% Mizar problem: t74_polynom9,polynom9,4562,5 
fof(t74_polynom9, conjecture,  (! [A] :  (m1_polynom9(A, k1_complfld, 4) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ~ ( (v1_pythtrip(B) &  (v1_pythtrip(C) &  (v1_pythtrip(D) &  (! [E] :  (v1_int_1(E) =>  ~ ( (k4_xcmplx_0(E)=k2_xcmplx_0(k2_xcmplx_0(k3_square_1(B), k3_xcmplx_0(2, k3_square_1(C))), k3_xcmplx_0(4, k3_square_1(D))) & k2_polynom2(4, k2_vectsp_1, k13_polynom9(4, A), k1_hilb10_2(4, k17_afinsq_1(E, B, k3_xcmplx_0(4, C), k3_xcmplx_0(16, D))))=k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v36_algstr_0, axiom,  (! [A] :  (l6_algstr_0(A) =>  (v36_algstr_0(A) => A=g6_algstr_0(u1_struct_0(A), u1_algstr_0(A), u2_algstr_0(A), u3_struct_0(A), u2_struct_0(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_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_fomodel0, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k2_xcmplx_0(A, k5_numbers)) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc10_pre_poly, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k15_pre_poly(A))) =>  (! [C] :  (m1_subset_1(C, B) => v4_relat_1(C, 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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_0(B)) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_fomodel0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finseq_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_pre_poly(B)) ) ) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc11_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k15_pre_poly(A))))  =>  (! [C] :  (m1_subset_1(C, B) =>  (v1_partfun1(C, A) &  (v6_valued_0(C) & v2_pre_poly(C)) ) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_0(B)) ) ) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_fomodel0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k2_xcmplx_0(A, 1)) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
fof(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_fomodel0, axiom,  (! [A] :  (v4_finseq_1(A) => v5_finset_1(A)) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc15_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v3_valued_0(A) & v7_valued_0(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v3_valued_0(A)) ) ) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc16_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (v1_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_valued_0(C)) ) ) ) ).
fof(cc17_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => v6_valued_0(A)) ) ).
fof(cc17_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  ~ (v1_xboole_0(B)) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (v2_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v2_valued_0(C)) ) ) ) ).
fof(cc18_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_numbers) => v5_valued_0(A)) ) ).
fof(cc18_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_setfam_1(B)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (v3_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v3_valued_0(C)) ) ) ) ).
fof(cc19_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k3_numbers) => v4_valued_0(A)) ) ).
fof(cc19_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) & v2_xxreal_0(A))  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (v4_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v4_valued_0(C)) ) ) ) ).
fof(cc1_abian, axiom,  (! [A] :  (v2_setfam_1(A) => v1_zfmisc_1(A)) ) ).
fof(cc1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_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_fvsum_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & v4_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v1_algstr_1(A)) ) ) ) ).
fof(cc1_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_xboole_0(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_partfun3(A)) ) ) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(cc1_polynom1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_struct_0(A) &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ) ) ).
fof(cc1_pre_poly, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v1_finseq_1(B)) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(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_rlvect_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v9_rlvect_1(A))  =>  ( ~ (v2_struct_0(A))  & v4_rlvect_1(A)) ) ) ) ).
fof(cc1_rvsum_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) =>  ( (v3_relat_1(A) &  (v1_funct_1(A) & v1_funct_2(A, k4_ordinal1, k2_numbers)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v6_valued_0(A)) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_vectsp_1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v5_vectsp_1(A))  =>  ( ~ (v2_struct_0(A))  &  (v1_vectsp_1(A) & v2_vectsp_1(A)) ) ) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc1_xxreal_0, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => v1_xxreal_0(A)) ) ).
fof(cc20_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => v3_valued_0(A)) ) ).
fof(cc20_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_relat_2(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_partit_2(A)) ) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc20_valued_0, axiom,  (! [A, B] :  (v5_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v5_valued_0(C)) ) ) ) ).
fof(cc21_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => v1_valued_0(A)) ) ).
fof(cc21_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_xtuple_0(B)) ) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
fof(cc22_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k6_numbers) => v2_valued_0(A)) ) ).
fof(cc22_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v4_fomodel0(A)) ) ) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_fomodel0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_fomodel0(B)) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) ) ) ) ).
fof(cc25_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(cc26_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v5_fomodel0(A)) ) ).
fof(cc27_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) ) ) ) ).
fof(cc28_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_int_1(A)) ) ) ).
fof(cc2_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_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)) ) ) ) ).
fof(cc2_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) => v4_funct_1(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_fomodel0, axiom,  (! [A] :  (v2_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_setfam_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_group_1, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v2_struct_0(A) => v3_group_1(A)) ) ) ).
fof(cc2_hilb10_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_hilb10_7(A)) ) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_newton04, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_xboole_0(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v4_partfun3(B)) ) ) ) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v2_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(cc2_polynom1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_rlvect_1(A) & v4_rlvect_1(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
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_rlvect_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & v4_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v9_rlvect_1(A)) ) ) ) ).
fof(cc2_rvsum_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) =>  ( (v3_relat_1(A) &  (v1_funct_1(A) & v1_funct_2(A, k4_ordinal1, k2_numbers)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v2_comseq_3(A)) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_vectsp_1, axiom,  (! [A] :  (l6_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v1_vectsp_1(A) & v2_vectsp_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v5_vectsp_1(A)) ) ) ) ).
fof(cc2_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc30_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v3_funct_1(B)) ) ) ) ) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_fomodel0, axiom,  (! [A] :  (v5_fomodel0(A) => v1_funct_1(A)) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) => v5_relat_1(B, A)) ) ) ).
fof(cc3_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) => v4_finseq_1(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_hilb10_7, axiom,  (! [A] :  (v1_xboole_0(A) => v2_hilb10_7(A)) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v1_zfmisc_1(A) & v7_ordinal1(A)) ) ) ).
fof(cc3_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_partfun3(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_pre_poly, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, k3_finseq_2(A)) => v1_pre_poly(B)) ) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(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_rlvect_1, axiom,  (! [A] :  (l2_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) & v2_rlvect_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v12_algstr_0(A)) ) ) ) ).
fof(cc3_rvsum_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v3_relat_1(A) &  (v1_funct_1(A) & v1_funct_2(A, k4_ordinal1, k1_numbers)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & v2_series_1(A)) ) ) ) ) ).
fof(cc3_struct_0, axiom,  (! [A] :  (l4_struct_0(A) =>  ( ~ (v6_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_vectsp_1, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v4_vectsp_1(A))  =>  ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & v6_vectsp_1(A)) ) ) ) ) ).
fof(cc3_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_valued_0(A)) ) ) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(C) & v5_relat_1(C, 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_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_newton03, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_pythtrip(A)) ) ) ).
fof(cc4_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_partfun3(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(cc4_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(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_rvsum_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) =>  ( (v1_funct_1(A) & v1_funct_2(A, k4_ordinal1, k2_numbers))  =>  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_funct_2(A, k4_ordinal1, k2_numbers)) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_vectsp_1, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & v6_vectsp_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v1_group_1(A)) ) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_fomodel0, 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(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_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_pythtrip(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_int_1(A)) ) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(cc5_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) ) ) ) ).
fof(cc5_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc5_rvsum_4, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) =>  ( (v1_funct_1(A) & v1_funct_2(A, k4_ordinal1, k1_numbers))  =>  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_funct_2(A, k4_ordinal1, k1_numbers)) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_vectsp_1, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v4_vectsp_1(A))  =>  ( ~ (v2_struct_0(A))  & v1_group_1(A)) ) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_afinsq_1(A)) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_fomodel0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v5_relat_1(B, 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_hilb10_7, axiom,  (! [A] :  (v2_hilb10_7(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_pre_poly, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => v1_card_3(A)) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(A)) ) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc6_vectsp_1, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & v6_vectsp_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v3_vectsp_1(A)) ) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0)))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_hilb10_7, axiom,  (! [A] :  (v2_hilb10_7(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_hilb10_7(B)) ) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_pre_poly(A)) ) ) ) ).
fof(cc7_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v4_relat_1(B, A)) ) ) ) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
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_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0))) ) ) ).
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_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_pre_poly, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pre_poly(B)) ) ) ) ) ) ) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v3_xxreal_0(A)) )  =>  (v7_ordinal1(A) & v1_int_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_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_pre_poly, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k15_pre_poly(A))) => v4_funct_1(B)) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(commutativity_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k12_fomodel0(B, A)) ).
fof(commutativity_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k2_nat_1(B, A)) ) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k3_xxreal_0(A, B)=k3_xxreal_0(B, A)) ) ).
fof(commutativity_k4_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k4_xxreal_0(A, B)=k4_xxreal_0(B, A)) ) ).
fof(commutativity_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k9_subset_1(A, C, B)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d10_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] : k11_finseq_1(A, B, C)=k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C))) ) ) ).
fof(d11_hilb10_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (! [E] :  (m2_finseq_1(E, A) =>  (E=k12_hilb10_7(A, B, C, D) <=>  (k4_finseq_1(E)=k4_finseq_1(C) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(E)) =>  ( (r2_tarski(F, D) => k1_funct_1(E, F)=k1_funct_1(k5_finseqop(A, B), k1_funct_1(C, F)))  &  ( ~ (r2_tarski(F, D))  => k1_funct_1(E, F)=k1_funct_1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_polynom9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k1_complfld)) =>  (B=k11_polynom9(A) <=>  (k3_finseq_1(B)=k3_finseq_1(A) &  (k1_funct_1(B, 1)=k1_funct_1(A, 1) &  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, k4_finseq_1(A)) =>  (C=1 |  (k1_square_1(k1_funct_1(B, C))=k1_funct_1(A, C) &  (r1_xxreal_0(k5_numbers, k3_complex1(k1_funct_1(B, C))) & r1_xxreal_0(k5_numbers, k4_complex1(k1_funct_1(B, C)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0).
fof(d1_complfld, axiom,  (! [A] :  ( (v36_algstr_0(A) & l6_algstr_0(A))  =>  (A=k1_complfld <=>  (u1_struct_0(A)=k2_numbers &  (u1_algstr_0(A)=k3_binop_2 &  (u2_algstr_0(A)=k5_binop_2 &  (k5_struct_0(A)=k6_complex1 & k4_struct_0(A)=k5_complex1) ) ) ) ) ) ) ).
fof(d1_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_finseq_1(A)=a_1_0_finseq_1(A)) ) ).
fof(d1_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) & v3_valued_0(B)) ) ) ) )  => k1_hilb10_2(A, B)=B) ) ) ) ).
fof(d1_newton03, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_zfmisc_1(A) <=> r1_xxreal_0(A, 1)) ) ) ).
fof(d2_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k2_hilb10_2(A, B, C)=C) ) ) ) ) ) ).
fof(d3_binop_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) )  =>  (A=k3_binop_2 <=>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) => k1_binop_1(A, B, C)=k2_xcmplx_0(B, C)) ) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d5_finseq_1, axiom,  (! [A] : k5_finseq_1(A)=k1_tarski(k4_tarski(1, A))) ).
fof(d5_vectsp_1, axiom, k2_vectsp_1=g6_algstr_0(k1_numbers, k9_binop_2, k11_binop_2, k10_subset_1(1, k1_numbers), k10_subset_1(k5_numbers, k1_numbers))).
fof(d6_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k7_partfun1(A, B, C)=k1_funct_1(B, C)) ) ) ) ) ).
fof(d6_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => k4_struct_0(A)=u2_struct_0(A)) ) ).
fof(d7_card_1, axiom,  (! [A] :  (! [B] :  (v3_card_1(B, A) <=> k1_card_1(B)=A) ) ) ).
fof(d7_funct_2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(D))  =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  =>  (r1_funct_2(A, B, C, D, E, F) <=>  (A=C &  (! [G] :  (m1_subset_1(G, A) => k1_funct_1(E, G)=k1_funct_1(F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => k5_struct_0(A)=u3_struct_0(A)) ) ).
fof(d7_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k6_xcmplx_0(A, B)=k2_xcmplx_0(A, k4_xcmplx_0(B))) ) ) ) ).
fof(d9_finseq_1, axiom,  (! [A] :  (! [B] : k10_finseq_1(A, B)=k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B))) ) ).
fof(dt_g6_algstr_0, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) )  =>  (v36_algstr_0(g6_algstr_0(A, B, C, D, E)) & l6_algstr_0(g6_algstr_0(A, B, C, D, E))) ) ) ).
fof(dt_k10_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k10_afinsq_1(A)) &  (v1_funct_1(k10_afinsq_1(A)) & v1_finseq_1(k10_afinsq_1(A))) ) ) ) ).
fof(dt_k10_finseq_1, axiom, $true).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k11_afinsq_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  => m2_finseq_1(k11_afinsq_1(A, B), A)) ) ).
fof(dt_k11_binop_2, axiom,  (v1_funct_1(k11_binop_2) &  (v1_funct_2(k11_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k11_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k11_finseq_1, axiom, $true).
fof(dt_k11_polynom9, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => m2_finseq_1(k11_polynom9(A), u1_struct_0(k1_complfld))) ) ).
fof(dt_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_1(k12_finseq_1(A, B), A)) ) ).
fof(dt_k12_fomodel0, axiom,  (! [A, B] : m1_subset_1(k12_fomodel0(A, B), k1_zfmisc_1(A))) ).
fof(dt_k12_hilb10_7, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_finseq_1(C, A)) )  => m2_finseq_1(k12_hilb10_7(A, B, C, D), A)) ) ).
fof(dt_k13_finseq_1, axiom, $true).
fof(dt_k13_fomodel0, axiom, $true).
fof(dt_k13_polynom9, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_polynom9(B, k1_complfld, A))  =>  (v5_relat_1(k13_polynom9(A, B), k4_numbers) &  (v1_funct_1(k13_polynom9(A, B)) &  (v1_funct_2(k13_polynom9(A, B), k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(k13_polynom9(A, B), k2_vectsp_1) & m1_subset_1(k13_polynom9(A, B), k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) ) ) ) ) ).
fof(dt_k14_pre_poly, axiom, $true).
fof(dt_k15_fomodel0, axiom,  (! [A, B] : m1_subset_1(k15_fomodel0(A, B), k1_zfmisc_1(k2_xboole_0(A, B)))) ).
fof(dt_k15_pre_poly, axiom,  (! [A] : m1_subset_1(k15_pre_poly(A), k1_zfmisc_1(k14_pre_poly(A)))) ).
fof(dt_k17_afinsq_1, axiom, $true).
fof(dt_k1_binop_1, axiom, $true).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_complex1, axiom, $true).
fof(dt_k1_complfld, axiom,  (v36_algstr_0(k1_complfld) & l6_algstr_0(k1_complfld)) ).
fof(dt_k1_finseq_1, axiom, $true).
fof(dt_k1_finsop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) )  => m1_subset_1(k1_finsop_1(A, B, C), A)) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ).
fof(dt_k1_hilb10_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) & v3_valued_0(B)) ) ) ) ) )  =>  (v1_funct_1(k1_hilb10_2(A, B)) &  (v1_funct_2(k1_hilb10_2(A, B), A, u1_struct_0(k2_vectsp_1)) & m1_subset_1(k1_hilb10_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1))))) ) ) ) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k1_square_1, axiom, $true).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k24_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => m1_subset_1(k24_fomodel0(A, B), k1_zfmisc_1(B))) ) ).
fof(dt_k25_fomodel0, axiom, $true).
fof(dt_k26_fomodel0, axiom, $true).
fof(dt_k27_fomodel0, axiom, $true).
fof(dt_k28_fomodel0, axiom, $true).
fof(dt_k2_complex1, axiom, $true).
fof(dt_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k2_hilb10_2, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) )  =>  (v1_relat_1(k2_hilb10_2(A, B, C)) &  (v5_relat_1(k2_hilb10_2(A, B, C), B) &  (v1_funct_1(k2_hilb10_2(A, B, C)) &  (v5_ordinal1(k2_hilb10_2(A, B, C)) &  (v1_finset_1(k2_hilb10_2(A, B, C)) & v3_card_1(k2_hilb10_2(A, B, C), A)) ) ) ) ) ) ) ).
fof(dt_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k2_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_polynom2, axiom,  (! [A, B, C, D] :  ( (v3_ordinal1(A) &  ( ( ~ (v7_struct_0(B))  &  (v13_algstr_0(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v4_vectsp_1(B) &  (v5_vectsp_1(B) & l6_algstr_0(B)) ) ) ) ) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) &  (v1_polynom1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B))))) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, u1_struct_0(B)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(B))))) ) ) ) )  => m1_subset_1(k2_polynom2(A, B, C, D), u1_struct_0(B))) ) ).
fof(dt_k2_vectsp_1, axiom,  (v36_algstr_0(k2_vectsp_1) & l6_algstr_0(k2_vectsp_1)) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_binop_2, axiom,  (v1_funct_1(k3_binop_2) &  (v1_funct_2(k3_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(k3_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) ) ).
fof(dt_k3_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => m1_subset_1(k3_complex1(A), k1_numbers)) ) ).
fof(dt_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k3_finseq_1(A), k4_ordinal1)) ) ).
fof(dt_k3_finseq_2, axiom,  (! [A] : m1_finseq_2(k3_finseq_2(A), A)) ).
fof(dt_k3_finseq_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => m2_finseq_1(k3_finseq_4(A, B, C, D), A)) ) ).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_2(k3_pre_poly(A, B), A, k3_finseq_2(A))) ) ).
fof(dt_k3_square_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k3_square_1(A))) ) ).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k3_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v1_xxreal_0(k3_xxreal_0(A, B))) ) ).
fof(dt_k4_binop_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  => m1_subset_1(k4_binop_1(A, B, C, D), A)) ) ).
fof(dt_k4_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => m1_subset_1(k4_complex1(A), k1_numbers)) ) ).
fof(dt_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k4_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k4_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k4_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v1_xxreal_0(k4_xxreal_0(A, B))) ) ).
