Theorem. (t1_nattra_1)
∀k6_cat_2 : setsetsetsetsetsetset, ∀k15_funct_3 : setsetset, ∀r8_binop_1 : setsetsetsetsetprop, ∀r2_relset_1 : setsetsetsetprop, ∀esk36_4 : setsetsetsetset, ∀k1_funct_1 : setsetset, ∀k8_mcart_1 : setsetsetsetset, ∀k5_relat_1 : setsetset, ∀v1_relat_1 : setprop, ∀v4_relat_1 : setsetprop, ∀esk29_2 : setsetset, ∀v2_finset_1 : setprop, ∀v5_finset_1 : setprop, ∀esk30_1 : setset, ∀esk26_1 : setset, ∀esk14_1 : setset, ∀esk7_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk5_0 : set, ∀esk3_0 : set, ∀esk6_0 : set, ∀esk4_0 : set, ∀esk8_0 : set, ∀esk22_0 : set, ∀esk32_0 : set, ∀esk21_0 : set, ∀esk12_0 : set, ∀esk13_2 : setsetset, ∀esk27_2 : setsetset, ∀esk20_1 : setset, ∀esk16_0 : set, ∀esk15_0 : set, ∀o_0_0_xboole_0 : set, ∀esk19_0 : set, ∀esk9_1 : setset, ∀esk24_2 : setsetset, ∀v1_xtuple_0 : setprop, ∀esk11_0 : set, ∀esk17_0 : set, ∀esk23_0 : set, ∀esk33_0 : set, ∀esk25_1 : setset, ∀k1_xboole_0 : set, ∀v2_relat_1 : setprop, ∀esk18_1 : setset, ∀esk28_1 : setset, ∀esk31_1 : setset, ∀v1_zfmisc_1 : setprop, ∀v3_relat_1 : setprop, ∀r1_tarski : setsetprop, ∀v1_subset_1 : setsetprop, ∀esk10_2 : setsetset, ∀v5_relat_1 : setsetprop, ∀m2_subset_1 : setsetsetprop, ∀v1_finset_1 : setprop, ∀esk34_3 : setsetsetset, ∀esk35_3 : setsetsetset, ∀r2_hidden : setsetprop, ∀k1_nattra_1 : setsetsetsetset, ∀k1_binop_1 : setsetsetset, ∀k1_tarski : setset, ∀k3_funct_2 : setsetsetsetset, ∀k2_tarski : setsetset, ∀k16_funct_3 : setsetsetsetsetsetset, ∀k2_binop_1 : setsetsetsetsetsetset, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀v1_funct_2 : setsetsetprop, ∀m1_subset_1 : setsetprop, ∀v1_funct_1 : setprop, ∀v1_xboole_0 : setprop, (∀X3 X1 X5 X7 X8 X6 X2 X4, ((k2_binop_1 X1 X3 (k2_zfmisc_1 X2 X4) (k16_funct_3 X1 X3 X2 X4 X5 X6) X7 X8) = (k2_tarski (k2_tarski (k3_funct_2 X1 X2 X5 X7) (k3_funct_2 X3 X4 X6 X8)) (k1_tarski (k3_funct_2 X1 X2 X5 X7)))False)(v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_funct_1 X6v1_funct_1 X5m1_subset_1 X8 X3m1_subset_1 X7 X1v1_funct_2 X6 X3 X4v1_funct_2 X5 X1 X2m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X1 X5 X6 X2 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (k6_cat_2 X1 X2 X3 X4 X5 X6) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) (k2_zfmisc_1 X3 X4)))False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X2 X4v1_funct_2 X5 X1 X3m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X5 X1 X3 X4 X2 X6, (m1_subset_1 (k16_funct_3 X1 X2 X3 X4 X5 X6) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) (k2_zfmisc_1 X3 X4)))False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X2 X4v1_funct_2 X5 X1 X3m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X1 X5 X6 X2 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_2 (k6_cat_2 X1 X2 X3 X4 X5 X6) (k2_zfmisc_1 X1 X2) (k2_zfmisc_1 X3 X4)False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X2 X4v1_funct_2 X5 X1 X3m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X5 X1 X3 X4 X2 X6, (v1_funct_2 (k16_funct_3 X1 X2 X3 X4 X5 X6) (k2_zfmisc_1 X1 X2) (k2_zfmisc_1 X3 X4)False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X2 X4v1_funct_2 X5 X1 X3m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1 X6 X4 X5 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (k2_binop_1 X1 X2 X4 X3 X5 X6) X4False)v1_funct_1 X3m1_subset_1 X6 X2m1_subset_1 X5 X1v1_funct_2 X3 (k2_zfmisc_1 X1 X2) X4m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) X4))False)(∀X3 X1 X5 X6 X2 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_1 (k6_cat_2 X1 X2 X3 X4 X5 X6)False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X2 X4v1_funct_2 X5 X1 X3m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X5 X1 X3 X4 X2 X6, (v1_funct_1 (k16_funct_3 X1 X2 X3 X4 X5 X6)False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X2 X4v1_funct_2 X5 X1 X3m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1 X6 X4 X5 X3 X2, ((k2_binop_1 X1 X2 X4 X3 X5 X6) = (k1_binop_1 X3 X5 X6)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_funct_1 X3m1_subset_1 X6 X2m1_subset_1 X5 X1v1_funct_2 X3 (k2_zfmisc_1 X1 X2) X4m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) X4))False)(∀X3 X1 X5 X6 X2 X4, ((k6_cat_2 X1 X2 X3 X4 X5 X6) = (k15_funct_3 X5 