% Mizar problem: l12_pdlax,pdlax,779,5 
fof(l12_pdlax, conjecture,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)), k5_numbers))  &  ( ~ (r1_xxreal_0(k6_xcmplx_0(k28_sin_cos, k7_xcmplx_0(1, k2_xcmplx_0(A, 1))), k7_xcmplx_0(1, k2_xcmplx_0(A, 1))))  &  ( ~ (r1_xxreal_0(k28_sin_cos, k6_xcmplx_0(k28_sin_cos, k7_xcmplx_0(1, k2_xcmplx_0(A, 1)))))  &  (r1_tarski(k1_rcomp_1(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)), k6_xcmplx_0(k28_sin_cos, k7_xcmplx_0(1, k2_xcmplx_0(A, 1)))), k2_rcomp_1(k5_numbers, k28_sin_cos)) & k3_integra5(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)), k6_xcmplx_0(k28_sin_cos, k7_xcmplx_0(1, k2_xcmplx_0(A, 1))))=k1_rcomp_1(k7_xcmplx_0(1, k2_xcmplx_0(A, 1)), k6_xcmplx_0(k28_sin_cos, k7_xcmplx_0(1, k2_xcmplx_0(A, 1))))) ) ) ) ) ) ).
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(cc10_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_xxreal_2(A))  =>  (v3_membered(A) & v3_xxreal_2(A)) ) ) ).
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(cc11_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v2_xxreal_2(A))  =>  (v3_membered(A) & v4_xxreal_2(A)) ) ) ).
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(cc12_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) & v5_xxreal_2(A))  =>  (v5_membered(A) & v1_finset_1(A)) ) ) ).
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(cc13_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) & v4_xxreal_2(A))  =>  (v6_membered(A) &  (v1_finset_1(A) & v4_xxreal_2(A)) ) ) ) ).
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(cc14_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) & v3_membered(A)) ) ) ).
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(cc15_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xboole_0(A))  =>  (v2_membered(A) & v6_xxreal_2(A)) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc16_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
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_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v2_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_borsuk_5, axiom,  (! [A] :  (m1_subset_1(A, k3_numbers) => v1_xreal_0(A)) ) ).
fof(cc1_integra1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v2_measure5(A) => v1_rcomp_1(A)) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_rcomp_1(A) => v2_rcomp_1(A)) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
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(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_integra1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  ( ( ~ (v1_xboole_0(A))  & v2_measure5(A))  => v5_xxreal_2(A)) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_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(cc2_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(A)) ) ) ) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_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(cc3_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(A)) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc4_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) ) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_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(cc5_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) )  =>  (v2_membered(A) & v5_xxreal_2(A)) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_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(cc6_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_finset_1(A))  =>  (v3_membered(A) & v5_xxreal_2(A)) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc7_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v4_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v2_xxreal_2(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(cc8_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v3_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(A)) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc9_xxreal_2, axiom,  (! [A] :  (v6_membered(A) =>  (v6_membered(A) & v3_xxreal_2(A)) ) ) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d1_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(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(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(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_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(dt_k1_numbers, axiom, $true).
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_xboole_0, axiom, $true).
fof(dt_k1_xxreal_1, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k28_sin_cos, axiom, v1_xreal_0(k28_sin_cos)).
fof(dt_k2_numbers, axiom, $true).
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_xcmplx_0, axiom, $true).
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_xcmplx_0, axiom, $true).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, 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_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k5_xcmplx_0(A))) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_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_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_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(fc11_xxreal_2, axiom,  ( ~ (v3_xxreal_2(k1_numbers))  &  ~ (v4_xxreal_2(k1_numbers)) ) ).
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_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(fc12_xxreal_2, axiom, v6_xxreal_2(k6_numbers)).
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_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(fc13_xxreal_2, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v6_xxreal_2(k1_xxreal_1(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_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_xxreal_2, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v6_xxreal_2(k4_xxreal_1(A, B))) ) ).
fof(fc17_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ) ).
fof(fc17_xxreal_2, axiom, v6_xxreal_2(k1_numbers)).
fof(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc1_rcomp_1, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v3_rcomp_1(k4_xxreal_1(A, B))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc21_xxreal_2, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  ( ~ (v1_xxreal_2(k4_xxreal_1(A, B)))  &  ~ (v2_xxreal_2(k4_xxreal_1(A, B))) ) ) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_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_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_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_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_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_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
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_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
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_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc32_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k7_xcmplx_0(B, A))) ) ) ).
fof(fc33_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc34_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc3_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(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_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_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(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc5_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_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_numbers, axiom,  ~ (v1_xboole_0(k6_numbers)) ).
