% Mizar problem: t59_jordan1j,jordan1j,3550,5 
fof(t59_jordan1j, conjecture,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_topreal2(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, E) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k3_topreal1(2, k1_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k3_topreal1(2, k2_jordan1e(B, A)))=k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D)) & r1_xboole_0(k1_rltopsp1(k15_euclid(2), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E)), k8_jordan6(B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_pre_topc(A) => A=g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) ) ) ).
fof(abstractness_v5_rltopsp1, axiom,  (! [A] :  (l1_rltopsp1(A) =>  (v5_rltopsp1(A) => A=g1_rltopsp1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A), u1_pre_topc(A))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_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_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
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_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => v6_valued_0(A)) ) ).
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(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(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_finseq_6, axiom,  (! [A, B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v2_finseq_1(C)) ) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_jordan1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v1_convex1(B, k15_euclid(A)) => v2_connsp_1(B, k15_euclid(A))) ) ) ) ) ).
fof(cc1_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (v2_compts_1(B, k15_euclid(A)) => v9_rltopsp1(B, k15_euclid(A))) ) ) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) => v2_pre_topc(B)) ) ) ) ).
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_sppol_2, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v4_topreal1(A) =>  ( ~ (v1_zfmisc_1(A))  &  (v2_funct_1(A) &  (v1_topreal1(A) &  (v2_topreal1(A) & v3_topreal1(A)) ) ) ) ) ) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc1_topreal2, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  ( ~ (v1_xboole_0(A))  & v2_compts_1(A, k15_euclid(2))) ) ) ) ).
fof(cc1_topreal5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  (v1_topreal2(A) &  ( ~ (v1_sppol_1(A))  &  ~ (v2_sppol_1(A)) ) ) ) ) ) ).
fof(cc1_topreal6, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v2_connsp_1(B, A)) ) ) ) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc20_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => v3_valued_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => v1_finseq_1(B)) ) ) ) ).
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_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_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_sppol_2, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  ( ( ~ (v1_zfmisc_1(A))  &  (v2_funct_1(A) &  (v1_topreal1(A) &  (v2_topreal1(A) & v3_topreal1(A)) ) ) )  => v4_topreal1(A)) ) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_topreal6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( ~ (v1_sppol_1(A))  =>  ~ (v1_xboole_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(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => v3_valued_0(B)) ) ) ) ).
fof(cc3_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) => v5_relat_1(B, 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_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(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_sppol_2, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v4_topreal1(A) =>  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc3_topreal6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( ~ (v2_sppol_1(A))  =>  ~ (v1_xboole_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(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) => v3_card_1(B, 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_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_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc4_topreal6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v2_topreal4(A, k15_euclid(2)) =>  (v3_pre_topc(A, k15_euclid(2)) & v2_connsp_1(A, k15_euclid(2))) ) ) ) ).
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(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_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_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ).
fof(cc5_topreal6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( (v3_pre_topc(A, k15_euclid(2)) & v2_connsp_1(A, k15_euclid(2)))  => v2_topreal4(A, k15_euclid(2))) ) ) ).
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_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_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_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(A)) ) ) ).
fof(cc6_topreal6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_xboole_0(A) => v1_sppol_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_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_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v7_pre_topc(A) => v6_pre_topc(A)) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc7_topreal6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_xboole_0(A) => v2_sppol_1(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_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_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v8_pre_topc(A) => v7_pre_topc(A)) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(cc8_topreal6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) => v2_connsp_1(A, k15_euclid(2))) ) ) ).
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_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_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_struct_0(A) => v6_pre_topc(A)) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(commutativity_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, A)) ) ).
fof(commutativity_k1_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k1_rltopsp1(A, B, C)=k1_rltopsp1(A, C, B)) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(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_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, C)=k4_subset_1(A, C, B)) ) ).
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_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k9_pscomp_1(A)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), A), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, A))) ) ).
fof(d11_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k10_pscomp_1(A)=k19_euclid(k6_pscomp_1(A), k9_pscomp_1(A))) ) ).
fof(d11_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (B=k5_topreal1(A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, B) <=>  (r1_xxreal_0(k17_euclid(A), k17_euclid(C)) & k18_euclid(C)=k18_euclid(A)) ) ) ) ) ) ) ) ) ).
fof(d12_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k11_pscomp_1(A)=k19_euclid(k6_pscomp_1(A), k7_pscomp_1(A))) ) ).
fof(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0).
fof(d13_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k12_pscomp_1(A)=k19_euclid(k8_pscomp_1(A), k7_pscomp_1(A))) ) ).
fof(d14_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k13_pscomp_1(A)=k19_euclid(k8_pscomp_1(A), k9_pscomp_1(A))) ) ).
fof(d15_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k14_pscomp_1(A)=k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k10_pscomp_1(A), k11_pscomp_1(A)), A)) ) ).
fof(d16_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k15_pscomp_1(A)=k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k11_pscomp_1(A), k12_pscomp_1(A)), A)) ) ).
fof(d17_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k16_pscomp_1(A)=k9_subset_1(u1_struct_0(k15_euclid(2)), k1_rltopsp1(k15_euclid(2), k13_pscomp_1(A), k12_pscomp_1(A)), A)) ) ).
fof(d19_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k18_pscomp_1(A)=k19_euclid(k6_pscomp_1(A), k1_pscomp_1(k1_pre_topc(k15_euclid(2), k14_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k14_pscomp_1(A))))) ) ).
fof(d1_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k1_jordan1e(A, B)=k1_finseq_5(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ).
fof(d1_jordan8, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  (C=k1_jordan8(A, B) <=>  (k3_finseq_1(C)=k1_nat_1(k1_newton(2, B), 3) &  (k3_finseq_1(C)=k1_matrix_0(C) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (r2_hidden(k4_tarski(D, E), k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(k15_euclid(2)), C, D, E)=k19_euclid(k2_xcmplx_0(k6_pscomp_1(A), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(A), k6_pscomp_1(A)), k1_newton(2, B)), k6_xcmplx_0(D, 2))), k2_xcmplx_0(k9_pscomp_1(A), k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A), k9_pscomp_1(A)), k1_newton(2, B)), k6_xcmplx_0(E, 2))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_jordan9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (v2_connsp_1(A, k15_euclid(2)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(C) &  (v2_topreal1(C) &  (v1_goboard5(C) &  (v2_goboard5(C) &  (v1_sprect_2(C) & m2_finseq_1(C, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (C=k1_jordan9(A, B) <=>  (r1_goboard1(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B)) &  ( (? [D] :  (v7_ordinal1(D) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(k1_nat_1(D, 1), k3_finseq_1(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k1_matrix_0(k1_jordan8(A, B))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), C, 2)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), k1_nat_1(D, 1), k1_matrix_0(k1_jordan8(A, B))) &  (r2_tarski(k20_pscomp_1(A), k3_goboard5(k1_jordan8(A, B), D, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1))) &  ~ (k20_pscomp_1(A)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(A, B), D, k7_nat_d(k1_matrix_0(k1_jordan8(A, B)), 1))) ) ) ) ) ) ) )  &  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(k1_nat_1(D, 2), k3_finseq_1(C)))  =>  ( ( (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), D), A) & r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), D), A))  => r1_gobrd13(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B), D))  &  ( (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), D), A) =>  (r1_xboole_0(k3_gobrd13(C, k1_jordan8(A, B), D), A) | r3_gobrd13(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B), D)) )  &  ( ~ (r1_xboole_0(k4_gobrd13(C, k1_jordan8(A, B), D), A))  => r2_gobrd13(u1_struct_0(k15_euclid(2)), C, k1_jordan8(A, B), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_pscomp_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k1_pscomp_1(A, B)=k3_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, u1_struct_0(A)))) ) ) ) ).
fof(d1_tarski, axiom,  (! [A] :  (! [B] :  (B=k1_tarski(A) <=>  (! [C] :  (r2_hidden(C, B) <=> C=A) ) ) ) ) ).
fof(d20_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k19_pscomp_1(A)=k19_euclid(k6_pscomp_1(A), k2_pscomp_1(k1_pre_topc(k15_euclid(2), k14_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k14_pscomp_1(A))))) ) ).
fof(d21_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k20_pscomp_1(A)=k19_euclid(k1_pscomp_1(k1_pre_topc(k15_euclid(2), k15_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k15_pscomp_1(A))), k7_pscomp_1(A))) ) ).
fof(d22_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k21_pscomp_1(A)=k19_euclid(k2_pscomp_1(k1_pre_topc(k15_euclid(2), k15_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, k15_pscomp_1(A))), k7_pscomp_1(A))) ) ).
fof(d23_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k22_pscomp_1(A)=k19_euclid(k8_pscomp_1(A), k2_pscomp_1(k1_pre_topc(k15_euclid(2), k16_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k16_pscomp_1(A))))) ) ).
fof(d24_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k23_pscomp_1(A)=k19_euclid(k8_pscomp_1(A), k1_pscomp_1(k1_pre_topc(k15_euclid(2), k16_pscomp_1(A)), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, k16_pscomp_1(A))))) ) ).
fof(d2_pscomp_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  => k2_pscomp_1(A, B)=k2_seq_4(k7_relset_1(u1_struct_0(A), k1_numbers, B, u1_struct_0(A)))) ) ) ) ).
fof(d2_tarski, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_tarski(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (D=A | D=B) ) ) ) ) ) ) ).
fof(d2_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(k5_numbers, k6_xcmplx_0(A, B)) => k1_xreal_0(A, B)=k6_xcmplx_0(A, B))  &  ( ~ (r1_xxreal_0(k5_numbers, k6_xcmplx_0(A, B)))  => k1_xreal_0(A, B)=k5_numbers) ) ) ) ) ) ).
fof(d3_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_jordan2c(A, B, C) <=>  (r3_connsp_1(k15_euclid(A), k3_subset_1(u1_struct_0(k15_euclid(A)), B), C) &  ~ (v9_rltopsp1(C, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d3_topreal1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v7_ordinal1(C) =>  ( ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  => k2_topreal1(A, B, C)=k1_rltopsp1(k15_euclid(A), k7_partfun1(u1_struct_0(k15_euclid(A)), B, C), k7_partfun1(u1_struct_0(k15_euclid(A)), B, k1_nat_1(C, 1))))  &  ( ~ ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B))) )  => k2_topreal1(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
fof(d3_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) | r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d4_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k3_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) & r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d5_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k4_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) &  ~ (r2_hidden(D, B)) ) ) ) ) ) ) ) ).
fof(d6_goboard5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 1), k3_finseq_1(A)))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (C=k4_goboard5(A, B) <=>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(k2_goboard2(A))) &  (r2_hidden(k4_tarski(F, G), k2_matrix_0(k2_goboard2(A))) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, B)=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), D, E) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k2_goboard2(A), F, G) &  ( ~ ( (D=F &  (k1_nat_1(E, 1)=G & C=k3_goboard5(k2_goboard2(A), D, E)) ) )  &  ( ~ ( (k1_nat_1(D, 1)=F &  (E=G & C=k3_goboard5(k2_goboard2(A), D, k7_nat_d(E, 1))) ) )  &  ( ~ ( (D=k1_nat_1(F, 1) &  (E=G & C=k3_goboard5(k2_goboard2(A), F, G)) ) )  &  ~ ( (D=F &  (E=k1_nat_1(G, 1) & C=k3_goboard5(k2_goboard2(A), k7_nat_d(D, 1), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_topreal1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v2_topreal1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(k1_nat_1(B, 2), k3_finseq_1(A)))  => k9_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal1(2, A, B), k2_topreal1(2, A, k1_nat_1(B, 1)))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(B, 1)))) ) ) ) ) ) ).
fof(d7_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k6_pscomp_1(A)=k1_pscomp_1(k1_pre_topc(k15_euclid(2), A), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, A))) ) ).
