Theorem. (t8_partit1)
∀esk19_5 : setsetsetsetsetset, ∀a_4_0_partit1 : setsetsetsetset, ∀r1_tarski : setsetprop, ∀esk36_3 : setsetsetset, ∀m1_eqrel_1 : setsetprop, ∀esk35_3 : setsetsetset, ∀k9_xtuple_0 : setset, ∀v1_relat_1 : setprop, ∀k8_setfam_1 : setsetset, ∀esk38_3 : setsetsetset, ∀k10_xtuple_0 : setset, ∀esk4_3 : setsetsetset, ∀r1_partit1 : setsetsetprop, ∀k1_relset_1 : setsetset, ∀esk6_2 : setsetset, ∀esk7_2 : setsetset, ∀esk9_3 : setsetsetset, ∀esk10_2 : setsetset, ∀esk13_3 : setsetsetset, ∀v1_partfun1 : setsetprop, ∀v5_relat_1 : setsetprop, ∀esk18_2 : setsetset, ∀esk11_2 : setsetset, ∀esk37_2 : setsetset, ∀k6_setfam_1 : setsetset, ∀esk12_2 : setsetset, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀v1_subset_1 : setsetprop, ∀v6_membered : setprop, ∀v4_membered : setprop, ∀v2_membered : setprop, ∀v7_ordinal1 : setprop, ∀v1_rat_1 : setprop, ∀v1_xxreal_0 : setprop, ∀esk24_1 : setset, ∀esk33_1 : setset, ∀esk30_0 : set, ∀esk27_0 : set, ∀esk22_2 : setsetset, ∀esk16_1 : setset, ∀esk25_0 : set, ∀esk17_1 : setset, ∀esk28_1 : setset, ∀esk23_2 : setsetset, ∀esk21_0 : set, ∀esk29_0 : set, ∀esk32_1 : setset, ∀v7_membered : setprop, ∀esk26_1 : setset, ∀esk8_1 : setset, ∀v1_setfam_1 : setprop, ∀esk34_1 : setset, ∀v1_xcmplx_0 : setprop, ∀v1_xreal_0 : setprop, ∀v1_int_1 : setprop, ∀v1_membered : setprop, ∀v3_membered : setprop, ∀v5_membered : setprop, ∀k5_setfam_1 : setsetset, ∀esk31_2 : setsetset, ∀esk15_2 : setsetset, ∀v4_relat_1 : setsetprop, ∀esk14_2 : setsetset, ∀k11_eqrel_1 : setsetsetset, ∀esk5_3 : setsetsetset, ∀k1_setfam_1 : setset, ∀k3_tarski : setset, ∀k1_xboole_0 : set, ∀k1_funct_1 : setsetset, ∀m2_subset_1 : setsetsetprop, ∀v1_xboole_0 : setprop, ∀v1_funct_1 : setprop, ∀v1_funct_2 : setsetsetprop, ∀k2_zfmisc_1 : setsetset, ∀r2_hidden : setsetprop, ∀a_4_3_partit1 : setsetsetsetset, ∀m1_subset_1 : setsetprop, ∀k3_funct_2 : setsetsetsetset, ∀esk20_5 : setsetsetsetsetset, ∀k1_zfmisc_1 : setset, (∀X2 X5 X1 X4 X3, ((k3_funct_2 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3)) X4 (esk20_5 X1 X3 X5 X2 X4)) = X1False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)v1_funct_1 X4m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X3))m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3))r2_hidden X1 (a_4_3_partit1 X3 X5 X2 X4)v1_funct_2 X4 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3))))False)(∀X2 X5 X1 X4 X3, ((k3_funct_2 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3)) X4 (esk19_5 X1 X3 X5 X2 X4)) = X1False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)v1_funct_1 X4m1_subset_1 X5 (k1_zfmisc_1 (k1_zfmisc_1 X3))m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3))r2_hidden X1 (a_4_0_partit1 X3 X5 X2 X4)v1_funct_2 X4 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3))))False)(∀X2 X1 X3 X5 X4, (v1_xboole_0 X4False)(v1_xboole_0 X2False)(m2_subset_1 (esk19_5 X1 X2 X3 X4 X5) (k1_zfmisc_1 X2) X4False)v1_funct_1 X5m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))r2_hidden X1 (a_4_0_partit1 X2 X3 X4 X5)v1_funct_2 X5 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))))False)(∀X2 X1 X3 X5 X4, (v1_xboole_0 X4False)(v1_xboole_0 X2False)(r2_hidden (esk20_5 X1 X2 X3 X4 X5) X3False)v1_funct_1 