Theorem. (
t46_ordinal3)
∀r2_hidden : set → set → prop, ∀k1_ordinal3 : set → set → set, ∀esk4_3 : set → set → set → set, ∀esk22_3 : set → set → set → set, ∀esk5_3 : set → set → set → set, ∀k10_xtuple_0 : set → set, ∀esk6_2 : set → set → set, ∀esk21_2 : set → set → set, ∀v7_ordinal1 : set → prop, ∀v6_ordinal1 : set → prop, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk15_0 : set, ∀esk14_0 : set, ∀esk16_0 : set, ∀esk12_0 : set, ∀esk10_0 : set, ∀o_0_0_xboole_0 : set, ∀esk11_0 : set, ∀esk9_1 : set → set, ∀esk13_0 : set, ∀esk17_0 : set, ∀v2_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀m1_subset_1 : set → set → prop, ∀k3_ordinal2 : set → set, ∀v1_xboole_0 : set → prop, ∀esk20_2 : set → set → set, ∀esk7_2 : set → set → set, ∀esk23_2 : set → set → set, ∀k4_ordinal2 : set → set, ∀k3_tarski : set → set, ∀esk24_3 : set → set → set → set, ∀k9_xtuple_0 : set → set, ∀v1_ordinal2 : set → prop, ∀v1_funct_1 : set → prop, ∀v1_relat_1 : set → prop, ∀v5_ordinal1 : set → prop, ∀k1_funct_1 : set → set → set, ∀esk8_3 : set → set → set → set, ∀k4_ordinal3 : set → set → set, ∀v4_ordinal1 : set → prop, ∀k1_xboole_0 : set, ∀v3_ordinal1 : set → prop, ∀esk18_2 : set → set → set, ∀k1_tarski : set → set, ∀k2_xboole_0 : set → set → set, ∀esk19_2 : set → set → set, ∀k10_ordinal2 : set → set → set, ∀k11_ordinal2 : set → set → set, (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (esk19_2 X1 X2) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (esk19_2 X1 X2)) X2) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (k2_xboole_0 (esk18_2 X1 X2) (k1_tarski (esk18_2 X1 X2))) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (k2_xboole_0 (esk18_2 X1 X2) (k1_tarski (esk18_2 X1 X2)))) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X3 X2 X4, ((k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 X4 X3)) = (k11_ordinal2 (k10_ordinal2 X2 X4) X3) → False) → ((k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 X1 X3)) = (k11_ordinal2 (k10_ordinal2 X2 X1) X3) → False) → (k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 k1_xboole_0 X3)) = (k11_ordinal2 (k10_ordinal2 X2 k1_xboole_0) X3) → (k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 (k2_xboole_0 (esk18_2 X2 X3) (k1_tarski (esk18_2 X2 X3))) X3)) = (k11_ordinal2 (k10_ordinal2 X2 (k2_xboole_0 (esk18_2 X2 X3) (k1_tarski (esk18_2 X2 X3)))) X3) → v3_ordinal1 X4 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 (esk19_2 X2 X3) → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → (v4_ordinal1 (esk19_2 X1 X2) → False) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (k2_xboole_0 (esk18_2 X1 X2) (k1_tarski (esk18_2 X1 X2))) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (k2_xboole_0 (esk18_2 X1 X2) (k1_tarski (esk18_2 X1 X2)))) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → (v3_ordinal1 (esk19_2 X1 X2) → False) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (k2_xboole_0 (esk18_2 X1 X2) (k1_tarski (esk18_2 X1 X2))) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (k2_xboole_0 (esk18_2 X1 X2) (k1_tarski (esk18_2 X1 X2)))) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → (esk19_2 X1 X2) = k1_xboole_0 → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (k2_xboole_0 (esk18_2 X1 X2) (k1_tarski (esk18_2 X1 X2))) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (k2_xboole_0 (esk18_2 X1 X2) (k1_tarski (esk18_2 X1 X2)))) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (esk18_2 X1 X2) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (esk18_2 X1 X2)) X2) → False) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (esk19_2 X1 X2) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (esk19_2 X1 X2)) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1 X3, (X1 = (k4_ordinal3 X2 X3) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X3) → (k1_funct_1 X1 (esk8_3 X2 X3 X1)) = (k11_ordinal2 (k1_funct_1 X3 (esk8_3 X2 X3 X1)) X2) → v3_ordinal1 X2 → v5_ordinal1 X3 → v5_ordinal1 X1 → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → v1_ordinal2 X3 → v1_ordinal2 X1 → False) → (∀X2 X1 X3, (X1 = (k1_ordinal3 X2 X3) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X3) → (k1_funct_1 X1 (esk4_3 X2 X3 X1)) = (k10_ordinal2 X2 (k1_funct_1 X3 (esk4_3 X2 X3 X1))) → v3_ordinal1 X2 → v5_ordinal1 X3 → v5_ordinal1 X1 → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → v1_funct_1 X1 → v1_ordinal2 X3 → v1_ordinal2 X1 → False) → (∀X1 X3 X2 X4, ((k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 X4 X3)) = (k11_ordinal2 (k10_ordinal2 X2 X4) X3) → False) → ((k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 X1 X3)) = (k11_ordinal2 (k10_ordinal2 X2 X1) X3) → False) → ((k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 (esk18_2 X2 X3) X3)) = (k11_ordinal2 (k10_ordinal2 X2 (esk18_2 X2 X3)) X3) → False) → (k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 k1_xboole_0 X3)) = (k11_ordinal2 (k10_ordinal2 X2 k1_xboole_0) X3) → v3_ordinal1 X4 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 (esk19_2 X2 X3) → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → (v3_ordinal1 (esk18_2 X1 X2) → False) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (esk19_2 X1 X2) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (esk19_2 X1 X2)) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (esk18_2 X1 X2) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (esk18_2 X1 X2)) X2) → False) → (v4_ordinal1 (esk19_2 X1 X2) → False) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (esk18_2 X1 X2) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (esk18_2 X1 X2)) X2) → False) → (v3_ordinal1 (esk19_2 X1 X2) → False) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 (esk18_2 X1 X2) X2)) = (k11_ordinal2 (k10_ordinal2 X1 (esk18_2 X1 X2)) X2) → False) → (esk19_2 X1 X2) = k1_xboole_0 → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X3 X2 X4, ((k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 X4 X3)) = (k11_ordinal2 (k10_ordinal2 X2 X4) X3) → False) → ((k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 X1 X3)) = (k11_ordinal2 (k10_ordinal2 X2 X1) X3) → False) → (v3_ordinal1 (esk18_2 X2 X3) → False) → (k10_ordinal2 (k11_ordinal2 X2 X3) (k11_ordinal2 k1_xboole_0 X3)) = (k11_ordinal2 (k10_ordinal2 X2 k1_xboole_0) X3) → v3_ordinal1 X4 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 (esk19_2 X2 X3) → False) → (∀X1 X3 X2, (X2 = k1_xboole_0 → False) → ((k11_ordinal2 X2 X3) = (k3_tarski (k4_ordinal2 X1)) → False) → (k9_xtuple_0 X1) = X2 → (k1_funct_1 X1 (esk24_3 X2 X3 X1)) = (k11_ordinal2 (esk24_3 X2 X3 X1) X3) → v3_ordinal1 X3 → v3_ordinal1 X2 → v5_ordinal1 X1 → v1_relat_1 X1 → v1_funct_1 X1 → v1_ordinal2 X1 → v4_ordinal1 X2 → False) → (∀X1 X3 X2, (X2 = k1_xboole_0 → False) → ((k10_ordinal2 X3 X2) = (k4_ordinal2 X1) → False) → (k9_xtuple_0 X1) = X2 → (k1_funct_1 X1 (esk22_3 X2 X3 X1)) = (k10_ordinal2 X3 (esk22_3 X2 X3 X1)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v5_ordinal1 X1 → v1_relat_1 X1 → v1_funct_1 X1 → v1_ordinal2 X1 → v4_ordinal1 X2 → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → (v3_ordinal1 (esk18_2 X1 X2) → False) → (v4_ordinal1 (esk19_2 X1 X2) → False) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → (v3_ordinal1 (esk18_2 X1 X2) → False) → (v3_ordinal1 (esk19_2 X1 X2) → False) → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 X3 X2)) = (k11_ordinal2 (k10_ordinal2 X1 X3) X2) → False) → (v3_ordinal1 (esk18_2 X1 X2) → False) → (esk19_2 X1 X2) = k1_xboole_0 → (k10_ordinal2 (k11_ordinal2 X1 X2) (k11_ordinal2 k1_xboole_0 X2)) = (k11_ordinal2 (k10_ordinal2 X1 k1_xboole_0) X2) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, (X3 = (k4_ordinal3 X1 X2) → False) → (r2_hidden (esk8_3 X1 X2 X3) (k9_xtuple_0 X2) → False) → (k9_xtuple_0 X2) = (k9_xtuple_0 X3) → v3_ordinal1 X1 → v5_ordinal1 X3 → v5_ordinal1 X2 → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_ordinal2 X3 → v1_ordinal2 X2 → False) → (∀X1 X2 X3, (X3 = (k1_ordinal3 X1 X2) → False) → (r2_hidden (esk4_3 X1 X2 X3) (k9_xtuple_0 X2) → False) → (k9_xtuple_0 X2) = (k9_xtuple_0 X3) → v3_ordinal1 X1 → v5_ordinal1 X3 → v5_ordinal1 X2 → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_ordinal2 X3 → v1_ordinal2 X2 → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → ((k11_ordinal2 X1 X2) = (k3_tarski (k4_ordinal2 X3)) → False) → (r2_hidden (esk24_3 X1 X2 X3) X1 → False) → (k9_xtuple_0 X3) = X1 → v3_ordinal1 X2 → v3_ordinal1 X1 → v5_ordinal1 X3 → v1_relat_1 X3 → v1_funct_1 X3 → v1_ordinal2 X3 → v4_ordinal1 X1 → False) → (∀X1 X2 X3, (X3 = (k4_ordinal3 X1 X2) → False) → (v3_ordinal1 (esk8_3 X1 X2 X3) → False) → (k9_xtuple_0 X2) = (k9_xtuple_0 X3) → v3_ordinal1 X1 → v5_ordinal1 X3 → v5_ordinal1 X2 → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_ordinal2 X3 → v1_ordinal2 X2 → False) → (∀X1 X2 X3, (X3 = (k1_ordinal3 X1 X2) → False) → (v3_ordinal1 (esk4_3 X1 X2 X3) → False) → (k9_xtuple_0 X2) = (k9_xtuple_0 X3) → v3_ordinal1 X1 → v5_ordinal1 X3 → v5_ordinal1 X2 → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_ordinal2 X3 → v1_ordinal2 X2 → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → ((k10_ordinal2 X2 X1) = (k4_ordinal2 X3) → False) → (r2_hidden (esk22_3 X1 X2 X3) X1 → False) → (k9_xtuple_0 X3) = X1 → v3_ordinal1 X2 → v3_ordinal1 X1 → v5_ordinal1 X3 → v1_relat_1 X3 → v1_funct_1 X3 → v1_ordinal2 X3 → v4_ordinal1 X1 → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → ((k11_ordinal2 X1 X2) = (k3_tarski (k4_ordinal2 X3)) → False) → (v3_ordinal1 (esk24_3 X1 X2 X3) → False) → (k9_xtuple_0 X3) = X1 → v3_ordinal1 X2 → v3_ordinal1 X1 → v5_ordinal1 X3 → v1_relat_1 X3 → v1_funct_1 X3 → v1_ordinal2 X3 → v4_ordinal1 X1 → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → ((k10_ordinal2 X2 X1) = (k4_ordinal2 X3) → False) → (v3_ordinal1 (esk22_3 X1 X2 X3) → False) → (k9_xtuple_0 X3) = X1 → v3_ordinal1 X2 → v3_ordinal1 X1 → v5_ordinal1 X3 → v1_relat_1 X3 → v1_funct_1 X3 → v1_ordinal2 X3 → v4_ordinal1 X1 → False) → (∀X1 X4 X2 X3, ((k1_funct_1 X3 X1) = (k11_ordinal2 (k1_funct_1 X2 X1) X4) → False) → X3 = (k4_ordinal3 X4 X2) → v3_ordinal1 X4 → v3_ordinal1 X1 → v5_ordinal1 X3 → v5_ordinal1 X2 → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_ordinal2 X3 → v1_ordinal2 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X1 X4 X2 X3, ((k1_funct_1 X3 X1) = (k10_ordinal2 X4 (k1_funct_1 X2 X1)) → False) → X3 = (k1_ordinal3 X4 X2) → v3_ordinal1 X4 → v3_ordinal1 X1 → v5_ordinal1 X3 → v5_ordinal1 X2 → v1_relat_1 X3 → v1_relat_1 X2 → v1_funct_1 X3 → v1_funct_1 X2 → v1_ordinal2 X3 → v1_ordinal2 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X3 X2 X1, (r2_hidden (esk5_3 X1 X2 X3) (k9_xtuple_0 X1) → False) → X2 = (k10_xtuple_0 X1) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X3 X2 → False) → (∀X1 X2, (X1 = X2 → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → (k1_funct_1 X1 (esk23_2 X1 X2)) = (k1_funct_1 X2 (esk23_2 X1 X2)) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X3 X2, ((k1_funct_1 X2 (esk5_3 X2 X3 X1)) = X1 → False) → X3 = (k10_xtuple_0 X2) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 X3 → False) → (∀X2 X1, ((k2_xboole_0 (k10_ordinal2 X1 X2) (k1_tarski (k10_ordinal2 X1 X2))) = (k10_ordinal2 X1 (k2_xboole_0 X2 (k1_tarski X2))) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (esk6_2 X1 X2) = (k1_funct_1 X1 X3) → v1_relat_1 X1 → v1_funct_1 X1 → r2_hidden X3 (k9_xtuple_0 X1) → r2_hidden (esk6_2 X1 X2) X2 → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → ((k1_funct_1 X1 (esk7_2 X1 X2)) = (esk6_2 X1 X2) → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1 X2, (X2 = k1_xboole_0 → False) → ((k9_xtuple_0 X1) = k1_xboole_0 → False) → ((k4_ordinal2 (k4_ordinal3 X2 X1)) = (k11_ordinal2 (k4_ordinal2 X1) X2) → False) → v3_ordinal1 X2 → v5_ordinal1 X1 → v1_relat_1 X1 → v1_funct_1 X1 → v1_ordinal2 X1 → v4_ordinal1 (k4_ordinal2 X1) → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → (r2_hidden (esk7_2 X1 X2) (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, ((k11_ordinal2 (k2_xboole_0 X1 (k1_tarski X1)) X2) = (k10_ordinal2 (k11_ordinal2 X1 X2) X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, ((k10_ordinal2 (k10_ordinal2 X1 X2) X3) = (k10_ordinal2 X1 (k10_ordinal2 X2 X3)) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1 X3, ((k1_funct_1 (esk21_2 X3 X2) X1) = (k10_ordinal2 X3 X1) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 X2 → False) → (∀X2 X1 X3, ((k1_funct_1 (esk20_2 X3 X2) X1) = (k11_ordinal2 X1 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 X2 → False) → (∀X3 X1 X2, ((k9_xtuple_0 X1) = (k9_xtuple_0 X2) → False) → X1 = (k4_ordinal3 X3 X2) → v3_ordinal1 X3 → v5_ordinal1 X2 → v5_ordinal1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_ordinal2 X2 → v1_ordinal2 