% Mizar problem: t10_qc_trans,qc_trans,617,5 
fof(t10_qc_trans, conjecture,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_henmodel(B, A) & m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))))  =>  (! [C] :  ( (v1_qc_trans(C, A) & m1_qc_lang1(C))  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k3_cqc_lang(C))) =>  (r1_tarski(B, D) =>  (! [E] :  ( ~ (v1_xboole_0(E))  =>  (! [F] :  (m1_valuat_1(F, C, E) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(C), E, k2_valuat_1(C, E)) =>  ~ ( (r6_calcul_1(C, D, E, F, G) &  (! [H] :  ( ~ (v1_xboole_0(H))  =>  (! [I] :  (m1_valuat_1(I, A, H) =>  (! [J] :  (m2_funct_2(J, k3_qc_lang1(A), H, k2_valuat_1(A, H)) =>  ~ (r6_calcul_1(A, B, H, I, J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_card_3, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(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_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_funcop_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_margrel1, axiom,  (! [A] :  (v1_xboole_0(A) => v2_card_3(A)) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v1_relat_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc1_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v1_henmodel(B, A) => v2_qc_trans(B, A, A)) ) ) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_card_3, axiom,  (! [A, B] :  (v1_setfam_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v2_relat_1(C) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_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_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (v2_qc_trans(B, A, A) => v1_henmodel(B, 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_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_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(cc3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_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_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_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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_card_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(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_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k9_funct_2(A, C)))) =>  ( (v1_funct_1(D) & v1_funct_2(D, B, k9_funct_2(A, C)))  =>  (v1_funct_1(D) &  (v1_funct_2(D, B, k9_funct_2(A, C)) & v1_funcop_1(D)) ) ) ) ) ) ) ).
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_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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(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_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_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_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_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(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_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_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_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(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_card_3, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_card_3(B)) ) ) ) ).
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_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_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(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_card_3, axiom,  (! [A] :  (v2_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_card_3(B)) ) ) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_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(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_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d11_calcul_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_valuat_1(D, A, C) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  (r6_calcul_1(A, B, C, D, E) <=>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (r2_tarski(F, B) => r1_valuat_1(A, C, F, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] : k1_valuat_1(A, B)=k1_funct_2(k3_qc_lang1(A), B)) ) ) ).
fof(d2_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k1_qc_lang1(A)=k10_xtuple_0(A)) ) ).
fof(d3_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k2_qc_lang1(A)=k2_xboole_0(k2_zfmisc_1(k1_tarski(6), k4_ordinal1), k2_zfmisc_1(k2_tarski(4, 5), k1_qc_lang1(A)))) ) ).
fof(d3_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => k1_qc_trans(A, B, C)=C) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k3_qc_lang1(A)=k2_zfmisc_1(k1_tarski(4), k1_qc_lang1(A))) ) ).
fof(d5_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k6_qc_lang1(A), k2_margrel1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_qc_lang1(A), k2_margrel1(B))))) )  =>  (m1_valuat_1(C, A, B) <=>  (! [D] :  (m1_subset_1(D, k6_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k2_margrel1(B)) =>  ~ ( (r1_margrel1(B, k3_funct_2(k6_qc_lang1(A), k2_margrel1(B), C, D), E) &  ( ~ (r1_margrel1(B, E, k3_margrel1(B)))  &  ~ (k7_qc_lang1(A, D)=k4_margrel1(B, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => k6_qc_lang1(A)=a_1_0_qc_lang1(A)) ) ).
fof(d8_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k6_qc_lang1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (C=k7_qc_lang1(A, B) <=> k1_xtuple_0(B)=k2_xcmplx_0(7, C)) ) ) ) ) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k1_qc_lang1(A))) ) ) ).
fof(dt_k1_qc_trans, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k1_qc_trans(A, B, C), k9_qc_lang1(B), k3_cqc_lang(B))) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_valuat_1, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xtuple_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_margrel1, axiom, $true).
fof(dt_k2_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k2_partfun1(A, B, C, D)) & m1_subset_1(k2_partfun1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(dt_k2_qc_lang1, axiom, $true).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_valuat_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ~ (v1_xboole_0(B)) )  => m1_funct_2(k2_valuat_1(A, B), k3_qc_lang1(A), B)) ) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k3_cqc_lang(A), k1_zfmisc_1(k9_qc_lang1(A)))) ) ).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k3_margrel1(A), k2_margrel1(A))) ) ).
fof(dt_k3_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k3_qc_lang1(A), k1_zfmisc_1(k2_qc_lang1(A)))) ) ).
fof(dt_k4_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k2_margrel1(A)))  => m1_subset_1(k4_margrel1(A, B), k4_ordinal1)) ) ).
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_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k5_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k5_relset_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(dt_k6_qc_lang1, axiom, $true).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k6_qc_lang1(A)))  => v7_ordinal1(k7_qc_lang1(A, B))) ) ).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => m1_funct_2(k9_funct_2(A, B), A, B)) ) ).
fof(dt_k9_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k9_qc_lang1(A))) ) ) ).
fof(dt_m1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ).
fof(dt_m1_qc_lang1, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m1_valuat_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_valuat_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k6_qc_lang1(A), k2_margrel1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_qc_lang1(A), k2_margrel1(B))))) ) ) ) ) ) ).
fof(dt_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
fof(dt_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ) ).
fof(existence_m1_funct_2, axiom,  (! [A, B] :  (? [C] : m1_funct_2(C, A, B)) ) ).
fof(existence_m1_qc_lang1, axiom,  (? [A] : m1_qc_lang1(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m1_valuat_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ~ (v1_xboole_0(B)) )  =>  (? [C] : m1_valuat_1(C, A, B)) ) ) ).
fof(existence_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (? [D] : m2_funct_2(D, A, B, C)) ) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (? [C] : m2_subset_1(C, A, B)) ) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
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_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_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_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_finseq_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_finseq_1(k5_relat_1(A, B))) ) ) ).
fof(fc13_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc14_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funcop_1(k5_relat_1(A, B))) ) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(A, B))) ) ).
fof(fc15_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
fof(fc16_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_finseq_1(k1_tarski(A))) ) ).
fof(fc16_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc17_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_funct_1(k5_relat_1(A, B))) ) ) ).
