% Mizar problem: t4_curve,curve,627,5 
fof(t4_curve, conjecture,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (v4_fdiff_1(C) &  (v4_fdiff_1(D) &  (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, D)) &  (v1_fcont_1(k2_fdiff_1(C, k1_relset_1(k1_numbers, C))) &  (v1_fcont_1(k2_fdiff_1(D, k1_relset_1(k1_numbers, D))) &  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D))) & r1_xxreal_0(k2_xcmplx_0(k1_square_1(k1_fdiff_1(C, E)), k1_square_1(k1_fdiff_1(D, E))), k5_numbers)) ) ) )  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) &  (v2_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ~ ( ( ~ (r1_xxreal_0(A, E))  &  ( ~ (r1_xxreal_0(F, B))  &  (r1_tarski(k1_rcomp_1(E, F), k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D))) &  (k1_relset_1(k1_numbers, G)=k2_rcomp_1(E, F) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k2_rcomp_1(E, F)) => k1_funct_1(G, H)=k4_integra5(E, H, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(C, k1_relset_1(k1_numbers, C)), k2_fdiff_1(C, k1_relset_1(k1_numbers, C))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(D, k1_relset_1(k1_numbers, D)), k2_fdiff_1(D, k1_relset_1(k1_numbers, D)))), k4_taylor_1(k7_xcmplx_0(1, 2))))) ) )  &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k1_rcomp_1(A, B)) => k1_funct_1(k1_curve(A, B, C, D), H)=k6_xcmplx_0(k1_funct_1(G, H), k1_funct_1(G, A))) ) )  &  (v7_valued_0(G) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, G, k1_rcomp_1(A, B))) &  (k7_relset_1(k1_numbers, k1_numbers, G, k1_rcomp_1(A, B))=k1_rcomp_1(k1_funct_1(G, A), k1_funct_1(G, B)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k2_rcomp_1(E, F)) => r1_fdiff_1(G, H)) ) )  &  (r2_fdiff_1(G, k2_rcomp_1(E, F)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k2_rcomp_1(E, F)) => k1_fdiff_1(G, H)=k6_prepower(k2_xcmplx_0(k1_square_1(k1_fdiff_1(C, H)), k1_square_1(k1_fdiff_1(D, H))), k7_xcmplx_0(1, 2))) ) )  &  (r2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, G), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G))) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G))) => k1_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, G), H)=k7_xcmplx_0(1, k1_fdiff_1(G, k1_funct_1(k2_partfun2(k1_numbers, k1_numbers, G), H)))) ) )  &  (v1_fcont_1(k2_partfun2(k1_numbers, k1_numbers, G)) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k2_relset_1(k1_numbers, G)) =>  (r1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C), H) &  (r1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D), H) &  (k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C), H)=k3_xcmplx_0(k1_fdiff_1(C, k1_funct_1(k2_partfun2(k1_numbers, k1_numbers, G), H)), k1_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, G), H)) &  (k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D), H)=k3_xcmplx_0(k1_fdiff_1(D, k1_funct_1(k2_partfun2(k1_numbers, k1_numbers, G), H)), k1_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, G), H)) & k2_xcmplx_0(k1_square_1(k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C), H)), k1_square_1(k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D), H)))=1) ) ) ) ) ) )  &  (r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), k2_fdiff_1(C, k1_relset_1(k1_numbers, C))), k2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, G), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G))))) &  (r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), k2_fdiff_1(D, k1_relset_1(k1_numbers, D))), k2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, G), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G))))) &  (r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, G), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G))), k6_rfunct_1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), k2_fdiff_1(G, k1_relset_1(k1_numbers, G))))) &  (v1_fcont_1(k2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, G), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G)))) &  (r1_tarski(k1_rcomp_1(k1_funct_1(G, A), k1_funct_1(G, B)), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G))) &  (r1_tarski(k1_rcomp_1(k1_funct_1(G, A), k1_funct_1(G, B)), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C))) &  (r1_tarski(k1_rcomp_1(k1_funct_1(G, A), k1_funct_1(G, B)), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D))) &  (r1_tarski(k1_rcomp_1(k1_funct_1(G, A), k1_funct_1(G, B)), k2_relset_1(k1_numbers, G)) &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C))=k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G)) &  (k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D))=k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G)) &  (v4_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C)) &  (v4_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D)) &  (v1_fcont_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C)))) &  (v1_fcont_1(k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D)))) &  ( (! [H] :  (v1_xreal_0(H) =>  (r2_hidden(H, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C)), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D)))) => k2_xcmplx_0(k1_square_1(k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C), H)), k1_square_1(k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D), H)))=1) ) )  & k4_integra5(A, B, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, D, k2_fdiff_1(C, k1_relset_1(k1_numbers, C))))=k4_integra5(k1_funct_1(G, A), k1_funct_1(G, B), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), D), k2_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C), k1_relset_1(k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k2_partfun2(k1_numbers, k1_numbers, G), C)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc10_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_0(B)) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc11_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_0(B)) ) ) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (v1_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_valued_0(C)) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (v2_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v2_valued_0(C)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (v3_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v3_valued_0(C)) ) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (v4_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v4_valued_0(C)) ) ) ) ).
fof(cc1_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k3_numbers) => v1_xreal_0(A)) ) ).
fof(cc1_fcont_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_xboole_0(A) => v2_rcomp_1(A)) ) ) ).
fof(cc1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_partfun1(C, A) => v1_funct_2(C, A, B)) ) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc1_xxreal_0, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => v1_xxreal_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc20_valued_0, axiom,  (! [A, B] :  (v5_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v5_valued_0(C)) ) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_borsuk_5, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_xreal_0(A)) ) ) ).
fof(cc2_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v1_xboole_0(A))  =>  (v1_funct_1(A) & v1_fcont_1(A)) ) ) ) ).
fof(cc2_fcont_3, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_xboole_0(A) => v3_rcomp_1(A)) ) ) ).
fof(cc2_funct_2, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_rcomp_1(B, A) => v3_rcomp_1(B)) ) ) ) ).