X6)False)(v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X2 X4v1_funct_2 X5 X1 X3m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1 X2 X3 X6 X5 X4, ((k16_funct_3 X2 X5 X3 X6 X1 X4) = (k15_funct_3 X1 X4)False)v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X5 X6v1_funct_2 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X5 X6))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X4 X2 X3 X5, (r8_binop_1 X2 X3 X4 X5 X1False)v1_funct_1 X5v1_funct_1 X1r8_binop_1 X2 X3 X4 X1 X5v1_funct_2 X5 (k2_zfmisc_1 X2 X3) X4v1_funct_2 X1 (k2_zfmisc_1 X2 X3) X4m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4))False)(∀X2 X1 X3 X4 X5, (X4 = X5False)v1_funct_1 X5v1_funct_1 X4r8_binop_1 X1 X2 X3 X4 X5v1_funct_2 X5 (k2_zfmisc_1 X1 X2) X3v1_funct_2 X4 (k2_zfmisc_1 X1 X2) X3m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) X3))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) X3))False)(∀X1 X3 X2 X4, (r2_relset_1 X2 X3 X1 X4False)(k1_funct_1 X1 (esk36_4 X2 X3 X1 X4)) = (k1_funct_1 X4 (esk36_4 X2 X3 X1 X4))v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X4 X3 X5 X1 X2, (r8_binop_1 X3 X4 X5 X1 X2False)X1 = X2v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 (k2_zfmisc_1 X3 X4) X5v1_funct_2 X1 (k2_zfmisc_1 X3 X4) X5m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X3 X4) X5))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X3 X4) X5))False)(∀X5 X3 X4 X1 X2, (r8_binop_1 X2 X3 X4 X1 X1False)v1_funct_1 X5v1_funct_1 X1v1_funct_2 X5 (k2_zfmisc_1 X2 X3) X4v1_funct_2 X1 (k2_zfmisc_1 X2 X3) X4m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4))False)(∀X3 X2 X1 X4, (r2_relset_1 X1 X2 X3 X4False)(m1_subset_1 (esk36_4 X1 X2 X3 X4) X1False)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X1 X2v1_funct_2 X3 X1 X2m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X1 X2 X3, (r2_relset_1 X2 X3 X4 X1False)r2_relset_1 X2 X3 X1 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X4 X1 X2, (v1_xboole_0 X2False)(m1_subset_1 (k1_nattra_1 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))False)v1_funct_1 X3v1_funct_2 X3 X1 X2m1_subset_1 X4 (k1_zfmisc_1 X1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X4 X1 X2, (v1_xboole_0 X2False)(v1_funct_2 (k1_nattra_1 X1 X2 X3 X4) X4 X2False)v1_funct_1 X3v1_funct_2 X3 X1 X2m1_subset_1 X4 (k1_zfmisc_1 X1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X2 X1 X3, ((k2_tarski (k2_tarski (esk34_3 X1 X2 X3) (esk35_3 X1 X2 X3)) (k1_tarski (esk34_3 X1 X2 X3))) = X1False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)r2_hidden X1 (k2_zfmisc_1 X2 X3)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)(∀X3 X4 X1 X2, (v1_xboole_0 X2False)(v1_funct_1 (k1_nattra_1 X1 X2 X3 X4)False)v1_funct_1 X3v1_funct_2 X3 X1 X2m1_subset_1 X4 (k1_zfmisc_1 X1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X3 X2 X1, (m1_subset_1 (k8_mcart_1 X2 X4 X1 X3) (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))False)m1_subset_1 X3 (k1_zfmisc_1 X4)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1 X3 X4, (X3 = X4False)r2_relset_1 X1 X2 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X2 X4 X3 X1, ((k1_nattra_1 X3 X1 X2 X4) = (k5_relat_1 X2 X4)False)(v1_xboole_0 X1False)v1_funct_1 X2v1_funct_2 X2 X3 X1m1_subset_1 X4 (k1_zfmisc_1 X3)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))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)(∀X4 X3 X1 X2, (r2_relset_1 X3 X4 X1 X2False)X1 = X2m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X4 X1 X3 X2, (r2_relset_1 X2 X3 X1 X1False)m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X4 X3 X2 X1, ((k8_mcart_1 X2 X4 X1 X3) = (k2_zfmisc_1 X1 X3)False)m1_subset_1 X3 (k1_zfmisc_1 X4)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X3 X2 X1, (v1_finset_1 X1False)v1_funct_1 X1v1_finset_1 X2v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 (esk35_3 X1 X2 X3) X3False)r2_hidden X1 (k2_zfmisc_1 X2 X3)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 (esk34_3 X1 X2 X3) X2False)r2_hidden X1 (k2_zfmisc_1 X2 X3)False)(∀X3 X2 X1, ((k1_funct_1 X1 (k2_tarski (k2_tarski X2 X3) (k1_tarski X2))) = (k1_binop_1 X1 X2 X3)False)v1_funct_1 X1v1_relat_1 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)(∀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 (esk10_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)(∀X3 X2 X1, ((k1_funct_1 (k5_relat_1 X1 X3) X2) = (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1r2_hidden X2 X3False)(∀X1 X3 X2, (v5_relat_1 X3 X2False)v1_relat_1 X1v5_relat_1 X1 X2m1_subset_1 X3 (k1_zfmisc_1 X1)False)(∀X1 X3 X2, (v4_relat_1 X3 X2False)v1_relat_1 X1v4_relat_1 X1 X2m1_subset_1 X3 (k1_zfmisc_1 X1)False)(∀X2 X3 X1, (v5_relat_1 (k5_relat_1 X1 X2) X3False)v1_relat_1 X1v5_relat_1 X1 X3False)(∀X2 X3 X1, (v4_relat_1 (k5_relat_1 X1 X2) X2False)v1_relat_1 X1v4_relat_1 X1 X3False)(∀X2 X3 X1, (v4_relat_1 (k5_relat_1 X1 X2) X3False)v1_relat_1 X1v4_relat_1 X1 X3False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀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, ((k5_relat_1 (k5_relat_1 X1 X2) X2) = (k5_relat_1 X1 X2)False)v1_relat_1 X1False)(∀X2 X3 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1v5_relat_1 X1 X3False)(∀X2 X3 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1v4_relat_1 X1 X3False)(∀X1 X2, (v1_relat_1 (k15_funct_3 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v1_funct_1 (k15_funct_3 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀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 (esk29_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, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_funct_1 X1v1_finset_1 X2v1_relat_1 X1False)(∀X2 X1, (v1_finset_1 (k5_relat_1 X1 X2)False)v1_funct_1 X1v1_finset_1 X2v1_relat_1 X1False)(∀X2 X1, (v1_finset_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v2_finset_1 X1False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v5_relat_1 (esk29_2 X1 X2) X2False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v4_relat_1 (esk29_2 X1 X2) X1False)False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, ((k5_relat_1 X1 X2) = X1False)v1_relat_1 X1v4_relat_1 X1 X2False)(∀X2 X1, (v5_finset_1 (k2_tarski X1 X2)False)v1_finset_1 X2v1_finset_1 X1False)(∀X2 X1, (v3_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1v3_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1v3_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_finset_1 X1v1_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_xboole_0 X1v1_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_xboole_0 X2v1_relat_1 X1False)(∀X2 X1, (v1_finset_1 (k5_relat_1 X1 X2)False)v1_finset_1 X1v1_relat_1 X1False)(∀X2 X1, (v1_finset_1 (k2_zfmisc_1 X1 X2)False)v1_finset_1 X2v1_finset_1 X1False)(∀X2 X1, (v1_xboole_0 (k5_relat_1 X1 X2)False)v1_xboole_0 X1v1_relat_1 X1False)(∀X2 X1, (v1_xboole_0 (k5_relat_1 X1 X2)False)v1_xboole_0 X2v1_relat_1 X1False)(∀X1 X2, (v5_finset_1 X2False)v5_finset_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_zfmisc_1 X2False)v1_zfmisc_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_relat_1 X2False)v1_relat_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_finset_1 X2False)v1_finset_1 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)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 X2v1_relat_1 X1v5_relat_1 X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 X2v1_relat_1 X1v4_relat_1 X1 X2False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_relat_1 (esk29_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_finset_1 (esk29_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_1 (esk29_2 X1 X2)False)False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1False)(∀X2 X1, (v1_xboole_0 (k2_zfmisc_1 X1 X2)False)v1_xboole_0 X1False)(∀X2 X1, (v1_xboole_0 (k2_zfmisc_1 X2 X1)False)v1_xboole_0 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1 X2, (v1_finset_1 X2False)v5_finset_1 X1m1_subset_1 X2 X1False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk31_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk30_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk26_1 X1) X1False)False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk31_1 X1)False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk30_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk28_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk18_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk14_1 