Theorem. (t14_connsp_2)
∀esk2_0 : set, ∀esk3_0 : set, ∀r2_hidden : setsetprop, ∀k1_connsp_1 : setsetset, ∀k1_tops_1 : setsetset, ∀esk1_0 : set, ∀r1_connsp_2 : setsetprop, ∀esk45_3 : setsetsetset, ∀esk4_1 : setset, ∀v2_connsp_1 : setsetprop, ∀esk6_2 : setsetset, ∀esk43_2 : setsetset, ∀v3_tops_1 : setsetprop, ∀v2_tops_1 : setsetprop, ∀v4_pre_topc : setsetprop, ∀k2_struct_0 : setset, ∀v1_pre_topc : setprop, ∀g1_pre_topc : setsetset, ∀esk40_1 : setset, ∀esk29_1 : setset, ∀esk37_1 : setset, ∀esk19_1 : setset, ∀v7_struct_0 : setprop, ∀esk22_1 : setset, ∀l1_struct_0 : setprop, ∀esk21_1 : setset, ∀esk33_1 : setset, ∀v1_zfmisc_1 : setprop, ∀esk34_1 : setset, ∀esk35_1 : setset, ∀esk18_1 : setset, ∀esk27_1 : setset, ∀v6_pre_topc : setprop, ∀esk24_1 : setset, ∀esk15_0 : set, ∀esk20_0 : set, ∀esk8_0 : set, ∀esk14_0 : set, ∀esk17_0 : set, ∀esk9_0 : set, ∀esk12_1 : setset, ∀esk23_0 : set, ∀esk26_0 : set, ∀esk28_1 : setset, ∀esk11_1 : setset, ∀v1_tops_1 : setsetprop, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀esk32_1 : setset, ∀esk38_1 : setset, ∀k1_xboole_0 : set, ∀esk30_1 : setset, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀esk16_1 : setset, ∀esk36_1 : setset, ∀esk31_1 : setset, ∀esk13_1 : setset, ∀esk25_1 : setset, ∀esk41_1 : setset, ∀esk39_1 : setset, ∀v1_subset_1 : setsetprop, ∀u1_pre_topc : setset, ∀esk10_2 : setsetset, ∀esk44_2 : setsetset, ∀esk42_2 : setsetset, ∀m1_pre_topc : setsetprop, ∀r1_tarski : setsetprop, ∀esk5_3 : setsetsetset, ∀esk7_3 : setsetsetset, ∀v3_connsp_1 : setsetprop, ∀r3_connsp_1 : setsetsetprop, ∀v1_xboole_0 : setprop, ∀v2_pre_topc : setprop, ∀v3_pre_topc : setsetprop, ∀k1_zfmisc_1 : setset, ∀k1_pre_topc : setsetset, ∀m1_subset_1 : setsetprop, ∀u1_struct_0 : setset, ∀l1_pre_topc : setprop, ∀m1_connsp_2 : setsetsetprop, ∀v2_struct_0 : setprop, (∀X2 X4 X3 X6 X5 X1, (v2_struct_0 X1False)(v1_xboole_0 X2False)(m1_connsp_2 X5 X1 X6False)X4 = X5X3 = X6v2_pre_topc X1l1_pre_topc X1v3_pre_topc X2 X1m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))m1_connsp_2 X4 (k1_pre_topc X1 X2) X3m1_subset_1 X3 (u1_struct_0 (k1_pre_topc X1 X2))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 (k1_pre_topc X1 X2)))False)(∀X2 X5 X6 X3 X4 X1, (v2_struct_0 X1False)(v1_xboole_0 X2False)(m1_connsp_2 X4 (k1_pre_topc X1 X2) X3False)X4 = X5X3 = X6v2_pre_topc X1l1_pre_topc X1m1_connsp_2 X5 X1 X6m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (u1_struct_0 (k1_pre_topc X1 X2))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 (k1_pre_topc X1 X2)))False)(∀X1 X4 X3 X2, (r3_connsp_1 X2 X3 X4False)X1 = X4l1_pre_topc X2v3_connsp_1 X1 (k1_pre_topc X2 X3)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 (k1_pre_topc X2 X3)))False)(∀X1, X1 = esk2_0r1_connsp_2 esk1_0 esk2_0m1_subset_1 X1 (u1_struct_0 (k1_pre_topc esk1_0 esk3_0))r2_hidden esk2_0 (k1_tops_1 (k1_pre_topc esk1_0 esk3_0) (k1_connsp_1 (k1_pre_topc esk1_0 esk3_0) X1))False)(∀X2 X3 X1, (m1_subset_1 (esk7_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 (k1_pre_topc X1 X2)))False)l1_pre_topc X1r3_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)(∀X4 X2 X3 X1, (v2_struct_0 X1False)(m1_connsp_2 X4 X1 X2False)v2_pre_topc X1l1_pre_topc X1r1_connsp_2 X1 X2r2_hidden X2 X4m1_connsp_2 X3 X1 X2r3_connsp_1 X1 X3 X4m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v2_struct_0 X1False)(m1_connsp_2 (esk5_3 X1 X2 X3) X1 X2False)v2_pre_topc X1l1_pre_topc X1r1_connsp_2 X1 X2m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)v1_xboole_0 (esk45_3 X1 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v2_struct_0 X1False)(m1_subset_1 (esk5_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1r1_connsp_2 X1 X2m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1, (v1_xboole_0 X1False)(r1_connsp_2 esk1_0 esk2_0False)(r2_hidden esk2_0 (k1_tops_1 (k1_pre_topc esk1_0 X1) (k1_connsp_1 (k1_pre_topc esk1_0 X1) (esk4_1 X1)))False)v3_pre_topc X1 esk1_0r2_hidden esk2_0 X1m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_connsp_2 (esk45_3 X1 X2 X3) X1 