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(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_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_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(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_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
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(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
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(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(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(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_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(rc1_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(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_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_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(rc2_xxreal_2, axiom,  (? [A] :  (v6_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_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_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(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(rc3_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v5_xxreal_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_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(rc4_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  & v6_xxreal_2(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(rc5_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  (v2_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xxreal_2(A))  &  (v2_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc7_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(A)) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc8_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xxreal_2(A))  &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(A)) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
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_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_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__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_r100, axiom, r1_xxreal_0(0, 100)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r20, axiom, r1_xxreal_0(0, 20)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r313, axiom, r1_xxreal_0(0, 313)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r315, axiom, r1_xxreal_0(0, 315)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r63, axiom, r1_xxreal_0(0, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm20, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(20))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d100, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 100))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn313d100, axiom, r1_xxreal_0(0, k7_xcmplx_0(313, 100))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn63d20, axiom, r1_xxreal_0(0, k7_xcmplx_0(63, 20))).
fof(rqLessOrEqual__r1_xxreal_0__r100_r0, axiom,  ~ (r1_xxreal_0(100, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r100_r1, axiom,  ~ (r1_xxreal_0(100, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r100_r100, axiom, r1_xxreal_0(100, 100)).
fof(rqLessOrEqual__r1_xxreal_0__r100_r20, axiom,  ~ (r1_xxreal_0(100, 20)) ).
fof(rqLessOrEqual__r1_xxreal_0__r100_r313, axiom, r1_xxreal_0(100, 313)).
fof(rqLessOrEqual__r1_xxreal_0__r100_r315, axiom, r1_xxreal_0(100, 315)).
fof(rqLessOrEqual__r1_xxreal_0__r100_r63, axiom,  ~ (r1_xxreal_0(100, 63)) ).
fof(rqLessOrEqual__r1_xxreal_0__r100_rm1, axiom,  ~ (r1_xxreal_0(100, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r100_rn1d100, axiom,  ~ (r1_xxreal_0(100, k7_xcmplx_0(1, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__r100_rn213d100, axiom,  ~ (r1_xxreal_0(100, k7_xcmplx_0(213, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__r100_rn313d100, axiom,  ~ (r1_xxreal_0(100, k7_xcmplx_0(313, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__r100_rn63d20, axiom,  ~ (r1_xxreal_0(100, k7_xcmplx_0(63, 20))) ).
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_r100, axiom, r1_xxreal_0(1, 100)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r20, axiom, r1_xxreal_0(1, 20)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r213, axiom, r1_xxreal_0(1, 213)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r313, axiom, r1_xxreal_0(1, 313)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r315, axiom, r1_xxreal_0(1, 315)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r63, axiom, r1_xxreal_0(1, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm20, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(20))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d100, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn213d100, axiom, r1_xxreal_0(1, k7_xcmplx_0(213, 100))).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn313d100, axiom, r1_xxreal_0(1, k7_xcmplx_0(313, 100))).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn63d20, axiom, r1_xxreal_0(1, k7_xcmplx_0(63, 20))).
fof(rqLessOrEqual__r1_xxreal_0__r20_r0, axiom,  ~ (r1_xxreal_0(20, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r20_r1, axiom,  ~ (r1_xxreal_0(20, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r20_r100, axiom, r1_xxreal_0(20, 100)).
fof(rqLessOrEqual__r1_xxreal_0__r20_r20, axiom, r1_xxreal_0(20, 20)).
fof(rqLessOrEqual__r1_xxreal_0__r20_r63, axiom, r1_xxreal_0(20, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r20_rm1, axiom,  ~ (r1_xxreal_0(20, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r20_rm20, axiom,  ~ (r1_xxreal_0(20, k4_xcmplx_0(20))) ).