fof(d7_topreal1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v3_topreal1(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( ~ (r1_xxreal_0(C, k1_nat_1(B, 1)))  => r1_xboole_0(k2_topreal1(2, A, B), k2_topreal1(2, A, C))) ) ) ) ) ) ) ) ).
fof(d7_xboole_0, axiom,  (! [A] :  (! [B] :  (r1_xboole_0(A, B) <=> k3_xboole_0(A, B)=k1_xboole_0) ) ) ).
fof(d8_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  (v1_topreal2(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (B=k8_jordan6(A) <=>  (r1_topreal1(k15_euclid(2), k18_pscomp_1(A), k22_pscomp_1(A), B) &  (? [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  &  (r1_topreal1(k15_euclid(2), k22_pscomp_1(A), k18_pscomp_1(A), C) &  (k9_subset_1(u1_struct_0(k15_euclid(2)), B, C)=k2_tarski(k18_pscomp_1(A), k22_pscomp_1(A)) &  (k4_subset_1(u1_struct_0(k15_euclid(2)), B, C)=A &  ~ (r1_xxreal_0(k18_euclid(k1_jordan5c(B, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k18_pscomp_1(A), k22_pscomp_1(A))), k18_euclid(k2_jordan5c(C, k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A), k8_pscomp_1(A)), 2)), k22_pscomp_1(A), k18_pscomp_1(A))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k7_pscomp_1(A)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), A), k3_pscomp_1(k15_euclid(2), k5_pscomp_1, A))) ) ).
fof(d8_topreal1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v4_topreal1(A) <=>  (v2_funct_1(A) &  (r1_xxreal_0(2, k3_finseq_1(A)) &  (v2_topreal1(A) &  (v3_topreal1(A) & v1_topreal1(A)) ) ) ) ) ) ) ).
fof(d9_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k8_pscomp_1(A)=k2_pscomp_1(k1_pre_topc(k15_euclid(2), A), k3_pscomp_1(k15_euclid(2), k4_pscomp_1, A))) ) ).
fof(dt_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_pre_topc(g1_pre_topc(A, B)) & l1_pre_topc(g1_pre_topc(A, B))) ) ) ).
fof(dt_g1_rltopsp1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, 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)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (v5_rltopsp1(g1_rltopsp1(A, B, C, D, E)) & l1_rltopsp1(g1_rltopsp1(A, B, C, D, E))) ) ) ).
fof(dt_k10_finseq_1, axiom, $true).
fof(dt_k10_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k10_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k11_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k11_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k12_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k12_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k13_finseq_1, axiom, $true).
fof(dt_k13_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k13_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k14_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k14_pscomp_1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k15_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) & l1_rltopsp1(k15_euclid(A))) ) ) ).
fof(dt_k15_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k15_pscomp_1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k16_finseq_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k16_finseq_1(A, B)) &  (v1_funct_1(k16_finseq_1(A, B)) & v1_finseq_1(k16_finseq_1(A, B))) ) ) ) ).
fof(dt_k16_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k16_pscomp_1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k17_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_xreal_0(k17_euclid(A))) ) ).
fof(dt_k17_finseq_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_finseq_1(C, A))  => m2_finseq_1(k17_finseq_1(A, B, C), A)) ) ).
fof(dt_k18_euclid, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_xreal_0(k18_euclid(A))) ) ).
fof(dt_k18_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k18_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k19_euclid, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => m1_subset_1(k19_euclid(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k19_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k19_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_finseq_1, axiom, $true).
fof(dt_k1_finseq_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(B, A))  => m2_finseq_1(k1_finseq_5(A, B, C), A)) ) ).
fof(dt_k1_finseq_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) & m1_subset_1(C, A)) )  => m2_finseq_1(k1_finseq_6(A, B, C), A)) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_gobrd13, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k1_gobrd13(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k1_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  => m2_finseq_1(k1_jordan1e(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k1_jordan3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m1_subset_1(k1_jordan3(A, B), k4_ordinal1)) ) ).
fof(dt_k1_jordan5c, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) & m1_subset_1(D, u1_struct_0(k15_euclid(2)))) ) )  => m1_subset_1(k1_jordan5c(A, B, C, D), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k1_jordan8, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B))  =>  (v1_matrix_0(k1_jordan8(A, B)) & m2_finseq_1(k1_jordan8(A, B), k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(dt_k1_jordan9, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k1_jordan9(A, B)))  &  ( ~ (v3_funct_1(k1_jordan9(A, B)))  &  (v1_finseq_6(k1_jordan9(A, B), u1_struct_0(k15_euclid(2))) &  (v1_topreal1(k1_jordan9(A, B)) &  (v2_topreal1(k1_jordan9(A, B)) &  (v1_goboard5(k1_jordan9(A, B)) &  (v2_goboard5(k1_jordan9(A, B)) &  (v1_sprect_2(k1_jordan9(A, B)) & m2_finseq_1(k1_jordan9(A, B), u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_matrix_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_matrix_0(A)) ) )  => v7_ordinal1(k1_matrix_0(A))) ) ).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k1_newton, axiom, $true).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_pre_topc, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_pre_topc(k1_pre_topc(A, B)) & m1_pre_topc(k1_pre_topc(A, B), A)) ) ) ).
fof(dt_k1_pscomp_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  => v1_xreal_0(k1_pscomp_1(A, B))) ) ).
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_rltopsp1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_rltopsp1(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xreal_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k20_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k20_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k21_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k21_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k22_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k22_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k23_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k23_pscomp_1(A), u1_struct_0(k15_euclid(2)))) ) ).
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_finseq_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m2_finseq_1(k2_finseq_4(A, B, C), A)) ) ).
fof(dt_k2_finseq_6, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  =>  (v1_relat_1(k2_finseq_6(A, B, C)) &  (v1_funct_1(k2_finseq_6(A, B, C)) & v1_finseq_1(k2_finseq_6(A, B, C))) ) ) ) ).
fof(dt_k2_goboard2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (v1_matrix_0(k2_goboard2(A)) & m2_finseq_1(k2_goboard2(A), k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(dt_k2_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => m1_subset_1(k2_goboard9(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k2_gobrd13, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k2_gobrd13(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k2_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  => m2_finseq_1(k2_jordan1e(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k2_jordan2c, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))))  => m1_subset_1(k2_jordan2c(A, B), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k2_jordan3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m2_finseq_1(k2_jordan3(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k2_jordan5c, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) & m1_subset_1(D, u1_struct_0(k15_euclid(2)))) ) )  => m1_subset_1(k2_jordan5c(A, B, C, D), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k2_matrix_0, axiom, $true).
fof(dt_k2_pscomp_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  => v1_xreal_0(k2_pscomp_1(A, B))) ) ).
fof(dt_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => m1_subset_1(k2_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k2_seq_4, axiom,  (! [A] :  (v3_membered(A) => v1_xreal_0(k2_seq_4(A))) ) ).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_topreal1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (m1_finseq_1(B, u1_struct_0(k15_euclid(A))) & v7_ordinal1(C)) )  => m1_subset_1(k2_topreal1(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
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_6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => m2_finseq_1(k3_finseq_6(A, B, C, D), A)) ) ).
fof(dt_k3_goboard5, axiom,  (! [A, B, C] :  ( ( (v1_matrix_0(A) & m1_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  &  (v7_ordinal1(B) & v7_ordinal1(C)) )  => m1_subset_1(k3_goboard5(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k3_goboard9, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => m1_subset_1(k3_goboard9(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k3_gobrd13, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k3_gobrd13(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k3_jordan3, axiom,  (! [A, B] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => m2_finseq_1(k3_jordan3(A, B), u1_struct_0(k15_euclid(2)))) ) ).
fof(dt_k3_matrix_0, axiom,  (! [A, B, C, D] :  ( ( (v1_matrix_0(B) & m1_finseq_1(B, k3_finseq_2(A)))  &  (v7_ordinal1(C) & v7_ordinal1(D)) )  => m1_subset_1(k3_matrix_0(A, B, C, D), A)) ) ).
fof(dt_k3_pscomp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_funct_1(k3_pscomp_1(A, B, C)) &  (v1_funct_2(k3_pscomp_1(A, B, C), u1_struct_0(k1_pre_topc(A, C)), k1_numbers) & m1_subset_1(k3_pscomp_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A, C)), k1_numbers)))) ) ) ) ).
fof(dt_k3_seq_4, axiom,  (! [A] :  (v3_membered(A) => v1_xreal_0(k3_seq_4(A))) ) ).
fof(dt_k3_subset_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k3_subset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k3_topreal1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_finseq_1(B, u1_struct_0(k15_euclid(A))))  => m1_subset_1(k3_topreal1(A, B), k1_zfmisc_1(u1_struct_0(k15_euclid(A))))) ) ).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => m1_subset_1(k4_card_1(A), k4_ordinal1)) ) ).
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_finseq_4, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k4_finseq_4(A, B), k4_ordinal1)) ) ).
fof(dt_k4_goboard5, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  & v7_ordinal1(B))  => m1_subset_1(k4_goboard5(A, B), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k4_gobrd13, axiom,  (! [A, B, C] :  ( (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m1_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k4_gobrd13(A, B, C), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_pscomp_1, axiom,  (v1_funct_1(k4_pscomp_1) &  (v1_funct_2(k4_pscomp_1, u1_struct_0(k15_euclid(2)), k1_numbers) & m1_subset_1(k4_pscomp_1, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), k1_numbers)))) ) ).
fof(dt_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k4_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => m1_subset_1(k4_topreal1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
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_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_pscomp_1, axiom,  (v1_funct_1(k5_pscomp_1) &  (v1_funct_2(k5_pscomp_1, u1_struct_0(k15_euclid(2)), k1_numbers) & m1_subset_1(k5_pscomp_1, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)), k1_numbers)))) ) ).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k5_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => m1_subset_1(k5_topreal1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k6_finseq_6, 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(k6_finseq_6(A, B)) &  (v1_funct_1(k6_finseq_6(A, B)) & v1_finseq_1(k6_finseq_6(A, B))) ) ) ) ).
fof(dt_k6_jordan6, axiom,  (! [A] :  (v1_xreal_0(A) => m1_subset_1(k6_jordan6(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k6_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k6_pscomp_1(A))) ) ).
fof(dt_k6_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => m1_subset_1(k6_topreal1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_finseq_6, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => m2_finseq_1(k7_finseq_6(A, B, C), A)) ) ).
fof(dt_k7_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k7_nat_d(A, B), k4_ordinal1)) ) ).
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_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k7_pscomp_1(A))) ) ).
fof(dt_k7_relat_1, axiom, $true).
fof(dt_k7_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k7_relset_1(A, B, C, D), k1_zfmisc_1(B))) ) ).
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_k7_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => m1_subset_1(k7_topreal1(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_k8_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( ~ (v1_xboole_0(k8_jordan6(A)))  & m1_subset_1(k8_jordan6(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(dt_k8_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k8_pscomp_1(A))) ) ).
fof(dt_k9_jordan6, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) =>  ( ~ (v1_xboole_0(k9_jordan6(A)))  & m1_subset_1(k9_jordan6(A), k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ).
fof(dt_k9_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k9_pscomp_1(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_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => l1_struct_0(A)) ) ).
fof(dt_l1_rltopsp1, axiom,  (! [A] :  (l1_rltopsp1(A) =>  (l1_rlvect_1(A) & l1_pre_topc(A)) ) ) ).
fof(dt_l1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_1(A) => l2_algstr_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_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_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, A) => l1_pre_topc(B)) ) ) ) ).
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_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_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_u1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_1(A) =>  (v1_funct_1(u1_rlvect_1(A)) &  (v1_funct_2(u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_rlvect_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_algstr_0, axiom,  (? [A] : l1_algstr_0(A)) ).
fof(existence_l1_pre_topc, axiom,  (? [A] : l1_pre_topc(A)) ).
fof(existence_l1_rltopsp1, axiom,  (? [A] : l1_rltopsp1(A)) ).
fof(existence_l1_rlvect_1, axiom,  (? [A] : l1_rlvect_1(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_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_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] : m1_pre_topc(B, A)) ) ) ).