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_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc17_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ) ).
fof(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_finseq_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v3_finseq_1(B))  => v3_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(fc19_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_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_card_3(k5_relat_1(A, B))) ) ) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc1_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc1_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_margrel1(A))) ) ) ).
fof(fc1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k1_qc_lang1(A))) ) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc1_xtuple_0, axiom,  (! [A, B] : v1_xtuple_0(k4_tarski(A, B))) ).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc23_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc26_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_finset_1(B))  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc26_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_relat_1(k5_relat_1(C, A), B)) ) ) ).
fof(fc27_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc27_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) &  (v4_relat_1(k5_relat_1(C, A), A) & v4_relat_1(k5_relat_1(C, A), B)) ) ) ) ).
fof(fc2_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k3_cqc_lang(A))) ) ) ).
fof(fc2_finset_1, axiom,  (! [A, B] : v1_finset_1(k2_tarski(A, B))) ).
fof(fc2_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k2_qc_lang1(A))) ) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc30_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_tarski(A))) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc31_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc32_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v5_finset_1(k2_tarski(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_finset_1, axiom,  (! [A, B] :  ( (v5_finset_1(A) & v5_finset_1(B))  => v5_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc33_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc33_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc34_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
fof(fc35_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  => v1_finset_1(k1_funct_1(A, B))) ) ).
fof(fc36_finseq_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v4_finseq_1(B))  => v4_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
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_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k3_qc_lang1(A))) ) ) ).
fof(fc3_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k2_xboole_0(A, B))) ) ).
fof(fc3_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(A, B))) ) ).
fof(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
fof(fc4_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(A, B))) ) ) ).
fof(fc5_margrel1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_card_3(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_margrel1(k5_relat_1(A, B))) ) ) ).
fof(fc5_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) &  (v5_relat_1(k5_relat_1(A, B), k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ) ).
fof(fc5_relat_1, axiom,  (! [A, B] : v1_relat_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc5_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k6_qc_lang1(A))) ) ) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc7_relat_1, axiom,  (! [A, B, C, D] : v1_relat_1(k2_tarski(k4_tarski(A, B), k4_tarski(C, D)))) ).
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_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funct_1(k5_relat_1(A, B))) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
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_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc9_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
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_qc_lang1, axiom,  (! [A, B] :  (m1_qc_lang1(B) =>  (r2_hidden(A, a_1_0_qc_lang1(B)) <=>  (? [C, D] :  ( (v7_ordinal1(C) & m1_subset_1(D, k1_qc_lang1(B)))  &  (A=k4_tarski(C, D) & r1_xxreal_0(7, C)) ) ) ) ) ) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(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_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
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(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ).
fof(rc1_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_goedelcp, axiom,  (? [A] :  (m1_qc_lang1(A) & v4_card_3(A)) ) ).
fof(rc1_henmodel, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) & v1_henmodel(B, A)) ) ) ) ).
fof(rc1_margrel1, axiom,  (? [A] :  (v4_finseq_1(A) & v2_card_3(A)) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] :  (m1_qc_lang1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) & v1_qc_trans(B, A)) ) ) ) ) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
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_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xtuple_0, axiom,  (? [A] : v1_xtuple_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_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_qc_trans, axiom,  (! [A, B] :  ( ( (v4_card_3(A) & m1_qc_lang1(A))  &  (v4_card_3(B) & m1_qc_lang1(B)) )  =>  (? [C] :  (m1_qc_lang1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_card_3(C) &  (v1_qc_trans(C, A) & v1_qc_trans(C, B)) ) ) ) ) ) ) ) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
fof(rc3_finset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k3_cqc_lang(A))) &  ( ~ (v1_xboole_0(B))  & v1_henmodel(B, 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_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(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_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_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_margrel1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v2_margrel1(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(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_card_3, axiom,  (? [A] : v5_card_3(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_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(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_1(A)) ) ) ) ).
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_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
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_finset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ).
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_finset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
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_xtuple_0, axiom,  (! [A, B] : k1_xtuple_0(k4_tarski(A, B))=A) ).
fof(rd5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => k5_relat_1(k5_relat_1(A, B), B)=k5_relat_1(A, B)) ) ).
fof(rd8_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=B) ) ).
fof(redefinition_k2_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => k2_partfun1(A, B, C, D)=k5_relat_1(C, D)) ) ).
fof(redefinition_k2_valuat_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ~ (v1_xboole_0(B)) )  => k2_valuat_1(A, B)=k1_valuat_1(A, B)) ) ).
fof(redefinition_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => k3_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(redefinition_k5_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k5_relset_1(A, B, C, D)=k5_relat_1(C, D)) ) ).
fof(redefinition_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_funct_2(A, B)=k1_funct_2(A, B)) ) ).
fof(redefinition_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(redefinition_r1_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_margrel1(A)) & m1_subset_1(C, k2_margrel1(A))) )  =>  (r1_margrel1(A, B, C) <=> B=C) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_margrel1(A)) & m1_subset_1(C, k2_margrel1(A))) )  => r1_margrel1(A, B, 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_r4, axiom, r1_xxreal_0(0, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r6, axiom, r1_xxreal_0(0, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r7, axiom, r1_xxreal_0(0, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm4, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm5, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm6, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm7, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d4, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d5, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 5))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d6, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 6))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn4d5, axiom, r1_xxreal_0(0, k7_xcmplx_0(4, 5))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn5d4, axiom, r1_xxreal_0(0, k7_xcmplx_0(5, 4))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn5d6, axiom, r1_xxreal_0(0, k7_xcmplx_0(5, 6))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn7d6, axiom, r1_xxreal_0(0, k7_xcmplx_0(7, 6))).
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_rnm1d6, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm5d6, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(5), 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r6, axiom, r1_xxreal_0(1, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm4, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm5, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm6, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm7, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d5, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d6, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d7, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn5d4, axiom, r1_xxreal_0(1, k7_xcmplx_0(5, 4))).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn5d6, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(5, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn7d6, axiom, r1_xxreal_0(1, k7_xcmplx_0(7, 6))).
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_rnm1d5, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d6, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm5d6, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(5), 6))) ).
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_r4, axiom, r1_xxreal_0(4, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r5, axiom, r1_xxreal_0(4, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r6, axiom, r1_xxreal_0(4, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r7, axiom, r1_xxreal_0(4, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm1, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm4, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm5, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm6, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm7, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d5, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d6, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn4d5, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(4, 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn4d7, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(4, 7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn5d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(5, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn5d6, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(5, 6))) ).