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_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v1_xboole_0(A))  =>  (v1_funct_1(A) & v2_fcont_1(A)) ) ) ) ).
fof(cc3_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
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_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_funct_2(B, A, A) => v1_partfun1(B, A)) ) ) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(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_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v2_fcont_1(A))  =>  (v1_funct_1(A) & v1_fcont_1(A)) ) ) ) ).
fof(cc5_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) =>  (v1_funct_2(B, k2_zfmisc_1(A, A), A) => v1_partfun1(B, k2_zfmisc_1(A, A))) ) ) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v4_relat_1(B, A)) ) ) ) ) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(commutativity_k18_valued_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  => k18_valued_1(A, B)=k18_valued_1(B, A)) ) ).
fof(commutativity_k1_valued_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  => k1_valued_1(A, B)=k1_valued_1(B, A)) ) ).
fof(commutativity_k20_valued_1, axiom,  (! [A, B, C, D, E] :  ( (v3_membered(B) &  (v3_membered(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) )  => k20_valued_1(A, B, C, D, E)=k20_valued_1(A, B, C, E, D)) ) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_valued_1, axiom,  (! [A, B, C, D, E] :  ( (v3_membered(B) &  (v3_membered(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) )  => k3_valued_1(A, B, C, D, E)=k3_valued_1(A, B, C, E, D)) ) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(commutativity_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k9_subset_1(A, C, B)) ) ).
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(d10_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_rat_1(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(d11_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_int_1(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(d12_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v7_ordinal1(C) =>  (r2_tarski(C, A) => r2_tarski(C, B)) ) ) ) ) ) ) ).
fof(d1_fcont_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fcont_1(A, B) <=>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  =>  ( (r1_tarski(k2_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, A)) &  (v2_comseq_2(C) & k1_seq_2(C)=B) )  =>  (v2_comseq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A)) & k1_funct_1(A, B)=k1_seq_2(k8_funct_2(k4_ordinal1, k1_numbers, k1_numbers, C, A))) ) ) ) ) ) ) ) ) ).
fof(d1_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( ( ~ (B=k1_xboole_0)  =>  (v1_funct_2(C, A, B) <=> A=k1_relset_1(A, C)) )  &  (B=k1_xboole_0 =>  (v1_funct_2(C, A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ).
fof(d1_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => k1_rcomp_1(A, B)=a_2_0_rcomp_1(A, B)) ) ) ) ).
fof(d1_square_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_square_1(A)=k3_xcmplx_0(A, A)) ) ).
fof(d1_tarski, axiom,  (! [A] :  (! [B] :  (B=k1_tarski(A) <=>  (! [C] :  (r2_hidden(C, B) <=> C=A) ) ) ) ) ).
fof(d1_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) <=> r2_hidden(A, k1_numbers)) ) ).
fof(d2_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  => k2_integra5(A, B)=k12_integra1(A, k1_integra5(B, A))) ) ) ) ).
fof(d2_rcomp_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) => k2_rcomp_1(A, B)=a_2_1_rcomp_1(A, B)) ) ) ) ).
fof(d2_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k4_rfunct_1(A) <=>  (k9_xtuple_0(B)=k6_subset_1(k9_xtuple_0(A), k8_relat_1(A, k1_tarski(k5_numbers))) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(B, C)=k5_xcmplx_0(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k10_xtuple_0(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (r2_hidden(D, k9_xtuple_0(A)) & C=k1_funct_1(A, D)) ) ) ) ) ) ) ) ).
fof(d3_integra5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => k3_integra5(A, B)=k1_rcomp_1(A, B)) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (v1_xreal_0(B) =>  (r1_fdiff_1(A, B) <=>  (? [C] :  (m1_rcomp_1(C, B) &  (r1_tarski(C, k1_relset_1(k1_numbers, A)) &  (? [D] :  ( (v1_funct_1(D) &  (v3_fdiff_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (? [E] :  ( (v1_funct_1(E) &  (v2_fdiff_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, C) => k6_xcmplx_0(k1_funct_1(A, F), k1_funct_1(A, B))=k2_xcmplx_0(k1_funct_1(D, k6_xcmplx_0(F, B)), k1_funct_1(E, k6_xcmplx_0(F, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) <=>  (! [B] :  (! [C] :  ( (r2_hidden(B, k9_xtuple_0(A)) &  (r2_hidden(C, k9_xtuple_0(A)) & k1_funct_1(A, B)=k1_funct_1(A, C)) )  => B=C) ) ) ) ) ) ).
fof(d4_integra5, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) => k4_integra5(A, B, C)=k2_integra5(k3_integra5(A, B), C))  &  ( ~ (r1_xxreal_0(A, B))  => k4_integra5(A, B, C)=k4_xcmplx_0(k2_integra5(k3_integra5(B, A), C))) ) ) ) ) ) ) ) ).
fof(d4_valued_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k18_valued_1(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k3_xcmplx_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d4_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k3_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) & r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d6_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r2_fdiff_1(A, B) <=>  (r1_tarski(B, k1_relset_1(k1_numbers, A)) &  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, B) => r1_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ) ) ).
fof(d6_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (C=k7_relat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (r2_hidden(E, k9_xtuple_0(A)) &  (r2_hidden(E, B) & D=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ).
fof(d7_fdiff_1, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (r2_fdiff_1(A, B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (C=k2_fdiff_1(A, B) <=>  (k1_relset_1(k1_numbers, C)=B &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, B) => k1_funct_1(C, D)=k1_fdiff_1(A, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d7_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (C=k8_relat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k9_xtuple_0(A)) & r2_tarski(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ).
fof(d7_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_xcmplx_0(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(d7_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k6_xcmplx_0(A, B)=k2_xcmplx_0(A, k4_xcmplx_0(B))) ) ) ) ).
fof(d8_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(d8_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k7_xcmplx_0(A, B)=k3_xcmplx_0(A, k5_xcmplx_0(B))) ) ) ) ).
fof(d9_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (v1_xreal_0(C) =>  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ) ) ).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k12_integra1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) )  => v1_xreal_0(k12_integra1(A, B))) ) ).
fof(dt_k18_valued_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k18_valued_1(A, B)) & v1_funct_1(k18_valued_1(A, B))) ) ) ).
fof(dt_k1_curve, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) )  =>  (v1_funct_1(k1_curve(A, B, C, D)) & m1_subset_1(k1_curve(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(dt_k1_fdiff_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(B))  => v1_xreal_0(k1_fdiff_1(A, B))) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_integra5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  =>  (v1_funct_1(k1_integra5(A, B)) & m1_subset_1(k1_integra5(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) ) ) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_partfun1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  =>  (v1_funct_1(k1_partfun1(A, B, C, D, E, F)) & m1_subset_1(k1_partfun1(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) ).