fof(dt_k5_binop_2, axiom,  (v1_funct_1(k5_binop_2) &  (v1_funct_2(k5_binop_2, k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers) & m1_subset_1(k5_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k2_numbers), k2_numbers)))) ) ).
fof(dt_k5_complex1, axiom, m1_subset_1(k5_complex1, k2_numbers)).
fof(dt_k5_finseq_1, axiom, $true).
fof(dt_k5_finseqop, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (v1_funct_1(k5_finseqop(A, B)) &  (v1_funct_2(k5_finseqop(A, B), A, A) & m1_subset_1(k5_finseqop(A, B), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k5_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => m1_subset_1(k5_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k6_complex1, axiom, m1_subset_1(k6_complex1, k2_numbers)).
fof(dt_k6_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k6_domain_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ).
fof(dt_k7_finseq_4, axiom, $true).
fof(dt_k7_partfun1, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  => m1_subset_1(k7_partfun1(A, B, C), A)) ) ).
fof(dt_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k7_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k8_finseq_1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => m2_finseq_1(k8_finseq_1(A, B, C), A)) ) ).
fof(dt_k9_binop_2, axiom,  (v1_funct_1(k9_binop_2) &  (v1_funct_2(k9_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k9_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k9_finseq_1, axiom,  (! [A] :  (v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A))) ) ).
fof(dt_k9_finseq_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => m2_finseq_1(k9_finseq_4(A, B, C, D, E), A)) ) ).
fof(dt_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k9_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (l2_struct_0(A) & l1_algstr_0(A)) ) ) ).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_l3_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) => l1_struct_0(A)) ) ).
fof(dt_l3_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_l4_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (l3_struct_0(A) & l3_algstr_0(A)) ) ) ).
fof(dt_l4_struct_0, axiom,  (! [A] :  (l4_struct_0(A) =>  (l2_struct_0(A) & l3_struct_0(A)) ) ) ).
fof(dt_l5_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (l4_algstr_0(A) & l4_struct_0(A)) ) ) ).
fof(dt_l6_algstr_0, axiom,  (! [A] :  (l6_algstr_0(A) =>  (l2_algstr_0(A) & l5_algstr_0(A)) ) ) ).
fof(dt_m1_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(dt_m1_finseq_2, axiom, $true).
fof(dt_m1_polynom9, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (! [C] :  (m1_polynom9(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k15_pre_poly(B), u1_struct_0(A)) &  (v1_polynom1(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B), u1_struct_0(A))))) ) ) ) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_funct_1(B) &  (v1_finseq_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ) ).
fof(dt_m2_finseq_2, axiom,  (! [A, B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_2(C, A, B) => m2_finseq_1(C, A)) ) ) ) ).
fof(dt_u1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_algstr_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u2_algstr_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_u3_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => m1_subset_1(u3_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_algstr_0, axiom,  (? [A] : l1_algstr_0(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_algstr_0, axiom,  (? [A] : l2_algstr_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_l3_algstr_0, axiom,  (? [A] : l3_algstr_0(A)) ).
fof(existence_l3_struct_0, axiom,  (? [A] : l3_struct_0(A)) ).
fof(existence_l4_algstr_0, axiom,  (? [A] : l4_algstr_0(A)) ).
fof(existence_l4_struct_0, axiom,  (? [A] : l4_struct_0(A)) ).
fof(existence_l5_algstr_0, axiom,  (? [A] : l5_algstr_0(A)) ).
fof(existence_l6_algstr_0, axiom,  (? [A] : l6_algstr_0(A)) ).
fof(existence_m1_finseq_1, axiom,  (! [A] :  (? [B] : m1_finseq_1(B, A)) ) ).
fof(existence_m1_finseq_2, axiom,  (! [A] :  (? [B] : m1_finseq_2(B, A)) ) ).
fof(existence_m1_polynom9, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & l6_algstr_0(A)) ) ) ) ) ) ) ) ) )  & v7_ordinal1(B))  =>  (? [C] : m1_polynom9(C, A, B)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_1(B, A)) ) ).
fof(existence_m2_finseq_2, axiom,  (! [A, B] :  (m1_finseq_2(B, A) =>  (? [C] : m2_finseq_2(C, A, B)) ) ) ).
fof(fc100_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v7_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc101_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v10_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc102_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v8_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc103_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k9_xtuple_0(B), k9_xtuple_0(A)))) ) ).
fof(fc103_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v9_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc104_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k10_xtuple_0(B), k10_xtuple_0(A)))) ) ).
fof(fc105_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k9_xtuple_0(k2_zfmisc_1(A, B)), A))) ).
fof(fc107_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k10_xtuple_0(k2_zfmisc_1(A, B)), B))) ).
fof(fc108_valued_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_relat_1(A, k4_ordinal1))  => v6_membered(k9_xtuple_0(A))) ) ).
fof(fc10_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k2_xcmplx_0(A, B))) ) ) ).
fof(fc10_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ( ~ (v1_finset_1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc10_finseq_1, axiom,  (! [A, B] : v1_finseq_1(k10_finseq_1(A, B))) ).
fof(fc10_finset_1, axiom,  (! [A, B] :  (v1_finset_1(B) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc10_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v3_fomodel0(k3_xboole_0(B, A), A)) ) ).
fof(fc10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  => v1_setfam_1(k10_xtuple_0(A))) ) ).
fof(fc10_hilb10_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_hilb10_7(A)) ) )  => v2_hilb10_7(k1_tarski(A))) ) ).
fof(fc10_membered, axiom,  (! [A] :  (v1_rat_1(A) => v4_membered(k1_tarski(A))) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc10_pre_poly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_card_3(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_card_3(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_card_3(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc10_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ( ~ (v1_xboole_0(k5_relat_1(A, B)))  & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc10_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => v9_struct_0(k4_struct_0(A), A)) ) ).
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_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  &  (v1_relat_1(B) & v4_valued_0(B)) )  => v4_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc115_fomodel0, axiom,  (! [A, B, C, D] : v1_xboole_0(k4_xboole_0(k2_zfmisc_1(A, B), k2_zfmisc_1(k2_xboole_0(A, C), k2_xboole_0(B, D))))) ).
fof(fc119_fomodel0, axiom,  (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), B)) ).
fof(fc11_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k2_xcmplx_0(B, A))) ) ) ).
fof(fc11_finseq_1, axiom,  (! [A, B, C] : v1_finseq_1(k11_finseq_1(A, B, C))) ).
fof(fc11_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(fc11_membered, axiom,  (! [A] :  (v1_int_1(A) => v5_membered(k1_tarski(A))) ) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc11_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k3_xcmplx_0(A, A))) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc11_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc11_struct_0, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l4_struct_0(A))  =>  ~ (v9_struct_0(k5_struct_0(A), A)) ) ) ).
fof(fc11_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  &  (v1_relat_1(B) & v5_valued_0(B)) )  => v5_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc120_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A)))) &  (v1_funct_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A)))) & v3_relat_2(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A))))) ) ) ).
fof(fc12_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k13_finseq_1(A))) ) ).
fof(fc12_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k4_xboole_0(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_membered, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k1_tarski(A))) ) ).
fof(fc12_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v3_valued_0(A) & v4_partfun3(A)) ) ) )  & v7_ordinal1(B))  =>  ~ (v3_xxreal_0(k1_funct_1(A, B))) ) ) ).
fof(fc12_polynom9, axiom,  (! [A, B, C, D] : v3_card_1(k17_afinsq_1(A, B, C, D), 4)) ).
fof(fc12_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  &  (v1_relat_1(B) & v6_valued_0(B)) )  => v6_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc133_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_abian(A)) )  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc13_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k6_xcmplx_0(A, B))) ) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_finseq_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_finseq_1(k5_relat_1(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_hilb10_2, axiom,  (! [A, B, C] :  ( (v3_ordinal1(A) &  ( (v5_relat_1(B, k4_numbers) &  (v1_funct_1(B) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) &  (v1_polynom1(B, k2_vectsp_1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1))))) ) ) )  &  (v5_relat_1(C, k4_numbers) &  (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k2_vectsp_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1))))) ) ) ) )  => v1_int_1(k2_polynom2(A, k2_vectsp_1, B, C))) ) ).
fof(fc13_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_pythtrip(A))  =>  (v7_ordinal1(k3_square_1(A)) & v1_xreal_0(k3_square_1(A))) ) ) ).
fof(fc13_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v3_valued_0(A) & v3_partfun3(A)) ) ) )  & v7_ordinal1(B))  =>  ~ (v2_xxreal_0(k1_funct_1(A, B))) ) ) ).
fof(fc13_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  & v1_relat_1(B))  => v1_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k6_xcmplx_0(B, A))) ) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, 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_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funcop_1(k5_relat_1(A, B))) ) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc14_polynom9, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => v5_relat_1(k17_afinsq_1(A, B, C, D), k1_numbers)) ) ).
fof(fc14_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v1_pre_poly(k5_finseq_1(A))) ) ).
fof(fc14_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  & v1_relat_1(B))  => v1_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k6_xcmplx_0(A, B))) ) ).
fof(fc15_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_finseq_1(k1_finseq_1(A))) ) ).
fof(fc15_newton03, axiom,  (! [A] :  (v1_int_1(A) => v1_pythtrip(k3_xcmplx_0(A, A))) ) ).
fof(fc15_pre_poly, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_pre_poly(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v1_pre_poly(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v1_pre_poly(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc15_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  & v1_relat_1(B))  => v2_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc15_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  => v1_abian(k2_xcmplx_0(A, 2))) ) ).
fof(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
fof(fc16_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_finseq_1(k1_tarski(A))) ) ).
fof(fc16_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc16_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  & v1_relat_1(B))  => v2_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ~ (v1_abian(k2_xcmplx_0(A, 2))) ) ) ).
fof(fc17_card_1, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) )  => v3_card_1(k9_xtuple_0(B), A)) ) ).
fof(fc17_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc17_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_funct_1(k5_relat_1(A, B))) ) ) ).
fof(fc17_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc17_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc17_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  & v1_relat_1(B))  => v3_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc17_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ) ).
fof(fc18_abian, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_setfam_1(B))  &  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & m1_subset_1(D, A)) ) )  =>  ~ (v1_xboole_0(k1_funct_1(C, D))) ) ) ).
fof(fc18_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_zfmisc_1(A))  &  (v3_card_1(B, 1) & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  ~ (v1_xboole_0(k4_xboole_0(A, B))) ) ) ).
fof(fc18_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(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(fc18_hilb10_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  => v2_relat_1(k5_finseq_1(A))) ) ).
fof(fc18_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  & v1_relat_1(B))  => v3_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k1_zfmisc_1(A))) ) ) ).
fof(fc19_finseq_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v3_finseq_1(B))  => v3_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(fc19_hilb10_7, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & m1_finseq_1(C, A)) )  => v3_card_1(k12_hilb10_7(A, B, C, D), k3_finseq_1(C))) ) ).
fof(fc19_struct_0, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v13_struct_0(B, A) & l1_struct_0(B)) )  => v3_card_1(u1_struct_0(B), A)) ) ).
fof(fc19_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  & v1_relat_1(B))  => v4_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc19_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc1_abian, axiom,  (! [A] :  (v1_int_1(A) => v1_abian(k3_xcmplx_0(2, A))) ) ).
fof(fc1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => v7_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc1_bagorder, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_pre_poly(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_pre_poly(k5_relat_1(A, B))) ) ) ).
fof(fc1_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc1_complfld, axiom,  ( ~ (v2_struct_0(k1_complfld))  & v36_algstr_0(k1_complfld)) ).
fof(fc1_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k1_finseq_1(A))) ) ).
fof(fc1_finseq_4, axiom,  (! [A, B, C, D] :  (v1_relat_1(k7_finseq_4(A, B, C, D)) &  (v1_funct_1(k7_finseq_4(A, B, C, D)) &  ~ (v1_xboole_0(k7_finseq_4(A, B, C, D))) ) ) ) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc1_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc1_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_rlvect_1(A) & l2_algstr_0(A)) )  =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_binop_1(u1_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  &  (v1_xreal_0(B) & v2_xxreal_0(B)) )  =>  (v1_xxreal_0(k4_xxreal_0(A, B)) & v2_xxreal_0(k4_xxreal_0(A, B))) ) ) ).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc1_pepin, axiom,  (! [A] :  (v1_int_1(A) => v7_ordinal1(k1_square_1(A))) ) ).
fof(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
fof(fc1_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  &  (v1_relat_1(C) & v4_relat_1(C, A)) )  => v4_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc1_square_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k1_square_1(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(fc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  => v1_membered(k10_xtuple_0(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_finseq_1, axiom,  (! [A, B] :  (v3_finseq_1(A) => v3_finseq_1(k4_xboole_0(A, B))) ) ).
fof(fc20_newton04, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v3_valued_0(B) & v4_partfun3(B)) ) ) )  =>  ~ (v3_xxreal_0(k1_funct_1(B, A))) ) ) ).
fof(fc20_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  & v1_relat_1(B))  => v4_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_finseq_1, axiom,  (! [A, B] :  (v3_finseq_1(A) => v3_finseq_1(k3_xboole_0(A, B))) ) ).
fof(fc21_newton03, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ( ~ (v1_abian(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ) ).
fof(fc21_newton04, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v3_valued_0(B) & v3_partfun3(B)) ) ) )  =>  ~ (v2_xxreal_0(k1_funct_1(B, A))) ) ) ).
fof(fc21_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  & v1_relat_1(B))  => v5_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc21_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc22_newton04, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc22_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  & v1_relat_1(B))  => v5_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc23_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k5_finseq_1(A))) ) ).
fof(fc23_hilb10_7, axiom,  (! [A, B] :  ( (v2_hilb10_7(A) & v2_hilb10_7(B))  => v2_hilb10_7(k2_xboole_0(A, B))) ) ).
fof(fc23_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc23_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  & v1_relat_1(B))  => v6_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  ( ~ (v1_xboole_0(k7_finseq_1(A, B)))  & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc24_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_finset_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc24_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc24_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  & v1_relat_1(B))  => v6_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, A)) &  (v1_funct_1(k7_finseq_1(B, A)) &  ( ~ (v1_xboole_0(k7_finseq_1(B, A)))  & v1_finseq_1(k7_finseq_1(B, A))) ) ) ) ) ).
fof(fc25_funcop_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_binop_1(A, B, C)) & v1_funct_1(k1_binop_1(A, B, C))) ) ) ).
fof(fc25_membered, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k2_xboole_0(A, B))) ) ).
fof(fc25_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k6_xcmplx_0(A, B))) ) ).
fof(fc25_pre_poly, axiom,  (! [A] :  ~ (v1_xboole_0(k14_pre_poly(A))) ) ).
fof(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_finseq_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k10_finseq_1(A, B))) ) ).
fof(fc26_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_finset_1(B))  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc26_fomodel0, axiom,  (! [A] : v1_xboole_0(k4_xboole_0(A, A))) ).
fof(fc26_membered, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k2_xboole_0(A, B))) ) ).
fof(fc26_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc26_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_relat_1(k5_relat_1(C, A), B)) ) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc27_afinsq_1, axiom,  (! [A, B, C, D] :  (v1_relat_1(k17_afinsq_1(A, B, C, D)) & v1_funct_1(k17_afinsq_1(A, B, C, D))) ) ).
fof(fc27_finseq_1, axiom,  (! [A, B, C] :  ~ (v1_xboole_0(k11_finseq_1(A, B, C))) ) ).
fof(fc27_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc27_membered, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k2_xboole_0(A, B))) ) ).
fof(fc27_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc27_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) &  (v4_relat_1(k5_relat_1(C, A), A) & v4_relat_1(k5_relat_1(C, A), B)) ) ) ) ).
fof(fc28_afinsq_1, axiom,  (! [A, B, C, D] :  (v5_ordinal1(k17_afinsq_1(A, B, C, D)) & v1_finset_1(k17_afinsq_1(A, B, C, D))) ) ).
fof(fc28_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc28_membered, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k2_xboole_0(A, B))) ) ).
fof(fc28_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  => v1_abian(k6_xcmplx_0(A, B))) ) ).
fof(fc29_membered, axiom,  (! [A, B] :  ( (v5_membered(A) & v5_membered(B))  => v5_membered(k2_xboole_0(A, B))) ) ).
fof(fc29_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k3_xcmplx_0(A, B))) ) ) ).
fof(fc2_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  ~ (v1_abian(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc2_afinsq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_finset_1(k5_relat_1(A, B))) ) ) ).
fof(fc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc2_complfld, axiom, v1_membered(u1_struct_0(k1_complfld))).
fof(fc2_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k1_finseq_1(A))) ) ) ).
fof(fc2_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_rlvect_1(A) & l2_algstr_0(A)) )  =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_newton03, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) & v2_xxreal_0(A))  &  (v1_xreal_0(B) & v2_xxreal_0(B)) )  =>  (v1_xxreal_0(k3_xxreal_0(A, B)) & v2_xxreal_0(k3_xxreal_0(A, B))) ) ) ).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc2_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, A)) )  =>  ~ (v1_xboole_0(k1_funct_1(B, C))) ) ) ).
fof(fc2_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k4_xboole_0(A, B))) ) ).