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__r5_r0, axiom,  ~ (r1_xxreal_0(5, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r4, axiom,  ~ (r1_xxreal_0(5, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r6, axiom, r1_xxreal_0(5, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm1, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm4, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm5, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm7, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d4, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d5, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(1, 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d6, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(1, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn4d5, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(4, 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn5d4, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(5, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn5d6, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(5, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn5d7, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(5, 7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rnm1d4, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rnm1d5, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(k4_xcmplx_0(1), 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rnm5d6, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(k4_xcmplx_0(5), 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r0, axiom,  ~ (r1_xxreal_0(6, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r1, axiom,  ~ (r1_xxreal_0(6, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r4, axiom,  ~ (r1_xxreal_0(6, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r5, axiom,  ~ (r1_xxreal_0(6, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r6, axiom, r1_xxreal_0(6, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r7, axiom, r1_xxreal_0(6, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm1, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm4, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm5, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm6, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm7, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d4, axiom,  ~ (r1_xxreal_0(6, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d6, axiom,  ~ (r1_xxreal_0(6, k7_xcmplx_0(1, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn5d4, axiom,  ~ (r1_xxreal_0(6, k7_xcmplx_0(5, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn5d6, axiom,  ~ (r1_xxreal_0(6, k7_xcmplx_0(5, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn6d7, axiom,  ~ (r1_xxreal_0(6, k7_xcmplx_0(6, 7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rnm1d6, axiom,  ~ (r1_xxreal_0(6, k7_xcmplx_0(k4_xcmplx_0(1), 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rnm5d6, axiom,  ~ (r1_xxreal_0(6, k7_xcmplx_0(k4_xcmplx_0(5), 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r0, axiom,  ~ (r1_xxreal_0(7, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r1, axiom,  ~ (r1_xxreal_0(7, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r4, axiom,  ~ (r1_xxreal_0(7, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r6, axiom,  ~ (r1_xxreal_0(7, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7, axiom, r1_xxreal_0(7, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm1, axiom,  ~ (r1_xxreal_0(7, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm4, axiom,  ~ (r1_xxreal_0(7, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm7, axiom,  ~ (r1_xxreal_0(7, k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn1d6, axiom,  ~ (r1_xxreal_0(7, k7_xcmplx_0(1, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn1d7, axiom,  ~ (r1_xxreal_0(7, k7_xcmplx_0(1, 7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn4d7, axiom,  ~ (r1_xxreal_0(7, k7_xcmplx_0(4, 7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn5d6, axiom,  ~ (r1_xxreal_0(7, k7_xcmplx_0(5, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn5d7, axiom,  ~ (r1_xxreal_0(7, k7_xcmplx_0(5, 7))) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn6d7, axiom,  ~ (r1_xxreal_0(7, k7_xcmplx_0(6, 7))) ).
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_r4, axiom, r1_xxreal_0(k4_xcmplx_0(1), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r5, axiom, r1_xxreal_0(k4_xcmplx_0(1), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r6, axiom, r1_xxreal_0(k4_xcmplx_0(1), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r7, axiom, r1_xxreal_0(k4_xcmplx_0(1), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm4, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm5, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d4, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d6, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 6))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn5d6, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(5, 6))).
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_rnm1d6, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 6))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm5d6, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(5), 6))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r0, axiom, r1_xxreal_0(k4_xcmplx_0(4), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r1, axiom, r1_xxreal_0(k4_xcmplx_0(4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r4, axiom, r1_xxreal_0(k4_xcmplx_0(4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r5, axiom, r1_xxreal_0(k4_xcmplx_0(4), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r7, axiom, r1_xxreal_0(k4_xcmplx_0(4), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r0, axiom, r1_xxreal_0(k4_xcmplx_0(5), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r1, axiom, r1_xxreal_0(k4_xcmplx_0(5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r4, axiom, r1_xxreal_0(k4_xcmplx_0(5), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r5, axiom, r1_xxreal_0(k4_xcmplx_0(5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r6, axiom, r1_xxreal_0(k4_xcmplx_0(5), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r7, axiom, r1_xxreal_0(k4_xcmplx_0(5), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r0, axiom, r1_xxreal_0(k4_xcmplx_0(6), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r1, axiom, r1_xxreal_0(k4_xcmplx_0(6), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r4, axiom, r1_xxreal_0(k4_xcmplx_0(6), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r6, axiom, r1_xxreal_0(k4_xcmplx_0(6), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm6, axiom, r1_xxreal_0(k4_xcmplx_0(6), k4_xcmplx_0(6))).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r0, axiom, r1_xxreal_0(k4_xcmplx_0(7), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r1, axiom, r1_xxreal_0(k4_xcmplx_0(7), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r6, axiom, r1_xxreal_0(k4_xcmplx_0(7), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_r7, axiom, r1_xxreal_0(k4_xcmplx_0(7), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rm7_rm7, axiom, r1_xxreal_0(k4_xcmplx_0(7), k4_xcmplx_0(7))).
fof(rqLessOrEqual__r1_xxreal_0__rm7_rn5d6, axiom, r1_xxreal_0(k4_xcmplx_0(7), k7_xcmplx_0(5, 6))).
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_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r5, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r6, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 6)).
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_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d5, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d6, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn5d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(5, 4))).
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__rn1d5_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 5), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 5), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_r5, axiom, r1_xxreal_0(k7_xcmplx_0(1, 5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_rn1d5, axiom, r1_xxreal_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(1, 5))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_rn1d6, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(1, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_rnm1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_rnm1d5, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(k4_xcmplx_0(1), 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 6), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 6), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 6), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r5, axiom, r1_xxreal_0(k7_xcmplx_0(1, 6), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r6, axiom, r1_xxreal_0(k7_xcmplx_0(1, 6), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r7, axiom, r1_xxreal_0(k7_xcmplx_0(1, 6), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rm6, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn1d6, axiom, r1_xxreal_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(1, 6))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn5d6, axiom, r1_xxreal_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(5, 6))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rnm1d6, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d7_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 7), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 5), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_r4, axiom, r1_xxreal_0(k7_xcmplx_0(4, 5), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_r5, axiom, r1_xxreal_0(k7_xcmplx_0(4, 5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_rn4d5, axiom, r1_xxreal_0(k7_xcmplx_0(4, 5), k7_xcmplx_0(4, 5))).
