Theorem. (t6_ordinal4)
∀esk27_3 : setsetsetset, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk26_2 : setsetset, ∀v3_card_1 : setsetprop, ∀v1_card_1 : setprop, ∀v7_ordinal1 : setprop, ∀v4_funct_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀v1_finset_1 : setprop, ∀esk18_1 : setset, ∀esk23_1 : setset, ∀np__1 : set, ∀v2_funct_1 : setprop, ∀v2_ordinal1 : setprop, ∀esk21_0 : set, ∀esk22_0 : set, ∀esk14_0 : set, ∀v2_xxreal_0 : setprop, ∀esk12_0 : set, ∀esk19_0 : set, ∀esk11_0 : set, ∀o_0_0_xboole_0 : set, ∀esk10_0 : set, ∀esk9_0 : set, ∀esk15_0 : set, ∀esk8_0 : set, ∀esk13_0 : set, ∀esk6_1 : setset, ∀k5_numbers : set, ∀k1_numbers : set, ∀np__0 : set, ∀esk16_0 : set, ∀esk25_0 : set, ∀esk17_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀v3_funct_1 : setprop, ∀esk20_1 : setset, ∀esk24_1 : setset, ∀esk5_1 : setset, ∀v6_ordinal1 : setprop, ∀v1_ordinal1 : setprop, ∀r1_tarski : setsetprop, ∀v1_relat_1 : setprop, ∀v1_funct_1 : setprop, ∀v1_ordinal2 : setprop, ∀v5_ordinal1 : setprop, ∀k1_tarski : setset, ∀k2_xboole_0 : setsetset, ∀esk7_2 : setsetset, ∀m2_subset_1 : setsetsetprop, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀v1_xboole_0 : setprop, ∀esk30_2 : setsetset, ∀esk31_3 : setsetsetset, ∀esk29_2 : setsetset, ∀k1_funct_1 : setsetset, ∀r2_hidden : setsetprop, ∀r1_ordinal2 : setsetprop, ∀r1_ordinal1 : setsetprop, ∀esk28_4 : setsetsetsetset, ∀k9_xtuple_0 : setset, ∀epred1_2 : setsetprop, ∀v3_ordinal1 : setprop, ∀k1_xboole_0 : set, (∀X3 X1 X2 X5 X4, (X4 = k1_xboole_0False)(r2_hidden (k1_funct_1 X1 X2) X3False)v3_ordinal1 X5v3_ordinal1 X3v3_ordinal1 X2r1_ordinal2 X4 X1r2_hidden X5 X4r2_hidden X4 X3epred1_2 X1 X4r2_hidden X2 (k9_xtuple_0 X1)r1_ordinal1 (esk28_4 X4 X1 X5 X3) X2False)(∀X1 X3 X2 X5 X4, (X4 = k1_xboole_0False)(r2_hidden X1 (k1_funct_1 X2 X3)False)v3_ordinal1 X5v3_ordinal1 X3v3_ordinal1 X1r1_ordinal2 X4 X2r2_hidden X4 X5r2_hidden X1 X4epred1_2 X2 X4r2_hidden X3 (k9_xtuple_0 X2)r1_ordinal1 (esk28_4 X4 X2 X1 X5) X3False)(∀X2 X3 X1, (X1 = k1_xboole_0False)(r1_ordinal2 X1 X2False)v3_ordinal1 X3epred1_2 X2 X1r2_hidden X3 (k9_xtuple_0 X2)r2_hidden (esk29_2 X1 X2) (k1_funct_1 X2 (esk31_3 X1 X2 X3))r2_hidden (k1_funct_1 X2 (esk31_3 X1 X2 X3)) (esk30_2 X1 X2)False)(∀X4 X2 X3 X1, (X1 = k1_xboole_0False)(r2_hidden (esk28_4 X1 X2 X3 X4) (k9_xtuple_0 X2)False)v3_ordinal1 X4v3_ordinal1 X3r1_ordinal2 X1 X2r2_hidden X3 X1r2_hidden X1 X4epred1_2 X2 X1False)(∀X4 X2 X3 X1, (X1 = k1_xboole_0False)(v3_ordinal1 (esk28_4 X1 X2 X3 X4)False)v3_ordinal1 X4v3_ordinal1 X3r1_ordinal2 X1 X2r2_hidden X3 X1r2_hidden X1 X4epred1_2 X2 X1False)(∀X3 X2 X1, (r1_ordinal2 X2 X1False)X2 = k1_xboole_0(k1_funct_1 X1 (esk27_3 X2 X1 X3)) = k1_xboole_0v3_ordinal1 X3epred1_2 X1 X2r2_hidden X3 (k9_xtuple_0 X1)False)(∀X3 X1 X2, (r1_ordinal2 X1 