Theorem. (t75_tsep_1)
∀r1_tarski : setsetprop, ∀v4_pre_topc : setsetprop, ∀esk6_3 : setsetsetset, ∀esk7_3 : setsetsetset, ∀esk4_0 : set, ∀esk5_0 : set, ∀k3_xboole_0 : setsetset, ∀v1_pre_topc : setprop, ∀esk35_2 : setsetset, ∀v1_xboole_0 : setprop, ∀g1_pre_topc : setsetset, ∀l1_struct_0 : setprop, ∀r2_hidden : setsetprop, ∀esk32_1 : setset, ∀esk34_1 : setset, ∀esk23_1 : setset, ∀esk12_1 : setset, ∀esk28_1 : setset, ∀esk21_1 : setset, ∀k1_xboole_0 : set, ∀esk15_1 : setset, ∀v1_zfmisc_1 : setprop, ∀esk10_1 : setset, ∀v6_pre_topc : setprop, ∀esk24_0 : set, ∀esk22_0 : set, ∀esk11_1 : setset, ∀esk14_0 : set, ∀esk8_0 : set, ∀esk13_0 : set, ∀esk16_0 : set, ∀esk9_0 : set, ∀esk18_0 : set, ∀esk25_1 : setset, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀esk27_1 : setset, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀esk29_1 : setset, ∀esk30_1 : setset, ∀esk19_1 : setset, ∀esk20_1 : setset, ∀v7_struct_0 : setprop, ∀esk17_1 : setset, ∀esk31_1 : setset, ∀esk26_1 : setset, ∀esk33_1 : setset, ∀u1_pre_topc : setset, ∀v2_tops_1 : setsetprop, ∀v3_tops_1 : setsetprop, ∀v3_pre_topc : setsetprop, ∀k2_xboole_0 : setsetset, ∀esk3_0 : set, ∀k2_tsep_1 : setsetsetset, ∀k1_tsep_1 : setsetsetset, ∀r1_tsep_1 : setsetprop, ∀r3_tsep_1 : setsetsetprop, ∀esk2_0 : set, ∀v1_borsuk_1 : setsetprop, ∀m1_pre_topc : setsetprop, ∀esk1_0 : set, ∀v2_struct_0 : setprop, ∀r1_xboole_0 : setsetprop, ∀k9_subset_1 : setsetsetset, ∀esk37_3 : setsetsetset, ∀esk36_3 : setsetsetset, ∀k4_subset_1 : setsetsetset, ∀l1_pre_topc : setprop, ∀u1_struct_0 : setset, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀r1_connsp_1 : setsetsetprop, ∀v2_pre_topc : setprop, (∀X3 X2 X1, (r1_xboole_0 (k9_subset_1 (u1_struct_0 X1) (esk36_3 X1 X2 X3) (esk37_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 X2v4_pre_topc X3 X2v4_pre_topc X1 X2r1_tarski X5 X3r1_tarski X4 X1m1_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)(∀X1 X2, (v2_struct_0 X2False)(v2_struct_0 X1False)m1_pre_topc X2 esk1_0m1_pre_topc X1 esk1_0v1_borsuk_1 X2 esk1_0v1_borsuk_1 X1 esk1_0m1_pre_topc esk2_0 X1m1_pre_topc esk3_0 X2r3_tsep_1 esk1_0 esk2_0 esk3_0r1_tsep_1 (k2_tsep_1 esk1_0 X1 X2) (k1_tsep_1 esk1_0 esk2_0 esk3_0)False)(∀X3 X2 X1, (r3_tsep_1 X1 X2 X3False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1r1_connsp_1 X1 (esk6_3 X1 X2 X3) (esk7_3 X1 X2 X3)False)(∀X3 X2 X1, (m1_subset_1 (esk37_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 (esk36_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, (v4_pre_topc (esk37_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 (esk36_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 (esk37_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 (esk36_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 X5 X4 X1, (r1_connsp_1 X1 X4 X5False)X5 = (u1_struct_0 X3)X4 = (u1_struct_0 X2)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1r3_tsep_1 X1 X2 X3m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)((r1_tsep_1 esk4_0 esk5_0False)(r3_tsep_1 esk1_0 esk2_0 esk3_0False)(r1_tsep_1 (k2_tsep_1 esk1_0 esk4_0 esk5_0) (k1_tsep_1 esk1_0 esk2_0 esk3_0)False)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, (r3_tsep_1 X1 X2 X3False)(m1_subset_1 (esk7_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1False)(∀X2 X3 X1, (r3_tsep_1 X1 X2 X3False)(m1_subset_1 (esk6_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1False)(∀X2 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1v2_struct_0 (k1_tsep_1 X1 X2 X3)False)(∀X2 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1v2_struct_0 (k2_tsep_1 X1 X2 X3)False)(∀X2 X3 X4 X1, ((u1_struct_0 X1) = (k3_xboole_0 (u1_struct_0 X3) (u1_struct_0 X4))False)(v2_struct_0 X4False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(r1_tsep_1 X3 X4False)X1 = (k2_tsep_1 X2 X3 X4)l1_pre_topc X2v1_pre_topc X1m1_pre_topc X4 X2m1_pre_topc X3 X2m1_pre_topc X1 X2False)(∀X1 X2, (v2_struct_0 X2False)(v2_struct_0 X1False)r1_tsep_1 X1 X2m1_pre_topc X2 esk1_0m1_pre_topc X1 esk1_0v1_borsuk_1 X2 esk1_0v1_borsuk_1 X1 esk1_0m1_pre_topc