fof(rqLessOrEqual__r1_xxreal_0__r213_r0, axiom,  ~ (r1_xxreal_0(213, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r213_r1, axiom,  ~ (r1_xxreal_0(213, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r213_r20, axiom,  ~ (r1_xxreal_0(213, 20)) ).
fof(rqLessOrEqual__r1_xxreal_0__r213_r213, axiom, r1_xxreal_0(213, 213)).
fof(rqLessOrEqual__r1_xxreal_0__r313_r0, axiom,  ~ (r1_xxreal_0(313, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r313_r1, axiom,  ~ (r1_xxreal_0(313, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r313_r100, axiom,  ~ (r1_xxreal_0(313, 100)) ).
fof(rqLessOrEqual__r1_xxreal_0__r313_r20, axiom,  ~ (r1_xxreal_0(313, 20)) ).
fof(rqLessOrEqual__r1_xxreal_0__r313_r313, axiom, r1_xxreal_0(313, 313)).
fof(rqLessOrEqual__r1_xxreal_0__r313_r315, axiom, r1_xxreal_0(313, 315)).
fof(rqLessOrEqual__r1_xxreal_0__r313_rm1, axiom,  ~ (r1_xxreal_0(313, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r313_rn1d100, axiom,  ~ (r1_xxreal_0(313, k7_xcmplx_0(1, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__r313_rn213d100, axiom,  ~ (r1_xxreal_0(313, k7_xcmplx_0(213, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__r313_rn313d100, axiom,  ~ (r1_xxreal_0(313, k7_xcmplx_0(313, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__r313_rn63d20, axiom,  ~ (r1_xxreal_0(313, k7_xcmplx_0(63, 20))) ).
fof(rqLessOrEqual__r1_xxreal_0__r315_r0, axiom,  ~ (r1_xxreal_0(315, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r315_r1, axiom,  ~ (r1_xxreal_0(315, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r315_r100, axiom,  ~ (r1_xxreal_0(315, 100)) ).
fof(rqLessOrEqual__r1_xxreal_0__r315_r313, axiom,  ~ (r1_xxreal_0(315, 313)) ).
fof(rqLessOrEqual__r1_xxreal_0__r315_r315, axiom, r1_xxreal_0(315, 315)).
fof(rqLessOrEqual__r1_xxreal_0__r315_r63, axiom,  ~ (r1_xxreal_0(315, 63)) ).
fof(rqLessOrEqual__r1_xxreal_0__r315_rm1, axiom,  ~ (r1_xxreal_0(315, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r315_rn1d100, axiom,  ~ (r1_xxreal_0(315, k7_xcmplx_0(1, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__r315_rn313d100, axiom,  ~ (r1_xxreal_0(315, k7_xcmplx_0(313, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__r315_rn63d20, axiom,  ~ (r1_xxreal_0(315, k7_xcmplx_0(63, 20))) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r0, axiom,  ~ (r1_xxreal_0(63, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r1, axiom,  ~ (r1_xxreal_0(63, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r100, axiom, r1_xxreal_0(63, 100)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r20, axiom,  ~ (r1_xxreal_0(63, 20)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r63, axiom, r1_xxreal_0(63, 63)).
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_r100, axiom, r1_xxreal_0(k4_xcmplx_0(1), 100)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r20, axiom, r1_xxreal_0(k4_xcmplx_0(1), 20)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r313, axiom, r1_xxreal_0(k4_xcmplx_0(1), 313)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r315, axiom, r1_xxreal_0(k4_xcmplx_0(1), 315)).
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_rn1d100, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 100))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn213d100, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(213, 100))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn313d100, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(313, 100))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn63d20, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(63, 20))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 100), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 100), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r100, axiom, r1_xxreal_0(k7_xcmplx_0(1, 100), 100)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r313, axiom, r1_xxreal_0(k7_xcmplx_0(1, 100), 313)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r315, axiom, r1_xxreal_0(k7_xcmplx_0(1, 100), 315)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 100), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_rn1d100, axiom, r1_xxreal_0(k7_xcmplx_0(1, 100), k7_xcmplx_0(1, 100))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_rn213d100, axiom, r1_xxreal_0(k7_xcmplx_0(1, 100), k7_xcmplx_0(213, 100))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_rn313d100, axiom, r1_xxreal_0(k7_xcmplx_0(1, 100), k7_xcmplx_0(313, 100))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_rn63d20, axiom, r1_xxreal_0(k7_xcmplx_0(1, 100), k7_xcmplx_0(63, 20))).
