% Mizar problem: l78_quaterni,quaterni,1749,7 
fof(l78_quaterni, conjecture,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k22_quaterni(A, B)=k21_quaterni(k21_quaterni(k18_quaterni(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k12_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k15_quaterni(B))), k20_quaterni(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k13_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k15_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k14_quaterni(B))), k1_xcmplx_0)), k20_quaterni(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k14_quaterni(B)), k3_xcmplx_0(k14_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k15_quaterni(B))), k10_quaterni)), k20_quaterni(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k15_quaterni(B)), k3_xcmplx_0(k15_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k13_quaterni(B))), k11_quaterni))) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc10_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_0(B)) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc11_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_0(B)) ) ) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (v1_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_valued_0(C)) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (v2_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v2_valued_0(C)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (v3_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v3_valued_0(C)) ) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (v4_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v4_valued_0(C)) ) ) ) ).
fof(cc1_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_quaterni, axiom,  (! [A] :  (m1_subset_1(A, k1_quaterni) => v1_quaterni(A)) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc1_xxreal_0, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => v1_xxreal_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc20_valued_0, axiom,  (! [A, B] :  (v5_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v5_valued_0(C)) ) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(commutativity_k21_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k21_quaterni(A, B)=k21_quaterni(B, A)) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(commutativity_k6_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k6_quaterni(A, B)=k6_quaterni(B, A)) ) ).
fof(d10_quaterni, axiom, k10_quaterni=k5_quaterni(k5_numbers, k5_numbers, 1, k5_numbers)).
fof(d11_quaterni, axiom, k11_quaterni=k5_quaterni(k5_numbers, k5_numbers, k5_numbers, 1)).
fof(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0).
fof(d1_quaterni, axiom, k1_quaterni=k2_xboole_0(k6_subset_1(k9_funct_2(4, k1_numbers), a_0_0_quaterni), k2_numbers)).
fof(d1_xcmplx_0, axiom, k1_xcmplx_0=k7_funct_4(k4_ordinal1, k5_numbers, 1, k5_numbers, 1)).
fof(d3_quaterni, axiom, k3_quaterni=k2_quaterni(k4_ordinal1, k5_numbers, 1, 2, 3, k5_numbers, k5_numbers, 1, k5_numbers)).
fof(d4_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k6_funct_4(A, B, C, D)=k1_funct_4(k17_funcop_1(A, C), k17_funcop_1(B, D))) ) ) ) ).
fof(d4_quaterni, axiom, k4_quaterni=k2_quaterni(k4_ordinal1, k5_numbers, 1, 2, 3, k5_numbers, k5_numbers, k5_numbers, 1)).
fof(d7_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k12_funct_4(A, B, C, D, E, F, G, H)=k1_funct_4(k6_funct_4(A, B, E, F), k6_funct_4(C, D, G, H))) ) ) ) ) ) ) ) ).
fof(d7_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k6_xcmplx_0(A, B)=k2_xcmplx_0(A, k4_xcmplx_0(B))) ) ) ) ).
fof(dt_k10_quaterni, axiom, m1_subset_1(k10_quaterni, k1_quaterni)).
fof(dt_k11_quaterni, axiom, m1_subset_1(k11_quaterni, k1_quaterni)).
fof(dt_k12_funct_4, axiom, $true).
fof(dt_k12_quaterni, axiom, $true).
fof(dt_k13_quaterni, axiom, $true).
fof(dt_k14_quaterni, axiom, $true).
fof(dt_k15_quaterni, axiom, $true).
fof(dt_k17_funcop_1, axiom, $true).
fof(dt_k18_quaterni, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_quaterni, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xcmplx_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k20_quaterni, axiom, $true).
fof(dt_k21_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => m1_subset_1(k21_quaterni(A, B), k1_quaterni)) ) ).
fof(dt_k22_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => m1_subset_1(k22_quaterni(A, B), k1_quaterni)) ) ).
fof(dt_k2_enumset1, axiom, $true).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_quaterni, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) &  (m1_subset_1(H, A) & m1_subset_1(I, A)) ) ) )  =>  (v1_funct_1(k2_quaterni(A, B, C, D, E, F, G, H, I)) &  (v1_funct_2(k2_quaterni(A, B, C, D, E, F, G, H, I), k2_enumset1(B, C, D, E), A) & m1_subset_1(k2_quaterni(A, B, C, D, E, F, G, H, I), k1_zfmisc_1(k2_zfmisc_1(k2_enumset1(B, C, D, E), A)))) ) ) ) ).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_quaterni, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_quaterni, axiom, $true).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_quaterni, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xreal_0(C) & v1_xreal_0(D)) ) )  => m1_subset_1(k5_quaterni(A, B, C, D), k1_quaterni)) ) ).