fof(rqLessOrEqual__r1_xxreal_0__rn4d7_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 7), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 4), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 4), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_r4, axiom, r1_xxreal_0(k7_xcmplx_0(5, 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_rn1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 4), k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_rn1d6, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 4), k7_xcmplx_0(1, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_rn5d4, axiom, r1_xxreal_0(k7_xcmplx_0(5, 4), k7_xcmplx_0(5, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_rn5d6, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 4), k7_xcmplx_0(5, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 6), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r1, axiom, r1_xxreal_0(k7_xcmplx_0(5, 6), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r5, axiom, r1_xxreal_0(k7_xcmplx_0(5, 6), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r6, axiom, r1_xxreal_0(k7_xcmplx_0(5, 6), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r7, axiom, r1_xxreal_0(k7_xcmplx_0(5, 6), 7)).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 6), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rm7, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 6), k4_xcmplx_0(7))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rn1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 6), k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rn1d6, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 6), k7_xcmplx_0(1, 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rn5d6, axiom, r1_xxreal_0(k7_xcmplx_0(5, 6), k7_xcmplx_0(5, 6))).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rnm5d6, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 6), k7_xcmplx_0(k4_xcmplx_0(5), 6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn5d7_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(5, 7), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn6d7_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(6, 7), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn7d6_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(7, 6), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn7d6_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(7, 6), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn7d6_rn7d6, axiom, r1_xxreal_0(k7_xcmplx_0(7, 6), k7_xcmplx_0(7, 6))).
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_r4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r5, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 5)).
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_rn1d4, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d5, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 5))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d6, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(1, 6))).
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__rnm1d5_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d5_r5, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d5_rn1d5, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(1, 5))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d5_rnm1d5, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(k4_xcmplx_0(1), 5))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_r6, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_rm6, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_rn1d6, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(1, 6))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_rnm1d6, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))).
fof(rqLessOrEqual__r1_xxreal_0__rnm5d6_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(5), 6), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm5d6_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(5), 6), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm5d6_r5, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(5), 6), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rnm5d6_r6, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(5), 6), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rnm5d6_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(5), 6), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm5d6_rn5d6, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(5), 6), k7_xcmplx_0(5, 6))).
fof(rqLessOrEqual__r1_xxreal_0__rnm5d6_rnm5d6, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(5), 6), k7_xcmplx_0(k4_xcmplx_0(5), 6))).
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_r4_r4, axiom, k2_xcmplx_0(0, 4)=4).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom, k2_xcmplx_0(0, 5)=5).
fof(rqRealAdd__k2_xcmplx_0__r0_r6_r6, axiom, k2_xcmplx_0(0, 6)=6).
fof(rqRealAdd__k2_xcmplx_0__r0_r7_r7, axiom, k2_xcmplx_0(0, 7)=7).
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_rm4_rm4, axiom, k2_xcmplx_0(0, k4_xcmplx_0(4))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm7_rm7, axiom, k2_xcmplx_0(0, k4_xcmplx_0(7))=k4_xcmplx_0(7)).
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_rn1d5_rn1d5, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 5))=k7_xcmplx_0(1, 5)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d6_rn1d6, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 6))=k7_xcmplx_0(1, 6)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r4_r5, axiom, k2_xcmplx_0(1, 4)=5).
fof(rqRealAdd__k2_xcmplx_0__r1_r5_r6, axiom, k2_xcmplx_0(1, 5)=6).
fof(rqRealAdd__k2_xcmplx_0__r1_r6_r7, axiom, k2_xcmplx_0(1, 6)=7).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm5_rm4, axiom, k2_xcmplx_0(1, k4_xcmplx_0(5))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm6_rm5, axiom, k2_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm7_rm6, axiom, k2_xcmplx_0(1, k4_xcmplx_0(7))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d4_rn5d4, axiom, k2_xcmplx_0(1, k7_xcmplx_0(1, 4))=k7_xcmplx_0(5, 4)).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d5_rn6d5, axiom, k2_xcmplx_0(1, k7_xcmplx_0(1, 5))=k7_xcmplx_0(6, 5)).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d6_rn7d6, axiom, k2_xcmplx_0(1, k7_xcmplx_0(1, 6))=k7_xcmplx_0(7, 6)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d6_rn5d6, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(5, 6)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm5d6_rn1d6, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(5), 6))=k7_xcmplx_0(1, 6)).
fof(rqRealAdd__k2_xcmplx_0__r4_r0_r4, axiom, k2_xcmplx_0(4, 0)=4).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(4, 1)=5).
fof(rqRealAdd__k2_xcmplx_0__r4_rm4_r0, axiom, k2_xcmplx_0(4, k4_xcmplx_0(4))=0).
fof(rqRealAdd__k2_xcmplx_0__r4_rm5_rm1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(5))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r5_r0_r5, axiom, k2_xcmplx_0(5, 0)=5).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6, axiom, k2_xcmplx_0(5, 1)=6).
fof(rqRealAdd__k2_xcmplx_0__r5_rm1_r4, axiom, k2_xcmplx_0(5, k4_xcmplx_0(1))=4).
fof(rqRealAdd__k2_xcmplx_0__r5_rm4_r1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(4))=1).
fof(rqRealAdd__k2_xcmplx_0__r5_rm5_r0, axiom, k2_xcmplx_0(5, k4_xcmplx_0(5))=0).
fof(rqRealAdd__k2_xcmplx_0__r5_rm6_rm1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r6_r0_r6, axiom, k2_xcmplx_0(6, 0)=6).
fof(rqRealAdd__k2_xcmplx_0__r6_r1_r7, axiom, k2_xcmplx_0(6, 1)=7).
fof(rqRealAdd__k2_xcmplx_0__r6_rm1_r5, axiom, k2_xcmplx_0(6, k4_xcmplx_0(1))=5).
fof(rqRealAdd__k2_xcmplx_0__r6_rm5_r1, axiom, k2_xcmplx_0(6, k4_xcmplx_0(5))=1).
fof(rqRealAdd__k2_xcmplx_0__r6_rm6_r0, axiom, k2_xcmplx_0(6, k4_xcmplx_0(6))=0).
fof(rqRealAdd__k2_xcmplx_0__r6_rm7_rm1, axiom, k2_xcmplx_0(6, k4_xcmplx_0(7))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r7_r0_r7, axiom, k2_xcmplx_0(7, 0)=7).
fof(rqRealAdd__k2_xcmplx_0__r7_rm1_r6, axiom, k2_xcmplx_0(7, k4_xcmplx_0(1))=6).
fof(rqRealAdd__k2_xcmplx_0__r7_rm6_r1, axiom, k2_xcmplx_0(7, k4_xcmplx_0(6))=1).
