% Mizar problem: l24_scmp_gcd,scmp_gcd,1163,5 
fof(l24_scmp_gcd, conjecture,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(C, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(E) & v1_partfun1(E, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(k4_scmp_gcd, D) &  (r1_tarski(k4_scmp_gcd, E) &  (k5_memstr_0(k5_card_1(2), k1_scmpds_2, B)=5 &  (A=k1_funct_1(B, k3_scmp_gcd) &  (k1_funct_1(B, k2_scmp_gcd)=k5_numbers &  (k5_memstr_0(k5_card_1(2), k1_scmpds_2, C)=k5_memstr_0(k5_card_1(2), k1_scmpds_2, B) &  (k1_funct_1(C, k3_scmp_gcd)=k1_funct_1(B, k3_scmp_gcd) &  (k1_funct_1(C, k2_scmp_gcd)=k5_numbers &  (k1_funct_1(C, k2_scmpds_2(k1_funct_1(B, k3_scmp_gcd), 2))=k1_funct_1(B, k2_scmpds_2(k1_funct_1(B, k3_scmp_gcd), 2)) & k1_funct_1(C, k2_scmpds_2(k1_funct_1(B, k3_scmp_gcd), 3))=k1_funct_1(B, k2_scmpds_2(k1_funct_1(B, k3_scmp_gcd), 3))) ) ) ) ) ) ) ) )  =>  (r1_xxreal_0(k1_funct_1(B, k2_scmpds_2(k1_funct_1(B, k3_scmp_gcd), 3)), k5_numbers) |  (k5_memstr_0(k5_card_1(2), k1_scmpds_2, k5_extpro_1(k5_card_1(2), k1_scmpds_2, D, B, 7))=k1_nat_1(5, 7) &  (k5_extpro_1(k5_card_1(2), k1_scmpds_2, D, B, 8)=k2_extpro_1(k5_card_1(2), k1_scmpds_2, k3_scmpds_2(k4_xcmplx_0(7)), k5_extpro_1(k5_card_1(2), k1_scmpds_2, D, B, 7)) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, D, B, 7), k3_scmp_gcd)=k1_nat_1(A, 4) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, D, B, 7), k2_scmp_gcd)=k5_numbers &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, D, B, 7), k1_scmp_gcd(k1_nat_1(A, 7)))=k5_int_1(k1_funct_1(B, k1_scmp_gcd(k1_nat_1(A, 2))), k1_funct_1(B, k1_scmp_gcd(k1_nat_1(A, 3)))) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, D, B, 7), k1_scmp_gcd(k1_nat_1(A, 6)))=k1_funct_1(B, k1_scmp_gcd(k1_nat_1(A, 3))) &  (k5_memstr_0(k5_card_1(2), k1_scmpds_2, k5_extpro_1(k5_card_1(2), k1_scmpds_2, E, C, 7))=k1_nat_1(5, 7) &  (k5_extpro_1(k5_card_1(2), k1_scmpds_2, E, C, 8)=k2_extpro_1(k5_card_1(2), k1_scmpds_2, k3_scmpds_2(k4_xcmplx_0(7)), k5_extpro_1(k5_card_1(2), k1_scmpds_2, E, C, 7)) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, E, C, 7), k3_scmp_gcd)=k1_nat_1(A, 4) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, E, C, 7), k2_scmp_gcd)=k5_numbers &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, E, C, 7), k1_scmp_gcd(k1_nat_1(A, 7)))=k5_int_1(k1_funct_1(B, k1_scmp_gcd(k1_nat_1(A, 2))), k1_funct_1(B, k1_scmp_gcd(k1_nat_1(A, 3)))) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, E, C, 7), k1_scmp_gcd(k1_nat_1(A, 6)))=k1_funct_1(B, k1_scmp_gcd(k1_nat_1(A, 3))) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, D, B, 7), k1_scmp_gcd(k1_nat_1(A, 4)))=A &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, D, B, 7), k1_scmp_gcd(k1_nat_1(A, 5)))=11 &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, E, C, 7), k1_scmp_gcd(k1_nat_1(A, 4)))=A & k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, E, C, 7), k1_scmp_gcd(k1_nat_1(A, 5)))=11) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_extpro_1(B, A) => B=g1_extpro_1(A, u1_struct_0(B), u2_struct_0(B), u1_compos_1(B), u1_memstr_0(A, B), u2_memstr_0(A, B), u1_extpro_1(A, B))) ) ) ).
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_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_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_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
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_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(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_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc1_compos_0, axiom,  (! [A] :  (v1_compos_0(A) => v1_relat_1(A)) ) ).
fof(cc1_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  ~ (v1_xboole_0(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_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_compos_0, axiom,  (! [A] :  (v5_compos_0(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (! [C] :  ( (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) ) ) ) ) ) ).
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_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(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_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(cc5_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(cc6_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_afinsq_1(A)) ) ) ) ).
fof(cc6_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(cc7_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc8_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(cc9_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(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_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(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(d11_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) => k10_ami_3(A)=k4_tarski(1, A)) ) ).
fof(d1_ami_3, axiom, k1_ami_3=g1_extpro_1(k5_card_1(2), k1_ami_2, k10_subset_1(k4_ordinal1, k1_ami_2), k3_scm_inst, k3_ami_2, k4_ami_2, k9_ami_2)).
fof(d1_scmp_gcd, axiom,  (! [A] :  (v7_ordinal1(A) => k1_scmp_gcd(A)=k10_ami_3(A)) ) ).
fof(d2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k2_extpro_1(A, B, C, D)=k1_funct_1(k3_funct_2(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))), u1_extpro_1(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(d2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) => k2_memstr_0(A, B)=k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ) ).
fof(d2_scmp_gcd, axiom, k2_scmp_gcd=k1_scmp_gcd(k5_numbers)).
fof(d3_scmp_gcd, axiom, k3_scmp_gcd=k1_scmp_gcd(1)).