fof(dt_k1_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => m1_subset_1(k1_rcomp_1(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k1_seq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k1_numbers)))) )  => v1_xreal_0(k1_seq_2(A))) ) ).
fof(dt_k1_square_1, axiom, $true).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_valued_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k1_valued_1(A, B)) & v1_funct_1(k1_valued_1(A, B))) ) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xxreal_1, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k20_valued_1, axiom,  (! [A, B, C, D, E] :  ( (v3_membered(B) &  (v3_membered(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) )  =>  (v1_funct_1(k20_valued_1(A, B, C, D, E)) & m1_subset_1(k20_valued_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(dt_k2_fdiff_1, axiom,  (! [A, B] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (v1_funct_1(k2_fdiff_1(A, B)) & m1_subset_1(k2_fdiff_1(A, B), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(dt_k2_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k2_funct_1(A)) & v1_funct_1(k2_funct_1(A))) ) ) ).
fof(dt_k2_integra5, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  => v1_xreal_0(k2_integra5(A, B))) ) ).
fof(dt_k2_numbers, 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_partfun2, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k2_partfun2(A, B, C)) & m1_subset_1(k2_partfun2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ).
fof(dt_k2_rcomp_1, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => m1_subset_1(k2_rcomp_1(A, B), k1_zfmisc_1(k1_numbers))) ) ).
fof(dt_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => m1_subset_1(k2_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
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_integra5, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  ( ~ (v1_xboole_0(k3_integra5(A, B)))  &  (v2_measure5(k3_integra5(A, B)) & m1_subset_1(k3_integra5(A, B), k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_valued_1, axiom,  (! [A, B, C, D, E] :  ( (v3_membered(B) &  (v3_membered(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) )  =>  (v1_funct_1(k3_valued_1(A, B, C, D, E)) & m1_subset_1(k3_valued_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_integra5, axiom,  (! [A, B, C] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  => v1_xreal_0(k4_integra5(A, B, C))) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_rfunct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (v1_relat_1(k4_rfunct_1(A)) & v1_funct_1(k4_rfunct_1(A))) ) ) ).
fof(dt_k4_taylor_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_funct_1(k4_taylor_1(A)) & m1_subset_1(k4_taylor_1(A), k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) ).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k4_xxreal_1, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
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_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k5_xcmplx_0(A))) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_prepower, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_prepower(A, B))) ) ).
fof(dt_k6_rfunct_1, axiom,  (! [A, B, C] :  ( (v3_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (v1_funct_1(k6_rfunct_1(A, B, C)) & m1_subset_1(k6_rfunct_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ).
fof(dt_k6_subset_1, axiom,  (! [A, B] : m1_subset_1(k6_subset_1(A, B), k1_zfmisc_1(A))) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_relat_1, axiom, $true).
fof(dt_k7_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k7_relset_1(A, B, C, D), k1_zfmisc_1(B))) ) ).
fof(dt_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k7_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_k8_funct_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(C))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  &  (v1_relat_1(E) &  (v5_relat_1(E, B) & v1_funct_1(E)) ) ) )  =>  (v1_funct_1(k8_funct_2(A, B, C, D, E)) &  (v1_funct_2(k8_funct_2(A, B, C, D, E), A, B) & m1_subset_1(k8_funct_2(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ).
fof(dt_k8_relat_1, axiom, $true).
fof(dt_k8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k8_relset_1(A, B, C, D), k1_zfmisc_1(A))) ) ).
fof(dt_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k9_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_m1_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (m1_rcomp_1(B, A) => m1_subset_1(B, k1_zfmisc_1(k1_numbers))) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_rcomp_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (? [B] : m1_rcomp_1(B, A)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc100_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v7_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc101_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v10_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc102_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v8_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc103_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v9_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc10_borsuk_5, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_rat_1(A))  &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k3_xcmplx_0(A, B))) ) ) ).
fof(fc10_membered, axiom,  (! [A] :  (v1_rat_1(A) => v4_membered(k1_tarski(A))) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc10_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ( ~ (v1_xboole_0(k5_relat_1(A, B)))  & v1_relat_1(k5_relat_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_borsuk_5, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_rat_1(A))  &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k3_xcmplx_0(B, A))) ) ) ).
fof(fc11_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_comseq_2(A) &  (v2_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  &  (v1_funct_1(B) &  (v1_comseq_2(B) &  (v2_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) & v2_fcont_1(k18_valued_1(A, B))) ) ) ).
fof(fc11_membered, axiom,  (! [A] :  (v1_int_1(A) => v5_membered(k1_tarski(A))) ) ).
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_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ~ (v1_xboole_0(k7_relat_1(A, B))) ) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc12_borsuk_5, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_rat_1(A))  &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k7_xcmplx_0(A, B))) ) ) ).
fof(fc12_membered, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k1_tarski(A))) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(fc12_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(A, B)) & v1_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc13_borsuk_5, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_rat_1(A))  &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k7_xcmplx_0(B, A))) ) ) ).
fof(fc13_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(B, A)) & v1_relat_1(k3_relat_1(B, A))) ) ) ).
fof(fc13_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  & v1_relat_1(B))  => v1_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_borsuk_5, axiom,  (! [A, B] :  ( ( (v3_rcomp_1(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers)))  &  (v3_rcomp_1(B) & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => v3_rcomp_1(k3_xboole_0(A, B))) ) ).
fof(fc14_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  & v1_relat_1(B))  => v1_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_relat_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc15_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  & v1_relat_1(B))  => v2_valued_0(k3_xboole_0(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_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_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  & v1_relat_1(B))  => v2_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_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_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  & v1_relat_1(B))  => v3_valued_0(k3_xboole_0(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_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  & v1_relat_1(B))  => v3_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  => v1_xboole_0(k7_relat_1(A, B))) ) ).
fof(fc19_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  & v1_relat_1(B))  => v4_valued_0(k3_xboole_0(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_fcont_1, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k5_relat_1(A, B)) & v1_fcont_1(k5_relat_1(A, B))) ) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc1_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v3_rcomp_1(k4_xxreal_1(A, B))) ) ).
fof(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
fof(fc1_square_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k1_square_1(A))) ) ).
fof(fc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  => v1_membered(k10_xtuple_0(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  => v1_xboole_0(k7_relat_1(A, B))) ) ).
fof(fc20_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  & v1_relat_1(B))  => v4_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  => v1_xboole_0(k8_relat_1(A, B))) ) ).
fof(fc21_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  & v1_relat_1(B))  => v5_valued_0(k3_xboole_0(A, B))) ) ).