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(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_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_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_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(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc11_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(k7_relat_1(A, B))) ) ) ).
fof(fc11_sppol_2, axiom,  (! [A, B] :  ( ( (v1_topreal1(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => v1_topreal1(k1_finseq_5(u1_struct_0(k15_euclid(2)), 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(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_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_nat_1, axiom,  (! [A, B] :  ( ( ~ (v8_ordinal1(A))  &  ~ (v8_ordinal1(B)) )  => v1_setfam_1(k2_tarski(A, B))) ) ).
fof(fc12_sprect_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k2_goboard9(A))) ) ) ).
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(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_sppol_2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_ordinal1) &  (m1_subset_1(B, u1_struct_0(k15_euclid(A))) & m1_subset_1(C, u1_struct_0(k15_euclid(A)))) )  => v2_compts_1(k1_rltopsp1(k15_euclid(A), B, C), k15_euclid(A))) ) ).
fof(fc13_sprect_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k3_goboard9(A))) ) ) ).
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_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
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_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_finseq_1(k1_finseq_1(A))) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(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_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_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_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_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_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_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_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_finseq_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v3_finseq_1(B))  => v3_finseq_1(k2_xboole_0(A, B))) ) ).
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_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_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_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc1_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k1_finseq_1(A))) ) ).
fof(fc1_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc1_gobrd11, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (v1_xboole_0(k3_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, 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_jordan1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k4_topreal1(A), k15_euclid(2))) ) ).
fof(fc1_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k1_jordan1e(A, B))) ) ) ).
fof(fc1_jordan1j, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k6_finseq_6(A, B)) &  ( ~ (v1_xboole_0(k6_finseq_6(A, B)))  &  (v1_funct_1(k6_finseq_6(A, B)) & v1_finseq_1(k6_finseq_6(A, B))) ) ) ) ) ).
fof(fc1_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v5_rltopsp1(k15_euclid(A)) &  (v6_rltopsp1(k15_euclid(A)) & v7_rltopsp1(k15_euclid(A))) ) ) ) ).
fof(fc1_jordan8, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  & v7_ordinal1(B))  =>  ( ~ (v3_relat_1(k1_jordan8(A, B)))  &  (v1_matrix_0(k1_jordan8(A, B)) &  (v1_goboard1(k1_jordan8(A, B)) & v2_goboard1(k1_jordan8(A, B))) ) ) ) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  ~ (v1_xboole_0(u1_pre_topc(A))) ) ) ).
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_revrot_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ( ~ (v7_struct_0(k15_euclid(A)))  & v5_rltopsp1(k15_euclid(A))) ) ) ).
fof(fc1_sppol_2, axiom,  (! [A, B] :  ( ( (v2_topreal1(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  & v7_ordinal1(B))  => v2_topreal1(k16_finseq_1(B, A))) ) ).
fof(fc1_sprect_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v1_zfmisc_1(B))  & m1_finseq_1(B, u1_struct_0(k15_euclid(A)))) )  =>  ~ (v1_xboole_0(k3_topreal1(A, B))) ) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_topreal1, axiom,  (! [A] :  (v7_ordinal1(A) => v4_funct_1(u1_struct_0(k15_euclid(A)))) ) ).
fof(fc1_topreal6, axiom,  (! [A, B] :  ( (l1_pre_topc(A) &  (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v8_struct_0(k1_pre_topc(A, B)) & v1_pre_topc(k1_pre_topc(A, B))) ) ) ).
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_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_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_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_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_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_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_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(fc28_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k16_finseq_1(k5_numbers, A)) &  (v1_funct_1(k16_finseq_1(k5_numbers, A)) &  (v1_xboole_0(k16_finseq_1(k5_numbers, A)) & v1_finseq_1(k16_finseq_1(k5_numbers, A))) ) ) ) ) ).
fof(fc29_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  =>  (v1_relat_1(k16_finseq_1(1, A)) &  (v1_funct_1(k16_finseq_1(1, A)) &  (v3_card_1(k16_finseq_1(1, A), 1) & v1_finseq_1(k16_finseq_1(1, A))) ) ) ) ) ).
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_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k1_finseq_1(A))) ) ) ).
fof(fc2_finseq_5, axiom,  (! [A, B] :  ~ (v1_zfmisc_1(k10_finseq_1(A, B))) ) ).
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_jordan1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k5_topreal1(A), k15_euclid(2))) ) ).
fof(fc2_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  ~ (v1_xboole_0(k2_jordan1e(A, B))) ) ) ).
fof(fc2_jordan1g, axiom,  (! [A, B] :  ( ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  => v2_goboard5(k1_jordan1e(A, B))) ) ).
fof(fc2_jordan8, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  =>  (v1_matrix_0(k1_jordan8(A, B)) &  (v3_goboard1(k1_jordan8(A, B)) & v4_goboard1(k1_jordan8(A, B))) ) ) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_pre_topc, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ( ~ (v2_struct_0(k1_pre_topc(A, B)))  & v1_pre_topc(k1_pre_topc(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_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) )  => v1_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(fc2_sprect_1, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) => v2_compts_1(k3_topreal1(2, A), k15_euclid(2))) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_topreal1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v8_pre_topc(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A))) ) ) ).
fof(fc2_topreal6, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => v2_connsp_1(k1_rltopsp1(k15_euclid(2), A, B), k15_euclid(2))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc30_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v1_relat_1(k16_finseq_1(B, A)) &  (v1_funct_1(k16_finseq_1(B, A)) &  ( ~ (v1_xboole_0(k16_finseq_1(B, A)))  & v1_finseq_1(k16_finseq_1(B, A))) ) ) ) ) ).
fof(fc31_finseq_1, axiom,  (! [A] : v4_funct_1(k13_finseq_1(A))) ).
fof(fc31_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc32_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k7_xcmplx_0(B, A))) ) ) ).
fof(fc33_finseq_1, axiom,  (! [A, B] : v3_card_1(k10_finseq_1(A, B), 2)) ).
fof(fc33_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc34_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
fof(fc36_finseq_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v4_finseq_1(B))  => v4_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc37_finseq_1, axiom,  (! [A] : v4_finseq_1(k13_finseq_1(A))) ).
fof(fc37_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k1_xreal_0(A, B))) ) ).
fof(fc38_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  ( ~ (v3_xxreal_0(k1_xreal_0(A, B)))  & v1_xreal_0(k1_xreal_0(A, B))) ) ) ).
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(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_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k1_finseq_1(A))) ) ).
fof(fc3_finseq_5, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  ( ~ (v1_xboole_0(B))  &  (v2_funct_1(C) & m1_finseq_1(C, B)) ) )  =>  (v1_relat_1(k16_finseq_1(A, C)) &  (v1_funct_1(k16_finseq_1(A, C)) &  (v2_funct_1(k16_finseq_1(A, C)) & v1_finseq_1(k16_finseq_1(A, C))) ) ) ) ) ).
fof(fc3_finseq_6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v7_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, k2_finseq_1(B))) & v1_finseq_1(k5_relat_1(A, k2_finseq_1(B)))) ) ) ).
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_jordan1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k6_topreal1(A), k15_euclid(2))) ) ).
fof(fc3_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  (v2_funct_1(k1_jordan1e(A, B)) &  (v1_topreal1(k1_jordan1e(A, B)) &  (v2_topreal1(k1_jordan1e(A, B)) & v3_topreal1(k1_jordan1e(A, B))) ) ) ) ) ).
fof(fc3_jordan1g, axiom,  (! [A, B] :  ( ( (v2_connsp_1(A, k15_euclid(2)) &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  & v7_ordinal1(B))  => v2_goboard5(k2_jordan1e(A, B))) ) ).
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_pre_topc, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v2_pre_topc(k1_pre_topc(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_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_goboard5(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) )  => v1_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(fc3_sppol_2, axiom,  (! [A, B] :  ( ( (v2_topreal1(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => v2_topreal1(k1_finseq_5(u1_struct_0(k15_euclid(2)), A, B))) ) ).
fof(fc3_sprect_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  => v1_topreal2(k3_topreal1(2, A))) ) ).
fof(fc3_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(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(fc42_finseq_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v6_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k16_finseq_1(A, B)) &  (v1_funct_1(k16_finseq_1(A, B)) &  (v6_valued_0(k16_finseq_1(A, B)) & v1_finseq_1(k16_finseq_1(A, B))) ) ) ) ) ).
fof(fc43_finseq_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k16_finseq_1(A, B)) &  (v5_relat_1(k16_finseq_1(A, B), k4_ordinal1) &  (v1_funct_1(k16_finseq_1(A, B)) & v1_finseq_1(k16_finseq_1(A, B))) ) ) ) ) ).
fof(fc48_finseq_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k16_finseq_1(A, B)) &  (v1_funct_1(k16_finseq_1(A, B)) &  (v3_valued_0(k16_finseq_1(A, B)) & v1_finseq_1(k16_finseq_1(A, B))) ) ) ) ) ).
fof(fc49_finseq_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k16_finseq_1(A, B)) &  (v5_relat_1(k16_finseq_1(A, B), k1_numbers) &  (v1_funct_1(k16_finseq_1(A, B)) & v1_finseq_1(k16_finseq_1(A, B))) ) ) ) ) ).
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_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_card_1(k1_finseq_1(A), A)) ) ).
fof(fc4_finseq_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, A))  & m1_subset_1(C, A)) )  =>  ~ (v1_xboole_0(k1_finseq_6(A, B, C))) ) ) ).
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_jordan1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) => v1_convex1(k7_topreal1(A), k15_euclid(2))) ) ).
fof(fc4_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  =>  (v2_funct_1(k2_jordan1e(A, B)) &  (v1_topreal1(k2_jordan1e(A, B)) &  (v2_topreal1(k2_jordan1e(A, B)) & v3_topreal1(k2_jordan1e(A, B))) ) ) ) ) ).
fof(fc4_jordan2c, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => v2_tops_1(k1_rltopsp1(k15_euclid(2), A, B), k15_euclid(2))) ) ).
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_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_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => v2_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(fc4_sppol_2, axiom,  (! [A, B] :  ( ( (v3_topreal1(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  & v7_ordinal1(B))  => v3_topreal1(k16_finseq_1(B, A))) ) ).
fof(fc4_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v1_xboole_0(k4_topreal1(A))) ) ) ).
fof(fc4_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(A, B))) ) ) ).
fof(fc5_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v2_struct_0(k15_euclid(A)))  & v5_rltopsp1(k15_euclid(A))) ) ) ).
fof(fc5_finseq_5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (v2_funct_1(C) & m1_finseq_1(C, A)) ) )  => v2_funct_1(k1_finseq_5(A, C, B))) ) ).
fof(fc5_finseq_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  ( ~ (v1_xboole_0(C))  &  (v1_finseq_6(C, A) & m1_finseq_1(C, A)) ) ) )  => v1_finseq_6(k1_finseq_6(A, C, B), A)) ) ).
fof(fc5_goboard2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  ( ~ (v3_relat_1(k2_goboard2(A)))  &  (v1_matrix_0(k2_goboard2(A)) &  (v1_goboard1(k2_goboard2(A)) &  (v2_goboard1(k2_goboard2(A)) &  (v3_goboard1(k2_goboard2(A)) & v4_goboard1(k2_goboard2(A))) ) ) ) ) ) ) ).
fof(fc5_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  => v4_topreal1(k1_jordan1e(A, B))) ) ).
fof(fc5_jordan2c, axiom,  (! [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) => v2_tops_1(k3_topreal1(2, A), k15_euclid(2))) ) ).
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_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_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v2_goboard5(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) )  => v2_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(fc5_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v1_xboole_0(k5_topreal1(A))) ) ) ).