fof(rqRealAdd__k2_xcmplx_0__r7_rm7_r0, axiom, k2_xcmplx_0(7, k4_xcmplx_0(7))=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_r5_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 5)=4).
fof(rqRealAdd__k2_xcmplx_0__rm1_r6_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 6)=5).
fof(rqRealAdd__k2_xcmplx_0__rm1_r7_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 7)=6).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm4_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(4))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm5_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(5))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm6_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(6))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn4d5_rnm1d5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(4, 5))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn7d6_rn1d6, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(7, 6))=k7_xcmplx_0(1, 6)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r4_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 4)=0).
fof(rqRealAdd__k2_xcmplx_0__rm4_r5_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 5)=1).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(1))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 1)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r4_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 4)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r5_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 5)=0).
fof(rqRealAdd__k2_xcmplx_0__rm5_r6_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 6)=1).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm1_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(1))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r5_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 5)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r6_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 6)=0).
fof(rqRealAdd__k2_xcmplx_0__rm6_r7_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 7)=1).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm1_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(1))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r1_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 1)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r6_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 6)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r7_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 7)=0).
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_r1_rn5d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), 1)=k7_xcmplx_0(5, 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__rn1d5_r0_rn1d5, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 5), 0)=k7_xcmplx_0(1, 5)).
fof(rqRealAdd__k2_xcmplx_0__rn1d5_rn4d5_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(4, 5))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d5_rnm1d5_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(k4_xcmplx_0(1), 5))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_r0_rn1d6, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 6), 0)=k7_xcmplx_0(1, 6)).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_r1_rn7d6, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 6), 1)=k7_xcmplx_0(7, 6)).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn5d6_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(5, 6))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rnm1d6_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d7_rnm1d7_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 7), k7_xcmplx_0(k4_xcmplx_0(1), 7))=0).
fof(rqRealAdd__k2_xcmplx_0__rn4d5_rm1_rnm1d5, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 5), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealAdd__k2_xcmplx_0__rn4d5_rn1d5_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 5), k7_xcmplx_0(1, 5))=1).
fof(rqRealAdd__k2_xcmplx_0__rn6d5_rn1d5_rn7d5, axiom, k2_xcmplx_0(k7_xcmplx_0(6, 5), k7_xcmplx_0(1, 5))=k7_xcmplx_0(7, 5)).
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__rnm1d5_rn1d5_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(1, 5))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_r1_rn5d6, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 1)=k7_xcmplx_0(5, 6)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_rn1d6_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(1, 6))=0).
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_r4_rm4, axiom, k6_xcmplx_0(0, 4)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r0_r5_rm5, axiom, k6_xcmplx_0(0, 5)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__r0_r6_rm6, axiom, k6_xcmplx_0(0, 6)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r0_r7_rm7, axiom, k6_xcmplx_0(0, 7)=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm4_r4, axiom, k6_xcmplx_0(0, k4_xcmplx_0(4))=4).
fof(rqRealDiff__k6_xcmplx_0__r0_rm5_r5, axiom, k6_xcmplx_0(0, k4_xcmplx_0(5))=5).
fof(rqRealDiff__k6_xcmplx_0__r0_rm6_r6, axiom, k6_xcmplx_0(0, k4_xcmplx_0(6))=6).
fof(rqRealDiff__k6_xcmplx_0__r0_rm7_r7, axiom, k6_xcmplx_0(0, k4_xcmplx_0(7))=7).
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_rn1d5_rnm1d5, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 5))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d6_rnm1d6, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d7_rnm1d7, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn5d4_rnm5d4, axiom, k6_xcmplx_0(0, k7_xcmplx_0(5, 4))=k7_xcmplx_0(k4_xcmplx_0(5), 4)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn5d6_rnm5d6, axiom, k6_xcmplx_0(0, k7_xcmplx_0(5, 6))=k7_xcmplx_0(k4_xcmplx_0(5), 6)).
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_rnm1d6_rn1d6, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(1, 6)).
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_r5_rm4, axiom, k6_xcmplx_0(1, 5)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r1_r6_rm5, axiom, k6_xcmplx_0(1, 6)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__r1_r7_rm6, axiom, k6_xcmplx_0(1, 7)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm4_r5, axiom, k6_xcmplx_0(1, k4_xcmplx_0(4))=5).
fof(rqRealDiff__k6_xcmplx_0__r1_rm5_r6, axiom, k6_xcmplx_0(1, k4_xcmplx_0(5))=6).
fof(rqRealDiff__k6_xcmplx_0__r1_rm6_r7, axiom, k6_xcmplx_0(1, k4_xcmplx_0(6))=7).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d5_rn4d5, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 5))=k7_xcmplx_0(4, 5)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d6_rn5d6, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 6))=k7_xcmplx_0(5, 6)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d7_rn6d7, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 7))=k7_xcmplx_0(6, 7)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn4d5_rn1d5, axiom, k6_xcmplx_0(1, k7_xcmplx_0(4, 5))=k7_xcmplx_0(1, 5)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn5d4_rnm1d4, axiom, k6_xcmplx_0(1, k7_xcmplx_0(5, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn5d6_rn1d6, axiom, k6_xcmplx_0(1, k7_xcmplx_0(5, 6))=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn6d5_rnm1d5, axiom, k6_xcmplx_0(1, k7_xcmplx_0(6, 5))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn6d7_rn1d7, axiom, k6_xcmplx_0(1, k7_xcmplx_0(6, 7))=k7_xcmplx_0(1, 7)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn7d6_rnm1d6, axiom, k6_xcmplx_0(1, k7_xcmplx_0(7, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d4_rn5d4, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(5, 4)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d5_rn6d5, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 5))=k7_xcmplx_0(6, 5)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d6_rn7d6, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(7, 6)).
fof(rqRealDiff__k6_xcmplx_0__r4_r0_r4, axiom, k6_xcmplx_0(4, 0)=4).
fof(rqRealDiff__k6_xcmplx_0__r4_r4_r0, axiom, k6_xcmplx_0(4, 4)=0).
fof(rqRealDiff__k6_xcmplx_0__r4_r5_rm1, axiom, k6_xcmplx_0(4, 5)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r4_rm1_r5, axiom, k6_xcmplx_0(4, k4_xcmplx_0(1))=5).
fof(rqRealDiff__k6_xcmplx_0__r5_r0_r5, axiom, k6_xcmplx_0(5, 0)=5).
