Theorem. (t50_ordinal3)
∀r2_hidden : setsetprop, ∀k4_ordinal3 : setsetset, ∀esk4_3 : setsetsetset, ∀k1_funct_1 : setsetset, ∀v5_ordinal1 : setprop, ∀v1_relat_1 : setprop, ∀v1_funct_1 : setprop, ∀v1_ordinal2 : setprop, ∀k9_xtuple_0 : setset, ∀np__1 : set, ∀esk18_3 : setsetsetset, ∀k4_ordinal2 : setset, ∀esk6_2 : setsetset, ∀esk17_2 : setsetset, ∀v7_ordinal1 : setprop, ∀r1_tarski : setsetprop, ∀k3_ordinal2 : setset, ∀k10_xtuple_0 : setset, ∀v1_ordinal1 : setprop, ∀v2_ordinal1 : setprop, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk12_0 : set, ∀v2_xxreal_0 : setprop, ∀esk11_0 : set, ∀esk13_0 : set, ∀esk9_0 : set, ∀esk7_0 : set, ∀o_0_0_xboole_0 : set, ∀esk8_0 : set, ∀esk5_1 : setset, ∀k5_numbers : set, ∀k1_numbers : set, ∀esk10_0 : set, ∀esk14_0 : set, ∀v6_ordinal1 : setprop, ∀k10_ordinal2 : setsetset, ∀r1_ordinal1 : setsetprop, ∀m2_subset_1 : setsetsetprop, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀v1_xboole_0 : setprop, ∀v4_ordinal1 : setprop, ∀k1_xboole_0 : set, ∀v3_ordinal1 : setprop, ∀k2_xboole_0 : setsetset, ∀k1_tarski : setset, ∀esk15_2 : setsetset, ∀esk16_2 : setsetset, ∀k11_ordinal2 : setsetset, (∀X3 X2 X1, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))(k11_ordinal2 (k11_ordinal2 (esk16_2 X1 X2) X1) X2) = (k11_ordinal2 (esk16_2 X1 X2) (k11_ordinal2 X1 X2))(k11_ordinal2 (k11_ordinal2 (k2_xboole_0 (esk15_2 X1 X2) (k1_tarski (esk15_2 X1 X2))) X1) X2) = (k11_ordinal2 (k2_xboole_0 (esk15_2 X1 X2) (k1_tarski (esk15_2 X1 X2))) (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X4 X3 X2, ((k11_ordinal2 (k11_ordinal2 X4 X2) X3) = (k11_ordinal2 X4 (k11_ordinal2 X2 X3))False)((k11_ordinal2 (k11_ordinal2 X1 X2) X3) = (k11_ordinal2 X1 (k11_ordinal2 X2 X3))False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X2) X3) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X2 X3))(k11_ordinal2 (k11_ordinal2 (k2_xboole_0 (esk15_2 X2 X3) (k1_tarski (esk15_2 X2 X3))) X2) X3) = (k11_ordinal2 (k2_xboole_0 (esk15_2 X2 X3) (k1_tarski (esk15_2 X2 X3))) (k11_ordinal2 X2 X3))v3_ordinal1 X4v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r2_hidden X1 (esk16_2 X2 X3)False)(∀X3 X2 X1, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)(v4_ordinal1 (esk16_2 X1 X2)False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))(k11_ordinal2 (k11_ordinal2 (k2_xboole_0 (esk15_2 X1 X2) (k1_tarski (esk15_2 X1 X2))) X1) X2) = (k11_ordinal2 (k2_xboole_0 (esk15_2 X1 X2) (k1_tarski (esk15_2 X1 X2))) (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X3 X2 X1, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)(v3_ordinal1 (esk16_2 X1 X2)False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))(k11_ordinal2 (k11_ordinal2 (k2_xboole_0 (esk15_2 X1 X2) (k1_tarski (esk15_2 X1 X2))) X1) X2) = (k11_ordinal2 (k2_xboole_0 (esk15_2 X1 X2) (k1_tarski (esk15_2 X1 X2))) (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X3 X2 X1, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)(esk16_2 X1 X2) = k1_xboole_0(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))(k11_ordinal2 (k11_ordinal2 (k2_xboole_0 (esk15_2 X1 X2) (k1_tarski (esk15_2 X1 X2))) X1) X2) = (k11_ordinal2 (k2_xboole_0 (esk15_2 X1 X2) (k1_tarski (esk15_2 X1 X2))) (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1 X3, (X1 = (k4_ordinal3 X2 X3)False)(k9_xtuple_0 X1) = (k9_xtuple_0 X3)(k1_funct_1 X1 (esk4_3 X2 X3 X1)) = (k11_ordinal2 (k1_funct_1 X3 (esk4_3 X2 X3 X1)) X2)v3_ordinal1 X2v5_ordinal1 X3v5_ordinal1 X1v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1v1_ordinal2 X3v1_ordinal2 X1False)(∀X3 X1 X2, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)((k11_ordinal2 (k11_ordinal2 (esk15_2 X1 X2) X1) X2) = (k11_ordinal2 (esk15_2 X1 X2) (k11_ordinal2 X1 