% Mizar problem: t45_measure9,measure9,3411,5 
fof(t45_measure9, conjecture,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (v1_prob_2(A) &  (v1_prob_2(B) & r1_xboole_0(k3_tarski(k10_xtuple_0(A)), k3_tarski(k10_xtuple_0(B)))) )  => v1_prob_2(k7_finseq_1(A, B))) ) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_numpoly1(A))  =>  (v7_ordinal1(A) & v2_numpoly1(A, 3)) ) ) ).
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_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_numpoly1(A, 4))  =>  (v7_ordinal1(A) & v1_pythtrip(A)) ) ) ).
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_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc12_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_pythtrip(A))  =>  (v7_ordinal1(A) & v2_numpoly1(A, 4)) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
fof(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc15_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v3_valued_0(A) & v7_valued_0(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v3_valued_0(A)) ) ) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc15_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_int_2(A))  =>  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_int_2(A)) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc16_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_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(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_numpoly1, axiom,  (! [A] :  (v8_ordinal1(A) =>  (v1_pythtrip(A) & v1_numpoly1(A)) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
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(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_finsub_1, axiom,  (! [A] :  (v4_finsub_1(A) =>  (v1_finsub_1(A) & v3_finsub_1(A)) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (v7_ordinal1(A) & v1_ec_pf_2(A, 2)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_setfam_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc1_simplex0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_classes1(A)) ) ).
fof(cc1_srings_3, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( ( ~ (v1_xboole_0(B))  & v3_finsub_1(B))  =>  ~ (v1_setfam_1(B)) ) ) ) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_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(cc1_xxreal_3, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  ~ (v1_xreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_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_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_finsub_1, axiom,  (! [A] :  ( (v1_finsub_1(A) & v3_finsub_1(A))  => v4_finsub_1(A)) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 2))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_simplex0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_srings_3, axiom,  (! [A] :  (v3_finsub_1(A) =>  (v2_finsub_1(A) & v1_srings_3(A)) ) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_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(cc2_xxreal_3, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v1_xreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_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_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 4))  =>  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_ec_pf_2(A, 3)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc3_setfam_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  ~ (v2_setfam_1(A)) ) ) ).
fof(cc3_simplex0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes1(A))  =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc3_srings_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc3_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_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_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v1_ec_pf_2(A, 4))  =>  ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A)) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc4_setfam_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v2_setfam_1(A)) ) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_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_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_numpoly1, axiom,  (! [A] :  (v1_numpoly1(A) => v7_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc5_roughs_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_prob_2(A)) ) ) ) ).
fof(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_funct_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v2_numpoly1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc6_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_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_numpoly1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  & v7_ordinal1(A))  =>  (! [B] :  (v2_numpoly1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v4_relat_1(B, A)) ) ) ) ) ) ).
fof(cc7_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_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  (v1_ec_pf_2(A, 4) & v1_numpoly1(A)) )  =>  (v7_ordinal1(A) &  ( ~ (v1_int_2(A))  & v1_ec_pf_2(A, 4)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_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_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v2_numpoly1(A, 3))  =>  (v7_ordinal1(A) & v1_numpoly1(A)) ) ) ).
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_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, A)) ) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d1_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_finseq_1(A)=a_1_0_finseq_1(A)) ) ).
fof(d2_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  ( (r2_hidden(B, k9_xtuple_0(A)) =>  (C=k1_funct_1(A, B) <=> r2_hidden(k4_tarski(B, C), A)) )  &  ( ~ (r2_hidden(B, k9_xtuple_0(A)))  =>  (C=k1_funct_1(A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ).
fof(d2_prob_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_prob_2(A) <=>  (! [B] :  (! [C] :  ( ~ (B=C)  => r1_xboole_0(k1_funct_1(A, B), k1_funct_1(A, C))) ) ) ) ) ) ).
fof(d4_tarski, axiom,  (! [A] :  (! [B] :  (B=k3_tarski(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (r2_hidden(C, D) & r2_hidden(D, A)) ) ) ) ) ) ) ).
fof(d7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (C=k7_finseq_1(A, B) <=>  (k4_finseq_1(C)=k2_finseq_1(k1_nat_1(k3_finseq_1(A), k3_finseq_1(B))) &  ( (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(A)) => k1_funct_1(C, D)=k1_funct_1(A, D)) ) )  &  (! [D] :  (v7_ordinal1(D) =>  (r2_tarski(D, k4_finseq_1(B)) => k1_funct_1(C, k2_xcmplx_0(k3_finseq_1(A), D))=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_finseq_1, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k3_finseq_1(A), k4_ordinal1)) ) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_tarski, axiom, $true).