fof(dt_k6_funct_4, axiom, $true).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_quaterni, axiom, $true).
fof(dt_k6_subset_1, axiom,  (! [A, B] : m1_subset_1(k6_subset_1(A, B), k1_zfmisc_1(A))) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_funct_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) )  =>  (v1_funct_1(k7_funct_4(A, B, C, D, E)) &  (v1_funct_2(k7_funct_4(A, B, C, D, E), k2_tarski(B, C), A) & m1_subset_1(k7_funct_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_tarski(B, C), A)))) ) ) ) ).
fof(dt_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => m1_funct_2(k9_funct_2(A, B), A, B)) ) ).
fof(dt_k9_quaterni, axiom, $true).
fof(dt_m1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
fof(existence_m1_funct_2, axiom,  (! [A, B] :  (? [C] : m1_funct_2(C, A, B)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (? [D] : m2_funct_2(D, A, B, C)) ) ) ).
fof(fc10_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_xreal_0(k15_quaterni(A))) ) ).
fof(fc10_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  &  (v1_relat_1(B) & v4_valued_0(B)) )  => v4_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v5_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc11_quaterni, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_quaterni(B))  => v1_quaterni(k18_quaterni(A, B))) ) ).
fof(fc11_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  &  (v1_relat_1(B) & v5_valued_0(B)) )  => v5_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc12_quaterni, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_quaterni(B))  => v1_quaterni(k20_quaterni(A, B))) ) ).
fof(fc12_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  &  (v1_relat_1(B) & v6_valued_0(B)) )  => v6_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc13_funct_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => v4_relat_1(k6_funct_4(B, C, D, E), A)) ) ).
fof(fc13_membered, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_membered(k2_tarski(A, B))) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_funct_4, axiom,  (! [A, B] : v1_zfmisc_1(k17_funcop_1(A, B))) ).
fof(fc14_membered, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v2_membered(k2_tarski(A, B))) ) ).
fof(fc14_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  & v1_relat_1(B))  => v1_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_membered, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v3_membered(k2_tarski(A, B))) ) ).
fof(fc15_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_funct_4, axiom,  (! [A, B, C, D, E, F, G, H] :  (v1_relat_1(k12_funct_4(A, B, C, D, E, F, G, H)) & v1_funct_1(k12_funct_4(A, B, C, D, E, F, G, H))) ) ).
fof(fc16_membered, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v4_membered(k2_tarski(A, B))) ) ).
fof(fc16_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  & v1_relat_1(B))  => v2_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_membered, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v5_membered(k2_tarski(A, B))) ) ).
fof(fc17_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ) ).
fof(fc18_membered, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v6_membered(k2_tarski(A, B))) ) ).
fof(fc18_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  & v1_relat_1(B))  => v3_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc1_funct_7, axiom,  (! [A, B] :  ~ (v1_xboole_0(k17_funcop_1(A, B))) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc1_quaterni, axiom,  ~ (v1_xboole_0(k1_quaterni)) ).
fof(fc1_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  &  (v1_relat_1(C) & v4_relat_1(C, A)) )  => v4_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  & v1_relat_1(B))  => v4_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc22_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  & v1_relat_1(B))  => v5_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  & v1_relat_1(B))  => v6_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_membered, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k2_xboole_0(A, B))) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_membered, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k2_xboole_0(A, B))) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc27_membered, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k2_xboole_0(A, B))) ) ).
fof(fc28_membered, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k2_xboole_0(A, B))) ) ).
fof(fc29_membered, axiom,  (! [A, B] :  ( (v5_membered(A) & v5_membered(B))  => v5_membered(k2_xboole_0(A, B))) ) ).
fof(fc2_funct_4, axiom,  (! [A, B, C, D] :  (v1_relat_1(k6_funct_4(A, B, C, D)) & v1_funct_1(k6_funct_4(A, B, C, D))) ) ).
fof(fc2_funct_7, axiom,  (! [A, B, C, D] :  ~ (v1_xboole_0(k6_funct_4(A, B, C, D))) ) ).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc2_quaterni, axiom, v1_quaterni(k1_xcmplx_0)).
