Theorem. (
t31_ordinal4)
∀r2_hidden : set → set → prop, ∀esk38_3 : set → set → set → set, ∀k8_ordinal2 : set → set, ∀esk31_3 : set → set → set → set, ∀k3_relat_1 : set → set → set, ∀esk4_3 : set → set → set → set, ∀esk34_2 : set → set → set, ∀esk9_2 : set → set → set, ∀esk6_2 : set → set → set, ∀r1_tarski : set → set → prop, ∀esk7_2 : set → set → set, ∀v2_funct_1 : set → prop, ∀v1_ordinal1 : set → prop, ∀v3_card_1 : set → set → prop, ∀v1_card_1 : set → prop, ∀r1_ordinal1 : set → set → prop, ∀v4_funct_1 : set → prop, ∀v3_funct_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v1_finset_1 : set → prop, ∀esk21_1 : set → set, ∀esk26_1 : set → set, ∀np__1 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk24_0 : set, ∀esk25_0 : set, ∀esk17_0 : set, ∀k1_numbers : set, ∀k5_numbers : set, ∀esk13_0 : set, ∀esk22_0 : set, ∀esk14_0 : set, ∀esk12_0 : set, ∀o_0_0_xboole_0 : set, ∀esk10_0 : set, ∀esk11_0 : set, ∀esk16_0 : set, ∀esk15_0 : set, ∀esk18_0 : set, ∀v2_xxreal_0 : set → prop, ∀esk8_1 : set → set, ∀esk19_0 : set, ∀esk28_0 : set, ∀esk20_0 : set, ∀v2_ordinal1 : set → prop, ∀esk23_1 : set → set, ∀esk27_1 : set → set, ∀v6_ordinal1 : set → prop, ∀v7_ordinal1 : set → prop, ∀esk32_2 : set → set → set, ∀k10_ordinal2 : set → set → set, ∀m2_subset_1 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀esk5_2 : set → set → set, ∀esk36_2 : set → set → set, ∀v2_ordinal2 : set → prop, ∀k10_xtuple_0 : set → set, ∀k3_ordinal2 : set → set, ∀esk33_3 : set → set → set → set, ∀esk37_3 : set → set → set → set, ∀r1_ordinal2 : set → set → prop, ∀esk35_3 : set → set → set → set, ∀k1_funct_1 : set → set → set, ∀v1_relat_1 : set → prop, ∀v1_ordinal2 : set → prop, ∀v5_ordinal1 : set → prop, ∀v1_funct_1 : set → prop, ∀k9_xtuple_0 : set → set, ∀v4_ordinal1 : set → prop, ∀k1_xboole_0 : set, ∀v3_ordinal1 : set → prop, ∀k2_xboole_0 : set → set → set, ∀k1_tarski : set → set, ∀esk29_2 : set → set → set, ∀esk30_2 : set → set → set, ∀k11_ordinal2 : set → set → set, ∀k12_ordinal2 : set → set → set, (∀X3 X2 X1, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → (k12_ordinal2 (k12_ordinal2 X1 X2) (esk30_2 X1 X2)) = (k12_ordinal2 X1 (k11_ordinal2 (esk30_2 X1 X2) X2)) → (k12_ordinal2 (k12_ordinal2 X1 X2) (k2_xboole_0 (esk29_2 X1 X2) (k1_tarski (esk29_2 X1 X2)))) = (k12_ordinal2 X1 (k11_ordinal2 (k2_xboole_0 (esk29_2 X1 X2) (k1_tarski (esk29_2 X1 X2))) X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3 X4, ((k12_ordinal2 (k12_ordinal2 X2 X3) X4) = (k12_ordinal2 X2 (k11_ordinal2 X4 X3)) → False) → ((k12_ordinal2 (k12_ordinal2 X2 X3) X1) = (k12_ordinal2 X2 (k11_ordinal2 X1 X3)) → False) → (k12_ordinal2 (k12_ordinal2 X2 X3) k1_xboole_0) = (k12_ordinal2 X2 (k11_ordinal2 k1_xboole_0 X3)) → (k12_ordinal2 (k12_ordinal2 X2 X3) (k2_xboole_0 (esk29_2 X2 X3) (k1_tarski (esk29_2 X2 X3)))) = (k12_ordinal2 X2 (k11_ordinal2 (k2_xboole_0 (esk29_2 X2 X3) (k1_tarski (esk29_2 X2 X3))) X3)) → v3_ordinal1 X4 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 (esk30_2 X2 X3) → False) → (∀X3 X2 X1, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → (v4_ordinal1 (esk30_2 X1 X2) → False) → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → (k12_ordinal2 (k12_ordinal2 X1 X2) (k2_xboole_0 (esk29_2 X1 X2) (k1_tarski (esk29_2 X1 X2)))) = (k12_ordinal2 X1 (k11_ordinal2 (k2_xboole_0 (esk29_2 X1 X2) (k1_tarski (esk29_2 X1 X2))) X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → (v3_ordinal1 (esk30_2 X1 X2) → False) → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → (k12_ordinal2 (k12_ordinal2 X1 X2) (k2_xboole_0 (esk29_2 X1 X2) (k1_tarski (esk29_2 X1 X2)))) = (k12_ordinal2 X1 (k11_ordinal2 (k2_xboole_0 (esk29_2 X1 X2) (k1_tarski (esk29_2 X1 X2))) X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → (esk30_2 X1 X2) = k1_xboole_0 → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → (k12_ordinal2 (k12_ordinal2 X1 X2) (k2_xboole_0 (esk29_2 X1 X2) (k1_tarski (esk29_2 X1 X2)))) = (k12_ordinal2 X1 (k11_ordinal2 (k2_xboole_0 (esk29_2 X1 X2) (k1_tarski (esk29_2 X1 X2))) X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X1 X2, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → ((k12_ordinal2 (k12_ordinal2 X1 X2) (esk29_2 X1 X2)) = (k12_ordinal2 X1 (k11_ordinal2 (esk29_2 X1 X2) X2)) → False) → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → (k12_ordinal2 (k12_ordinal2 X1 X2) (esk30_2 X1 X2)) = (k12_ordinal2 X1 (k11_ordinal2 (esk30_2 X1 X2) X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3 X4, ((k12_ordinal2 (k12_ordinal2 X2 X3) X4) = (k12_ordinal2 X2 (k11_ordinal2 X4 X3)) → False) → ((k12_ordinal2 (k12_ordinal2 X2 X3) X1) = (k12_ordinal2 X2 (k11_ordinal2 X1 X3)) → False) → ((k12_ordinal2 (k12_ordinal2 X2 X3) (esk29_2 X2 X3)) = (k12_ordinal2 X2 (k11_ordinal2 (esk29_2 X2 X3) X3)) → False) → (k12_ordinal2 (k12_ordinal2 X2 X3) k1_xboole_0) = (k12_ordinal2 X2 (k11_ordinal2 k1_xboole_0 X3)) → v3_ordinal1 X4 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 (esk30_2 X2 X3) → False) → (∀X3 X2 X1, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → (v3_ordinal1 (esk29_2 X1 X2) → False) → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → (k12_ordinal2 (k12_ordinal2 X1 X2) (esk30_2 X1 X2)) = (k12_ordinal2 X1 (k11_ordinal2 (esk30_2 X1 X2) X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X3 X2, (X2 = k1_xboole_0 → False) → (r1_ordinal2 (k12_ordinal2 X3 X2) X1 → False) → (k9_xtuple_0 X1) = X2 → (k1_funct_1 X1 (esk35_3 X2 X3 X1)) = (k12_ordinal2 X3 (esk35_3 X2 X3 X1)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v1_funct_1 X1 → v1_relat_1 X1 → v5_ordinal1 X1 → v1_ordinal2 X1 → v4_ordinal1 X2 → False) → (∀X1 X3 X2, (X2 = k1_xboole_0 → False) → ((k12_ordinal2 X3 X2) = (k8_ordinal2 X1) → False) → (k9_xtuple_0 X1) = X2 → (k1_funct_1 X1 (esk38_3 X2 X3 X1)) = (k12_ordinal2 X3 (esk38_3 X2 X3 X1)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v1_funct_1 X1 → v1_relat_1 X1 → v5_ordinal1 X1 → v1_ordinal2 X1 → v4_ordinal1 X2 → False) → (∀X3 X1 X2, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → ((k12_ordinal2 (k12_ordinal2 X1 X2) (esk29_2 X1 X2)) = (k12_ordinal2 X1 (k11_ordinal2 (esk29_2 X1 X2) X2)) → False) → (v4_ordinal1 (esk30_2 X1 X2) → False) → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X1 X2, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → ((k12_ordinal2 (k12_ordinal2 X1 X2) (esk29_2 X1 X2)) = (k12_ordinal2 X1 (k11_ordinal2 (esk29_2 X1 X2) X2)) → False) → (v3_ordinal1 (esk30_2 X1 X2) → False) → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3 X4, ((k12_ordinal2 (k12_ordinal2 X2 X3) X4) = (k12_ordinal2 X2 (k11_ordinal2 X4 X3)) → False) → ((k12_ordinal2 (k12_ordinal2 X2 X3) X1) = (k12_ordinal2 X2 (k11_ordinal2 X1 