X5m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))r2_hidden X1 (a_4_3_partit1 X2 X3 X4 X5)v1_funct_2 X5 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))))False)(∀X2 X1 X3 X5 X4, (v1_xboole_0 X4False)(v1_xboole_0 X2False)(r2_hidden (esk19_5 X1 X2 X3 X4 X5) X3False)v1_funct_1 X5m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))r2_hidden X1 (a_4_0_partit1 X2 X3 X4 X5)v1_funct_2 X5 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))))False)(∀X2 X1 X3 X5 X4, (v1_xboole_0 X4False)(v1_xboole_0 X2False)(m1_subset_1 (esk20_5 X1 X2 X3 X4 X5) X4False)v1_funct_1 X5m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))r2_hidden X1 (a_4_3_partit1 X2 X3 X4 X5)v1_funct_2 X5 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))))False)(∀X2 X1 X6 X5 X4 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(r2_hidden X4 (a_4_0_partit1 X2 X6 X3 X5)False)X4 = (k3_funct_2 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2)) X5 X1)v1_funct_1 X5r2_hidden X1 X6m2_subset_1 X1 (k1_zfmisc_1 X2) X3m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))v1_funct_2 X5 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))))False)(∀X2 X1 X6 X5 X3 X4, (v1_xboole_0 X4False)(v1_xboole_0 X2False)(r2_hidden X3 (a_4_3_partit1 X4 X6 X2 X5)False)X3 = (k3_funct_2 X2 (k1_zfmisc_1 (k1_zfmisc_1 X4)) X5 X1)v1_funct_1 X5m1_subset_1 X1 X2r2_hidden X1 X6m1_subset_1 X6 (k1_zfmisc_1 (k1_zfmisc_1 X4))m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X4))v1_funct_2 X5 X2 (k1_zfmisc_1 (k1_zfmisc_1 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X4))))False)(∀X1 X2 X4 X3, (v1_xboole_0 X3False)(v1_xboole_0 X1False)(m1_subset_1 (a_4_3_partit1 X1 X2 X3 X4) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1)))False)v1_funct_1 X4m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))v1_funct_2 X4 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))))False)(∀X2 X3 X4 X1, (v1_xboole_0 X1False)(m1_subset_1 (k3_funct_2 X1 X3 X2 X4) X3False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X2 X3 X4 X1, ((k3_funct_2 X1 X3 X2 X4) = (k1_funct_1 X2 X4)False)(v1_xboole_0 X1False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X2 X4 X1, (v1_xboole_0 X1False)(r2_hidden (esk35_3 X1 X2 X3) X3False)(r1_tarski (k1_funct_1 (esk36_3 X1 X2 X3) X4) X2False)m1_eqrel_1 X2 X1r2_hidden X4 X3m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X4 X3 X2 X5, (X5 = k1_xboole_0False)(v1_xboole_0 X1False)(r1_tarski (k1_funct_1 (esk36_3 X1 X2 X3) X4) X2False)(esk35_3 X1 X2 X3) = (k3_tarski X5)m1_eqrel_1 X2 X1r2_hidden X4 X3r1_tarski X5 X2m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X4 X3 X1 X2, ((k3_tarski (k1_funct_1 (esk36_3 X2 X3 X4) X1)) = X1False)(v1_xboole_0 X2False)(r2_hidden (esk35_3 X2 X3 X4) X4False)m1_eqrel_1 X3 X2r2_hidden X1 X4m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X1 X4 X3 X2 X5, (X5 = k1_xboole_0False)((k3_tarski (k1_funct_1 (esk36_3 X2 X3 X4) X1)) = X1False)(v1_xboole_0 X2False)(esk35_3 X2 X3 X4) = (k3_tarski X5)m1_eqrel_1 X3 X2r2_hidden X1 X4r1_tarski X5 X3m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X3 X2 X4 X1, (v1_xboole_0 X1False)(r2_hidden (esk35_3 X1 X2 X3) X3False)(k1_funct_1 (esk36_3 X1 X2 X3) X4) = k1_xboole_0m1_eqrel_1 X2 X1r2_hidden X4 