% Mizar problem: t16_series_2,series_2,679,5 
fof(t16_series_2, conjecture,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) =>  (k8_nat_1(k1_numbers, A, B)=k1_newton(k6_xcmplx_0(k3_xcmplx_0(2, B), 1), 3) & k8_nat_1(k1_numbers, A, k5_numbers)=k5_numbers) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) => k8_nat_1(k1_numbers, k3_series_1(A), B)=k3_xcmplx_0(k1_newton(B, 2), k6_xcmplx_0(k3_xcmplx_0(2, k1_newton(B, 2)), 1))) ) ) ) ) ) ).
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_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_0(B)) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_0(B)) ) ) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (v1_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_valued_0(C)) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (v2_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v2_valued_0(C)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (v3_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v3_valued_0(C)) ) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (v4_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v4_valued_0(C)) ) ) ) ).
fof(cc1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_partfun1(C, A) => v1_funct_2(C, A, B)) ) ) ) ).
fof(cc1_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc20_valued_0, axiom,  (! [A, B] :  (v5_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v5_valued_0(C)) ) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_funct_2, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_funct_2(B, A, A) => v1_partfun1(B, A)) ) ) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) =>  (v1_funct_2(B, k2_zfmisc_1(A, A), A) => v1_partfun1(B, k2_zfmisc_1(A, A))) ) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc9_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_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_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k2_nat_1(B, A)) ) ).
fof(commutativity_k2_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_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
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(d1_series_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v1_valued_0(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, k4_ordinal1) & v1_valued_0(B)) ) ) )  =>  (B=k2_series_1(A) <=>  (k1_funct_1(B, k5_numbers)=k1_funct_1(A, k5_numbers) &  (! [C] :  (v7_ordinal1(C) => k1_funct_1(B, k1_nat_1(C, 1))=k2_xcmplx_0(k1_funct_1(B, C), k1_funct_1(A, k1_nat_1(C, 1)))) ) ) ) ) ) ) ) ).
fof(dt_k11_newton, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k11_newton(A, B), k4_ordinal1)) ) ).
fof(dt_k1_funct_1, axiom, $true).
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_zfmisc_1, axiom, $true).
fof(dt_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k2_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_series_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_partfun1(A, k4_ordinal1) & v1_valued_0(A)) ) ) )  =>  (v1_relat_1(k2_series_1(A)) &  (v4_relat_1(k2_series_1(A), k4_ordinal1) &  (v1_funct_1(k2_series_1(A)) &  (v1_partfun1(k2_series_1(A), k4_ordinal1) & v1_valued_0(k2_series_1(A))) ) ) ) ) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_series_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  (v1_funct_1(k3_series_1(A)) &  (v1_funct_2(k3_series_1(A), k4_ordinal1, k1_numbers) & m1_subset_1(k3_series_1(A), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) ) ) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, 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_k6_numbers, axiom, $true).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => m1_subset_1(k8_nat_1(A, B, C), A)) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
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_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_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_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_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_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_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_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_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_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_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
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_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_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(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_newton, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  => v1_xreal_0(k1_newton(A, B))) ) ).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A))) ) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_newton, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v7_ordinal1(B))  => v1_xcmplx_0(k1_newton(A, B))) ) ).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
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(fc4_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k6_xcmplx_0(A, B))) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_newton, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k1_newton(A, B))) ) ).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_numbers, axiom,  ~ (v1_xboole_0(k6_numbers)) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_xcmplx_0(k1_funct_1(A, B))) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => v1_xxreal_0(k1_funct_1(A, B))) ) ).
fof(fc63_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_funct_1(A, B))) ) ).
fof(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
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_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_numbers, axiom,  ~ (v1_finset_1(k3_numbers)) ).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc89_valued_0, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_0(k2_zfmisc_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_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
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(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(l14_series_2, axiom,  (! [A] :  (v7_ordinal1(A) => k3_xcmplx_0(k11_newton(k1_nat_1(A, 1), 2), k6_xcmplx_0(k2_nat_1(2, k11_newton(k1_nat_1(A, 1), 2)), 1))=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(A, 2), k1_newton(A, 2)), 2), k3_xcmplx_0(k6_xcmplx_0(12, 1), k1_newton(A, 2))), k3_xcmplx_0(8, k1_newton(A, 3))), k3_xcmplx_0(6, A)), 1)) ) ).
fof(l2_series_2, axiom,  (! [A] :  (v1_xreal_0(A) => k1_newton(A, 3)=k3_xcmplx_0(k3_xcmplx_0(A, A), A)) ) ).
fof(l5_series_2, axiom,  (! [A] :  (v1_xreal_0(A) => k1_newton(k2_xcmplx_0(A, 1), 3)=k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A, 3), k3_xcmplx_0(3, k1_newton(A, 2))), k3_xcmplx_0(3, A)), 1)) ) ).
fof(rc1_funct_2, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_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_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_valued_0(B)) ) ) ) ) ) ).
fof(rd1_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_newton(A, 1)=A) ) ).
fof(rd2_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(1, A)=1) ) ).
fof(redefinition_k11_newton, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k11_newton(A, B)=k1_newton(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_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k3_xcmplx_0(A, B)) ) ).
fof(redefinition_k3_series_1, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => k3_series_1(A)=k2_series_1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => k8_nat_1(A, B, C)=k1_funct_1(B, C)) ) ).
