Theorem. (
t43_fuzzy_2)
∀k1_funct_1 : set → set → set, ∀esk20_4 : set → set → set → set → set, ∀k1_relset_1 : set → set → set, ∀r2_funct_2 : set → set → set → set → prop, ∀r2_hidden : set → set → prop, ∀k1_fuzzy_1 : set → set → set → set, ∀k1_square_1 : set → set → set, ∀r1_xxreal_0 : set → set → prop, ∀k9_xtuple_0 : set → set, ∀v1_relat_1 : set → prop, ∀m2_subset_1 : set → set → set → prop, ∀k3_numbers : set, ∀v4_membered : set → prop, ∀v4_relat_1 : set → set → prop, ∀v4_valued_0 : set → prop, ∀v6_membered : set → prop, ∀v2_valued_0 : set → prop, ∀v2_membered : set → prop, ∀esk7_2 : set → set → set, ∀k4_xxreal_0 : set → set → set, ∀v1_xreal_0 : set → prop, ∀v1_rat_1 : set → prop, ∀v7_ordinal1 : set → prop, ∀v1_xxreal_0 : set → prop, ∀r1_tarski : set → set → prop, ∀k5_numbers : set, ∀esk19_1 : set → set, ∀v7_membered : set → prop, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀np__0 : set, ∀v1_finset_1 : set → prop, ∀esk16_0 : set, ∀esk9_0 : set, ∀esk6_1 : set → set, ∀esk12_0 : set, ∀esk13_0 : set, ∀k4_ordinal1 : set, ∀esk15_1 : set → set, ∀esk10_2 : set → set → set, ∀esk8_0 : set, ∀esk14_0 : set, ∀esk17_0 : set, ∀esk18_1 : set → set, ∀esk11_1 : set → set, ∀v1_measure5 : set → prop, ∀v6_xxreal_2 : set → prop, ∀k1_xxreal_1 : set → set → set, ∀v2_xxreal_0 : set → prop, ∀v1_subset_1 : set → set → prop, ∀v1_int_1 : set → prop, ∀k3_xxreal_0 : set → set → set, ∀k3_xcmplx_0 : set → set → set, ∀v1_xcmplx_0 : set → prop, ∀v1_membered : set → prop, ∀v1_valued_0 : set → prop, ∀v3_membered : set → prop, ∀v3_valued_0 : set → prop, ∀v5_membered : set → prop, ∀k4_numbers : set, ∀k1_xboole_0 : set, ∀k2_square_1 : set → set → set, ∀k2_fuzzy_1 : set → set → set → set, ∀v1_xboole_0 : set → prop, ∀v1_funct_1 : set → prop, ∀v5_relat_1 : set → set → prop, ∀np__1 : set, ∀k6_numbers : set, ∀k1_rcomp_1 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀k2_zfmisc_1 : set → set → set, ∀m1_subset_1 : set → set → prop, ∀v1_funct_2 : set → set → set → prop, ∀k1_numbers : set, ∀k8_real_1 : set → set → set, ∀esk5_4 : set → set → set → set → set, ∀k1_seq_1 : set → set → set, ∀k2_fuzzy_2 : set → set → set → set, (∀X4 X1 X3 X2, (X1 = (k2_fuzzy_2 X2 X3 X4) → False) → (v1_xboole_0 X2 → False) → (k8_real_1 (k1_seq_1 X3 (esk5_4 X2 X3 X4 X1)) (k1_seq_1 X4 (esk5_4 X2 X3 X4 X1))) = (k1_seq_1 X1 (esk5_4 X2 X3 X4 X1)) → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_1 X1 → v1_funct_2 X4 X2 k1_numbers → v1_funct_2 X3 X2 k1_numbers → v1_funct_2 X1 X2 k1_numbers → v5_relat_1 X4 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers)) → False) → (∀X2 X3 X1 X4, (X1 = X4 → False) → (k1_relset_1 X2 X1) = (k1_relset_1 X2 X4) → (k1_funct_1 X1 (esk20_4 X2 X3 X1 X4)) = (k1_funct_1 X4 (esk20_4 X2 X3 X1 X4)) → v1_funct_1 X4 → v1_funct_1 X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X4 X2 X3 X1, (X4 = (k2_fuzzy_2 X1 X2 X3) → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk5_4 X1 X2 X3 X4) X1 → False) → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X4 X1 k1_numbers → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X4 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X1 X3 X2 X4, (r2_funct_2 X2 X3 X4 X1 → False) → v1_funct_1 X4 → v1_funct_1 X1 → v1_funct_2 X4 X2 X3 → v1_funct_2 X1 X2 X3 → r2_funct_2 X2 X3 X1 X4 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X3 X4 X1 X5, ((k1_seq_1 X1 X5) = (k8_real_1 (k1_seq_1 X3 X5) (k1_seq_1 X4 X5)) → False) → (v1_xboole_0 X2 → False) → X1 = (k2_fuzzy_2 X2 X3 X4) → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_1 X1 → m1_subset_1 X5 X2 → v1_funct_2 X4 X2 k1_numbers → v1_funct_2 X3 X2 k1_numbers → v1_funct_2 X1 X2 k1_numbers → v5_relat_1 X4 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 k1_numbers)) → False) → (∀X1 X2 X3 X4, (X3 = X4 → False) → (r2_hidden (esk20_4 X1 X2 X3 X4) (k1_relset_1 