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(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_pre_topc(k15_euclid(A)) &  (v13_algstr_0(k15_euclid(A)) &  (v2_rlvect_1(k15_euclid(A)) &  (v3_rlvect_1(k15_euclid(A)) &  (v4_rlvect_1(k15_euclid(A)) &  (v5_rlvect_1(k15_euclid(A)) &  (v6_rlvect_1(k15_euclid(A)) &  (v7_rlvect_1(k15_euclid(A)) &  (v8_rlvect_1(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A))) ) ) ) ) ) ) ) ) ) ) ).
fof(fc6_finseq_6, axiom,  (! [A, B, C] :  ( ( ~ (v1_zfmisc_1(A))  &  (m1_subset_1(B, A) &  ( ~ (v3_funct_1(C))  &  (v1_finseq_6(C, A) & m1_finseq_1(C, A)) ) ) )  =>  ~ (v3_funct_1(k1_finseq_6(A, C, B))) ) ) ).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(fc6_jordan1e, axiom,  (! [A, B] :  ( ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  & v7_ordinal1(B))  => v4_topreal1(k2_jordan1e(A, B))) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & v2_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(fc6_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_revrot_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v3_funct_1(B))  &  ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) &  (v1_sprect_2(B) & m1_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) ) )  => v1_sprect_2(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))) ) ).
fof(fc6_sppol_2, axiom,  (! [A, B] :  ( ( (v3_topreal1(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  & m1_subset_1(B, u1_struct_0(k15_euclid(2))))  => v3_topreal1(k1_finseq_5(u1_struct_0(k15_euclid(2)), A, B))) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v1_xboole_0(k6_topreal1(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(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_euclid, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v2_monoid_0(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A))) ) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_jordan2c, axiom,  (! [A] :  ( (v4_pre_topc(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v3_pre_topc(k2_jordan2c(2, A), k15_euclid(2))) ) ).
fof(fc7_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  ( ~ (v2_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))  & v1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc7_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v1_xboole_0(k7_topreal1(A))) ) ) ).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_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_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_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  => v2_connsp_1(k2_jordan2c(2, A), k15_euclid(2))) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_pre_topc, axiom,  (! [A, B] :  ( (l1_pre_topc(A) &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v2_struct_0(k1_pre_topc(A, B)) & v1_pre_topc(k1_pre_topc(A, B))) ) ) ).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc8_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k7_xcmplx_0(A, B))) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_jordan2c, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ (v1_xboole_0(k2_jordan2c(2, A))) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_pre_topc, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( ~ (v2_struct_0(g1_pre_topc(A, B)))  & v1_pre_topc(g1_pre_topc(A, B))) ) ) ).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc9_sppol_2, axiom,  (! [A, B] :  ( ( (v1_topreal1(A) & m1_finseq_1(A, u1_struct_0(k15_euclid(2))))  & v7_ordinal1(B))  => v1_topreal1(k16_finseq_1(B, A))) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
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(free_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C, D] :  (g1_pre_topc(A, B)=g1_pre_topc(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(free_g1_rltopsp1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, 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)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(A)))) ) )  =>  (! [F, G, H, I, J] :  (g1_rltopsp1(A, B, C, D, E)=g1_rltopsp1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
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_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, B)=B) ) ).
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(involutiveness_k3_subset_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k3_subset_1(A, k3_subset_1(A, B))=B) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(irreflexivity_r1_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (r1_subset_1(A, A)) ) ) ).
fof(irreflexivity_r2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (r2_subset_1(A, A)) ) ) ).
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(projectivity_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(k4_card_1(A))=k4_card_1(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_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc10_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B, A)) ) ) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc11_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  (v2_struct_0(A) & v1_pre_topc(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_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  (v2_struct_0(A) &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
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(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(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(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_5, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc1_finseq_6, 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_finset_1(B) &  (v3_card_1(B, 1) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_finseq_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_jordan1g, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_zfmisc_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc1_jordan1j, axiom,  (? [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  ( ~ (v8_ordinal1(A))  &  (v1_funct_1(A) &  (v2_funct_1(A) &  ( ~ (v3_funct_1(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) &  (v4_topreal1(A) &  (v1_goboard5(A) & v2_goboard5(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) & v1_pre_topc(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_sppol_2, axiom,  (? [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k15_euclid(2))) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v4_topreal1(A)) ) ) ) ) ) ) ) ) ).
fof(rc1_sprect_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v3_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc1_sprect_2, axiom,  (? [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  ( ~ (v8_ordinal1(A))  &  (v1_funct_1(A) &  ( ~ (v3_funct_1(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & v1_sprect_2(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_topreal2, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_topreal2(A)) ) ) ) ).
fof(rc1_topreal6, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  ( ~ (v1_xboole_0(A))  & v1_convex1(A, k15_euclid(2))) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(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_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_finseq_5, 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_xboole_0(B))  &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_finseq_6, 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_zfmisc_1(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_finseq_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(rc2_sppol_2, axiom,  (? [A] :  (m1_finseq_1(A, u1_struct_0(k15_euclid(2))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_struct_0(k15_euclid(2))) &  ( ~ (v1_zfmisc_1(A))  &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v1_topreal1(A) &  (v2_topreal1(A) & v3_topreal1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_sprect_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) &  ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ~ (v2_sppol_1(A)) ) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
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_finseq_5, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  ( ~ (v1_zfmisc_1(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_pre_topc(B, A) & v1_pre_topc(B)) ) ) ) ).
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_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_finseq_6, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(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) &  ( ~ (v3_funct_1(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v1_finseq_6(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
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_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (? [B] :  (m1_pre_topc(B, A) &  ( ~ (v2_struct_0(B))  & v1_pre_topc(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_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_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_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
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_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_pre_topc(B, A) &  (v1_pre_topc(B) & v2_pre_topc(B)) ) ) ) ) ).
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_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_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_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B, A)) ) ) ) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc7_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v4_pre_topc(B, A)) ) ) ) ) ).
fof(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_ordinal1, axiom,  (? [A] : v8_ordinal1(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_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v7_pre_topc(A)) ) ) ) ).
fof(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(rd2_finseq_1, axiom,  (! [A, B] : k1_funct_1(k10_finseq_1(A, B), 1)=A) ).
fof(rd3_finseq_1, axiom,  (! [A, B] : k1_funct_1(k10_finseq_1(A, B), 2)=B) ).
fof(rd7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  => k3_finseq_1(k16_finseq_1(1, A))=1) ) ).
fof(redefinition_k17_finseq_1, axiom,  (! [A, B, C] :  ( (v7_ordinal1(B) & m1_finseq_1(C, A))  => k17_finseq_1(A, B, C)=k16_finseq_1(B, C)) ) ).
fof(redefinition_k19_euclid, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => k19_euclid(A, B)=k10_finseq_1(A, B)) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
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_finseq_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k2_finseq_4(A, B, C)=k10_finseq_1(B, C)) ) ).
fof(redefinition_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k2_relset_1(A, B)=k10_xtuple_0(B)) ) ).
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_6, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (m1_finseq_1(B, A) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => k3_finseq_6(A, B, C, D)=k2_finseq_6(B, C, D)) ) ).
fof(redefinition_k3_pscomp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  => k3_pscomp_1(A, B, C)=k5_relat_1(B, C)) ) ).
fof(redefinition_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(A)=k1_card_1(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_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k7_finseq_6, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => k7_finseq_6(A, B, C)=k6_finseq_6(B, C)) ) ).
fof(redefinition_k7_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k7_nat_d(A, B)=k1_xreal_0(A, B)) ) ).
fof(redefinition_k7_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k7_relset_1(A, B, C, D)=k7_relat_1(C, D)) ) ).
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_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_r1_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (r1_subset_1(A, B) <=> r1_xboole_0(A, B)) ) ) ).
fof(redefinition_r2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (r2_subset_1(A, B) <=> r1_xboole_0(A, B)) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
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_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_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
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_rn1d2, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d4, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn2d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d2, axiom, r1_xxreal_0(0, k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d4, axiom, r1_xxreal_0(0, k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn4d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(4, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d3, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d4, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm3d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm3d4, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 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_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_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
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_rn1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn2d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d2, axiom, r1_xxreal_0(1, k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn4d3, axiom, r1_xxreal_0(1, k7_xcmplx_0(4, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm3d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm3d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm4d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(4), 3))) ).
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_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_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_rn1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d4, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn2d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d4, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn4d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(4, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d4, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm3d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
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_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_rm1, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(1))) ).
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_rn1d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn2d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn4d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(4, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm3d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm3d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm4d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(4), 3))) ).
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_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_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_rn1d2, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d3, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn2d3, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn3d2, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn3d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn4d3, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(4, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rnm1d2, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rnm1d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rnm3d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
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_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_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_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d4, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn2d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn3d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn3d4, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn4d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(4, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d4, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm3d2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm4d3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(4), 3))) ).
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_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_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__rm2_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rn1d4, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
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_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_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__rm3_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rn1d4, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rn3d4, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d4, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 4))).
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_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_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__rm4_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(4), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm3d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm3d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r4, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn2d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn4d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(4, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r1, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r3, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r4, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm3d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 3), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r4, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_rn4d3, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(4, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm3d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rnm3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm3d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
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_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_rn1d2_rn1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d3_rn1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d4_rn1d4, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn4d3_rn4d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(4, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d3_rnm1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm2d3_rnm2d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
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_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_rn1d2_rn3d2, axiom, k2_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(1, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
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_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_rnm1d2_rn3d2, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm2d3_rn4d3, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
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__r4_r0_r4, axiom, k2_xcmplx_0(4, 0)=4).
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__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
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_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_rn1d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d4_rnm3d4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn4d3_rn1d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(4, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d3_rnm4d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
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_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_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_rn1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
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_rm1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
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__rn1d2_r0_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d4_rn3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 4))=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=2).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_r0_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), 1)=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rm1_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_r0_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), 0)=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rm1_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(3, 4))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d2_rnm1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), 0)=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(4, 3))=2).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=2).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))=3).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn1d4_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 4))=1).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 4))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d2_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d2_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=0).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_r0_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), 0)=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_rm2_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(2, 3))=2).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d4_rnm1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d4_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r0_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rm1_rnm4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn4d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(4, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 1)=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d2_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 4))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(3, 4))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d2_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm3d4_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r0_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 1)=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r2_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 2)=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn1d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(2, 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm2d3_rnm4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm4d3_rm2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d4_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 1)=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn1d2_rnm1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn1d4_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d2_rn3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(3, 4))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm3d4_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
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_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_rn1d2_rnm1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4, axiom, k6_xcmplx_0(0, k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn4d3_rnm4d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d3_rn1d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm3d4_rn3d4, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
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_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_rn1d2_rn1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 4))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4, axiom, k6_xcmplx_0(1, k7_xcmplx_0(3, 4))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
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_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_rn1d2_rn3d2, axiom, k6_xcmplx_0(2, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3, axiom, k6_xcmplx_0(2, k7_xcmplx_0(2, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2, axiom, k6_xcmplx_0(2, k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3, axiom, k6_xcmplx_0(2, k7_xcmplx_0(4, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom, k6_xcmplx_0(3, 0)=3).
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_rm1_r4, axiom, k6_xcmplx_0(3, k4_xcmplx_0(1))=4).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2, axiom, k6_xcmplx_0(3, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r4_r0_r4, axiom, k6_xcmplx_0(4, 0)=4).
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__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
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_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_rn1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(1, 3)).
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_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_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_rnm1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm4d3_rnm2d3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 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_r1_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(4)).