fof(fc30_membered, axiom,  (! [A, B] :  ( (v6_membered(A) & v6_membered(B))  => v6_membered(k2_xboole_0(A, B))) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc3_quaterni, axiom, v1_quaterni(k3_quaterni)).
fof(fc3_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc3_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(A, B))) ) ).
fof(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
fof(fc43_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k4_xboole_0(A, B))) ) ).
fof(fc44_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k4_xboole_0(A, B))) ) ).
fof(fc45_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k4_xboole_0(A, B))) ) ).
fof(fc46_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k4_xboole_0(A, B))) ) ).
fof(fc47_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k4_xboole_0(A, B))) ) ).
fof(fc48_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k4_xboole_0(A, B))) ) ).
fof(fc4_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) &  ~ (v1_xboole_0(k1_funct_4(A, B))) ) ) ) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_quaterni, axiom, v1_quaterni(k4_quaterni)).
fof(fc4_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  &  (v1_relat_1(C) & v5_relat_1(C, A)) )  => v5_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc4_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(A, B))) ) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc5_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, A)) &  (v1_funct_1(k1_funct_4(B, A)) &  ~ (v1_xboole_0(k1_funct_4(B, A))) ) ) ) ) ).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_numbers, axiom,  ~ (v1_xboole_0(k6_numbers)) ).
fof(fc5_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => v1_quaterni(k6_quaterni(A, B))) ) ).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_xcmplx_0(k1_funct_1(A, B))) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => v1_xxreal_0(k1_funct_1(A, B))) ) ).
fof(fc63_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_funct_1(A, B))) ) ).
fof(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => v1_quaterni(k9_quaterni(A, B))) ) ).
fof(fc6_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc73_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc74_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v2_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc75_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v3_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc76_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v4_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v4_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc77_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v5_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v5_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc78_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v6_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v6_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc79_valued_0, axiom,  (! [A, B] :  (v1_xcmplx_0(B) => v1_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc7_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_funcop_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc7_numbers, axiom,  ~ (v1_finset_1(k3_numbers)) ).
fof(fc7_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_xreal_0(k12_quaterni(A))) ) ).
fof(fc7_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  &  (v1_relat_1(B) & v1_valued_0(B)) )  => v1_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc80_valued_0, axiom,  (! [A, B] :  (v1_xxreal_0(B) => v2_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc81_valued_0, axiom,  (! [A, B] :  (v1_xreal_0(B) => v3_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc82_valued_0, axiom,  (! [A, B] :  (v1_rat_1(B) => v4_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc83_valued_0, axiom,  (! [A, B] :  (v1_int_1(B) => v5_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc84_valued_0, axiom,  (! [A, B] :  (v7_ordinal1(B) => v6_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc89_valued_0, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc8_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v4_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_xreal_0(k13_quaterni(A))) ) ).
fof(fc8_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  &  (v1_relat_1(B) & v2_valued_0(B)) )  => v2_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_quaterni, axiom,  (! [A] :  (v1_quaterni(A) => v1_xreal_0(k14_quaterni(A))) ) ).
fof(fc9_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  &  (v1_relat_1(B) & v3_valued_0(B)) )  => v3_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fraenkel_a_0_0_quaterni, axiom,  (! [A] :  (r2_hidden(A, a_0_0_quaterni) <=>  (? [B] :  (m2_funct_2(B, 4, k1_numbers, k9_funct_2(4, k1_numbers)) &  (A=B &  (k1_funct_1(B, 2)=k5_numbers & k1_funct_1(B, 3)=k5_numbers) ) ) ) ) ) ).
fof(idempotence_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, A)=A) ) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(l65_quaterni, axiom,  (! [A] :  (v1_quaterni(A) =>  (! [B] :  (v1_quaterni(B) => k9_quaterni(A, B)=k5_quaterni(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k12_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k15_quaterni(B))), k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k13_quaterni(B)), k3_xcmplx_0(k13_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k15_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k14_quaterni(B))), k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k14_quaterni(B)), k3_xcmplx_0(k14_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k15_quaterni(A), k13_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k15_quaterni(B))), k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A), k15_quaterni(B)), k3_xcmplx_0(k15_quaterni(A), k12_quaterni(B))), k3_xcmplx_0(k13_quaterni(A), k14_quaterni(B))), k3_xcmplx_0(k14_quaterni(A), k13_quaterni(B))))) ) ) ) ).
fof(l75_quaterni, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) => k5_quaterni(A, B, C, D)=k6_quaterni(k6_quaterni(k18_quaterni(A, k20_quaterni(B, k1_xcmplx_0)), k20_quaterni(C, k10_quaterni)), k20_quaterni(D, k11_quaterni))) ) ) ) ) ) ) ) ).
