Theorem. (t54_tsep_1)
∀v2_pre_topc : setprop, ∀r1_connsp_1 : setsetsetprop, ∀l1_pre_topc : setprop, ∀esk21_3 : setsetsetset, ∀esk22_3 : setsetsetset, ∀r1_xboole_0 : setsetprop, ∀k7_subset_1 : setsetsetset, ∀esk5_0 : set, ∀esk20_3 : setsetsetset, ∀k3_subset_1 : setsetset, ∀k3_xboole_0 : setsetset, ∀k5_subset_1 : setsetsetset, ∀k4_xboole_0 : setsetset, ∀l1_struct_0 : setprop, ∀k2_struct_0 : setset, ∀esk18_1 : setset, ∀esk13_1 : setset, ∀esk10_1 : setset, ∀esk15_1 : setset, ∀k1_struct_0 : setset, ∀esk12_0 : set, ∀esk7_0 : set, ∀esk8_0 : set, ∀esk9_1 : setset, ∀esk14_0 : set, ∀k1_xboole_0 : set, ∀esk16_1 : setset, ∀v1_subset_1 : setsetprop, ∀esk11_1 : setset, ∀esk17_1 : setset, ∀r2_hidden : setsetprop, ∀v1_xboole_0 : setprop, ∀v2_tops_1 : setsetprop, ∀v3_tops_1 : setsetprop, ∀v1_tops_1 : setsetprop, ∀k2_xboole_0 : setsetset, ∀esk19_3 : setsetsetset, ∀esk4_0 : set, ∀esk6_0 : set, ∀v4_pre_topc : setsetprop, ∀v3_pre_topc : setsetprop, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀r1_tarski : setsetprop, ∀k9_subset_1 : setsetsetset, ∀esk2_0 : set, ∀esk3_0 : set, ∀r2_tsep_1 : setsetsetprop, ∀k4_subset_1 : setsetsetset, ∀esk1_0 : set, ∀u1_struct_0 : setset, (∀X1 X3 X2, (k4_subset_1 (u1_struct_0 esk1_0) (k4_subset_1 (u1_struct_0 esk1_0) X1 X2) X3) = (u1_struct_0 esk1_0)v4_pre_topc X2 esk1_0v4_pre_topc X1 esk1_0v3_pre_topc X3 esk1_0r2_tsep_1 esk1_0 esk2_0 esk3_0m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 esk1_0))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 esk1_0))r1_tarski (k9_subset_1 (u1_struct_0 esk1_0) X2 (k4_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0)) esk3_0r1_tarski (k9_subset_1 (u1_struct_0 esk1_0) X1 (k4_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0)) esk2_0r1_tarski (k9_subset_1 (u1_struct_0 esk1_0) X3 (k4_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0)) (k9_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0)False)(∀X3 X2 X1, (r1_xboole_0 (k9_subset_1 (u1_struct_0 X1) (esk21_3 X1 X2 X3) (esk22_3 X1 X2 X3)) (k4_subset_1 (u1_struct_0 X1) X2 X3)False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X1 X5 X4 X2, (r1_connsp_1 X2 X4 X5False)v2_pre_topc X2l1_pre_topc X2r1_tarski X5 X3r1_tarski X4 X1v4_pre_topc X3 X2v4_pre_topc X1 X2m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))r1_xboole_0 (k9_subset_1 (u1_struct_0 X2) X1 X3) (k4_subset_1 (u1_struct_0 X2) X4 X5)False)(∀X3 X2 X1, (r2_tsep_1 X1 X2 X3False)l1_pre_topc X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))r1_connsp_1 X1 (k7_subset_1 (u1_struct_0 X1) X2 X3) (k7_subset_1 (u1_struct_0 X1) X3 X2)False)((r2_tsep_1 esk1_0 esk2_0 esk3_0False)(r1_tarski (k9_subset_1 (u1_struct_0 esk1_0) esk6_0 (k4_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0)) (k9_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0)False)False)(∀X2 X3 X1, (r1_connsp_1 X1 (k7_subset_1 (u1_struct_0 X1) X2 X3) (k7_subset_1 (u1_struct_0 X1) X3 X2)False)l1_pre_topc X1r2_tsep_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X1 X5 X4 X2, (r1_connsp_1 X2 X4 X5False)v2_pre_topc X2l1_pre_topc X2r1_tarski X5 X3r1_tarski X4 X1v4_pre_topc X3 X2v4_pre_topc X1 X2r1_xboole_0 X3 X4r1_xboole_0 X1 X5m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)((r2_tsep_1 esk1_0 esk2_0 esk3_0False)(r1_tarski (k9_subset_1 (u1_struct_0 esk1_0) esk5_0 (k4_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0)) esk3_0False)False)((r2_tsep_1 esk1_0 esk2_0 esk3_0False)(r1_tarski (k9_subset_1 (u1_struct_0 esk1_0) esk4_0 (k4_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0)) esk2_0False)False)(∀X3 X2 X1, (m1_subset_1 (esk22_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (m1_subset_1 (esk21_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (m1_subset_1 (esk20_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (m1_subset_1 (esk19_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (r1_xboole_0 (esk20_3 X1 X2 X3) X2False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (r1_xboole_0 (esk19_3 X1 X2 X3) X3False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v4_pre_topc (esk22_3 X1 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v4_pre_topc (esk21_3 X1 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v4_pre_topc (esk20_3 X1 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v4_pre_topc (esk19_3 X1 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X1 X2, (r1_tarski X1 (esk22_3 X2 X3 X1)False)v2_pre_topc X2l1_pre_topc X2r1_connsp_1 X2 X3 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X1 X2, (r1_tarski X1 (esk21_3 X2 X1 X3)False)v2_pre_topc X2l1_pre_topc X2r1_connsp_1 X2 X1 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X1 X2, (r1_tarski X1 (esk20_3 X2 X3 X1)False)v2_pre_topc X2l1_pre_topc X2r1_connsp_1 X2 X3 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X1 X2, (r1_tarski X1 (esk19_3 X2 X1 X3)False)v2_pre_topc X2l1_pre_topc X2r1_connsp_1 X2 X1 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X2 X1, ((k4_subset_1 X2 (k3_subset_1 X2 X1) X3) = (k3_subset_1 X2 (k7_subset_1 X2 X1 X3))False)m1_subset_1 X3 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X3 X1, (r1_connsp_1 X1 X3 X2False)l1_pre_topc X1r1_connsp_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (r2_tsep_1 X1 X3 X2False)l1_pre_topc X1r2_tsep_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(((k4_subset_1 (u1_struct_0 esk1_0) (k4_subset_1 (u1_struct_0 esk1_0) esk4_0 esk5_0) esk6_0) = (u1_struct_0 esk1_0)False)(r2_tsep_1 esk1_0 esk2_0 esk3_0False)False)(∀X2 X3 X1, (v3_pre_topc (k3_xboole_0 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1v3_pre_topc X3 X1v3_pre_topc X2 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v3_pre_topc (k2_xboole_0 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1v3_pre_topc X3 X1v3_pre_topc X2 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v4_pre_topc (k3_xboole_0 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1v4_pre_topc X3 X1v4_pre_topc X2 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v4_pre_topc (k2_xboole_0 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1v4_pre_topc X3 X1v4_pre_topc X2 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (m1_subset_1 (k5_subset_1 X2 X1 X3) (k1_zfmisc_1 X2)False)m1_subset_1 X3 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X3 X2 X1, (m1_subset_1 (k4_subset_1 X2 X1 X3) (k1_zfmisc_1 X2)False)m1_subset_1 X3 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X3 X2 X1, ((k5_subset_1 X2 X1 X3) = (k2_xboole_0 (k4_xboole_0 X1 X3) (k4_xboole_0 X3 X1))False)m1_subset_1 X3 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1 X3 X2, (r1_tarski X3 X2False)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)r1_tarski (k3_subset_1 X1 X2) (k3_subset_1 X1 X3)False)(∀X3 X2 X1, ((k5_subset_1 X2 X1 X3) = (k5_subset_1 X2 X3 X1)False)m1_subset_1 X3 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X3 X2 X1, ((k4_subset_1 X2 X1 X3) = (k4_subset_1 X2 X3 X1)False)m1_subset_1 X3 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, ((k4_subset_1 (u1_struct_0 X1) X2 (k3_subset_1 (u1_struct_0 X1) X2)) = (k2_struct_0 X1)False)l1_struct_0 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (m1_subset_1 (k7_subset_1 X2 X1 X3) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 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 X1 X2, (r1_tarski (k3_subset_1 X3 X2) (k3_subset_1 X3 X1)False)r1_tarski X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)m1_subset_1 