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_rvsum_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_relat_1(B, C)) &  (v5_ordinal1(k5_relat_1(B, C)) & v1_finset_1(k5_relat_1(B, C))) ) ) ) ).
fof(fc2_square_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k1_square_1(A))) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  => v2_membered(k10_xtuple_0(A))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(fc30_afinsq_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v2_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(k10_afinsq_1(B)) &  (v1_funct_1(k10_afinsq_1(B)) &  (v2_funct_1(k10_afinsq_1(B)) & v1_finseq_1(k10_afinsq_1(B))) ) ) ) ) ).
fof(fc30_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_tarski(A))) ) ).
fof(fc30_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) => v1_xboole_0(k4_xboole_0(A, k2_zfmisc_1(k9_xtuple_0(A), k10_xtuple_0(A))))) ) ).
fof(fc30_membered, axiom,  (! [A, B] :  ( (v6_membered(A) & v6_membered(B))  => v6_membered(k2_xboole_0(A, B))) ) ).
fof(fc30_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) & v1_abian(B)) )  =>  ~ (v1_abian(k2_xcmplx_0(A, B))) ) ) ).
fof(fc30_rvsum_4, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) &  (v1_finset_1(C) & v3_card_1(C, k2_xcmplx_0(A, B))) ) ) ) ) )  =>  (v1_relat_1(k5_relat_1(C, A)) & v3_card_1(k5_relat_1(C, A), A)) ) ) ).
fof(fc31_afinsq_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(k10_afinsq_1(B)) &  (v1_funct_1(k10_afinsq_1(B)) &  (v1_xboole_0(k10_afinsq_1(B)) & v1_finseq_1(k10_afinsq_1(B))) ) ) ) ) ).
fof(fc31_finseq_1, axiom,  (! [A] : v4_funct_1(k13_finseq_1(A))) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc31_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k3_xboole_0(A, B))) ) ).
fof(fc31_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) & v1_abian(B)) )  =>  ~ (v1_abian(k6_xcmplx_0(A, B))) ) ) ).
fof(fc32_finseq_1, axiom,  (! [A] : v3_card_1(k5_finseq_1(A), 1)) ).
fof(fc32_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k3_xboole_0(B, A))) ) ).
fof(fc32_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc33_finseq_1, axiom,  (! [A, B] : v3_card_1(k10_finseq_1(A, B), 2)) ).
fof(fc33_finset_1, axiom,  (! [A, B] :  ( (v5_finset_1(A) & v5_finset_1(B))  => v5_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc33_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k3_xboole_0(A, B))) ) ).
fof(fc33_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc34_finseq_1, axiom,  (! [A, B, C] : v3_card_1(k11_finseq_1(A, B, C), 3)) ).
fof(fc34_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k3_xboole_0(B, A))) ) ).
fof(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
fof(fc35_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  => v1_finset_1(k1_funct_1(A, B))) ) ).
fof(fc35_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k3_xboole_0(A, B))) ) ).
fof(fc35_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  &  (v1_int_1(B) &  ~ (v1_pythtrip(B)) ) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(A, B))) ) ) ).
fof(fc35_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_xxreal_0(k3_xxreal_0(A, B)) & v1_xreal_0(k3_xxreal_0(A, B))) ) ) ).
fof(fc36_finseq_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v4_finseq_1(B))  => v4_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
fof(fc36_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k3_xboole_0(B, A))) ) ).
fof(fc36_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_xxreal_0(k4_xxreal_0(A, B)) & v1_xreal_0(k4_xxreal_0(A, B))) ) ) ).
fof(fc37_finseq_1, axiom,  (! [A] : v4_finseq_1(k13_finseq_1(A))) ).
fof(fc37_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k3_xboole_0(A, B))) ) ).
fof(fc38_finseq_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(fc38_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k3_xboole_0(B, A))) ) ).
fof(fc38_newton03, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_int_1(A) & v1_pythtrip(A)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc39_finseq_1, axiom,  (! [A, B, C] :  ( (v4_finseq_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) ) )  => v1_finseq_1(k1_funct_1(B, C))) ) ).
fof(fc39_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k3_xboole_0(A, B))) ) ).
fof(fc39_newton03, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_pythtrip(A)) )  =>  ~ (v1_pythtrip(k2_xcmplx_0(A, 1))) ) ) ).
fof(fc3_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  => v1_abian(k2_xcmplx_0(A, 1))) ) ).
fof(fc3_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc3_complfld, axiom,  (v36_algstr_0(k1_complfld) & v4_vectsp_1(k1_complfld)) ).
fof(fc3_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k1_finseq_1(A))) ) ).
fof(fc3_finseq_4, axiom,  (! [A, B, C, D] : v1_finseq_1(k7_finseq_4(A, B, C, D))) ).
fof(fc3_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k4_xboole_0(k3_finseq_2(A), k1_tarski(k1_xboole_0)))) ) ) ).
fof(fc3_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & l3_algstr_0(A)) )  =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A))) ) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_newton04, axiom,  (! [A] :  ( (v1_xcmplx_0(A) &  ~ (v1_xreal_0(A)) )  =>  ~ (v8_ordinal1(k2_complex1(A))) ) ) ).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc3_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k2_xboole_0(A, B))) ) ).
fof(fc3_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc3_rvsum_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_relat_1(B, C)) & v3_card_1(k5_relat_1(B, C), C)) ) ) ).
fof(fc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  => v3_membered(k10_xtuple_0(A))) ) ).
fof(fc3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k3_xcmplx_0(A, B))) ) ).
fof(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
fof(fc40_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k3_xboole_0(B, A))) ) ).
fof(fc40_newton03, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_pythtrip(A))  &  (v7_ordinal1(B) &  ~ (v1_pythtrip(B)) ) )  =>  ~ (v1_pythtrip(k3_xcmplx_0(A, B))) ) ) ).
fof(fc41_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k3_xboole_0(A, B))) ) ).
fof(fc42_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) &  (v3_card_1(D, k2_xcmplx_0(B, C)) & v1_finseq_1(D)) ) ) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D, B)), A))) ) ).
fof(fc42_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k3_xboole_0(B, A))) ) ).
fof(fc43_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, k2_xcmplx_0(k2_xcmplx_0(B, 1), C)) & m1_subset_1(D, k3_finseq_2(A))) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D, k2_xcmplx_0(B, 1))), A))) ) ).
fof(fc43_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k4_xboole_0(A, B))) ) ).
fof(fc43_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc44_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k4_xboole_0(A, B))) ) ).
fof(fc44_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (v8_ordinal1(k6_xcmplx_0(A, 1))) ) ) ).
fof(fc44_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc45_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k4_xboole_0(A, B))) ) ).
fof(fc45_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc46_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, k2_xcmplx_0(A, B)) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k2_finseq_1(A))) &  (v1_funct_1(k5_relat_1(C, k2_finseq_1(A))) &  (v3_card_1(k5_relat_1(C, k2_finseq_1(A)), A) & v1_finseq_1(k5_relat_1(C, k2_finseq_1(A)))) ) ) ) ) ).
fof(fc46_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k4_xboole_0(A, B))) ) ).
fof(fc46_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v4_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc47_fomodel0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_partfun1(C, A)) ) )  =>  (v1_relat_1(k5_relat_1(C, B)) &  (v4_relat_1(k5_relat_1(C, B), B) & v1_partfun1(k5_relat_1(C, B), B)) ) ) ) ).
fof(fc47_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k4_xboole_0(A, B))) ) ).
fof(fc47_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v7_ordinal1(A) & v1_pythtrip(A)) )  =>  ~ (v1_pythtrip(k6_xcmplx_0(A, 1))) ) ) ).
fof(fc47_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v5_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc48_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k4_xboole_0(A, B))) ) ).
fof(fc48_newton03, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  ~ (v1_pythtrip(k3_xcmplx_0(A, k6_xcmplx_0(A, 1)))) ) ) ).
fof(fc48_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v6_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc4_abian, axiom,  (! [A] :  ( (v1_int_1(A) & v1_abian(A))  =>  ~ (v1_abian(k6_xcmplx_0(A, 1))) ) ) ).
fof(fc4_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v8_ordinal1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc4_complfld, axiom,  ( ~ (v6_struct_0(k1_complfld))  &  (v13_algstr_0(k1_complfld) &  (v33_algstr_0(k1_complfld) &  (v36_algstr_0(k1_complfld) &  (v3_vectsp_1(k1_complfld) &  (v5_vectsp_1(k1_complfld) &  (v6_vectsp_1(k1_complfld) &  (v2_rlvect_1(k1_complfld) &  (v3_rlvect_1(k1_complfld) &  (v4_rlvect_1(k1_complfld) &  (v3_group_1(k1_complfld) & v5_group_1(k1_complfld)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc4_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_card_1(k1_finseq_1(A), A)) ) ).
fof(fc4_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, k1_tarski(B))) &  (v1_funct_1(k5_relat_1(A, k1_tarski(B))) & v2_funct_1(k5_relat_1(A, k1_tarski(B)))) ) ) ) ).
fof(fc4_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & l3_algstr_0(A)) )  =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v2_binop_1(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc4_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k6_xcmplx_0(A, B))) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  &  (v1_relat_1(C) & v5_relat_1(C, A)) )  => v5_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc4_rvsum_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v5_ordinal1(k1_funct_4(B, C)) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  => v4_membered(k10_xtuple_0(A))) ) ).
fof(fc4_vectsp_1, axiom,  ( ~ (v2_struct_0(k2_vectsp_1))  & v36_algstr_0(k2_vectsp_1)) ).
fof(fc4_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(A, B))) ) ) ).
fof(fc4_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k6_xcmplx_0(A, B))) ) ).
fof(fc50_fomodel0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_xxreal_0(k6_xcmplx_0(k4_xxreal_0(A, B), A)) &  ~ (v3_xxreal_0(k6_xcmplx_0(k4_xxreal_0(A, B), A))) ) ) ) ).
fof(fc51_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(B, A))) ) ).
fof(fc52_newton03, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v1_zfmisc_1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc54_finseq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc55_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v6_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v6_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v6_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc55_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k13_fomodel0(B, A))) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc56_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v5_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc56_fomodel0, axiom,  (! [A, B] :  (v1_funct_1(A) => v1_funct_1(k13_fomodel0(B, A))) ) ).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc56_newton03, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc57_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v4_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v4_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v4_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc57_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_finseq_1(A))  =>  (v1_relat_1(k13_fomodel0(B, A)) & v1_finseq_1(k13_fomodel0(B, A))) ) ) ).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc58_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v3_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc58_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k13_fomodel0(B, A)) &  (v1_funct_1(k13_fomodel0(B, A)) &  (v3_card_1(k13_fomodel0(B, A), k3_finseq_1(A)) & v1_finseq_1(k13_fomodel0(B, A))) ) ) ) ) ).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc58_newton03, axiom,  (! [A, B] :  ( (v1_int_1(A) &  (v7_ordinal1(B) & v8_ordinal1(B)) )  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc59_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc59_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  =>  ~ (v8_ordinal1(k1_card_1(A))) ) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc5_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  => v1_abian(k6_xcmplx_0(A, 1))) ) ).
fof(fc5_finseq_4, axiom,  (! [A, B, C, D] : v3_card_1(k7_finseq_4(A, B, C, D), 4)) ).
fof(fc5_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(k1_tarski(A))) ) ).
fof(fc5_group_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_group_1(A) & l3_algstr_0(A)) )  =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & v1_setwiseo(u2_algstr_0(A), u1_struct_0(A))) ) ) ) ).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v7_ordinal1(k3_xxreal_0(A, B)) & v1_xxreal_0(k3_xxreal_0(A, B))) ) ) ).
fof(fc5_numbers, axiom,  ~ (v1_xboole_0(k6_numbers)) ).
fof(fc5_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) &  (v5_relat_1(k5_relat_1(A, B), k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ) ).
fof(fc5_relat_1, axiom,  (! [A, B] : v1_relat_1(k1_tarski(k4_tarski(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  => v5_membered(k10_xtuple_0(A))) ) ).
fof(fc5_vectsp_1, axiom, v3_membered(u1_struct_0(k2_vectsp_1))).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc5_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v1_xxreal_0(k3_xxreal_0(A, B))) ) ).
fof(fc60_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v2_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc60_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) =>  (v1_relat_1(k5_relat_1(A, B)) & v4_relat_1(k5_relat_1(A, B), B)) ) ) ).
fof(fc61_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v6_valued_0(k5_finseq_1(A))) ) ).
fof(fc61_fomodel0, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k13_fomodel0(A, B))) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_xcmplx_0(k1_funct_1(A, B))) ) ).
fof(fc62_finseq_1, axiom,  (! [A] :  (v1_int_1(A) => v5_valued_0(k5_finseq_1(A))) ) ).
fof(fc62_fomodel0, axiom,  (! [A, B] :  (v1_xboole_0(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v5_relat_1(k13_fomodel0(A, B), A)) ) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => v1_xxreal_0(k1_funct_1(A, B))) ) ).
fof(fc63_finseq_1, axiom,  (! [A] :  (v1_rat_1(A) => v4_valued_0(k5_finseq_1(A))) ) ).
fof(fc63_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k13_fomodel0(B, C)) & v4_relat_1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ).
fof(fc63_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_funct_1(A, B))) ) ).
fof(fc64_finseq_1, axiom,  (! [A] :  (v1_xreal_0(A) => v3_valued_0(k5_finseq_1(A))) ) ).
fof(fc64_fomodel0, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_finseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_valued_0(k5_finseq_1(A))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_finseq_1, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_valued_0(k5_finseq_1(A))) ) ).
fof(fc66_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(B, 1)), A))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc68_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v5_relat_1(k13_fomodel0(A, B), k2_xboole_0(A, k10_xtuple_0(B)))) ) ) ).
fof(fc69_fomodel0, axiom,  (! [A, B] :  ( (v4_funct_1(A) & v4_funct_1(B))  => v4_funct_1(k2_xboole_0(A, B))) ) ).
fof(fc6_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  & v1_int_1(B))  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_finseq_1, axiom,  (! [A] :  (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A))) ) ).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v7_ordinal1(k4_xxreal_0(A, B)) & v1_xxreal_0(k4_xxreal_0(A, B))) ) ) ).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc6_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  => v6_membered(k10_xtuple_0(A))) ) ).
fof(fc6_vectsp_1, axiom,  (v36_algstr_0(k2_vectsp_1) & v4_vectsp_1(k2_vectsp_1)) ).
fof(fc6_xcmplx_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ( ~ (v8_ordinal1(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc6_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v1_xxreal_0(k4_xxreal_0(A, B))) ) ).
fof(fc73_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc74_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v2_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc75_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v3_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc76_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v4_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v4_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc77_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v5_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v5_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc78_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v6_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v6_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc7_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  & v1_int_1(B))  => v1_abian(k3_xcmplx_0(B, A))) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_finseq_1, axiom,  (! [A] : v1_finseq_1(k5_finseq_1(A))) ).
fof(fc7_finseq_4, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k13_finseq_1(A)) & v7_ordinal1(C))  =>  (v1_relat_1(k7_partfun1(k13_finseq_1(A), B, C)) & v1_funct_1(k7_partfun1(k13_finseq_1(A), B, C))) ) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_membered, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_membered(k1_tarski(A))) ) ).
fof(fc7_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v8_ordinal1(k1_funct_1(A, k2_xcmplx_0(k3_finseq_1(A), B)))) ) ).
fof(fc7_numbers, axiom,  ~ (v1_finset_1(k3_numbers)) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc7_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  &  (v1_relat_1(B) & v1_valued_0(B)) )  => v1_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc7_vectsp_1, axiom,  (v36_algstr_0(k2_vectsp_1) & v1_group_1(k2_vectsp_1)) ).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc80_fomodel0, axiom,  (! [A] : v1_setfam_1(k4_xboole_0(A, k1_tarski(k1_xboole_0)))) ).
fof(fc81_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_finset_1(k13_finseq_1(A))) ) ) ).
fof(fc82_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k13_finseq_1(A))) ) ) ).
fof(fc85_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v4_relat_1(k13_fomodel0(A, B), k2_xboole_0(A, k9_xtuple_0(B)))) ) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc89_fomodel0, axiom, v1_xboole_0(k4_xboole_0(k4_ordinal1, k4_numbers))).
fof(fc89_valued_0, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc8_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k3_xcmplx_0(A, B))) ) ) ).
fof(fc8_card_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc8_finseq_1, axiom,  (! [A, B] :  (v1_relat_1(k10_finseq_1(A, B)) & v1_funct_1(k10_finseq_1(A, B))) ) ).
fof(fc8_finseq_4, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, k13_finseq_1(A)) & v7_ordinal1(C))  =>  (v1_relat_1(k7_partfun1(k13_finseq_1(A), B, C)) &  (v5_relat_1(k7_partfun1(k13_finseq_1(A), B, C), A) &  (v1_funct_1(k7_partfun1(k13_finseq_1(A), B, C)) & v1_finseq_1(k7_partfun1(k13_finseq_1(A), B, C))) ) ) ) ) ).
fof(fc8_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funct_1(k5_relat_1(A, B))) ) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_membered, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_membered(k1_tarski(A))) ) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_pre_poly, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  => v1_finseq_1(k1_funct_1(A, B))) ) ).
fof(fc8_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
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_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  &  (v1_relat_1(B) & v2_valued_0(B)) )  => v2_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc8_vectsp_1, axiom,  ( ~ (v6_struct_0(k2_vectsp_1))  &  (v13_algstr_0(k2_vectsp_1) &  (v33_algstr_0(k2_vectsp_1) &  (v36_algstr_0(k2_vectsp_1) &  (v2_rlvect_1(k2_vectsp_1) &  (v3_rlvect_1(k2_vectsp_1) &  (v4_rlvect_1(k2_vectsp_1) &  (v3_group_1(k2_vectsp_1) &  (v5_group_1(k2_vectsp_1) &  (v3_vectsp_1(k2_vectsp_1) &  (v5_vectsp_1(k2_vectsp_1) & v6_vectsp_1(k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_xcmplx_0, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  &  ( ~ (v8_ordinal1(B))  & v1_xcmplx_0(B)) )  =>  ~ (v8_ordinal1(k3_xcmplx_0(A, B))) ) ) ).
fof(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc91_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v8_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k13_fomodel0(B, C)) &  (v4_relat_1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B))) & v1_partfun1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(fc9_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  &  (v1_int_1(B) & v1_abian(B)) )  => v1_abian(k2_xcmplx_0(A, B))) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_finseq_1, axiom,  (! [A, B, C] :  (v1_relat_1(k11_finseq_1(A, B, C)) & v1_funct_1(k11_finseq_1(A, B, C))) ) ).
fof(fc9_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc9_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & v1_xboole_0(C)) )  => v2_fomodel0(k3_xboole_0(C, B), A, B)) ) ).
fof(fc9_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc9_hilb10_7, axiom,  (! [A] : v1_hilb10_7(k10_finseq_1(A, A))) ).
fof(fc9_membered, axiom,  (! [A] :  (v1_xreal_0(A) => v3_membered(k1_tarski(A))) ) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k10_xtuple_0(A))) ) ) ).