X2))False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))(k11_ordinal2 (k11_ordinal2 (esk16_2 X1 X2) X1) X2) = (k11_ordinal2 (esk16_2 X1 X2) (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X4 X3 X2, ((k11_ordinal2 (k11_ordinal2 X4 X2) X3) = (k11_ordinal2 X4 (k11_ordinal2 X2 X3))False)((k11_ordinal2 (k11_ordinal2 X1 X2) X3) = (k11_ordinal2 X1 (k11_ordinal2 X2 X3))False)((k11_ordinal2 (k11_ordinal2 (esk15_2 X2 X3) X2) X3) = (k11_ordinal2 (esk15_2 X2 X3) (k11_ordinal2 X2 X3))False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X2) X3) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X2 X3))v3_ordinal1 X4v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r2_hidden X1 (esk16_2 X2 X3)False)(∀X3 X2 X1, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)(v3_ordinal1 (esk15_2 X1 X2)False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))(k11_ordinal2 (k11_ordinal2 (esk16_2 X1 X2) X1) X2) = (k11_ordinal2 (esk16_2 X1 X2) (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X2 X3, (X3 = k1_xboole_0False)((k11_ordinal2 X3 X2) = (k4_ordinal2 X1)False)(k9_xtuple_0 X1) = X3(k1_funct_1 X1 (esk18_3 X2 X3 X1)) = (k11_ordinal2 (esk18_3 X2 X3 X1) X2)v3_ordinal1 X3v3_ordinal1 X2v5_ordinal1 X1v1_relat_1 X1v1_funct_1 X1v1_ordinal2 X1v4_ordinal1 X3r2_hidden np__1 X2False)(∀X3 X1 X2, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)((k11_ordinal2 (k11_ordinal2 (esk15_2 X1 X2) X1) X2) = (k11_ordinal2 (esk15_2 X1 X2) (k11_ordinal2 X1 X2))False)(v4_ordinal1 (esk16_2 X1 X2)False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X3 X1 X2, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)((k11_ordinal2 (k11_ordinal2 (esk15_2 X1 X2) X1) X2) = (k11_ordinal2 (esk15_2 X1 X2) (k11_ordinal2 X1 X2))False)(v3_ordinal1 (esk16_2 X1 X2)False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X4 X3 X2, ((k11_ordinal2 (k11_ordinal2 X4 X2) X3) = (k11_ordinal2 X4 (k11_ordinal2 X2 X3))False)((k11_ordinal2 (k11_ordinal2 X1 X2) X3) = (k11_ordinal2 X1 (k11_ordinal2 X2 X3))False)(v3_ordinal1 (esk15_2 X2 X3)False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X2) X3) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X2 X3))v3_ordinal1 X4v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r2_hidden X1 (esk16_2 X2 X3)False)(∀X3 X1 X2, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)((k11_ordinal2 (k11_ordinal2 (esk15_2 X1 X2) X1) X2) = (k11_ordinal2 (esk15_2 X1 X2) (k11_ordinal2 X1 X2))False)(esk16_2 X1 X2) = k1_xboole_0(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X3 X2 X1, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)(v3_ordinal1 (esk15_2 X1 X2)False)(v4_ordinal1 (esk16_2 X1 X2)False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X3 X2 X1, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)(v3_ordinal1 (esk15_2 X1 X2)False)(v3_ordinal1 (esk16_2 X1 X2)False)(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X3 X2 X1, ((k11_ordinal2 (k11_ordinal2 X3 X1) X2) = (k11_ordinal2 X3 (k11_ordinal2 X1 X2))False)(v3_ordinal1 (esk15_2 X1 X2)False)(esk16_2 X1 X2) = k1_xboole_0(k11_ordinal2 (k11_ordinal2 k1_xboole_0 X1) X2) = (k11_ordinal2 k1_xboole_0 (k11_ordinal2 X1 X2))v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X2 X3, (X3 = (k4_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 X1v5_ordinal1 X3v5_ordinal1 X2v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2v1_ordinal2 X3v1_ordinal2 X2False)(∀X3 X1 X2, (X2 = k1_xboole_0False)((k11_ordinal2 X2 X1) = (k4_ordinal2 X3)False)(r2_hidden (esk18_3 X1 X2 X3) X2False)(k9_xtuple_0 X3) = X2v3_ordinal1 X2v3_ordinal1 X1v5_ordinal1 X3v1_relat_1 X3v1_funct_1 X3v1_ordinal2 X3v4_ordinal1 X2r2_hidden np__1 X1False)(∀X3 X1 X2, (X2 = k1_xboole_0False)((k11_ordinal2 X2 X1) = (k4_ordinal2 