fof(dt_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k4_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ( ~ (v1_finset_1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  => v1_setfam_1(k10_xtuple_0(A))) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc11_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc12_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_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
fof(fc13_setfam_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  ~ (v1_xboole_0(k3_tarski(A))) ) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_finseq_1(k1_finseq_1(A))) ) ).
fof(fc15_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_card_1, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) )  => v3_card_1(k9_xtuple_0(B), A)) ) ).
fof(fc17_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc17_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc17_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ) ).
fof(fc18_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc18_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
fof(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(fc19_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc1_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc1_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k1_finseq_1(A))) ) ).
fof(fc1_finsub_1, axiom,  (! [A] : v4_finsub_1(k1_zfmisc_1(A))) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc1_srings_3, axiom,  (! [A] : v1_srings_3(k1_zfmisc_1(A))) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  => v1_membered(k10_xtuple_0(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc24_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  ( ~ (v1_xboole_0(k7_finseq_1(A, B)))  & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc25_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, A)) &  (v1_funct_1(k7_finseq_1(B, A)) &  ( ~ (v1_xboole_0(k7_finseq_1(B, A)))  & v1_finseq_1(k7_finseq_1(B, A))) ) ) ) ) ).
fof(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc2_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k1_finseq_1(A))) ) ) ).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  => v2_membered(k10_xtuple_0(A))) ) ).
fof(fc31_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc32_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k7_xcmplx_0(B, A))) ) ) ).
fof(fc33_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc34_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc38_finseq_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(fc39_finseq_1, axiom,  (! [A, B, C] :  ( (v4_finseq_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) ) )  => v1_finseq_1(k1_funct_1(B, C))) ) ).
fof(fc3_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc3_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k1_finseq_1(A))) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc3_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k3_tarski(A))) ) ).
fof(fc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  => v3_membered(k10_xtuple_0(A))) ) ).
fof(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
fof(fc4_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v8_ordinal1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc4_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_card_1(k1_finseq_1(A), A)) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  => v4_membered(k10_xtuple_0(A))) ) ).
fof(fc54_finseq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc55_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v6_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v6_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v6_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc56_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v5_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc57_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v4_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v4_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v4_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc58_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v3_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc59_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_numbers, axiom,  ~ (v1_xboole_0(k6_numbers)) ).
fof(fc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  => v5_membered(k10_xtuple_0(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(fc60_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v2_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(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_card_1, axiom, v1_card_1(k4_ordinal1)).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  => v6_membered(k10_xtuple_0(A))) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_numbers, axiom,  ~ (v1_finset_1(k3_numbers)) ).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc8_card_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc8_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k7_xcmplx_0(A, B))) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k10_xtuple_0(A))) ) ) ).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fraenkel_a_1_0_finseq_1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_finseq_1(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k3_finseq_1(A))=k3_finseq_1(A)) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc16_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v6_valued_0(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_finsub_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finsub_1(A) &  (v2_finsub_1(A) & v3_finsub_1(A)) ) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_numpoly1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] :  (v1_xreal_0(B) &  (v1_xcmplx_0(B) &  (v1_xxreal_0(B) & v1_ec_pf_2(B, A)) ) ) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_setfam_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_setfam_1(A)) ) ).
fof(rc1_srings_3, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  &  (v2_finsub_1(B) & v1_srings_3(B)) ) ) ) ) ).
fof(rc1_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_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(rc1_xxreal_3, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ~ (v1_xreal_0(A)) ) ) ) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_setfam_1, axiom,  (? [A] :  ~ (v2_setfam_1(A)) ) ).
fof(rc2_srings_3, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) & v1_srings_3(B)) ) ) ) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_valued_0(A) &  (v5_valued_0(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(rc2_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(rc2_xxreal_3, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v3_xxreal_0(A) &  ~ (v1_xreal_0(A)) ) ) ) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_numpoly1, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_numpoly1(A)) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rc3_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc3_srings_3, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  & v4_finsub_1(B)) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, 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_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc4_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_numpoly1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] : v2_numpoly1(B, 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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_numpoly1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (? [B] :  ( ~ (v8_ordinal1(B))  & v2_numpoly1(B, A)) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc6_funct_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_funct_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_finseq_1(A)=k1_finseq_1(A)) ) ).