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_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  &  (v1_relat_1(B) & v3_valued_0(B)) )  => v3_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fraenkel_a_1_0_finseq_1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_finseq_1(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(free_g6_algstr_0, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) )  =>  (! [F, G, H, I, J] :  (g6_algstr_0(A, B, C, D, E)=g6_algstr_0(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(idempotence_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, A)=A) ).
fof(idempotence_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, A)=A) ) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(idempotence_k3_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k3_xxreal_0(A, A)=A) ) ).
fof(idempotence_k4_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k4_xxreal_0(A, A)=A) ) ).
fof(idempotence_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, B)=B) ) ).
fof(ie10_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k2_xboole_0(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie11_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k13_fomodel0(B, A)=k2_xboole_0(A, B)) ) ).
fof(ie13_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k7_finseq_1(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie14_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k13_fomodel0(B, A)=k7_finseq_1(A, B)) ) ).
fof(ie15_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k7_finseq_1(B, A)=k13_fomodel0(B, A)) ) ).
fof(ie16_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k13_fomodel0(B, A)=k7_finseq_1(B, A)) ) ).
fof(ie17_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=k13_fomodel0(A, B)) ) ).
fof(ie18_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k13_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie19_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k1_funct_4(B, C)=k13_fomodel0(B, C)) ) ).
fof(ie1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_card_1(A)=k9_xtuple_0(A)) ) ).
fof(ie1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k3_finseq_2(A)=k1_tarski(A)) ) ).
fof(ie1_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) ) )  => k7_partfun1(B, C, D)=k3_funct_2(A, B, C, D)) ) ).
fof(ie1_rvsum_4, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k3_xxreal_0(B, A)=k3_xboole_0(A, B)) ) ).
fof(ie20_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k13_fomodel0(B, C)=k1_funct_4(B, C)) ) ).
fof(ie21_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k1_funct_4(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie22_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k13_fomodel0(B, A)=k1_funct_4(A, B)) ) ).
fof(ie23_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k1_funct_4(B, A)=k13_fomodel0(B, A)) ) ).
fof(ie24_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k13_fomodel0(B, A)=k1_funct_4(B, A)) ) ).
fof(ie25_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k24_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie26_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k24_fomodel0(A, B)) ) ).
fof(ie27_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k25_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie28_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k25_fomodel0(A, B)) ) ).
fof(ie29_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => k26_fomodel0(A, B)=k27_fomodel0(A, B)) ) ).
fof(ie2_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k9_xtuple_0(A)=k1_card_1(A)) ) ).
fof(ie2_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k1_tarski(A)=k3_finseq_2(A)) ) ).
fof(ie2_rvsum_4, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k3_xboole_0(A, B)=k3_xxreal_0(B, A)) ) ).
fof(ie30_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => k27_fomodel0(A, B)=k28_fomodel0(A, B)) ) ).
fof(ie31_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, B)=k26_fomodel0(A, B)) ) ).
fof(ie32_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k26_fomodel0(A, B)=k1_funct_4(A, B)) ) ).
fof(ie3_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k12_fomodel0(B, A)) ).
fof(ie3_rvsum_4, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k2_xboole_0(A, B)=k4_xxreal_0(B, A)) ) ).
fof(ie4_fomodel0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k12_fomodel0(A, B)) ).
fof(ie5_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k9_subset_1(A, A, B)=k13_fomodel0(A, B)) ) ).
fof(ie6_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k13_fomodel0(A, B)=k9_subset_1(A, A, B)) ) ).
fof(ie8_fomodel0, axiom,  (! [A, B] : k15_fomodel0(A, B)=k13_fomodel0(B, A)) ).
fof(ie9_fomodel0, axiom,  (! [A, B] : k13_fomodel0(B, A)=k15_fomodel0(A, B)) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(l86_polynom9, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k10_afinsq_1(k17_afinsq_1(A, B, C, D))=k7_finseq_4(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k3_finseq_1(A))=k3_finseq_1(A)) ) ).
fof(rc10_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) & v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_fomodel0, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_zfmisc_1(A) &  (v5_finset_1(A) & v4_finseq_1(A)) ) ) ) ) ).
fof(rc10_newton03, axiom,  (? [A] :  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_fomodel0, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_setfam_1(B)) ) ) ) ) ).
fof(rc11_newton03, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_abian(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc11_vectsp_1, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  & v4_vectsp_1(A)) ) ) ).
fof(rc12_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc12_pre_poly, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v6_valued_0(A) & v2_pre_poly(A)) ) ) ) ) ).
fof(rc13_fomodel0, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xcmplx_0(A)) ) ) ) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc13_pre_poly, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k4_ordinal1) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v5_valued_0(B) &  (v6_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc14_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_partit_2(A)) ) ) ) ).
fof(rc14_pre_poly, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v6_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ).
fof(rc15_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc15_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v4_fomodel0(A)) ) ) ) ).
fof(rc15_pre_poly, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v5_valued_0(B) &  (v6_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc16_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v6_valued_0(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc16_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc17_struct_0, axiom,  (! [A] :  (l2_struct_0(A) =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v9_struct_0(B, A)) ) ) ) ).
fof(rc18_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v3_relat_2(A) & v2_abian(A)) ) ) ) ) ).
fof(rc19_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(rc19_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  ~ (v9_struct_0(B, A)) ) ) ) ) ).
fof(rc1_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) & v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(rc1_finseq_2, axiom,  (! [A] :  (? [B] :  (m1_finseq_2(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_fomodel0, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_zfmisc_1(A, A)) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & v2_binop_1(B, 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_hilb10_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v5_ordinal1(C) &  (v1_finset_1(C) &  (v3_card_1(C, B) &  (v2_pre_poly(C) & v1_afinsq_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_hilb10_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, k3_finseq_2(A)) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k3_finseq_2(A)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v1_funcop_1(B) &  (v2_funcop_1(B) &  (v1_pre_poly(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_newton03, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ( ~ (v1_abian(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_newton04, axiom,  (? [A] :  (v1_xcmplx_0(A) & v1_xreal_0(A)) ) ).
fof(rc1_niven, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k2_vectsp_1)) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) & v1_int_1(A)) ) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ).
fof(rc1_polynom2, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v4_vectsp_1(A) & v5_vectsp_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(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_rvsum_4, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v3_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) & v1_valued_0(A)) ) ) ) ) ) ) ) ) ) ).
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_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc20_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) & v5_fomodel0(A)) ) ) ) ).
fof(rc20_struct_0, axiom,  (? [A] :  (l2_struct_0(A) &  ( ~ (v2_struct_0(A))  & v7_struct_0(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(rc23_struct_0, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (l1_struct_0(B) & v13_struct_0(B, A)) ) ) ) ).
fof(rc2_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finset_1(B)) ) ) ) ) ) ) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_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_hilb10_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v3_valued_0(B) &  (v2_pre_poly(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_newton03, axiom,  (? [A] :  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_abian(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_newton04, axiom,  (? [A] :  (v1_xcmplx_0(A) &  ~ (v1_xreal_0(A)) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(rc2_polynom1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_rvsum_4, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v3_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_valued_0(A) &  (v5_valued_0(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(rc2_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_vectsp_1, axiom,  (? [A] :  (l5_algstr_0(A) &  ( ~ (v2_struct_0(A))  & v4_vectsp_1(A)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_abian, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_rat_1(A) & v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_afinsq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ) ).
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_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (? [C] : v2_fomodel0(C, A, 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_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_hilb10_2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k15_pre_poly(A)) &  (v5_relat_1(B, k4_numbers) &  (v5_relat_1(B, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k15_pre_poly(A)) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) &  (v1_valued_0(B) &  (v2_valued_0(B) & v3_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_newton03, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  ~ (v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_newton04, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_xboole_0(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_niven, axiom,  (? [A] :  (m1_finseq_1(A, u1_struct_0(k2_vectsp_1)) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v5_relat_1(A, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v2_pre_poly(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(rc3_polynom1, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l2_struct_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, k15_pre_poly(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_partfun1(C, k15_pre_poly(A)) &  (v1_funct_2(C, k15_pre_poly(A), u1_struct_0(B)) & v1_polynom1(C, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rc3_rvsum_4, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k2_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v3_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k2_numbers) &  (v1_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_valued_0, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v5_valued_0(A) &  (v6_valued_0(A) & v7_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ) ) ) ).
fof(rc3_vectsp_1, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ).
fof(rc3_xcmplx_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xcmplx_0(A)) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_abian, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_rat_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(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_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : v3_fomodel0(B, 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_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc4_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A), u1_struct_0(k2_vectsp_1)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k15_pre_poly(A)) &  (v5_relat_1(B, k4_numbers) &  (v5_relat_1(B, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k15_pre_poly(A)) &  (v1_funct_2(B, k15_pre_poly(A), u1_struct_0(k2_vectsp_1)) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_polynom1(B, k2_vectsp_1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) ) ) ) ).
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(rc4_valued_0, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, k4_ordinal1, A)) ) ) ) ) ) ) ) ).
fof(rc4_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_card_1(A, 1)) ) ) ) ) ).
fof(rc4_vectsp_1, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) & v5_group_1(A)) ) ) ) ) ).
fof(rc4_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) & v1_abian(A)) ) ) ) ) ).
fof(rc5_afinsq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_funcop_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_hilb10_2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1)))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, u1_struct_0(k2_vectsp_1)) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v6_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_rvsum_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, k4_ordinal1) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_afinsq_1(B) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v5_valued_0(B) & v6_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) & v1_funct_2(B, k4_ordinal1, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_valued_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v5_valued_0(B) & v6_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_vectsp_1, axiom,  (? [A] :  (l6_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v6_struct_0(A))  &  (v13_algstr_0(A) &  (v33_algstr_0(A) &  (v36_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v3_vectsp_1(A) &  (v4_vectsp_1(A) &  (v5_vectsp_1(A) & v6_vectsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(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_hilb10_2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1)))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_numbers) &  (v5_relat_1(B, u1_struct_0(k2_vectsp_1)) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, u1_struct_0(k2_vectsp_1)) &  (v1_valued_0(B) &  (v2_valued_0(B) & v3_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_newton03, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ~ (v1_pythtrip(A)) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_rvsum_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_valued_0(B)) ) ) ) ) ) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(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_newton03, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc7_pboole, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) ) ) ) ) ).
fof(rc7_pre_poly, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) ) ) ).
fof(rc7_rvsum_4, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers))) &  (v1_relat_1(A) &  (v3_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k1_numbers) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_abian, axiom,  (! [A, B] :  ( ~ (v2_setfam_1(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
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_newton03, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc8_pre_poly, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ) ).
fof(rc8_rvsum_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ).
fof(rc9_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(rc9_funct_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) ) ) ) ).
fof(rc9_newton03, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  ( ~ (v1_zfmisc_1(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  & v1_pythtrip(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd10_afinsq_1, axiom,  (! [A, B, C, D] : k1_funct_1(k17_afinsq_1(A, B, C, D), 1)=B) ).
fof(rd11_afinsq_1, axiom,  (! [A, B, C, D] : k1_funct_1(k17_afinsq_1(A, B, C, D), 2)=C) ).
fof(rd12_afinsq_1, axiom,  (! [A, B, C, D] : k1_funct_1(k17_afinsq_1(A, B, C, D), 3)=D) ).
fof(rd13_rvsum_4, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) )  => k5_relat_1(B, A)=B) ) ).
fof(rd14_rvsum_4, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v5_ordinal1(C) &  (v1_funct_1(C) &  (v1_finset_1(C) & v3_card_1(C, A)) ) ) ) ) )  => k5_relat_1(C, k2_xcmplx_0(A, B))=C) ) ).
fof(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(rd1_finseq_1, axiom,  (! [A] : k1_funct_1(k9_finseq_1(A), 1)=A) ).
fof(rd1_finseq_4, axiom,  (! [A, B, C, D] : k1_funct_1(k7_finseq_4(A, B, C, D), 1)=A) ).
fof(rd1_fomodel0, axiom,  (! [A, B] : k13_fomodel0(B, A)=A) ).
fof(rd1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k10_subset_1(A, k4_ordinal1)=A) ) ).
fof(rd1_square_1, axiom, k3_square_1(k5_numbers)=k5_numbers).
fof(rd1_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k10_subset_1(B, A)=B) ) ).
fof(rd1_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k10_subset_1(A, k2_numbers)=A) ) ).
fof(rd1_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => k10_subset_1(A, k1_numbers)=A) ) ).
fof(rd1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) => k10_subset_1(A, k6_numbers)=A) ) ).
fof(rd2_finseq_1, axiom,  (! [A, B] : k1_funct_1(k10_finseq_1(A, B), 1)=A) ).
fof(rd2_finseq_4, axiom,  (! [A, B, C, D] : k1_funct_1(k7_finseq_4(A, B, C, D), 2)=B) ).
fof(rd2_newton04, axiom,  (! [A] :  (v1_xreal_0(A) => k3_complex1(A)=A) ) ).
fof(rd2_rvsum_4, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) ) )  => k3_xxreal_0(k2_xcmplx_0(A, B), A)=A) ) ).
fof(rd2_square_1, axiom, k3_square_1(1)=1).
fof(rd2_subset_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => k10_subset_1(k4_tarski(C, D), k2_zfmisc_1(A, B))=k4_tarski(C, D)) ) ).
fof(rd2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k2_numbers, k2_numbers))=k4_tarski(A, B)) ) ).
fof(rd2_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k6_numbers, k6_numbers))=k4_tarski(A, B)) ) ).
fof(rd30_rvsum_4, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) & v1_valued_0(B)) ) ) ) )  &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v5_ordinal1(D) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v3_card_1(D, k2_xcmplx_0(A, C)) & v1_valued_0(D)) ) ) ) ) ) ) )  => k9_subset_1(k4_ordinal1, k1_relset_1(k4_ordinal1, B), k1_relset_1(k4_ordinal1, D))=k1_relset_1(k4_ordinal1, B)) ) ).
fof(rd32_newton04, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => k4_xxreal_0(k3_xxreal_0(A, B), k4_xxreal_0(A, B))=k4_xxreal_0(A, B)) ) ).
fof(rd33_newton04, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => k3_xxreal_0(k3_xxreal_0(A, B), k4_xxreal_0(A, B))=k3_xxreal_0(A, B)) ) ).
fof(rd34_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) ) ) )  => k3_xxreal_0(k3_xxreal_0(A, B), k2_xcmplx_0(B, C))=k3_xxreal_0(A, B)) ) ).
fof(rd35_newton04, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) &  ~ (v3_xxreal_0(C)) ) ) )  => k4_xxreal_0(k4_xxreal_0(A, B), k6_xcmplx_0(B, C))=k4_xxreal_0(A, B)) ) ).
fof(rd3_finseq_1, axiom,  (! [A, B] : k1_funct_1(k10_finseq_1(A, B), 2)=B) ).
fof(rd3_finseq_4, axiom,  (! [A, B, C, D] : k1_funct_1(k7_finseq_4(A, B, C, D), 3)=C) ).
fof(rd3_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_xtuple_0(k2_zfmisc_1(A, B))=A) ) ).
fof(rd3_newton04, axiom,  (! [A] : k3_xcmplx_0(1, k3_finseq_1(k9_finseq_1(A)))=1) ).
fof(rd3_rvsum_4, axiom,  (! [A, B] :  ( ( (v1_xreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  (v1_xreal_0(B) &  ~ (v3_xxreal_0(B)) ) )  => k4_xxreal_0(k2_xcmplx_0(A, B), A)=k2_xcmplx_0(A, B)) ) ).
fof(rd4_finseq_1, axiom,  (! [A, B, C] : k1_funct_1(k11_finseq_1(A, B, C), 1)=A) ).
fof(rd4_finseq_4, axiom,  (! [A, B, C, D] : k1_funct_1(k7_finseq_4(A, B, C, D), 4)=D) ).
fof(rd4_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k10_xtuple_0(k2_zfmisc_1(B, A))=A) ) ).
fof(rd4_newton04, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_funct_1(k7_finseq_1(k9_finseq_1(A), B), 1)=A) ) ).
fof(rd4_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k5_relat_1(A, k9_xtuple_0(A))=A) ) ).
fof(rd5_finseq_1, axiom,  (! [A, B, C] : k1_funct_1(k11_finseq_1(A, B, C), 2)=B) ).
fof(rd5_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=A) ) ).
fof(rd5_newton04, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_funct_1(k7_finseq_1(B, k9_finseq_1(A)), k2_xcmplx_0(1, k3_finseq_1(B)))=A) ) ).
fof(rd5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => k5_relat_1(k5_relat_1(A, B), B)=k5_relat_1(A, B)) ) ).
fof(rd6_finseq_1, axiom,  (! [A, B, C] : k1_funct_1(k11_finseq_1(A, B, C), 3)=C) ).
fof(rd6_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A))))  => k1_relset_1(B, k5_relat_1(A, B))=B) ) ).
fof(rd6_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k4_numbers, k4_numbers))=k4_tarski(A, B)) ) ).
fof(rd6_rvsum_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_card_1(A, 1) & v1_finseq_1(A)) ) )  => k9_finseq_1(k1_funct_1(A, 1))=A) ) ).
fof(rd7_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_partit_2(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => k1_funct_1(A, k1_funct_1(A, B))=B) ) ).
fof(rd7_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => k5_relat_1(k7_finseq_1(A, B), k4_finseq_1(A))=A) ) ).
fof(rd7_rvsum_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_card_1(A, 2) & v1_finseq_1(A)) ) )  => k10_finseq_1(k1_funct_1(A, 1), k1_funct_1(A, 2))=A) ) ).
fof(rd8_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=B) ) ).
