Theorem. (
t63_classes1)
∀k1_xboole_0 : set, ∀k9_xtuple_0 : set → set, ∀v1_funct_1 : set → prop, ∀v1_relat_1 : set → prop, ∀v5_ordinal1 : set → prop, ∀v4_ordinal1 : set → prop, ∀k1_funct_1 : set → set → set, ∀esk6_2 : set → set → set, ∀k3_tarski : set → set, ∀k10_xtuple_0 : set → set, ∀k9_setfam_1 : set → set, ∀esk2_2 : set → set → set, ∀k6_classes1 : set → set, ∀esk4_2 : set → set → set, ∀v1_xboole_0 : set → prop, ∀m1_subset_1 : set → set → prop, ∀v2_relat_1 : set → prop, ∀esk27_1 : set → set, ∀esk3_2 : set → set → set, ∀v1_subset_1 : set → set → prop, ∀v3_relat_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v3_funct_1 : set → prop, ∀v1_setfam_1 : set → prop, ∀esk24_1 : set → set, ∀esk10_1 : set → set, ∀v2_funct_1 : set → prop, ∀esk1_0 : set, ∀esk22_0 : set, ∀esk23_0 : set, ∀esk16_0 : set, ∀esk9_0 : set, ∀esk15_1 : set → set, ∀esk14_0 : set, ∀esk7_0 : set, ∀esk8_0 : set, ∀esk11_0 : set, ∀o_0_0_xboole_0 : set, ∀esk12_0 : set, ∀esk17_0 : set, ∀esk20_0 : set, ∀esk5_1 : set → set, ∀esk13_0 : set, ∀esk19_0 : set, ∀esk26_0 : set, ∀esk18_1 : set → set, ∀v2_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀esk21_1 : set → set, ∀esk25_1 : set → set, ∀v6_ordinal1 : set → prop, ∀v4_funct_1 : set → prop, ∀esk28_1 : set → set, ∀v7_ordinal1 : set → prop, ∀r1_ordinal1 : set → set → prop, ∀esk29_2 : set → set → set, ∀v3_ordinal1 : set → prop, ∀r2_hidden : set → set → prop, ∀k2_xboole_0 : set → set → set, ∀k1_tarski : set → set, ∀r1_tarski : set → set → prop, ∀k4_classes1 : set → set, (∀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, (X2 = k1_xboole_0 → False) → ((k4_classes1 X2) = (k3_tarski (k10_xtuple_0 X1)) → False) → (k9_xtuple_0 X1) = X2 → (k1_funct_1 X1 (esk6_2 X2 X1)) = (k4_classes1 (esk6_2 X2 X1)) → v1_funct_1 X1 → v3_ordinal1 X2 → v1_relat_1 X1 → v5_ordinal1 X1 → v4_ordinal1 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 X2, (X2 = (k9_setfam_1 X1) → False) → r2_hidden (esk2_2 X1 X2) X2 → r1_tarski (esk2_2 X1 X2) X1 → False) → (∀X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden X1 (k4_classes1 (esk29_2 X2 X1)) → False) → v3_ordinal1 X2 → v4_ordinal1 X2 → r2_hidden X1 (k4_classes1 X2) → False) → (∀X1 X2, (X2 = (k6_classes1 X1) → False) → (r1_tarski X1 (k4_classes1 (esk4_2 X1 X2)) → False) → v3_ordinal1 X2 → r1_tarski X1 (k4_classes1 X2) → False) → (∀X1 X2, (r2_hidden X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) X2 → False) → (∀X1 X2, (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 (k2_xboole_0 X2 (k1_tarski X2)) → False) → (∀X2 X1, (X1 = (k6_classes1 X2) → False) → v3_ordinal1 X1 → r1_tarski X2 (k4_classes1 X1) → r1_ordinal1 X1 (esk4_2 X2 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v2_relat_1 X1 → v1_xboole_0 (k1_funct_1 X1 X2) → m1_subset_1 X2 (k9_xtuple_0 X1) → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → ((k4_classes1 X1) = (k3_tarski (k10_xtuple_0 X2)) → False) → (r2_hidden (esk6_2 X1 X2) X1 → False) → (k9_xtuple_0 X2) = X1 → v1_funct_1 X2 → v3_ordinal1 X1 → v1_relat_1 X2 → v5_ordinal1 X2 → v4_ordinal1 X1 → False) → (∀X3 X2 X1, (r1_ordinal1 (esk27_1 X2) X1 → False) → v3_ordinal1 X3 → v3_ordinal1 X1 → r2_hidden X2 (k4_classes1 X3) → r2_hidden X2 (k4_classes1 X1) → False) → (∀X3 X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden X3 (k4_classes1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 X2 → r2_hidden X1 X2 → r2_hidden X3 (k4_classes1 X1) → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → ((k4_classes1 X1) = (k3_tarski (k10_xtuple_0 X2)) → False) → (v3_ordinal1 (esk6_2 X1 X2) → False) → (k9_xtuple_0 X2) = X1 → v1_funct_1 X2 → v3_ordinal1 X1 → v1_relat_1 X2 → v5_ordinal1 X2 → v4_ordinal1 