esk2_0 X1m1_pre_topc esk3_0 X2r3_tsep_1 esk1_0 esk2_0 esk3_0False)(∀X3 X1 X2 X4, (X1 = (k2_tsep_1 X4 X2 X3)False)(v2_struct_0 X4False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(r1_tsep_1 X2 X3False)(u1_struct_0 X1) = (k3_xboole_0 (u1_struct_0 X2) (u1_struct_0 X3))l1_pre_topc X4v1_pre_topc X1m1_pre_topc X3 X4m1_pre_topc X2 X4m1_pre_topc X1 X4False)(∀X2 X3 X4 X1, ((u1_struct_0 X1) = (k2_xboole_0 (u1_struct_0 X3) (u1_struct_0 X4))False)(v2_struct_0 X4False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)X1 = (k1_tsep_1 X2 X3 X4)l1_pre_topc X2v1_pre_topc X1m1_pre_topc X4 X2m1_pre_topc X3 X2m1_pre_topc X1 X2False)(∀X3 X1 X2 X4, (X1 = (k1_tsep_1 X4 X2 X3)False)(v2_struct_0 X4False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(u1_struct_0 X1) = (k2_xboole_0 (u1_struct_0 X2) (u1_struct_0 X3))l1_pre_topc X4v1_pre_topc X1m1_pre_topc X3 X4m1_pre_topc X2 X4m1_pre_topc X1 X4False)(∀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)(∀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)(∀X3 X2 X1, (r3_tsep_1 X1 X3 X2False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1r3_tsep_1 X1 X2 X3False)(∀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)(∀X2 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(m1_pre_topc (k1_tsep_1 X1 X2 X3) X1False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1False)(∀X2 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(m1_pre_topc (k2_tsep_1 X1 X2 X3) X1False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1False)(∀X2 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(v1_pre_topc (k1_tsep_1 X1 X2 X3)False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1False)(∀X2 X1 X3, (v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)(v1_pre_topc (k2_tsep_1 X1 X2 X3)False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1False)(∀X2 X1 X3, ((k1_tsep_1 X1 X2 X3) = (k1_tsep_1 X1 X3 X2)False)(v2_struct_0 X3False)(v2_struct_0 X2False)(v2_struct_0 X1False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1False)(∀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 X3 X1, ((esk7_3 X1 X2 X3) = (u1_struct_0 X3)False)(r3_tsep_1 X1 X2 X3False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1False)(∀X2 X3 X1, ((esk6_3 X1 X2 X3) = (u1_struct_0 X2)False)(r3_tsep_1 X1 X2 X3False)l1_pre_topc X1m1_pre_topc X3 X1m1_pre_topc X2 X1False)(∀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)(∀X2 X1, (v2_struct_0 X1False)(v1_xboole_0 X2False)v2_pre_topc X1l1_pre_topc X1v4_pre_topc X2 X1v2_struct_0 (esk35_2 X1 X2)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))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, (v2_struct_0 X1False)(v1_xboole_0 X2False)(v1_borsuk_1 (esk35_2 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, (v2_struct_0 X1False)(v1_xboole_0 X2False)(m1_pre_topc (esk35_2 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)(∀X1 X3 X2, (v4_pre_topc X3 X2False)X3 = (u1_struct_0 X1)v2_pre_topc X2l1_pre_topc X2m1_pre_topc X1 X2v1_borsuk_1 X1 X2m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X1 X2, (v1_borsuk_1 X1 X2False)X3 = (u1_struct_0 X1)v2_pre_topc X2l1_pre_topc X2m1_pre_topc X1 X2v4_pre_topc X3 X2m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))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)(∀X1 X2, ((u1_struct_0 (esk35_2 X2 X1)) = X1False)(v2_struct_0 X2False)(v1_xboole_0 X1False)v2_pre_topc X2l1_pre_topc X2v4_pre_topc X1 X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, (v2_struct_0 X1False)(v1_xboole_0 X2False)(v1_pre_topc (esk35_2 X1 X2)False)v2_pre_topc X1l1_pre_topc X1v4_pre_topc X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))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)(∀X3 X1 X2, (m1_pre_topc X1 X2False)v2_pre_topc X3l1_pre_topc X3m1_pre_topc X2 X3m1_pre_topc X1 X3r1_tarski (u1_struct_0 X1) (u1_struct_0 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)(∀X3 X1 X2, (r1_tarski (u1_struct_0 X1) (u1_struct_0 X2)False)v2_pre_topc X3l1_pre_topc X3m1_pre_topc X2 X3m1_pre_topc X1 X3m1_pre_topc