X1 → False) → (∀X3 X1 X2, ((k9_xtuple_0 X1) = (k9_xtuple_0 X2) → False) → X1 = (k1_ordinal3 X3 X2) → v3_ordinal1 X3 → v5_ordinal1 X2 → v5_ordinal1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v1_ordinal2 X2 → v1_ordinal2 X1 → False) → (∀X2 X1 X3 X4, (r2_hidden X3 X4 → False) → X4 = (k10_xtuple_0 X2) → X3 = (k1_funct_1 X2 X1) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X2 X1, ((k9_xtuple_0 X1) = k1_xboole_0 → False) → ((k4_ordinal2 (k1_ordinal3 X2 X1)) = (k10_ordinal2 X2 (k4_ordinal2 X1)) → False) → v3_ordinal1 X2 → v5_ordinal1 X1 → v1_relat_1 X1 → v1_funct_1 X1 → v1_ordinal2 X1 → False) → (∀X1 X2, (X1 = X2 → False) → (r2_hidden (esk23_2 X1 X2) (k9_xtuple_0 X1) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1, v3_ordinal1 X1 → v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (∀X1 X2, (v1_ordinal2 (k4_ordinal3 X1 X2) → False) → v3_ordinal1 X1 → v5_ordinal1 X2 → v1_relat_1 X2 → v1_funct_1 X2 → v1_ordinal2 X2 → False) → (∀X1 X2, (v1_ordinal2 (k1_ordinal3 X1 X2) → False) → v3_ordinal1 X1 → v5_ordinal1 X2 → v1_relat_1 X2 → v1_funct_1 X2 → v1_ordinal2 X2 → False) → (∀X1 X2, (v1_funct_1 (k4_ordinal3 X1 X2) → False) → v3_ordinal1 X1 → v5_ordinal1 X2 → v1_relat_1 X2 → v1_funct_1 X2 → v1_ordinal2 X2 → False) → (∀X1 X2, (v1_funct_1 (k1_ordinal3 X1 X2) → False) → v3_ordinal1 X1 → v5_ordinal1 X2 → v1_relat_1 X2 → v1_funct_1 X2 → v1_ordinal2 X2 → False) → (∀X1 X2, (v1_relat_1 (k4_ordinal3 X1 X2) → False) → v3_ordinal1 X1 → v5_ordinal1 X2 → v1_relat_1 X2 → v1_funct_1 X2 → v1_ordinal2 X2 → False) → (∀X1 X2, (v1_relat_1 (k1_ordinal3 X1 X2) → False) → v3_ordinal1 X1 → v5_ordinal1 X2 → v1_relat_1 X2 → v1_funct_1 X2 → v1_ordinal2 X2 → False) → (∀X1 X2, (v5_ordinal1 (k4_ordinal3 X1 X2) → False) → v3_ordinal1 X1 → v5_ordinal1 X2 → v1_relat_1 X2 → v1_funct_1 X2 → v1_ordinal2 X2 → False) → (∀X1 X2, (v5_ordinal1 (k1_ordinal3 X1 X2) → False) → v3_ordinal1 X1 → v5_ordinal1 X2 → v1_relat_1 X2 → v1_funct_1 X2 → v1_ordinal2 X2 → False) → (∀X2 X1, (v3_ordinal1 (k1_funct_1 X1 X2) → False) → v3_ordinal1 X2 → v5_ordinal1 X1 → v1_relat_1 X1 → v1_funct_1 X1 → v1_ordinal2 X1 → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → ((k3_tarski (k10_ordinal2 X2 X1)) = (k10_ordinal2 X2 (k3_tarski X1)) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1, (v7_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → v3_ordinal1 X1 → v7_ordinal1 X1 → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → (v4_ordinal1 (k10_ordinal2 X2 X1) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 X1 → 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, (v4_ordinal1 (k11_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 X1 → False) → (∀X2 X1, (r2_hidden X1 (k3_ordinal2 X2) → False) → v3_ordinal1 X1 → r2_hidden X1 X2 → False) → (∀X1, (v3_ordinal1 (k2_xboole_0 X1 (k1_tarski X1)) → False) → v3_ordinal1 X1 → False) → (∀X2 X1, ((k9_xtuple_0 (esk21_2 X1 X2)) = X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, ((k9_xtuple_0 (esk20_2 X1 X2)) = X2 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_ordinal2 (esk21_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v1_ordinal2 (esk20_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v1_funct_1 (esk21_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v1_funct_1 (esk20_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v1_relat_1 (esk21_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v1_relat_1 (esk20_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v7_ordinal1 (k10_ordinal2 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v5_ordinal1 (esk21_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v5_ordinal1 (esk20_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v3_ordinal1 (k2_xboole_0 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v3_ordinal1 (k11_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v3_ordinal1 (k10_ordinal2 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v3_ordinal1 (k10_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 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, ((k3_ordinal2 (k10_xtuple_0 X1)) = (k4_ordinal2 X1) → False) → v5_ordinal1 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v3_ordinal1 (k4_ordinal2 X1) → False) → v5_ordinal1 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v3_ordinal1 (k9_xtuple_0 X1) → False) → v5_ordinal1 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (X1 = k1_xboole_0 → False) → (r2_hidden k1_xboole_0 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, ((k10_ordinal2 X1 k1_xboole_0) = X1 → False) → v3_ordinal1 X1 → False) → (∀X1, ((k11_ordinal2 k1_xboole_0 X1) = k1_xboole_0 → False) → v3_ordinal1 X1 → False) → (∀X1, ((k11_ordinal2 X1 k1_xboole_0) = k1_xboole_0 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 (k3_tarski X1) → False) → v3_ordinal1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v4_ordinal1 X1 → False) → (k3_tarski X1) = X1 → False) → (∀X1, ((k3_tarski X1) = X1 → False) → v4_ordinal1 X1 → False) → (∀X1, (v6_ordinal1 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, (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, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k10_ordinal2 (k11_ordinal2 esk1_0 esk3_0) (k11_ordinal2 esk2_0 esk3_0)) = (k11_ordinal2 (k10_ordinal2 esk1_0 esk2_0) esk3_0) → False) → (∀X1, v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 esk15_0 → False) → (v1_xboole_0 esk13_0 → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk9_1 X1) X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, (v3_ordinal1 (k3_ordinal2 X1) → False) → False) → ((v4_ordinal1 esk11_0 → False) → False) → ((v1_ordinal2 esk14_0 → False) → False) → ((v1_funct_1 esk14_0 → False) → False) → ((v1_relat_1 esk14_0 → False) → False) → ((v7_ordinal1 esk17_0 → False) → False) → ((v7_ordinal1 esk16_0 → False) → False) → ((v5_ordinal1 esk14_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) → ((v2_ordinal1 esk13_0 → False) → False) → ((v2_ordinal1 esk11_0 → False) → False) → ((v1_ordinal1 esk13_0 → False) → False) → ((v1_ordinal1 esk11_0 → False) → False) → ((v3_ordinal1 esk13_0 → False) → False) → ((v3_ordinal1 esk11_0 → False) → False) → ((v3_ordinal1 esk10_0 → False) → False) → ((v3_ordinal1 esk3_0 → False) → False) → ((v3_ordinal1 esk2_0 → False) → False) → ((v3_ordinal1 esk1_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False