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_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  => v1_xboole_0(k8_relat_1(A, B))) ) ).
fof(fc22_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  & v1_relat_1(B))  => v5_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc23_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(fc23_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  & v1_relat_1(B))  => v6_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc24_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  & v1_relat_1(B))  => v6_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_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(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc27_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(fc27_xreal_0, axiom,  (! [A] :  ( (v2_xxreal_0(A) & v1_xreal_0(A))  =>  (v1_xcmplx_0(k5_xcmplx_0(A)) & v2_xxreal_0(k5_xcmplx_0(A))) ) ) ).
fof(fc28_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k5_xcmplx_0(A)) &  ~ (v2_xxreal_0(k5_xcmplx_0(A))) ) ) ) ).
fof(fc29_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(C, B)) & v5_relat_1(k3_relat_1(C, B), A)) ) ) ).
fof(fc29_xreal_0, axiom,  (! [A] :  ( (v3_xxreal_0(A) & v1_xreal_0(A))  =>  (v1_xcmplx_0(k5_xcmplx_0(A)) & v3_xxreal_0(k5_xcmplx_0(A))) ) ) ).
fof(fc2_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_zfmisc_1(B))  =>  (v1_funct_1(k5_relat_1(A, B)) & v1_fcont_1(k5_relat_1(A, B))) ) ) ).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc2_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v2_rcomp_1(k1_xxreal_1(A, B))) ) ).
fof(fc2_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k4_xboole_0(A, B))) ) ).
fof(fc2_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc2_square_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k1_square_1(A))) ) ).
fof(fc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  => v2_membered(k10_xtuple_0(A))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(fc30_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(B, C)) & v4_relat_1(k3_relat_1(B, C), A)) ) ) ).
fof(fc30_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k5_xcmplx_0(A)) &  ~ (v3_xxreal_0(k5_xcmplx_0(A))) ) ) ) ).
fof(fc31_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k3_xboole_0(A, B))) ) ).
fof(fc31_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_valued_0(A))  => v1_membered(k7_relat_1(A, B))) ) ).
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_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k3_xboole_0(B, A))) ) ).
fof(fc32_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_valued_0(A))  => v2_membered(k7_relat_1(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_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k3_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_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_valued_0(A))  => v3_membered(k7_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_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k3_xboole_0(B, A))) ) ).
fof(fc34_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v4_valued_0(A))  => v4_membered(k7_relat_1(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_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k3_xboole_0(A, B))) ) ).
fof(fc35_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v5_valued_0(A))  => v5_membered(k7_relat_1(A, B))) ) ).
fof(fc36_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k3_xboole_0(B, A))) ) ).
fof(fc36_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v6_valued_0(A))  => v6_membered(k7_relat_1(A, B))) ) ).
fof(fc37_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k3_xboole_0(A, B))) ) ).
fof(fc38_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k3_xboole_0(B, A))) ) ).
fof(fc39_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k3_xboole_0(A, B))) ) ).
fof(fc3_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) & v1_fcont_1(k1_valued_1(A, B))) ) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc3_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  => v3_membered(k10_xtuple_0(A))) ) ).
fof(fc3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k3_xcmplx_0(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(fc40_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k3_xboole_0(B, A))) ) ).
fof(fc41_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k3_xboole_0(A, B))) ) ).
fof(fc42_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k3_xboole_0(B, A))) ) ).
fof(fc43_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k4_xboole_0(A, B))) ) ).
fof(fc43_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc44_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k4_xboole_0(A, B))) ) ).
fof(fc44_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc45_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k4_xboole_0(A, B))) ) ).
fof(fc45_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc46_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k4_xboole_0(A, B))) ) ).
fof(fc46_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v4_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc47_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k4_xboole_0(A, B))) ) ).
fof(fc47_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v5_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc48_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k4_xboole_0(A, B))) ) ).
fof(fc48_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v6_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc4_borsuk_5, axiom,  (! [A, B] :  ( (v1_rat_1(A) &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc4_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_funct_1(k3_relat_1(D, C)) & v1_funct_2(k3_relat_1(D, C), A, B)) ) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  => v4_membered(k10_xtuple_0(A))) ) ).
fof(fc4_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k6_xcmplx_0(A, B))) ) ).
fof(fc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k5_xcmplx_0(A)) & v1_xreal_0(k5_xcmplx_0(A))) ) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc55_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v1_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc56_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc57_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v3_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v3_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc58_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v4_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v4_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc59_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v5_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc5_borsuk_5, axiom,  (! [A, B] :  ( (v1_rat_1(A) &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc5_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k18_valued_1(A, B)) & v1_fcont_1(k18_valued_1(A, B))) ) ) ).
fof(fc5_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_funct_1(k3_relat_1(D, C)) & v1_funct_2(k3_relat_1(D, C), A, B)) ) ) ).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_numbers, axiom,  ~ (v1_xboole_0(k6_numbers)) ).
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_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  => v5_membered(k10_xtuple_0(A))) ) ).
fof(fc5_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k7_xcmplx_0(A, B))) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc60_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v6_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v6_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_xcmplx_0(k1_funct_1(A, B))) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => v1_xxreal_0(k1_funct_1(A, B))) ) ).
fof(fc63_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_funct_1(A, B))) ) ).
fof(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc6_borsuk_5, axiom,  (! [A] :  ( (v1_xreal_0(A) &  ~ (v1_rat_1(A)) )  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v1_rat_1(k4_xcmplx_0(A))) ) ) ) ).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc6_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  => v6_membered(k10_xtuple_0(A))) ) ).
fof(fc6_xcmplx_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ( ~ (v8_ordinal1(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc7_borsuk_5, axiom,  (! [A, B] :  ( (v1_rat_1(A) &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k6_xcmplx_0(A, B))) ) ) ).
fof(fc7_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v1_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v1_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k3_relat_1(A, B)) & v1_fcont_1(k3_relat_1(A, B))) ) ) ).
fof(fc7_membered, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_membered(k1_tarski(A))) ) ).
fof(fc7_numbers, axiom,  ~ (v1_finset_1(k3_numbers)) ).