X1 X3) → False) → (k1_relset_1 X1 X3) = (k1_relset_1 X1 X4) → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X1 X2 X3 X4, (X3 = X4 → False) → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_2 X4 X1 X2 → v1_funct_2 X3 X1 X2 → r2_funct_2 X1 X2 X3 X4 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X1 X2 X3 X4, (X3 = X4 → False) → (m1_subset_1 (esk20_4 X1 X2 X3 X4) X1 → False) → (k1_relset_1 X1 X3) = (k1_relset_1 X1 X4) → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X3 X2 X1 X4, ((k2_square_1 (k1_seq_1 X1 X2) (k1_seq_1 X3 X2)) = (k1_seq_1 (k2_fuzzy_1 X4 X1 X3) X2) → False) → (v1_xboole_0 X4 → False) → v1_funct_1 X3 → v1_funct_1 X1 → m1_subset_1 X2 X4 → v1_funct_2 X3 X4 k1_numbers → v1_funct_2 X1 X4 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 k1_numbers)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 k1_numbers)) → False) → (∀X3 X2 X1 X4, ((k1_square_1 (k1_seq_1 X1 X2) (k1_seq_1 X3 X2)) = (k1_seq_1 (k1_fuzzy_1 X4 X1 X3) X2) → False) → (v1_xboole_0 X4 → False) → v1_funct_1 X3 → v1_funct_1 X1 → m1_subset_1 X2 X4 → v1_funct_2 X3 X4 k1_numbers → v1_funct_2 X1 X4 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 k1_numbers)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k1_fuzzy_1 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k2_fuzzy_2 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k2_fuzzy_1 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X4 X1 X2, (r2_funct_2 X3 X4 X1 X2 → False) → X1 = X2 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funct_2 X2 X3 X4 → v1_funct_2 X1 X3 X4 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_funct_2 (k1_fuzzy_1 X1 X2 X3) X1 k1_numbers → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_funct_2 (k2_fuzzy_2 X1 X2 X3) X1 k1_numbers → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_funct_2 (k2_fuzzy_1 X1 X2 X3) X1 k1_numbers → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X4 X1 X3 X2, (r2_funct_2 X2 X3 X1 X1 → False) → v1_funct_1 X4 → v1_funct_1 X1 → v1_funct_2 X4 X2 X3 → v1_funct_2 X1 X2 X3 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v5_relat_1 (k1_fuzzy_1 X1 X2 X3) (k1_rcomp_1 k6_numbers np__1) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v5_relat_1 (k2_fuzzy_2 X1 X2 X3) (k1_rcomp_1 k6_numbers np__1) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v5_relat_1 (k2_fuzzy_1 X1 X2 X3) (k1_rcomp_1 k6_numbers np__1) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_funct_1 (k1_fuzzy_1 X1 X2 X3) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_funct_1 (k2_fuzzy_2 X1 X2 X3) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_funct_1 (k2_fuzzy_1 X1 X2 X3) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, ((k1_fuzzy_1 X1 X2 X3) = (k1_fuzzy_1 X1 X3 X2) → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, ((k2_fuzzy_2 X1 X2 X3) = (k2_fuzzy_2 X1 X3 X2) → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X2 X1, ((k2_fuzzy_1 X1 X2 X3) = (k2_fuzzy_1 X1 X3 X2) → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X1 X2, ((k1_fuzzy_1 X1 X2 X2) = X2 → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X3 X1 X2, ((k2_fuzzy_1 X1 X2 X2) = X2 → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_funct_2 X3 X1 k1_numbers → v1_funct_2 X2 X1 k1_numbers → v5_relat_1 X3 (k1_rcomp_1 k6_numbers np__1) → v5_relat_1 X2 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers)) → False) → (∀X1 X2 X3, (v1_xboole_0 X3 → False) → (r1_xxreal_0 (k1_seq_1 X1 X2) np__1 → False) → v1_funct_1 X1 → m1_subset_1 X2 X3 → v1_funct_2 X1 X3 k1_numbers → v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 k1_numbers)) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (r1_xxreal_0 k6_numbers (k1_seq_1 X1 X2) → False) → v1_funct_1 X1 → m1_subset_1 X2 X3 → v1_funct_2 X1 X3 k1_numbers → v5_relat_1 X1 (k1_rcomp_1 k6_numbers