X3)False)(v3_ordinal1 (esk18_3 X1 X2 X3)False)(k9_xtuple_0 X3) = X2v3_ordinal1 X2v3_ordinal1 X1v5_ordinal1 X3v1_relat_1 X3v1_funct_1 X3v1_ordinal2 X3v4_ordinal1 X2r2_hidden np__1 X1False)(∀X1 X2 X3, (X3 = (k4_ordinal3 X1 X2)False)(v3_ordinal1 (esk4_3 X1 X2 X3)False)(k9_xtuple_0 X2) = (k9_xtuple_0 X3)v3_ordinal1 X1v5_ordinal1 X3v5_ordinal1 X2v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2v1_ordinal2 X3v1_ordinal2 X2False)(∀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 X4v3_ordinal1 X1v5_ordinal1 X3v5_ordinal1 X2v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2v1_ordinal2 X3v1_ordinal2 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 X3 X1False)m2_subset_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 X1 X3False)m2_subset_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 X2)False)(∀X4 X1 X3 X2, (X2 = k1_xboole_0False)(r2_hidden (k11_ordinal2 X3 X1) (k11_ordinal2 X4 X2)False)v3_ordinal1 X4v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r2_hidden X3 X4r1_ordinal1 X1 X2False)(∀X3 X1 X2 X4, (r2_hidden (k11_ordinal2 X3 X1) (k11_ordinal2 X4 X2)False)v3_ordinal1 X4v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r2_hidden X3 X4r2_hidden X1 X2False)(∀X1 X2 X3, ((k10_ordinal2 (k11_ordinal2 X1 X3) (k11_ordinal2 X2 X3)) = (k11_ordinal2 (k10_ordinal2 X1 X2) X3)False)v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk6_2 X1 X2) X1 X2False)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m2_subset_1 X1 X3 X2False)m1_subset_1 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1 X2, (X2 = k1_xboole_0False)((k9_xtuple_0 X1) = k1_xboole_0False)((k4_ordinal2 (k4_ordinal3 X2 X1)) = (k11_ordinal2 (k4_ordinal2 X1) X2)False)v3_ordinal1 X2v5_ordinal1 X1v1_relat_1 X1v1_funct_1 X1v1_ordinal2 X1v4_ordinal1 (k4_ordinal2 X1)False)(∀X2 X1, ((k11_ordinal2 (k2_xboole_0 X1 (k1_tarski X1)) X2) = (k10_ordinal2 (k11_ordinal2 X1 X2) X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1 X3, ((k1_funct_1 (esk17_2 X3 X2) X1) = (k11_ordinal2 X1 X3)False)v3_ordinal1 X3v3_ordinal1 X2v3_ordinal1 X1r2_hidden X1 X2False)(∀X3 X1 X2, ((k9_xtuple_0 X1) = (k9_xtuple_0 X2)False)X1 = (k4_ordinal3 X3 X2)v3_ordinal1 X3v5_ordinal1 X2v5_ordinal1 X1v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1v1_ordinal2 X2v1_ordinal2 X1False)(∀X1, v3_ordinal1 X1v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1))False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1 X2, (v1_ordinal2 (k4_ordinal3 X1 X2)False)v3_ordinal1 X1v5_ordinal1 X2v1_relat_1 X2v1_funct_1 X2v1_ordinal2 X2False)(∀X1 X2, (v1_funct_1 (k4_ordinal3 X1 X2)False)v3_ordinal1 X1v5_ordinal1 X2v1_relat_1 X2v1_funct_1 X2v1_ordinal2 X2False)(∀X1 X2, (v1_relat_1 (k4_ordinal3 X1 X2)False)v3_ordinal1 X1v5_ordinal1 X2v1_relat_1 X2v1_funct_1 X2v1_ordinal2 X2False)(∀X1 X2, (v5_ordinal1 (k4_ordinal3 X1 X2)False)v3_ordinal1 X1v5_ordinal1 X2v1_relat_1 X2v1_funct_1 X2v1_ordinal2 X2False)(∀X2 X1, (v3_ordinal1 (k1_funct_1 X1 X2)False)v3_ordinal1 X2v5_ordinal1 X1v1_relat_1 X1v1_funct_1 X1v1_ordinal2 X1False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1, (v7_ordinal1 (k2_xboole_0 X1 (k1_tarski X1))False)v3_ordinal1 X1v7_ordinal1 X1False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 (k2_xboole_0 X1 X2)False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 (k2_xboole_0 X2 X1)False)(∀X2 X1, (v4_ordinal1 (k11_ordinal2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1v4_ordinal1 X1False)(∀X1 X2, (r1_tarski X1 X2False)v3_ordinal1 X2v3_ordinal1 X1r1_ordinal1 X1 X2False)(∀X1 X2, (r1_ordinal1 X1 X2False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X1 X2False)(∀X1, (v3_ordinal1 (k2_xboole_0 X1 (k1_tarski X1))False)v3_ordinal1 X1False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, ((k9_xtuple_0 (esk17_2 X1 X2)) = X2False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (v1_ordinal2 (esk17_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (v1_funct_1 (esk17_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (v1_relat_1 (esk17_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (v7_ordinal1 (k10_ordinal2 X1 X2)False)v7_ordinal1 X2v7_ordinal1 X1False)(∀X2 X1, (v5_ordinal1 (esk17_2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (v3_ordinal1 (k10_ordinal2 X1 X2)False)v7_ordinal1 X2v7_ordinal1 X1False)(∀X2 X1, (v3_ordinal1 (k10_ordinal2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (v3_ordinal1 (k2_xboole_0 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (v3_ordinal1 (k11_ordinal2 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1 X2, (v6_ordinal1 X2False)v6_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (r1_ordinal1 X2 X1False)(r1_ordinal1 X1 X2False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (r2_hidden X2 X1False)(r1_ordinal1 X1 X2False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, ((k2_xboole_0 X1 (k1_tarski X1)) = (k10_ordinal2 X1 np__1)False)v3_ordinal1 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, ((k4_ordinal2 X1) = (k3_ordinal2 (k10_xtuple_0 X1))False)v5_ordinal1 X1v1_relat_1 X1v1_funct_1 X1False)(∀X1 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X1 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X1, (v3_ordinal1 (k4_ordinal2 X1)False)v5_ordinal1 X1v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v3_ordinal1 (k9_xtuple_0 X1)False)v5_ordinal1 X1v1_relat_1 X1v1_funct_1 X1False)(∀X1, (X1 = k1_xboole_0False)(X1 = np__1False)v3_ordinal1 X1r1_ordinal1 X1 np__1False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, (r1_ordinal1 X1 X1False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1, ((k11_ordinal2 np__1 X1) = X1False)v3_ordinal1 X1False)(∀X1, ((k11_ordinal2 X1 np__1) = X1False)v3_ordinal1 X1False)(∀X1, ((k11_ordinal2 k1_xboole_0 X1) = k1_xboole_0False)v3_ordinal1 X1False)(∀X1, ((k11_ordinal2 X1 k1_xboole_0) = k1_xboole_0False)v3_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v1_ordinal1 X1v2_ordinal1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v7_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v5_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v2_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v6_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)((k11_ordinal2 (k11_ordinal2 esk1_0 esk2_0) esk3_0) = (k11_ordinal2 esk1_0 (k11_ordinal2 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 esk14_0False)(v1_xboole_0 esk12_0False)(v1_xboole_0 esk10_0False)(v1_xboole_0 np__1False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1)False)False)(∀X1, (m1_subset_1 (esk5_1 X1) X1False)False)(∀X1, ((k2_xboole_0 X1 X1) = X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1False)False)((m1_subset_1 np__1 k5_numbersFalse)False)((m1_subset_1 np__1 k1_numbersFalse)False)(∀X1, (v3_ordinal1 (k3_ordinal2 X1)False)False)((v2_xxreal_0 np__1False)False)((v4_ordinal1 esk8_0False)False)((v1_ordinal2 esk11_0False)False)((v1_funct_1 esk11_0False)False)((v1_relat_1 esk11_0False)False)((v7_ordinal1 esk14_0False)False)((v7_ordinal1 esk13_0False)False)((v5_ordinal1 esk11_0False)False)((v1_xboole_0 esk9_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v2_ordinal1 esk10_0False)False)((v2_ordinal1 esk8_0False)False)((v1_ordinal1 esk10_0False)False)((v1_ordinal1 esk8_0False)False)((v3_ordinal1 esk10_0False)False)((v3_ordinal1 esk8_0False)False)((v3_ordinal1 esk7_0False)False)((v3_ordinal1 esk3_0False)False)((v3_ordinal1 esk2_0False)False)((v3_ordinal1 esk1_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.