X1 → False) → (∀X1 X2, (r1_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (r2_hidden X1 (k2_xboole_0 X2 (k1_tarski X2)) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_ordinal1 X1 X2 → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → (r2_hidden (esk29_2 X1 X2) X1 → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → r2_hidden X2 (k4_classes1 X1) → False) → (∀X1 X2, (X2 = (k9_setfam_1 X1) → False) → (r2_hidden (esk2_2 X1 X2) X2 → False) → (r1_tarski (esk2_2 X1 X2) X1 → False) → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → (v3_ordinal1 (esk29_2 X1 X2) → False) → v3_ordinal1 X1 → v4_ordinal1 X1 → r2_hidden X2 (k4_classes1 X1) → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk3_2 X1 X2) X2 → False) → (∀X1 X2, (X2 = (k6_classes1 X1) → False) → (v3_ordinal1 (esk4_2 X1 X2) → False) → v3_ordinal1 X2 → r1_tarski X1 (k4_classes1 X2) → False) → (∀X1, v3_ordinal1 X1 → v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (∀X2 X1, (r2_hidden X1 (k4_classes1 (esk27_1 X1)) → False) → v3_ordinal1 X2 → r2_hidden X1 (k4_classes1 X2) → False) → (∀X2 X3 X1, (r1_ordinal1 X3 X1 → False) → X3 = (k6_classes1 X2) → v3_ordinal1 X3 → v3_ordinal1 X1 → r1_tarski X2 (k4_classes1 X1) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k9_setfam_1 X3) → False) → (∀X2 X1, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k9_setfam_1 X3) → False) → (∀X2 X1 X3, (r1_tarski X1 X3 → False) → r1_tarski X2 X3 → r1_tarski X1 X2 → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X1, ((k4_classes1 (k2_xboole_0 X1 (k1_tarski X1))) = (k9_setfam_1 (k4_classes1 X1)) → False) → v3_ordinal1 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1, (v7_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → v3_ordinal1 X1 → v7_ordinal1 X1 → False) → (∀X1 X2, X2 = (k2_xboole_0 X1 (k1_tarski X1)) → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 X2 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk3_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) → (∀X2 X1, (v1_xboole_0 (k1_funct_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_relat_1 X1 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_ordinal1 X1 X2 → False) → (∀X1 X2, (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_tarski X1 X2 → False) → (∀X1, ((k2_xboole_0 (esk28_1 X1) (k1_tarski (esk28_1 X1))) = X1 → False) → (v4_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X2 X1, (v3_ordinal1 (esk27_1 X1) → False) → v3_ordinal1 X2 → r2_hidden X1 (k4_classes1 X2) → 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 (k9_setfam_1 X2) → False) → (∀X2 X1 X3, (r1_tarski X1 X3 → False) → X2 = (k9_setfam_1 X3) → r2_hidden X1 X2 → False) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → X3 = (k9_setfam_1 X2) → r1_tarski X1 X2 → False) → (∀X1 X2, r2_hidden X1 X2 → r1_tarski X2 X1 → 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) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (v1_relat_1 X2 → False) → v1_relat_1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X2 X1, (r1_ordinal1 X2 X1 → False) → (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k9_setfam_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, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (r1_tarski X1 (k4_classes1 X2) → False) → X2 = (k6_classes1 X1) → v3_ordinal1 X2 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 (k9_xtuple_0 X1) → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 (k10_xtuple_0 X1) → False) → (∀X2 X1, (v1_relat_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) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1, (v1_setfam_1 (k10_xtuple_0 