fof(redefinition_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k4_finseq_1(A)=k9_xtuple_0(A)) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r4, axiom, r1_xxreal_0(0, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm3, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm4, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d2, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d4, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn2d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d2, axiom, r1_xxreal_0(0, k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d4, axiom, r1_xxreal_0(0, k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn4d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(4, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d3, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d4, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm3d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm3d4, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm3, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm4, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn2d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d2, axiom, r1_xxreal_0(1, k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn4d3, axiom, r1_xxreal_0(1, k7_xcmplx_0(4, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm3d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm3d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm4d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(4), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r4, axiom, r1_xxreal_0(2, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm4, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d4, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn2d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d4, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn4d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(4, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d4, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm3d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ (r1_xxreal_0(3, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom, r1_xxreal_0(3, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm2, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm3, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm4, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn2d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn4d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(4, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm3d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm3d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm4d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(4), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r0, axiom,  ~ (r1_xxreal_0(4, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ (r1_xxreal_0(4, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r2, axiom,  ~ (r1_xxreal_0(4, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ (r1_xxreal_0(4, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(4, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm1, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm2, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm3, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm4, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d2, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d3, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn2d3, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn3d2, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn3d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn4d3, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(4, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rnm1d2, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rnm1d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rnm3d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(1), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(1), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(1), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r3, axiom, r1_xxreal_0(k4_xcmplx_0(1), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r4, axiom, r1_xxreal_0(k4_xcmplx_0(1), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm4, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d4, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn2d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn3d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn3d4, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn4d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(4, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d4, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm3d2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm4d3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(4), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom, r1_xxreal_0(k4_xcmplx_0(2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r3, axiom, r1_xxreal_0(k4_xcmplx_0(2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r4, axiom, r1_xxreal_0(k4_xcmplx_0(2), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rn1d4, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom, r1_xxreal_0(k4_xcmplx_0(3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom, r1_xxreal_0(k4_xcmplx_0(3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r2, axiom, r1_xxreal_0(k4_xcmplx_0(3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r3, axiom, r1_xxreal_0(k4_xcmplx_0(3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r4, axiom, r1_xxreal_0(k4_xcmplx_0(3), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rn1d4, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rn3d4, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d4, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r0, axiom, r1_xxreal_0(k4_xcmplx_0(4), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r1, axiom, r1_xxreal_0(k4_xcmplx_0(4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r2, axiom, r1_xxreal_0(k4_xcmplx_0(4), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r3, axiom, r1_xxreal_0(k4_xcmplx_0(4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r4, axiom, r1_xxreal_0(k4_xcmplx_0(4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(4), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm3d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm3d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r4, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn2d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn4d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(4, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r1, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r3, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r4, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm3d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 3), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r4, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_rn4d3, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(4, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm3d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rnm3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm3d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom, k2_xcmplx_0(0, 3)=3).
fof(rqRealAdd__k2_xcmplx_0__r0_r4_r4, axiom, k2_xcmplx_0(0, 4)=4).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom, k2_xcmplx_0(0, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm4_rm4, axiom, k2_xcmplx_0(0, k4_xcmplx_0(4))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d3_rn1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d4_rn1d4, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn4d3_rn4d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(4, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d3_rnm1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm2d3_rnm2d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r1_r3_r4, axiom, k2_xcmplx_0(1, 3)=4).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom, k2_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm4_rm3, axiom, k2_xcmplx_0(1, k4_xcmplx_0(4))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2, axiom, k2_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(1, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=0).
fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm4_rm2, axiom, k2_xcmplx_0(2, k4_xcmplx_0(4))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm2d3_rn4d3, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(1))=2).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(2))=1).
fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom, k2_xcmplx_0(3, k4_xcmplx_0(3))=0).
fof(rqRealAdd__k2_xcmplx_0__r3_rm4_rm1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(4))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r4_r0_r4, axiom, k2_xcmplx_0(4, 0)=4).
fof(rqRealAdd__k2_xcmplx_0__r4_rm1_r3, axiom, k2_xcmplx_0(4, k4_xcmplx_0(1))=3).
fof(rqRealAdd__k2_xcmplx_0__r4_rm2_r2, axiom, k2_xcmplx_0(4, k4_xcmplx_0(2))=2).
fof(rqRealAdd__k2_xcmplx_0__r4_rm3_r1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(3))=1).
fof(rqRealAdd__k2_xcmplx_0__r4_rm4_r0, axiom, k2_xcmplx_0(4, k4_xcmplx_0(4))=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 3)=2).
