Theorem. (t31_fintopo2)
∀v1_xboole_0 : setprop, ∀v1_funct_1 : setprop, ∀v1_funct_2 : setsetsetprop, ∀k2_zfmisc_1 : setsetset, ∀k3_funct_2 : setsetsetsetset, ∀v2_struct_0 : setprop, ∀l1_fintopo2 : setprop, ∀k1_funct_1 : setsetset, ∀esk28_3 : setsetsetset, ∀esk26_3 : setsetsetset, ∀v4_relat_1 : setsetprop, ∀esk22_1 : setset, ∀v1_zfmisc_1 : setprop, ∀esk24_1 : setset, ∀esk15_1 : setset, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀esk14_2 : setsetset, ∀esk19_1 : setset, ∀esk16_0 : set, ∀esk9_0 : set, ∀esk10_0 : set, ∀o_0_0_xboole_0 : set, ∀esk11_1 : setset, ∀esk20_0 : set, ∀esk21_1 : setset, ∀esk23_1 : setset, ∀esk25_1 : setset, ∀k1_xboole_0 : set, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀esk17_1 : setset, ∀l1_struct_0 : setprop, ∀esk18_1 : setset, ∀v7_struct_0 : setprop, ∀v1_subset_1 : setsetprop, ∀esk27_2 : setsetset, ∀v1_relat_1 : setprop, ∀v5_relat_1 : setsetprop, ∀u1_fintopo2 : setset, ∀esk12_3 : setsetsetset, ∀esk13_3 : setsetsetset, ∀a_2_3_fintopo2 : setsetset, ∀esk8_3 : setsetsetset, ∀k3_xboole_0 : setsetset, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀esk6_0 : set, ∀esk5_0 : set, ∀r1_tarski : setsetprop, ∀esk7_3 : setsetsetset, ∀r2_hidden : setsetprop, ∀k6_fintopo2 : setsetset, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀k10_fintopo2 : setsetset, ∀u1_struct_0 : setset, ∀k9_subset_1 : setsetsetset, ∀esk1_0 : set, (∀X3 X2 X1 X4 X5, ((k9_subset_1 (u1_struct_0 esk1_0) (k10_fintopo2 esk1_0 X4) (k10_fintopo2 esk1_0 X5)) = (k10_fintopo2 esk1_0 (k9_subset_1 (u1_struct_0 esk1_0) X4 X5))False)(r1_tarski (esk7_3 X1 X2 X3) (k9_subset_1 (u1_struct_0 esk1_0) X2 X3)False)m1_subset_1 X1 (u1_struct_0 esk1_0)r2_hidden X3 (k6_fintopo2 esk1_0 X1)r2_hidden X2 (k6_fintopo2 esk1_0 X1)m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 esk1_0))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)(∀X1 X3 X2 X4 X5, ((k9_subset_1 (u1_struct_0 esk1_0) (k10_fintopo2 esk1_0 X4) (k10_fintopo2 esk1_0 X5)) = (k10_fintopo2 esk1_0 (k9_subset_1 (u1_struct_0 esk1_0) X4 X5))False)(r2_hidden (esk7_3 X1 X2 X3) (k6_fintopo2 esk1_0 X1)False)m1_subset_1 X1 (u1_struct_0 esk1_0)r2_hidden X3 (k6_fintopo2 esk1_0 X1)r2_hidden X2 (k6_fintopo2 esk1_0 X1)m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(∀X3 X2 X1 X4 X5, ((k9_subset_1 (u1_struct_0 esk1_0) (k10_fintopo2 esk1_0 X4) (k10_fintopo2 esk1_0 X5)) = (k10_fintopo2 esk1_0 (k9_subset_1 (u1_struct_0 esk1_0) X4 X5))False)(m1_subset_1 (esk7_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 esk1_0))False)m1_subset_1 X1 (u1_struct_0 esk1_0)r2_hidden X3 (k6_fintopo2 esk1_0 X1)r2_hidden X2 (k6_fintopo2 esk1_0 X1)m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(∀X1, (k9_subset_1 (u1_struct_0 esk1_0) (k10_fintopo2 esk1_0 esk5_0) (k10_fintopo2 esk1_0 esk6_0)) = (k10_fintopo2 esk1_0 (k9_subset_1 (u1_struct_0 esk1_0) esk5_0 esk6_0))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 esk1_0))r2_hidden X1 (k6_fintopo2 esk1_0 esk2_0)r1_tarski X1 (k9_subset_1 (u1_struct_0 esk1_0) esk3_0 esk4_0)False)(∀X3 X2 X1, (v2_struct_0 X1False)(r1_tarski (k10_fintopo2 X1 (k9_subset_1 (u1_struct_0 X1) X2 X3)) (k9_subset_1 (u1_struct_0 X1) (k10_fintopo2 X1 X2) (k10_fintopo2 X1 X3))False)l1_fintopo2 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)r2_hidden (esk8_3 X1 X2 X3) X3r2_hidden (esk8_3 X1 X2 X3) X2r2_hidden (esk8_3 X1 X2 X3) X1False)(∀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)(∀X1 