X2False)(r2_hidden (esk27_3 X1 X2 X3) (k9_xtuple_0 X2)False)X1 = k1_xboole_0v3_ordinal1 X3epred1_2 X2 X1r2_hidden X3 (k9_xtuple_0 X2)False)(∀X2 X3 X1, (X1 = k1_xboole_0False)(r1_ordinal2 X1 X2False)(r2_hidden (esk31_3 X1 X2 X3) (k9_xtuple_0 X2)False)v3_ordinal1 X3epred1_2 X2 X1r2_hidden X3 (k9_xtuple_0 X2)False)(∀X1 X2 X3, (r1_ordinal2 X2 X3False)(r1_ordinal1 X1 (esk27_3 X2 X3 X1)False)X2 = k1_xboole_0v3_ordinal1 X1epred1_2 X3 X2r2_hidden X1 (k9_xtuple_0 X3)False)(∀X3 X1 X2, (X2 = k1_xboole_0False)(r1_ordinal2 X2 X3False)(r1_ordinal1 X1 (esk31_3 X2 X3 X1)False)v3_ordinal1 X1epred1_2 X3 X2r2_hidden X1 (k9_xtuple_0 X3)False)(∀X3 X1 X2, (r1_ordinal2 X1 X2False)(v3_ordinal1 (esk27_3 X1 X2 X3)False)X1 = k1_xboole_0v3_ordinal1 X3epred1_2 X2 X1r2_hidden X3 (k9_xtuple_0 X2)False)(∀X1 X2, (r2_hidden (k1_funct_1 esk1_0 X2) (k1_funct_1 esk2_0 X2)False)(r1_ordinal1 (k1_funct_1 esk1_0 X1) (k1_funct_1 esk2_0 X1)False)v3_ordinal1 X2v3_ordinal1 X1r2_hidden X2 (k9_xtuple_0 esk1_0)r2_hidden X1 (k9_xtuple_0 esk1_0)False)(∀X2 X3 X1, (X1 = k1_xboole_0False)(r1_ordinal2 X1 X2False)(v3_ordinal1 (esk31_3 X1 X2 X3)False)v3_ordinal1 X3epred1_2 X2 X1r2_hidden X3 (k9_xtuple_0 X2)False)(∀X2 X1 X3, ((k1_funct_1 X3 X1) = k1_xboole_0False)X2 = k1_xboole_0v3_ordinal1 X1r1_ordinal2 X2 X3epred1_2 X3 X2r2_hidden X1 (k9_xtuple_0 X3)r1_ordinal1 (esk26_2 X2 X3) X1False)(∀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)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk7_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, (r1_ordinal1 X1 X2False)v3_ordinal1 X2v3_ordinal1 X1r2_hidden X1 (k2_xboole_0 X2 (k1_tarski X2))False)(∀X2 X1, (r2_hidden (esk26_2 X1 X2) (k9_xtuple_0 X2)False)X1 = k1_xboole_0r1_ordinal2 X1 X2epred1_2 X2 X1False)(∀X1 X2, (r2_hidden X1 (k2_xboole_0 X2 (k1_tarski X2))False)v3_ordinal1 X2v3_ordinal1 X1r1_ordinal1 X1 X2False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal2 X1 X2False)(r2_hidden (esk29_2 X1 X2) X1False)epred1_2 X2 X1False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal2 X1 X2False)(r2_hidden X1 (esk30_2 X1 X2)False)epred1_2 X2 X1False)(∀X2 X1, (v3_ordinal1 (esk26_2 X1 X2)False)X1 = k1_xboole_0r1_ordinal2 X1 X2epred1_2 X2 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)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal2 X1 X2False)(v3_ordinal1 (esk30_2 X1 X2)False)epred1_2 X2 X1False)(∀X2 X1, (X1 = k1_xboole_0False)(r1_ordinal2 X1 X2False)(v3_ordinal1 (esk29_2 X1 X2)False)epred1_2 X2 X1False)(∀X2 X1, (v3_ordinal1 (k1_funct_1 X1 X2)False)v1_relat_1 X1v5_ordinal1 X1v1_funct_1 X1v1_ordinal2 X1v3_ordinal1 X2False)(∀X1 X2, (v3_card_1 (k9_xtuple_0 X2) X1False)v1_relat_1 X2v1_funct_1 X2v1_card_1 X1v3_card_1 X2 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)(∀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 