fof(rqRealDiff__k6_xcmplx_0__r5_r1_r4, axiom, k6_xcmplx_0(5, 1)=4).
fof(rqRealDiff__k6_xcmplx_0__r5_r4_r1, axiom, k6_xcmplx_0(5, 4)=1).
fof(rqRealDiff__k6_xcmplx_0__r5_r5_r0, axiom, k6_xcmplx_0(5, 5)=0).
fof(rqRealDiff__k6_xcmplx_0__r5_r6_rm1, axiom, k6_xcmplx_0(5, 6)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r5_rm1_r6, axiom, k6_xcmplx_0(5, k4_xcmplx_0(1))=6).
fof(rqRealDiff__k6_xcmplx_0__r6_r0_r6, axiom, k6_xcmplx_0(6, 0)=6).
fof(rqRealDiff__k6_xcmplx_0__r6_r1_r5, axiom, k6_xcmplx_0(6, 1)=5).
fof(rqRealDiff__k6_xcmplx_0__r6_r5_r1, axiom, k6_xcmplx_0(6, 5)=1).
fof(rqRealDiff__k6_xcmplx_0__r6_r6_r0, axiom, k6_xcmplx_0(6, 6)=0).
fof(rqRealDiff__k6_xcmplx_0__r6_r7_rm1, axiom, k6_xcmplx_0(6, 7)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r6_rm1_r7, axiom, k6_xcmplx_0(6, k4_xcmplx_0(1))=7).
fof(rqRealDiff__k6_xcmplx_0__r7_r0_r7, axiom, k6_xcmplx_0(7, 0)=7).
fof(rqRealDiff__k6_xcmplx_0__r7_r1_r6, axiom, k6_xcmplx_0(7, 1)=6).
fof(rqRealDiff__k6_xcmplx_0__r7_r6_r1, axiom, k6_xcmplx_0(7, 6)=1).
fof(rqRealDiff__k6_xcmplx_0__r7_r7_r0, axiom, k6_xcmplx_0(7, 7)=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_r4_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 4)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r5_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 5)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r6_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 6)=k4_xcmplx_0(7)).
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_rm5_r4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(5))=4).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm6_r5, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(6))=5).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm7_r6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(7))=6).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d4_rnm5d4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(5), 4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d5_rnm6d5, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 5))=k7_xcmplx_0(k4_xcmplx_0(6), 5)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d6_rnm7d6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d5_rnm4d5, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 5))=k7_xcmplx_0(k4_xcmplx_0(4), 5)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d6_rnm5d6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(k4_xcmplx_0(5), 6)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d7_rnm6d7, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm4d5_rnm1d5, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(4), 5))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm5d4_rn1d4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(5), 4))=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm5d6_rnm1d6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(5), 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm6d5_rn1d5, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(6), 5))=k7_xcmplx_0(1, 5)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm6d7_rnm1d7, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(6), 7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d6_rn1d6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(7), 6))=k7_xcmplx_0(1, 6)).
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_r1_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm4_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(4))=0).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm5_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(5))=1).
fof(rqRealDiff__k6_xcmplx_0__rm5_r0_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(5), 0)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm5_r1_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(5), 1)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm1_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(1))=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm4_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(4))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm5_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(5))=0).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm6_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(6))=1).
fof(rqRealDiff__k6_xcmplx_0__rm6_r0_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 0)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm6_r1_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm1_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(1))=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm5_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(5))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm6_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(6))=0).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm7_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(7))=1).
fof(rqRealDiff__k6_xcmplx_0__rm7_r0_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(7), 0)=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm1_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(1))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm6_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm7_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(7))=0).
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_rm1_rn5d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k4_xcmplx_0(1))=k7_xcmplx_0(5, 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_rn5d4_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(5, 4))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_r0_rn1d5, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 5), 0)=k7_xcmplx_0(1, 5)).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_r1_rnm4d5, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 5), 1)=k7_xcmplx_0(k4_xcmplx_0(4), 5)).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_rm1_rn6d5, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 5), k4_xcmplx_0(1))=k7_xcmplx_0(6, 5)).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_rn1d5_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(1, 5))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_rnm4d5_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(k4_xcmplx_0(4), 5))=1).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r0_rn1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), 0)=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r1_rnm5d6, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), 1)=k7_xcmplx_0(k4_xcmplx_0(5), 6)).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rm1_rn7d6, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(1))=k7_xcmplx_0(7, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn1d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(1, 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn7d6_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(7, 6))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rnm5d6_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(k4_xcmplx_0(5), 6))=1).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r0_rn1d7, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 7), 0)=k7_xcmplx_0(1, 7)).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r1_rnm6d7, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 7), 1)=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn1d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 7), k7_xcmplx_0(1, 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rn4d5_r0_rn4d5, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 5), 0)=k7_xcmplx_0(4, 5)).
fof(rqRealDiff__k6_xcmplx_0__rn4d5_r1_rnm1d5, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 5), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealDiff__k6_xcmplx_0__rn4d5_rn4d5_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 5), k7_xcmplx_0(4, 5))=0).
fof(rqRealDiff__k6_xcmplx_0__rn4d7_r0_rn4d7, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 7), 0)=k7_xcmplx_0(4, 7)).
fof(rqRealDiff__k6_xcmplx_0__rn4d7_rn4d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(4, 7), k7_xcmplx_0(4, 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_r1_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 4), 1)=k7_xcmplx_0(1, 4)).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn1d4_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 4), k7_xcmplx_0(1, 4))=1).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn5d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 4), k7_xcmplx_0(5, 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r0_rn5d6, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 6), 0)=k7_xcmplx_0(5, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r1_rnm1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 6), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rn5d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 6), k7_xcmplx_0(5, 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rnm1d6_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=1).
fof(rqRealDiff__k6_xcmplx_0__rn5d7_r0_rn5d7, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 7), 0)=k7_xcmplx_0(5, 7)).
fof(rqRealDiff__k6_xcmplx_0__rn5d7_rn1d7_rn4d7, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 7), k7_xcmplx_0(1, 7))=k7_xcmplx_0(4, 7)).
fof(rqRealDiff__k6_xcmplx_0__rn5d7_rn5d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(5, 7), k7_xcmplx_0(5, 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_r0_rn6d7, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 7), 0)=k7_xcmplx_0(6, 7)).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_r1_rnm1d7, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 7), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_rn6d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 7), k7_xcmplx_0(6, 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_rn7d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(7, 4), k7_xcmplx_0(7, 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rn7d5_rn1d5_rn6d5, axiom, k6_xcmplx_0(k7_xcmplx_0(7, 5), k7_xcmplx_0(1, 5))=k7_xcmplx_0(6, 5)).
fof(rqRealDiff__k6_xcmplx_0__rn7d5_rn7d5_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(7, 5), k7_xcmplx_0(7, 5))=0).
fof(rqRealDiff__k6_xcmplx_0__rn7d6_r1_rn1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(7, 6), 1)=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn7d6_rn7d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(7, 6), k7_xcmplx_0(7, 6))=0).