fof(rqLessOrEqual__r1_xxreal_0__rn213d100_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(213, 100), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn213d100_r100, axiom, r1_xxreal_0(k7_xcmplx_0(213, 100), 100)).
fof(rqLessOrEqual__r1_xxreal_0__rn213d100_r313, axiom, r1_xxreal_0(k7_xcmplx_0(213, 100), 313)).
fof(rqLessOrEqual__r1_xxreal_0__rn213d100_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(213, 100), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn213d100_rn1d100, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(213, 100), k7_xcmplx_0(1, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn213d100_rn213d100, axiom, r1_xxreal_0(k7_xcmplx_0(213, 100), k7_xcmplx_0(213, 100))).
fof(rqLessOrEqual__r1_xxreal_0__rn213d100_rn313d100, axiom, r1_xxreal_0(k7_xcmplx_0(213, 100), k7_xcmplx_0(313, 100))).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(313, 100), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(313, 100), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_r100, axiom, r1_xxreal_0(k7_xcmplx_0(313, 100), 100)).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_r313, axiom, r1_xxreal_0(k7_xcmplx_0(313, 100), 313)).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_r315, axiom, r1_xxreal_0(k7_xcmplx_0(313, 100), 315)).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(313, 100), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_rn1d100, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(313, 100), k7_xcmplx_0(1, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_rn213d100, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(313, 100), k7_xcmplx_0(213, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_rn313d100, axiom, r1_xxreal_0(k7_xcmplx_0(313, 100), k7_xcmplx_0(313, 100))).
fof(rqLessOrEqual__r1_xxreal_0__rn313d100_rn63d20, axiom, r1_xxreal_0(k7_xcmplx_0(313, 100), k7_xcmplx_0(63, 20))).
fof(rqLessOrEqual__r1_xxreal_0__rn63d20_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(63, 20), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn63d20_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(63, 20), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn63d20_r100, axiom, r1_xxreal_0(k7_xcmplx_0(63, 20), 100)).
fof(rqLessOrEqual__r1_xxreal_0__rn63d20_r313, axiom, r1_xxreal_0(k7_xcmplx_0(63, 20), 313)).
fof(rqLessOrEqual__r1_xxreal_0__rn63d20_r315, axiom, r1_xxreal_0(k7_xcmplx_0(63, 20), 315)).
fof(rqLessOrEqual__r1_xxreal_0__rn63d20_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(63, 20), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn63d20_rn1d100, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(63, 20), k7_xcmplx_0(1, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn63d20_rn313d100, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(63, 20), k7_xcmplx_0(313, 100))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn63d20_rn63d20, axiom, r1_xxreal_0(k7_xcmplx_0(63, 20), k7_xcmplx_0(63, 20))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r100_r100, axiom, k2_xcmplx_0(0, 100)=100).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r20_r20, axiom, k2_xcmplx_0(0, 20)=20).
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__r100_r0_r100, axiom, k2_xcmplx_0(100, 0)=100).
fof(rqRealAdd__k2_xcmplx_0__r100_rm100_r0, axiom, k2_xcmplx_0(100, k4_xcmplx_0(100))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r20_r0_r20, axiom, k2_xcmplx_0(20, 0)=20).
fof(rqRealAdd__k2_xcmplx_0__r20_rm20_r0, axiom, k2_xcmplx_0(20, k4_xcmplx_0(20))=0).
fof(rqRealAdd__k2_xcmplx_0__rm100_r0_rm100, axiom, k2_xcmplx_0(k4_xcmplx_0(100), 0)=k4_xcmplx_0(100)).
fof(rqRealAdd__k2_xcmplx_0__rm100_r100_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(100), 100)=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_rn313d100_rn213d100, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(313, 100))=k7_xcmplx_0(213, 100)).
fof(rqRealAdd__k2_xcmplx_0__rm20_r20_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(20), 20)=0).