X2, (v1_funct_1 X2False)v1_relat_1 X1v1_funct_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (epred1_2 X2 X1False)v1_relat_1 X2v5_ordinal1 X2v1_funct_1 X2v1_ordinal2 X2v3_ordinal1 X1False)(∀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)(∀X1 X2, r2_hidden X1 X2r1_tarski X2 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, ((k2_xboole_0 X1 X2) = X2False)((k2_xboole_0 X1 X2) = X1False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (v3_ordinal1 (k2_xboole_0 X1 X2)False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (r1_tarski X2 X1False)v1_ordinal1 X1r2_hidden X2 X1False)(∀X1 X2, (v4_funct_1 X2False)v4_funct_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀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)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, (v1_ordinal1 X1False)r1_tarski (esk5_1 X1) X1False)(∀X1, (v1_zfmisc_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_zfmisc_1 (k9_xtuple_0 X1)False)(∀X1 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X1 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X2 X1, (v1_funct_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀X2 X1, (v1_relat_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀X1, (v3_ordinal1 (k9_xtuple_0 X1)False)v1_relat_1 X1v5_ordinal1 X1v1_funct_1 X1False)(∀X1, (v1_finset_1 X1False)(m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, (r1_ordinal1 X1 X1False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1, (v3_card_1 (esk23_1 X1) X1False)v1_card_1 X1False)(∀X1, (v3_card_1 (esk20_1 X1) X1False)v1_card_1 X1False)(∀X1, v1_xboole_0 X1v3_card_1 X1 np__1False)(∀X1, (v3_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_xboole_0 X1False)(∀X1, (v2_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_xboole_0 X1False)(∀X1, (v1_ordinal1 X1False)(r2_hidden (esk5_1 X1) X1False)False)(∀X1, (v4_funct_1 (k1_tarski X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_zfmisc_1 X1False)v3_card_1 X1 np__1False)(∀X1, (v1_xboole_0 X1False)v3_card_1 X1 k1_xboole_0False)(∀X1, (v1_xboole_0 X1False)(v3_card_1 X1 np__1False)v1_zfmisc_1 X1False)(∀X1, (v1_xboole_0 X1False)(v3_card_1 (esk24_1 X1) np__1False)False)(∀X1, (X1 = k1_xboole_0False)(r2_hidden k1_xboole_0 X1False)v3_ordinal1 X1False)(∀X1, (v1_finset_1 X1False)v1_finset_1 (esk18_1 X1)False)(∀X1, (v1_finset_1 X1False)v1_finset_1 (k1_zfmisc_1 X1)False)(∀X1, (v3_card_1 X1 k1_xboole_0False)v1_xboole_0 X1False)(∀X1, (v7_ordinal1 X1False)v3_ordinal1 X1v1_finset_1 X1False)(∀X1, (v3_ordinal1 X1False)v1_ordinal1 X1v2_ordinal1 X1False)(∀X1, (v1_funct_1 (esk23_1 X1)False)v1_card_1 X1False)(∀X1, (v1_relat_1 (esk23_1 X1)False)v1_card_1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_finset_1 X1False)v7_ordinal1 