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_rnm3d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
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_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__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 2)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=2).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), 1)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(4, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), 0)=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=1).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 0)=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 2)=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm4d3_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=2).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 3)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 4))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=2).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=3).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), 0)=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d2_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=1).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm3d4_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), 0)=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), 1)=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), 2)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(1, 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn2d3_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(4, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rnm2d3_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=2).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm4d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k4_xcmplx_0(1))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(3, 4))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_r0_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(1))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(2))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(4, 3))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm4d3_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r0_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d4_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k4_xcmplx_0(1))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 4))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn3d4_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d2_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rm1_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k4_xcmplx_0(2))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rn2d3_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(2, 3))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(1, 2)=k7_xcmplx_0(1, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3, axiom, k7_xcmplx_0(1, 3)=k7_xcmplx_0(1, 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4, axiom, k7_xcmplx_0(1, 4)=k7_xcmplx_0(1, 4)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom, k7_xcmplx_0(1, k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3, axiom, k7_xcmplx_0(1, k4_xcmplx_0(3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4, axiom, k7_xcmplx_0(1, k4_xcmplx_0(4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 2))=2).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 3))=3).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 4))=4).
fof(rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(2, 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(3, 4))=k7_xcmplx_0(4, 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn4d3_rn3d4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(4, 3))=k7_xcmplx_0(3, 4)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k4_xcmplx_0(4)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(2, 1)=2).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(2, 2)=1).
fof(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3, axiom, k7_xcmplx_0(2, 3)=k7_xcmplx_0(2, 3)).
fof(rqRealDiv__k7_xcmplx_0__r2_r4_rn1d2, axiom, k7_xcmplx_0(2, 4)=k7_xcmplx_0(1, 2)).
fof(rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4, axiom, k7_xcmplx_0(2, k7_xcmplx_0(1, 2))=4).
fof(rqRealDiv__k7_xcmplx_0__r2_rn4d3_rn3d2, axiom, k7_xcmplx_0(2, k7_xcmplx_0(4, 3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r3_r1_r3, axiom, k7_xcmplx_0(3, 1)=3).
fof(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2, axiom, k7_xcmplx_0(3, 2)=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r3_r3_r1, axiom, k7_xcmplx_0(3, 3)=1).
fof(rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4, axiom, k7_xcmplx_0(3, 4)=k7_xcmplx_0(3, 4)).
fof(rqRealDiv__k7_xcmplx_0__r4_r2_r2, axiom, k7_xcmplx_0(4, 2)=2).
fof(rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3, axiom, k7_xcmplx_0(4, 3)=k7_xcmplx_0(4, 3)).
fof(rqRealDiv__k7_xcmplx_0__r4_r4_r1, axiom, k7_xcmplx_0(4, 4)=1).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm3_r4_rnm3d4, axiom, k7_xcmplx_0(k4_xcmplx_0(3), 4)=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiv__k7_xcmplx_0__rn1d2_r2_rn1d4, axiom, k7_xcmplx_0(k7_xcmplx_0(1, 2), 2)=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=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_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__r0_rn1d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d4_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 4))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn2d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(2, 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn3d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(3, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rnm1d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rnm2d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
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_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_rn1d2_rn1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4, axiom, k3_xcmplx_0(1, k7_xcmplx_0(3, 4))=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__r1_rn4d3_rn4d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(4, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm3d2_rnm3d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm3d4_rnm3d4, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
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_rm2_rm4, axiom, k3_xcmplx_0(2, k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 2))=1).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(2, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__r2_rn3d2_r3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(3, 2))=3).
fof(rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2, axiom, k3_xcmplx_0(2, k7_xcmplx_0(3, 4))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm3d4_rnm3d2, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
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_rn1d2_rn3d2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d3_r1, axiom, k3_xcmplx_0(3, k7_xcmplx_0(1, 3))=1).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4, axiom, k3_xcmplx_0(3, k7_xcmplx_0(1, 4))=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__r3_rn2d3_r2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(2, 3))=2).
fof(rqRealMult__k3_xcmplx_0__r3_rn4d3_r4, axiom, k3_xcmplx_0(3, k7_xcmplx_0(4, 3))=4).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r3_rnm4d3_rm4, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(4), 3))=k4_xcmplx_0(4)).
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_rn1d2_r2, axiom, k3_xcmplx_0(4, k7_xcmplx_0(1, 2))=2).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3, axiom, k3_xcmplx_0(4, k7_xcmplx_0(1, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d4_r1, axiom, k3_xcmplx_0(4, k7_xcmplx_0(1, 4))=1).
fof(rqRealMult__k3_xcmplx_0__r4_rn3d4_r3, axiom, k3_xcmplx_0(4, k7_xcmplx_0(3, 4))=3).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2, axiom, k3_xcmplx_0(4, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3, axiom, k3_xcmplx_0(4, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1, axiom, k3_xcmplx_0(4, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3, axiom, k3_xcmplx_0(4, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k4_xcmplx_0(3)).
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_rm2_r4, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=4).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn3d4_rnm3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm2d3_rn4d3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=3).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm3d4_rn3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(3, 2)).
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_rn1d2_rnm3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(2, 3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn4d3_rm4, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(4, 3))=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=1).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=2).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm4d3_r4, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=4).
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_rn1d2_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k7_xcmplx_0(1, 2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d3_rnm4d3, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k7_xcmplx_0(1, 4))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k7_xcmplx_0(3, 4))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=2).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d3_rn4d3, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=1).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=3).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 2)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 3)=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r4_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 4)=2).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(3))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(4))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn2d3_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm2d3_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm4d3_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 1)=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 2)=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 3)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 4)=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm4_rnm4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(4))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn3d2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn3d4_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 4))=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm3d2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm3d4_rnm1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), 1)=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), 2)=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), 3)=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r4_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), 4)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(3))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(4))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rnm4d3_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 1)=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 2)=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 3)=2).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rm2_rnm4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(3, 2))=1).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn3d4_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(3, 4))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm3d4_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 1)=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r2_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 2)=3).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn1d2_rn3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(2, 3))=1).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(4, 3))=2).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d2_rnm3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), 1)=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), 2)=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d4_r4_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), 4)=3).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k4_xcmplx_0(4))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rn1d3_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rn2d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(4, 3))=1).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rnm2d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), 1)=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__rn4d3_r3_r4, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), 3)=4).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rm3_rm4, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), k4_xcmplx_0(3))=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rn1d2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rn3d2_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(3, 2))=2).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(3, 4))=1).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm1d2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d2_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 3)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 4)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(3))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(4))=2).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn3d2_rnm3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm2d3_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm3d2_rn3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm4d3_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 2)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 3)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r4_rnm4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 4)=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(2))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(3))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm4_rn4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(4))=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn3d2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn3d4_rnm1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d4_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 3)=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 4)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k4_xcmplx_0(2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k4_xcmplx_0(3))=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k4_xcmplx_0(4))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rnm4d3_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 1)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 2)=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 3)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(2))=k7_xcmplx_0(4, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(3))=2).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(3, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d4_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d4_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))=3).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(2, 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(4, 3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 4)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=1).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(4), 3))=2).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 2)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 4)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k4_xcmplx_0(2))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k4_xcmplx_0(4))=3).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn2d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(4, 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rnm1d3_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rnm2d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(4), 3))=1).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), 1)=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), 3)=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rm3_r4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k4_xcmplx_0(3))=4).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rn3d2_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(3, 2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rn3d4_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(3, 4))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=2).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(3), 4))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
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__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__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4, axiom, k4_xcmplx_0(k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3, axiom, k4_xcmplx_0(k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(3, 4)).
fof(rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(4, 3)).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, 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_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(A, k7_xcmplx_0(B, C))=k7_xcmplx_0(k3_xcmplx_0(A, B), C)) ) ).
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(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(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_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (r1_subset_1(A, B) => r1_subset_1(B, A)) ) ) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(symmetry_r2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (r2_subset_1(A, B) => r2_subset_1(B, A)) ) ) ).
fof(t10_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v2_compts_1(B, A) & v2_compts_1(C, A))  => v2_compts_1(k4_subset_1(u1_struct_0(A), B, C), A)) ) ) ) ) ) ) ).
fof(t10_finseq_2, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ~ ( (r2_hidden(A, k10_xtuple_0(B)) &  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(B)) & k1_funct_1(B, C)=A) ) ) ) ) ) ) ) ) ).
fof(t10_jordan6, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(A))) =>  (r1_topreal1(k15_euclid(A), C, D, B) => v2_connsp_1(B, k15_euclid(A))) ) ) ) ) ) ) ) ) ).
fof(t10_jordan8, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(4, k3_finseq_1(k1_jordan8(A, B)))) ) ) ) ).
fof(t116_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) => k2_finseq_6(A, 1, B)=k16_finseq_1(B, A)) ) ) ) ) ).
fof(t11_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(A, B), k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))=k7_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), k2_jordan1e(A, B))) ) ) ) ).
fof(t11_topreal8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & m2_finseq_1(C, A))  =>  (k7_partfun1(A, C, k3_finseq_1(C))=k7_partfun1(A, B, 1) => v1_finseq_6(k7_finseq_6(A, B, C), A)) ) ) ) ) ) ) ).
fof(t121_jordan2c, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  ~ (v9_rltopsp1(k5_topreal1(A), k15_euclid(2))) ) ) ).
fof(t12_jgraph_1, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v3_topreal1(A) => v1_goboard5(A)) ) ) ).
fof(t12_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  ( (v4_topreal1(A) &  (r1_xxreal_0(C, k3_finseq_1(A)) & B=k1_funct_1(A, C)) )  =>  (r1_xxreal_0(C, 1) | k1_nat_1(k1_jordan3(A, B), 1)=C) ) ) ) ) ) ) ) ).
fof(t12_jordan8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), k7_nat_d(k3_finseq_1(k1_jordan8(C, B)), 1), A))=k8_pscomp_1(C)) ) ) ) ) ) ) ).
fof(t12_sprect_2, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, A) & k17_euclid(B)=k6_pscomp_1(A))  => r2_tarski(B, k14_pscomp_1(A))) ) ) ) ) ).
fof(t12_topreal8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_matrix_0(B) & m2_finseq_1(B, k3_finseq_2(A)))  =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, A))  =>  ( (k7_partfun1(A, C, k3_finseq_1(C))=k7_partfun1(A, D, 1) &  (r1_goboard1(A, C, B) & r1_goboard1(A, D, B)) )  => r1_goboard1(A, k7_finseq_6(A, C, D), B)) ) ) ) ) ) ) ) ) ).
fof(t139_finseq_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( ~ (B=k1_xboole_0)  => k1_nat_1(k3_finseq_1(k6_finseq_6(A, B)), 1)=k1_nat_1(k3_finseq_1(A), k3_finseq_1(B))) ) ) ) ) ).
fof(t13_jordan1e, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) => k3_topreal1(2, k1_jordan9(A, B))=k4_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan1e(A, B)), k3_topreal1(2, k2_jordan1e(A, B)))) ) ) ) ).
fof(t13_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k1_nat_1(B, 1), A))  <=> r1_xxreal_0(A, B)) ) ) ) ) ).
fof(t13_sprect_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_tarski(k18_pscomp_1(A), A) & r2_tarski(k19_pscomp_1(A), A)) ) ) ).
fof(t155_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  =>  (! [C] :  (m2_finseq_1(C, A) => k7_partfun1(A, k7_finseq_6(A, B, C), 1)=k7_partfun1(A, B, 1)) ) ) ) ) ) ).
fof(t156_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & m2_finseq_1(C, A))  => k7_partfun1(A, k7_finseq_6(A, B, C), k3_finseq_1(k7_finseq_6(A, B, C)))=k7_partfun1(A, C, k3_finseq_1(C))) ) ) ) ) ) ).
fof(t159_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, A) =>  (! [D] :  (m2_finseq_1(D, A) =>  ( (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(C)))  => k7_partfun1(A, k7_finseq_6(A, C, D), B)=k7_partfun1(A, C, B)) ) ) ) ) ) ) ) ) ).
fof(t15_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(3, k3_finseq_1(k1_jordan1e(A, B))) & r1_xxreal_0(3, k3_finseq_1(k2_jordan1e(A, B)))) ) ) ) ) ).
fof(t168_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, A))  => r2_tarski(k7_partfun1(A, B, k3_finseq_1(B)), k10_xtuple_0(B))) ) ) ) ).