np__1) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 k1_numbers)) → False) → (∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4)) → False) → (∀X2 X1 X3, (X3 = k1_xboole_0 → False) → ((k1_relset_1 X2 X1) = X2 → False) → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → X3 = k1_xboole_0 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X2 X3, (X3 = k1_xboole_0 → False) → (v1_funct_2 X2 X1 X3 → False) → (k1_relset_1 X1 X2) = X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X2 X1 X3, ((k2_square_1 (k8_real_1 X3 X1) (k8_real_1 X3 X2)) = (k8_real_1 X3 (k2_square_1 X1 X2)) → False) → m1_subset_1 X3 k1_numbers → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → r1_xxreal_0 k6_numbers X3 → False) → (∀X1 X2 X3, (v1_funct_2 X1 X2 X3 → False) → X3 = k1_xboole_0 → X1 = k1_xboole_0 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → 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) → (∀X1 X3 X2, (v5_relat_1 X2 k3_numbers → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v5_relat_1 X2 k4_numbers → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X1 X3 X2, (v4_valued_0 X2 → False) → v6_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v3_valued_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v2_valued_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X3 X2, (v1_valued_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 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 (esk7_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) → (∀X2 X1, (m1_subset_1 (k2_square_1 X1 X2) k1_numbers → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (k1_square_1 X1 X2) k1_numbers → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X2, (v5_relat_1 X2 k3_numbers → False) → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_relat_1 X2 k4_numbers → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → m1_subset_1 X2 (k1_zfmisc_1 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, ((k2_square_1 X1 X2) = (k4_xxreal_0 X1 X2) → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k1_square_1 X1 X2) = (k3_xxreal_0 X1 X2) → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k2_square_1 X1 X2) = (k2_square_1 X2 X1) → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k1_square_1 X1 X2) = (k1_square_1 X2 X1) → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (k8_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (v1_int_1 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X2 X1, (v1_rat_1 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → False) → (∀X2 X1, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, (m1_subset_1 (k1_seq_1 X1 X2) k1_numbers → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 (k1_rcomp_1 X1 X2) (k1_zfmisc_1 k1_numbers) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_zfmisc_1 X1 X2) → False) → (∀X2 X1, ((k2_square_1 X1 X1) = X1 → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k1_square_1 X1 X1) = X1 → False) → m1_subset_1 X2 k1_numbers → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k8_real_1 X1 X2) = (k8_real_1 X2 X1) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k8_real_1 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (v7_ordinal1 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X2 X1, (v1_xxreal_0 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v2_valued_0 X1 → False) → (∀X2 X1, (v1_xcmplx_0 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_valued_0 X1 → False) → (∀X1 X2, (v4_valued_0 X2 → False) → v1_relat_1 X1 → v4_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_valued_0 X2 → False) → v1_relat_1 X1 → v3_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_valued_0 X2 → False) → v1_relat_1 X1 → v2_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_valued_0 X2 → False) → v1_relat_1 X1 → v1_valued_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, ((k1_seq_1 X1 X2) = (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k3_numbers → False) → v4_membered X1 → False) → (∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k4_numbers → False) → v5_membered X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → 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) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (r1_xxreal_0 X2 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k1_xxreal_1 X1 X2) = (k1_rcomp_1 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, ((k4_xxreal_0 X1 X2) = (k4_xxreal_0 X2 X1) → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, ((k3_xxreal_0 X1 X2) = (k3_xxreal_0 X2 X1) → False) → v1_xxreal_0 X2 → v1_xxreal_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) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (v5_relat_1 X1 k3_numbers → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X1, (v6_xxreal_2 X1 → False) → v1_measure5 X1 → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → False) → (∀X1, (v1_measure5 X1 → False) → v1_xboole_0 X1 → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → False) → (∀X2 X1, (v4_valued_0 (k2_zfmisc_1 X2 X1) → False) → v6_membered X1 → False) → (∀X2 X1, (v3_valued_0 (k2_zfmisc_1 X2 X1) → False) → v3_membered X1 → False) → (∀X2 X1, (v2_valued_0 (k2_zfmisc_1 X2 X1) → False) → v2_membered X1 → False) → (∀X2 X1, (v1_valued_0 (k2_zfmisc_1 X2 X1) → False) → v1_membered X1 → 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, (v4_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k5_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k3_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k4_numbers → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v5_relat_1 X1 k1_numbers → False) → (∀X1, (v4_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k3_numbers) → False) → (∀X1, (v3_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k1_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, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk11_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, ((k4_xxreal_0 X1 X1) = X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, ((k3_xxreal_0 X1 X1) = X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, (r1_xxreal_0 X1 X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X1, (v5_relat_1 X1 k3_numbers → False) → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X1, (v5_relat_1 X1 k4_numbers → False) → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk19_1 X1) X1 → False) → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 k5_numbers → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk11_1 X1) → False) → (∀X1, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_xcmplx_0 X1 k6_numbers) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v4_valued_0 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_valued_0 X1 → False) → v1_relat_1 X1 → v4_valued_0 X1 → False) → (∀X1, (v2_valued_0 X1 → False) → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X1, (v1_valued_0 X1 → False) → v1_relat_1 X1 → v3_valued_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 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_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) → (r2_funct_2 esk1_0 k1_numbers (k2_fuzzy_2 esk1_0 esk2_0 (k2_fuzzy_1 esk1_0 esk3_0 esk4_0)) (k2_fuzzy_1 esk1_0 (k2_fuzzy_2 esk1_0 esk2_0 esk3_0) (k2_fuzzy_2 esk1_0 esk2_0 esk4_0)) → False) → (∀X1, v1_subset_1 (esk18_1 X1) X1 → False) → (r1_xxreal_0 np__1 np__0 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_finset_1 k3_numbers → False) → (v1_finset_1 k4_numbers → False) → (v1_finset_1 k1_numbers → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 esk16_0 → False) → (v1_xboole_0 esk14_0 → False) → (v1_xboole_0 esk9_0 → False) → (