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_r11, axiom, r1_xxreal_0(0, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r12, axiom, r1_xxreal_0(0, 12)).
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_r6, axiom, r1_xxreal_0(0, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r8, axiom, r1_xxreal_0(0, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm11, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(11))) ).
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_rm6, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm8, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r0, axiom,  ~ (r1_xxreal_0(11, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r1, axiom,  ~ (r1_xxreal_0(11, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r11, axiom, r1_xxreal_0(11, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r12, axiom, r1_xxreal_0(11, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r2, axiom,  ~ (r1_xxreal_0(11, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r3, axiom,  ~ (r1_xxreal_0(11, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r4, axiom,  ~ (r1_xxreal_0(11, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r6, axiom,  ~ (r1_xxreal_0(11, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r8, axiom,  ~ (r1_xxreal_0(11, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_rm1, axiom,  ~ (r1_xxreal_0(11, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_rm11, axiom,  ~ (r1_xxreal_0(11, k4_xcmplx_0(11))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r0, axiom,  ~ (r1_xxreal_0(12, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r1, axiom,  ~ (r1_xxreal_0(12, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r11, axiom,  ~ (r1_xxreal_0(12, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r12, axiom, r1_xxreal_0(12, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r2, axiom,  ~ (r1_xxreal_0(12, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r3, axiom,  ~ (r1_xxreal_0(12, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r4, axiom,  ~ (r1_xxreal_0(12, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r6, axiom,  ~ (r1_xxreal_0(12, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r8, axiom,  ~ (r1_xxreal_0(12, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm1, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm11, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(11))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm3, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm6, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(6))) ).
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_r11, axiom, r1_xxreal_0(1, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r12, axiom, r1_xxreal_0(1, 12)).
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_r6, axiom, r1_xxreal_0(1, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r8, axiom, r1_xxreal_0(1, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_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_rm6, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm8, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r11, axiom, r1_xxreal_0(2, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r12, axiom, r1_xxreal_0(2, 12)).
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_r6, axiom, r1_xxreal_0(2, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r8, axiom, r1_xxreal_0(2, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm4, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm6, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm8, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ (r1_xxreal_0(3, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r11, axiom, r1_xxreal_0(3, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r12, axiom, r1_xxreal_0(3, 12)).
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_r6, axiom, r1_xxreal_0(3, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r8, axiom, r1_xxreal_0(3, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_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_rm6, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm8, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r0, axiom,  ~ (r1_xxreal_0(4, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ (r1_xxreal_0(4, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r11, axiom, r1_xxreal_0(4, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r12, axiom, r1_xxreal_0(4, 12)).
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_r6, axiom, r1_xxreal_0(4, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r8, axiom, r1_xxreal_0(4, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm1, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm2, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm3, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm4, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm6, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm8, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r0, axiom,  ~ (r1_xxreal_0(6, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r1, axiom,  ~ (r1_xxreal_0(6, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r11, axiom, r1_xxreal_0(6, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r12, axiom, r1_xxreal_0(6, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r2, axiom,  ~ (r1_xxreal_0(6, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r3, axiom,  ~ (r1_xxreal_0(6, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r4, axiom,  ~ (r1_xxreal_0(6, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r6, axiom, r1_xxreal_0(6, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r8, axiom, r1_xxreal_0(6, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm1, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm11, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(11))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm2, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm3, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm4, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm6, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm8, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r0, axiom,  ~ (r1_xxreal_0(8, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r1, axiom,  ~ (r1_xxreal_0(8, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r11, axiom, r1_xxreal_0(8, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r12, axiom, r1_xxreal_0(8, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r2, axiom,  ~ (r1_xxreal_0(8, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r3, axiom,  ~ (r1_xxreal_0(8, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r4, axiom,  ~ (r1_xxreal_0(8, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r6, axiom,  ~ (r1_xxreal_0(8, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r8, axiom, r1_xxreal_0(8, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm1, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm2, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm4, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm6, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm8, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm11_r0, axiom, r1_xxreal_0(k4_xcmplx_0(11), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm11_r11, axiom, r1_xxreal_0(k4_xcmplx_0(11), 11)).
fof(rqLessOrEqual__r1_xxreal_0__rm11_r12, axiom, r1_xxreal_0(k4_xcmplx_0(11), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm11_r6, axiom, r1_xxreal_0(k4_xcmplx_0(11), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm11_rm11, axiom, r1_xxreal_0(k4_xcmplx_0(11), k4_xcmplx_0(11))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r12, axiom, r1_xxreal_0(k4_xcmplx_0(12), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r2, axiom, r1_xxreal_0(k4_xcmplx_0(12), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r3, axiom, r1_xxreal_0(k4_xcmplx_0(12), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r4, axiom, r1_xxreal_0(k4_xcmplx_0(12), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r8, axiom, r1_xxreal_0(k4_xcmplx_0(12), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm12, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(12))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm8, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(8))).