X3)) → False) → (v3_ordinal1 (esk29_2 X2 X3) → False) → (k12_ordinal2 (k12_ordinal2 X2 X3) k1_xboole_0) = (k12_ordinal2 X2 (k11_ordinal2 k1_xboole_0 X3)) → v3_ordinal1 X4 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 (esk30_2 X2 X3) → False) → (∀X3 X1 X2, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → ((k12_ordinal2 (k12_ordinal2 X1 X2) (esk29_2 X1 X2)) = (k12_ordinal2 X1 (k11_ordinal2 (esk29_2 X1 X2) X2)) → False) → (esk30_2 X1 X2) = k1_xboole_0 → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1 X3, (r2_hidden X1 (k11_ordinal2 (esk37_3 X1 X2 X3) X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 X2 → r2_hidden X1 (k11_ordinal2 X2 X3) → False) → (∀X3 X2 X1, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → (v3_ordinal1 (esk29_2 X1 X2) → False) → (v4_ordinal1 (esk30_2 X1 X2) → False) → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → (v3_ordinal1 (esk29_2 X1 X2) → False) → (v3_ordinal1 (esk30_2 X1 X2) → False) → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X2 X1, ((k12_ordinal2 (k12_ordinal2 X1 X2) X3) = (k12_ordinal2 X1 (k11_ordinal2 X3 X2)) → False) → (v3_ordinal1 (esk29_2 X1 X2) → False) → (esk30_2 X1 X2) = k1_xboole_0 → (k12_ordinal2 (k12_ordinal2 X1 X2) k1_xboole_0) = (k12_ordinal2 X1 (k11_ordinal2 k1_xboole_0 X2)) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X3 X1 X2 X4, ((k1_funct_1 (esk33_3 X4 X3 X2) X1) = (k12_ordinal2 X4 X1) → False) → v3_ordinal1 X4 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 (k11_ordinal2 X2 X3) → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → (r1_ordinal2 (k12_ordinal2 X2 X1) X3 → False) → (r2_hidden (esk35_3 X1 X2 X3) X1 → False) → (k9_xtuple_0 X3) = X1 → v3_ordinal1 X2 → v3_ordinal1 X1 → v1_funct_1 X3 → v1_relat_1 X3 → v5_ordinal1 X3 → v1_ordinal2 X3 → v4_ordinal1 X1 → False) → (∀X2 X1 X3, (r2_hidden (esk37_3 X1 X2 X3) X2 → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 X2 → r2_hidden X1 (k11_ordinal2 X2 X3) → False) → (∀X3 X1 X2 X4, ((k1_funct_1 (esk31_3 X3 X4 X2) X1) = (k12_ordinal2 (k12_ordinal2 X3 X4) X1) → False) → v3_ordinal1 X4 → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X1 X2 → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → (v3_ordinal1 (esk35_3 X1 X2 X3) → False) → (r1_ordinal2 (k12_ordinal2 X2 X1) X3 → False) → (k9_xtuple_0 X3) = X1 → v3_ordinal1 X2 → v3_ordinal1 X1 → v1_funct_1 X3 → v1_relat_1 X3 → v5_ordinal1 X3 → v1_ordinal2 X3 → v4_ordinal1 X1 → False) → (∀X2 X1 X3, (r2_hidden X1 (k9_xtuple_0 (k3_relat_1 X2 X3)) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_relat_1 X3 → v1_relat_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → r2_hidden (k1_funct_1 X2 X1) (k9_xtuple_0 X3) → False) → (∀X2 X1 X3, (v3_ordinal1 (esk37_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 X2 → r2_hidden X1 (k11_ordinal2 X2 X3) → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → ((k12_ordinal2 X2 X1) = (k8_ordinal2 X3) → False) → (r2_hidden (esk38_3 X1 X2 X3) X1 → False) → (k9_xtuple_0 X3) = X1 → v3_ordinal1 X2 → v3_ordinal1 X1 → v1_funct_1 X3 → v1_relat_1 X3 → v5_ordinal1 X3 → v1_ordinal2 X3 → v4_ordinal1 X1 → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → ((k12_ordinal2 X2 X1) = (k8_ordinal2 X3) → False) → (v3_ordinal1 (esk38_3 X1 X2 X3) → False) → (k9_xtuple_0 X3) = X1 → v3_ordinal1 X2 → v3_ordinal1 X1 → v1_funct_1 X3 → v1_relat_1 X3 → v5_ordinal1 X3 → v1_ordinal2 X3 → v4_ordinal1 X1 → False) → (∀X1 X2 X3, (r2_hidden (k1_funct_1 X1 X2) (k9_xtuple_0 X3) → False) → v1_funct_1 X3 → v1_funct_1 X1 → v1_relat_1 X3 → v1_relat_1 X1 → r2_hidden X2 (k9_xtuple_0 (k3_relat_1 X1 X3)) → False) → (∀X4 X3 X2 X1, (r1_ordinal2 X2 X1 → False) → X1 = (k3_relat_1 X3 X4) → (k3_ordinal2 (k10_xtuple_0 X3)) = (k9_xtuple_0 X4) → v3_ordinal1 X2 → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_1 X1 → v1_relat_1 X4 → v1_relat_1 X3 → v1_relat_1 X1 → v5_ordinal1 X4 → v5_ordinal1 X3 → v5_ordinal1 X1 → v1_ordinal2 X4 → v1_ordinal2 X3 → v1_ordinal2 X1 → v2_ordinal2 X3 → r1_ordinal2 X2 X4 → False) → (∀X3 X2 X1, (r2_hidden (esk4_3 X1 X2 X3) (k9_xtuple_0 X1) → False) → X2 = (k10_xtuple_0 X1) → v1_funct_1 X1 → v1_relat_1 X1 → r2_hidden X3 X2 → False) → (∀X1 X2, (X1 = X2 → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → (k1_funct_1 X1 (esk36_2 X1 X2)) = (k1_funct_1 X2 (esk36_2 X1 X2)) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (X2 = k1_xboole_0 → False) → (v2_ordinal2 X1 → False) → (k1_funct_1 X1 (esk34_2 X1 X2)) = (k11_ordinal2 (esk34_2 X1 X2) X2) → v3_ordinal1 X2 → v1_funct_1 X1 → v1_relat_1 X1 → v5_ordinal1 X1 → v1_ordinal2 X1 → False) → (∀X1 X3 X2, ((k1_funct_1 X2 (esk4_3 X2 X3 X1)) = X1 → False) → X3 = (k10_xtuple_0 X2) → v1_funct_1 X2 → v1_relat_1 X2 → r2_hidden X1 X3 → False) → (∀X3 X1 X2, (r2_hidden X1 (k9_xtuple_0 X2) → False) → v1_funct_1 X3 → v1_funct_1 X2 → v1_relat_1 X3 → v1_relat_1 X2 → r2_hidden X1 (k9_xtuple_0 (k3_relat_1 X2 X3)) → False) → (∀X3 X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (esk5_2 X1 X2) = (k1_funct_1 X1 X3) → v1_funct_1 X1 → v1_relat_1 X1 → r2_hidden X3 (k9_xtuple_0 X1) → r2_hidden (esk5_2 X1 X2) X2 → False) → (∀X1 X2 X3, ((k9_xtuple_0 (esk33_3 X1 X2 X3)) = (k11_ordinal2 X3 X2) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → 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, ((k1_funct_1 (k3_relat_1 X1 X2) X3) = (k1_funct_1 X2 (k1_funct_1 X1 X3)) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → r2_hidden X3 (k9_xtuple_0 X1) → False) → (∀X1 X2 X3, ((k9_xtuple_0 (esk31_3 X1 X2 X3)) = X3 → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, (v1_ordinal2 (esk33_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, (v1_ordinal2 (esk31_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, (v5_ordinal1 (esk33_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, (v5_ordinal1 (esk31_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, (v1_relat_1 (esk33_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, (v1_relat_1 (esk31_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, (v1_funct_1 (esk33_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, (v1_funct_1 (esk31_3 X1 X2 X3) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2 X3, ((k11_ordinal2 (k12_ordinal2 X1 X3) (k12_ordinal2 X1 X2)) = (k12_ordinal2 X1 (k10_ordinal2 X2 X3)) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk9_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) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → ((k1_funct_1 X1 (esk6_2 X1 X2)) = (esk5_2 X1 X2) → False) → (r2_hidden (esk5_2 X1 X2) X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X3 X2 X1, (X1 = k1_xboole_0 → False) → (r2_hidden (k11_ordinal2 X2 X1) (k11_ordinal2 X3 X1) → False) → v3_ordinal1 