X1 (k1_zfmisc_1 X3)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)(∀X2 X1, (v1_tops_1 (k3_subset_1 (u1_struct_0 X1) X2) X1False)v2_pre_topc X1l1_pre_topc X1v3_tops_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v3_pre_topc (k3_subset_1 (u1_struct_0 X1) X2) X1False)v2_pre_topc X1l1_pre_topc X1v4_pre_topc X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v4_pre_topc (k3_subset_1 (u1_struct_0 X1) X2) X1False)v2_pre_topc X1l1_pre_topc X1v3_pre_topc X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, ((k4_subset_1 X2 X1 X3) = (k2_xboole_0 X1 X3)False)m1_subset_1 X3 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (v3_tops_1 X2 X1False)v2_pre_topc X1l1_pre_topc X1v4_pre_topc X2 X1v2_tops_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, ((k4_subset_1 X2 X1 X1) = X1False)m1_subset_1 X3 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1 X2, (v1_xboole_0 X2False)v2_pre_topc X1l1_pre_topc X1v3_pre_topc X2 X1v3_tops_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X4 X3 X2 X1, (r1_tarski (k4_xboole_0 X1 X4) (k4_xboole_0 X2 X3)False)r1_tarski X3 X4r1_tarski X1 X2False)(∀X4 X3 X2 X1, (r1_tarski (k3_xboole_0 X1 X3) (k3_xboole_0 X2 X4)False)r1_tarski X3 X4r1_tarski X1 X2False)(∀X4 X3 X2 X1, (r1_tarski (k2_xboole_0 X1 X3) (k2_xboole_0 X2 X4)False)r1_tarski X3 X4r1_tarski X1 X2False)(∀X1 X3 X2, (r1_tarski (k4_xboole_0 X1 X2) X3False)r1_tarski X1 (k2_xboole_0 X2 X3)False)(∀X2 X1, (v2_tops_1 X2 X1False)v2_pre_topc X1l1_pre_topc X1v3_tops_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, ((k7_subset_1 X2 X1 X3) = (k4_xboole_0 X1 X3)False)m1_subset_1 X1 (k1_zfmisc_1 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)(∀X3 X2 X1, (r1_tarski (k3_xboole_0 X1 X3) (k3_xboole_0 X2 X3)False)r1_tarski X1 X2False)(∀X3 X2 X1, ((k9_subset_1 X2 X3 X3) = X3False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (v3_tops_1 X2 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v3_pre_topc X2 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v4_pre_topc X2 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (r1_tarski (k2_xboole_0 X1 X3) X2False)r1_tarski X3 X2r1_tarski X1 X2False)(∀X2 X1, (v2_tops_1 X2 X1False)l1_pre_topc X1v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (m1_subset_1 (k3_subset_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)((r2_tsep_1 esk1_0 esk2_0 esk3_0False)(m1_subset_1 esk6_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)((r2_tsep_1 esk1_0 esk2_0 esk3_0False)(m1_subset_1 esk5_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)((r2_tsep_1 esk1_0 esk2_0 esk3_0False)(m1_subset_1 esk4_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)(∀X2 X1, ((k3_subset_1 X2 (k3_subset_1 X2 X1)) = X1False)m1_subset_1 X1 (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 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)((v3_pre_topc esk6_0 esk1_0False)(r2_tsep_1 esk1_0 esk2_0 esk3_0False)False)((v4_pre_topc esk5_0 esk1_0False)(r2_tsep_1 esk1_0 esk2_0 esk3_0False)False)((v4_pre_topc esk4_0 esk1_0False)(r2_tsep_1 esk1_0 esk2_0 esk3_0False)False)(∀X2 X1, ((k3_subset_1 X2 X1) = (k4_xboole_0 X2 X1)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1 X3, (r1_tarski X1 X3False)r1_tarski X2 X3r1_tarski X1 X2False)(∀X1, (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk11_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk10_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc 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, l1_struct_0 X1v1_subset_1 (k2_struct_0 X1) (u1_struct_0 X1)False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1False)(∀X1, (m1_subset_1 (k2_struct_0 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (m1_subset_1 (k1_struct_0 