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_r11, axiom, r1_xxreal_0(k4_xcmplx_0(1), 11)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r12, axiom, r1_xxreal_0(k4_xcmplx_0(1), 12)).
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_r6, axiom, r1_xxreal_0(k4_xcmplx_0(1), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r8, axiom, r1_xxreal_0(k4_xcmplx_0(1), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm4, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__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_r6, axiom, r1_xxreal_0(k4_xcmplx_0(2), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r8, axiom, r1_xxreal_0(k4_xcmplx_0(2), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom, r1_xxreal_0(k4_xcmplx_0(3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom, r1_xxreal_0(k4_xcmplx_0(3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r12, axiom, r1_xxreal_0(k4_xcmplx_0(3), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_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_r6, axiom, r1_xxreal_0(k4_xcmplx_0(3), 6)).
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_rm6, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r0, axiom, r1_xxreal_0(k4_xcmplx_0(4), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r1, axiom, r1_xxreal_0(k4_xcmplx_0(4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r12, axiom, r1_xxreal_0(k4_xcmplx_0(4), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_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_r8, axiom, r1_xxreal_0(k4_xcmplx_0(4), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r0, axiom, r1_xxreal_0(k4_xcmplx_0(6), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r1, axiom, r1_xxreal_0(k4_xcmplx_0(6), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r12, axiom, r1_xxreal_0(k4_xcmplx_0(6), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r2, axiom, r1_xxreal_0(k4_xcmplx_0(6), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r3, axiom, r1_xxreal_0(k4_xcmplx_0(6), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r4, axiom, r1_xxreal_0(k4_xcmplx_0(6), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r6, axiom, r1_xxreal_0(k4_xcmplx_0(6), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(6), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm6, axiom, r1_xxreal_0(k4_xcmplx_0(6), k4_xcmplx_0(6))).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm8, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(6), k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r0, axiom, r1_xxreal_0(k4_xcmplx_0(8), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r1, axiom, r1_xxreal_0(k4_xcmplx_0(8), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r12, axiom, r1_xxreal_0(k4_xcmplx_0(8), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r2, axiom, r1_xxreal_0(k4_xcmplx_0(8), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r3, axiom, r1_xxreal_0(k4_xcmplx_0(8), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r4, axiom, r1_xxreal_0(k4_xcmplx_0(8), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r6, axiom, r1_xxreal_0(k4_xcmplx_0(8), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r8, axiom, r1_xxreal_0(k4_xcmplx_0(8), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm8, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(8))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r11_r11, axiom, k2_xcmplx_0(0, 11)=11).
fof(rqRealAdd__k2_xcmplx_0__r0_r12_r12, axiom, k2_xcmplx_0(0, 12)=12).
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_r6_r6, axiom, k2_xcmplx_0(0, 6)=6).
fof(rqRealAdd__k2_xcmplx_0__r0_r8_r8, axiom, k2_xcmplx_0(0, 8)=8).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom, k2_xcmplx_0(0, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm4_rm4, axiom, k2_xcmplx_0(0, k4_xcmplx_0(4))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm8_rm8, axiom, k2_xcmplx_0(0, k4_xcmplx_0(8))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r11_r0_r11, axiom, k2_xcmplx_0(11, 0)=11).
fof(rqRealAdd__k2_xcmplx_0__r11_r1_r12, axiom, k2_xcmplx_0(11, 1)=12).
fof(rqRealAdd__k2_xcmplx_0__r11_rm11_r0, axiom, k2_xcmplx_0(11, k4_xcmplx_0(11))=0).
fof(rqRealAdd__k2_xcmplx_0__r11_rm12_rm1, axiom, k2_xcmplx_0(11, k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r11_rm3_r8, axiom, k2_xcmplx_0(11, k4_xcmplx_0(3))=8).
fof(rqRealAdd__k2_xcmplx_0__r11_rm8_r3, axiom, k2_xcmplx_0(11, k4_xcmplx_0(8))=3).
fof(rqRealAdd__k2_xcmplx_0__r12_r0_r12, axiom, k2_xcmplx_0(12, 0)=12).
fof(rqRealAdd__k2_xcmplx_0__r12_rm11_r1, axiom, k2_xcmplx_0(12, k4_xcmplx_0(11))=1).
fof(rqRealAdd__k2_xcmplx_0__r12_rm12_r0, axiom, k2_xcmplx_0(12, k4_xcmplx_0(12))=0).
fof(rqRealAdd__k2_xcmplx_0__r12_rm1_r11, axiom, k2_xcmplx_0(12, k4_xcmplx_0(1))=11).
fof(rqRealAdd__k2_xcmplx_0__r12_rm4_r8, axiom, k2_xcmplx_0(12, k4_xcmplx_0(4))=8).
fof(rqRealAdd__k2_xcmplx_0__r12_rm6_r6, axiom, k2_xcmplx_0(12, k4_xcmplx_0(6))=6).
fof(rqRealAdd__k2_xcmplx_0__r12_rm8_r4, axiom, k2_xcmplx_0(12, k4_xcmplx_0(8))=4).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r11_r12, axiom, k2_xcmplx_0(1, 11)=12).