fof(rd8_rvsum_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_card_1(A, 3) & v1_finseq_1(A)) ) )  => k11_finseq_1(k1_funct_1(A, 1), k1_funct_1(A, 2), k1_funct_1(A, 3))=A) ) ).
fof(rd9_afinsq_1, axiom,  (! [A, B, C, D] : k1_funct_1(k17_afinsq_1(A, B, C, D), k5_numbers)=A) ).
fof(rd9_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k1_funct_1(A, k5_numbers)=k5_numbers) ) ).
fof(redefinition_k11_afinsq_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  => k11_afinsq_1(A, B)=k10_afinsq_1(B)) ) ).
fof(redefinition_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k12_finseq_1(A, B)=k5_finseq_1(B)) ) ).
fof(redefinition_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k3_xboole_0(A, B)) ).
fof(redefinition_k15_pre_poly, axiom,  (! [A] : k15_pre_poly(A)=k14_pre_poly(A)) ).
fof(redefinition_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k1_relset_1(A, B)=k9_xtuple_0(B)) ) ).
fof(redefinition_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_finseq_1(A)=k1_finseq_1(A)) ) ).
fof(redefinition_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k3_xcmplx_0(A, B)) ) ).
fof(redefinition_k3_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_complex1(A)=k1_complex1(A)) ) ).
fof(redefinition_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k3_finseq_2, axiom,  (! [A] : k3_finseq_2(A)=k13_finseq_1(A)) ).
fof(redefinition_k3_finseq_4, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) & m1_subset_1(D, A)) ) )  => k3_finseq_4(A, B, C, D)=k11_finseq_1(B, C, D)) ) ).
fof(redefinition_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => k3_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(redefinition_k3_pre_poly, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k3_pre_poly(A, B)=k5_finseq_1(B)) ) ).
fof(redefinition_k4_binop_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  => k4_binop_1(A, B, C, D)=k1_binop_1(B, C, D)) ) ).
fof(redefinition_k4_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_complex1(A)=k2_complex1(A)) ) ).
fof(redefinition_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k4_finseq_1(A)=k9_xtuple_0(A)) ) ).
fof(redefinition_k5_complex1, axiom, k5_complex1=k5_ordinal1).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k6_domain_1(A, B)=k1_tarski(B)) ) ).
fof(redefinition_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_subset_1(A, B, C)=k4_xboole_0(B, C)) ) ).
fof(redefinition_k8_finseq_1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => k8_finseq_1(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(redefinition_k9_finseq_1, axiom,  (! [A] : k9_finseq_1(A)=k5_finseq_1(A)) ).
fof(redefinition_k9_finseq_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) & m1_subset_1(E, A)) ) ) )  => k9_finseq_4(A, B, C, D, E)=k7_finseq_4(B, C, D, E)) ) ).
fof(redefinition_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(redefinition_m2_finseq_2, axiom,  (! [A, B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_2(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(redefinition_r1_funct_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) )  =>  (r1_funct_2(A, B, C, D, E, F) <=> E=F) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_funct_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) )  => r1_funct_2(A, B, C, D, E, E)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r12, axiom, r1_xxreal_0(0, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r13, axiom, r1_xxreal_0(0, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r14, axiom, r1_xxreal_0(0, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r15, axiom, r1_xxreal_0(0, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r16, axiom, r1_xxreal_0(0, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r4, axiom, r1_xxreal_0(0, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r8, axiom, r1_xxreal_0(0, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm15, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm3, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm4, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm5, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm8, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r0, axiom,  ~ (r1_xxreal_0(12, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r1, axiom,  ~ (r1_xxreal_0(12, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r12, axiom, r1_xxreal_0(12, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r13, axiom, r1_xxreal_0(12, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r14, axiom, r1_xxreal_0(12, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r15, axiom, r1_xxreal_0(12, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r16, axiom, r1_xxreal_0(12, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r2, axiom,  ~ (r1_xxreal_0(12, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r3, axiom,  ~ (r1_xxreal_0(12, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r4, axiom,  ~ (r1_xxreal_0(12, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r5, axiom,  ~ (r1_xxreal_0(12, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r8, axiom,  ~ (r1_xxreal_0(12, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm1, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm15, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm3, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm5, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r0, axiom,  ~ (r1_xxreal_0(13, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r1, axiom,  ~ (r1_xxreal_0(13, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r12, axiom,  ~ (r1_xxreal_0(13, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r13, axiom, r1_xxreal_0(13, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r14, axiom, r1_xxreal_0(13, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r15, axiom, r1_xxreal_0(13, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r16, axiom, r1_xxreal_0(13, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r2, axiom,  ~ (r1_xxreal_0(13, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r3, axiom,  ~ (r1_xxreal_0(13, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r4, axiom,  ~ (r1_xxreal_0(13, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r5, axiom,  ~ (r1_xxreal_0(13, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r8, axiom,  ~ (r1_xxreal_0(13, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_rm1, axiom,  ~ (r1_xxreal_0(13, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_rm2, axiom,  ~ (r1_xxreal_0(13, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r0, axiom,  ~ (r1_xxreal_0(14, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r1, axiom,  ~ (r1_xxreal_0(14, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r12, axiom,  ~ (r1_xxreal_0(14, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r13, axiom,  ~ (r1_xxreal_0(14, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r14, axiom, r1_xxreal_0(14, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r15, axiom, r1_xxreal_0(14, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r16, axiom, r1_xxreal_0(14, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r2, axiom,  ~ (r1_xxreal_0(14, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r3, axiom,  ~ (r1_xxreal_0(14, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r4, axiom,  ~ (r1_xxreal_0(14, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r5, axiom,  ~ (r1_xxreal_0(14, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r8, axiom,  ~ (r1_xxreal_0(14, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_rm1, axiom,  ~ (r1_xxreal_0(14, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_rm3, axiom,  ~ (r1_xxreal_0(14, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r0, axiom,  ~ (r1_xxreal_0(15, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r1, axiom,  ~ (r1_xxreal_0(15, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r12, axiom,  ~ (r1_xxreal_0(15, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r13, axiom,  ~ (r1_xxreal_0(15, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r14, axiom,  ~ (r1_xxreal_0(15, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r15, axiom, r1_xxreal_0(15, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r15_r16, axiom, r1_xxreal_0(15, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r15_r2, axiom,  ~ (r1_xxreal_0(15, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r3, axiom,  ~ (r1_xxreal_0(15, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r4, axiom,  ~ (r1_xxreal_0(15, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r5, axiom,  ~ (r1_xxreal_0(15, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r8, axiom,  ~ (r1_xxreal_0(15, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm1, axiom,  ~ (r1_xxreal_0(15, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm15, axiom,  ~ (r1_xxreal_0(15, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm3, axiom,  ~ (r1_xxreal_0(15, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm5, axiom,  ~ (r1_xxreal_0(15, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r0, axiom,  ~ (r1_xxreal_0(16, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r1, axiom,  ~ (r1_xxreal_0(16, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r12, axiom,  ~ (r1_xxreal_0(16, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r13, axiom,  ~ (r1_xxreal_0(16, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r14, axiom,  ~ (r1_xxreal_0(16, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r15, axiom,  ~ (r1_xxreal_0(16, 15)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r16, axiom, r1_xxreal_0(16, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r2, axiom,  ~ (r1_xxreal_0(16, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r3, axiom,  ~ (r1_xxreal_0(16, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r4, axiom,  ~ (r1_xxreal_0(16, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r5, axiom,  ~ (r1_xxreal_0(16, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r8, axiom,  ~ (r1_xxreal_0(16, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_rm1, axiom,  ~ (r1_xxreal_0(16, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_rm4, axiom,  ~ (r1_xxreal_0(16, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r12, axiom, r1_xxreal_0(1, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r13, axiom, r1_xxreal_0(1, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r14, axiom, r1_xxreal_0(1, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r15, axiom, r1_xxreal_0(1, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r16, axiom, r1_xxreal_0(1, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r8, axiom, r1_xxreal_0(1, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm15, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm3, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm4, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm5, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm8, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r12, axiom, r1_xxreal_0(2, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r13, axiom, r1_xxreal_0(2, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r14, axiom, r1_xxreal_0(2, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r15, axiom, r1_xxreal_0(2, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r16, axiom, r1_xxreal_0(2, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r4, axiom, r1_xxreal_0(2, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r8, axiom, r1_xxreal_0(2, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm4, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm5, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm8, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ (r1_xxreal_0(3, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r12, axiom, r1_xxreal_0(3, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r13, axiom, r1_xxreal_0(3, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r14, axiom, r1_xxreal_0(3, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r15, axiom, r1_xxreal_0(3, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r16, axiom, r1_xxreal_0(3, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom, r1_xxreal_0(3, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r8, axiom, r1_xxreal_0(3, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm15, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm2, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm3, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm4, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm5, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm8, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r0, axiom,  ~ (r1_xxreal_0(4, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ (r1_xxreal_0(4, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r12, axiom, r1_xxreal_0(4, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r13, axiom, r1_xxreal_0(4, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r14, axiom, r1_xxreal_0(4, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r15, axiom, r1_xxreal_0(4, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r16, axiom, r1_xxreal_0(4, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r2, axiom,  ~ (r1_xxreal_0(4, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ (r1_xxreal_0(4, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(4, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r5, axiom, r1_xxreal_0(4, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r8, axiom, r1_xxreal_0(4, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm1, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm2, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm3, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm4, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm5, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm8, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r0, axiom,  ~ (r1_xxreal_0(5, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r12, axiom, r1_xxreal_0(5, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r13, axiom, r1_xxreal_0(5, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r14, axiom, r1_xxreal_0(5, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r15, axiom, r1_xxreal_0(5, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r16, axiom, r1_xxreal_0(5, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r4, axiom,  ~ (r1_xxreal_0(5, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r8, axiom, r1_xxreal_0(5, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm1, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm15, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm2, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm3, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm4, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm5, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm8, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r0, axiom,  ~ (r1_xxreal_0(8, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r1, axiom,  ~ (r1_xxreal_0(8, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r12, axiom, r1_xxreal_0(8, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r13, axiom, r1_xxreal_0(8, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r14, axiom, r1_xxreal_0(8, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r15, axiom, r1_xxreal_0(8, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r16, axiom, r1_xxreal_0(8, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r2, axiom,  ~ (r1_xxreal_0(8, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r3, axiom,  ~ (r1_xxreal_0(8, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r4, axiom,  ~ (r1_xxreal_0(8, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r5, axiom,  ~ (r1_xxreal_0(8, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r8, axiom, r1_xxreal_0(8, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm1, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm2, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm4, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm5, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm8, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r12, axiom, r1_xxreal_0(k4_xcmplx_0(12), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r2, axiom, r1_xxreal_0(k4_xcmplx_0(12), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r3, axiom, r1_xxreal_0(k4_xcmplx_0(12), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r4, axiom, r1_xxreal_0(k4_xcmplx_0(12), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r8, axiom, r1_xxreal_0(k4_xcmplx_0(12), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm12, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(12))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm8, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(8))).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r0, axiom, r1_xxreal_0(k4_xcmplx_0(15), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r1, axiom, r1_xxreal_0(k4_xcmplx_0(15), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r12, axiom, r1_xxreal_0(k4_xcmplx_0(15), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r15, axiom, r1_xxreal_0(k4_xcmplx_0(15), 15)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r3, axiom, r1_xxreal_0(k4_xcmplx_0(15), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r5, axiom, r1_xxreal_0(k4_xcmplx_0(15), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_rm15, axiom, r1_xxreal_0(k4_xcmplx_0(15), k4_xcmplx_0(15))).
fof(rqLessOrEqual__r1_xxreal_0__rm15_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(15), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm15_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(15), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(1), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(1), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r12, axiom, r1_xxreal_0(k4_xcmplx_0(1), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r13, axiom, r1_xxreal_0(k4_xcmplx_0(1), 13)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r14, axiom, r1_xxreal_0(k4_xcmplx_0(1), 14)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r15, axiom, r1_xxreal_0(k4_xcmplx_0(1), 15)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r16, axiom, r1_xxreal_0(k4_xcmplx_0(1), 16)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(1), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r3, axiom, r1_xxreal_0(k4_xcmplx_0(1), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r4, axiom, r1_xxreal_0(k4_xcmplx_0(1), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r5, axiom, r1_xxreal_0(k4_xcmplx_0(1), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r8, axiom, r1_xxreal_0(k4_xcmplx_0(1), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm4, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm5, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom, r1_xxreal_0(k4_xcmplx_0(2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r13, axiom, r1_xxreal_0(k4_xcmplx_0(2), 13)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r16, axiom, r1_xxreal_0(k4_xcmplx_0(2), 16)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r3, axiom, r1_xxreal_0(k4_xcmplx_0(2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r4, axiom, r1_xxreal_0(k4_xcmplx_0(2), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r5, axiom, r1_xxreal_0(k4_xcmplx_0(2), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r8, axiom, r1_xxreal_0(k4_xcmplx_0(2), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom, r1_xxreal_0(k4_xcmplx_0(3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom, r1_xxreal_0(k4_xcmplx_0(3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r12, axiom, r1_xxreal_0(k4_xcmplx_0(3), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r14, axiom, r1_xxreal_0(k4_xcmplx_0(3), 14)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r15, axiom, r1_xxreal_0(k4_xcmplx_0(3), 15)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r2, axiom, r1_xxreal_0(k4_xcmplx_0(3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r3, axiom, r1_xxreal_0(k4_xcmplx_0(3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r4, axiom, r1_xxreal_0(k4_xcmplx_0(3), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm15, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r0, axiom, r1_xxreal_0(k4_xcmplx_0(4), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r1, axiom, r1_xxreal_0(k4_xcmplx_0(4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r12, axiom, r1_xxreal_0(k4_xcmplx_0(4), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r16, axiom, r1_xxreal_0(k4_xcmplx_0(4), 16)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r2, axiom, r1_xxreal_0(k4_xcmplx_0(4), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r3, axiom, r1_xxreal_0(k4_xcmplx_0(4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r4, axiom, r1_xxreal_0(k4_xcmplx_0(4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r5, axiom, r1_xxreal_0(k4_xcmplx_0(4), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r8, axiom, r1_xxreal_0(k4_xcmplx_0(4), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r0, axiom, r1_xxreal_0(k4_xcmplx_0(5), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r1, axiom, r1_xxreal_0(k4_xcmplx_0(5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r12, axiom, r1_xxreal_0(k4_xcmplx_0(5), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r15, axiom, r1_xxreal_0(k4_xcmplx_0(5), 15)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r2, axiom, r1_xxreal_0(k4_xcmplx_0(5), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r3, axiom, r1_xxreal_0(k4_xcmplx_0(5), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r4, axiom, r1_xxreal_0(k4_xcmplx_0(5), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r5, axiom, r1_xxreal_0(k4_xcmplx_0(5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r8, axiom, r1_xxreal_0(k4_xcmplx_0(5), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm12, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(12))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm15, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm8, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r0, axiom, r1_xxreal_0(k4_xcmplx_0(8), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r1, axiom, r1_xxreal_0(k4_xcmplx_0(8), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r12, axiom, r1_xxreal_0(k4_xcmplx_0(8), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r2, axiom, r1_xxreal_0(k4_xcmplx_0(8), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r3, axiom, r1_xxreal_0(k4_xcmplx_0(8), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r4, axiom, r1_xxreal_0(k4_xcmplx_0(8), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r5, axiom, r1_xxreal_0(k4_xcmplx_0(8), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r8, axiom, r1_xxreal_0(k4_xcmplx_0(8), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm8, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(8))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r12_r12, axiom, k2_xcmplx_0(0, 12)=12).
fof(rqRealAdd__k2_xcmplx_0__r0_r13_r13, axiom, k2_xcmplx_0(0, 13)=13).
fof(rqRealAdd__k2_xcmplx_0__r0_r14_r14, axiom, k2_xcmplx_0(0, 14)=14).
fof(rqRealAdd__k2_xcmplx_0__r0_r15_r15, axiom, k2_xcmplx_0(0, 15)=15).
fof(rqRealAdd__k2_xcmplx_0__r0_r16_r16, axiom, k2_xcmplx_0(0, 16)=16).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom, k2_xcmplx_0(0, 3)=3).
fof(rqRealAdd__k2_xcmplx_0__r0_r4_r4, axiom, k2_xcmplx_0(0, 4)=4).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom, k2_xcmplx_0(0, 5)=5).
fof(rqRealAdd__k2_xcmplx_0__r0_r8_r8, axiom, k2_xcmplx_0(0, 8)=8).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom, k2_xcmplx_0(0, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm4_rm4, axiom, k2_xcmplx_0(0, k4_xcmplx_0(4))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm8_rm8, axiom, k2_xcmplx_0(0, k4_xcmplx_0(8))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r12_r0_r12, axiom, k2_xcmplx_0(12, 0)=12).
fof(rqRealAdd__k2_xcmplx_0__r12_r1_r13, axiom, k2_xcmplx_0(12, 1)=13).
fof(rqRealAdd__k2_xcmplx_0__r12_r2_r14, axiom, k2_xcmplx_0(12, 2)=14).
fof(rqRealAdd__k2_xcmplx_0__r12_r3_r15, axiom, k2_xcmplx_0(12, 3)=15).
fof(rqRealAdd__k2_xcmplx_0__r12_r4_r16, axiom, k2_xcmplx_0(12, 4)=16).
fof(rqRealAdd__k2_xcmplx_0__r12_rm12_r0, axiom, k2_xcmplx_0(12, k4_xcmplx_0(12))=0).
fof(rqRealAdd__k2_xcmplx_0__r12_rm14_rm2, axiom, k2_xcmplx_0(12, k4_xcmplx_0(14))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r12_rm15_rm3, axiom, k2_xcmplx_0(12, k4_xcmplx_0(15))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r12_rm16_rm4, axiom, k2_xcmplx_0(12, k4_xcmplx_0(16))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r12_rm4_r8, axiom, k2_xcmplx_0(12, k4_xcmplx_0(4))=8).