fof(rqRealAdd__k2_xcmplx_0__rn313d100_rm1_rn213d100, axiom, k2_xcmplx_0(k7_xcmplx_0(313, 100), k4_xcmplx_0(1))=k7_xcmplx_0(213, 100)).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r100_rm100, axiom, k6_xcmplx_0(0, 100)=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r20_rm20, axiom, k6_xcmplx_0(0, 20)=k4_xcmplx_0(20)).
fof(rqRealDiff__k6_xcmplx_0__r0_r213_rm213, axiom, k6_xcmplx_0(0, 213)=k4_xcmplx_0(213)).
fof(rqRealDiff__k6_xcmplx_0__r0_r313_rm313, axiom, k6_xcmplx_0(0, 313)=k4_xcmplx_0(313)).
fof(rqRealDiff__k6_xcmplx_0__r0_r315_rm315, axiom, k6_xcmplx_0(0, 315)=k4_xcmplx_0(315)).
fof(rqRealDiff__k6_xcmplx_0__r0_r63_rm63, axiom, k6_xcmplx_0(0, 63)=k4_xcmplx_0(63)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d100_rnm1d100, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 100))=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn313d100_rnm313d100, axiom, k6_xcmplx_0(0, k7_xcmplx_0(313, 100))=k7_xcmplx_0(k4_xcmplx_0(313), 100)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn63d20_rnm63d20, axiom, k6_xcmplx_0(0, k7_xcmplx_0(63, 20))=k7_xcmplx_0(k4_xcmplx_0(63), 20)).
fof(rqRealDiff__k6_xcmplx_0__r100_r0_r100, axiom, k6_xcmplx_0(100, 0)=100).
fof(rqRealDiff__k6_xcmplx_0__r100_r100_r0, axiom, k6_xcmplx_0(100, 100)=0).
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_rn313d100_rnm213d100, axiom, k6_xcmplx_0(1, k7_xcmplx_0(313, 100))=k7_xcmplx_0(k4_xcmplx_0(213), 100)).
fof(rqRealDiff__k6_xcmplx_0__r20_r0_r20, axiom, k6_xcmplx_0(20, 0)=20).
fof(rqRealDiff__k6_xcmplx_0__r20_r20_r0, axiom, k6_xcmplx_0(20, 20)=0).
fof(rqRealDiff__k6_xcmplx_0__r213_r0_r213, axiom, k6_xcmplx_0(213, 0)=213).
fof(rqRealDiff__k6_xcmplx_0__r313_r0_r313, axiom, k6_xcmplx_0(313, 0)=313).
fof(rqRealDiff__k6_xcmplx_0__r313_r100_r213, axiom, k6_xcmplx_0(313, 100)=213).
fof(rqRealDiff__k6_xcmplx_0__r313_r313_r0, axiom, k6_xcmplx_0(313, 313)=0).
fof(rqRealDiff__k6_xcmplx_0__r315_r0_r315, axiom, k6_xcmplx_0(315, 0)=315).
fof(rqRealDiff__k6_xcmplx_0__r63_r0_r63, axiom, k6_xcmplx_0(63, 0)=63).
fof(rqRealDiff__k6_xcmplx_0__r63_r63_r0, axiom, k6_xcmplx_0(63, 63)=0).
fof(rqRealDiff__k6_xcmplx_0__rm100_r0_rm100, axiom, k6_xcmplx_0(k4_xcmplx_0(100), 0)=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__rm100_rm100_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(100), k4_xcmplx_0(100))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm20_r0_rm20, axiom, k6_xcmplx_0(k4_xcmplx_0(20), 0)=k4_xcmplx_0(20)).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm20_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(20), k4_xcmplx_0(20))=0).
fof(rqRealDiff__k6_xcmplx_0__rm213_rm213_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(213), k4_xcmplx_0(213))=0).
fof(rqRealDiff__k6_xcmplx_0__rm313_rm313_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(313), k4_xcmplx_0(313))=0).
fof(rqRealDiff__k6_xcmplx_0__rm315_rm315_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(315), k4_xcmplx_0(315))=0).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm63_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(63), k4_xcmplx_0(63))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d100_rn1d100_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 100), k7_xcmplx_0(1, 100))=0).