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_rm12_rm11, axiom, k2_xcmplx_0(1, k4_xcmplx_0(12))=k4_xcmplx_0(11)).
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__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_r4_r6, axiom, k2_xcmplx_0(2, 4)=6).
fof(rqRealAdd__k2_xcmplx_0__r2_r6_r8, axiom, k2_xcmplx_0(2, 6)=8).
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_rm6_rm4, axiom, k2_xcmplx_0(2, k4_xcmplx_0(6))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm8_rm6, axiom, k2_xcmplx_0(2, k4_xcmplx_0(8))=k4_xcmplx_0(6)).
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_r3_r6, axiom, k2_xcmplx_0(3, 3)=6).
fof(rqRealAdd__k2_xcmplx_0__r3_r8_r11, axiom, k2_xcmplx_0(3, 8)=11).
fof(rqRealAdd__k2_xcmplx_0__r3_rm11_rm8, axiom, k2_xcmplx_0(3, k4_xcmplx_0(11))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(1))=2).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(2))=1).
fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom, k2_xcmplx_0(3, k4_xcmplx_0(3))=0).
fof(rqRealAdd__k2_xcmplx_0__r3_rm4_rm1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(4))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm6_rm3, axiom, k2_xcmplx_0(3, k4_xcmplx_0(6))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r4_r0_r4, axiom, k2_xcmplx_0(4, 0)=4).
fof(rqRealAdd__k2_xcmplx_0__r4_r2_r6, axiom, k2_xcmplx_0(4, 2)=6).
fof(rqRealAdd__k2_xcmplx_0__r4_r4_r8, axiom, k2_xcmplx_0(4, 4)=8).
fof(rqRealAdd__k2_xcmplx_0__r4_r8_r12, axiom, k2_xcmplx_0(4, 8)=12).
fof(rqRealAdd__k2_xcmplx_0__r4_rm12_rm8, axiom, k2_xcmplx_0(4, k4_xcmplx_0(12))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm1_r3, axiom, k2_xcmplx_0(4, k4_xcmplx_0(1))=3).
fof(rqRealAdd__k2_xcmplx_0__r4_rm2_r2, axiom, k2_xcmplx_0(4, k4_xcmplx_0(2))=2).
fof(rqRealAdd__k2_xcmplx_0__r4_rm3_r1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(3))=1).
fof(rqRealAdd__k2_xcmplx_0__r4_rm4_r0, axiom, k2_xcmplx_0(4, k4_xcmplx_0(4))=0).
fof(rqRealAdd__k2_xcmplx_0__r4_rm6_rm2, axiom, k2_xcmplx_0(4, k4_xcmplx_0(6))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm8_rm4, axiom, k2_xcmplx_0(4, k4_xcmplx_0(8))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r6_r0_r6, axiom, k2_xcmplx_0(6, 0)=6).
fof(rqRealAdd__k2_xcmplx_0__r6_r2_r8, axiom, k2_xcmplx_0(6, 2)=8).
fof(rqRealAdd__k2_xcmplx_0__r6_r6_r12, axiom, k2_xcmplx_0(6, 6)=12).
fof(rqRealAdd__k2_xcmplx_0__r6_rm12_rm6, axiom, k2_xcmplx_0(6, k4_xcmplx_0(12))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r6_rm2_r4, axiom, k2_xcmplx_0(6, k4_xcmplx_0(2))=4).
fof(rqRealAdd__k2_xcmplx_0__r6_rm3_r3, axiom, k2_xcmplx_0(6, k4_xcmplx_0(3))=3).
fof(rqRealAdd__k2_xcmplx_0__r6_rm4_r2, axiom, k2_xcmplx_0(6, k4_xcmplx_0(4))=2).
fof(rqRealAdd__k2_xcmplx_0__r6_rm6_r0, axiom, k2_xcmplx_0(6, k4_xcmplx_0(6))=0).
fof(rqRealAdd__k2_xcmplx_0__r6_rm8_rm2, axiom, k2_xcmplx_0(6, k4_xcmplx_0(8))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r8_r0_r8, axiom, k2_xcmplx_0(8, 0)=8).
fof(rqRealAdd__k2_xcmplx_0__r8_r3_r11, axiom, k2_xcmplx_0(8, 3)=11).
fof(rqRealAdd__k2_xcmplx_0__r8_r4_r12, axiom, k2_xcmplx_0(8, 4)=12).