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_r1_rnm5d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), 1)=k7_xcmplx_0(k4_xcmplx_0(5), 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_rnm5d4_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4), k7_xcmplx_0(k4_xcmplx_0(5), 4))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_r1_rnm6d5, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), 1)=k7_xcmplx_0(k4_xcmplx_0(6), 5)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rm1_rn4d5, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k4_xcmplx_0(1))=k7_xcmplx_0(4, 5)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm1d5_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(k4_xcmplx_0(1), 5))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm6d5_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(k4_xcmplx_0(6), 5))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r1_rnm7d6, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 1)=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rm1_rn5d6, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k4_xcmplx_0(1))=k7_xcmplx_0(5, 6)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm1d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm7d6_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(k4_xcmplx_0(7), 6))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d7_rm1_rn6d7, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k4_xcmplx_0(1))=k7_xcmplx_0(6, 7)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d7_rnm1d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k7_xcmplx_0(k4_xcmplx_0(1), 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm4d5_rm1_rn1d5, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 5), k4_xcmplx_0(1))=k7_xcmplx_0(1, 5)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d5_rn1d5_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 5), k7_xcmplx_0(1, 5))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm4d5_rnm4d5_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 5), k7_xcmplx_0(k4_xcmplx_0(4), 5))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rm1_rnm1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 4), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm1d4_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 4), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm5d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 4), k7_xcmplx_0(k4_xcmplx_0(5), 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm5d6_rm1_rn1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 6), k4_xcmplx_0(1))=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__rnm5d6_rnm5d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 6), k7_xcmplx_0(k4_xcmplx_0(5), 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm5d7_rnm1d7_rnm4d7, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 7), k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(k4_xcmplx_0(4), 7)).
fof(rqRealDiff__k6_xcmplx_0__rnm5d7_rnm5d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 7), k7_xcmplx_0(k4_xcmplx_0(5), 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm6d5_rm1_rnm1d5, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 5), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealDiff__k6_xcmplx_0__rnm6d5_rnm1d5_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 5), k7_xcmplx_0(k4_xcmplx_0(1), 5))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm6d7_rnm6d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 7), k7_xcmplx_0(k4_xcmplx_0(6), 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm7d4_rnm7d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 4), k7_xcmplx_0(k4_xcmplx_0(7), 4))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm7d5_rnm7d5_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 5), k7_xcmplx_0(k4_xcmplx_0(7), 5))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_rm1_rnm1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_rnm1d6_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_rnm7d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6), k7_xcmplx_0(k4_xcmplx_0(7), 6))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
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_r5_rn1d5, axiom, k7_xcmplx_0(1, 5)=k7_xcmplx_0(1, 5)).
fof(rqRealDiv__k7_xcmplx_0__r1_r6_rn1d6, axiom, k7_xcmplx_0(1, 6)=k7_xcmplx_0(1, 6)).
fof(rqRealDiv__k7_xcmplx_0__r1_r7_rn1d7, axiom, k7_xcmplx_0(1, 7)=k7_xcmplx_0(1, 7)).
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_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_rm5_rnm1d5, axiom, k7_xcmplx_0(1, k4_xcmplx_0(5))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm6_rnm1d6, axiom, k7_xcmplx_0(1, k4_xcmplx_0(6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm7_rnm1d7, axiom, k7_xcmplx_0(1, k4_xcmplx_0(7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
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_rn1d6_r6, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 6))=6).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d7_r7, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 7))=7).
fof(rqRealDiv__k7_xcmplx_0__r1_rn4d5_rn5d4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(4, 5))=k7_xcmplx_0(5, 4)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn5d4_rn4d5, axiom, k7_xcmplx_0(1, k7_xcmplx_0(5, 4))=k7_xcmplx_0(4, 5)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn7d6_rn6d7, axiom, k7_xcmplx_0(1, k7_xcmplx_0(7, 6))=k7_xcmplx_0(6, 7)).
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_rnm1d5_rm5, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 5))=k4_xcmplx_0(5)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d6_rm6, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(6)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d7_rm7, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 7))=k4_xcmplx_0(7)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm5d4_rnm4d5, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(5), 4))=k7_xcmplx_0(k4_xcmplx_0(4), 5)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm5d6_rnm6d5, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(5), 6))=k7_xcmplx_0(k4_xcmplx_0(6), 5)).
fof(rqRealDiv__k7_xcmplx_0__r4_r4_r1, axiom, k7_xcmplx_0(4, 4)=1).
fof(rqRealDiv__k7_xcmplx_0__r4_r5_rn4d5, axiom, k7_xcmplx_0(4, 5)=k7_xcmplx_0(4, 5)).
fof(rqRealDiv__k7_xcmplx_0__r4_r7_rn4d7, axiom, k7_xcmplx_0(4, 7)=k7_xcmplx_0(4, 7)).
fof(rqRealDiv__k7_xcmplx_0__r5_r4_rn5d4, axiom, k7_xcmplx_0(5, 4)=k7_xcmplx_0(5, 4)).
fof(rqRealDiv__k7_xcmplx_0__r5_r6_rn5d6, axiom, k7_xcmplx_0(5, 6)=k7_xcmplx_0(5, 6)).
fof(rqRealDiv__k7_xcmplx_0__r5_r7_rn5d7, axiom, k7_xcmplx_0(5, 7)=k7_xcmplx_0(5, 7)).
fof(rqRealDiv__k7_xcmplx_0__r6_r7_rn6d7, axiom, k7_xcmplx_0(6, 7)=k7_xcmplx_0(6, 7)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r4_rm4, axiom, k4_xcmplx_0(4)=k4_xcmplx_0(4)).
fof(rqRealNeg__k4_xcmplx_0__r5_rm5, axiom, k4_xcmplx_0(5)=k4_xcmplx_0(5)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__r7_rm7, axiom, k4_xcmplx_0(7)=k4_xcmplx_0(7)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm4_r4, axiom, k4_xcmplx_0(k4_xcmplx_0(4))=4).