fof(rqRealDiff__k6_xcmplx_0__rn313d100_r1_rn213d100, axiom, k6_xcmplx_0(k7_xcmplx_0(313, 100), 1)=k7_xcmplx_0(213, 100)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d100_rnm1d100_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), k7_xcmplx_0(k4_xcmplx_0(1), 100))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r100_rn1d100, axiom, k7_xcmplx_0(1, 100)=k7_xcmplx_0(1, 100)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r20_rn1d20, axiom, k7_xcmplx_0(1, 20)=k7_xcmplx_0(1, 20)).
fof(rqRealDiv__k7_xcmplx_0__r1_r313_rn1d313, axiom, k7_xcmplx_0(1, 313)=k7_xcmplx_0(1, 313)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm100_rnm1d100, axiom, k7_xcmplx_0(1, k4_xcmplx_0(100))=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
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_rm20_rnm1d20, axiom, k7_xcmplx_0(1, k4_xcmplx_0(20))=k7_xcmplx_0(k4_xcmplx_0(1), 20)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm313_rnm1d313, axiom, k7_xcmplx_0(1, k4_xcmplx_0(313))=k7_xcmplx_0(k4_xcmplx_0(1), 313)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d100_rm100, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 100))=k4_xcmplx_0(100)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=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_r100_r0, axiom, k3_xcmplx_0(0, 100)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r20_r0, axiom, k3_xcmplx_0(0, 20)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r315_r0, axiom, k3_xcmplx_0(0, 315)=0).
fof(rqRealMult__k3_xcmplx_0__r100_r0_r0, axiom, k3_xcmplx_0(100, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r100_r1_r100, axiom, k3_xcmplx_0(100, 1)=100).
fof(rqRealMult__k3_xcmplx_0__r100_rn1d100_r1, axiom, k3_xcmplx_0(100, k7_xcmplx_0(1, 100))=1).
fof(rqRealMult__k3_xcmplx_0__r100_rnm1d100_rm1, axiom, k3_xcmplx_0(100, k7_xcmplx_0(k4_xcmplx_0(1), 100))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r100_r100, axiom, k3_xcmplx_0(1, 100)=100).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r20_r20, axiom, k3_xcmplx_0(1, 20)=20).
fof(rqRealMult__k3_xcmplx_0__r1_r213_r213, axiom, k3_xcmplx_0(1, 213)=213).
fof(rqRealMult__k3_xcmplx_0__r1_r313_r313, axiom, k3_xcmplx_0(1, 313)=313).
fof(rqRealMult__k3_xcmplx_0__r1_r315_r315, axiom, k3_xcmplx_0(1, 315)=315).
fof(rqRealMult__k3_xcmplx_0__r1_r63_r63, axiom, k3_xcmplx_0(1, 63)=63).
fof(rqRealMult__k3_xcmplx_0__r1_rm100_rm100, axiom, k3_xcmplx_0(1, k4_xcmplx_0(100))=k4_xcmplx_0(100)).
fof(rqRealMult__k3_xcmplx_0__r1_rm20_rm20, axiom, k3_xcmplx_0(1, k4_xcmplx_0(20))=k4_xcmplx_0(20)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d20_rn1d20, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 20))=k7_xcmplx_0(1, 20)).
fof(rqRealMult__k3_xcmplx_0__r20_r0_r0, axiom, k3_xcmplx_0(20, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r20_r1_r20, axiom, k3_xcmplx_0(20, 1)=20).
fof(rqRealMult__k3_xcmplx_0__r20_rn1d20_r1, axiom, k3_xcmplx_0(20, k7_xcmplx_0(1, 20))=1).
fof(rqRealMult__k3_xcmplx_0__r20_rnm1d20_rm1, axiom, k3_xcmplx_0(20, k7_xcmplx_0(k4_xcmplx_0(1), 20))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r313_r1_r313, axiom, k3_xcmplx_0(313, 1)=313).
fof(rqRealMult__k3_xcmplx_0__r313_rn1d100_rn313d100, axiom, k3_xcmplx_0(313, k7_xcmplx_0(1, 100))=k7_xcmplx_0(313, 100)).
fof(rqRealMult__k3_xcmplx_0__r315_r0_r0, axiom, k3_xcmplx_0(315, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r315_r1_r315, axiom, k3_xcmplx_0(315, 1)=315).
fof(rqRealMult__k3_xcmplx_0__r315_rn1d100_rn63d20, axiom, k3_xcmplx_0(315, k7_xcmplx_0(1, 100))=k7_xcmplx_0(63, 20)).
fof(rqRealMult__k3_xcmplx_0__r63_r1_r63, axiom, k3_xcmplx_0(63, 1)=63).
fof(rqRealMult__k3_xcmplx_0__rm100_r1_rm100, axiom, k3_xcmplx_0(k4_xcmplx_0(100), 1)=k4_xcmplx_0(100)).
fof(rqRealMult__k3_xcmplx_0__rm100_rn1d100_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(100), k7_xcmplx_0(1, 100))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm100_rnm1d100_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(100), k7_xcmplx_0(k4_xcmplx_0(1), 100))=1).
fof(rqRealMult__k3_xcmplx_0__rm20_r1_rm20, axiom, k3_xcmplx_0(k4_xcmplx_0(20), 1)=k4_xcmplx_0(20)).
fof(rqRealMult__k3_xcmplx_0__rm20_rn1d20_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(20), k7_xcmplx_0(1, 20))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm20_rnm1d20_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(20), k7_xcmplx_0(k4_xcmplx_0(1), 20))=1).
fof(rqRealMult__k3_xcmplx_0__rm313_r1_rm313, axiom, k3_xcmplx_0(k4_xcmplx_0(313), 1)=k4_xcmplx_0(313)).
fof(rqRealMult__k3_xcmplx_0__rm315_r1_rm315, axiom, k3_xcmplx_0(k4_xcmplx_0(315), 1)=k4_xcmplx_0(315)).
fof(rqRealMult__k3_xcmplx_0__rm63_r1_rm63, axiom, k3_xcmplx_0(k4_xcmplx_0(63), 1)=k4_xcmplx_0(63)).
fof(rqRealMult__k3_xcmplx_0__rn1d100_r100_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 100), 100)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d100_r1_rn1d100, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 100), 1)=k7_xcmplx_0(1, 100)).
fof(rqRealMult__k3_xcmplx_0__rn1d100_r313_rn313d100, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 100), 313)=k7_xcmplx_0(313, 100)).
fof(rqRealMult__k3_xcmplx_0__rn1d100_r315_rn63d20, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 100), 315)=k7_xcmplx_0(63, 20)).
fof(rqRealMult__k3_xcmplx_0__rn1d20_r1_rn1d20, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 20), 1)=k7_xcmplx_0(1, 20)).
fof(rqRealMult__k3_xcmplx_0__rn1d313_r313_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 313), 313)=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d100_r100_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), 100)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d100_r1_rnm1d100, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
fof(rqRealMult__k3_xcmplx_0__rnm1d100_rm100_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), k4_xcmplx_0(100))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d20_r1_rnm1d20, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 20), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 20)).
fof(rqRealMult__k3_xcmplx_0__rnm1d20_rm20_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 20), k4_xcmplx_0(20))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d313_rm313_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 313), k4_xcmplx_0(313))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r100_rm100, axiom, k4_xcmplx_0(100)=k4_xcmplx_0(100)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r20_rm20, axiom, k4_xcmplx_0(20)=k4_xcmplx_0(20)).
fof(rqRealNeg__k4_xcmplx_0__r213_rm213, axiom, k4_xcmplx_0(213)=k4_xcmplx_0(213)).
fof(rqRealNeg__k4_xcmplx_0__r313_rm313, axiom, k4_xcmplx_0(313)=k4_xcmplx_0(313)).
fof(rqRealNeg__k4_xcmplx_0__r315_rm315, axiom, k4_xcmplx_0(315)=k4_xcmplx_0(315)).
fof(rqRealNeg__k4_xcmplx_0__r63_rm63, axiom, k4_xcmplx_0(63)=k4_xcmplx_0(63)).
fof(rqRealNeg__k4_xcmplx_0__rm100_r100, axiom, k4_xcmplx_0(k4_xcmplx_0(100))=100).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm20_r20, axiom, k4_xcmplx_0(k4_xcmplx_0(20))=20).