fof(rqRealAdd__k2_xcmplx_0__r8_rm11_rm3, axiom, k2_xcmplx_0(8, k4_xcmplx_0(11))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r8_rm12_rm4, axiom, k2_xcmplx_0(8, k4_xcmplx_0(12))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r8_rm2_r6, axiom, k2_xcmplx_0(8, k4_xcmplx_0(2))=6).
fof(rqRealAdd__k2_xcmplx_0__r8_rm4_r4, axiom, k2_xcmplx_0(8, k4_xcmplx_0(4))=4).
fof(rqRealAdd__k2_xcmplx_0__r8_rm6_r2, axiom, k2_xcmplx_0(8, k4_xcmplx_0(6))=2).
fof(rqRealAdd__k2_xcmplx_0__r8_rm8_r0, axiom, k2_xcmplx_0(8, k4_xcmplx_0(8))=0).
fof(rqRealAdd__k2_xcmplx_0__rm11_r11_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 11)=0).
fof(rqRealAdd__k2_xcmplx_0__rm11_r12_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 12)=1).
fof(rqRealAdd__k2_xcmplx_0__rm11_r3_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 3)=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r8_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 8)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm12_r11_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 11)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm12_r12_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 12)=0).
fof(rqRealAdd__k2_xcmplx_0__rm12_r1_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm12_r4_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 4)=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm12_r6_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 6)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm12_r8_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 8)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r12_r11, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 12)=11).
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_rm11_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(11))=k4_xcmplx_0(12)).
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__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_r6_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 6)=4).
fof(rqRealAdd__k2_xcmplx_0__rm2_r8_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 8)=6).
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_rm4_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(4))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm6_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(6))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r11_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 11)=8).
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_r6_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 6)=3).
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_rm3_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(3))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm8_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(8))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r12_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 12)=8).
fof(rqRealAdd__k2_xcmplx_0__rm4_r1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 2)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r3_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 3)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r4_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 4)=0).
fof(rqRealAdd__k2_xcmplx_0__rm4_r6_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 6)=2).
fof(rqRealAdd__k2_xcmplx_0__rm4_r8_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 8)=4).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm2_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm4_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(4))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm8_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(8))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r12_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 12)=6).
fof(rqRealAdd__k2_xcmplx_0__rm6_r2_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 2)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r3_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 3)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r4_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 4)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r6_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 6)=0).
fof(rqRealAdd__k2_xcmplx_0__rm6_r8_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 8)=2).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm2_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(2))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm6_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(6))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r11_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 11)=3).
fof(rqRealAdd__k2_xcmplx_0__rm8_r12_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 12)=4).
fof(rqRealAdd__k2_xcmplx_0__rm8_r2_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 2)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r4_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 4)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r6_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 6)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r8_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 8)=0).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm3_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(3))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm4_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(4))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r11_rm11, axiom, k6_xcmplx_0(0, 11)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__r0_r12_rm12, axiom, k6_xcmplx_0(0, 12)=k4_xcmplx_0(12)).
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_r6_rm6, axiom, k6_xcmplx_0(0, 6)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r0_r8_rm8, axiom, k6_xcmplx_0(0, 8)=k4_xcmplx_0(8)).
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_rm6_r6, axiom, k6_xcmplx_0(0, k4_xcmplx_0(6))=6).
fof(rqRealDiff__k6_xcmplx_0__r0_rm8_r8, axiom, k6_xcmplx_0(0, k4_xcmplx_0(8))=8).
fof(rqRealDiff__k6_xcmplx_0__r11_r0_r11, axiom, k6_xcmplx_0(11, 0)=11).
fof(rqRealDiff__k6_xcmplx_0__r11_r11_r0, axiom, k6_xcmplx_0(11, 11)=0).
fof(rqRealDiff__k6_xcmplx_0__r11_r12_rm1, axiom, k6_xcmplx_0(11, 12)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r11_r3_r8, axiom, k6_xcmplx_0(11, 3)=8).
fof(rqRealDiff__k6_xcmplx_0__r11_r8_r3, axiom, k6_xcmplx_0(11, 8)=3).
fof(rqRealDiff__k6_xcmplx_0__r11_rm1_r12, axiom, k6_xcmplx_0(11, k4_xcmplx_0(1))=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12, axiom, k6_xcmplx_0(12, 0)=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r11_r1, axiom, k6_xcmplx_0(12, 11)=1).
fof(rqRealDiff__k6_xcmplx_0__r12_r12_r0, axiom, k6_xcmplx_0(12, 12)=0).
fof(rqRealDiff__k6_xcmplx_0__r12_r1_r11, axiom, k6_xcmplx_0(12, 1)=11).
fof(rqRealDiff__k6_xcmplx_0__r12_r4_r8, axiom, k6_xcmplx_0(12, 4)=8).
fof(rqRealDiff__k6_xcmplx_0__r12_r6_r6, axiom, k6_xcmplx_0(12, 6)=6).
fof(rqRealDiff__k6_xcmplx_0__r12_r8_r4, axiom, k6_xcmplx_0(12, 8)=4).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r12_rm11, axiom, k6_xcmplx_0(1, 12)=k4_xcmplx_0(11)).