fof(t16_jordan1e, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, k1_jordan1e(A, B)), k3_topreal1(2, k2_jordan1e(A, B)))=k2_tarski(k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))), k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B))))) ) ) ) ).
fof(t16_sppol_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (k17_euclid(A)=k17_euclid(B) <=> v2_sppol_1(k1_rltopsp1(k15_euclid(2), A, B))) ) ) ) ) ).
fof(t179_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) => k3_finseq_1(k1_finseq_6(A, C, B))=k3_finseq_1(C)) ) ) ) ) ) ).
fof(t17_finseq_4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (k7_partfun1(A, k2_finseq_4(A, B, C), 1)=B & k7_partfun1(A, k2_finseq_4(A, B, C), 2)=C) ) ) ) ) ) ) ).
fof(t17_jordan9, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (r1_xxreal_0(1, D) & r1_xxreal_0(k1_nat_1(D, 1), k1_matrix_0(A))) ) )  =>  (r2_tarski(B, k3_goboard5(A, C, D)) <=>  (r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D)), k17_euclid(B)) &  (r1_xxreal_0(k17_euclid(B), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1), D))) &  (r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D)), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, k1_nat_1(D, 1))))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  ( ( ~ (v3_relat_1(E))  &  (v1_matrix_0(E) &  (v1_goboard1(E) &  (v2_goboard1(E) &  (v3_goboard1(E) &  (v4_goboard1(E) & m2_finseq_1(E, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(E)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(E)) &  (r1_xxreal_0(1, A) &  (r1_xxreal_0(A, B) & r1_xxreal_0(B, k3_finseq_1(E))) ) ) ) ) )  => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, A, C)), k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), E, B, D)))) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k2_jordan1e(B, A)=k1_finseq_5(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))) ) ) ) ).
fof(t18_sppol_2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(2, k3_finseq_1(A)) => r1_tarski(k10_xtuple_0(A), k3_topreal1(2, A))) ) ) ).
fof(t19_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) => k1_funct_1(A, k4_finseq_4(A, B))=B) ) ) ) ).
fof(t19_jordan4, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(C, k3_finseq_1(A)) & r1_xxreal_0(1, D)) )  =>  (r1_xxreal_0(C, B) |  (r1_xxreal_0(k1_nat_1(k7_nat_d(C, B), 1), D) | k2_topreal1(2, k3_finseq_6(u1_struct_0(k15_euclid(2)), A, B, C), D)=k2_topreal1(2, A, k7_nat_d(k2_xcmplx_0(D, B), 1))) ) ) ) ) ) ) ) ) ) ) ).
fof(t19_topreal3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(A))) =>  (! [C] :  (v7_ordinal1(C) => r1_tarski(k2_topreal1(A, B, C), k3_topreal1(A, B))) ) ) ) ) ) ).
fof(t19_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(k2_xcmplx_0(A, B), C) <=> r1_xxreal_0(A, k6_xcmplx_0(C, B))) ) ) ) ) ) ) ).
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_enumset1, axiom,  (! [A] :  (! [B] : k2_tarski(A, B)=k2_xboole_0(k1_tarski(A), k1_tarski(B))) ) ).
fof(t1_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v2_goboard1(C) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(C)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(C))) ) ) )  => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B))=k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, 1, B))) ) ) ) ) ) ) ).
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(t1_topreal1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_topreal1(A, C, D, B) =>  (r2_tarski(C, B) & r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t1_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, B) & r1_tarski(B, C))  => r1_tarski(A, C)) ) ) ) ).
fof(t1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, A))  => A=B) ) ) ) ) ).
fof(t20_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(A, k2_xcmplx_0(B, C)) <=> r1_xxreal_0(k6_xcmplx_0(A, B), C)) ) ) ) ) ) ) ).
fof(t21_finseq_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (r2_hidden(B, k10_xtuple_0(A)) =>  (r1_xxreal_0(1, k4_finseq_4(A, B)) & r1_xxreal_0(k4_finseq_4(A, B), k3_finseq_1(A))) ) ) ) ) ).
fof(t21_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( (r1_tarski(A, B) & r2_tarski(k18_pscomp_1(B), A))  => k18_pscomp_1(A)=k18_pscomp_1(B)) ) ) ) ) ).
fof(t21_sppol_2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) => k3_topreal1(2, k2_finseq_4(u1_struct_0(k15_euclid(2)), A, B))=k1_rltopsp1(k15_euclid(2), A, B)) ) ) ) ).
fof(t21_topreal1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(B))) =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(C)))  =>  (r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(B)), C, A), k2_topreal1(B, C, A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(B)), C, k1_nat_1(A, 1)), k2_topreal1(B, C, A))) ) ) ) ) ) ) ) ).
fof(t22_sprect_3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => k7_partfun1(u1_struct_0(k15_euclid(2)), k3_jordan3(A, B), 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)) ) ) ) ) ).
fof(t22_sprect_5, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k18_pscomp_1(k3_topreal1(2, A)) & r1_xxreal_0(k4_finseq_4(A, k19_pscomp_1(k3_topreal1(2, A))), 1)) ) ) ) ).
fof(t235_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(B, A) => k2_xcmplx_0(k1_xreal_0(A, B), B)=A) ) ) ) ) ).
fof(t23_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(k1_nat_1(A, 1), k3_finseq_1(B)))  => k1_gobrd13(B, k2_goboard2(B), A)=k4_goboard5(B, A)) ) ) ) ) ).
fof(t23_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), A, B) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(A)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k22_pscomp_1(k3_topreal1(2, A)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, k1_nat_1(E, 1)), k2_matrix_0(B)) &  (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, k1_nat_1(E, 1)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, k1_nat_1(C, 1))=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_jordan2c, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) =>  (r2_jordan2c(A, B, C) => r1_tarski(C, k2_jordan2c(A, B))) ) ) ) ) ) ) ).
fof(t23_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  (k1_funct_1(k2_jordan3(A, B), 1)=B &  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(C, k3_finseq_1(k2_jordan3(A, B))) =>  (r1_xxreal_0(C, 1) |  ( (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)) => k1_funct_1(k2_jordan3(A, B), C)=k1_funct_1(A, k2_xcmplx_0(k1_jordan3(A, B), C)))  &  ( ~ (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)))  => k1_funct_1(k2_jordan3(A, B), C)=k1_funct_1(A, k6_xcmplx_0(k2_xcmplx_0(k1_jordan3(A, B), C), 1))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_sprect_5, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k18_pscomp_1(k3_topreal1(2, A)) &  ( ~ (k19_pscomp_1(k3_topreal1(2, A))=k20_pscomp_1(k3_topreal1(2, A)))  & r1_xxreal_0(k4_finseq_4(A, k20_pscomp_1(k3_topreal1(2, A))), k4_finseq_4(A, k19_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t23_subset_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  (r1_xboole_0(B, C) <=> r1_tarski(B, k3_subset_1(A, C))) ) ) ) ) ) ).
fof(t23_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] : k3_xboole_0(A, k2_xboole_0(B, C))=k2_xboole_0(k3_xboole_0(A, B), k3_xboole_0(A, C))) ) ) ).
fof(t24_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  (k1_funct_1(k3_jordan3(A, B), k3_finseq_1(k3_jordan3(A, B)))=B &  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_jordan3(A, B)))  => k1_funct_1(k3_jordan3(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t24_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_tarski(A, B) =>  (r1_xxreal_0(k6_pscomp_1(B), k17_euclid(A)) &  (r1_xxreal_0(k17_euclid(A), k8_pscomp_1(B)) &  (r1_xxreal_0(k9_pscomp_1(B), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), k7_pscomp_1(B))) ) ) ) ) ) ) ) ).
fof(t24_sprect_5, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k18_pscomp_1(k3_topreal1(2, A)) & r1_xxreal_0(k4_finseq_4(A, k21_pscomp_1(k3_topreal1(2, A))), k4_finseq_4(A, k20_pscomp_1(k3_topreal1(2, 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(t25_jordan1d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (? [C] :  (v7_ordinal1(C) &  (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k1_matrix_0(k1_jordan8(B, A))) & k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))=k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), k3_finseq_1(k1_jordan8(B, A)), C)) ) ) ) ) ) ) ) ).
fof(t25_jordan1i, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (v1_sprect_2(A) <=> r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), A, k18_pscomp_1(k3_topreal1(2, A))), 2), k14_pscomp_1(k3_topreal1(2, A)))) ) ) ).
fof(t25_sprect_5, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  =>  ~ ( (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k18_pscomp_1(k3_topreal1(2, A)) &  ( ~ (k21_pscomp_1(k3_topreal1(2, A))=k22_pscomp_1(k3_topreal1(2, A)))  & r1_xxreal_0(k4_finseq_4(A, k22_pscomp_1(k3_topreal1(2, A))), k4_finseq_4(A, k21_pscomp_1(k3_topreal1(2, A))))) ) ) ) ) ).
fof(t26_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)) <=>  (m1_subset_1(k6_xcmplx_0(B, 1), k4_ordinal1) & m1_subset_1(k6_xcmplx_0(k3_finseq_1(A), B), k4_ordinal1)) ) ) ) ) ) ).
fof(t26_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  ( (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)) => k3_finseq_1(k2_jordan3(A, B))=k6_xcmplx_0(k3_finseq_1(A), k1_jordan3(A, B)))  &  ( ~ (B=k1_funct_1(A, k1_nat_1(k1_jordan3(A, B), 1)))  => k3_finseq_1(k2_jordan3(A, B))=k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A), k1_jordan3(A, B)), 1)) ) ) ) ) ) ) ).
fof(t26_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(A, B) => r1_tarski(k3_xboole_0(A, C), k3_xboole_0(B, C))) ) ) ) ).
fof(t27_jordan9, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v3_funct_1(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(B) &  (v2_topreal1(B) &  (v1_goboard5(B) &  (v2_goboard5(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(B)))  =>  (r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)), k1_gobrd13(B, A, C), k3_topreal1(2, B)), k3_goboard9(B)) & r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)), k2_gobrd13(B, A, C), k3_topreal1(2, B)), k2_goboard9(B))) ) ) ) ) ) ) ) ) ).
fof(t27_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r1_tarski(A, B) & r1_tarski(C, D))  => r1_tarski(k3_xboole_0(A, C), k3_xboole_0(B, D))) ) ) ) ) ).
fof(t28_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) )  => k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))=k2_goboard2(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_finseq_1, axiom,  (k2_finseq_1(1)=k1_tarski(1) & k2_finseq_1(2)=k2_tarski(1, 2)) ).
fof(t2_goboard3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v3_relat_1(B))  &  (v1_matrix_0(B) &  (v1_goboard1(B) &  (v2_goboard1(B) &  (v3_goboard1(B) &  (v4_goboard1(B) & m2_finseq_1(B, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ~ ( ( (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(A)) &  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( (r2_hidden(k4_tarski(D, E), k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)), A, C)=k3_matrix_0(u1_struct_0(k15_euclid(2)), B, D, E)) ) ) ) ) ) ) ) ) )  &  (v4_topreal1(A) &  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  ~ ( (r1_goboard1(u1_struct_0(k15_euclid(2)), C, B) &  (v4_topreal1(C) &  (k3_topreal1(2, A)=k3_topreal1(2, C) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k7_partfun1(u1_struct_0(k15_euclid(2)), C, k3_finseq_1(C)) & r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_goboard5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_matrix_0(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2)))))  =>  ( (v1_goboard1(C) &  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k1_matrix_0(C)) &  (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(C))) ) ) )  => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, B))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), C, A, 1))) ) ) ) ) ) ) ).
fof(t2_partfun2, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, C))))  =>  (r2_tarski(A, k2_relset_1(C, D)) <=>  (? [E] :  (m1_subset_1(E, B) &  (r2_tarski(E, k1_relset_1(B, D)) & A=k7_partfun1(C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
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_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, C))  => r1_xxreal_0(A, C)) ) ) ) ) ) ) ).