fof(fc7_xcmplx_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ( ~ (v8_ordinal1(k5_xcmplx_0(A)))  & v1_xcmplx_0(k5_xcmplx_0(A))) ) ) ).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc89_valued_0, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc8_borsuk_5, axiom,  (! [A, B] :  ( (v1_rat_1(A) &  (v1_xreal_0(B) &  ~ (v1_rat_1(B)) ) )  =>  ~ (v1_rat_1(k6_xcmplx_0(B, A))) ) ) ).
fof(fc8_fcont_1, axiom,  (! [A, B] :  ( (v1_funct_1(A) &  (v2_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (v1_funct_1(k5_relat_1(A, B)) & v2_fcont_1(k5_relat_1(A, B))) ) ) ).
fof(fc8_funct_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) )  =>  (v1_funct_1(k3_relat_1(D, E)) & v1_funct_2(k3_relat_1(D, E), A, C)) ) ) ).
fof(fc8_membered, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_membered(k1_tarski(A))) ) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc8_xcmplx_0, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  &  ( ~ (v8_ordinal1(B))  & v1_xcmplx_0(B)) )  =>  ~ (v8_ordinal1(k3_xcmplx_0(A, B))) ) ) ).
fof(fc8_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k7_xcmplx_0(A, B))) ) ).
fof(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc91_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v7_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc92_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v9_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc93_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v8_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v7_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc94_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v10_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v9_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc95_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v8_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc96_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v8_valued_0(k3_relat_1(B, A))) ) ) ).
fof(fc97_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v10_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc98_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v10_valued_0(k3_relat_1(B, A))) ) ) ).
fof(fc9_fcont_1, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) &  (v2_fcont_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (v1_funct_1(B) &  (v2_fcont_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) )  =>  (v1_funct_1(k1_valued_1(A, B)) & v2_fcont_1(k1_valued_1(A, B))) ) ) ).
fof(fc9_membered, axiom,  (! [A] :  (v1_xreal_0(A) => v3_membered(k1_tarski(A))) ) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k10_xtuple_0(A))) ) ) ).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc9_xcmplx_0, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  &  ( ~ (v8_ordinal1(B))  & v1_xcmplx_0(B)) )  =>  ~ (v8_ordinal1(k7_xcmplx_0(A, B))) ) ) ).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fraenkel_a_2_0_rcomp_1, axiom,  (! [A, B, C] :  ( (v1_xreal_0(B) & v1_xreal_0(C))  =>  (r2_hidden(A, a_2_0_rcomp_1(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=D &  (r1_xxreal_0(B, D) & r1_xxreal_0(D, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_1_rcomp_1, axiom,  (! [A, B, C] :  ( (v1_xxreal_0(B) & v1_xxreal_0(C))  =>  (r2_hidden(A, a_2_1_rcomp_1(B, C)) <=>  (? [D] :  (v1_xreal_0(D) &  (A=D &  ( ~ (r1_xxreal_0(D, B))  &  ~ (r1_xxreal_0(C, D)) ) ) ) ) ) ) ) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(idempotence_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, B)=B) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(involutiveness_k5_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k5_xcmplx_0(k5_xcmplx_0(A))=A) ) ).
fof(l3_curve, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) => r1_tarski(k2_rcomp_1(A, B), k1_rcomp_1(A, B))) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc1_fcont_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_fcont_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc1_funct_2, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_rcomp_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v3_rcomp_1(A)) ) ) ) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_borsuk_5, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) &  ~ (v1_rat_1(A)) ) ) ) ) ).
fof(rc2_fcont_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_borsuk_5, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_xxreal_0(A) & v1_rat_1(A)) ) ) ) ) ).
fof(rc3_fcont_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k1_numbers) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_fcont_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rc3_valued_0, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v5_valued_0(A) &  (v6_valued_0(A) & v7_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_xcmplx_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xcmplx_0(A)) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_valued_0(B)) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k10_subset_1(A, k2_numbers)=A) ) ).
fof(rd1_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => k10_subset_1(A, k1_numbers)=A) ) ).
fof(rd1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) => k10_subset_1(A, k6_numbers)=A) ) ).
fof(rd4_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k5_relat_1(A, k9_xtuple_0(A))=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_k1_integra5, axiom,  (! [A, B] :  ( ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_numbers))) )  => k1_integra5(A, B)=k5_relat_1(A, B)) ) ).
fof(redefinition_k1_partfun1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  => k1_partfun1(A, B, C, D, E, F)=k3_relat_1(E, F)) ) ).
fof(redefinition_k1_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => k1_rcomp_1(A, B)=k1_xxreal_1(A, B)) ) ).
fof(redefinition_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k1_relset_1(A, B)=k9_xtuple_0(B)) ) ).
fof(redefinition_k20_valued_1, axiom,  (! [A, B, C, D, E] :  ( (v3_membered(B) &  (v3_membered(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) )  => k20_valued_1(A, B, C, D, E)=k18_valued_1(D, E)) ) ).
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_partfun2, axiom,  (! [A, B, C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k2_partfun2(A, B, C)=k2_funct_1(C)) ) ).
fof(redefinition_k2_rcomp_1, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k2_rcomp_1(A, B)=k4_xxreal_1(A, B)) ) ).
fof(redefinition_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k2_relset_1(A, B)=k10_xtuple_0(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_k3_valued_1, axiom,  (! [A, B, C, D, E] :  ( (v3_membered(B) &  (v3_membered(C) &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) )  => k3_valued_1(A, B, C, D, E)=k1_valued_1(D, E)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_rfunct_1, axiom,  (! [A, B, C] :  ( (v3_membered(B) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  => k6_rfunct_1(A, B, C)=k4_rfunct_1(C)) ) ).
fof(redefinition_k6_subset_1, axiom,  (! [A, B] : k6_subset_1(A, B)=k4_xboole_0(A, B)) ).
fof(redefinition_k7_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k7_relset_1(A, B, C, D)=k7_relat_1(C, D)) ) ).
fof(redefinition_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_subset_1(A, B, C)=k4_xboole_0(B, C)) ) ).
fof(redefinition_k8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k8_relset_1(A, B, C, D)=k8_relat_1(C, D)) ) ).