X3m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X4 X2 X3 X5, (X5 = k1_xboole_0False)(v1_xboole_0 X1False)(esk35_3 X1 X2 X3) = (k3_tarski X5)(k1_funct_1 (esk36_3 X1 X2 X3) X4) = k1_xboole_0m1_eqrel_1 X2 X1r2_hidden X4 X3r1_tarski X5 X2m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X3 X2 X1, ((k9_xtuple_0 (esk36_3 X1 X2 X3)) = X3False)(v1_xboole_0 X1False)(r2_hidden (esk35_3 X1 X2 X3) X3False)m1_eqrel_1 X2 X1m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_funct_1 (esk36_3 X1 X2 X3)False)(r2_hidden (esk35_3 X1 X2 X3) X3False)m1_eqrel_1 X2 X1m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_relat_1 (esk36_3 X1 X2 X3)False)(r2_hidden (esk35_3 X1 X2 X3) X3False)m1_eqrel_1 X2 X1m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X3 X1 X2 X4, (X4 = k1_xboole_0False)((k9_xtuple_0 (esk36_3 X1 X2 X3)) = X3False)(v1_xboole_0 X1False)(esk35_3 X1 X2 X3) = (k3_tarski X4)m1_eqrel_1 X2 X1r1_tarski X4 X2m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2 X3 X4, (X4 = k1_xboole_0False)(v1_xboole_0 X1False)(v1_funct_1 (esk36_3 X1 X2 X3)False)(esk35_3 X1 X2 X3) = (k3_tarski X4)m1_eqrel_1 X2 X1r1_tarski X4 X2m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2 X3 X4, (X4 = k1_xboole_0False)(v1_xboole_0 X1False)(v1_relat_1 (esk36_3 X1 X2 X3)False)(esk35_3 X1 X2 X3) = (k3_tarski X4)m1_eqrel_1 X2 X1r1_tarski X4 X2m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X3 X1 X2, (r2_hidden X1 (k8_setfam_1 X2 X3)False)r2_hidden X1 X2m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))r2_hidden X1 (esk38_3 X2 X1 X3)False)(∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4))False)(∀X2 X4 X3 X1, (v1_relat_1 (k10_xtuple_0 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 (k2_zfmisc_1 X3 X4)))False)(∀X2 X1 X3, (r2_hidden X2 (k8_setfam_1 X1 X3)False)(r2_hidden (esk38_3 X1 X2 X3) X3False)r2_hidden X2 X1m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_tarski (esk4_3 X1 X2 X3) X2False)m1_eqrel_1 X2 X1r1_partit1 X1 X2 X3False)(∀X3 X1 X2, ((k3_tarski (esk4_3 X2 X3 X1)) = X1False)(v1_xboole_0 X2False)m1_eqrel_1 X3 X2r1_partit1 X2 X3 X1False)(∀X2 X1 X3, (X3 = k1_xboole_0False)((k1_relset_1 X2 X1) = X2False)v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X1 X2, (X2 = k1_xboole_0False)(r2_hidden X1 X3False)X3 = (k1_setfam_1 X2)r2_hidden X1 (esk5_3 X2 X3 X1)False)(∀X3 X2 X1, (X1 = k1_xboole_0False)X3 = k1_xboole_0v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(esk4_3 X1 X2 X3) = k1_xboole_0m1_eqrel_1 X2 X1r1_partit1 X1 X2 X3False)(∀X1 X2 X3, (X3 = k1_xboole_0False)(v1_funct_2 X2 X1 X3False)(k1_relset_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X2 X1 X4 X3, (v1_xboole_0 X3False)(r2_hidden X1 X2False)X1 = (k11_eqrel_1 X3 X4 X2)m1_eqrel_1 X2 X3m1_subset_1 X4 X3m1_subset_1 X1 (k1_zfmisc_1 X3)False)(∀X2 X1 X4 X3, (v1_xboole_0 X3False)(r2_hidden X1 X2False)X2 = (k11_eqrel_1 X3 X1 X4)m1_eqrel_1 X4 X3m1_subset_1 X1 X3m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X3 X2 X1 X4, (X2 = (k11_eqrel_1 X4 X1 X3)False)(v1_xboole_0 X4False)m1_eqrel_1 X3 X4m1_subset_1 X1 X4r2_hidden X2 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X4)False)(∀X2 X3 X1, (v1_xboole_0 X1False)(m1_subset_1 (k11_eqrel_1 X1 X2 X3) (k1_zfmisc_1 X1)False)m1_eqrel_1 