fof(t30_matrix_0, axiom,  (! [A] :  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v1_matrix_0(D) & m2_finseq_1(D, k3_finseq_2(A)))  =>  ( (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(D)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(D))) ) )  => r2_hidden(k4_tarski(B, C), k2_matrix_0(D))) ) ) ) ) ) ) ) ).
fof(t31_pscomp_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  (r2_tarski(A, k14_pscomp_1(B)) =>  (k17_euclid(A)=k17_euclid(k18_pscomp_1(B)) &  (v2_compts_1(B, k15_euclid(2)) =>  (r1_xxreal_0(k18_euclid(k18_pscomp_1(B)), k18_euclid(A)) & r1_xxreal_0(k18_euclid(A), k18_euclid(k19_pscomp_1(B)))) ) ) ) ) ) ) ) ).
fof(t31_topreal8, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (! [C] :  ( ( ~ (v1_zfmisc_1(C))  & m2_finseq_1(C, u1_struct_0(k15_euclid(2))))  =>  (k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B))=k7_partfun1(u1_struct_0(k15_euclid(2)), C, 1) =>  (r1_xxreal_0(k3_finseq_1(C), k1_nat_1(A, 1)) | k2_topreal1(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), B, C), k2_xcmplx_0(k3_finseq_1(B), A))=k2_topreal1(2, C, k1_nat_1(A, 1))) ) ) ) ) ) ) ) ).
fof(t32_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)), k2_jordan1e(B, A), 2))=k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ).
fof(t32_matrix_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_matrix_0(A)) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r2_hidden(k4_tarski(B, C), k2_matrix_0(A)) =>  (r1_xxreal_0(1, B) &  (r1_xxreal_0(B, k3_finseq_1(A)) &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, k1_matrix_0(A))) ) ) ) ) ) ) ) ) ) ).
fof(t33_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, k15_euclid(2)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  ( ~ (r1_xxreal_0(k6_pscomp_1(B), k6_pscomp_1(A)))  => k18_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)), A, B))=k18_pscomp_1(A)) ) ) ) ) ).
fof(t33_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  => k3_topreal1(2, k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A))=k3_topreal1(2, B)) ) ) ) ).
fof(t33_topreal8, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v2_funct_1(A) &  (v2_topreal1(A) &  (v3_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) )  =>  (! [B] :  ( ( ~ (v1_zfmisc_1(B))  &  (v2_funct_1(B) &  (v2_topreal1(B) &  (v3_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2)))) ) ) )  =>  ( (k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1), k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), B, k3_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))) )  => v1_goboard5(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ).
fof(t34_goboard7, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  ~ (r1_xxreal_0(k3_finseq_1(A), 4)) ) ) ).
fof(t34_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  =>  (B=k1_funct_1(A, k3_finseq_1(A)) | v4_topreal1(k2_jordan3(A, B))) ) ) ) ) ) ).
fof(t34_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k1_xreal_0(k2_xcmplx_0(A, B), B)=A) ) ) ) ).
fof(t34_revrot_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  ( (v1_finseq_6(B, u1_struct_0(k15_euclid(2))) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (! [C] :  ( ( ~ (v3_relat_1(C))  &  (v1_matrix_0(C) &  (v1_goboard1(C) &  (v2_goboard1(C) &  (v3_goboard1(C) &  (v4_goboard1(C) & m2_finseq_1(C, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, C) <=> r1_goboard1(u1_struct_0(k15_euclid(2)), k1_finseq_6(u1_struct_0(k15_euclid(2)), B, A), C)) ) ) ) ) ) ) ).
fof(t34_topreal8, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v2_topreal1(A) &  (v2_topreal1(B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1) & k9_subset_1(u1_struct_0(k15_euclid(2)), k2_topreal1(2, A, k7_nat_d(k3_finseq_1(A), 1)), k2_topreal1(2, B, 1))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A)))) ) )  => v2_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ).
fof(t35_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  => k7_partfun1(u1_struct_0(k15_euclid(2)), k2_jordan3(A, B), k3_finseq_1(k2_jordan3(A, B)))=k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))) ) ) ) ) ).
fof(t35_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k3_topreal1(2, A)))  =>  (B=k1_funct_1(A, 1) | v4_topreal1(k3_jordan3(A, B))) ) ) ) ) ) ).
fof(t35_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(k1_xreal_0(A, B), A)) ) ) ) ).
fof(t35_topreal8, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1) =>  (v1_xboole_0(A) |  (v1_zfmisc_1(B) | k3_topreal1(2, k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B))=k4_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))) ) ) ) ) ) ) ).
fof(t36_gobrd14, axiom,  (! [A] :  ( ( ~ (v3_funct_1(A))  &  ( ~ (v1_xboole_0(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) &  (v1_sprect_2(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) ) )  => k2_jordan2c(2, k3_topreal1(2, A))=k2_goboard9(A)) ) ).
fof(t36_jordan1j, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v3_funct_1(A))  &  (v1_finseq_6(A, u1_struct_0(k15_euclid(2))) &  (v1_topreal1(A) &  (v2_topreal1(A) &  (v1_goboard5(A) &  (v2_goboard5(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  ( (v2_connsp_1(D, k15_euclid(2)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k15_euclid(2)))))  =>  ~ ( (r2_tarski(B, k3_goboard9(A)) &  (r2_tarski(C, k2_goboard9(A)) &  (r2_tarski(B, D) &  (r2_tarski(C, D) & r1_xboole_0(D, k3_topreal1(2, A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t37_jordan1j, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k10_xtuple_0(A)) => k2_jordan3(A, B)=k3_finseq_6(u1_struct_0(k15_euclid(2)), A, k4_finseq_4(A, B), k3_finseq_1(A))) ) ) ) ) ).
fof(t38_finseq_5, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k7_partfun1(A, C, k4_finseq_4(C, B))=B) ) ) ) ) ) ) ).
fof(t38_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( (v4_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k10_xtuple_0(B)) => r1_goboard1(u1_struct_0(k15_euclid(2)), k3_jordan3(B, C), A)) ) ) ) ) ) ) ) ).
fof(t38_topreal1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(A, k7_topreal1(A)) &  (r2_tarski(A, k5_topreal1(A)) &  (r2_tarski(A, k4_topreal1(A)) & r2_tarski(A, k6_topreal1(A))) ) ) ) ) ).
fof(t39_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( (v4_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(C, k10_xtuple_0(B)) => r1_goboard1(u1_struct_0(k15_euclid(2)), k2_jordan3(B, C), 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_goboard9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ ( (r1_tarski(B, C) &  (v2_connsp_1(B, A) &  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  ~ ( (r3_connsp_1(A, C, D) & r1_tarski(B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
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(t3_xboole_0, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (r1_xboole_0(A, B))  &  (! [C] :  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) )  &  ~ ( ( (? [C] :  (r2_hidden(C, A) & r2_hidden(C, B)) )  & r1_xboole_0(A, B)) ) ) ) ) ).
fof(t40_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) &  (r1_xxreal_0(C, k3_finseq_1(A)) &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(D, k1_matrix_0(A)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D), k3_topreal1(2, B))) ) ) )  => r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, D), k10_xtuple_0(B))) ) ) ) ) ) ) ) ) ) ).
fof(t41_finseq_5, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_finseq_1(C, B) =>  ( (r2_tarski(A, k4_finseq_1(C)) & v2_funct_1(C))  => k4_finseq_4(C, k7_partfun1(B, C, A))=A) ) ) ) ) ) ) ).
fof(t41_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => r1_tarski(k3_topreal1(2, k3_jordan3(A, B)), k3_topreal1(2, A))) ) ) ) ) ).
fof(t42_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) =>  ( ~ (B=k1_xboole_0)  => r2_tarski(k7_partfun1(A, B, 1), k10_xtuple_0(B))) ) ) ) ) ).
fof(t42_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => r1_tarski(k3_topreal1(2, k2_jordan3(A, B)), k3_topreal1(2, A))) ) ) ) ) ).
fof(t42_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v6_rltopsp1(A) &  (v7_rltopsp1(A) & l1_rltopsp1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( (v9_rltopsp1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(C, B) => v9_rltopsp1(C, A)) ) ) ) ) ) ) ).
fof(t43_jordan1j, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(k1_funct_1(A, k3_finseq_1(A)), k3_topreal1(2, k3_jordan3(A, B))))  => k1_funct_1(A, k3_finseq_1(A))=B) ) ) ) ) ).
fof(t43_sprect_2, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  => r2_tarski(k18_pscomp_1(k3_topreal1(2, A)), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ).
fof(t44_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  (A=k10_finseq_1(B, C) <=>  (k3_finseq_1(A)=2 &  (k1_funct_1(A, 1)=B & k1_funct_1(A, 2)=C) ) ) ) ) ) ) ).
fof(t44_jordan1h, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (v2_connsp_1(B, k15_euclid(2)) => k2_goboard2(k1_jordan9(B, A))=k1_jordan8(B, A)) ) ) ) ) ).
fof(t46_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k3_topreal1(2, k1_jordan1e(B, A))) & k17_euclid(C)=k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A))))  => C=k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ).
fof(t46_sprect_2, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  => r2_tarski(k22_pscomp_1(k3_topreal1(2, A)), k2_relset_1(u1_struct_0(k15_euclid(2)), A))) ) ).
fof(t49_jordan1g, axiom,  (! [A] :  ( (v4_topreal1(A) & m2_finseq_1(A, u1_struct_0(k15_euclid(2))))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k10_xtuple_0(A)) => k3_jordan3(A, B)=k3_finseq_6(u1_struct_0(k15_euclid(2)), A, 1, k4_finseq_4(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_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_goboard1(u1_struct_0(k15_euclid(2)), k1_jordan1e(B, A), k1_jordan8(B, A))) ) ) ) ).
fof(t4_jordan8, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) =>  (v2_goboard5(B) & v1_topreal1(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(t4_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] : k2_xboole_0(k2_xboole_0(A, B), C)=k2_xboole_0(A, k2_xboole_0(B, C))) ) ) ).
fof(t50_pscomp_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_compts_1(A, k15_euclid(2)) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r2_tarski(k23_pscomp_1(A), k16_pscomp_1(A)) & r2_tarski(k22_pscomp_1(A), k16_pscomp_1(A))) ) ) ).
fof(t51_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_goboard1(u1_struct_0(k15_euclid(2)), k7_finseq_6(u1_struct_0(k15_euclid(2)), B, C), A))  =>  (r1_xxreal_0(k3_finseq_1(B), D) |  (k2_gobrd13(k7_finseq_6(u1_struct_0(k15_euclid(2)), B, C), A, D)=k2_gobrd13(B, A, D) & k1_gobrd13(k7_finseq_6(u1_struct_0(k15_euclid(2)), B, C), A, D)=k1_gobrd13(B, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t52_euclid, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k17_euclid(k19_euclid(A, B))=A & k18_euclid(k19_euclid(A, B))=B) ) ) ) ) ).
fof(t52_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( (v4_topreal1(B) & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) & r2_tarski(C, k10_xtuple_0(B))) )  =>  (r1_xxreal_0(k4_finseq_4(B, C), D) |  (k2_gobrd13(k3_jordan3(B, C), A, D)=k2_gobrd13(B, A, D) & k1_gobrd13(k3_jordan3(B, C), A, D)=k1_gobrd13(B, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_jordan1j, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_goboard1(u1_struct_0(k15_euclid(2)), B, A))  =>  (r1_xxreal_0(k4_finseq_4(B, C), D) |  (k2_gobrd13(k1_finseq_5(u1_struct_0(k15_euclid(2)), B, C), A, D)=k2_gobrd13(B, A, D) & k1_gobrd13(k1_finseq_5(u1_struct_0(k15_euclid(2)), B, C), A, D)=k1_gobrd13(B, A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t54_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v2_topreal1(A) &  (v3_topreal1(A) &  (v2_funct_1(A) &  (v2_topreal1(B) &  (v3_topreal1(B) &  (v2_funct_1(B) &  (k7_partfun1(u1_struct_0(k15_euclid(2)), A, k3_finseq_1(A))=k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1) & k9_subset_1(u1_struct_0(k15_euclid(2)), k3_topreal1(2, A), k3_topreal1(2, B))=k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1))) ) ) ) ) ) )  => v3_topreal1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ).