fof(d4_scmp_gcd, axiom, k4_scmp_gcd=k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd, k5_numbers), k5_scmpds_2(k3_scmp_gcd, 7)), k6_scmpds_2(k3_scmp_gcd, k15_scmpds_i)), k3_scmpds_2(2)), k2_compos_1(k1_scmpds_2)), k8_scmpds_2(k3_scmp_gcd, 3, 9)), k16_scmpds_2(k3_scmp_gcd, k3_scmp_gcd, 6, 3)), k15_scmpds_2(k3_scmp_gcd, k3_scmp_gcd, 2, 3)), k16_scmpds_2(k3_scmp_gcd, k3_scmp_gcd, 7, 3)), k16_scmpds_2(k3_scmp_gcd, k2_scmp_gcd, k1_nat_1(4, k14_scmpds_i), 1)), k11_scmpds_2(k2_scmp_gcd, 1, 4)), k6_scmpds_2(k3_scmp_gcd, k15_scmpds_i)), k3_scmpds_2(k4_xcmplx_0(7))), k16_scmpds_2(k3_scmp_gcd, k3_scmp_gcd, 2, 6)), k4_scmpds_2(k3_scmp_gcd))).
fof(d7_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k5_memstr_0(A, B, C)=k1_funct_1(C, k4_struct_0(B))) ) ) ) ) ) ).
fof(dt_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (v1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A) & l1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A)) ) ) ).
fof(dt_k10_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_ami_2(k10_ami_3(A)) & m1_subset_1(k10_ami_3(A), u1_struct_0(k1_ami_3))) ) ) ).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k11_scmpds_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => m1_subset_1(k11_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k14_scmpds_i, axiom, m1_subset_1(k14_scmpds_i, k4_ordinal1)).
fof(dt_k15_scmpds_2, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => m1_subset_1(k15_scmpds_2(A, B, C, D), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k15_scmpds_i, axiom, m1_subset_1(k15_scmpds_i, k4_ordinal1)).
fof(dt_k16_scmpds_2, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => m1_subset_1(k16_scmpds_2(A, B, C, D), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k1_ami_2, axiom, $true).
fof(dt_k1_ami_3, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & l1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, 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_scmp_gcd, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_ami_2(k1_scmp_gcd(A)) & m1_subset_1(k1_scmp_gcd(A), u1_struct_0(k1_scmpds_2))) ) ) ).
fof(dt_k1_scmpds_2, axiom,  (v1_extpro_1(k1_scmpds_2, k5_card_1(2)) & l1_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => m1_subset_1(k2_compos_1(A), u1_compos_1(A))) ) ).
fof(dt_k2_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  &  (m1_subset_1(C, u1_compos_1(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k2_extpro_1(A, B, C, D)) &  (v4_relat_1(k2_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k2_extpro_1(A, B, C, D)) &  (v5_funct_1(k2_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k2_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ).
fof(dt_k2_scmp_gcd, axiom,  (v1_ami_2(k2_scmp_gcd) & m1_subset_1(k2_scmp_gcd, u1_struct_0(k1_scmpds_2))) ).
fof(dt_k2_scmpds_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  =>  (v1_ami_2(k2_scmpds_2(A, B)) & m1_subset_1(k2_scmpds_2(A, B), u1_struct_0(k1_scmpds_2))) ) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_ami_2, axiom,  (v1_funct_1(k3_ami_2) &  (v1_funct_2(k3_ami_2, k1_ami_2, k5_card_1(2)) & m1_subset_1(k3_ami_2, k1_zfmisc_1(k2_zfmisc_1(k1_ami_2, k5_card_1(2))))) ) ).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_scm_inst, axiom,  ~ (v1_xboole_0(k3_scm_inst)) ).
fof(dt_k3_scmp_gcd, axiom,  (v1_ami_2(k3_scmp_gcd) & m1_subset_1(k3_scmp_gcd, u1_struct_0(k1_scmpds_2))) ).
fof(dt_k3_scmpds_2, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k3_scmpds_2(A), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k3_scmpds_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  & m1_subset_1(B, u1_compos_1(k1_scmpds_2)))  =>  (v1_relat_1(k3_scmpds_4(A, B)) &  (v4_relat_1(k3_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k3_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_scmpds_4(A, B)))  &  (v1_funct_1(k3_scmpds_4(A, B)) &  (v1_finset_1(k3_scmpds_4(A, B)) & v1_afinsq_1(k3_scmpds_4(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k4_ami_2, axiom,  (v1_relat_1(k4_ami_2) &  (v4_relat_1(k4_ami_2, k5_card_1(2)) &  (v1_funct_1(k4_ami_2) & v1_partfun1(k4_ami_2, k5_card_1(2))) ) ) ).
fof(dt_k4_card_3, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_scmp_gcd, axiom,  ( ~ (v1_xboole_0(k4_scmp_gcd))  &  (v1_relat_1(k4_scmp_gcd) &  (v4_relat_1(k4_scmp_gcd, k4_ordinal1) &  (v5_relat_1(k4_scmp_gcd, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(k4_scmp_gcd) &  (v1_finset_1(k4_scmp_gcd) & v1_afinsq_1(k4_scmp_gcd)) ) ) ) ) ) ).
fof(dt_k4_scmpds_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  => m1_subset_1(k4_scmpds_2(A), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k4_scmpds_4, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) & m1_subset_1(B, u1_compos_1(k1_scmpds_2)))  =>  (v1_relat_1(k4_scmpds_4(A, B)) &  (v4_relat_1(k4_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k4_scmpds_4(A, B)))  &  (v1_funct_1(k4_scmpds_4(A, B)) &  (v1_finset_1(k4_scmpds_4(A, B)) & v1_afinsq_1(k4_scmpds_4(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k4_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k4_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_card_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k5_extpro_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  & v7_ordinal1(E)) ) ) )  =>  (v1_relat_1(k5_extpro_1(A, B, C, D, E)) &  (v4_relat_1(k5_extpro_1(A, B, C, D, E), u1_struct_0(B)) &  (v1_funct_1(k5_extpro_1(A, B, C, D, E)) &  (v5_funct_1(k5_extpro_1(A, B, C, D, E), k2_memstr_0(A, B)) & v1_partfun1(k5_extpro_1(A, B, C, D, E), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k5_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k5_int_1(A, B))) ) ).
fof(dt_k5_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => m1_subset_1(k5_memstr_0(A, B, C), k4_ordinal1)) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_scmpds_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  & v1_int_1(B))  => m1_subset_1(k5_scmpds_2(A, B), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k6_scmpds_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  & v1_int_1(B))  => m1_subset_1(k6_scmpds_2(A, B), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k8_scmpds_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => m1_subset_1(k8_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k9_ami_2, axiom,  (v1_funct_1(k9_ami_2) &  (v1_funct_2(k9_ami_2, k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) & m1_subset_1(k9_ami_2, k1_zfmisc_1(k2_zfmisc_1(k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))))) ) ).