X3 → v3_ordinal1 X2 → v3_ordinal1 X1 → r2_hidden X2 X3 → False) → (∀X2 X1, (X2 = (k10_xtuple_0 X1) → False) → (r2_hidden (esk5_2 X1 X2) X2 → False) → (r2_hidden (esk6_2 X1 X2) (k9_xtuple_0 X1) → False) → v1_funct_1 X1 → v1_relat_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) → (∀X2 X1, ((k12_ordinal2 X1 (k2_xboole_0 X2 (k1_tarski X2))) = (k11_ordinal2 X1 (k12_ordinal2 X1 X2)) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1 X3, ((k1_funct_1 (esk32_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, (X1 = (k8_ordinal2 X2) → False) → v3_ordinal1 X3 → v3_ordinal1 X1 → v1_funct_1 X2 → v1_relat_1 X2 → v5_ordinal1 X2 → v1_ordinal2 X2 → r1_ordinal2 X3 X2 → r1_ordinal2 X1 X2 → False) → (∀X2 X1 X3 X4, (r2_hidden X3 X4 → False) → X4 = (k10_xtuple_0 X2) → X3 = (k1_funct_1 X2 X1) → v1_funct_1 X2 → v1_relat_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → False) → (∀X2 X1, (r1_tarski (k9_xtuple_0 (k3_relat_1 X1 X2)) (k9_xtuple_0 X1) → False) → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (X1 = X2 → False) → (r2_hidden (esk36_2 X1 X2) (k9_xtuple_0 X1) → False) → (k9_xtuple_0 X1) = (k9_xtuple_0 X2) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X3 X1 X2, (r1_ordinal2 X1 X2 → False) → X1 = (k8_ordinal2 X2) → v3_ordinal1 X3 → v3_ordinal1 X1 → v1_funct_1 X2 → v1_relat_1 X2 → v5_ordinal1 X2 → v1_ordinal2 X2 → r1_ordinal2 X3 X2 → False) → (∀X1 X2, (X2 = k1_xboole_0 → False) → (v2_ordinal2 X1 → False) → (r2_hidden (esk34_2 X1 X2) (k9_xtuple_0 X1) → False) → v3_ordinal1 X2 → v1_funct_1 X1 → v1_relat_1 X1 → v5_ordinal1 X1 → v1_ordinal2 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk7_2 X1 X2) X2 → False) → (∀X1, v3_ordinal1 X1 → v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1)) → False) → (∀X1 X2, (v2_funct_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v2_funct_1 X2 → v2_funct_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v2_funct_1 X2 → v2_funct_1 X1 → False) → (∀X1 X2, (X2 = k1_xboole_0 → False) → (v2_ordinal2 X1 → False) → (v3_ordinal1 (esk34_2 X1 X2) → False) → v3_ordinal1 X2 → v1_funct_1 X1 → v1_relat_1 X1 → v5_ordinal1 X1 → v1_ordinal2 X1 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X2 X1, (r2_hidden X2 X1 → False) → v1_ordinal1 X1 → r2_hidden X3 X1 → r2_hidden X2 X3 → False) → (∀X2 X1, (v3_ordinal1 (k1_funct_1 X1 X2) → False) → v3_ordinal1 X2 → v1_funct_1 X1 → v1_relat_1 X1 → v5_ordinal1 X1 → v1_ordinal2 X1 → False) → (∀X2 X1, (v3_card_1 (k9_xtuple_0 X2) X1 → False) → v1_card_1 X1 → v1_funct_1 X2 → v1_relat_1 X2 → v3_card_1 X2 X1 → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X1 X2, (v7_ordinal1 (k11_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_funct_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v3_ordinal1 (k11_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v7_ordinal1 X2 → v7_ordinal1 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 (esk7_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, (v4_ordinal1 (k11_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → v4_ordinal1 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 X2, (v1_funct_1 X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 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, (r1_ordinal1 (k3_ordinal2 X1) (k3_ordinal2 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, (X1 = X2 → False) → r1_tarski X2 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, ((k9_xtuple_0 (esk32_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 (esk32_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v5_ordinal1 (esk32_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, (v1_relat_1 (esk32_2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X2 X1, (v1_funct_1 (esk32_2 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) → (∀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 (k12_ordinal2 X1 X2) → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 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, (r1_ordinal1 X2 X1 → False) → (r1_ordinal1 X1 X2 → False) → v3_ordinal1 X2 → v3_ordinal1 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) → (∀X1 X2, (X2 = k1_xboole_0 → False) → (X1 = k1_xboole_0 → False) → (k11_ordinal2 X1 X2) = k1_xboole_0 → v3_ordinal1 X2 → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 (k8_ordinal2 X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → v5_ordinal1 X1 → v1_ordinal2 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 (k10_xtuple_0 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 (k9_xtuple_0 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 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 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_finset_1 X1 → False) → (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk27_1 X1) (k1_zfmisc_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, (v3_card_1 (esk26_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1, (v3_card_1 (esk23_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1, v1_xboole_0 X1 → v3_card_1 X1 np__1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_zfmisc_1 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_zfmisc_1 X1 → v1_funct_1 X1 → v1_relat_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, (v4_funct_1 (k1_tarski X1) → False) → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v3_card_1 X1 np__1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v3_card_1 X1 k1_xboole_0 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_card_1 X1 np__1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_card_1 (esk27_1 X1) np__1 → False) → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (esk21_1 X1) → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (k1_zfmisc_1 X1) → False) → (∀X1, ((k12_ordinal2 X1 np__1) = X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_card_1 X1 k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, ((k11_ordinal2 k1_xboole_0 X1) = k1_xboole_0 → False) → v3_ordinal1 X1 → False) → (∀X1, ((k12_ordinal2 np__1 X1) = np__1 → False) → v3_ordinal1 X1 → False) → (∀X1, ((k11_ordinal2 X1 k1_xboole_0) = k1_xboole_0 → False) → v3_ordinal1 X1 → False) → (∀X1, ((k12_ordinal2 X1 k1_xboole_0) = np__1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v3_ordinal1 X1 → v1_finset_1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X1, (v1_relat_1 (esk26_1 X1) → False) → v1_card_1 X1 → False) → (∀X1, (v1_funct_1 (esk26_1 X1) → False) → v1_card_1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, ((k3_ordinal2 X1) = X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_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, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (