Theorem. (
t54_sin_cos3)
∀m2_subset_1 : set → set → set → prop, ∀v1_xcmplx_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀k3_xcmplx_0 : set → set → set, ∀k7_xcmplx_0 : set → set → set, ∀r2_hidden : set → set → prop, ∀k6_xcmplx_0 : set → set → set, ∀v3_membered : set → prop, ∀v1_membered : set → prop, ∀v5_membered : set → prop, ∀v1_int_1 : set → prop, ∀k4_numbers : set, ∀k6_numbers : set, ∀np__2 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk11_0 : set, ∀esk9_0 : set, ∀np__3 : set, ∀k1_xcmplx_0 : set, ∀np__0 : set, ∀esk7_2 : set → set → set, ∀esk3_1 : set → set, ∀esk8_0 : set, ∀v2_xxreal_0 : set → prop, ∀k4_ordinal1 : set, ∀esk5_2 : set → set → set, ∀esk6_0 : set, ∀esk10_0 : set, ∀v1_finset_1 : set → prop, ∀k1_xboole_0 : set, ∀v7_membered : set → prop, ∀k19_binop_2 : set → set, ∀np__1 : set, ∀k5_numbers : set, ∀v1_xxreal_0 : set → prop, ∀v1_rat_1 : set → prop, ∀v7_ordinal1 : set → prop, ∀v6_membered : set → prop, ∀v2_membered : set → prop, ∀v4_membered : set → prop, ∀r1_tarski : set → set → prop, ∀k6_binop_2 : set → set → set, ∀k9_binop_2 : set → set → set, ∀v1_xreal_0 : set → prop, ∀k4_xcmplx_0 : set → set, ∀esk4_2 : set → set → set, ∀v4_relat_1 : set → set → prop, ∀v1_relat_1 : set → prop, ∀v5_relat_1 : set → set → prop, ∀v1_partfun1 : set → set → prop, ∀k1_funct_1 : set → set → set, ∀k7_partfun1 : set → set → set → set, ∀k2_zfmisc_1 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀v1_funct_2 : set → set → set → prop, ∀v1_funct_1 : set → prop, ∀v1_xboole_0 : set → prop, ∀k2_numbers : set, ∀k3_sin_cos3 : set, ∀k3_binop_2 : set → set → set, ∀k7_complex1 : set, ∀k7_binop_2 : set → set, ∀k5_binop_2 : set → set → set, ∀k10_funct_2 : set → set → set → set → set, ∀k11_binop_2 : set → set → set, ∀k1_sin_cos2 : set, ∀k3_funct_2 : set → set → set → set → set, ∀k19_sin_cos : set, ∀k4_sin_cos2 : set, ∀k16_sin_cos : set, ∀k1_numbers : set, ∀m1_subset_1 : set → set → prop, (∀X2 X1, ((k3_binop_2 (k11_binop_2 (k3_funct_2 k1_numbers k1_numbers k1_sin_cos2 X1) (k3_funct_2 k1_numbers k1_numbers k19_sin_cos X2)) (k5_binop_2 (k7_binop_2 (k11_binop_2 (k3_funct_2 k1_numbers k1_numbers k4_sin_cos2 X1) (k3_funct_2 k1_numbers k1_numbers k16_sin_cos X2))) k7_complex1)) = (k10_funct_2 k2_numbers k2_numbers k3_sin_cos3 (k3_binop_2 X1 (k5_binop_2 (k7_binop_2 X2) k7_complex1))) → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k3_binop_2 (k11_binop_2 (k3_funct_2 k1_numbers k1_numbers k1_sin_cos2 X1) (k3_funct_2 k1_numbers k1_numbers k19_sin_cos X2)) (k5_binop_2 (k11_binop_2 (k3_funct_2 k1_numbers k1_numbers k4_sin_cos2 X1) (k3_funct_2 k1_numbers k1_numbers k16_sin_cos X2)) k7_complex1)) = (k10_funct_2 k2_numbers k2_numbers k3_sin_cos3 (k3_binop_2 X1 (k5_binop_2 X2 k7_complex1))) → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X3 X4 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k3_funct_2 X1 X3 X2 X4) X3 → False) → v1_funct_1 X2 → m1_subset_1 X4 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X4 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (k10_funct_2 X1 X2 X3 X4) X2 → False) → v1_funct_1 X3 → v1_funct_2 X3 X1 X2 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X1 X4 X3 X2, ((k3_funct_2 X1 X2 X3 X4) = (k7_partfun1 X2 X3 X4) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X3 → m1_subset_1 X4 X1 → v1_funct_2 X3 X1 X2 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X4 X1 X3 X2, ((k10_funct_2 X1 X2 X3 X4) = (k7_partfun1 X2 X3 X4) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X3 → v1_funct_2 X3 X1 X2 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X2 X3 X4 X1, ((k3_funct_2 X1 X3 X2 X4) = (k1_funct_1 X2 X4) → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X2 → m1_subset_1 X4 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (v1_partfun1 X2 X1 → False) → v1_xboole_0 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_partfun1 X2 X3 → False) → v1_funct_2 X2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X2 X1, (v1_partfun1 X1 X2 → False) → v1_funct_2 X1 X2 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X3 X1 X2, (v1_funct_2 X1 X2 X3 → False) → v1_partfun1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (m1_subset_1 (k7_partfun1 X2 X1 X3) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v5_relat_1 X1 X2 → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 X3 X1 → False) → m2_subset_1 X3 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m1_subset_1 X1 X3 → False) → m2_subset_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 X2) → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k3_xcmplx_0 X1 X3) (k3_xcmplx_0 X2 X3)) = (k3_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk4_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m2_subset_1 X1 X3 X2 → False) → m1_subset_1 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X2 