fof(rqRealAdd__k2_xcmplx_0__r12_rm8_r4, axiom, k2_xcmplx_0(12, k4_xcmplx_0(8))=4).
fof(rqRealAdd__k2_xcmplx_0__r13_r0_r13, axiom, k2_xcmplx_0(13, 0)=13).
fof(rqRealAdd__k2_xcmplx_0__r13_r1_r14, axiom, k2_xcmplx_0(13, 1)=14).
fof(rqRealAdd__k2_xcmplx_0__r13_r2_r15, axiom, k2_xcmplx_0(13, 2)=15).
fof(rqRealAdd__k2_xcmplx_0__r13_r3_r16, axiom, k2_xcmplx_0(13, 3)=16).
fof(rqRealAdd__k2_xcmplx_0__r13_rm12_r1, axiom, k2_xcmplx_0(13, k4_xcmplx_0(12))=1).
fof(rqRealAdd__k2_xcmplx_0__r13_rm13_r0, axiom, k2_xcmplx_0(13, k4_xcmplx_0(13))=0).
fof(rqRealAdd__k2_xcmplx_0__r13_rm15_rm2, axiom, k2_xcmplx_0(13, k4_xcmplx_0(15))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r13_rm16_rm3, axiom, k2_xcmplx_0(13, k4_xcmplx_0(16))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r13_rm1_r12, axiom, k2_xcmplx_0(13, k4_xcmplx_0(1))=12).
fof(rqRealAdd__k2_xcmplx_0__r13_rm5_r8, axiom, k2_xcmplx_0(13, k4_xcmplx_0(5))=8).
fof(rqRealAdd__k2_xcmplx_0__r13_rm8_r5, axiom, k2_xcmplx_0(13, k4_xcmplx_0(8))=5).
fof(rqRealAdd__k2_xcmplx_0__r14_r0_r14, axiom, k2_xcmplx_0(14, 0)=14).
fof(rqRealAdd__k2_xcmplx_0__r14_r1_r15, axiom, k2_xcmplx_0(14, 1)=15).
fof(rqRealAdd__k2_xcmplx_0__r14_r2_r16, axiom, k2_xcmplx_0(14, 2)=16).
fof(rqRealAdd__k2_xcmplx_0__r14_rm12_r2, axiom, k2_xcmplx_0(14, k4_xcmplx_0(12))=2).
fof(rqRealAdd__k2_xcmplx_0__r14_rm13_r1, axiom, k2_xcmplx_0(14, k4_xcmplx_0(13))=1).
fof(rqRealAdd__k2_xcmplx_0__r14_rm14_r0, axiom, k2_xcmplx_0(14, k4_xcmplx_0(14))=0).
fof(rqRealAdd__k2_xcmplx_0__r14_rm16_rm2, axiom, k2_xcmplx_0(14, k4_xcmplx_0(16))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r14_rm1_r13, axiom, k2_xcmplx_0(14, k4_xcmplx_0(1))=13).
fof(rqRealAdd__k2_xcmplx_0__r14_rm2_r12, axiom, k2_xcmplx_0(14, k4_xcmplx_0(2))=12).
fof(rqRealAdd__k2_xcmplx_0__r15_r0_r15, axiom, k2_xcmplx_0(15, 0)=15).
fof(rqRealAdd__k2_xcmplx_0__r15_r1_r16, axiom, k2_xcmplx_0(15, 1)=16).
fof(rqRealAdd__k2_xcmplx_0__r15_rm15_r0, axiom, k2_xcmplx_0(15, k4_xcmplx_0(15))=0).
fof(rqRealAdd__k2_xcmplx_0__r15_rm16_rm1, axiom, k2_xcmplx_0(15, k4_xcmplx_0(16))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r15_rm1_r14, axiom, k2_xcmplx_0(15, k4_xcmplx_0(1))=14).
fof(rqRealAdd__k2_xcmplx_0__r15_rm2_r13, axiom, k2_xcmplx_0(15, k4_xcmplx_0(2))=13).
fof(rqRealAdd__k2_xcmplx_0__r15_rm3_r12, axiom, k2_xcmplx_0(15, k4_xcmplx_0(3))=12).
fof(rqRealAdd__k2_xcmplx_0__r16_r0_r16, axiom, k2_xcmplx_0(16, 0)=16).
fof(rqRealAdd__k2_xcmplx_0__r16_rm12_r4, axiom, k2_xcmplx_0(16, k4_xcmplx_0(12))=4).
fof(rqRealAdd__k2_xcmplx_0__r16_rm14_r2, axiom, k2_xcmplx_0(16, k4_xcmplx_0(14))=2).
fof(rqRealAdd__k2_xcmplx_0__r16_rm15_r1, axiom, k2_xcmplx_0(16, k4_xcmplx_0(15))=1).
fof(rqRealAdd__k2_xcmplx_0__r16_rm16_r0, axiom, k2_xcmplx_0(16, k4_xcmplx_0(16))=0).
fof(rqRealAdd__k2_xcmplx_0__r16_rm1_r15, axiom, k2_xcmplx_0(16, k4_xcmplx_0(1))=15).
fof(rqRealAdd__k2_xcmplx_0__r16_rm2_r14, axiom, k2_xcmplx_0(16, k4_xcmplx_0(2))=14).
fof(rqRealAdd__k2_xcmplx_0__r16_rm3_r13, axiom, k2_xcmplx_0(16, k4_xcmplx_0(3))=13).
fof(rqRealAdd__k2_xcmplx_0__r16_rm4_r12, axiom, k2_xcmplx_0(16, k4_xcmplx_0(4))=12).
fof(rqRealAdd__k2_xcmplx_0__r16_rm8_r8, axiom, k2_xcmplx_0(16, k4_xcmplx_0(8))=8).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r12_r13, axiom, k2_xcmplx_0(1, 12)=13).
fof(rqRealAdd__k2_xcmplx_0__r1_r13_r14, axiom, k2_xcmplx_0(1, 13)=14).
fof(rqRealAdd__k2_xcmplx_0__r1_r14_r15, axiom, k2_xcmplx_0(1, 14)=15).
fof(rqRealAdd__k2_xcmplx_0__r1_r15_r16, axiom, k2_xcmplx_0(1, 15)=16).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r1_r3_r4, axiom, k2_xcmplx_0(1, 3)=4).
fof(rqRealAdd__k2_xcmplx_0__r1_r4_r5, axiom, k2_xcmplx_0(1, 4)=5).
fof(rqRealAdd__k2_xcmplx_0__r1_rm13_rm12, axiom, k2_xcmplx_0(1, k4_xcmplx_0(13))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm14_rm13, axiom, k2_xcmplx_0(1, k4_xcmplx_0(14))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm15_rm14, axiom, k2_xcmplx_0(1, k4_xcmplx_0(15))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm16_rm15, axiom, k2_xcmplx_0(1, k4_xcmplx_0(16))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom, k2_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm4_rm3, axiom, k2_xcmplx_0(1, k4_xcmplx_0(4))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm5_rm4, axiom, k2_xcmplx_0(1, k4_xcmplx_0(5))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r12_r14, axiom, k2_xcmplx_0(2, 12)=14).
fof(rqRealAdd__k2_xcmplx_0__r2_r13_r15, axiom, k2_xcmplx_0(2, 13)=15).
fof(rqRealAdd__k2_xcmplx_0__r2_r14_r16, axiom, k2_xcmplx_0(2, 14)=16).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom, k2_xcmplx_0(2, 3)=5).
fof(rqRealAdd__k2_xcmplx_0__r2_rm14_rm12, axiom, k2_xcmplx_0(2, k4_xcmplx_0(14))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm15_rm13, axiom, k2_xcmplx_0(2, k4_xcmplx_0(15))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm16_rm14, axiom, k2_xcmplx_0(2, k4_xcmplx_0(16))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=0).
fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm4_rm2, axiom, k2_xcmplx_0(2, k4_xcmplx_0(4))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm5_rm3, axiom, k2_xcmplx_0(2, k4_xcmplx_0(5))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r12_r15, axiom, k2_xcmplx_0(3, 12)=15).
fof(rqRealAdd__k2_xcmplx_0__r3_r13_r16, axiom, k2_xcmplx_0(3, 13)=16).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_r5_r8, axiom, k2_xcmplx_0(3, 5)=8).
fof(rqRealAdd__k2_xcmplx_0__r3_rm15_rm12, axiom, k2_xcmplx_0(3, k4_xcmplx_0(15))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm16_rm13, axiom, k2_xcmplx_0(3, k4_xcmplx_0(16))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(1))=2).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(2))=1).
fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom, k2_xcmplx_0(3, k4_xcmplx_0(3))=0).
fof(rqRealAdd__k2_xcmplx_0__r3_rm4_rm1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(4))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm5_rm2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(5))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm8_rm5, axiom, k2_xcmplx_0(3, k4_xcmplx_0(8))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r4_r0_r4, axiom, k2_xcmplx_0(4, 0)=4).
fof(rqRealAdd__k2_xcmplx_0__r4_r12_r16, axiom, k2_xcmplx_0(4, 12)=16).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(4, 1)=5).
fof(rqRealAdd__k2_xcmplx_0__r4_r4_r8, axiom, k2_xcmplx_0(4, 4)=8).
fof(rqRealAdd__k2_xcmplx_0__r4_r8_r12, axiom, k2_xcmplx_0(4, 8)=12).
fof(rqRealAdd__k2_xcmplx_0__r4_rm12_rm8, axiom, k2_xcmplx_0(4, k4_xcmplx_0(12))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm16_rm12, axiom, k2_xcmplx_0(4, k4_xcmplx_0(16))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm1_r3, axiom, k2_xcmplx_0(4, k4_xcmplx_0(1))=3).
fof(rqRealAdd__k2_xcmplx_0__r4_rm2_r2, axiom, k2_xcmplx_0(4, k4_xcmplx_0(2))=2).
fof(rqRealAdd__k2_xcmplx_0__r4_rm3_r1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(3))=1).
fof(rqRealAdd__k2_xcmplx_0__r4_rm4_r0, axiom, k2_xcmplx_0(4, k4_xcmplx_0(4))=0).
fof(rqRealAdd__k2_xcmplx_0__r4_rm5_rm1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(5))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm8_rm4, axiom, k2_xcmplx_0(4, k4_xcmplx_0(8))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r5_r0_r5, axiom, k2_xcmplx_0(5, 0)=5).
fof(rqRealAdd__k2_xcmplx_0__r5_r3_r8, axiom, k2_xcmplx_0(5, 3)=8).
fof(rqRealAdd__k2_xcmplx_0__r5_r8_r13, axiom, k2_xcmplx_0(5, 8)=13).
fof(rqRealAdd__k2_xcmplx_0__r5_rm13_rm8, axiom, k2_xcmplx_0(5, k4_xcmplx_0(13))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm1_r4, axiom, k2_xcmplx_0(5, k4_xcmplx_0(1))=4).
fof(rqRealAdd__k2_xcmplx_0__r5_rm2_r3, axiom, k2_xcmplx_0(5, k4_xcmplx_0(2))=3).
fof(rqRealAdd__k2_xcmplx_0__r5_rm3_r2, axiom, k2_xcmplx_0(5, k4_xcmplx_0(3))=2).
fof(rqRealAdd__k2_xcmplx_0__r5_rm4_r1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(4))=1).
fof(rqRealAdd__k2_xcmplx_0__r5_rm5_r0, axiom, k2_xcmplx_0(5, k4_xcmplx_0(5))=0).
fof(rqRealAdd__k2_xcmplx_0__r5_rm8_rm3, axiom, k2_xcmplx_0(5, k4_xcmplx_0(8))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r8_r0_r8, axiom, k2_xcmplx_0(8, 0)=8).
fof(rqRealAdd__k2_xcmplx_0__r8_r4_r12, axiom, k2_xcmplx_0(8, 4)=12).
fof(rqRealAdd__k2_xcmplx_0__r8_r5_r13, axiom, k2_xcmplx_0(8, 5)=13).
fof(rqRealAdd__k2_xcmplx_0__r8_r8_r16, axiom, k2_xcmplx_0(8, 8)=16).
fof(rqRealAdd__k2_xcmplx_0__r8_rm12_rm4, axiom, k2_xcmplx_0(8, k4_xcmplx_0(12))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r8_rm13_rm5, axiom, k2_xcmplx_0(8, k4_xcmplx_0(13))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r8_rm16_rm8, axiom, k2_xcmplx_0(8, k4_xcmplx_0(16))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r8_rm3_r5, axiom, k2_xcmplx_0(8, k4_xcmplx_0(3))=5).
fof(rqRealAdd__k2_xcmplx_0__r8_rm4_r4, axiom, k2_xcmplx_0(8, k4_xcmplx_0(4))=4).
fof(rqRealAdd__k2_xcmplx_0__r8_rm5_r3, axiom, k2_xcmplx_0(8, k4_xcmplx_0(5))=3).
fof(rqRealAdd__k2_xcmplx_0__r8_rm8_r0, axiom, k2_xcmplx_0(8, k4_xcmplx_0(8))=0).
fof(rqRealAdd__k2_xcmplx_0__rm12_r12_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 12)=0).
fof(rqRealAdd__k2_xcmplx_0__rm12_r13_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 13)=1).
fof(rqRealAdd__k2_xcmplx_0__rm12_r14_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 14)=2).
fof(rqRealAdd__k2_xcmplx_0__rm12_r16_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 16)=4).
fof(rqRealAdd__k2_xcmplx_0__rm12_r4_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 4)=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm12_r8_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 8)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm1_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(1))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm2_rm14, axiom, k2_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(2))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm3_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(3))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm4_rm16, axiom, k2_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(4))=k4_xcmplx_0(16)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r12_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 12)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r13_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 13)=0).
fof(rqRealAdd__k2_xcmplx_0__rm13_r14_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 14)=1).
fof(rqRealAdd__k2_xcmplx_0__rm13_r15_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 15)=2).
fof(rqRealAdd__k2_xcmplx_0__rm13_r16_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 16)=3).
fof(rqRealAdd__k2_xcmplx_0__rm13_r8_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 8)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm1_rm14, axiom, k2_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(1))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm2_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(2))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm14_r14_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(14), 14)=0).
fof(rqRealAdd__k2_xcmplx_0__rm14_r15_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(14), 15)=1).
fof(rqRealAdd__k2_xcmplx_0__rm14_r16_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(14), 16)=2).
fof(rqRealAdd__k2_xcmplx_0__rm14_r1_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(14), 1)=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm14_r2_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(14), 2)=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm1_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(1))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm2_rm16, axiom, k2_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(2))=k4_xcmplx_0(16)).
fof(rqRealAdd__k2_xcmplx_0__rm15_r12_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(15), 12)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm15_r15_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(15), 15)=0).
fof(rqRealAdd__k2_xcmplx_0__rm15_r16_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(15), 16)=1).
fof(rqRealAdd__k2_xcmplx_0__rm15_r2_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(15), 2)=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm16_r0_rm16, axiom, k2_xcmplx_0(k4_xcmplx_0(16), 0)=k4_xcmplx_0(16)).
fof(rqRealAdd__k2_xcmplx_0__rm16_r12_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(16), 12)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm16_r14_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(16), 14)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm16_r16_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(16), 16)=0).
fof(rqRealAdd__k2_xcmplx_0__rm16_r1_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(16), 1)=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm16_r2_rm14, axiom, k2_xcmplx_0(k4_xcmplx_0(16), 2)=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__rm16_r3_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(16), 3)=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm16_r4_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(16), 4)=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm16_r8_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(16), 8)=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r13_r12, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 13)=12).
fof(rqRealAdd__k2_xcmplx_0__rm1_r14_r13, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 14)=13).
fof(rqRealAdd__k2_xcmplx_0__rm1_r15_r14, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 15)=14).
fof(rqRealAdd__k2_xcmplx_0__rm1_r16_r15, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 16)=15).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 3)=2).
fof(rqRealAdd__k2_xcmplx_0__rm1_r4_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 4)=3).
fof(rqRealAdd__k2_xcmplx_0__rm1_r5_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 5)=4).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm12_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(12))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm13_rm14, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(13))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm14_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(14))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm15_rm16, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(15))=k4_xcmplx_0(16)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm4_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(4))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r14_r12, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 14)=12).
fof(rqRealAdd__k2_xcmplx_0__rm2_r15_r13, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 15)=13).
fof(rqRealAdd__k2_xcmplx_0__rm2_r16_r14, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 16)=14).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=0).
fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 3)=1).
fof(rqRealAdd__k2_xcmplx_0__rm2_r4_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 4)=2).
fof(rqRealAdd__k2_xcmplx_0__rm2_r5_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 5)=3).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm12_rm14, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(12))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm13_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(13))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm14_rm16, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(14))=k4_xcmplx_0(16)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm3_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r15_r12, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 15)=12).
fof(rqRealAdd__k2_xcmplx_0__rm3_r16_r13, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 16)=13).
fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 2)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 3)=0).
fof(rqRealAdd__k2_xcmplx_0__rm3_r4_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 4)=1).
fof(rqRealAdd__k2_xcmplx_0__rm3_r5_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 5)=2).
fof(rqRealAdd__k2_xcmplx_0__rm3_r8_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 8)=5).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm12_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(12))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm13_rm16, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(13))=k4_xcmplx_0(16)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm2_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm5_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(5))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r12_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 12)=8).
fof(rqRealAdd__k2_xcmplx_0__rm4_r16_r12, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 16)=12).
fof(rqRealAdd__k2_xcmplx_0__rm4_r1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 2)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r3_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 3)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r4_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 4)=0).
fof(rqRealAdd__k2_xcmplx_0__rm4_r5_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 5)=1).
fof(rqRealAdd__k2_xcmplx_0__rm4_r8_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 8)=4).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm12_rm16, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(12))=k4_xcmplx_0(16)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(1))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm4_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(4))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm8_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(8))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r13_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 13)=8).
fof(rqRealAdd__k2_xcmplx_0__rm5_r1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 1)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 2)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r3_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 3)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r4_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 4)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r5_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 5)=0).