fof(redefinition_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) <=> C=D) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(reflexivity_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => r2_relset_1(A, B, C, C)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm3, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d2, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn2d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d2, axiom, r1_xxreal_0(0, k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d3, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm3d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm3, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn2d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d2, axiom, r1_xxreal_0(1, k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm3d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn2d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm3d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ (r1_xxreal_0(3, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm2, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm3, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn2d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm3d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(1), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(1), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(1), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r3, axiom, r1_xxreal_0(k4_xcmplx_0(1), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn2d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn3d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm3d2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom, r1_xxreal_0(k4_xcmplx_0(2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r3, axiom, r1_xxreal_0(k4_xcmplx_0(2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom, r1_xxreal_0(k4_xcmplx_0(3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom, r1_xxreal_0(k4_xcmplx_0(3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r2, axiom, r1_xxreal_0(k4_xcmplx_0(3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r3, axiom, r1_xxreal_0(k4_xcmplx_0(3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm3d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn2d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rnm3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom, k2_xcmplx_0(0, 3)=3).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom, k2_xcmplx_0(0, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d3_rn1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d3_rnm1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm2d3_rnm2d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom, k2_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2, axiom, k2_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=0).
fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(1))=2).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(2))=1).
fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom, k2_xcmplx_0(3, k4_xcmplx_0(3))=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 3)=2).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=0).
fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 3)=1).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 2)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 3)=0).
fof(rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=2).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_r0_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rm1_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), 0)=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=2).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))=3).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r0_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r0_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 1)=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn1d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(2, 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r3_rm3, axiom, k6_xcmplx_0(0, 3)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rm3_r3, axiom, k6_xcmplx_0(0, k4_xcmplx_0(3))=3).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d3_rn1d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2, axiom, k6_xcmplx_0(1, 3)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom, k6_xcmplx_0(1, k4_xcmplx_0(2))=3).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1, axiom, k6_xcmplx_0(2, 3)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom, k6_xcmplx_0(2, k4_xcmplx_0(1))=3).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2, axiom, k6_xcmplx_0(2, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2, axiom, k6_xcmplx_0(2, k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom, k6_xcmplx_0(3, 0)=3).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(3, 1)=2).
fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom, k6_xcmplx_0(3, 2)=1).
fof(rqRealDiff__k6_xcmplx_0__r3_r3_r0, axiom, k6_xcmplx_0(3, 3)=0).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2, axiom, k6_xcmplx_0(3, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 2)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=2).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=1).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 0)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(3))=0).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 2)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=2).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), 1)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 0)=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 3)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=2).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=3).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_r0_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(1))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r0_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(1, 2)=k7_xcmplx_0(1, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3, axiom, k7_xcmplx_0(1, 3)=k7_xcmplx_0(1, 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom, k7_xcmplx_0(1, k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3, axiom, k7_xcmplx_0(1, k4_xcmplx_0(3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 2))=2).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 3))=3).
fof(rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(2, 3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(2, 1)=2).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(2, 2)=1).
fof(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3, axiom, k7_xcmplx_0(2, 3)=k7_xcmplx_0(2, 3)).
fof(rqRealDiv__k7_xcmplx_0__r3_r1_r3, axiom, k7_xcmplx_0(3, 1)=3).
fof(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2, axiom, k7_xcmplx_0(3, 2)=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r3_r3_r1, axiom, k7_xcmplx_0(3, 3)=1).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r3_r0, axiom, k3_xcmplx_0(0, 3)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm3_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn2d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(2, 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn3d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(3, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rnm1d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rnm2d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rm3_rm3, axiom, k3_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm3d2_rnm3d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 2))=1).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__r2_rn3d2_r3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(3, 2))=3).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom, k3_xcmplx_0(3, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d3_r1, axiom, k3_xcmplx_0(3, k7_xcmplx_0(1, 3))=1).
fof(rqRealMult__k3_xcmplx_0__r3_rn2d3_r2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(2, 3))=2).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=3).
fof(rqRealMult__k3_xcmplx_0__rm3_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm3_r1_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(2, 3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=1).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=2).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 2)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 3)=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(3))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn2d3_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm2d3_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 1)=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 2)=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 3)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn3d2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm3d2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 1)=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 3)=2).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(3, 2))=1).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 1)=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r2_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 2)=3).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(2, 3))=1).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 3)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(3))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm2d3_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 2)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 3)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(2))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(3))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn3d2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 1)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 3)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(3))=2).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(3, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))=3).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(2, 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=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__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom, k4_xcmplx_0(3)=k4_xcmplx_0(3)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom, k4_xcmplx_0(k4_xcmplx_0(3))=3).
fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 2)).
fof(s4_funct_2__e52_5__curve, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  & v1_xreal_0(D)) ) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k1_numbers, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  &  (! [F] :  (m1_subset_1(F, k1_numbers) => k3_funct_2(k1_numbers, k1_numbers, E, F)=k10_subset_1(k4_integra5(k2_xcmplx_0(D, k7_xcmplx_0(k6_xcmplx_0(A, D), 2)), F, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, C, k2_fdiff_1(B, k1_relset_1(k1_numbers, B)))), k1_numbers)) ) ) ) ) ) ).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc10_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(k5_xcmplx_0(A), k5_xcmplx_0(B))=k5_xcmplx_0(k3_xcmplx_0(A, B))) ) ).
fof(spc11_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k7_xcmplx_0(k5_xcmplx_0(A), k5_xcmplx_0(B))=k7_xcmplx_0(B, A)) ) ).
fof(spc12_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, k5_xcmplx_0(B))=k7_xcmplx_0(A, B)) ) ).
fof(spc1_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(1, A)=k5_xcmplx_0(A)) ) ).
fof(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc4_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(A, k7_xcmplx_0(B, C))=k7_xcmplx_0(k3_xcmplx_0(A, B), C)) ) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(symmetry_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) => r2_relset_1(A, B, D, C)) ) ) ).
fof(t106_xcmplx_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (A=k5_numbers)  => k3_xcmplx_0(A, k7_xcmplx_0(1, A))=1) ) ) ).
fof(t10_fcont_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r1_fcont_1(B, A) =>  (k1_funct_1(B, A)=k5_numbers | r1_fcont_1(k6_rfunct_1(k1_numbers, k1_numbers, B), A)) ) ) ) ) ) ).
fof(t10_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))  => v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ) ).