fof(rqRealNeg__k4_xcmplx_0__rm213_r213, axiom, k4_xcmplx_0(k4_xcmplx_0(213))=213).
fof(rqRealNeg__k4_xcmplx_0__rm313_r313, axiom, k4_xcmplx_0(k4_xcmplx_0(313))=313).
fof(rqRealNeg__k4_xcmplx_0__rm315_r315, axiom, k4_xcmplx_0(k4_xcmplx_0(315))=315).
fof(rqRealNeg__k4_xcmplx_0__rm63_r63, axiom, k4_xcmplx_0(k4_xcmplx_0(63))=63).
fof(rqRealNeg__k4_xcmplx_0__rn1d100_rnm1d100, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 100))=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
fof(rqRealNeg__k4_xcmplx_0__rn1d20_rnm1d20, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 20))=k7_xcmplx_0(k4_xcmplx_0(1), 20)).
fof(rqRealNeg__k4_xcmplx_0__rn313d100_rnm313d100, axiom, k4_xcmplx_0(k7_xcmplx_0(313, 100))=k7_xcmplx_0(k4_xcmplx_0(313), 100)).
fof(rqRealNeg__k4_xcmplx_0__rn63d20_rnm63d20, axiom, k4_xcmplx_0(k7_xcmplx_0(63, 20))=k7_xcmplx_0(k4_xcmplx_0(63), 20)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d100_rn1d100, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100))=k7_xcmplx_0(1, 100)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d20_rn1d20, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 20))=k7_xcmplx_0(1, 20)).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc100_boole, axiom,  ~ (v1_xboole_0(100)) ).
fof(spc100_numerals, axiom,  (v2_xxreal_0(100) & m1_subset_1(100, 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(spc20_boole, axiom,  ~ (v1_xboole_0(20)) ).
fof(spc20_numerals, axiom,  (v2_xxreal_0(20) & m1_subset_1(20, k4_ordinal1)) ).
fof(spc213_boole, axiom,  ~ (v1_xboole_0(213)) ).
fof(spc213_numerals, axiom,  (v2_xxreal_0(213) & m1_subset_1(213, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc313_boole, axiom,  ~ (v1_xboole_0(313)) ).
fof(spc313_numerals, axiom,  (v2_xxreal_0(313) & m1_subset_1(313, k4_ordinal1)) ).
fof(spc315_boole, axiom,  ~ (v1_xboole_0(315)) ).
fof(spc315_numerals, axiom,  (v2_xxreal_0(315) & m1_subset_1(315, k4_ordinal1)) ).
fof(spc3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(1, A)=k5_xcmplx_0(A)) ) ).
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(spc63_boole, axiom,  ~ (v1_xboole_0(63)) ).
fof(spc63_numerals, axiom,  (v2_xxreal_0(63) & m1_subset_1(63, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(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(t13_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(C, D))  => r1_xxreal_0(k6_xcmplx_0(A, D), k6_xcmplx_0(B, C))) ) ) ) ) ) ) ) ) ).
fof(t14_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(k6_xcmplx_0(B, C), k6_xcmplx_0(A, D))) ) ) ) ) ) ) ) ) ) ) ).
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(t17_leibniz1, axiom,  ( ~ (r1_xxreal_0(k28_sin_cos, k7_xcmplx_0(313, 100)))  &  ~ (r1_xxreal_0(k7_xcmplx_0(315, 100), k28_sin_cos)) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
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(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
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(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_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(t60_xcmplx_1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  ( ~ (A=k5_numbers)  => k7_xcmplx_0(A, A)=1) ) ) ).
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_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  ( (r1_xxreal_0(k5_numbers, C) & r1_xxreal_0(B, A))  => r1_xxreal_0(k7_xcmplx_0(B, C), k7_xcmplx_0(A, C))) ) ) ) ) ) ) ).
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(t7_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(C, D))  => r1_xxreal_0(k2_xcmplx_0(A, C), k2_xcmplx_0(B, D))) ) ) ) ) ) ) ) ) ).
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)) ) ) ) ) ) ) ) ).