fof(rqRealAdd__k2_xcmplx_0__rm5_r8_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 8)=3).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm3_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(3))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm8_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(8))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r12_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 12)=4).
fof(rqRealAdd__k2_xcmplx_0__rm8_r13_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 13)=5).
fof(rqRealAdd__k2_xcmplx_0__rm8_r16_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 16)=8).
fof(rqRealAdd__k2_xcmplx_0__rm8_r3_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 3)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r4_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 4)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r5_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 5)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r8_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 8)=0).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm4_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(4))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm5_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(5))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm8_rm16, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(8))=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r12_rm12, axiom, k6_xcmplx_0(0, 12)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r0_r13_rm13, axiom, k6_xcmplx_0(0, 13)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r0_r14_rm14, axiom, k6_xcmplx_0(0, 14)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__r0_r15_rm15, axiom, k6_xcmplx_0(0, 15)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__r0_r16_rm16, axiom, k6_xcmplx_0(0, 16)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r3_rm3, axiom, k6_xcmplx_0(0, 3)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r0_r4_rm4, axiom, k6_xcmplx_0(0, 4)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r0_r5_rm5, axiom, k6_xcmplx_0(0, 5)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__r0_r8_rm8, axiom, k6_xcmplx_0(0, 8)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm15_r15, axiom, k6_xcmplx_0(0, k4_xcmplx_0(15))=15).
fof(rqRealDiff__k6_xcmplx_0__r0_rm16_r16, axiom, k6_xcmplx_0(0, k4_xcmplx_0(16))=16).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rm3_r3, axiom, k6_xcmplx_0(0, k4_xcmplx_0(3))=3).
fof(rqRealDiff__k6_xcmplx_0__r0_rm4_r4, axiom, k6_xcmplx_0(0, k4_xcmplx_0(4))=4).
fof(rqRealDiff__k6_xcmplx_0__r0_rm5_r5, axiom, k6_xcmplx_0(0, k4_xcmplx_0(5))=5).
fof(rqRealDiff__k6_xcmplx_0__r0_rm8_r8, axiom, k6_xcmplx_0(0, k4_xcmplx_0(8))=8).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12, axiom, k6_xcmplx_0(12, 0)=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r12_r0, axiom, k6_xcmplx_0(12, 12)=0).
fof(rqRealDiff__k6_xcmplx_0__r12_r13_rm1, axiom, k6_xcmplx_0(12, 13)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r12_r14_rm2, axiom, k6_xcmplx_0(12, 14)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r12_r15_rm3, axiom, k6_xcmplx_0(12, 15)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r12_r16_rm4, axiom, k6_xcmplx_0(12, 16)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r12_r4_r8, axiom, k6_xcmplx_0(12, 4)=8).
fof(rqRealDiff__k6_xcmplx_0__r12_r8_r4, axiom, k6_xcmplx_0(12, 8)=4).
fof(rqRealDiff__k6_xcmplx_0__r12_rm1_r13, axiom, k6_xcmplx_0(12, k4_xcmplx_0(1))=13).
fof(rqRealDiff__k6_xcmplx_0__r12_rm2_r14, axiom, k6_xcmplx_0(12, k4_xcmplx_0(2))=14).
fof(rqRealDiff__k6_xcmplx_0__r12_rm3_r15, axiom, k6_xcmplx_0(12, k4_xcmplx_0(3))=15).
fof(rqRealDiff__k6_xcmplx_0__r12_rm4_r16, axiom, k6_xcmplx_0(12, k4_xcmplx_0(4))=16).
fof(rqRealDiff__k6_xcmplx_0__r13_r0_r13, axiom, k6_xcmplx_0(13, 0)=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r12_r1, axiom, k6_xcmplx_0(13, 12)=1).
fof(rqRealDiff__k6_xcmplx_0__r13_r13_r0, axiom, k6_xcmplx_0(13, 13)=0).
fof(rqRealDiff__k6_xcmplx_0__r13_r14_rm1, axiom, k6_xcmplx_0(13, 14)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r13_r15_rm2, axiom, k6_xcmplx_0(13, 15)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r13_r16_rm3, axiom, k6_xcmplx_0(13, 16)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r13_r1_r12, axiom, k6_xcmplx_0(13, 1)=12).
fof(rqRealDiff__k6_xcmplx_0__r13_r5_r8, axiom, k6_xcmplx_0(13, 5)=8).
fof(rqRealDiff__k6_xcmplx_0__r13_r8_r5, axiom, k6_xcmplx_0(13, 8)=5).
fof(rqRealDiff__k6_xcmplx_0__r13_rm1_r14, axiom, k6_xcmplx_0(13, k4_xcmplx_0(1))=14).
fof(rqRealDiff__k6_xcmplx_0__r13_rm2_r15, axiom, k6_xcmplx_0(13, k4_xcmplx_0(2))=15).
fof(rqRealDiff__k6_xcmplx_0__r13_rm3_r16, axiom, k6_xcmplx_0(13, k4_xcmplx_0(3))=16).
fof(rqRealDiff__k6_xcmplx_0__r14_r0_r14, axiom, k6_xcmplx_0(14, 0)=14).
fof(rqRealDiff__k6_xcmplx_0__r14_r12_r2, axiom, k6_xcmplx_0(14, 12)=2).
fof(rqRealDiff__k6_xcmplx_0__r14_r13_r1, axiom, k6_xcmplx_0(14, 13)=1).
fof(rqRealDiff__k6_xcmplx_0__r14_r14_r0, axiom, k6_xcmplx_0(14, 14)=0).
fof(rqRealDiff__k6_xcmplx_0__r14_r15_rm1, axiom, k6_xcmplx_0(14, 15)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r14_r16_rm2, axiom, k6_xcmplx_0(14, 16)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r14_r1_r13, axiom, k6_xcmplx_0(14, 1)=13).
fof(rqRealDiff__k6_xcmplx_0__r14_r2_r12, axiom, k6_xcmplx_0(14, 2)=12).
fof(rqRealDiff__k6_xcmplx_0__r14_rm1_r15, axiom, k6_xcmplx_0(14, k4_xcmplx_0(1))=15).
fof(rqRealDiff__k6_xcmplx_0__r14_rm2_r16, axiom, k6_xcmplx_0(14, k4_xcmplx_0(2))=16).
fof(rqRealDiff__k6_xcmplx_0__r15_r0_r15, axiom, k6_xcmplx_0(15, 0)=15).
fof(rqRealDiff__k6_xcmplx_0__r15_r12_r3, axiom, k6_xcmplx_0(15, 12)=3).
fof(rqRealDiff__k6_xcmplx_0__r15_r13_r2, axiom, k6_xcmplx_0(15, 13)=2).
fof(rqRealDiff__k6_xcmplx_0__r15_r14_r1, axiom, k6_xcmplx_0(15, 14)=1).
fof(rqRealDiff__k6_xcmplx_0__r15_r15_r0, axiom, k6_xcmplx_0(15, 15)=0).
fof(rqRealDiff__k6_xcmplx_0__r15_r16_rm1, axiom, k6_xcmplx_0(15, 16)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r15_r1_r14, axiom, k6_xcmplx_0(15, 1)=14).
fof(rqRealDiff__k6_xcmplx_0__r15_r2_r13, axiom, k6_xcmplx_0(15, 2)=13).
fof(rqRealDiff__k6_xcmplx_0__r15_r3_r12, axiom, k6_xcmplx_0(15, 3)=12).
fof(rqRealDiff__k6_xcmplx_0__r15_rm1_r16, axiom, k6_xcmplx_0(15, k4_xcmplx_0(1))=16).
fof(rqRealDiff__k6_xcmplx_0__r16_r0_r16, axiom, k6_xcmplx_0(16, 0)=16).
fof(rqRealDiff__k6_xcmplx_0__r16_r12_r4, axiom, k6_xcmplx_0(16, 12)=4).
fof(rqRealDiff__k6_xcmplx_0__r16_r13_r3, axiom, k6_xcmplx_0(16, 13)=3).
fof(rqRealDiff__k6_xcmplx_0__r16_r14_r2, axiom, k6_xcmplx_0(16, 14)=2).
fof(rqRealDiff__k6_xcmplx_0__r16_r15_r1, axiom, k6_xcmplx_0(16, 15)=1).
fof(rqRealDiff__k6_xcmplx_0__r16_r16_r0, axiom, k6_xcmplx_0(16, 16)=0).
fof(rqRealDiff__k6_xcmplx_0__r16_r1_r15, axiom, k6_xcmplx_0(16, 1)=15).
fof(rqRealDiff__k6_xcmplx_0__r16_r2_r14, axiom, k6_xcmplx_0(16, 2)=14).
fof(rqRealDiff__k6_xcmplx_0__r16_r3_r13, axiom, k6_xcmplx_0(16, 3)=13).
fof(rqRealDiff__k6_xcmplx_0__r16_r4_r12, axiom, k6_xcmplx_0(16, 4)=12).
fof(rqRealDiff__k6_xcmplx_0__r16_r8_r8, axiom, k6_xcmplx_0(16, 8)=8).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r13_rm12, axiom, k6_xcmplx_0(1, 13)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r1_r14_rm13, axiom, k6_xcmplx_0(1, 14)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r1_r15_rm14, axiom, k6_xcmplx_0(1, 15)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__r1_r16_rm15, axiom, k6_xcmplx_0(1, 16)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2, axiom, k6_xcmplx_0(1, 3)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r1_r4_rm3, axiom, k6_xcmplx_0(1, 4)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r1_r5_rm4, axiom, k6_xcmplx_0(1, 5)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm12_r13, axiom, k6_xcmplx_0(1, k4_xcmplx_0(12))=13).
fof(rqRealDiff__k6_xcmplx_0__r1_rm13_r14, axiom, k6_xcmplx_0(1, k4_xcmplx_0(13))=14).
fof(rqRealDiff__k6_xcmplx_0__r1_rm14_r15, axiom, k6_xcmplx_0(1, k4_xcmplx_0(14))=15).
fof(rqRealDiff__k6_xcmplx_0__r1_rm15_r16, axiom, k6_xcmplx_0(1, k4_xcmplx_0(15))=16).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom, k6_xcmplx_0(1, k4_xcmplx_0(2))=3).
fof(rqRealDiff__k6_xcmplx_0__r1_rm3_r4, axiom, k6_xcmplx_0(1, k4_xcmplx_0(3))=4).
fof(rqRealDiff__k6_xcmplx_0__r1_rm4_r5, axiom, k6_xcmplx_0(1, k4_xcmplx_0(4))=5).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r14_rm12, axiom, k6_xcmplx_0(2, 14)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r2_r15_rm13, axiom, k6_xcmplx_0(2, 15)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r2_r16_rm14, axiom, k6_xcmplx_0(2, 16)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1, axiom, k6_xcmplx_0(2, 3)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r2_r4_rm2, axiom, k6_xcmplx_0(2, 4)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r5_rm3, axiom, k6_xcmplx_0(2, 5)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm12_r14, axiom, k6_xcmplx_0(2, k4_xcmplx_0(12))=14).
fof(rqRealDiff__k6_xcmplx_0__r2_rm13_r15, axiom, k6_xcmplx_0(2, k4_xcmplx_0(13))=15).
fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom, k6_xcmplx_0(2, k4_xcmplx_0(1))=3).
fof(rqRealDiff__k6_xcmplx_0__r2_rm2_r4, axiom, k6_xcmplx_0(2, k4_xcmplx_0(2))=4).
fof(rqRealDiff__k6_xcmplx_0__r2_rm3_r5, axiom, k6_xcmplx_0(2, k4_xcmplx_0(3))=5).
fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom, k6_xcmplx_0(3, 0)=3).
fof(rqRealDiff__k6_xcmplx_0__r3_r15_rm12, axiom, k6_xcmplx_0(3, 15)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r3_r16_rm13, axiom, k6_xcmplx_0(3, 16)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(3, 1)=2).
fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom, k6_xcmplx_0(3, 2)=1).
fof(rqRealDiff__k6_xcmplx_0__r3_r3_r0, axiom, k6_xcmplx_0(3, 3)=0).
fof(rqRealDiff__k6_xcmplx_0__r3_r4_rm1, axiom, k6_xcmplx_0(3, 4)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r3_r5_rm2, axiom, k6_xcmplx_0(3, 5)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r3_r8_rm5, axiom, k6_xcmplx_0(3, 8)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__r3_rm12_r15, axiom, k6_xcmplx_0(3, k4_xcmplx_0(12))=15).
fof(rqRealDiff__k6_xcmplx_0__r3_rm1_r4, axiom, k6_xcmplx_0(3, k4_xcmplx_0(1))=4).
fof(rqRealDiff__k6_xcmplx_0__r3_rm2_r5, axiom, k6_xcmplx_0(3, k4_xcmplx_0(2))=5).
fof(rqRealDiff__k6_xcmplx_0__r3_rm5_r8, axiom, k6_xcmplx_0(3, k4_xcmplx_0(5))=8).
fof(rqRealDiff__k6_xcmplx_0__r4_r0_r4, axiom, k6_xcmplx_0(4, 0)=4).
fof(rqRealDiff__k6_xcmplx_0__r4_r12_rm8, axiom, k6_xcmplx_0(4, 12)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__r4_r16_rm12, axiom, k6_xcmplx_0(4, 16)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom, k6_xcmplx_0(4, 1)=3).
fof(rqRealDiff__k6_xcmplx_0__r4_r2_r2, axiom, k6_xcmplx_0(4, 2)=2).
fof(rqRealDiff__k6_xcmplx_0__r4_r3_r1, axiom, k6_xcmplx_0(4, 3)=1).
fof(rqRealDiff__k6_xcmplx_0__r4_r4_r0, axiom, k6_xcmplx_0(4, 4)=0).
fof(rqRealDiff__k6_xcmplx_0__r4_r5_rm1, axiom, k6_xcmplx_0(4, 5)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r4_r8_rm4, axiom, k6_xcmplx_0(4, 8)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r4_rm12_r16, axiom, k6_xcmplx_0(4, k4_xcmplx_0(12))=16).
fof(rqRealDiff__k6_xcmplx_0__r4_rm1_r5, axiom, k6_xcmplx_0(4, k4_xcmplx_0(1))=5).
fof(rqRealDiff__k6_xcmplx_0__r4_rm4_r8, axiom, k6_xcmplx_0(4, k4_xcmplx_0(4))=8).
fof(rqRealDiff__k6_xcmplx_0__r4_rm8_r12, axiom, k6_xcmplx_0(4, k4_xcmplx_0(8))=12).
fof(rqRealDiff__k6_xcmplx_0__r5_r0_r5, axiom, k6_xcmplx_0(5, 0)=5).
fof(rqRealDiff__k6_xcmplx_0__r5_r13_rm8, axiom, k6_xcmplx_0(5, 13)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__r5_r1_r4, axiom, k6_xcmplx_0(5, 1)=4).
fof(rqRealDiff__k6_xcmplx_0__r5_r2_r3, axiom, k6_xcmplx_0(5, 2)=3).
fof(rqRealDiff__k6_xcmplx_0__r5_r3_r2, axiom, k6_xcmplx_0(5, 3)=2).
fof(rqRealDiff__k6_xcmplx_0__r5_r4_r1, axiom, k6_xcmplx_0(5, 4)=1).
fof(rqRealDiff__k6_xcmplx_0__r5_r5_r0, axiom, k6_xcmplx_0(5, 5)=0).
fof(rqRealDiff__k6_xcmplx_0__r5_r8_rm3, axiom, k6_xcmplx_0(5, 8)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r5_rm3_r8, axiom, k6_xcmplx_0(5, k4_xcmplx_0(3))=8).
fof(rqRealDiff__k6_xcmplx_0__r5_rm8_r13, axiom, k6_xcmplx_0(5, k4_xcmplx_0(8))=13).
fof(rqRealDiff__k6_xcmplx_0__r8_r0_r8, axiom, k6_xcmplx_0(8, 0)=8).
fof(rqRealDiff__k6_xcmplx_0__r8_r12_rm4, axiom, k6_xcmplx_0(8, 12)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r8_r13_rm5, axiom, k6_xcmplx_0(8, 13)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__r8_r16_rm8, axiom, k6_xcmplx_0(8, 16)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__r8_r3_r5, axiom, k6_xcmplx_0(8, 3)=5).
fof(rqRealDiff__k6_xcmplx_0__r8_r4_r4, axiom, k6_xcmplx_0(8, 4)=4).
fof(rqRealDiff__k6_xcmplx_0__r8_r5_r3, axiom, k6_xcmplx_0(8, 5)=3).
fof(rqRealDiff__k6_xcmplx_0__r8_r8_r0, axiom, k6_xcmplx_0(8, 8)=0).
fof(rqRealDiff__k6_xcmplx_0__r8_rm4_r12, axiom, k6_xcmplx_0(8, k4_xcmplx_0(4))=12).
fof(rqRealDiff__k6_xcmplx_0__r8_rm5_r13, axiom, k6_xcmplx_0(8, k4_xcmplx_0(5))=13).
fof(rqRealDiff__k6_xcmplx_0__r8_rm8_r16, axiom, k6_xcmplx_0(8, k4_xcmplx_0(8))=16).