X3 X2, (v2_struct_0 X2False)(r2_hidden (esk13_3 X1 X2 X3) (k6_fintopo2 X2 (esk12_3 X1 X2 X3))False)l1_fintopo2 X2r2_hidden X1 (a_2_3_fintopo2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X2 X3, (X2 = X3False)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)r2_hidden (esk28_3 X1 X2 X3) X3r2_hidden (esk28_3 X1 X2 X3) X2False)((r2_hidden esk4_0 (k6_fintopo2 esk1_0 esk2_0)False)(k9_subset_1 (u1_struct_0 esk1_0) (k10_fintopo2 esk1_0 esk5_0) (k10_fintopo2 esk1_0 esk6_0)) = (k10_fintopo2 esk1_0 (k9_subset_1 (u1_struct_0 esk1_0) esk5_0 esk6_0))False)((r2_hidden esk3_0 (k6_fintopo2 esk1_0 esk2_0)False)(k9_subset_1 (u1_struct_0 esk1_0) (k10_fintopo2 esk1_0 esk5_0) (k10_fintopo2 esk1_0 esk6_0)) = (k10_fintopo2 esk1_0 (k9_subset_1 (u1_struct_0 esk1_0) esk5_0 esk6_0))False)((m1_subset_1 esk4_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(k9_subset_1 (u1_struct_0 esk1_0) (k10_fintopo2 esk1_0 esk5_0) (k10_fintopo2 esk1_0 esk6_0)) = (k10_fintopo2 esk1_0 (k9_subset_1 (u1_struct_0 esk1_0) esk5_0 esk6_0))False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(k9_subset_1 (u1_struct_0 esk1_0) (k10_fintopo2 esk1_0 esk5_0) (k10_fintopo2 esk1_0 esk6_0)) = (k10_fintopo2 esk1_0 (k9_subset_1 (u1_struct_0 esk1_0) esk5_0 esk6_0))False)(∀X2 X1, ((k3_funct_2 (u1_struct_0 X1) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) (u1_fintopo2 X1) X2) = (k6_fintopo2 X1 X2)False)(v2_struct_0 X1False)l1_fintopo2 X1m1_subset_1 X2 (u1_struct_0 X1)False)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)(k9_subset_1 (u1_struct_0 esk1_0) (k10_fintopo2 esk1_0 esk5_0) (k10_fintopo2 esk1_0 esk6_0)) = (k10_fintopo2 esk1_0 (k9_subset_1 (u1_struct_0 esk1_0) esk5_0 esk6_0))False)(∀X1, (m1_subset_1 esk6_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 esk1_0))r2_hidden X1 (k6_fintopo2 esk1_0 esk2_0)r1_tarski X1 (k9_subset_1 (u1_struct_0 esk1_0) esk3_0 esk4_0)False)(∀X1, (m1_subset_1 esk5_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 esk1_0))r2_hidden X1 (k6_fintopo2 esk1_0 esk2_0)r1_tarski X1 (k9_subset_1 (u1_struct_0 esk1_0) esk3_0 esk4_0)False)(∀X1 X2 X3, (X2 = X3False)(r2_hidden (esk28_3 X1 X2 X3) X3False)(r2_hidden (esk28_3 X1 X2 X3) X2False)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X3 X2 X1, (v2_struct_0 X1False)(r2_hidden (esk26_3 X1 X2 X3) (k6_fintopo2 X1 X2)False)l1_fintopo2 X1m1_subset_1 X2 (u1_struct_0 X1)r2_hidden X2 (k10_fintopo2 X1 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_subset_1 (esk26_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_fintopo2 X1m1_subset_1 X2 (u1_struct_0 X1)r2_hidden X2 (k10_fintopo2 X1 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1, (m1_subset_1 (u1_fintopo2 X1) (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))))False)l1_fintopo2 X1False)(∀X3 X2 X1, (v2_struct_0 X1False)(r1_tarski (esk26_3 X1 X2 X3) X3False)l1_fintopo2 X1m1_subset_1 X2 (u1_struct_0 X1)r2_hidden X2 (k10_fintopo2 X1 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X5 X4 X1 X2, (v2_struct_0 X2False)(r2_hidden X3 (a_2_3_fintopo2 X2 X5)False)X1 = X3l1_fintopo2 X2r1_tarski X4 X5m1_subset_1 X1 (u1_struct_0 X2)r2_hidden X4 (k6_fintopo2 X2 X1)m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X4 X1 X2, (v2_struct_0 X2False)(r2_hidden X3 (k10_fintopo2 X2 X4)False)l1_fintopo2 X2r1_tarski X1 X4m1_subset_1 X3 (u1_struct_0 X2)r2_hidden X1 (k6_fintopo2 X2 