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(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_quaterni, axiom,  (? [A] : v1_quaterni(A)) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(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(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_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(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
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_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(B, A)=A) ) ).
fof(rd2_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(A, B)=A) ) ).
fof(rd4_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(k1_funct_4(A, B), B)=k1_funct_4(A, B)) ) ).
fof(redefinition_k10_quaterni, axiom, k10_quaterni=k3_quaterni).
fof(redefinition_k11_quaterni, axiom, k11_quaterni=k4_quaterni).
fof(redefinition_k21_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k21_quaterni(A, B)=k6_quaterni(A, B)) ) ).
fof(redefinition_k22_quaterni, axiom,  (! [A, B] :  ( (v1_quaterni(A) & v1_quaterni(B))  => k22_quaterni(A, B)=k9_quaterni(A, B)) ) ).
fof(redefinition_k2_quaterni, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(F, A) &  (m1_subset_1(G, A) &  (m1_subset_1(H, A) & m1_subset_1(I, A)) ) ) )  => k2_quaterni(A, B, C, D, E, F, G, H, I)=k12_funct_4(B, C, D, E, F, G, H, I)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_subset_1, axiom,  (! [A, B] : k6_subset_1(A, B)=k4_xboole_0(A, B)) ).
fof(redefinition_k7_funct_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) )  => k7_funct_4(A, B, C, D, E)=k6_funct_4(B, C, D, E)) ) ).
fof(redefinition_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_funct_2(A, B)=k1_funct_2(A, B)) ) ).
fof(redefinition_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_cr1r0_cr2r0, axiom, k2_xcmplx_0(k1_xcmplx_0, k1_xcmplx_0)=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_cr2r0_cr3r0, axiom, k2_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_cr3r0_cr4r0, axiom, k2_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(3, k1_xcmplx_0))=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_crm2r0_crm1r0, axiom, k2_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_crm3r0_crm2r0, axiom, k2_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_r1_cr1r1, axiom, k2_xcmplx_0(k1_xcmplx_0, 1)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_cr1r0_cr3r0, axiom, k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_cr2r0_cr4r0, axiom, k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_crm1r0_cr1r0, axiom, k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_crm4r0_crm2r0, axiom, k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr3r0_cr1r0_cr4r0, axiom, k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr4r0_crm2r0_cr2r0, axiom, k2_xcmplx_0(k3_xcmplx_0(4, k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_cr2r0_cr1r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_cr3r0_cr2r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(3, k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_crm1r0_crm2r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_crm2r0_crm3r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_crm3r0_crm4r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_r1_crm1r1, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_cr1r0_crm1r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_cr3r0_cr1r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(3, k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_cr4r0_cr2r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(4, k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_crm1r0_crm3r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_crm2r0_crm4r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm4r0_cr1r0_crm3r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm4r0_cr2r0_crm2r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__r1_cr1r0_cr1r1, axiom, k2_xcmplx_0(1, k1_xcmplx_0)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealAdd__k2_xcmplx_0__r1_crm1r0_crm1r1, axiom, k2_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r1_r3_r4, axiom, k2_xcmplx_0(1, 3)=4).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom, k2_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm4_rm3, axiom, k2_xcmplx_0(1, k4_xcmplx_0(4))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_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__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(1))=2).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(2))=1).
fof(rqRealAdd__k2_xcmplx_0__r3_rm4_rm1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(4))=k4_xcmplx_0(1)).
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__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 3)=2).
fof(rqRealAdd__k2_xcmplx_0__rm1_r4_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 4)=3).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__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_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__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_rm1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(4)).