fof(rqRealDiff__k6_xcmplx_0__rm12_r0_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 0)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r1_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r2_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 2)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r3_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 3)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r4_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 4)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm12_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(12))=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm13_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(13))=1).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm14_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(14))=2).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm15_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(15))=3).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm16_r4, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(16))=4).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm4_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(4))=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm8_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(8))=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm13_r0_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 0)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm13_r1_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm13_r2_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 2)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm13_r3_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 3)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm12_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm13_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(13))=0).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm14_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(14))=1).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm15_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(15))=2).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm16_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(16))=3).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm1_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(1))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm5_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(5))=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm8_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(8))=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm14_r0_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(14), 0)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm14_r1_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(14), 1)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm14_r2_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(14), 2)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm12_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(12))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm13_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(13))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm14_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(14))=0).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm15_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(15))=1).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm16_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(16))=2).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm1_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(1))=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm2_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(2))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm15_r0_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(15), 0)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm15_r1_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(15), 1)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm12_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(12))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm13_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(13))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm14_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(14))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm15_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(15))=0).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm16_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(16))=1).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm1_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(1))=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm2_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(2))=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm3_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(3))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm16_r0_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(16), 0)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm12_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(12))=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm13_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(13))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm14_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(14))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm15_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(15))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm16_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(16))=0).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm1_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(1))=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm2_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(2))=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm3_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(3))=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm4_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(4))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm8_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(16), k4_xcmplx_0(8))=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r12_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 12)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r13_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 13)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r14_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 14)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r15_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 15)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 2)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r3_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 3)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r4_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 4)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm13_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(13))=12).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm14_r13, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(14))=13).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm15_r14, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(15))=14).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm16_r15, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(16))=15).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=2).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm4_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(4))=3).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm5_r4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(5))=4).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r12_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 12)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r13_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 13)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r14_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 14)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r2_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r3_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 3)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm14_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(14))=12).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm15_r13, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(15))=13).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm16_r14, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(16))=14).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=1).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm4_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(4))=2).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm5_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(5))=3).
fof(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 0)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r12_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 12)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r13_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 13)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r1_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r2_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 2)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r5_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 5)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm15_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(15))=12).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm16_r13, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(16))=13).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(3))=0).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm4_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(4))=1).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm5_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(5))=2).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm8_r5, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(8))=5).
fof(rqRealDiff__k6_xcmplx_0__rm4_r0_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 0)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm4_r12_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 12)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm4_r1_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm4_r4_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 4)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm4_r8_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 8)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm12_r8, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(12))=8).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm16_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(16))=12).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm4_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(4))=0).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm5_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(5))=1).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm8_r4, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(8))=4).
fof(rqRealDiff__k6_xcmplx_0__rm5_r0_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(5), 0)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm5_r3_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(5), 3)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm5_r8_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(5), 8)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm13_r8, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(13))=8).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm1_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(1))=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm2_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm3_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm4_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(4))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm5_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(5))=0).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm8_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(8))=3).
fof(rqRealDiff__k6_xcmplx_0__rm8_r0_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(8), 0)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm8_r4_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(8), 4)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm8_r5_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(8), 5)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm8_r8_rm16, axiom, k6_xcmplx_0(k4_xcmplx_0(8), 8)=k4_xcmplx_0(16)).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm12_r4, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(12))=4).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm13_r5, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(13))=5).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm16_r8, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(16))=8).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm3_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(3))=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm4_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(4))=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm5_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(5))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm8_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(8))=0).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r12_r0, axiom, k3_xcmplx_0(0, 12)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r13_r0, axiom, k3_xcmplx_0(0, 13)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r14_r0, axiom, k3_xcmplx_0(0, 14)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r15_r0, axiom, k3_xcmplx_0(0, 15)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r16_r0, axiom, k3_xcmplx_0(0, 16)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r3_r0, axiom, k3_xcmplx_0(0, 3)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r4_r0, axiom, k3_xcmplx_0(0, 4)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r5_r0, axiom, k3_xcmplx_0(0, 5)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r8_r0, axiom, k3_xcmplx_0(0, 8)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm3_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(3))=0).
fof(rqRealMult__k3_xcmplx_0__r12_r0_r0, axiom, k3_xcmplx_0(12, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r12_r1_r12, axiom, k3_xcmplx_0(12, 1)=12).
fof(rqRealMult__k3_xcmplx_0__r13_r0_r0, axiom, k3_xcmplx_0(13, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r14_r0_r0, axiom, k3_xcmplx_0(14, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r14_r1_r14, axiom, k3_xcmplx_0(14, 1)=14).
fof(rqRealMult__k3_xcmplx_0__r15_r0_r0, axiom, k3_xcmplx_0(15, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r15_r1_r15, axiom, k3_xcmplx_0(15, 1)=15).
fof(rqRealMult__k3_xcmplx_0__r16_r0_r0, axiom, k3_xcmplx_0(16, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r16_r1_r16, axiom, k3_xcmplx_0(16, 1)=16).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13, axiom, k3_xcmplx_0(1, 13)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r14_r14, axiom, k3_xcmplx_0(1, 14)=14).
fof(rqRealMult__k3_xcmplx_0__r1_r15_r15, axiom, k3_xcmplx_0(1, 15)=15).
fof(rqRealMult__k3_xcmplx_0__r1_r16_r16, axiom, k3_xcmplx_0(1, 16)=16).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom, k3_xcmplx_0(1, 4)=4).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r1_r8_r8, axiom, k3_xcmplx_0(1, 8)=8).
fof(rqRealMult__k3_xcmplx_0__r1_rm12_rm12, axiom, k3_xcmplx_0(1, k4_xcmplx_0(12))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r1_rm13_rm13, axiom, k3_xcmplx_0(1, k4_xcmplx_0(13))=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__r1_rm14_rm14, axiom, k3_xcmplx_0(1, k4_xcmplx_0(14))=k4_xcmplx_0(14)).
fof(rqRealMult__k3_xcmplx_0__r1_rm15_rm15, axiom, k3_xcmplx_0(1, k4_xcmplx_0(15))=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__r1_rm16_rm16, axiom, k3_xcmplx_0(1, k4_xcmplx_0(16))=k4_xcmplx_0(16)).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rm3_rm3, axiom, k3_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__r1_rm4_rm4, axiom, k3_xcmplx_0(1, k4_xcmplx_0(4))=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__r1_rm5_rm5, axiom, k3_xcmplx_0(1, k4_xcmplx_0(5))=k4_xcmplx_0(5)).
fof(rqRealMult__k3_xcmplx_0__r1_rm8_rm8, axiom, k3_xcmplx_0(1, k4_xcmplx_0(8))=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
fof(rqRealMult__k3_xcmplx_0__r2_r4_r8, axiom, k3_xcmplx_0(2, 4)=8).
fof(rqRealMult__k3_xcmplx_0__r2_r8_r16, axiom, k3_xcmplx_0(2, 8)=16).
fof(rqRealMult__k3_xcmplx_0__r2_rm2_rm4, axiom, k3_xcmplx_0(2, k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__r2_rm4_rm8, axiom, k3_xcmplx_0(2, k4_xcmplx_0(4))=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__r2_rm8_rm16, axiom, k3_xcmplx_0(2, k4_xcmplx_0(8))=k4_xcmplx_0(16)).
fof(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom, k3_xcmplx_0(3, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(rqRealMult__k3_xcmplx_0__r3_r4_r12, axiom, k3_xcmplx_0(3, 4)=12).
fof(rqRealMult__k3_xcmplx_0__r3_r5_r15, axiom, k3_xcmplx_0(3, 5)=15).
fof(rqRealMult__k3_xcmplx_0__r3_rm4_rm12, axiom, k3_xcmplx_0(3, k4_xcmplx_0(4))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r3_rm5_rm15, axiom, k3_xcmplx_0(3, k4_xcmplx_0(5))=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__r4_r0_r0, axiom, k3_xcmplx_0(4, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
fof(rqRealMult__k3_xcmplx_0__r4_r2_r8, axiom, k3_xcmplx_0(4, 2)=8).
fof(rqRealMult__k3_xcmplx_0__r4_r3_r12, axiom, k3_xcmplx_0(4, 3)=12).
fof(rqRealMult__k3_xcmplx_0__r4_r4_r16, axiom, k3_xcmplx_0(4, 4)=16).
fof(rqRealMult__k3_xcmplx_0__r4_rm2_rm8, axiom, k3_xcmplx_0(4, k4_xcmplx_0(2))=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__r4_rm3_rm12, axiom, k3_xcmplx_0(4, k4_xcmplx_0(3))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r4_rm4_rm16, axiom, k3_xcmplx_0(4, k4_xcmplx_0(4))=k4_xcmplx_0(16)).
fof(rqRealMult__k3_xcmplx_0__r5_r0_r0, axiom, k3_xcmplx_0(5, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r5_r3_r15, axiom, k3_xcmplx_0(5, 3)=15).
fof(rqRealMult__k3_xcmplx_0__r5_rm3_rm15, axiom, k3_xcmplx_0(5, k4_xcmplx_0(3))=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__r8_r0_r0, axiom, k3_xcmplx_0(8, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r8_r1_r8, axiom, k3_xcmplx_0(8, 1)=8).
fof(rqRealMult__k3_xcmplx_0__r8_r2_r16, axiom, k3_xcmplx_0(8, 2)=16).
fof(rqRealMult__k3_xcmplx_0__r8_rm2_rm16, axiom, k3_xcmplx_0(8, k4_xcmplx_0(2))=k4_xcmplx_0(16)).
fof(rqRealMult__k3_xcmplx_0__rm12_r1_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm13_r1_rm13, axiom, k3_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__rm14_r1_rm14, axiom, k3_xcmplx_0(k4_xcmplx_0(14), 1)=k4_xcmplx_0(14)).
fof(rqRealMult__k3_xcmplx_0__rm15_r1_rm15, axiom, k3_xcmplx_0(k4_xcmplx_0(15), 1)=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__rm16_r1_rm16, axiom, k3_xcmplx_0(k4_xcmplx_0(16), 1)=k4_xcmplx_0(16)).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_r2_rm4, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__rm2_r4_rm8, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 4)=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__rm2_r8_rm16, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 8)=k4_xcmplx_0(16)).
fof(rqRealMult__k3_xcmplx_0__rm2_rm2_r4, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=4).
fof(rqRealMult__k3_xcmplx_0__rm2_rm4_r8, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(4))=8).
fof(rqRealMult__k3_xcmplx_0__rm2_rm8_r16, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(8))=16).
fof(rqRealMult__k3_xcmplx_0__rm3_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm3_r1_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rm3_r4_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 4)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm3_r5_rm15, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 5)=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__rm3_rm4_r12, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(4))=12).
fof(rqRealMult__k3_xcmplx_0__rm3_rm5_r15, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(5))=15).
fof(rqRealMult__k3_xcmplx_0__rm4_r1_rm4, axiom, k3_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__rm4_r2_rm8, axiom, k3_xcmplx_0(k4_xcmplx_0(4), 2)=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__rm4_r3_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(4), 3)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm4_r4_rm16, axiom, k3_xcmplx_0(k4_xcmplx_0(4), 4)=k4_xcmplx_0(16)).
fof(rqRealMult__k3_xcmplx_0__rm4_rm2_r8, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=8).
fof(rqRealMult__k3_xcmplx_0__rm4_rm3_r12, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(3))=12).
fof(rqRealMult__k3_xcmplx_0__rm4_rm4_r16, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(4))=16).
fof(rqRealMult__k3_xcmplx_0__rm5_r1_rm5, axiom, k3_xcmplx_0(k4_xcmplx_0(5), 1)=k4_xcmplx_0(5)).
fof(rqRealMult__k3_xcmplx_0__rm5_r3_rm15, axiom, k3_xcmplx_0(k4_xcmplx_0(5), 3)=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__rm5_rm3_r15, axiom, k3_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(3))=15).
fof(rqRealMult__k3_xcmplx_0__rm8_r1_rm8, axiom, k3_xcmplx_0(k4_xcmplx_0(8), 1)=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__rm8_r2_rm16, axiom, k3_xcmplx_0(k4_xcmplx_0(8), 2)=k4_xcmplx_0(16)).
fof(rqRealMult__k3_xcmplx_0__rm8_rm2_r16, axiom, k3_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(2))=16).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r14_rm14, axiom, k4_xcmplx_0(14)=k4_xcmplx_0(14)).
fof(rqRealNeg__k4_xcmplx_0__r15_rm15, axiom, k4_xcmplx_0(15)=k4_xcmplx_0(15)).
fof(rqRealNeg__k4_xcmplx_0__r16_rm16, axiom, k4_xcmplx_0(16)=k4_xcmplx_0(16)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom, k4_xcmplx_0(3)=k4_xcmplx_0(3)).
fof(rqRealNeg__k4_xcmplx_0__r4_rm4, axiom, k4_xcmplx_0(4)=k4_xcmplx_0(4)).
fof(rqRealNeg__k4_xcmplx_0__r5_rm5, axiom, k4_xcmplx_0(5)=k4_xcmplx_0(5)).
fof(rqRealNeg__k4_xcmplx_0__r8_rm8, axiom, k4_xcmplx_0(8)=k4_xcmplx_0(8)).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
fof(rqRealNeg__k4_xcmplx_0__rm14_r14, axiom, k4_xcmplx_0(k4_xcmplx_0(14))=14).
fof(rqRealNeg__k4_xcmplx_0__rm15_r15, axiom, k4_xcmplx_0(k4_xcmplx_0(15))=15).
fof(rqRealNeg__k4_xcmplx_0__rm16_r16, axiom, k4_xcmplx_0(k4_xcmplx_0(16))=16).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom, k4_xcmplx_0(k4_xcmplx_0(3))=3).
fof(rqRealNeg__k4_xcmplx_0__rm4_r4, axiom, k4_xcmplx_0(k4_xcmplx_0(4))=4).
fof(rqRealNeg__k4_xcmplx_0__rm5_r5, axiom, k4_xcmplx_0(k4_xcmplx_0(5))=5).
fof(rqRealNeg__k4_xcmplx_0__rm8_r8, axiom, k4_xcmplx_0(k4_xcmplx_0(8))=8).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc12_boole, axiom,  ~ (v1_xboole_0(12)) ).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
fof(spc13_boole, axiom,  ~ (v1_xboole_0(13)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, k4_ordinal1)) ).
fof(spc14_boole, axiom,  ~ (v1_xboole_0(14)) ).
fof(spc14_numerals, axiom,  (v2_xxreal_0(14) & m1_subset_1(14, k4_ordinal1)) ).
fof(spc15_boole, axiom,  ~ (v1_xboole_0(15)) ).
fof(spc15_numerals, axiom,  (v2_xxreal_0(15) & m1_subset_1(15, k4_ordinal1)) ).
fof(spc16_boole, axiom,  ~ (v1_xboole_0(16)) ).
fof(spc16_numerals, axiom,  (v2_xxreal_0(16) & m1_subset_1(16, k4_ordinal1)) ).
fof(spc1_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
fof(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc8_boole, axiom,  ~ (v1_xboole_0(8)) ).
fof(spc8_numerals, axiom,  (v2_xxreal_0(8) & m1_subset_1(8, k4_ordinal1)) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(symmetry_r1_funct_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) )  =>  (r1_funct_2(A, B, C, D, E, F) => r1_funct_2(A, B, C, D, F, E)) ) ) ).
fof(t14_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, A), A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  => k1_finsop_1(A, k3_finseq_4(A, B, C, D), E)=k4_binop_1(A, E, k4_binop_1(A, E, B, C), D)) ) ) ) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t20_square_1, axiom, k3_square_1(4)=2).
fof(t22_square_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (r1_xxreal_0(k5_numbers, A) => k3_square_1(k1_square_1(A))=A) ) ) ).
fof(t25_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) <=>  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A))) ) ) ) ) ) ).
fof(t29_square_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(k5_numbers, A) & r1_xxreal_0(k5_numbers, B))  => k3_square_1(k3_xcmplx_0(A, B))=k3_xcmplx_0(k3_square_1(A), k3_square_1(B))) ) ) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
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(t2_xboole_1, axiom,  (! [A] : r1_tarski(k1_xboole_0, A)) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
fof(t4_finsop_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  =>  ( (v1_setwiseo(D, A) | r1_xxreal_0(1, k3_finseq_1(C)))  => k1_finsop_1(A, k8_finseq_1(A, C, k12_finseq_1(A, B)), D)=k4_binop_1(A, D, k1_finsop_1(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
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(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(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(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t70_polynom9, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  (m1_polynom9(B, k1_complfld, A) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, u1_struct_0(k2_vectsp_1)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, u1_struct_0(k2_vectsp_1))))) )  =>  (k2_polynom2(A, k2_vectsp_1, k13_polynom9(A, B), C)=k5_numbers <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k7_subset_1(k4_ordinal1, k2_finseq_1(A), k6_domain_1(k4_ordinal1, 1)))) & k1_finsop_1(u1_struct_0(k1_complfld), k12_hilb10_7(u1_struct_0(k1_complfld), u1_algstr_0(k1_complfld), k11_polynom9(k11_afinsq_1(u1_struct_0(k2_vectsp_1), k2_hilb10_2(A, u1_struct_0(k2_vectsp_1), C))), D), u1_algstr_0(k1_complfld))=k5_numbers) ) ) ) ) ) ) ) ) ).
fof(t71_polynom9, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v3_valued_0(B)) ) )  =>  (r1_xxreal_0(k5_numbers, k1_funct_1(B, A)) =>  (r1_xxreal_0(A, 1) | k1_funct_1(k11_polynom9(B), A)=k3_square_1(k1_funct_1(B, A))) ) ) ) ) ) ).
fof(t74_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k7_finseq_4(A, B, C, D)=k7_finseq_1(k11_finseq_1(A, B, C), k9_finseq_1(D)) &  (k7_finseq_4(A, B, C, D)=k7_finseq_1(k10_finseq_1(A, B), k10_finseq_1(C, D)) &  (k7_finseq_4(A, B, C, D)=k7_finseq_1(k9_finseq_1(A), k11_finseq_1(B, C, D)) & k7_finseq_4(A, B, C, D)=k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C)), k9_finseq_1(D))) ) ) ) ) ) ) ).
fof(t76_finseq_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (E=k7_finseq_4(A, B, C, D) <=>  (k3_finseq_1(E)=4 &  (k1_funct_1(E, 1)=A &  (k1_funct_1(E, 2)=B &  (k1_funct_1(E, 3)=C & k1_funct_1(E, 4)=D) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_fvsum_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_algstr_1(A) &  (v4_rlvect_1(A) & l2_algstr_0(A)) ) )  => v1_setwiseo(u1_algstr_0(A), u1_struct_0(A))) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