X1)False)(∀X1, (v2_finset_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v2_relat_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v3_relat_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v5_finset_1 (k1_tarski X1)False)v1_finset_1 X1False)(∀X1, (v5_finset_1 (k1_zfmisc_1 X1)False)v1_finset_1 X1False)(∀X1, (v1_finset_1 (k1_zfmisc_1 X1)False)v1_finset_1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_zfmisc_1 X1False)(v1_finset_1 (esk31_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk28_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_finset_1 (esk18_1 X1)False)False)(∀X1, (v5_finset_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_relat_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_finset_1 X1False)v1_zfmisc_1 X1False)(∀X1, (v1_finset_1 X1False)v1_zfmisc_1 X1False)(∀X1, (v1_finset_1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r8_binop_1 esk7_0 esk8_0 (k2_zfmisc_1 esk1_0 esk2_0) (k1_nattra_1 (k2_zfmisc_1 esk3_0 esk4_0) (k2_zfmisc_1 esk1_0 esk2_0) (k6_cat_2 esk3_0 esk4_0 esk1_0 esk2_0 esk5_0 esk6_0) (k8_mcart_1 esk3_0 esk4_0 esk7_0 esk8_0)) (k6_cat_2 esk7_0 esk8_0 esk1_0 esk2_0 (k1_nattra_1 esk3_0 esk1_0 esk5_0 esk7_0) (k1_nattra_1 esk4_0 esk2_0 esk6_0 esk8_0))False)(∀X2 X1, v1_xboole_0 (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))False)(∀X1 X2, v1_xboole_0 (k2_tarski X1 X2)False)(∀X1, v1_subset_1 (esk25_1 X1) X1False)(∀X1, v1_xboole_0 (k1_tarski X1)False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_zfmisc_1 esk22_0False)(v1_xboole_0 esk33_0False)(v1_xboole_0 esk32_0False)(v1_xboole_0 esk23_0False)(v1_xboole_0 esk21_0False)(v1_xboole_0 esk17_0False)(v1_xboole_0 esk12_0False)(v1_xboole_0 esk11_0False)(v1_xboole_0 esk8_0False)(v1_xboole_0 esk7_0False)(v1_xboole_0 esk4_0False)(v1_xboole_0 esk3_0False)(v1_xboole_0 esk2_0False)(v1_xboole_0 esk1_0False)(∀X1 X2 X3 X4, (v1_relat_1 (k2_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) (k2_tarski (k2_tarski X3 X4) (k1_tarski X3)))False)False)(∀X1 X2, (v1_relat_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)))False)False)(∀X2 X1, (m1_subset_1 (esk13_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (v1_xtuple_0 (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))False)False)((m1_subset_1 esk6_0 (k1_zfmisc_1 (k2_zfmisc_1 esk4_0 esk2_0))False)False)((m1_subset_1 esk5_0 (k1_zfmisc_1 (k2_zfmisc_1 esk3_0 esk1_0))False)False)((v1_funct_2 esk6_0 esk4_0 esk2_0False)False)((v1_funct_2 esk5_0 esk3_0 esk1_0False)False)(∀X2 X1, (v5_relat_1 (esk27_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk24_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk13_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk27_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk24_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk13_2 X1 X2) X1False)False)(∀X1 X2, (v1_relat_1 (esk27_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk24_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk13_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (k2_zfmisc_1 X1 X2)False)False)(∀X1 X2, (v1_finset_1 (esk27_2 X1 X2)False)False)(∀X1 X2, (v1_finset_1 (k2_tarski X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk27_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk13_2 X1 X2)False)False)(∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1)False)False)(∀X1, (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk9_1 X1) X1False)False)((m1_subset_1 esk8_0 (k1_zfmisc_1 esk4_0)False)False)((m1_subset_1 esk7_0 (k1_zfmisc_1 esk3_0)False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, (v1_zfmisc_1 (k1_tarski X1)False)False)(∀X1, (v1_finset_1 (k1_tarski X1)False)False)(∀X1, (v1_xboole_0 (esk20_1 X1)False)False)((v1_xtuple_0 esk16_0False)False)((v2_finset_1 esk33_0False)False)((v5_finset_1 esk32_0False)False)((v2_relat_1 esk19_0False)False)((v1_zfmisc_1 esk17_0False)False)((v1_relat_1 esk33_0False)False)((v1_relat_1 esk23_0False)False)((v1_relat_1 esk19_0False)False)((v1_relat_1 esk12_0False)False)((v1_finset_1 esk32_0False)False)((v1_finset_1 esk23_0False)False)((v1_finset_1 esk11_0False)False)((v1_funct_1 esk33_0False)False)((v1_funct_1 esk23_0False)False)((v1_funct_1 esk6_0False)False)((v1_funct_1 esk5_0False)False)((v1_xboole_0 esk15_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.