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(rqRealDiff__k6_xcmplx_0__cr1r0_cr1r1_rm1, axiom, k6_xcmplx_0(k1_xcmplx_0, k2_xcmplx_0(k1_xcmplx_0, 1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1rm1_r1, axiom, k6_xcmplx_0(k1_xcmplx_0, k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=1).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr2r0_crm1r0, axiom, k6_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr3r0_crm2r0, axiom, k6_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(3, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr4r0_crm3r0, axiom, k6_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(4, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm1r0_cr2r0, axiom, k6_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm2r0_cr3r0, axiom, k6_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r1_cr1rm1, axiom, k6_xcmplx_0(k1_xcmplx_0, 1)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r2_cr1rm2, axiom, k6_xcmplx_0(k1_xcmplx_0, 2)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r3_cr1rm3, axiom, k6_xcmplx_0(k1_xcmplx_0, 3)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(3))).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r4_cr1rm4, axiom, k6_xcmplx_0(k1_xcmplx_0, 4)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(4))).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rm1_cr1r1, axiom, k6_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rm2_cr1r2, axiom, k6_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_cr1r0_r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k1_xcmplx_0)=1).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_crm1r0_cr2r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_r1_cr1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), 1)=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_rm1_cr1r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k4_xcmplx_0(1))=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealDiff__k6_xcmplx_0__cr1r2_cr1r0_r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2), k1_xcmplx_0)=2).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_cr1r0_rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k1_xcmplx_0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_crm1r0_cr2rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_rm1_cr1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k4_xcmplx_0(1))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__cr1rm2_cr1r0_rm2, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2)), k1_xcmplx_0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__cr1rm3_cr1r0_rm3, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(3)), k1_xcmplx_0)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_cr1r0_cr1r0, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k1_xcmplx_0)=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_cr2rm2_r2, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)))=2).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_crm1r0_cr3r0, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_crm2r0_cr4r0, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_r1_cr2rm1, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_r2_cr2rm2, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_rm2_cr2r2, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__cr2rm2_cr2r0_rm2, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)), k3_xcmplx_0(2, k1_xcmplx_0))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__cr3r0_cr1r0_cr2r0, axiom, k6_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr3r0_crm1r0_cr4r0, axiom, k6_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr3r0_r3_cr3rm3, axiom, k6_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), 3)=k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k4_xcmplx_0(3))).
fof(rqRealDiff__k6_xcmplx_0__cr3rm3_cr3r0_rm3, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k4_xcmplx_0(3)), k3_xcmplx_0(3, k1_xcmplx_0))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__cr4r0_cr1r0_cr3r0, axiom, k6_xcmplx_0(k3_xcmplx_0(4, k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr1r0_crm2r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr2r0_crm3r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm1r1_rm1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm2r0_cr1r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm3r0_cr2r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm4r0_cr3r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0))=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r1_crm1rm1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r2_crm1rm2, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r3_crm1rm3, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 3)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(3))).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm1_crm1r1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm2_crm1r2, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm3_crm1r3, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(3))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 3)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm4_crm1r4, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(4))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 4)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_cr1r0_crm2r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_cr1r1_crm2r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k2_xcmplx_0(k1_xcmplx_0, 1))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_crm1r0_r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=1).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_r1_crm1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 1)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_rm1_crm1r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_rm2_crm1r3, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 3)).
fof(rqRealDiff__k6_xcmplx_0__crm1r2_crm1r0_r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=2).
fof(rqRealDiff__k6_xcmplx_0__crm1r2_rm2_crm1r4, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 4)).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_cr1r0_crm2rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_crm1r0_rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_rm1_crm1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k4_xcmplx_0(1))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_rm2_crm1r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_rm3_crm1r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k4_xcmplx_0(3))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_rm4_crm1r3, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k4_xcmplx_0(4))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 3)).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_cr1r0_crm3r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_cr2r0_crm4r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_crm1r0_crm1r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_rm1_crm2r1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_rm2_crm2r2, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__crm2r1_rm1_crm2r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__crm2rm1_rm1_crm2r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1)), k4_xcmplx_0(1))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm3r0_cr1r0_crm4r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm3r0_crm1r0_crm2r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm3r0_rm3_crm3r3, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), k4_xcmplx_0(3))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), 3)).
fof(rqRealDiff__k6_xcmplx_0__crm4r0_crm1r0_crm3r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r1_cr1r0_crm1r1, axiom, k6_xcmplx_0(1, k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_cr1r1_crm1r0, axiom, k6_xcmplx_0(1, k2_xcmplx_0(k1_xcmplx_0, 1))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r1_cr2r0_crm2r1, axiom, k6_xcmplx_0(1, k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_cr2r1_crm2r0, axiom, k6_xcmplx_0(1, k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r1_cr3r0_crm3r1, axiom, k6_xcmplx_0(1, k3_xcmplx_0(3, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_crm1r0_cr1r1, axiom, k6_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_crm1r1_cr1r0, axiom, k6_xcmplx_0(1, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__r1_crm2r0_cr2r1, axiom, k6_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_crm3r0_cr3r1, axiom, k6_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2, axiom, k6_xcmplx_0(1, 3)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r1_r4_rm3, axiom, k6_xcmplx_0(1, 4)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom, k6_xcmplx_0(1, k4_xcmplx_0(2))=3).