X3)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, (v2_struct_0 X2False)(m1_subset_1 (esk13_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X2))False)l1_fintopo2 X2r2_hidden X1 (a_2_3_fintopo2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk8_3 X1 X2 X3) X3False)(r2_hidden (esk8_3 X1 X2 X3) X1False)False)(∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk8_3 X1 X2 X3) X3False)(r2_hidden (esk8_3 X1 X2 X3) X2False)False)(∀X1 X3 X2, (v2_struct_0 X2False)(m1_subset_1 (esk12_3 X1 X2 X3) (u1_struct_0 X2)False)l1_fintopo2 X2r2_hidden X1 (a_2_3_fintopo2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, (v2_struct_0 X2False)(r1_tarski (esk13_3 X1 X2 X3) X3False)l1_fintopo2 X2r2_hidden X1 (a_2_3_fintopo2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X2 X3, (X2 = X3False)(m1_subset_1 (esk28_3 X1 X2 X3) X1False)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X3 X2, ((esk12_3 X1 X2 X3) = X1False)(v2_struct_0 X2False)l1_fintopo2 X2r2_hidden X1 (a_2_3_fintopo2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X2 X1, (m1_subset_1 (k9_subset_1 X2 X3 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X3 X2 X1, ((k9_subset_1 X2 X1 X3) = (k9_subset_1 X2 X3 X1)False)m1_subset_1 X1 (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)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k6_fintopo2 X1 X2) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)l1_fintopo2 X1m1_subset_1 X2 (u1_struct_0 X1)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)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k10_fintopo2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_fintopo2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1, (v1_funct_2 (u1_fintopo2 X1) (u1_struct_0 X1) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)l1_fintopo2 X1False)(∀X1 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk27_2 X3 X2)False)(∀X3 X2 X1, ((k9_subset_1 X2 X3 X1) = (k3_xboole_0 X3 X1)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, ((a_2_3_fintopo2 X1 X2) = (k10_fintopo2 X1 X2)False)(v2_struct_0 X1False)l1_fintopo2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, ((k9_subset_1 X2 X3 X3) = X3False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X3 X2 X1, (r1_tarski X1 (k3_xboole_0 X2 X3)False)r1_tarski X1 X3r1_tarski X1 X2False)(∀X2 X3 X1 X4, (r2_hidden X1 X4False)X4 = (k3_xboole_0 X2 X3)r2_hidden X1 X3r2_hidden X1 X2False)(∀X1 X2 X3, (v5_relat_1 (k3_xboole_0 X1 X3) X2False)v1_relat_1 X3v1_relat_1 X1v5_relat_1 X1 X2False)(∀X1 X2 X3, (v4_relat_1 (k3_xboole_0 X1 X3) X2False)v1_relat_1 X3v1_relat_1 X1v4_relat_1 X1 X2False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (r2_hidden (esk27_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)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)X3 = (k3_xboole_0 X2 X4)r2_hidden X1 X3False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)X3 = (k3_xboole_0 X4 X2)r2_hidden X1 X3False)(∀X2 X1 X3, (r1_tarski X1 X3False)r1_tarski X2 X3r1_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)((m1_subset_1 esk6_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(r2_hidden esk4_0 (k6_fintopo2 esk1_0 esk2_0)False)False)((m1_subset_1 esk6_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(r2_hidden esk3_0 (k6_fintopo2 esk1_0 esk2_0)False)False)((m1_subset_1 esk5_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(r2_hidden esk4_0 (k6_fintopo2 esk1_0 