fof(dt_l1_compos_1, axiom, $true).
fof(dt_l1_extpro_1, axiom,  (! [A] :  (! [B] :  (l1_extpro_1(B, A) =>  (l1_memstr_0(B, A) & l1_compos_1(B)) ) ) ) ).
fof(dt_l1_memstr_0, axiom,  (! [A] :  (! [B] :  (l1_memstr_0(B, A) => l2_struct_0(B)) ) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_compos_0(u1_compos_1(A)) &  (v2_compos_0(u1_compos_1(A)) &  (v3_compos_0(u1_compos_1(A)) & v5_compos_0(u1_compos_1(A))) ) ) ) ) ).
fof(dt_u1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_funct_1(u1_extpro_1(A, B)) &  (v1_funct_2(u1_extpro_1(A, B), u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))))) & m1_subset_1(u1_extpro_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))))))) ) ) ) ).
fof(dt_u1_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_funct_1(u1_memstr_0(A, B)) &  (v1_funct_2(u1_memstr_0(A, B), u1_struct_0(B), A) & m1_subset_1(u1_memstr_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), A)))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_relat_1(u2_memstr_0(A, B)) &  (v4_relat_1(u2_memstr_0(A, B), A) &  (v1_funct_1(u2_memstr_0(A, B)) & v1_partfun1(u2_memstr_0(A, B), A)) ) ) ) ) ).
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_compos_1, axiom,  (? [A] : l1_compos_1(A)) ).
fof(existence_l1_extpro_1, axiom,  (! [A] :  (? [B] : l1_extpro_1(B, A)) ) ).
fof(existence_l1_memstr_0, axiom,  (! [A] :  (? [B] : l1_memstr_0(B, A)) ) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => v9_struct_0(k4_struct_0(A), 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_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, 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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(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_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(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_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(fc1_ami_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_setfam_1(k6_ordinal1(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_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_scmpds_2, axiom,  ( ~ (v2_struct_0(k1_scmpds_2))  & v1_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc2_ami_3, axiom,  ( ~ (v2_struct_0(k1_ami_3))  & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc2_scmpds_2, axiom,  (v2_memstr_0(k1_scmpds_2, k5_card_1(2)) &  (v3_memstr_0(k1_scmpds_2, k5_card_1(2)) & v1_extpro_1(k1_scmpds_2, k5_card_1(2))) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc3_ami_3, axiom,  (v2_memstr_0(k1_ami_3, k5_card_1(2)) & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
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_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v2_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(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_scmpds_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2))) )  => v1_int_1(k1_funct_1(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(fc4_ami_3, axiom,  (v3_memstr_0(k1_ami_3, k5_card_1(2)) & v1_extpro_1(k1_ami_3, k5_card_1(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_scmpds_2, axiom,  (v1_extpro_1(k1_scmpds_2, k5_card_1(2)) & v3_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(fc5_ami_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v1_int_1(k1_funct_1(A, B))) ) ).
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_ami_3, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v3_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
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_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc9_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) & v1_partfun1(k3_relat_1(A, C), k4_ordinal1)) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
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_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g1_extpro_1(A, B, C, D, E, F, G)=g1_extpro_1(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(l19_scmp_gcd, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  ( (r1_tarski(k4_scmp_gcd, C) &  (k5_memstr_0(k5_card_1(2), k1_scmpds_2, B)=5 &  (A=k1_funct_1(B, k3_scmp_gcd) & k1_funct_1(B, k2_scmp_gcd)=k5_numbers) ) )  =>  (r1_xxreal_0(k1_funct_1(B, k2_scmpds_2(k1_funct_1(B, k3_scmp_gcd), 3)), k5_numbers) |  (k5_memstr_0(k5_card_1(2), k1_scmpds_2, k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, B, 7))=k1_nat_1(5, 7) &  (k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, B, 8)=k2_extpro_1(k5_card_1(2), k1_scmpds_2, k3_scmpds_2(k4_xcmplx_0(7)), k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, B, 7)) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, B, 7), k3_scmp_gcd)=k1_nat_1(A, 4) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, B, 7), k2_scmp_gcd)=k5_numbers &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, B, 7), k1_scmp_gcd(k1_nat_1(A, 7)))=k5_int_1(k1_funct_1(B, k2_scmpds_2(k1_funct_1(B, k3_scmp_gcd), 2)), k1_funct_1(B, k2_scmpds_2(k1_funct_1(B, k3_scmp_gcd), 3))) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, B, 7), k1_scmp_gcd(k1_nat_1(A, 6)))=k1_funct_1(B, k2_scmpds_2(k1_funct_1(B, k3_scmp_gcd), 3)) &  (k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, B, 7), k1_scmp_gcd(k1_nat_1(A, 4)))=A & k1_funct_1(k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, B, 7), k1_scmp_gcd(k1_nat_1(A, 5)))=11) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc17_struct_0, axiom,  (! [A] :  (l2_struct_0(A) =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v9_struct_0(B, A)) ) ) ) ).
fof(rc19_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  ~ (v9_struct_0(B, A)) ) ) ) ) ).
fof(rc1_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ).
fof(rc1_ami_3, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_ami_3)) & v1_ami_2(A)) ) ).
fof(rc1_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_compos_0(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_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_scmpds_2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_scmpds_2)) & v1_ami_2(A)) ) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_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(rc2_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finset_1(B)) ) ) ) ) ) ) ).
fof(rc2_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) ) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) & v13_struct_0(B, 1)) ) ) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_afinsq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(rc3_compos_0, axiom,  (? [A] :  (v1_compos_0(A) & v5_compos_0(A)) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) & v2_memstr_0(B, 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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(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_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(rc5_afinsq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ).
fof(rc5_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) ) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k10_subset_1(A, k4_ordinal1)=A) ) ).
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_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => k3_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(redefinition_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
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__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_r5, axiom,  ~ (r1_xxreal_0(11, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r6, axiom,  ~ (r1_xxreal_0(11, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r7, axiom,  ~ (r1_xxreal_0(11, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r8, axiom,  ~ (r1_xxreal_0(11, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r9, axiom,  ~ (r1_xxreal_0(11, 9)) ).
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_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_r5, axiom,  ~ (r1_xxreal_0(12, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r6, axiom,  ~ (r1_xxreal_0(12, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r7, axiom,  ~ (r1_xxreal_0(12, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r8, axiom,  ~ (r1_xxreal_0(12, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r9, axiom,  ~ (r1_xxreal_0(12, 9)) ).