fof(rqRealNeg__k4_xcmplx_0__rm5_r5, axiom, k4_xcmplx_0(k4_xcmplx_0(5))=5).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rm7_r7, axiom, k4_xcmplx_0(k4_xcmplx_0(7))=7).
fof(rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
fof(rqRealNeg__k4_xcmplx_0__rn1d5_rnm1d5, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 5))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealNeg__k4_xcmplx_0__rn1d6_rnm1d6, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealNeg__k4_xcmplx_0__rn1d7_rnm1d7, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealNeg__k4_xcmplx_0__rn4d5_rnm4d5, axiom, k4_xcmplx_0(k7_xcmplx_0(4, 5))=k7_xcmplx_0(k4_xcmplx_0(4), 5)).
fof(rqRealNeg__k4_xcmplx_0__rn4d7_rnm4d7, axiom, k4_xcmplx_0(k7_xcmplx_0(4, 7))=k7_xcmplx_0(k4_xcmplx_0(4), 7)).
fof(rqRealNeg__k4_xcmplx_0__rn5d4_rnm5d4, axiom, k4_xcmplx_0(k7_xcmplx_0(5, 4))=k7_xcmplx_0(k4_xcmplx_0(5), 4)).
fof(rqRealNeg__k4_xcmplx_0__rn5d6_rnm5d6, axiom, k4_xcmplx_0(k7_xcmplx_0(5, 6))=k7_xcmplx_0(k4_xcmplx_0(5), 6)).
fof(rqRealNeg__k4_xcmplx_0__rn5d7_rnm5d7, axiom, k4_xcmplx_0(k7_xcmplx_0(5, 7))=k7_xcmplx_0(k4_xcmplx_0(5), 7)).
fof(rqRealNeg__k4_xcmplx_0__rn6d5_rnm6d5, axiom, k4_xcmplx_0(k7_xcmplx_0(6, 5))=k7_xcmplx_0(k4_xcmplx_0(6), 5)).
fof(rqRealNeg__k4_xcmplx_0__rn6d7_rnm6d7, axiom, k4_xcmplx_0(k7_xcmplx_0(6, 7))=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealNeg__k4_xcmplx_0__rn7d4_rnm7d4, axiom, k4_xcmplx_0(k7_xcmplx_0(7, 4))=k7_xcmplx_0(k4_xcmplx_0(7), 4)).
fof(rqRealNeg__k4_xcmplx_0__rn7d5_rnm7d5, axiom, k4_xcmplx_0(k7_xcmplx_0(7, 5))=k7_xcmplx_0(k4_xcmplx_0(7), 5)).
fof(rqRealNeg__k4_xcmplx_0__rn7d6_rnm7d6, axiom, k4_xcmplx_0(k7_xcmplx_0(7, 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
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__rnm1d5_rn1d5, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5))=k7_xcmplx_0(1, 5)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d6_rn1d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(1, 6)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d7_rn1d7, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(1, 7)).
fof(rqRealNeg__k4_xcmplx_0__rnm4d5_rn4d5, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 5))=k7_xcmplx_0(4, 5)).
fof(rqRealNeg__k4_xcmplx_0__rnm4d7_rn4d7, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 7))=k7_xcmplx_0(4, 7)).
fof(rqRealNeg__k4_xcmplx_0__rnm5d4_rn5d4, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 4))=k7_xcmplx_0(5, 4)).
fof(rqRealNeg__k4_xcmplx_0__rnm5d6_rn5d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 6))=k7_xcmplx_0(5, 6)).
fof(rqRealNeg__k4_xcmplx_0__rnm5d7_rn5d7, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5), 7))=k7_xcmplx_0(5, 7)).
fof(rqRealNeg__k4_xcmplx_0__rnm6d5_rn6d5, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 5))=k7_xcmplx_0(6, 5)).
fof(rqRealNeg__k4_xcmplx_0__rnm6d7_rn6d7, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 7))=k7_xcmplx_0(6, 7)).
fof(rqRealNeg__k4_xcmplx_0__rnm7d4_rn7d4, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 4))=k7_xcmplx_0(7, 4)).
fof(rqRealNeg__k4_xcmplx_0__rnm7d5_rn7d5, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 5))=k7_xcmplx_0(7, 5)).
fof(rqRealNeg__k4_xcmplx_0__rnm7d6_rn7d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6))=k7_xcmplx_0(7, 6)).
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(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc6_boole, axiom,  ~ (v1_xboole_0(6)) ).
fof(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
fof(spc7_boole, axiom,  ~ (v1_xboole_0(7)) ).
fof(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(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_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_margrel1(A)) & m1_subset_1(C, k2_margrel1(A))) )  =>  (r1_margrel1(A, B, C) => r1_margrel1(A, C, B)) ) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_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(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(t32_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r1_tarski(C, A) =>  ( (B=k1_xboole_0 &  ~ (A=k1_xboole_0) )  |  (v1_funct_1(k2_partfun1(A, B, D, C)) &  (v1_funct_2(k2_partfun1(A, B, D, C), C, B) & m1_subset_1(k2_partfun1(A, B, D, C), k1_zfmisc_1(k2_zfmisc_1(C, B)))) ) ) ) ) ) ) ) ) ).
fof(t3_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  => r1_tarski(k6_qc_lang1(A), k6_qc_lang1(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(t49_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, A) => k1_funct_1(k5_relat_1(C, A), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t4_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_qc_trans(B, A) & m1_qc_lang1(B))  => r1_tarski(k3_qc_lang1(A), k3_qc_lang1(B))) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_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_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => r2_tarski(C, k1_funct_2(A, B))) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t9_qc_trans, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  ( (v1_qc_trans(D, A) & m1_qc_lang1(D))  =>  (! [E] :  (m1_valuat_1(E, D, C) =>  (! [F] :  (m1_valuat_1(F, A, C) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(D), C, k2_valuat_1(D, C)) =>  (! [H] :  (m2_funct_2(H, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  ( (F=k5_relset_1(k6_qc_lang1(D), k2_margrel1(C), E, k6_qc_lang1(A)) & H=k5_relset_1(k3_qc_lang1(D), C, G, k3_qc_lang1(A)))  =>  (r1_valuat_1(D, C, k1_qc_trans(A, D, B), E, G) <=> r1_valuat_1(A, C, B, F, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