esk2_0)False)False)((m1_subset_1 esk5_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(r2_hidden esk3_0 (k6_fintopo2 esk1_0 esk2_0)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_xboole_0 (k2_zfmisc_1 X1 X2)False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)((m1_subset_1 esk4_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(m1_subset_1 esk6_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)((m1_subset_1 esk4_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(m1_subset_1 esk5_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(m1_subset_1 esk6_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(m1_subset_1 esk5_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)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)(∀X1 X2, (v1_zfmisc_1 X2False)v1_zfmisc_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)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)(m1_subset_1 esk6_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)(m1_subset_1 esk5_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, v2_struct_0 X1l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 k1_xboole_0False)(∀X1, (v2_struct_0 X1False)(v13_struct_0 X1 np__1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk25_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, (v1_xboole_0 X1False)(m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v1_finset_1 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk18_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk22_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk17_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk23_1 X1) X1False)False)(∀X1, (v1_finset_1 (u1_struct_0 X1)False)l1_struct_0 X1v8_struct_0 X1False)(∀X1, (v1_zfmisc_1 (u1_struct_0 X1)False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v1_xboole_0 (u1_struct_0 X1)False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk17_1 X1)False)l1_struct_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk25_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk24_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk15_1 X1)False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v7_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_funct_1 (u1_fintopo2 X1)False)l1_fintopo2 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk24_1 X1)False)False)(∀X1, (l1_struct_0 X1False)l1_fintopo2 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(∀X1, v1_subset_1 (esk21_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk20_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk1_0False)(∀X2 X1, (m1_subset_1 (esk14_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (v5_relat_1 (esk14_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk14_2 X1 X2) X1False)False)(∀X1 X2, (r1_tarski (k3_xboole_0 X1 X2) X1False)False)(∀X1 X2, (v1_xboole_0 (esk14_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk14_2 X1 X2)False)False)(∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1)False)False)(∀X1, (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk11_1 X1) X1False)False)(∀X1, ((k3_xboole_0 X1 X1) = X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0False)False)(∀X1, (v1_xboole_0 (esk19_1 X1)False)False)((v1_xboole_0 esk16_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l1_struct_0 esk10_0False)False)((l1_fintopo2 esk9_0False)False)((l1_fintopo2 esk1_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.