fof(rqRealDiff__k6_xcmplx_0__r1_rm3_r4, axiom, k6_xcmplx_0(1, k4_xcmplx_0(3))=4).
fof(rqRealDiff__k6_xcmplx_0__r2_cr1r0_crm1r2, axiom, k6_xcmplx_0(2, k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_cr1r1_crm1r1, axiom, k6_xcmplx_0(2, k2_xcmplx_0(k1_xcmplx_0, 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r2_cr2r0_crm2r2, axiom, k6_xcmplx_0(2, k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_crm1r0_cr1r2, axiom, k6_xcmplx_0(2, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_crm1r1_cr1r1, axiom, k6_xcmplx_0(2, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__r2_crm2r0_cr2r2, axiom, k6_xcmplx_0(2, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1, axiom, k6_xcmplx_0(2, 3)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r2_r4_rm2, axiom, k6_xcmplx_0(2, 4)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom, k6_xcmplx_0(2, k4_xcmplx_0(1))=3).
fof(rqRealDiff__k6_xcmplx_0__r2_rm2_r4, axiom, k6_xcmplx_0(2, k4_xcmplx_0(2))=4).
fof(rqRealDiff__k6_xcmplx_0__r3_cr1r0_crm1r3, axiom, k6_xcmplx_0(3, k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 3)).
fof(rqRealDiff__k6_xcmplx_0__r3_cr2r0_crm2r3, axiom, k6_xcmplx_0(3, k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 3)).
fof(rqRealDiff__k6_xcmplx_0__r3_cr3r0_crm3r3, axiom, k6_xcmplx_0(3, k3_xcmplx_0(3, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), 3)).
fof(rqRealDiff__k6_xcmplx_0__r3_crm3r0_cr3r3, axiom, k6_xcmplx_0(3, k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), 3)).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(3, 1)=2).
fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom, k6_xcmplx_0(3, 2)=1).
fof(rqRealDiff__k6_xcmplx_0__r3_r4_rm1, axiom, k6_xcmplx_0(3, 4)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r3_rm1_r4, axiom, k6_xcmplx_0(3, k4_xcmplx_0(1))=4).
fof(rqRealDiff__k6_xcmplx_0__r4_cr1r0_crm1r4, axiom, k6_xcmplx_0(4, k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 4)).
fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom, k6_xcmplx_0(4, 1)=3).
fof(rqRealDiff__k6_xcmplx_0__r4_r2_r2, axiom, k6_xcmplx_0(4, 2)=2).
fof(rqRealDiff__k6_xcmplx_0__r4_r3_r1, axiom, k6_xcmplx_0(4, 3)=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr1r0_crm1rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr1rm1_crm1r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr2r0_crm2rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr2rm1_crm2r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1)))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr3r0_crm3rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k3_xcmplx_0(3, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm1r0_cr1rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm1rm1_cr1r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm2r0_cr2rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm3r0_cr3rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 2)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r3_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 3)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=2).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm4_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(4))=3).
fof(rqRealDiff__k6_xcmplx_0__rm2_cr1r0_crm1rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__rm2_cr2r0_crm2rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__rm2_crm1r0_cr1rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__rm2_crm2r0_cr2rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r2_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=1).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm4_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(4))=2).
fof(rqRealDiff__k6_xcmplx_0__rm3_cr1r0_crm1rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(3))).
fof(rqRealDiff__k6_xcmplx_0__rm3_cr2r0_crm2rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(3))).
fof(rqRealDiff__k6_xcmplx_0__rm3_cr3r0_crm3rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k3_xcmplx_0(3, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), k4_xcmplx_0(3))).
fof(rqRealDiff__k6_xcmplx_0__rm3_crm3r0_cr3rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k4_xcmplx_0(3))).