X3 X1m1_subset_1 X2 X1False)(∀X3 X2 X1 X4, (r2_hidden X1 X4False)r2_hidden X4 X3r2_hidden X1 X2r2_hidden X1 (k8_setfam_1 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, (X1 = k1_xboole_0False)(X2 = (k1_setfam_1 X1)False)r2_hidden (esk6_2 X1 X2) X2r2_hidden (esk6_2 X1 X2) (esk7_2 X1 X2)False)(∀X1 X2 X3, (v1_funct_2 X1 X2 X3False)X3 = k1_xboole_0X1 = k1_xboole_0m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X2 X1, (r2_hidden (esk9_3 X1 X2 X3) (k9_xtuple_0 X1)False)X2 = (k10_xtuple_0 X1)v1_relat_1 X1v1_funct_1 X1r2_hidden X3 X2False)(∀X1 X3 X2, ((k1_funct_1 X2 (esk9_3 X2 X3 X1)) = X1False)X3 = (k10_xtuple_0 X2)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 X3False)(∀X3 X2 X1, (X2 = (k10_xtuple_0 X1)False)(esk10_2 X1 X2) = (k1_funct_1 X1 X3)v1_relat_1 X1v1_funct_1 X1r2_hidden X3 (k9_xtuple_0 X1)r2_hidden (esk10_2 X1 X2) X2False)(∀X3 X2 X1, (X2 = (k3_tarski X1)False)r2_hidden X3 X1r2_hidden (esk14_2 X1 X2) X3r2_hidden (esk14_2 X1 X2) X2False)(∀X1 X2 X3, (r2_hidden (esk13_3 X1 X2 X3) X1False)X2 = (k3_tarski X1)r2_hidden X3 X2False)(∀X2 X3 X1, (r2_hidden X1 (esk13_3 X2 X3 X1)False)X3 = (k3_tarski X2)r2_hidden X1 X3False)(∀X2 X3 X1, (v1_xboole_0 X1False)v1_xboole_0 X2v1_partfun1 X3 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X2 X3 X1, (X1 = k1_xboole_0False)(r2_hidden X3 X2False)(r2_hidden (esk5_3 X1 X2 X3) X1False)X2 = (k1_setfam_1 X1)False)(∀X2 X3 X1, (m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)v1_relat_1 X1r1_tarski (k10_xtuple_0 X1) X3r1_tarski (k9_xtuple_0 X1) X2False)(∀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)(∀X3 X2 X1, (v1_partfun1 X2 X1False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X1 X2, (v5_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X3 X1 X2, (v4_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk18_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)(∀X3 X2 X1, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X4 X3 X2 X1, (X1 = k1_xboole_0False)(v1_xboole_0 X4False)(r1_partit1 X4 X2 X3False)X3 = (k3_tarski X1)m1_eqrel_1 X2 X4r1_tarski X1 X2False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)((k1_funct_1 X1 (esk11_2 X1 X2)) = (esk10_2 X1 X2)False)(r2_hidden (esk10_2 X1 X2) X2False)v1_relat_1 X1v1_funct_1 X1False)(∀X1 X2, (X2 = (k3_tarski X1)False)(r2_hidden (esk14_2 X1 X2) X2False)(r2_hidden (esk14_2 X1 X2) (esk15_2 X1 X2)False)False)(∀X2 X1, (X1 = k1_xboole_0False)(X2 = (k1_setfam_1 X1)False)(r2_hidden (esk7_2 X1 X2) X1False)r2_hidden (esk6_2 X1 X2) X2False)(∀X2 X3 X1, (X1 = k1_xboole_0False)(X2 = (k1_setfam_1 X1)False)(r2_hidden (esk6_2 X1 X2) X3False)(r2_hidden (esk6_2 X1 X2) X2False)r2_hidden X3 X1False)(∀X1 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk37_2 X3 X2)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (esk31_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)(r2_hidden (esk10_2 X1 X2) X2False)(r2_hidden (esk11_2 X1 X2) (k9_xtuple_0 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X2 X1, (m1_subset_1 (k5_setfam_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, (m1_subset_1 (k6_setfam_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, (m1_subset_1 (k8_setfam_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1 X3 X4, (r2_hidden X3 X4False)X4 = (k10_xtuple_0 X2)X3 = (k1_funct_1 X2 X1)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀X1 X2, (X2 = (k3_tarski X1)False)(r2_hidden (esk14_2 X1 X2) X2False)(r2_hidden (esk15_2 X1 X2) X1False)False)(∀X2 X1, (v1_xboole_0 X1False)(r1_partit1 X1 X2 X1False)m1_eqrel_1 X2 X1False)(∀X2 X1, (X1 = k1_xboole_0False)((k8_setfam_1 X2 X1) = (k6_setfam_1 X2 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, (r1_tarski X1 X2False)r2_hidden (esk12_2 X1 X2) X2False)(∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2)False)v1_relat_1 X1v4_relat_1 X1 X2False)(∀X1, (r1_partit1 esk1_0 esk2_0 X1False)r2_hidden X1 esk3_0False)(∀X3 X1 X2 X4, (X4 = k1_xboole_0False)(r2_hidden X1 X3False)X2 = (k1_setfam_1 X4)r2_hidden X3 X4r2_hidden X1 X2False)(∀X2 X1, ((k5_setfam_1 X2 X1) = (k3_tarski X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, ((k6_setfam_1 X2 X1) = (k1_setfam_1 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, ((k8_setfam_1 X2 X1) = X2False)X1 = k1_xboole_0m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X3 X2 X1 X4, (r2_hidden X1 X4False)X4 = (k3_tarski X3)r2_hidden X2 X3r2_hidden X1 X2False)(∀X2 X1, (r2_hidden (esk37_2 X1 X2) X2False)r2_hidden X1 X2False)(∀X2 X1, v1_xboole_0 X1v1_subset_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1 X3, (r1_tarski X1 X3False)r1_tarski X2 X3r1_tarski X1 X2False)(∀X1 X3 X2, (r2_hidden X3 X2False)r2_hidden X3 X1r1_tarski X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_xboole_0 (esk31_2 X1 X2)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_xboole_0 (k2_zfmisc_1 X1 X2)False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)m1_eqrel_1 X1 X2False)(∀X1 X2, (r1_tarski X1 X2False)(r2_hidden (esk12_2 X1 X2) X1False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v5_relat_1 (esk31_2 X1 X2) X2False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v4_relat_1 (esk31_2 X1 X2) X1False)False)(∀X2 X1, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1)False)v1_relat_1 X1v4_relat_1 X1 X2False)(∀X2 X1, (X1 = X2False)r1_tarski X2 X1r1_tarski X1 X2False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1 X2, (v6_membered X2False)v6_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v5_membered X2False)v5_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v4_membered X2False)v4_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v3_membered X2False)v3_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v2_membered X2False)v2_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_membered X2False)v1_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀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 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_1 (esk31_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_relat_1 (esk31_2 X1 X2)False)False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1 X2, (v7_ordinal1 X2False)v6_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_int_1 X2False)v5_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_rat_1 X2False)v4_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xreal_0 X2False)v3_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xxreal_0 X2False)v2_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xcmplx_0 