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_rm5, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm6, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm7, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm9, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(9))) ).
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_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r6, axiom, r1_xxreal_0(1, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r8, axiom, r1_xxreal_0(1, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r9, axiom, r1_xxreal_0(1, 9)).
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_rm5, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm6, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm7, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm8, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm9, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(9))) ).
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_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r6, axiom, r1_xxreal_0(2, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r7, axiom, r1_xxreal_0(2, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r8, axiom, r1_xxreal_0(2, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r9, axiom, r1_xxreal_0(2, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm4, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm5, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm6, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm7, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm8, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm9, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(9))) ).
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_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r6, axiom, r1_xxreal_0(3, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7, axiom, r1_xxreal_0(3, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r8, axiom, r1_xxreal_0(3, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r9, axiom, r1_xxreal_0(3, 9)).
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_rm5, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm6, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm7, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm8, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(8))) ).
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_r5, axiom, r1_xxreal_0(4, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r6, axiom, r1_xxreal_0(4, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r7, axiom, r1_xxreal_0(4, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r8, axiom, r1_xxreal_0(4, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r9, axiom, r1_xxreal_0(4, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm1, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm2, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm3, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm4, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm5, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm6, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm7, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm8, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r11, axiom, r1_xxreal_0(5, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r12, axiom, r1_xxreal_0(5, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r4, axiom,  ~ (r1_xxreal_0(5, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r6, axiom, r1_xxreal_0(5, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r8, axiom, r1_xxreal_0(5, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r9, axiom, r1_xxreal_0(5, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm1, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm2, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm3, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm4, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm5, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm7, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm8, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(8))) ).
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_r5, axiom,  ~ (r1_xxreal_0(6, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r6, axiom, r1_xxreal_0(6, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r7, axiom, r1_xxreal_0(6, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r8, axiom, r1_xxreal_0(6, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r9, axiom, r1_xxreal_0(6, 9)).
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_rm5, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm6, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm7, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm8, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r1, axiom,  ~ (r1_xxreal_0(7, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r11, axiom, r1_xxreal_0(7, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r12, axiom, r1_xxreal_0(7, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r2, axiom,  ~ (r1_xxreal_0(7, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3, axiom,  ~ (r1_xxreal_0(7, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r4, axiom,  ~ (r1_xxreal_0(7, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r6, axiom,  ~ (r1_xxreal_0(7, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7, axiom, r1_xxreal_0(7, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r8, axiom, r1_xxreal_0(7, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r9, axiom, r1_xxreal_0(7, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm1, axiom,  ~ (r1_xxreal_0(7, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm2, axiom,  ~ (r1_xxreal_0(7, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm4, axiom,  ~ (r1_xxreal_0(7, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm7, axiom,  ~ (r1_xxreal_0(7, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm8, axiom,  ~ (r1_xxreal_0(7, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm9, axiom,  ~ (r1_xxreal_0(7, k4_xcmplx_0(9))) ).
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_r5, axiom,  ~ (r1_xxreal_0(8, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r6, axiom,  ~ (r1_xxreal_0(8, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r7, axiom,  ~ (r1_xxreal_0(8, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r8, axiom, r1_xxreal_0(8, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r9, axiom, r1_xxreal_0(8, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm1, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm2, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm4, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm5, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm6, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm7, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm8, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm9, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(9))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r1, axiom,  ~ (r1_xxreal_0(9, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r11, axiom, r1_xxreal_0(9, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r12, axiom, r1_xxreal_0(9, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r2, axiom,  ~ (r1_xxreal_0(9, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r3, axiom,  ~ (r1_xxreal_0(9, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r4, axiom,  ~ (r1_xxreal_0(9, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r5, axiom,  ~ (r1_xxreal_0(9, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r6, axiom,  ~ (r1_xxreal_0(9, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r7, axiom,  ~ (r1_xxreal_0(9, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r8, axiom,  ~ (r1_xxreal_0(9, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r9, axiom, r1_xxreal_0(9, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm1, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm2, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm3, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm5, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm6, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm7, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm8, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm9, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(9))) ).
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_r7, axiom, r1_xxreal_0(k4_xcmplx_0(12), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r8, axiom, r1_xxreal_0(k4_xcmplx_0(12), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm12, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(12))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm8, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(8))).
fof(rqLessOrEqual__r1_xxreal_0__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_r5, axiom, r1_xxreal_0(k4_xcmplx_0(1), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r6, axiom, r1_xxreal_0(k4_xcmplx_0(1), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r7, axiom, r1_xxreal_0(k4_xcmplx_0(1), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r8, axiom, r1_xxreal_0(k4_xcmplx_0(1), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r9, axiom, r1_xxreal_0(k4_xcmplx_0(1), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm4, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm5, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_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_r5, axiom, r1_xxreal_0(k4_xcmplx_0(2), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r6, axiom, r1_xxreal_0(k4_xcmplx_0(2), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r7, axiom, r1_xxreal_0(k4_xcmplx_0(2), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r8, axiom, r1_xxreal_0(k4_xcmplx_0(2), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r9, axiom, r1_xxreal_0(k4_xcmplx_0(2), 9)).
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_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_r9, axiom, r1_xxreal_0(k4_xcmplx_0(3), 9)).
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_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_r5, axiom, r1_xxreal_0(k4_xcmplx_0(4), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r7, axiom, r1_xxreal_0(k4_xcmplx_0(4), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r8, axiom, r1_xxreal_0(k4_xcmplx_0(4), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r1, axiom, r1_xxreal_0(k4_xcmplx_0(5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r12, axiom, r1_xxreal_0(k4_xcmplx_0(5), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r2, axiom, r1_xxreal_0(k4_xcmplx_0(5), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r3, axiom, r1_xxreal_0(k4_xcmplx_0(5), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r4, axiom, r1_xxreal_0(k4_xcmplx_0(5), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r5, axiom, r1_xxreal_0(k4_xcmplx_0(5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r6, axiom, r1_xxreal_0(k4_xcmplx_0(5), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r7, axiom, r1_xxreal_0(k4_xcmplx_0(5), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r8, axiom, r1_xxreal_0(k4_xcmplx_0(5), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm12, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(12))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm8, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__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_r9, axiom, r1_xxreal_0(k4_xcmplx_0(6), 9)).