fof(t54_sprect_1, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r1_xxreal_0(k17_euclid(A), k17_euclid(B)) => k6_pscomp_1(k1_rltopsp1(k15_euclid(2), A, B))=k17_euclid(A)) ) ) ) ) ).
fof(t55_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m2_finseq_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v2_funct_1(A) &  (v2_funct_1(B) & r1_tarski(k3_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)), k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)), B, 1)))) )  => v2_funct_1(k7_finseq_6(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ).
fof(t56_jordan1j, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (v4_topreal1(A) & r2_tarski(B, k10_xtuple_0(A)))  =>  (B=k1_funct_1(A, 1) | k1_nat_1(k1_jordan3(A, B), 1)=k4_finseq_4(A, B)) ) ) ) ) ) ).
fof(t57_jordan1j, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ~ ( ( ~ (r1_xxreal_0(C, 1))  &  ( ~ (r1_xxreal_0(k3_finseq_1(k1_jordan8(B, A)), C))  &  (r1_xxreal_0(1, D) &  (r1_xxreal_0(E, k1_matrix_0(k1_jordan8(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, E), k3_topreal1(2, k1_jordan1e(B, A))) &  (r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(B, A), C, D), k3_topreal1(2, k2_jordan1e(B, A))) & D=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(k5_numbers, A)=k5_numbers) ) ).
fof(t5_goboard1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (! [F] :  ( ( ~ (v3_relat_1(F))  &  (v1_matrix_0(F) &  (v1_goboard1(F) &  (v2_goboard1(F) &  (v3_goboard1(F) &  (v4_goboard1(F) & m2_finseq_1(F, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  ( (E=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, A, D) &  (E=k3_matrix_0(u1_struct_0(k15_euclid(2)), F, B, C) &  (r2_hidden(k4_tarski(A, D), k2_matrix_0(F)) & r2_hidden(k4_tarski(B, C), k2_matrix_0(F))) ) )  =>  (A=B & D=C) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_goboard7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(C, k1_rltopsp1(k15_euclid(2), A, B)) & k17_euclid(A)=k17_euclid(B))  => k17_euclid(C)=k17_euclid(B)) ) ) ) ) ) ) ).
fof(t5_jordan10, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_subset_1(B, k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ).
fof(t5_jordan1f, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), 1)=k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ).
fof(t5_jordan1g, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  => r1_goboard1(u1_struct_0(k15_euclid(2)), k2_jordan1e(B, A), k1_jordan8(B, A))) ) ) ) ).
fof(t5_jordan8, axiom,  (! [A] :  ( ( ~ (v3_relat_1(A))  &  (v1_matrix_0(A) &  (v1_goboard1(A) &  (v2_goboard1(A) &  (v3_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m2_finseq_1(B, u1_struct_0(k15_euclid(2))))  =>  ~ ( (r1_xxreal_0(2, k3_finseq_1(B)) &  (r1_goboard1(u1_struct_0(k15_euclid(2)), B, A) & v3_funct_1(B)) ) ) ) ) ) ) ).
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(t60_nat_d, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_zfmisc_1(A) <=>  ~ (r1_xxreal_0(2, k4_card_1(A))) ) ) ) ).
fof(t61_jordan6, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_topreal2(A) & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) )  =>  (r1_tarski(k9_jordan6(A), A) & r1_tarski(k8_jordan6(A), A)) ) ) ).
fof(t63_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, B) & r1_xboole_0(B, C))  => r1_xboole_0(A, C)) ) ) ) ).
fof(t68_rltopsp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_tarski(B, k1_rltopsp1(A, B, C))) ) ) ) ) ) ).
fof(t6_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (r2_tarski(1, k4_finseq_1(A)) & r2_tarski(k3_finseq_1(A), k4_finseq_1(A))) ) ) ).
fof(t6_jordan1e, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (k2_xcmplx_0(A, B)=k2_xcmplx_0(C, D) &  (r1_xxreal_0(A, C) & r1_xxreal_0(B, D)) )  => A=C) ) ) ) ) ) ) ) ) ).
fof(t6_jordan1f, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k7_partfun1(u1_struct_0(k15_euclid(2)), k2_jordan1e(A, B), 1)=k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ).
fof(t6_jordan1i, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) )  => r2_tarski(k18_pscomp_1(B), k4_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k18_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), 1))) ) ) ) ).
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(t6_topreal3, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (k17_euclid(A)=k17_euclid(B) & k18_euclid(A)=k18_euclid(B))  => A=B) ) ) ) ) ).
fof(t70_finseq_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (! [D] :  (m2_finseq_1(D, C) =>  (r2_tarski(A, k4_finseq_1(k17_finseq_1(C, B, D))) => k7_partfun1(C, k17_finseq_1(C, B, D), A)=k7_partfun1(C, D, A)) ) ) ) ) ) ) ) ).
fof(t70_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (r1_xboole_0(A, k2_xboole_0(B, C)))  &  (r1_xboole_0(A, B) & r1_xboole_0(A, C)) ) )  &  ~ ( ( ~ ( (r1_xboole_0(A, B) & r1_xboole_0(A, C)) )  & r1_xboole_0(A, k2_xboole_0(B, C))) ) ) ) ) ) ).
fof(t71_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k8_pscomp_1(k3_topreal1(2, k1_jordan9(C, B)))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), k3_finseq_1(k1_jordan8(C, B)), A))) ) ) ) ) ) ) ).
fof(t73_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v2_connsp_1(C, k15_euclid(2)) &  (v2_compts_1(C, k15_euclid(2)) &  ( ~ (v1_sppol_1(C))  &  ( ~ (v2_sppol_1(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  ( (r1_xxreal_0(1, A) & r1_xxreal_0(A, k3_finseq_1(k1_jordan8(C, B))))  => k6_pscomp_1(k3_topreal1(2, k1_jordan9(C, B)))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), k1_jordan8(C, B), 1, A))) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_goboard7, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  ( (k17_euclid(A)=k17_euclid(B) &  (k17_euclid(B)=k17_euclid(C) &  (r1_xxreal_0(k18_euclid(A), k18_euclid(B)) & r1_xxreal_0(k18_euclid(B), k18_euclid(C))) ) )  => r2_tarski(B, k1_rltopsp1(k15_euclid(2), A, C))) ) ) ) ) ) ) ).
fof(t7_jordan1b, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (v2_sppol_1(k1_rltopsp1(k15_euclid(2), A, B)) =>  (A=B | v4_topreal1(k2_finseq_4(u1_struct_0(k15_euclid(2)), A, B))) ) ) ) ) ) ).
fof(t7_jordan1e, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (v4_topreal1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(B, k3_topreal1(2, A)) & r2_tarski(k1_funct_1(A, 1), k3_topreal1(2, k2_jordan3(A, B))))  => k1_funct_1(A, 1)=B) ) ) ) ) ) ).
fof(t7_jordan1f, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k7_partfun1(u1_struct_0(k15_euclid(2)), k1_jordan1e(A, B), k3_finseq_1(k1_jordan1e(A, B)))=k22_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ).
fof(t7_jordan1g, axiom,  (! [A] :  ( (v1_matrix_0(A) &  (v1_goboard1(A) &  (v4_goboard1(A) & m2_finseq_1(A, k3_finseq_2(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (v7_ordinal1(E) =>  ( (r2_hidden(k4_tarski(B, D), k2_matrix_0(A)) &  (r2_hidden(k4_tarski(C, E), k2_matrix_0(A)) & k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, B, D))=k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)), A, C, E))) )  => B=C) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_jordan1i, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) ) )  => r2_tarski(k22_pscomp_1(B), k4_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)), k1_jordan9(B, A), k22_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))), 1))) ) ) ) ).
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(t7_topreal8, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => r1_xxreal_0(k3_finseq_1(A), k3_finseq_1(k6_finseq_6(A, B)))) ) ) ) ).
fof(t7_xboole_1, axiom,  (! [A] :  (! [B] : r1_tarski(A, k2_xboole_0(A, B))) ) ).
fof(t7_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(C, D))  => r1_xxreal_0(k2_xcmplx_0(A, C), k2_xcmplx_0(B, D))) ) ) ) ) ) ) ) ) ).
fof(t83_jordan1a, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v2_connsp_1(B, k15_euclid(2)) &  (v2_compts_1(B, k15_euclid(2)) &  ( ~ (v1_sppol_1(B))  &  ( ~ (v2_sppol_1(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k15_euclid(2))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k15_euclid(2))) =>  ( (r2_tarski(D, k16_pscomp_1(B)) & r2_tarski(C, k9_subset_1(u1_struct_0(k15_euclid(2)), k5_topreal1(D), k3_topreal1(2, k1_jordan9(B, A)))))  => k17_euclid(C)=k8_pscomp_1(k3_topreal1(2, k1_jordan9(B, A)))) ) ) ) ) ) ) ) ) ).
fof(t89_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  => k4_finseq_1(B)=k2_finseq_1(A)) ) ) ) ).
fof(t89_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_finseq_1(B, A) => k1_finseq_6(A, B, k7_partfun1(A, B, 1))=B) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_jordan1f, axiom,  (! [A] :  ( (v2_compts_1(A, k15_euclid(2)) &  ( ~ (v1_sppol_1(A))  &  ( ~ (v2_sppol_1(A))  & m1_subset_1(A, k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )  =>  (! [B] :  (v7_ordinal1(B) => k7_partfun1(u1_struct_0(k15_euclid(2)), k2_jordan1e(A, B), k3_finseq_1(k2_jordan1e(A, B)))=k18_pscomp_1(k3_topreal1(2, k1_jordan9(A, B)))) ) ) ) ).
fof(t8_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) =>  (r1_xxreal_0(1, k1_jordan3(A, B)) &  ~ (r1_xxreal_0(k3_finseq_1(A), k1_jordan3(A, B))) ) ) ) ) ) ) ).
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)) ) ) ) ) ) ) ) ).
fof(t8_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, C) & r1_tarski(B, C))  => r1_tarski(k2_xboole_0(A, B), C)) ) ) ) ).
fof(t92_finseq_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m2_finseq_1(C, A) =>  (r2_tarski(B, k10_xtuple_0(C)) => k7_partfun1(A, k1_finseq_6(A, C, B), 1)=B) ) ) ) ) ) ) ).
fof(t9_finseq_5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (! [C] :  ( (r2_tarski(B, k10_xtuple_0(A)) &  (r2_tarski(C, k10_xtuple_0(A)) & k4_finseq_4(A, B)=k4_finseq_4(A, C)) )  => B=C) ) ) ) ) ).
fof(t9_jordan3, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (r2_tarski(B, k3_topreal1(2, A)) => r2_tarski(B, k2_topreal1(2, A, k1_jordan3(A, B)))) ) ) ) ) ).
fof(t9_sppol_2, axiom,  (! [A] :  (m2_finseq_1(A, u1_struct_0(k15_euclid(2))) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k15_euclid(2))) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(k1_nat_1(C, 1), k3_finseq_1(k1_finseq_5(u1_struct_0(k15_euclid(2)), A, B))) => k2_topreal1(2, k1_finseq_5(u1_struct_0(k15_euclid(2)), A, B), C)=k2_topreal1(2, A, C)) ) ) ) ) ) ) ).
fof(t9_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(A, B) <=> r1_xxreal_0(k6_xcmplx_0(A, C), k6_xcmplx_0(B, C))) ) ) ) ) ) ) ).