X1False)(∀X1, (v7_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v2_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_card_1 X1False)v7_ordinal1 X1False)(∀X1, (v1_card_1 X1False)v1_xboole_0 X1False)(∀X1, (v6_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v1_card_1 X1False)(∀X1, (v3_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v1_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v5_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(∀X1, v1_xboole_0 (k2_xboole_0 X1 (k1_tarski X1))False)(r1_ordinal1 esk3_0 esk4_0False)(∀X1, v1_xboole_0 (k1_tarski X1)False)(v1_finset_1 esk17_0False)(v3_funct_1 esk21_0False)(v1_xboole_0 esk25_0False)(v1_xboole_0 esk22_0False)(v1_xboole_0 esk16_0False)(v1_xboole_0 esk14_0False)(v1_xboole_0 np__1False)(∀X1, (r2_hidden X1 (k2_xboole_0 X1 (k1_tarski X1))False)False)((m2_subset_1 np__0 k1_numbers k5_numbersFalse)False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(∀X1 X2, (r1_tarski X1 (k2_xboole_0 X1 X2)False)False)(∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1)False)False)(∀X1, (m1_subset_1 (esk6_1 X1) X1False)False)(∀X1, (v3_card_1 (k1_tarski X1) np__1False)False)(((k2_xboole_0 np__0 (k1_tarski np__0)) = np__1False)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__0 k5_numbersFalse)False)((m1_subset_1 np__0 k1_numbersFalse)False)((m1_subset_1 np__1 k5_numbersFalse)False)((m1_subset_1 np__1 k1_numbersFalse)False)((r1_ordinal2 esk4_0 esk2_0False)False)((r1_ordinal2 esk3_0 esk1_0False)False)(((k9_xtuple_0 esk2_0) = (k9_xtuple_0 esk1_0)False)False)((v2_xxreal_0 np__1False)False)((v4_funct_1 esk25_0False)False)((v1_finset_1 esk12_0False)False)((v7_ordinal1 esk22_0False)False)((v7_ordinal1 esk19_0False)False)((v2_funct_1 esk13_0False)False)((v2_ordinal1 esk14_0False)False)((v2_ordinal1 esk12_0False)False)((v1_ordinal1 esk14_0False)False)((v1_ordinal1 esk12_0False)False)((v1_card_1 esk12_0False)False)((v1_card_1 esk8_0False)False)((v1_xboole_0 esk11_0False)False)((v1_xboole_0 np__0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v3_ordinal1 esk14_0False)False)((v3_ordinal1 esk12_0False)False)((v3_ordinal1 esk10_0False)False)((v3_ordinal1 esk4_0False)False)((v3_ordinal1 esk3_0False)False)((v1_ordinal2 esk15_0False)False)((v1_ordinal2 esk2_0False)False)((v1_ordinal2 esk1_0False)False)((v1_funct_1 esk21_0False)False)((v1_funct_1 esk15_0False)False)((v1_funct_1 esk13_0False)False)((v1_funct_1 esk9_0False)False)((v1_funct_1 esk2_0False)False)((v1_funct_1 esk1_0False)False)((v5_ordinal1 esk15_0False)False)((v5_ordinal1 esk2_0False)False)((v5_ordinal1 esk1_0False)False)((v1_relat_1 esk21_0False)False)((v1_relat_1 esk15_0False)False)((v1_relat_1 esk13_0False)False)((v1_relat_1 esk9_0False)False)((v1_relat_1 esk2_0False)False)((v1_relat_1 esk1_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.