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__rm7_r1, axiom, r1_xxreal_0(k4_xcmplx_0(7), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r12, axiom, r1_xxreal_0(k4_xcmplx_0(7), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r2, axiom, r1_xxreal_0(k4_xcmplx_0(7), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r3, axiom, r1_xxreal_0(k4_xcmplx_0(7), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r6, axiom, r1_xxreal_0(k4_xcmplx_0(7), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r7, axiom, r1_xxreal_0(k4_xcmplx_0(7), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r8, axiom, r1_xxreal_0(k4_xcmplx_0(7), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_rm7, axiom, r1_xxreal_0(k4_xcmplx_0(7), k4_xcmplx_0(7))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r1, axiom, r1_xxreal_0(k4_xcmplx_0(8), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r12, axiom, r1_xxreal_0(k4_xcmplx_0(8), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r2, axiom, r1_xxreal_0(k4_xcmplx_0(8), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r3, axiom, r1_xxreal_0(k4_xcmplx_0(8), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r4, axiom, r1_xxreal_0(k4_xcmplx_0(8), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r5, axiom, r1_xxreal_0(k4_xcmplx_0(8), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r6, axiom, r1_xxreal_0(k4_xcmplx_0(8), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r7, axiom, r1_xxreal_0(k4_xcmplx_0(8), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r8, axiom, r1_xxreal_0(k4_xcmplx_0(8), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r9, axiom, r1_xxreal_0(k4_xcmplx_0(8), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm8, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(8))).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r1, axiom, r1_xxreal_0(k4_xcmplx_0(9), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r12, axiom, r1_xxreal_0(k4_xcmplx_0(9), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r2, axiom, r1_xxreal_0(k4_xcmplx_0(9), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r7, axiom, r1_xxreal_0(k4_xcmplx_0(9), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r8, axiom, r1_xxreal_0(k4_xcmplx_0(9), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r9, axiom, r1_xxreal_0(k4_xcmplx_0(9), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_rm9, axiom, r1_xxreal_0(k4_xcmplx_0(9), k4_xcmplx_0(9))).
fof(rqRealAdd__k2_xcmplx_0__r11_r1_r12, axiom, k2_xcmplx_0(11, 1)=12).
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_rm2_r9, axiom, k2_xcmplx_0(11, k4_xcmplx_0(2))=9).
fof(rqRealAdd__k2_xcmplx_0__r11_rm3_r8, axiom, k2_xcmplx_0(11, k4_xcmplx_0(3))=8).
fof(rqRealAdd__k2_xcmplx_0__r11_rm4_r7, axiom, k2_xcmplx_0(11, k4_xcmplx_0(4))=7).
fof(rqRealAdd__k2_xcmplx_0__r11_rm5_r6, axiom, k2_xcmplx_0(11, k4_xcmplx_0(5))=6).
fof(rqRealAdd__k2_xcmplx_0__r11_rm6_r5, axiom, k2_xcmplx_0(11, k4_xcmplx_0(6))=5).
fof(rqRealAdd__k2_xcmplx_0__r11_rm7_r4, axiom, k2_xcmplx_0(11, k4_xcmplx_0(7))=4).
fof(rqRealAdd__k2_xcmplx_0__r11_rm8_r3, axiom, k2_xcmplx_0(11, k4_xcmplx_0(8))=3).
fof(rqRealAdd__k2_xcmplx_0__r11_rm9_r2, axiom, k2_xcmplx_0(11, k4_xcmplx_0(9))=2).
fof(rqRealAdd__k2_xcmplx_0__r12_rm11_r1, axiom, k2_xcmplx_0(12, k4_xcmplx_0(11))=1).
fof(rqRealAdd__k2_xcmplx_0__r12_rm1_r11, axiom, k2_xcmplx_0(12, k4_xcmplx_0(1))=11).
fof(rqRealAdd__k2_xcmplx_0__r12_rm3_r9, axiom, k2_xcmplx_0(12, k4_xcmplx_0(3))=9).
fof(rqRealAdd__k2_xcmplx_0__r12_rm4_r8, axiom, k2_xcmplx_0(12, k4_xcmplx_0(4))=8).
fof(rqRealAdd__k2_xcmplx_0__r12_rm5_r7, axiom, k2_xcmplx_0(12, k4_xcmplx_0(5))=7).
fof(rqRealAdd__k2_xcmplx_0__r12_rm6_r6, axiom, k2_xcmplx_0(12, k4_xcmplx_0(6))=6).
fof(rqRealAdd__k2_xcmplx_0__r12_rm7_r5, axiom, k2_xcmplx_0(12, k4_xcmplx_0(7))=5).
fof(rqRealAdd__k2_xcmplx_0__r12_rm8_r4, axiom, k2_xcmplx_0(12, k4_xcmplx_0(8))=4).
fof(rqRealAdd__k2_xcmplx_0__r12_rm9_r3, axiom, k2_xcmplx_0(12, k4_xcmplx_0(9))=3).
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_r4_r5, axiom, k2_xcmplx_0(1, 4)=5).
fof(rqRealAdd__k2_xcmplx_0__r1_r5_r6, axiom, k2_xcmplx_0(1, 5)=6).
fof(rqRealAdd__k2_xcmplx_0__r1_r6_r7, axiom, k2_xcmplx_0(1, 6)=7).
fof(rqRealAdd__k2_xcmplx_0__r1_r7_r8, axiom, k2_xcmplx_0(1, 7)=8).
fof(rqRealAdd__k2_xcmplx_0__r1_r8_r9, axiom, k2_xcmplx_0(1, 8)=9).
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_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom, k2_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm4_rm3, axiom, k2_xcmplx_0(1, k4_xcmplx_0(4))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm5_rm4, axiom, k2_xcmplx_0(1, k4_xcmplx_0(5))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm6_rm5, axiom, k2_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm7_rm6, axiom, k2_xcmplx_0(1, k4_xcmplx_0(7))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm8_rm7, axiom, k2_xcmplx_0(1, k4_xcmplx_0(8))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm9_rm8, axiom, k2_xcmplx_0(1, k4_xcmplx_0(9))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom, k2_xcmplx_0(2, 3)=5).
fof(rqRealAdd__k2_xcmplx_0__r2_r4_r6, axiom, k2_xcmplx_0(2, 4)=6).
fof(rqRealAdd__k2_xcmplx_0__r2_r5_r7, axiom, k2_xcmplx_0(2, 5)=7).
fof(rqRealAdd__k2_xcmplx_0__r2_r6_r8, axiom, k2_xcmplx_0(2, 6)=8).
fof(rqRealAdd__k2_xcmplx_0__r2_r7_r9, axiom, k2_xcmplx_0(2, 7)=9).
fof(rqRealAdd__k2_xcmplx_0__r2_r9_r11, axiom, k2_xcmplx_0(2, 9)=11).
fof(rqRealAdd__k2_xcmplx_0__r2_rm11_rm9, axiom, k2_xcmplx_0(2, k4_xcmplx_0(11))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm4_rm2, axiom, k2_xcmplx_0(2, k4_xcmplx_0(4))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm5_rm3, axiom, k2_xcmplx_0(2, k4_xcmplx_0(5))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm6_rm4, axiom, k2_xcmplx_0(2, k4_xcmplx_0(6))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm7_rm5, axiom, k2_xcmplx_0(2, k4_xcmplx_0(7))=k4_xcmplx_0(5)).