X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)v2_struct_0 (g1_pre_topc X1 X2)m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))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, ((k9_subset_1 X2 X3 X1) = (k3_xboole_0 X3 X1)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X3 X4 X1 X2, (X1 = X2False)(g1_pre_topc X1 X3) = (g1_pre_topc X2 X4)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X3 X4 X1 X2, (X1 = X2False)(g1_pre_topc X3 X1) = (g1_pre_topc X4 X2)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X3))False)(∀X1, (v2_struct_0 X1False)l1_pre_topc X1v2_struct_0 (g1_pre_topc (u1_struct_0 X1) (u1_pre_topc X1))False)(∀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, (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)(∀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, (v1_xboole_0 X1False)(v1_pre_topc (g1_pre_topc X1 X2)False)m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2, (v1_pre_topc (g1_pre_topc X1 X2)False)m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2, (l1_pre_topc (g1_pre_topc X1 X2)False)m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀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)(∀X1 X2, (r1_tsep_1 X1 X2False)l1_struct_0 X2l1_struct_0 X1r1_xboole_0 (u1_struct_0 X1) (u1_struct_0 X2)False)(∀X1, (m1_subset_1 (u1_pre_topc X1) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)l1_pre_topc X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1, (v1_pre_topc (g1_pre_topc (u1_struct_0 X1) (u1_pre_topc X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_pre_topc (g1_pre_topc (u1_struct_0 X1) (u1_pre_topc X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X2 X1, (m1_subset_1 (u1_struct_0 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1m1_pre_topc X2 X1False)(∀X1, (v2_struct_0 X1False)(v1_pre_topc (g1_pre_topc (u1_struct_0 X1) (u1_pre_topc X1))False)l1_pre_topc X1False)(∀X1 X2, (r1_xboole_0 (u1_struct_0 X1) (u1_struct_0 X2)False)l1_struct_0 X2l1_struct_0 X1r1_tsep_1 X1 X2False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)((v1_borsuk_1 esk5_0 esk1_0False)(r3_tsep_1 esk1_0 esk2_0 esk3_0False)False)((v1_borsuk_1 esk4_0 esk1_0False)(r3_tsep_1 esk1_0 esk2_0 esk3_0False)False)((m1_pre_topc esk5_0 esk1_0False)(r3_tsep_1 esk1_0 esk2_0 esk3_0False)False)((m1_pre_topc esk4_0 esk1_0False)(r3_tsep_1 esk1_0 esk2_0 esk3_0False)False)((m1_pre_topc esk3_0 esk5_0False)(r3_tsep_1 esk1_0 esk2_0 esk3_0False)False)((m1_pre_topc esk2_0 esk4_0False)(r3_tsep_1 esk1_0 esk2_0 esk3_0False)False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk33_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk32_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)((r3_tsep_1 esk1_0 esk2_0 esk3_0False)v2_struct_0 esk5_0False)((r3_tsep_1 esk1_0 esk2_0 esk3_0False)v2_struct_0 esk4_0False)(∀X1, (m1_subset_1 (esk34_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk31_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk23_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 (esk12_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 X2, (r1_tsep_1 X2 X1False)l1_struct_0 X2l1_struct_0 X1r1_tsep_1 X1 X2False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v2_tops_1 (esk32_1 X1) X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, (m1_subset_1 (esk30_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc 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, ((g1_pre_topc (u1_struct_0 X1) (u1_pre_topc X1)) = X1False)l1_pre_topc X1v1_pre_topc X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1 X2, (v2_pre_topc X2False)v2_pre_topc X1l1_pre_topc X1m1_pre_topc X2 X1False)(∀X1, (v2_struct_0 X1False)(v4_pre_topc (esk33_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v4_pre_topc (esk26_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v3_pre_topc (esk26_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v1_borsuk_1 (esk21_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(m1_pre_topc (esk21_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀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)(∀X2 