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_rm11_r12, axiom, k6_xcmplx_0(1, k4_xcmplx_0(11))=12).
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__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_r6_rm4, axiom, k6_xcmplx_0(2, 6)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r2_r8_rm6, axiom, k6_xcmplx_0(2, 8)=k4_xcmplx_0(6)).
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_rm4_r6, axiom, k6_xcmplx_0(2, k4_xcmplx_0(4))=6).
fof(rqRealDiff__k6_xcmplx_0__r2_rm6_r8, axiom, k6_xcmplx_0(2, k4_xcmplx_0(6))=8).
fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom, k6_xcmplx_0(3, 0)=3).
fof(rqRealDiff__k6_xcmplx_0__r3_r11_rm8, axiom, k6_xcmplx_0(3, 11)=k4_xcmplx_0(8)).
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_r6_rm3, axiom, k6_xcmplx_0(3, 6)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r3_rm1_r4, axiom, k6_xcmplx_0(3, k4_xcmplx_0(1))=4).
fof(rqRealDiff__k6_xcmplx_0__r3_rm3_r6, axiom, k6_xcmplx_0(3, k4_xcmplx_0(3))=6).
fof(rqRealDiff__k6_xcmplx_0__r3_rm8_r11, axiom, k6_xcmplx_0(3, k4_xcmplx_0(8))=11).
fof(rqRealDiff__k6_xcmplx_0__r4_r0_r4, axiom, k6_xcmplx_0(4, 0)=4).
fof(rqRealDiff__k6_xcmplx_0__r4_r12_rm8, axiom, k6_xcmplx_0(4, 12)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom, k6_xcmplx_0(4, 1)=3).
fof(rqRealDiff__k6_xcmplx_0__r4_r2_r2, axiom, k6_xcmplx_0(4, 2)=2).
fof(rqRealDiff__k6_xcmplx_0__r4_r3_r1, axiom, k6_xcmplx_0(4, 3)=1).
fof(rqRealDiff__k6_xcmplx_0__r4_r4_r0, axiom, k6_xcmplx_0(4, 4)=0).
fof(rqRealDiff__k6_xcmplx_0__r4_r6_rm2, axiom, k6_xcmplx_0(4, 6)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r4_r8_rm4, axiom, k6_xcmplx_0(4, 8)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r4_rm2_r6, axiom, k6_xcmplx_0(4, k4_xcmplx_0(2))=6).
fof(rqRealDiff__k6_xcmplx_0__r4_rm4_r8, axiom, k6_xcmplx_0(4, k4_xcmplx_0(4))=8).
fof(rqRealDiff__k6_xcmplx_0__r4_rm8_r12, axiom, k6_xcmplx_0(4, k4_xcmplx_0(8))=12).
fof(rqRealDiff__k6_xcmplx_0__r6_r0_r6, axiom, k6_xcmplx_0(6, 0)=6).
fof(rqRealDiff__k6_xcmplx_0__r6_r12_rm6, axiom, k6_xcmplx_0(6, 12)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r6_r2_r4, axiom, k6_xcmplx_0(6, 2)=4).
fof(rqRealDiff__k6_xcmplx_0__r6_r3_r3, axiom, k6_xcmplx_0(6, 3)=3).
fof(rqRealDiff__k6_xcmplx_0__r6_r4_r2, axiom, k6_xcmplx_0(6, 4)=2).
fof(rqRealDiff__k6_xcmplx_0__r6_r6_r0, axiom, k6_xcmplx_0(6, 6)=0).
fof(rqRealDiff__k6_xcmplx_0__r6_r8_rm2, axiom, k6_xcmplx_0(6, 8)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r6_rm2_r8, axiom, k6_xcmplx_0(6, k4_xcmplx_0(2))=8).
fof(rqRealDiff__k6_xcmplx_0__r6_rm6_r12, axiom, k6_xcmplx_0(6, k4_xcmplx_0(6))=12).
fof(rqRealDiff__k6_xcmplx_0__r8_r0_r8, axiom, k6_xcmplx_0(8, 0)=8).
fof(rqRealDiff__k6_xcmplx_0__r8_r11_rm3, axiom, k6_xcmplx_0(8, 11)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r8_r12_rm4, axiom, k6_xcmplx_0(8, 12)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r8_r2_r6, axiom, k6_xcmplx_0(8, 2)=6).
fof(rqRealDiff__k6_xcmplx_0__r8_r4_r4, axiom, k6_xcmplx_0(8, 4)=4).
fof(rqRealDiff__k6_xcmplx_0__r8_r6_r2, axiom, k6_xcmplx_0(8, 6)=2).
fof(rqRealDiff__k6_xcmplx_0__r8_r8_r0, axiom, k6_xcmplx_0(8, 8)=0).
fof(rqRealDiff__k6_xcmplx_0__r8_rm3_r11, axiom, k6_xcmplx_0(8, k4_xcmplx_0(3))=11).
fof(rqRealDiff__k6_xcmplx_0__r8_rm4_r12, axiom, k6_xcmplx_0(8, k4_xcmplx_0(4))=12).
fof(rqRealDiff__k6_xcmplx_0__rm11_r1_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(11), 1)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm11_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(11))=0).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm12_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(12))=1).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm3_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(3))=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm8_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(8))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r0_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 0)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm11_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(11))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm12_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(12))=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm1_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(1))=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm4_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(4))=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm6_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(6))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm8_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(8))=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r11_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 11)=k4_xcmplx_0(12)).