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀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, ((k2_xboole_0 X1 X2) = X2False)r1_tarski X1 X2False)(∀X2 X1, (r1_xboole_0 X2 X1False)r1_xboole_0 X1 X2False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1 X2, (r1_xboole_0 X1 X2False)(k3_xboole_0 X1 X2) = k1_xboole_0False)(∀X1 X2, (r1_tarski X1 X2False)(k4_xboole_0 X1 X2) = k1_xboole_0False)(∀X2 X1, ((k4_xboole_0 X1 X2) = k1_xboole_0False)r1_tarski X1 X2False)(∀X2 X1, ((k3_xboole_0 X1 X2) = k1_xboole_0False)r1_xboole_0 X1 X2False)(∀X1, (v3_tops_1 (esk18_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (esk13_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (esk11_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (esk10_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (k2_struct_0 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (esk17_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (esk13_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (k2_struct_0 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v1_tops_1 (esk15_1 X1) X1False)l1_pre_topc X1False)(∀X1, (v1_tops_1 (k2_struct_0 X1) X1False)l1_pre_topc X1False)(∀X1, (v2_tops_1 (esk16_1 X1) X1False)l1_pre_topc X1False)(∀X1, (v1_xboole_0 (k1_struct_0 X1)False)l1_struct_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, ((k2_struct_0 X1) = (u1_struct_0 X1)False)l1_struct_0 X1False)(∀X1, (l1_struct_0 X1False)l1_pre_topc X1False)(∀X1, ((k1_struct_0 X1) = k1_xboole_0False)l1_struct_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(v1_xboole_0 esk14_0False)(∀X1 X2, ((k4_xboole_0 (k2_xboole_0 X1 X2) (k3_xboole_0 X1 X2)) = (k2_xboole_0 (k4_xboole_0 X1 X2) (k4_xboole_0 X2 X1))False)False)(∀X1 X2, ((k4_xboole_0 (k2_xboole_0 X1 X2) (k3_xboole_0 X1 X2)) = (k2_xboole_0 (k4_xboole_0 X1 X2) (k4_xboole_0 X2 X1))False)False)(∀X2 X1, ((k2_xboole_0 (k4_xboole_0 X1 X2) (k4_xboole_0 X2 X1)) = (k2_xboole_0 (k4_xboole_0 X2 X1) (k4_xboole_0 X1 X2))False)False)(∀X2 X3 X1, ((k4_xboole_0 (k3_xboole_0 X1 X2) (k3_xboole_0 X1 X3)) = (k3_xboole_0 X1 (k4_xboole_0 X2 X3))False)False)(∀X2 X3 X1, ((k2_xboole_0 (k3_xboole_0 X1 X2) (k3_xboole_0 X1 X3)) = (k3_xboole_0 X1 (k2_xboole_0 X2 X3))False)False)(∀X2 X3 X1, ((k3_xboole_0 (k3_xboole_0 X1 X2) X3) = (k3_xboole_0 X1 (k3_xboole_0 X2 X3))False)False)(∀X2 X3 X1, ((k2_xboole_0 (k2_xboole_0 X1 X2) X3) = (k2_xboole_0 X1 (k2_xboole_0 X2 X3))False)False)(∀X2 X3 X1, ((k4_xboole_0 (k3_xboole_0 X1 X2) X3) = (k3_xboole_0 X1 (k4_xboole_0 X2 X3))False)False)(∀X1, ((k2_xboole_0 (k4_xboole_0 X1 k1_xboole_0) (k4_xboole_0 k1_xboole_0 X1)) = X1False)False)(∀X1 X2, ((k4_xboole_0 X1 (k3_xboole_0 X1 X2)) = (k4_xboole_0 X1 X2)False)False)(∀X2 X1, (r1_xboole_0 (k4_xboole_0 X1 X2) X2False)False)(∀X1 X2, (r1_tarski (k3_xboole_0 X1 X2) X1False)False)(∀X1 X2, (r1_tarski X1 (k2_xboole_0 X1 X2)False)False)(∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1)False)False)(∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1)False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)(∀X1, (m1_subset_1 (esk9_1 X1) X1False)False)(∀X1, ((k3_xboole_0 X1 X1) = X1False)False)(∀X1, ((k2_xboole_0 X1 X1) = X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, ((k4_xboole_0 X1 k1_xboole_0) = X1False)False)(∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1False)False)(∀X1, ((k4_xboole_0 k1_xboole_0 X1) = k1_xboole_0False)False)(∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0False)False)((l1_struct_0 esk8_0False)False)((v1_xboole_0 esk12_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l1_pre_topc esk7_0False)False)((l1_pre_topc esk1_0False)False)((v2_pre_topc esk1_0False)False)False
Proof:
The rest of the proof is missing.