X1, ((k3_xboole_0 X1 X2) = k1_xboole_0False)r1_xboole_0 X1 X2False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk33_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk32_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk26_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v2_struct_0 (esk21_1 X1)False)(∀X1, (v3_tops_1 (esk34_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (esk31_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (esk23_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (esk23_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (esk17_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (esk12_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v1_borsuk_1 (esk15_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_pre_topc (esk29_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_pre_topc (esk15_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, v2_struct_0 X1l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1 X2, (l1_pre_topc X2False)l1_pre_topc X1m1_pre_topc X2 X1False)(∀X1, (v2_struct_0 X1False)(m1_pre_topc (esk27_1 X1) X1False)l1_pre_topc X1False)(∀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, v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (u1_pre_topc X1)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v2_struct_0 X1False)(v1_pre_topc (esk21_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v2_pre_topc (esk21_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(∀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 (esk20_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 (esk28_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk19_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)l1_pre_topc X1v2_struct_0 (esk27_1 X1)False)(∀X1, (v2_tops_1 (esk30_1 X1) X1False)l1_pre_topc X1False)(∀X1, (m1_pre_topc (esk25_1 X1) X1False)l1_pre_topc X1False)(∀X1, (m1_pre_topc (esk10_1 X1) X1False)l1_pre_topc X1False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)v2_struct_0 X1l1_struct_0 X1False)(∀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, (v1_pre_topc (esk29_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v1_pre_topc (esk15_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_pre_topc (esk29_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_pre_topc (esk15_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk19_1 X1)False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_pre_topc (esk27_1 X1)False)l1_pre_topc X1False)(∀X1, (X1 = k1_xboole_0False)r1_tarski X1 k1_xboole_0False)(∀X1, (v6_pre_topc X1False)v2_struct_0 X1l1_pre_topc X1False)(∀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_pre_topc (esk25_1 X1)False)l1_pre_topc X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (l1_struct_0 X1False)l1_pre_topc X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(v1_xboole_0 esk24_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk22_0False)(v2_struct_0 esk3_0False)(v2_struct_0 esk2_0False)(v2_struct_0 esk1_0False)(∀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)(∀X1, (m1_subset_1 (esk11_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, ((k2_xboole_0 X1 k1_xboole_0) = X1False)False)(∀X1, (r1_xboole_0 X1 k1_xboole_0False)False)(∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0False)False)((m1_pre_topc esk3_0 esk1_0False)False)((m1_pre_topc esk2_0 esk1_0False)False)((v1_xboole_0 esk18_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l1_struct_0 esk9_0False)False)((v1_pre_topc esk22_0False)False)((v1_pre_topc esk16_0False)False)((v1_pre_topc esk14_0False)False)((v1_pre_topc esk13_0False)False)((l1_pre_topc esk22_0False)False)((l1_pre_topc esk16_0False)False)((l1_pre_topc esk14_0False)False)((l1_pre_topc esk13_0False)False)((l1_pre_topc esk8_0False)False)((l1_pre_topc esk1_0False)False)((v2_pre_topc esk22_0False)False)((v2_pre_topc esk14_0False)False)((v2_pre_topc esk1_0False)False)((v2_struct_0 esk14_0False)False)((v2_struct_0 esk13_0False)False)False
Proof:
The rest of the proof is missing.