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__r2_rm9_rm7, axiom, k2_xcmplx_0(2, k4_xcmplx_0(9))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_r3_r6, axiom, k2_xcmplx_0(3, 3)=6).
fof(rqRealAdd__k2_xcmplx_0__r3_r4_r7, axiom, k2_xcmplx_0(3, 4)=7).
fof(rqRealAdd__k2_xcmplx_0__r3_r5_r8, axiom, k2_xcmplx_0(3, 5)=8).
fof(rqRealAdd__k2_xcmplx_0__r3_r6_r9, axiom, k2_xcmplx_0(3, 6)=9).
fof(rqRealAdd__k2_xcmplx_0__r3_r8_r11, axiom, k2_xcmplx_0(3, 8)=11).
fof(rqRealAdd__k2_xcmplx_0__r3_r9_r12, axiom, k2_xcmplx_0(3, 9)=12).
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_rm12_rm9, axiom, k2_xcmplx_0(3, k4_xcmplx_0(12))=k4_xcmplx_0(9)).
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_rm4_rm1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(4))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm5_rm2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(5))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm6_rm3, axiom, k2_xcmplx_0(3, k4_xcmplx_0(6))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm7_rm4, axiom, k2_xcmplx_0(3, k4_xcmplx_0(7))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm8_rm5, axiom, k2_xcmplx_0(3, k4_xcmplx_0(8))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm9_rm6, axiom, k2_xcmplx_0(3, k4_xcmplx_0(9))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(4, 1)=5).
fof(rqRealAdd__k2_xcmplx_0__r4_r2_r6, axiom, k2_xcmplx_0(4, 2)=6).
fof(rqRealAdd__k2_xcmplx_0__r4_r3_r7, axiom, k2_xcmplx_0(4, 3)=7).
fof(rqRealAdd__k2_xcmplx_0__r4_r4_r8, axiom, k2_xcmplx_0(4, 4)=8).
fof(rqRealAdd__k2_xcmplx_0__r4_r5_r9, axiom, k2_xcmplx_0(4, 5)=9).
fof(rqRealAdd__k2_xcmplx_0__r4_r7_r11, axiom, k2_xcmplx_0(4, 7)=11).
fof(rqRealAdd__k2_xcmplx_0__r4_r8_r12, axiom, k2_xcmplx_0(4, 8)=12).
fof(rqRealAdd__k2_xcmplx_0__r4_rm11_rm7, axiom, k2_xcmplx_0(4, k4_xcmplx_0(11))=k4_xcmplx_0(7)).
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_rm5_rm1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(5))=k4_xcmplx_0(1)).
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_rm7_rm3, axiom, k2_xcmplx_0(4, k4_xcmplx_0(7))=k4_xcmplx_0(3)).
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__r4_rm9_rm5, axiom, k2_xcmplx_0(4, k4_xcmplx_0(9))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6, axiom, k2_xcmplx_0(5, 1)=6).
fof(rqRealAdd__k2_xcmplx_0__r5_r2_r7, axiom, k2_xcmplx_0(5, 2)=7).
fof(rqRealAdd__k2_xcmplx_0__r5_r3_r8, axiom, k2_xcmplx_0(5, 3)=8).
fof(rqRealAdd__k2_xcmplx_0__r5_r4_r9, axiom, k2_xcmplx_0(5, 4)=9).
fof(rqRealAdd__k2_xcmplx_0__r5_r6_r11, axiom, k2_xcmplx_0(5, 6)=11).
fof(rqRealAdd__k2_xcmplx_0__r5_r7_r12, axiom, k2_xcmplx_0(5, 7)=12).
fof(rqRealAdd__k2_xcmplx_0__r5_rm11_rm6, axiom, k2_xcmplx_0(5, k4_xcmplx_0(11))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm12_rm7, axiom, k2_xcmplx_0(5, k4_xcmplx_0(12))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm1_r4, axiom, k2_xcmplx_0(5, k4_xcmplx_0(1))=4).
fof(rqRealAdd__k2_xcmplx_0__r5_rm2_r3, axiom, k2_xcmplx_0(5, k4_xcmplx_0(2))=3).
fof(rqRealAdd__k2_xcmplx_0__r5_rm3_r2, axiom, k2_xcmplx_0(5, k4_xcmplx_0(3))=2).
fof(rqRealAdd__k2_xcmplx_0__r5_rm4_r1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(4))=1).
fof(rqRealAdd__k2_xcmplx_0__r5_rm6_rm1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm7_rm2, axiom, k2_xcmplx_0(5, k4_xcmplx_0(7))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm8_rm3, axiom, k2_xcmplx_0(5, k4_xcmplx_0(8))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm9_rm4, axiom, k2_xcmplx_0(5, k4_xcmplx_0(9))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r6_r1_r7, axiom, k2_xcmplx_0(6, 1)=7).
fof(rqRealAdd__k2_xcmplx_0__r6_r2_r8, axiom, k2_xcmplx_0(6, 2)=8).
fof(rqRealAdd__k2_xcmplx_0__r6_r3_r9, axiom, k2_xcmplx_0(6, 3)=9).
fof(rqRealAdd__k2_xcmplx_0__r6_r5_r11, axiom, k2_xcmplx_0(6, 5)=11).
fof(rqRealAdd__k2_xcmplx_0__r6_r6_r12, axiom, k2_xcmplx_0(6, 6)=12).
fof(rqRealAdd__k2_xcmplx_0__r6_rm11_rm5, axiom, k2_xcmplx_0(6, k4_xcmplx_0(11))=k4_xcmplx_0(5)).