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_rm12_r11, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(12))=11).
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__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_r4_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 4)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r6_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 6)=k4_xcmplx_0(8)).
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_rm6_r4, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(6))=4).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm8_r6, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(8))=6).
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_r3_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 3)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r8_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 8)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm11_r8, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(11))=8).
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_rm6_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(6))=3).
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_r2_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 2)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm4_r4_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 4)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm4_r8_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 8)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm12_r8, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(12))=8).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm4_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(4))=0).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm6_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(6))=2).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm8_r4, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(8))=4).
fof(rqRealDiff__k6_xcmplx_0__rm6_r0_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 0)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm6_r2_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 2)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm6_r6_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 6)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm12_r6, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(12))=6).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm2_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm3_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm4_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(4))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm6_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(6))=0).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm8_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(8))=2).
fof(rqRealDiff__k6_xcmplx_0__rm8_r0_rm8, axiom, k6_xcmplx_0(k4_xcmplx_0(8), 0)=k4_xcmplx_0(8)).
fof(rqRealDiff__k6_xcmplx_0__rm8_r3_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(8), 3)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__rm8_r4_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(8), 4)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm11_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(11))=3).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm12_r4, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(12))=4).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm2_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(2))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm4_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(4))=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm6_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(6))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm8_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(8))=0).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r11_r0, axiom, k3_xcmplx_0(0, 11)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r12_r0, axiom, k3_xcmplx_0(0, 12)=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_r6_r0, axiom, k3_xcmplx_0(0, 6)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r8_r0, axiom, k3_xcmplx_0(0, 8)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm3_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(3))=0).
fof(rqRealMult__k3_xcmplx_0__r11_r0_r0, axiom, k3_xcmplx_0(11, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r11_r1_r11, axiom, k3_xcmplx_0(11, 1)=11).
fof(rqRealMult__k3_xcmplx_0__r12_r0_r0, axiom, k3_xcmplx_0(12, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r12_r1_r12, axiom, k3_xcmplx_0(12, 1)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r11_r11, axiom, k3_xcmplx_0(1, 11)=11).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
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_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
fof(rqRealMult__k3_xcmplx_0__r1_r8_r8, axiom, k3_xcmplx_0(1, 8)=8).
fof(rqRealMult__k3_xcmplx_0__r1_rm11_rm11, axiom, k3_xcmplx_0(1, k4_xcmplx_0(11))=k4_xcmplx_0(11)).
fof(rqRealMult__k3_xcmplx_0__r1_rm12_rm12, axiom, k3_xcmplx_0(1, k4_xcmplx_0(12))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r1_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_rm6_rm6, axiom, k3_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__r1_rm8_rm8, axiom, k3_xcmplx_0(1, k4_xcmplx_0(8))=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
fof(rqRealMult__k3_xcmplx_0__r2_r3_r6, axiom, k3_xcmplx_0(2, 3)=6).
fof(rqRealMult__k3_xcmplx_0__r2_r4_r8, axiom, k3_xcmplx_0(2, 4)=8).
fof(rqRealMult__k3_xcmplx_0__r2_r6_r12, axiom, k3_xcmplx_0(2, 6)=12).
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_rm3_rm6, axiom, k3_xcmplx_0(2, k4_xcmplx_0(3))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__r2_rm4_rm8, axiom, k3_xcmplx_0(2, k4_xcmplx_0(4))=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__r2_rm6_rm12, axiom, k3_xcmplx_0(2, k4_xcmplx_0(6))=k4_xcmplx_0(12)).