X2False)v1_membered X1m1_subset_1 X2 X1False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 X2m1_eqrel_1 X2 X1False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk34_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)(∀X2 X1, v1_xboole_0 X1r2_hidden X2 X1False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, (v1_setfam_1 X1False)m1_eqrel_1 X1 X2False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk34_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(r2_hidden (esk8_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(m1_eqrel_1 (esk33_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(m1_eqrel_1 (esk26_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk33_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk26_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk24_1 X1)False)(∀X2 X1, (r1_tarski X1 X2False)X1 = X2False)(∀X2 X1, (r1_tarski X1 X2False)X1 = X2False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_setfam_1 (esk33_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_setfam_1 (esk26_1 X1)False)False)(∀X2 X1, (X1 = k1_xboole_0False)X2 = k1_xboole_0X1 = (k1_setfam_1 X2)False)(∀X1, (v7_membered X1False)v1_xboole_0 X1False)(∀X1, (v6_membered X1False)v1_xboole_0 X1False)(∀X1, (v5_membered X1False)v6_membered X1False)(∀X1, (v4_membered X1False)v5_membered X1False)(∀X1, (v3_membered X1False)v4_membered X1False)(∀X1, (v2_membered X1False)v3_membered X1False)(∀X1, (v1_membered X1False)v3_membered X1False)(∀X2 X1, (X1 = (k1_setfam_1 X2)False)X2 = k1_xboole_0X1 = k1_xboole_0False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r1_partit1 esk1_0 esk2_0 (k8_setfam_1 esk1_0 esk3_0)False)(∀X1, v1_subset_1 (esk32_1 X1) X1False)((k8_setfam_1 esk1_0 esk3_0) = k1_xboole_0False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk30_0False)(v1_xboole_0 esk29_0False)(v1_xboole_0 esk27_0False)(v1_xboole_0 esk21_0False)(v1_xboole_0 esk1_0False)(∀X2 X1, (m1_subset_1 (esk23_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk22_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (v5_relat_1 (esk23_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk22_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk23_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk22_2 X1 X2) X1False)False)(∀X1, (m1_subset_1 (k1_zfmisc_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 X1))False)False)(∀X1 X2, (v1_funct_1 (esk22_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk23_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk22_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk23_2 X1 X2)False)False)(∀X1, (m1_subset_1 (esk32_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 X1)False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (k1_zfmisc_1 esk1_0))False)False)(∀X1, (m1_subset_1 (esk17_1 X1) X1False)False)(∀X1, (m1_eqrel_1 (esk16_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((m1_eqrel_1 esk2_0 esk1_0False)False)(∀X1, (v1_xboole_0 (esk28_1 X1)False)False)((v7_membered esk30_0False)False)((v6_membered esk30_0False)False)((v6_membered esk27_0False)False)((v6_membered esk21_0False)False)((v1_xboole_0 esk25_0False)False)((v1_xboole_0 k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.