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_rm1_r5, axiom, k2_xcmplx_0(6, k4_xcmplx_0(1))=5).
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_rm5_r1, axiom, k2_xcmplx_0(6, k4_xcmplx_0(5))=1).
fof(rqRealAdd__k2_xcmplx_0__r6_rm7_rm1, axiom, k2_xcmplx_0(6, k4_xcmplx_0(7))=k4_xcmplx_0(1)).
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__r6_rm9_rm3, axiom, k2_xcmplx_0(6, k4_xcmplx_0(9))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r7_r1_r8, axiom, k2_xcmplx_0(7, 1)=8).
fof(rqRealAdd__k2_xcmplx_0__r7_r2_r9, axiom, k2_xcmplx_0(7, 2)=9).
fof(rqRealAdd__k2_xcmplx_0__r7_r4_r11, axiom, k2_xcmplx_0(7, 4)=11).
fof(rqRealAdd__k2_xcmplx_0__r7_r5_r12, axiom, k2_xcmplx_0(7, 5)=12).
fof(rqRealAdd__k2_xcmplx_0__r7_rm11_rm4, axiom, k2_xcmplx_0(7, k4_xcmplx_0(11))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r7_rm12_rm5, axiom, k2_xcmplx_0(7, k4_xcmplx_0(12))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r7_rm1_r6, axiom, k2_xcmplx_0(7, k4_xcmplx_0(1))=6).
fof(rqRealAdd__k2_xcmplx_0__r7_rm2_r5, axiom, k2_xcmplx_0(7, k4_xcmplx_0(2))=5).
fof(rqRealAdd__k2_xcmplx_0__r7_rm3_r4, axiom, k2_xcmplx_0(7, k4_xcmplx_0(3))=4).
fof(rqRealAdd__k2_xcmplx_0__r7_rm4_r3, axiom, k2_xcmplx_0(7, k4_xcmplx_0(4))=3).
fof(rqRealAdd__k2_xcmplx_0__r7_rm5_r2, axiom, k2_xcmplx_0(7, k4_xcmplx_0(5))=2).
fof(rqRealAdd__k2_xcmplx_0__r7_rm6_r1, axiom, k2_xcmplx_0(7, k4_xcmplx_0(6))=1).
fof(rqRealAdd__k2_xcmplx_0__r7_rm8_rm1, axiom, k2_xcmplx_0(7, k4_xcmplx_0(8))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r7_rm9_rm2, axiom, k2_xcmplx_0(7, k4_xcmplx_0(9))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r8_r1_r9, axiom, k2_xcmplx_0(8, 1)=9).
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_rm1_r7, axiom, k2_xcmplx_0(8, k4_xcmplx_0(1))=7).
fof(rqRealAdd__k2_xcmplx_0__r8_rm2_r6, axiom, k2_xcmplx_0(8, k4_xcmplx_0(2))=6).
fof(rqRealAdd__k2_xcmplx_0__r8_rm3_r5, axiom, k2_xcmplx_0(8, k4_xcmplx_0(3))=5).
fof(rqRealAdd__k2_xcmplx_0__r8_rm4_r4, axiom, k2_xcmplx_0(8, k4_xcmplx_0(4))=4).
fof(rqRealAdd__k2_xcmplx_0__r8_rm5_r3, axiom, k2_xcmplx_0(8, k4_xcmplx_0(5))=3).
fof(rqRealAdd__k2_xcmplx_0__r8_rm6_r2, axiom, k2_xcmplx_0(8, k4_xcmplx_0(6))=2).
fof(rqRealAdd__k2_xcmplx_0__r8_rm7_r1, axiom, k2_xcmplx_0(8, k4_xcmplx_0(7))=1).
fof(rqRealAdd__k2_xcmplx_0__r8_rm9_rm1, axiom, k2_xcmplx_0(8, k4_xcmplx_0(9))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r9_r2_r11, axiom, k2_xcmplx_0(9, 2)=11).
fof(rqRealAdd__k2_xcmplx_0__r9_r3_r12, axiom, k2_xcmplx_0(9, 3)=12).
fof(rqRealAdd__k2_xcmplx_0__r9_rm11_rm2, axiom, k2_xcmplx_0(9, k4_xcmplx_0(11))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r9_rm12_rm3, axiom, k2_xcmplx_0(9, k4_xcmplx_0(12))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r9_rm1_r8, axiom, k2_xcmplx_0(9, k4_xcmplx_0(1))=8).
fof(rqRealAdd__k2_xcmplx_0__r9_rm2_r7, axiom, k2_xcmplx_0(9, k4_xcmplx_0(2))=7).
fof(rqRealAdd__k2_xcmplx_0__r9_rm3_r6, axiom, k2_xcmplx_0(9, k4_xcmplx_0(3))=6).
fof(rqRealAdd__k2_xcmplx_0__r9_rm4_r5, axiom, k2_xcmplx_0(9, k4_xcmplx_0(4))=5).
fof(rqRealAdd__k2_xcmplx_0__r9_rm5_r4, axiom, k2_xcmplx_0(9, k4_xcmplx_0(5))=4).
fof(rqRealAdd__k2_xcmplx_0__r9_rm6_r3, axiom, k2_xcmplx_0(9, k4_xcmplx_0(6))=3).
fof(rqRealAdd__k2_xcmplx_0__r9_rm7_r2, axiom, k2_xcmplx_0(9, k4_xcmplx_0(7))=2).
fof(rqRealAdd__k2_xcmplx_0__r9_rm8_r1, axiom, k2_xcmplx_0(9, k4_xcmplx_0(8))=1).
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_r4_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 4)=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r6_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 6)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r7_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 7)=k4_xcmplx_0(4)).
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__rm11_r9_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 9)=k4_xcmplx_0(2)).
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_r1_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm12_r3_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 3)=k4_xcmplx_0(9)).
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_r5_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 5)=k4_xcmplx_0(7)).
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_r7_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 7)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm12_r8_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 8)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm12_r9_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 9)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r12_r11, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 12)=11).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 3)=2).
fof(rqRealAdd__k2_xcmplx_0__rm1_r4_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 4)=3).
fof(rqRealAdd__k2_xcmplx_0__rm1_r5_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 5)=4).
fof(rqRealAdd__k2_xcmplx_0__rm1_r6_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 6)=5).
fof(rqRealAdd__k2_xcmplx_0__rm1_r7_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 7)=6).
fof(rqRealAdd__k2_xcmplx_0__rm1_r8_r7, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 8)=7).
fof(rqRealAdd__k2_xcmplx_0__rm1_r9_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 9)=8).