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_r2_r6, axiom, k3_xcmplx_0(3, 2)=6).
fof(rqRealMult__k3_xcmplx_0__r3_r4_r12, axiom, k3_xcmplx_0(3, 4)=12).
fof(rqRealMult__k3_xcmplx_0__r3_rm2_rm6, axiom, k3_xcmplx_0(3, k4_xcmplx_0(2))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__r3_rm4_rm12, axiom, k3_xcmplx_0(3, k4_xcmplx_0(4))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r4_r0_r0, axiom, k3_xcmplx_0(4, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
fof(rqRealMult__k3_xcmplx_0__r4_r2_r8, axiom, k3_xcmplx_0(4, 2)=8).
fof(rqRealMult__k3_xcmplx_0__r4_r3_r12, axiom, k3_xcmplx_0(4, 3)=12).
fof(rqRealMult__k3_xcmplx_0__r4_rm2_rm8, axiom, k3_xcmplx_0(4, k4_xcmplx_0(2))=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__r4_rm3_rm12, axiom, k3_xcmplx_0(4, k4_xcmplx_0(3))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r6_r0_r0, axiom, k3_xcmplx_0(6, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(6, 1)=6).
fof(rqRealMult__k3_xcmplx_0__r6_r2_r12, axiom, k3_xcmplx_0(6, 2)=12).
fof(rqRealMult__k3_xcmplx_0__r6_rm2_rm12, axiom, k3_xcmplx_0(6, k4_xcmplx_0(2))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r8_r0_r0, axiom, k3_xcmplx_0(8, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r8_r1_r8, axiom, k3_xcmplx_0(8, 1)=8).
fof(rqRealMult__k3_xcmplx_0__rm11_r1_rm11, axiom, k3_xcmplx_0(k4_xcmplx_0(11), 1)=k4_xcmplx_0(11)).
fof(rqRealMult__k3_xcmplx_0__rm12_r1_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__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_r3_rm6, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 3)=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm2_r4_rm8, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 4)=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__rm2_r6_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 6)=k4_xcmplx_0(12)).
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_rm3_r6, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=6).
fof(rqRealMult__k3_xcmplx_0__rm2_rm4_r8, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(4))=8).
fof(rqRealMult__k3_xcmplx_0__rm2_rm6_r12, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(6))=12).
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_r2_rm6, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 2)=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm3_r4_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 4)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm3_rm2_r6, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=6).
fof(rqRealMult__k3_xcmplx_0__rm3_rm4_r12, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(4))=12).
fof(rqRealMult__k3_xcmplx_0__rm4_r1_rm4, axiom, k3_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__rm4_r2_rm8, axiom, k3_xcmplx_0(k4_xcmplx_0(4), 2)=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__rm4_r3_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(4), 3)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm4_rm2_r8, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=8).
fof(rqRealMult__k3_xcmplx_0__rm4_rm3_r12, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(3))=12).
fof(rqRealMult__k3_xcmplx_0__rm6_r1_rm6, axiom, k3_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm6_r2_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(6), 2)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm6_rm2_r12, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(2))=12).
fof(rqRealMult__k3_xcmplx_0__rm8_r1_rm8, axiom, k3_xcmplx_0(k4_xcmplx_0(8), 1)=k4_xcmplx_0(8)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r11_rm11, axiom, k4_xcmplx_0(11)=k4_xcmplx_0(11)).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
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__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__r8_rm8, axiom, k4_xcmplx_0(8)=k4_xcmplx_0(8)).
fof(rqRealNeg__k4_xcmplx_0__rm11_r11, axiom, k4_xcmplx_0(k4_xcmplx_0(11))=11).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
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__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rm8_r8, axiom, k4_xcmplx_0(k4_xcmplx_0(8))=8).
fof(s8_nat_1__e5_29__series_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (k8_nat_1(k1_numbers, k3_series_1(A), 1)=k3_xcmplx_0(k1_newton(1, 2), k6_xcmplx_0(k3_xcmplx_0(2, k1_newton(1, 2)), 1)) &  (! [B] :  (v7_ordinal1(B) =>  ( (r1_xxreal_0(1, B) & k8_nat_1(k1_numbers, k3_series_1(A), B)=k3_xcmplx_0(k1_newton(B, 2), k6_xcmplx_0(k3_xcmplx_0(2, k1_newton(B, 2)), 1)))  => k8_nat_1(k1_numbers, k3_series_1(A), k1_nat_1(B, 1))=k3_xcmplx_0(k1_newton(k1_nat_1(B, 1), 2), k6_xcmplx_0(k3_xcmplx_0(2, k1_newton(k1_nat_1(B, 1), 2)), 1))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r1_xxreal_0(1, B) => k8_nat_1(k1_numbers, k3_series_1(A), B)=k3_xcmplx_0(k1_newton(B, 2), k6_xcmplx_0(k3_xcmplx_0(2, k1_newton(B, 2)), 1))) ) ) ) ) ) ).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc11_numerals, axiom,  (v2_xxreal_0(11) & m1_subset_1(11, k4_ordinal1)) ).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, 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_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_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
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(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc8_numerals, axiom,  (v2_xxreal_0(8) & m1_subset_1(8, k4_ordinal1)) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(t11_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => r1_xxreal_0(A, k2_xcmplx_0(A, B))) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
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_wsierp_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (k1_newton(A, 2)=k3_xcmplx_0(A, A) & k1_newton(k4_xcmplx_0(A), 2)=k1_newton(A, 2)) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
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(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_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(t7_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v7_ordinal1(C) => k1_newton(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(k1_newton(A, C), k1_newton(B, C))) ) ) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_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)) ) ) ) ) ) ) ) ).
