Theorem. (
t46_classes1)
∀k4_xboole_0 : set → set → set, ∀esk6_3 : set → set → set → set, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v1_ordinal1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk25_1 : set → set, ∀esk11_1 : set → set, ∀v3_funct_1 : set → prop, ∀v2_relat_1 : set → prop, ∀v2_ordinal1 : set → prop, ∀esk19_1 : set → set, ∀esk23_0 : set, ∀esk24_0 : set, ∀esk17_0 : set, ∀esk10_0 : set, ∀esk16_1 : set → set, ∀esk21_0 : set, ∀esk18_0 : set, ∀esk13_0 : set, ∀esk12_0 : set, ∀esk9_0 : set, ∀o_0_0_xboole_0 : set, ∀esk8_0 : set, ∀esk15_0 : set, ∀esk7_1 : set → set, ∀esk14_0 : set, ∀esk20_0 : set, ∀esk27_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀k1_xboole_0 : set, ∀v5_ordinal1 : set → prop, ∀k1_classes1 : set → set, ∀v3_relat_1 : set → prop, ∀v2_funct_1 : set → prop, ∀esk22_1 : set → set, ∀esk26_1 : set → set, ∀esk3_1 : set → set, ∀v6_ordinal1 : set → prop, ∀v4_funct_1 : set → prop, ∀v1_relat_1 : set → prop, ∀v1_funct_1 : set → prop, ∀v7_ordinal1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀esk4_2 : set → set → set, ∀esk28_2 : set → set → set, ∀v3_ordinal1 : set → prop, ∀k2_xboole_0 : set → set → set, ∀k1_tarski : set → set, ∀r1_tarski : set → set → prop, ∀k4_classes1 : set → set, ∀r2_hidden : set → set → prop, ∀esk5_3 : set → set → set → set, ∀k3_xboole_0 : set → set → set, (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → r2_hidden (esk5_3 X1 X2 X3) X3 → r2_hidden (esk5_3 X1 X2 X3) X2 → r2_hidden (esk5_3 X1 X2 X3) X1 → False) → (∀X1 X3 X2, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X2 → False) → r2_hidden (esk6_3 X1 X2 X3) X3 → r2_hidden (esk6_3 X1 X2 X3) X1 → False) → (∀X2 X3 X1, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → r2_hidden (esk6_3 X1 X2 X3) X2 → False) → (∀X1 X3 X2, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk6_3 X1 X2 X3) X3 → False) → (r2_hidden (esk6_3 X1 X2 X3) X1 → False) → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk5_3 X1 X2 X3) X3 → False) → (r2_hidden (esk5_3 X1 X2 X3) X1 → False) → False) → (∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk5_3 X1 X2 X3) X3 → False) → (r2_hidden (esk5_3 X1 X2 X3) X2 → False) → False) → (∀X1 X2, (r1_tarski X1 (k4_classes1 X2) → False) → v3_ordinal1 X2 → r2_hidden X1 (k4_classes1 (k2_xboole_0 X2 (k1_tarski X2))) → False) → (∀X1 X2, (r2_hidden X1 (k4_classes1 (k2_xboole_0 X2 (k1_tarski X2))) → False) → v3_ordinal1 X2 → r1_tarski X1 (k4_classes1 X2) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk28_2 X3 X2) → False) → (∀X2 X3 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_xboole_0 X2 X3) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk4_2 X1 X2) X2 → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X4 = (k4_xboole_0 X2 X3) → r2_hidden X1 X2 → False) → (∀X1, v3_ordinal1 X1 → v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X4 X3 X2 X1, X3 = (k4_xboole_0 X4 X2) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (r2_hidden (esk28_2 X1 X2) X2 → False) → r2_hidden X1 X2 → 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) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k4_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X4 X2) → r2_hidden X1 X3 → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r1_tarski X1 X2 → r2_hidden X3 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) → (∀X1, (v7_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → v3_ordinal1 X1 → v7_ordinal1 X1 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk4_2 X1 X2) X1 → False) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_xboole_0 X1 X2) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_xboole_0 X2 X1) → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1, (v3_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → v3_ordinal1 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_relat_1 (k2_xboole_0 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X2 X1, (r1_tarski X2 X1 → False) → v1_ordinal1 X1 → r2_hidden X2 X1 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_relat_1 X2 → False) → v1_relat_1 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) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 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) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_relat_1 (k4_xboole_0 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k3_xboole_0 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v1_ordinal1 X1 → False) → r1_tarski (esk3_1 X1) X1 → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk22_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) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk22_1 X1) X1 → False) → False) → (∀X1, (v1_ordinal1 X1 → False) → (r2_hidden (esk3_1 X1) X1 → False) → False) → (∀X1, (v4_funct_1 (k1_tarski X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk26_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk25_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk11_1 X1) → False) → (∀X1, (v2_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 (k1_classes1 X1) → False) → v1_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 (k4_classes1 X1) → False) → v3_ordinal1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk25_1 X1) → False) → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_relat_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (r1_tarski (k1_classes1 esk1_0) (k4_classes1 esk2_0) → False) → (∀X1, v1_subset_1 (esk19_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (∀X1, v1_xboole_0 (k1_classes1 X1) → False) → (v3_funct_1 esk23_0 → False) → (v1_xboole_0 esk27_0 → False) → (v1_xboole_0 esk24_0 → False) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 esk14_0 → False) → (v1_xboole_0 esk10_0 → False) → (((k3_xboole_0 (k4_classes1 (k2_xboole_0 esk2_0 (k1_tarski esk2_0))) (k1_classes1 esk1_0)) = (k3_xboole_0 (k4_classes1 esk2_0) (k1_classes1 esk1_0)) → False) → False) → (∀X1 X2, (m1_subset_1 (k4_xboole_0 X1 X2) (k1_zfmisc_1 X1) → False) → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk7_1 X1) X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, ((k3_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k4_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k4_xboole_0 k1_xboole_0 X1) = k1_xboole_0 → False) → False) → (∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0 → False) → False) → (∀X1, (v1_xboole_0 (esk16_1 X1) → False) → False) → ((v4_funct_1 esk27_0 → False) → False) → ((v7_ordinal1 esk24_0 → False) → False) → ((v7_ordinal1 esk21_0 → False) → False) → ((v2_relat_1 esk20_0 → False) → False) → ((v2_relat_1 esk18_0 → False) → False) → ((v2_relat_1 esk15_0 → False) → False) → ((v2_funct_1 esk13_0 → False) → False) → ((v1_relat_1 esk23_0 → False) → False) → ((v1_relat_1 esk20_0 → False) → False) → ((v1_relat_1 esk18_0 → False) → False) → ((v1_relat_1 esk15_0 → False) → False) → ((v1_relat_1 esk13_0 → False) → False) → ((v1_relat_1 esk10_0 → False) → False) → ((v1_relat_1 esk8_0 → False) → False) → ((v2_ordinal1 esk14_0 → False) → False) → ((v1_funct_1 esk23_0 → False) → False) → ((v1_funct_1 esk20_0 → False) → False) → ((v1_funct_1 esk18_0 → False) → False) → ((v1_funct_1 esk13_0 → False) → False) → ((v1_funct_1 esk8_0 → False) → False) → ((v1_xboole_0 esk12_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v1_ordinal1 esk14_0 → False) → False) → ((v1_ordinal1 esk1_0 → False) → False) → ((v3_ordinal1 esk14_0 → False) → False) → ((v3_ordinal1 esk9_0 → False) → False) → ((v3_ordinal1 esk2_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False