X3, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) = (k2_xcmplx_0 X1 (k2_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, ((k7_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k7_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → v1_xboole_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → v1_xboole_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, ((k2_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k4_xcmplx_0 (k2_xcmplx_0 X1 X2)) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, ((k6_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (m1_subset_1 (k9_binop_2 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 (k11_binop_2 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 (k6_binop_2 X1 X2) k2_numbers → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (m1_subset_1 (k3_binop_2 X1 X2) k2_numbers → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (m1_subset_1 (k5_binop_2 X1 X2) k2_numbers → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_xcmplx_0 (k7_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (v1_xcmplx_0 (k6_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (v1_xcmplx_0 (k3_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (v1_xcmplx_0 (k2_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v4_membered X2 → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_membered X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_membered X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_membered X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v6_membered X2 → False) → v6_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_membered X2 → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k6_binop_2 X1 X2) = (k7_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k11_binop_2 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, ((k5_binop_2 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 X2) = (k2_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k9_binop_2 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, ((k3_binop_2 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k9_binop_2 X1 X2) = (k9_binop_2 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, ((k11_binop_2 X1 X2) = (k11_binop_2 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, ((k3_binop_2 X1 X2) = (k3_binop_2 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k5_binop_2 X1 X2) = (k5_binop_2 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v7_ordinal1 X2 → False) → v6_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_int_1 X2 → False) → v5_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_rat_1 X2 → False) → v4_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xreal_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xxreal_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xcmplx_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v3_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → False) → (∀X1, (v1_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k2_numbers) → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k5_numbers) → False) → (∀X1, (v5_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k4_numbers) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xcmplx_0 X1 → v1_xboole_0 (k4_xcmplx_0 X1) → False) → (∀X1, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (m1_subset_1 (k7_binop_2 X1) k1_numbers → False) → v1_xreal_0 X1 → False) → (∀X1, (m1_subset_1 (k19_binop_2 X1) k4_numbers → False) → v1_int_1 X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → m1_subset_1 X1 k2_numbers → False) → (∀X1, (v1_xcmplx_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 k5_numbers → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_xcmplx_0 X1 np__1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k6_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k2_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_xcmplx_0 k6_numbers X1) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_xcmplx_0 X1 k6_numbers) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_binop_2 (k7_binop_2 X1)) = X1 → False) → v1_xreal_0 X1 → False) → (∀X1, ((k19_binop_2 (k19_binop_2 X1)) = X1 → False) → v1_int_1 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, ((k7_binop_2 X1) = (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k19_binop_2 X1) = (k4_xcmplx_0 X1) → False) → v1_int_1 X1 → False) → (∀X1, (v7_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_membered X1 → False) → v5_membered X1 → False) → (∀X1, (v3_membered X1 → False) → v4_membered X1 → False) → (∀X1, (v2_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v6_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_membered X1 → False) → v6_membered X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k3_binop_2 (k5_binop_2 (k6_binop_2 (k3_binop_2 np__1 (k5_binop_2 (k19_binop_2 np__1) k7_complex1)) np__2) (k10_funct_2 k2_numbers k2_numbers k3_sin_cos3 (k3_binop_2 esk1_0 (k5_binop_2 esk2_0 k7_complex1)))) (k5_binop_2 (k6_binop_2 (k3_binop_2 np__1 k7_complex1) np__2) (k10_funct_2 k2_numbers k2_numbers k3_sin_cos3 (k3_binop_2 esk1_0 (k5_binop_2 (k7_binop_2 esk2_0) k7_complex1))))) = (k9_binop_2 (k11_binop_2 (k3_funct_2 k1_numbers k1_numbers k1_sin_cos2 esk1_0) (k3_funct_2 k1_numbers k1_numbers k19_sin_cos esk2_0)) (k11_binop_2 (k3_funct_2 k1_numbers k1_numbers k4_sin_cos2 esk1_0) (k3_funct_2 k1_numbers k1_numbers k16_sin_cos esk2_0))) → False) → (v1_finset_1 k4_numbers → False) → (v1_finset_1 k2_numbers → False) → (v1_finset_1 k1_numbers → False) → (v1_xboole_0 esk11_0 → False) → (v1_xboole_0 esk10_0 → False) → (v1_xboole_0 esk9_0 → False) → (v1_xboole_0 esk6_0 → False) → (v1_xboole_0 np__3 → False) → (v1_xboole_0 k4_numbers → False) → (v1_xboole_0 k2_numbers → False) → (v1_xboole_0 np__2 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k1_numbers → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2))) = np__0 → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k2_xcmplx_0 (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0) (k4_xcmplx_0 np__1)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = np__0 → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2))) = np__0 → False) → False) → (((k2_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = np__1 → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = k1_xcmplx_0 → False) → False) → (((k2_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = np__1 → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0) np__1)) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = np__0 → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0) np__1)) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__3 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 k1_xcmplx_0 np__1)) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k3_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) np__1) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k3_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) k1_xcmplx_0) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0)) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) np__1) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k4_xcmplx_0 np__1)) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__3 np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) np__0) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) k1_xcmplx_0) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k3_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) np__1) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k3_xcmplx_0 np__1 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k3_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0) (k4_xcmplx_0 np__1))) = k1_xcmplx_0 → False) → False) → (((k3_xcmplx_0 (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 k1_xcmplx_0 np__1)) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k4_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2))) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k3_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) k1_xcmplx_0) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k4_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k3_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) k1_xcmplx_0) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k6_xcmplx_0 np__2 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__3 np__2)) → False) → False) → (((k3_xcmplx_0 k1_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k3_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0) (k4_xcmplx_0 np__1))) = (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__3) np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0)) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__3 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k3_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) np__1) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) k1_xcmplx_0) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) → False) → False) → (((k6_xcmplx_0 np__2 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2))) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) k1_xcmplx_0) (k7_xcmplx_0 np__3 np__2)) → False) → False) → (((k3_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) (k2_xcmplx_0 (k3_xcmplx_0 (k4_xcmplx_0 np__1) k1_xcmplx_0) (k4_xcmplx_0 np__1))) = np__1 → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 np__1 np__2)) np__1) = (k2_xcmplx_0 (k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) k1_xcmplx_0) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) → False) → False) → (((k6_xcmplx_0 (k2_xcmplx_0 (k3_xcmplx_0 (