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__rm1_rm4_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(4))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm5_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(5))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm6_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(6))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm7_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(7))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm8_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(8))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r11_r9, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 11)=9).
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_r3_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 3)=1).
fof(rqRealAdd__k2_xcmplx_0__rm2_r4_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 4)=2).
fof(rqRealAdd__k2_xcmplx_0__rm2_r5_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 5)=3).
fof(rqRealAdd__k2_xcmplx_0__rm2_r6_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 6)=4).
fof(rqRealAdd__k2_xcmplx_0__rm2_r7_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 7)=5).
fof(rqRealAdd__k2_xcmplx_0__rm2_r8_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 8)=6).
fof(rqRealAdd__k2_xcmplx_0__rm2_r9_r7, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 9)=7).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm3_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__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_rm5_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(5))=k4_xcmplx_0(7)).
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__rm2_rm7_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(7))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm9_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(9))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r11_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 11)=8).
fof(rqRealAdd__k2_xcmplx_0__rm3_r12_r9, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 12)=9).
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_r4_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 4)=1).
fof(rqRealAdd__k2_xcmplx_0__rm3_r5_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 5)=2).
fof(rqRealAdd__k2_xcmplx_0__rm3_r6_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 6)=3).
fof(rqRealAdd__k2_xcmplx_0__rm3_r7_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 7)=4).
fof(rqRealAdd__k2_xcmplx_0__rm3_r8_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 8)=5).
fof(rqRealAdd__k2_xcmplx_0__rm3_r9_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 9)=6).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm2_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm3_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(3))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm4_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(4))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm5_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(5))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm6_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(6))=k4_xcmplx_0(9)).
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__rm3_rm9_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(9))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r11_r7, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 11)=7).
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_r5_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 5)=1).
fof(rqRealAdd__k2_xcmplx_0__rm4_r6_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 6)=2).
fof(rqRealAdd__k2_xcmplx_0__rm4_r7_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 7)=3).
fof(rqRealAdd__k2_xcmplx_0__rm4_r8_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 8)=4).
fof(rqRealAdd__k2_xcmplx_0__rm4_r9_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 9)=5).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(1))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm2_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm3_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(3))=k4_xcmplx_0(7)).
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_rm5_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(5))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm7_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(7))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm8_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(8))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r11_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 11)=6).
fof(rqRealAdd__k2_xcmplx_0__rm5_r12_r7, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 12)=7).
fof(rqRealAdd__k2_xcmplx_0__rm5_r1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 1)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 2)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r3_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 3)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r4_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 4)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r6_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 6)=1).
fof(rqRealAdd__k2_xcmplx_0__rm5_r7_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 7)=2).
fof(rqRealAdd__k2_xcmplx_0__rm5_r8_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 8)=3).
fof(rqRealAdd__k2_xcmplx_0__rm5_r9_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 9)=4).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm1_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(1))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm2_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(2))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm3_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(3))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm4_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(4))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm6_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(6))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm7_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(7))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r11_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 11)=5).
fof(rqRealAdd__k2_xcmplx_0__rm6_r12_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 12)=6).
fof(rqRealAdd__k2_xcmplx_0__rm6_r1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(5)).
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_r5_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 5)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r7_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 7)=1).
fof(rqRealAdd__k2_xcmplx_0__rm6_r8_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 8)=2).
fof(rqRealAdd__k2_xcmplx_0__rm6_r9_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 9)=3).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm1_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(1))=k4_xcmplx_0(7)).
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_rm3_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(3))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm5_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(5))=k4_xcmplx_0(11)).
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__rm7_r11_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 11)=4).
fof(rqRealAdd__k2_xcmplx_0__rm7_r12_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 12)=5).
fof(rqRealAdd__k2_xcmplx_0__rm7_r1_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 1)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r2_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 2)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r3_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 3)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r4_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 4)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r5_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 5)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r6_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 6)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r8_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 8)=1).
fof(rqRealAdd__k2_xcmplx_0__rm7_r9_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 9)=2).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm1_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(1))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm2_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(2))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm4_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(4))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm5_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(5))=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_r1_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 1)=k4_xcmplx_0(7)).
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_r3_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 3)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r4_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 4)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r5_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 5)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r6_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 6)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r7_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 7)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r9_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 9)=1).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm1_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(1))=k4_xcmplx_0(9)).
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(rqRealAdd__k2_xcmplx_0__rm9_r11_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 11)=2).
fof(rqRealAdd__k2_xcmplx_0__rm9_r12_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 12)=3).
fof(rqRealAdd__k2_xcmplx_0__rm9_r1_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 1)=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r2_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 2)=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r3_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 3)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r4_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 4)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r5_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 5)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r6_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 6)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r7_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 7)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r8_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 8)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm2_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(9), k4_xcmplx_0(2))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm3_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(9), k4_xcmplx_0(3))=k4_xcmplx_0(12)).
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__r5_rm5, axiom, k4_xcmplx_0(5)=k4_xcmplx_0(5)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__r7_rm7, axiom, k4_xcmplx_0(7)=k4_xcmplx_0(7)).
fof(rqRealNeg__k4_xcmplx_0__r8_rm8, axiom, k4_xcmplx_0(8)=k4_xcmplx_0(8)).
fof(rqRealNeg__k4_xcmplx_0__r9_rm9, axiom, k4_xcmplx_0(9)=k4_xcmplx_0(9)).
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__rm5_r5, axiom, k4_xcmplx_0(k4_xcmplx_0(5))=5).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rm7_r7, axiom, k4_xcmplx_0(k4_xcmplx_0(7))=7).
fof(rqRealNeg__k4_xcmplx_0__rm8_r8, axiom, k4_xcmplx_0(k4_xcmplx_0(8))=8).
fof(rqRealNeg__k4_xcmplx_0__rm9_r9, axiom, k4_xcmplx_0(k4_xcmplx_0(9))=9).
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_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
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_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
fof(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
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_numerals, axiom,  (v2_xxreal_0(9) & m1_subset_1(9, k4_ordinal1)) ).
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_scmp_gcd, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) => k2_scmpds_2(A, B)=k1_scmp_gcd(k2_xcmplx_0(A, B))) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
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_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_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_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)) ) ) ) ) ) ) ) ).