fof(rqRealDiff__k6_xcmplx_0__rm3_r1_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm4_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(4))=1).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_cr1r0_rm1, axiom, k3_xcmplx_0(k1_xcmplx_0, k1_xcmplx_0)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_cr2r0_rm2, axiom, k3_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(2, k1_xcmplx_0))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_cr3r0_rm3, axiom, k3_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(3, k1_xcmplx_0))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm1r0_r1, axiom, k3_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=1).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm1r1_cr1r1, axiom, k3_xcmplx_0(k1_xcmplx_0, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm2r0_r2, axiom, k3_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=2).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm3r0_r3, axiom, k3_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=3).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r1_cr1r0, axiom, k3_xcmplx_0(k1_xcmplx_0, 1)=k1_xcmplx_0).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r2_cr2r0, axiom, k3_xcmplx_0(k1_xcmplx_0, 2)=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r3_cr3r0, axiom, k3_xcmplx_0(k1_xcmplx_0, 3)=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_rm2_crm2r0, axiom, k3_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__cr1r1_cr1r0_cr1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k1_xcmplx_0)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1r1_crm1r0_crm1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r1_r1_cr1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), 1)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r2_cr1r0_cr2rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1r2_crm1r0_crm2r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r2_r1_cr1r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2), 1)=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_cr1r0_crm1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_cr2r0_crm2rm2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_cr3r0_crm3rm3, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(3, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), k4_xcmplx_0(3))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crm1r0_cr1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crm2r0_cr2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crm3r0_cr3r3, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), 3)).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_r1_cr1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), 1)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_r2_cr2rm2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), 2)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_rm2_crm2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__cr2r0_cr1r0_rm2, axiom, k3_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k1_xcmplx_0)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__cr2r0_cr2r0_rm4, axiom, k3_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__cr2r0_r1_cr2r0, axiom, k3_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__cr2r0_r2_cr4r0, axiom, k3_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__cr2rm1_r1_cr2rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1)), 1)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr2rm2_r1_cr2rm2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)), 1)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealMult__k3_xcmplx_0__cr3r0_cr1r0_rm3, axiom, k3_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k1_xcmplx_0)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__cr3r0_r1_cr3r0, axiom, k3_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), 1)=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__cr3rm3_r1_cr3rm3, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k4_xcmplx_0(3)), 1)=k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), k4_xcmplx_0(3))).
fof(rqRealMult__k3_xcmplx_0__cr4r0_r1_cr4r0, axiom, k3_xcmplx_0(k3_xcmplx_0(4, k1_xcmplx_0), 1)=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_cr1r0_r1, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k1_xcmplx_0)=1).
fof(rqRealMult__k3_xcmplx_0__crm1r0_cr2r0_r2, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=2).
fof(rqRealMult__k3_xcmplx_0__crm1r0_cr3r0_r3, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(3, k1_xcmplx_0))=3).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crm1r0_rm1, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crm2r0_rm2, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crm3r0_rm3, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_r1_crm1r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_r2_crm2r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_r3_crm3r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 3)=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_rm2_cr2r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_cr1r0_cr1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k1_xcmplx_0)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_cr2r0_cr2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_crm1r0_crm1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm1r1_r1_crm1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_r2_crm2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 2)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_rm2_cr2rm2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealMult__k3_xcmplx_0__crm1r2_cr1r0_cr2r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm1r2_crm1r0_crm2rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm1r2_r1_crm1r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_cr1r0_crm1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_crm1r0_cr1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_r1_crm1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm2r0_cr1r0_r2, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k1_xcmplx_0)=2).
fof(rqRealMult__k3_xcmplx_0__crm2r0_cr2r0_r4, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=4).
fof(rqRealMult__k3_xcmplx_0__crm2r0_crm1r0_rm2, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__crm2r0_r1_crm2r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm2r1_r1_crm2r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm2r2_r1_crm2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__crm3r0_r1_crm3r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), 1)=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm3r3_r1_crm3r3, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), 3), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), 3)).
fof(rqRealMult__k3_xcmplx_0__crm4r0_r1_crm4r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0), 1)=k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r1_cr1r0_cr1r0, axiom, k3_xcmplx_0(1, k1_xcmplx_0)=k1_xcmplx_0).