fof(rqRealAdd__k2_xcmplx_0__rm1_r4_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 4)=3).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d4_rnm3d4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn4d3_rn1d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(4, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d3_rnm4d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=0).
fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 3)=1).
fof(rqRealAdd__k2_xcmplx_0__rm2_r4_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 4)=2).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 2)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 3)=0).
fof(rqRealAdd__k2_xcmplx_0__rm3_r4_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 4)=1).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 2)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r3_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 3)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r4_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 4)=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d4_rn3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 4))=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=2).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_r0_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), 1)=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rm1_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_r0_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), 0)=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rm1_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(3, 4))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d2_rnm1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), 0)=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(4, 3))=2).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=2).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))=3).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn1d4_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 4))=1).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 4))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d2_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d2_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=0).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_r0_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), 0)=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_rm2_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(2, 3))=2).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d4_rnm1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d4_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r0_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rm1_rnm4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn4d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(4, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 1)=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d2_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 4))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(3, 4))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d2_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm3d4_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r0_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 1)=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r2_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 2)=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn1d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(2, 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm2d3_rnm4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm4d3_rm2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d4_rnm3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), 1)=k7_xcmplx_0(1, 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn1d2_rnm1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn1d4_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d2_rn3d4, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 4)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(3, 4))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm3d4_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r3_rm3, axiom, k6_xcmplx_0(0, 3)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r0_r4_rm4, axiom, k6_xcmplx_0(0, 4)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rm3_r3, axiom, k6_xcmplx_0(0, k4_xcmplx_0(3))=3).
fof(rqRealDiff__k6_xcmplx_0__r0_rm4_r4, axiom, k6_xcmplx_0(0, k4_xcmplx_0(4))=4).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4, axiom, k6_xcmplx_0(0, k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn4d3_rnm4d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d3_rn1d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm3d4_rn3d4, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2, axiom, k6_xcmplx_0(1, 3)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r1_r4_rm3, axiom, k6_xcmplx_0(1, 4)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom, k6_xcmplx_0(1, k4_xcmplx_0(2))=3).
fof(rqRealDiff__k6_xcmplx_0__r1_rm3_r4, axiom, k6_xcmplx_0(1, k4_xcmplx_0(3))=4).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 4))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4, axiom, k6_xcmplx_0(1, k7_xcmplx_0(3, 4))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1, axiom, k6_xcmplx_0(2, 3)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r2_r4_rm2, axiom, k6_xcmplx_0(2, 4)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom, k6_xcmplx_0(2, k4_xcmplx_0(1))=3).
fof(rqRealDiff__k6_xcmplx_0__r2_rm2_r4, axiom, k6_xcmplx_0(2, k4_xcmplx_0(2))=4).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2, axiom, k6_xcmplx_0(2, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3, axiom, k6_xcmplx_0(2, k7_xcmplx_0(2, 3))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2, axiom, k6_xcmplx_0(2, k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3, axiom, k6_xcmplx_0(2, k7_xcmplx_0(4, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom, k6_xcmplx_0(3, 0)=3).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(3, 1)=2).
fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom, k6_xcmplx_0(3, 2)=1).
fof(rqRealDiff__k6_xcmplx_0__r3_r3_r0, axiom, k6_xcmplx_0(3, 3)=0).
fof(rqRealDiff__k6_xcmplx_0__r3_r4_rm1, axiom, k6_xcmplx_0(3, 4)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r3_rm1_r4, axiom, k6_xcmplx_0(3, k4_xcmplx_0(1))=4).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2, axiom, k6_xcmplx_0(3, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r4_r0_r4, axiom, k6_xcmplx_0(4, 0)=4).
fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom, k6_xcmplx_0(4, 1)=3).
fof(rqRealDiff__k6_xcmplx_0__r4_r2_r2, axiom, k6_xcmplx_0(4, 2)=2).
fof(rqRealDiff__k6_xcmplx_0__r4_r3_r1, axiom, k6_xcmplx_0(4, 3)=1).