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v2_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v3_funct_1 X1 → False) → (∀X1, (v3_ordinal1 (k9_xtuple_0 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v5_ordinal1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk25_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk24_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk21_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk10_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_ordinal1 X1 X1 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 (k9_xtuple_0 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 (k10_xtuple_0 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_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 (esk21_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 (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v4_ordinal1 X1 → False) → (v3_ordinal1 (esk28_1 X1) → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk25_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk24_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk10_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 (k4_classes1 X1) → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 (k3_tarski X1) → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_xboole_0 (k9_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 (k10_xtuple_0 X1) → False) → v1_xboole_0 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 (esk24_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_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, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v6_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) → ((k2_xboole_0 (k6_classes1 esk1_0) (k1_tarski (k6_classes1 esk1_0))) = (k6_classes1 (k9_setfam_1 esk1_0)) → False) → (∀X1, v1_subset_1 (esk18_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (∀X1, v1_xboole_0 (k9_setfam_1 X1) → False) → (v3_funct_1 esk22_0 → False) → (v1_xboole_0 esk26_0 → False) → (v1_xboole_0 esk23_0 → False) → (v1_xboole_0 esk19_0 → False) → (v1_xboole_0 esk16_0 → False) → (v1_xboole_0 esk13_0 → False) → (v1_xboole_0 esk9_0 → False) → (∀X1, (m1_subset_1 (k9_setfam_1 X1) (k9_setfam_1 (k9_setfam_1 X1)) → False) → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk18_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk15_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk5_1 X1) X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, (v3_ordinal1 (k6_classes1 X1) → False) → False) → (∀X1, (v1_xboole_0 (esk15_1 X1) → False) → False) → ((v4_funct_1 esk26_0 → False) → False) → ((v7_ordinal1 esk23_0 → False) → False) → ((v7_ordinal1 esk20_0 → False) → False) → ((v2_relat_1 esk19_0 → False) → False) → ((v2_relat_1 esk17_0 → False) → False) → ((v2_relat_1 esk14_0 → False) → False) → ((v2_funct_1 esk12_0 → False) → False) → ((v1_relat_1 esk22_0 → False) → False) → ((v1_relat_1 esk19_0 → False) → False) → ((v1_relat_1 esk17_0 → False) → False) → ((v1_relat_1 esk14_0 → False) → False) → ((v1_relat_1 esk12_0 → False) → False) → ((v1_relat_1 esk9_0 → False) → False) → ((v1_relat_1 esk7_0 → False) → False) → ((v2_ordinal1 esk13_0 → False) → False) → ((v1_ordinal1 esk13_0 → False) → False) → ((v3_ordinal1 esk13_0 → False) → False) → ((v3_ordinal1 esk8_0 → False) → False) → ((v1_funct_1 esk22_0 → False) → False) → ((v1_funct_1 esk19_0 → False) → False) → ((v1_funct_1 esk17_0 → False) → False) → ((v1_funct_1 esk12_0 → False) → False) → ((v1_funct_1 esk7_0 → False) → False) → ((v1_xboole_0 esk11_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → (((k4_classes1 k1_xboole_0) = k1_xboole_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False