fof(rqRealMult__k3_xcmplx_0__r1_cr1r1_cr1r1, axiom, k3_xcmplx_0(1, k2_xcmplx_0(k1_xcmplx_0, 1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__r1_cr2r0_cr2r0, axiom, k3_xcmplx_0(1, k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r1_crm1r0_crm1r0, axiom, k3_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r1_crm1r1_crm1r1, axiom, k3_xcmplx_0(1, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__r1_crm2r0_crm2r0, axiom, k3_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom, k3_xcmplx_0(1, 4)=4).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rm3_rm3, axiom, k3_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__r1_rm4_rm4, axiom, k3_xcmplx_0(1, k4_xcmplx_0(4))=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__r2_cr1r0_cr2r0, axiom, k3_xcmplx_0(2, k1_xcmplx_0)=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r2_cr2r0_cr4r0, axiom, k3_xcmplx_0(2, k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r2_crm1r0_crm2r0, axiom, k3_xcmplx_0(2, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
fof(rqRealMult__k3_xcmplx_0__r2_rm2_rm4, axiom, k3_xcmplx_0(2, k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__r3_cr1r0_cr3r0, axiom, k3_xcmplx_0(3, k1_xcmplx_0)=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r3_crm1r0_crm3r0, axiom, k3_xcmplx_0(3, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(rqRealMult__k3_xcmplx_0__r4_cr1r0_cr4r0, axiom, k3_xcmplx_0(4, k1_xcmplx_0)=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r4_crm1r0_crm4r0, axiom, k3_xcmplx_0(4, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
fof(rqRealMult__k3_xcmplx_0__rm2_cr1r0_crm2r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm2_cr2r0_crm4r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm2_crm1r0_cr2r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm2_crm2r0_cr4r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_r2_rm4, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__rm2_rm2_r4, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=4).
fof(rqRealMult__k3_xcmplx_0__rm3_cr1r0_crm3r0, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm3_crm1r0_cr3r0, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm3_r1_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rm4_cr1r0_crm4r0, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm4_crm1r0_cr4r0, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm4_r1_rm4, axiom, k3_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(4)).
fof(rqRealNeg__k4_xcmplx_0__cr1r0_crm1r0, axiom, k4_xcmplx_0(k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__cr1r1_crm1rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__cr1r2_crm1rm2, axiom, k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealNeg__k4_xcmplx_0__cr1rm1_crm1r1, axiom, k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealNeg__k4_xcmplx_0__cr2r0_crm2r0, axiom, k4_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__cr2r1_crm2rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__cr2r2_crm2rm2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealNeg__k4_xcmplx_0__cr2rm2_crm2r2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealNeg__k4_xcmplx_0__cr3r0_crm3r0, axiom, k4_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__cr3r3_crm3rm3, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), 3))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), k4_xcmplx_0(3))).
fof(rqRealNeg__k4_xcmplx_0__cr4r0_crm4r0, axiom, k4_xcmplx_0(k3_xcmplx_0(4, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__crm1r0_cr1r0, axiom, k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealNeg__k4_xcmplx_0__crm1r1_cr1rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__crm1r2_cr1rm2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))).
fof(rqRealNeg__k4_xcmplx_0__crm1rm1_cr1r1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealNeg__k4_xcmplx_0__crm1rm2_cr1r2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2)))=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealNeg__k4_xcmplx_0__crm2r0_cr2r0, axiom, k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__crm2r1_cr2rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__crm2r2_cr2rm2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealNeg__k4_xcmplx_0__crm2rm1_cr2r1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1)))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)).
fof(rqRealNeg__k4_xcmplx_0__crm2rm2_cr2r2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2)))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealNeg__k4_xcmplx_0__crm3r0_cr3r0, axiom, k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0))=k3_xcmplx_0(3, k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__crm3rm3_cr3r3, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3), k1_xcmplx_0), k4_xcmplx_0(3)))=k2_xcmplx_0(k3_xcmplx_0(3, k1_xcmplx_0), 3)).
fof(rqRealNeg__k4_xcmplx_0__crm4r0_cr4r0, axiom, k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4), k1_xcmplx_0))=k3_xcmplx_0(4, k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom, k4_xcmplx_0(3)=k4_xcmplx_0(3)).
fof(rqRealNeg__k4_xcmplx_0__r4_rm4, axiom, k4_xcmplx_0(4)=k4_xcmplx_0(4)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom, k4_xcmplx_0(k4_xcmplx_0(3))=3).
fof(rqRealNeg__k4_xcmplx_0__rm4_r4, axiom, k4_xcmplx_0(k4_xcmplx_0(4))=4).
fof(spc1_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