fof(rqRealDiff__k6_xcmplx_0__r4_r4_r0, axiom, k6_xcmplx_0(4, 4)=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 2)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r3_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 3)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=2).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm4_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(4))=3).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r2_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=1).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm4_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(4))=2).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm4d3_rnm2d3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 0)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r1_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(3))=0).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm4_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(4))=1).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm4_r0_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 0)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm4_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(4))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 2)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=2).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), 1)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(4, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), 0)=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=1).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 0)=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 2)=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm4d3_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=2).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 3)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 4))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=2).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=3).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), 0)=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 4))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d2_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(3, 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=1).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm3d4_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), 0)=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), 1)=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), 2)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(1, 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn2d3_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(4, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rnm2d3_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=2).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm4d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k4_xcmplx_0(1))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(3, 4))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_r0_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(1))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(2))=k7_xcmplx_0(4, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(4, 3))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm4d3_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r0_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d4_rnm3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k4_xcmplx_0(1))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 4))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn3d4_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d2_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rm1_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k4_xcmplx_0(2))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rn2d3_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(2, 3))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(1, 2)=k7_xcmplx_0(1, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3, axiom, k7_xcmplx_0(1, 3)=k7_xcmplx_0(1, 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4, axiom, k7_xcmplx_0(1, 4)=k7_xcmplx_0(1, 4)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom, k7_xcmplx_0(1, k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3, axiom, k7_xcmplx_0(1, k4_xcmplx_0(3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4, axiom, k7_xcmplx_0(1, k4_xcmplx_0(4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 2))=2).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 3))=3).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 4))=4).
fof(rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(2, 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(3, 4))=k7_xcmplx_0(4, 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn4d3_rn3d4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(4, 3))=k7_xcmplx_0(3, 4)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k4_xcmplx_0(4)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(2, 1)=2).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(2, 2)=1).
fof(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3, axiom, k7_xcmplx_0(2, 3)=k7_xcmplx_0(2, 3)).
fof(rqRealDiv__k7_xcmplx_0__r2_r4_rn1d2, axiom, k7_xcmplx_0(2, 4)=k7_xcmplx_0(1, 2)).
fof(rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4, axiom, k7_xcmplx_0(2, k7_xcmplx_0(1, 2))=4).
fof(rqRealDiv__k7_xcmplx_0__r2_rn4d3_rn3d2, axiom, k7_xcmplx_0(2, k7_xcmplx_0(4, 3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r3_r1_r3, axiom, k7_xcmplx_0(3, 1)=3).
fof(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2, axiom, k7_xcmplx_0(3, 2)=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r3_r3_r1, axiom, k7_xcmplx_0(3, 3)=1).
fof(rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4, axiom, k7_xcmplx_0(3, 4)=k7_xcmplx_0(3, 4)).
fof(rqRealDiv__k7_xcmplx_0__r4_r2_r2, axiom, k7_xcmplx_0(4, 2)=2).
fof(rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3, axiom, k7_xcmplx_0(4, 3)=k7_xcmplx_0(4, 3)).
fof(rqRealDiv__k7_xcmplx_0__r4_r4_r1, axiom, k7_xcmplx_0(4, 4)=1).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm3_r4_rnm3d4, axiom, k7_xcmplx_0(k4_xcmplx_0(3), 4)=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiv__k7_xcmplx_0__rn1d2_r2_rn1d4, axiom, k7_xcmplx_0(k7_xcmplx_0(1, 2), 2)=k7_xcmplx_0(1, 4)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom, k4_xcmplx_0(3)=k4_xcmplx_0(3)).
fof(rqRealNeg__k4_xcmplx_0__r4_rm4, axiom, k4_xcmplx_0(4)=k4_xcmplx_0(4)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom, k4_xcmplx_0(k4_xcmplx_0(3))=3).
fof(rqRealNeg__k4_xcmplx_0__rm4_r4, axiom, k4_xcmplx_0(k4_xcmplx_0(4))=4).
fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4, axiom, k4_xcmplx_0(k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3, axiom, k4_xcmplx_0(k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(3, 4)).
fof(rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(4, 3)).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_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(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(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t25_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( (r2_tarski(C, k4_finseq_1(k7_finseq_1(A, B))) &  ( ~ (r2_tarski(C, k4_finseq_1(A)))  &  (! [D] :  (v7_ordinal1(D) =>  ~ ( (r2_tarski(D, k4_finseq_1(B)) & C=k2_xcmplx_0(k3_finseq_1(A), D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t3_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B, A), k10_xtuple_0(B))) ) ) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t3_xboole_0, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (r1_xboole_0(A, B))  &  (! [C] :  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) )  &  ~ ( ( (? [C] :  (r2_hidden(C, A) & r2_hidden(C, B)) )  & r1_xboole_0(A, B)) ) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t65_xboole_1, axiom,  (! [A] : r1_xboole_0(A, k1_xboole_0)) ).
fof(t6_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