fof(t10_integra7, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_tarski(k3_integra5(A, B), C) &  (r2_fdiff_1(D, C) &  (r1_integra5(k3_integra5(A, B), k2_fdiff_1(D, C)) & v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, k2_fdiff_1(D, C), k3_integra5(A, B)))) ) ) )  => k1_funct_1(D, B)=k2_xcmplx_0(k4_integra5(A, B, k2_fdiff_1(D, C)), k1_funct_1(D, A))) ) ) ) ) ) ) ) ).
fof(t10_pdlax, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  (v1_xreal_0(C) =>  ( (v3_rcomp_1(B) &  (r2_hidden(C, B) & r1_tarski(B, k1_relset_1(k1_numbers, A))) )  =>  (r1_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, A, B), C) <=> r1_fdiff_1(A, C)) ) ) ) ) ) ) ) ).
fof(t11_integra5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v2_measure5(A) & m1_subset_1(A, k1_zfmisc_1(k1_numbers))) )  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(A, k1_relset_1(k1_numbers, B)) & v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A)))  => r1_integra5(A, B)) ) ) ) ) ).
fof(t11_pdlax, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (! [C] :  (v1_xreal_0(C) =>  ( (v3_rcomp_1(B) &  (r2_hidden(C, B) &  (r1_tarski(B, k1_relset_1(k1_numbers, A)) & r1_fdiff_1(A, C)) ) )  => k1_fdiff_1(A, C)=k1_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, A, B), C)) ) ) ) ) ) ) ).
fof(t13_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_fdiff_1(B, A) & r1_fdiff_1(C, k1_funct_1(B, A)))  =>  (r1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A) & k1_fdiff_1(k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, B, C), A)=k3_xcmplx_0(k1_fdiff_1(C, k1_funct_1(B, A)), k1_fdiff_1(B, A))) ) ) ) ) ) ) ) ).
fof(t13_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k9_xtuple_0(B)) => k1_funct_1(k3_relat_1(B, C), A)=k1_funct_1(C, k1_funct_1(B, A))) ) ) ) ) ) ).
fof(t15_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (r1_xxreal_0(D, C))  & r1_xxreal_0(k6_xcmplx_0(B, C), k6_xcmplx_0(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t16_fdiff_2, axiom,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_numbers)) =>  (r2_fdiff_1(A, B) =>  (r2_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, A, B), B) & r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(A, B), k2_fdiff_1(k2_partfun1(k1_numbers, k1_numbers, A, B), B))) ) ) ) ) ) ).
fof(t17_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integra5(k3_integra5(A, B), D) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, D, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(D)) & r2_hidden(C, k3_integra5(A, B))) ) ) )  =>  (r1_integra5(k3_integra5(A, C), D) &  (r1_integra5(k3_integra5(C, B), D) & k4_integra5(A, B, D)=k2_xcmplx_0(k4_integra5(A, C, D), k4_integra5(C, B, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_xboole_1, axiom,  (! [A] :  (! [B] : r1_tarski(k3_xboole_0(A, B), A)) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_curve, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, D)) &  (v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, D, k1_rcomp_1(A, B))) &  ( ~ (r1_xxreal_0(C, k1_funct_1(D, A)))  &  ( ~ (r1_xxreal_0(k1_funct_1(D, B), C))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, A))  &  ( ~ (r1_xxreal_0(B, E))  & C=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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(t1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, A))  => A=B) ) ) ) ) ).
fof(t1_xxreal_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, k1_xxreal_1(A, B)) <=>  (r1_xxreal_0(A, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ) ).
fof(t216_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(A, k7_xcmplx_0(A, 2))) ) ) ) ).
fof(t25_fdiff_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (r2_fdiff_1(B, A) => v1_fcont_1(k2_partfun1(k1_numbers, k1_numbers, B, A))) ) ) ) ).
fof(t27_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(k10_xtuple_0(B), k9_xtuple_0(A)) => k9_xtuple_0(k3_relat_1(B, A))=k9_xtuple_0(B)) ) ) ) ) ).
fof(t28_integra6, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  (v1_xreal_0(D) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_xxreal_0(A, B) &  (r1_integra5(k3_integra5(A, B), C) &  (v1_comseq_2(k2_partfun1(k1_numbers, k1_numbers, C, k3_integra5(A, B))) &  (r1_tarski(k3_integra5(A, B), k9_xtuple_0(C)) &  (r1_tarski(k2_rcomp_1(A, B), k9_xtuple_0(E)) &  ( (! [F] :  (v1_xreal_0(F) =>  (r2_hidden(F, k2_rcomp_1(A, B)) => k1_funct_1(E, F)=k4_integra5(A, F, C)) ) )  &  (r2_hidden(D, k2_rcomp_1(A, B)) & r1_fcont_1(C, D)) ) ) ) ) ) )  =>  (r1_fdiff_1(E, D) & k1_fdiff_1(E, D)=k1_funct_1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t2_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) )  => 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(t2_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, C))  => r1_xxreal_0(A, C)) ) ) ) ) ) ) ).
fof(t33_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) =>  (k10_xtuple_0(A)=k9_xtuple_0(k2_funct_1(A)) & k9_xtuple_0(A)=k10_xtuple_0(k2_funct_1(A))) ) ) ) ).
fof(t34_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(B) & r2_hidden(A, k9_xtuple_0(B)))  =>  (A=k1_funct_1(k2_funct_1(B), k1_funct_1(B, A)) & A=k1_funct_1(k3_relat_1(B, k2_funct_1(B)), A)) ) ) ) ) ).
fof(t35_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  ( (v2_funct_1(B) & r2_hidden(A, k10_xtuple_0(B)))  =>  (A=k1_funct_1(B, k1_funct_1(k2_funct_1(B), A)) & A=k1_funct_1(k3_relat_1(k2_funct_1(B), B), A)) ) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
fof(t3_curve, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (v4_fdiff_1(C) &  (v4_fdiff_1(D) &  (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r1_tarski(k1_rcomp_1(A, B), k1_relset_1(k1_numbers, D)) &  (v1_fcont_1(k2_fdiff_1(C, k1_relset_1(k1_numbers, C))) &  (v1_fcont_1(k2_fdiff_1(D, k1_relset_1(k1_numbers, D))) &  ( (! [E] :  (v1_xreal_0(E) =>  ~ ( (r2_hidden(E, k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D))) & r1_xxreal_0(k2_xcmplx_0(k1_square_1(k1_fdiff_1(C, E)), k1_square_1(k1_fdiff_1(D, E))), k5_numbers)) ) ) )  &  (! [E] :  (v1_xreal_0(E) =>  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  (! [H] :  ( (v3_rcomp_1(H) & m1_subset_1(H, k1_zfmisc_1(k1_numbers)))  =>  ~ ( ( ~ (r1_xxreal_0(A, E))  &  ( ~ (r1_xxreal_0(F, B))  &  (H=k9_subset_1(k1_numbers, k1_relset_1(k1_numbers, C), k1_relset_1(k1_numbers, D)) &  (r1_tarski(k1_rcomp_1(A, B), k2_rcomp_1(E, F)) &  (r1_tarski(k1_rcomp_1(E, F), H) &  (k1_relset_1(k1_numbers, G)=H &  ( (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, k1_rcomp_1(E, F)) => k1_funct_1(G, I)=k4_integra5(E, I, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(C, k1_relset_1(k1_numbers, C)), k2_fdiff_1(C, k1_relset_1(k1_numbers, C))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(D, k1_relset_1(k1_numbers, D)), k2_fdiff_1(D, k1_relset_1(k1_numbers, D)))), k4_taylor_1(k7_xcmplx_0(1, 2))))) ) )  &  (r2_fdiff_1(G, k2_rcomp_1(E, F)) &  (r2_relset_1(k1_numbers, k1_numbers, k2_fdiff_1(G, k2_rcomp_1(E, F)), k2_partfun1(k1_numbers, k1_numbers, k1_partfun1(k1_numbers, k1_numbers, k1_numbers, k1_numbers, k3_valued_1(k1_numbers, k1_numbers, k1_numbers, k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(C, k1_relset_1(k1_numbers, C)), k2_fdiff_1(C, k1_relset_1(k1_numbers, C))), k20_valued_1(k1_numbers, k1_numbers, k1_numbers, k2_fdiff_1(D, k1_relset_1(k1_numbers, D)), k2_fdiff_1(D, k1_relset_1(k1_numbers, D)))), k4_taylor_1(k7_xcmplx_0(1, 2))), k2_rcomp_1(E, F))) &  (v1_fcont_1(k2_fdiff_1(G, k2_rcomp_1(E, F))) &  ( (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, k2_rcomp_1(E, F)) =>  (r1_fdiff_1(G, I) & k1_fdiff_1(G, I)=k6_prepower(k2_xcmplx_0(k1_square_1(k1_fdiff_1(C, I)), k1_square_1(k1_fdiff_1(D, I))), k7_xcmplx_0(1, 2))) ) ) )  &  (! [I] :  (v1_xreal_0(I) =>  (r2_hidden(I, k1_rcomp_1(A, B)) => k1_funct_1(k1_curve(A, B, C, D), I)=k6_xcmplx_0(k1_funct_1(G, I), k1_funct_1(G, A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B, A), k10_xtuple_0(B))) ) ) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t47_xxreal_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (! [D] :  (v1_xxreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(C, A))  &  ( ~ (r1_xxreal_0(B, D))  &  ~ (r1_tarski(k1_xxreal_1(C, D), k4_xxreal_1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_fdiff_2, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) &  (v2_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  ( (r1_tarski(k2_rcomp_1(B, A), k1_relset_1(k1_numbers, C)) & r2_fdiff_1(C, k2_rcomp_1(B, A)))  =>  ( ( (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k2_rcomp_1(B, A)) & r1_xxreal_0(k1_fdiff_1(C, D), k5_numbers)) ) )  &  (? [D] :  (v1_xreal_0(D) &  (r2_hidden(D, k2_rcomp_1(B, A)) & r1_xxreal_0(k5_numbers, k1_fdiff_1(C, D))) ) ) )  |  (v2_funct_1(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))) &  (r2_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))), k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))) &  (! [D] :  (v1_xreal_0(D) =>  (r2_hidden(D, k1_relset_1(k1_numbers, k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))))) => k1_fdiff_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))), D)=k7_xcmplx_0(1, k1_fdiff_1(C, k1_funct_1(k2_partfun2(k1_numbers, k1_numbers, k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(B, A))), D)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
fof(t4_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(t4_xxreal_1, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  (r2_hidden(C, k4_xxreal_1(A, B)) <=>  ( ~ (r1_xxreal_0(C, A))  &  ~ (r1_xxreal_0(B, C)) ) ) ) ) ) ) ) ) ).
fof(t50_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  & r1_xxreal_0(k6_xcmplx_0(B, A), k5_numbers)) ) ) ) ) ) ).
fof(t5_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(k5_numbers, A)=k5_numbers) ) ).
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(t5_valued_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) )  =>  (! [C] : k1_funct_1(k18_valued_1(A, B), C)=k3_xcmplx_0(k1_funct_1(A, C), k1_funct_1(B, C))) ) ) ) ) ).
fof(t62_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, k9_xtuple_0(B)) => k9_xtuple_0(k5_relat_1(B, A))=A) ) ) ) ).
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(t72_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, 1)=A) ) ) ).
fof(t74_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(B, A) => k5_relat_1(k5_relat_1(C, A), B)=k5_relat_1(C, B)) ) ) ) ) ).
fof(t75_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( ~ (r1_xxreal_0(A, k5_numbers))  => k6_prepower(A, k2_xcmplx_0(B, C))=k3_xcmplx_0(k6_prepower(A, B), k6_prepower(A, C))) ) ) ) ) ) ) ).
fof(t76_xcmplx_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k3_xcmplx_0(k7_xcmplx_0(A, B), k7_xcmplx_0(C, D))=k7_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, D))) ) ) ) ) ) ) ) ).
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(t81_prepower, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k6_prepower(A, B), k5_numbers)) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t8_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (r1_xxreal_0(C, D) & r1_xxreal_0(k2_xcmplx_0(B, D), k2_xcmplx_0(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_rolle, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))))  =>  ( (r1_tarski(k2_rcomp_1(A, B), k1_relset_1(k1_numbers, C)) &  (r2_fdiff_1(C, k2_rcomp_1(A, B)) &  (! [D] :  (v1_xreal_0(D) =>  ~ ( (r2_hidden(D, k2_rcomp_1(A, B)) & r1_xxreal_0(k1_fdiff_1(C, D), k5_numbers)) ) ) ) ) )  => v7_valued_0(k2_partfun1(k1_numbers, k1_numbers, C, k2_rcomp_1(A, B)))) ) ) ) ) ) ) ).