X2False)v2_pre_topc X1l1_pre_topc X1m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v3_connsp_1 (esk7_3 X1 X2 X3) (k1_pre_topc X1 X2)False)l1_pre_topc X1r3_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, (v2_struct_0 X1False)(r1_tarski (esk5_3 X1 X2 X3) X3False)v2_pre_topc X1l1_pre_topc X1r1_connsp_2 X1 X2m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v2_struct_0 X1False)(v2_connsp_1 (esk5_3 X1 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1r1_connsp_2 X1 X2m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_subset_1 (esk45_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v2_struct_0 X1False)(r1_tarski (esk45_3 X1 X2 X3) X3False)v2_pre_topc X1l1_pre_topc X1m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v2_struct_0 X1False)(v3_pre_topc (esk45_3 X1 X2 X3) X1False)v2_pre_topc X1l1_pre_topc X1m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X1 X2, (v2_struct_0 X2False)(r1_connsp_2 X2 X3False)v2_pre_topc X2l1_pre_topc X2v2_connsp_1 X1 X2m1_connsp_2 X1 X2 X3m1_subset_1 X3 (u1_struct_0 X2)r1_tarski X1 (esk6_2 X2 X3)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X3 X1, ((esk7_3 X1 X2 X3) = X3False)l1_pre_topc X1r3_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)(∀X1 X3 X2, (v2_struct_0 X2False)(r2_hidden X3 (k1_tops_1 X2 X1)False)v2_pre_topc X2l1_pre_topc X2m1_connsp_2 X1 X2 X3m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, (v2_struct_0 X2False)(m1_connsp_2 X3 X2 X1False)v2_pre_topc X2l1_pre_topc X2m1_subset_1 X1 (u1_struct_0 X2)r2_hidden X1 (k1_tops_1 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X3 X1, (v2_struct_0 X1False)(r2_hidden X3 X2False)v2_pre_topc X1l1_pre_topc X1m1_connsp_2 X2 X1 X3m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v2_struct_0 X1False)(m1_connsp_2 X2 X1 X3False)v2_pre_topc X1l1_pre_topc X1v3_pre_topc X2 X1r2_hidden X3 X2m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_struct_0 X1False)(r1_connsp_2 X1 X2False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)m1_connsp_2 (esk43_2 X1 X2) X1 X2False)(∀X1 X2 X3 X4, (v2_connsp_1 X3 X4False)X1 = X3v2_pre_topc X2l1_pre_topc X2v2_connsp_1 X1 X2m1_pre_topc X4 X2m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X4))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X2 X3 X4, (v2_connsp_1 X3 X4False)X1 = X3v2_pre_topc X4l1_pre_topc X4v2_connsp_1 X1 X2m1_pre_topc X2 X4m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X4))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, (v2_struct_0 X1False)(r1_connsp_2 X1 X2False)(r3_connsp_1 X1 (esk42_2 X1 X2) (esk43_2 X1 X2)False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v1_xboole_0 X1False)(r1_connsp_2 esk1_0 esk2_0False)(m1_subset_1 (esk4_1 X1) (u1_struct_0 (k1_pre_topc esk1_0 X1))False)v3_pre_topc X1 esk1_0r2_hidden esk2_0 X1m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)(∀X3 X2 X1, (v2_struct_0 X1False)(m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1m1_connsp_2 X3 X1 X2m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v2_struct_0 X1False)(r1_connsp_2 X1 X2False)(m1_connsp_2 (esk42_2 X1 X2) X1 X2False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v2_struct_0 X1False)(r1_connsp_2 X1 X2False)(m1_connsp_2 (esk6_2 X1 X2) X1 X2False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X1 X2, (v2_struct_0 X2False)(v3_connsp_1 X3 X2False)X3 = (k1_connsp_1 X2 X1)v2_pre_topc X2l1_pre_topc X2m1_subset_1 X1 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (esk44_2 X1 X2) (u1_struct_0 X1)False)v2_pre_topc X1l1_pre_topc X1v3_connsp_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X2, ((k1_connsp_1 X2 (esk44_2 X2 X1)) = X1False)(v2_struct_0 X2False)v2_pre_topc X2l1_pre_topc X2v3_connsp_1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, (v2_struct_0 X1False)(m1_connsp_2 (esk10_2 X1 X2) X1 X2False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (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)(∀X2 X1, (v2_struct_0 X1False)(r1_connsp_2 X1 X2False)(m1_subset_1 (esk43_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v2_struct_0 X1False)(r1_connsp_2 X1 X2False)(m1_subset_1 (esk42_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v2_struct_0 X1False)(r1_connsp_2 X1 X2False)(m1_subset_1 (esk6_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1 X3, ((k2_struct_0 X1) = X3False)X1 = (k1_pre_topc X2 X3)l1_pre_topc X2v1_pre_topc X1m1_pre_topc X1 X2m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, (m1_subset_1 (k1_tops_1 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))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)(∀X2 X1, (v2_struct_0 X1False)(v1_xboole_0 X2False)l1_pre_topc X1v2_struct_0 (k1_pre_topc X1 X2)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1m1_pre_topc X2 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, ((k1_tops_1 X1 (k1_tops_1 X1 X2)) = (k1_tops_1 X1 X2)False)l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X1 X2, (X1 = (k1_pre_topc X3 X2)False)(k2_struct_0 X1) = X2l1_pre_topc X3v1_pre_topc X1m1_pre_topc X1 X3m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X3))False)(∀X2 X1, (v1_xboole_0 (k1_tops_1 X1 X2)False)l1_pre_topc X1v2_tops_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v3_pre_topc (k1_tops_1 X1 X2) X1False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X2, (v2_struct_0 X2False)(r1_connsp_2 X2 X1False)(r2_hidden X1 (esk43_2 X2 X1)False)v2_pre_topc X2l1_pre_topc X2m1_subset_1 X1 (u1_struct_0 X2)False)(∀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)(∀X1, ((esk4_1 X1) = esk2_0False)(v1_xboole_0 X1False)(r1_connsp_2 esk1_0 esk2_0False)v3_pre_topc X1 esk1_0r2_hidden esk2_0 X1m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 esk1_0))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)(∀X2 X1, (v4_pre_topc X2 X1False)v2_pre_topc X1l1_pre_topc X1v3_connsp_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 X2v3_connsp_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (k1_connsp_1 X1 X2)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (m1_pre_topc (k1_pre_topc X1 X2) X1False)l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_struct_0 X1False)(v1_xboole_0 X2False)(v1_pre_topc (k1_pre_topc X1 X2)False)l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (m1_subset_1 (k1_connsp_1 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)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)(∀X2 X1, (v1_pre_topc (k1_pre_topc X1 X2)False)l1_pre_topc X1v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v1_pre_topc (k1_pre_topc X1 X2)False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_pre_topc (k1_pre_topc X1 X2)False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_struct_0 (k1_pre_topc X1 X2)False)l1_pre_topc X1v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_connsp_1 X2 X1False)l1_pre_topc X1v3_connsp_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_struct_0 X1False)(v2_connsp_1 (k1_connsp_1 X1 X2) X1False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v2_struct_0 X1False)(r2_hidden X2 (k1_connsp_1 X1 X2)False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v1_pre_topc (k1_pre_topc X1 X2)False)l1_pre_topc 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 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)(∀X2 X1, (v2_connsp_1 X2 X1False)l1_pre_topc X1v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))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)(∀X1, (v2_struct_0 X1False)(v1_pre_topc (g1_pre_topc (u1_struct_0 X1) (u1_pre_topc X1))False)l1_pre_topc X1False)(∀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)(∀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, (v2_struct_0 X1False)(m1_subset_1 (esk40_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 (esk39_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 (esk29_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk41_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk37_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk19_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, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v2_tops_1 (esk39_1 X1) X1False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v2_tops_1 (k2_struct_0 X1) X1False)(∀X1, (v7_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 (esk31_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀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 (esk36_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk33_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk16_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)(∀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)((m1_subset_1 esk3_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)r1_connsp_2 esk1_0 esk2_0False)(∀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 (esk40_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v4_pre_topc (esk29_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v3_pre_topc (esk29_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk40_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk39_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk29_1 X1)False)(∀X1, (v3_tops_1 (esk41_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (esk37_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (esk25_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, (m1_pre_topc (esk34_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (esk25_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (esk19_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 (k2_struct_0 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 (esk30_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, (v1_zfmisc_1 X1False)(m1_subset_1 (esk38_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk35_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk32_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, v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (u1_pre_topc X1)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)((r2_hidden esk2_0 esk3_0False)r1_connsp_2 esk1_0 esk2_0False)((v3_pre_topc esk3_0 esk1_0False)r1_connsp_2 esk1_0 esk2_0False)(∀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 (esk22_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 (esk31_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk21_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (k2_struct_0 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 (esk30_1 X1)False)(∀X1, (v1_tops_1 (esk33_1 X1) X1False)l1_pre_topc X1False)(∀X1, (v1_tops_1 (k2_struct_0 X1) X1False)l1_pre_topc X1False)(∀X1, (v2_tops_1 (esk36_1 X1) X1False)l1_pre_topc X1False)(∀X1, (m1_pre_topc (esk27_1 X1) X1False)l1_pre_topc X1False)(∀X1, (m1_pre_topc (esk11_1 X1) X1False)l1_pre_topc X1False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk32_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_pre_topc (esk34_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v1_xboole_0 (k2_struct_0 X1)False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_xboole_0 (u1_struct_0 X1)False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v2_pre_topc (esk34_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(v1_xboole_0 esk3_0r1_connsp_2 esk1_0 esk2_0False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk21_1 X1)False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_pre_topc (esk30_1 X1)False)l1_pre_topc X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk38_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk35_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk18_1 X1)False)(∀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 (esk27_1 X1)False)l1_pre_topc X1False)(∀X1, (v1_xboole_0 (esk16_1 X1)False)l1_pre_topc 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, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk35_1 X1)False)False)(∀X1, (l1_struct_0 X1False)l1_pre_topc X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(∀X1, v1_subset_1 (esk28_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk26_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk23_0False)(v2_struct_0 esk1_0False)(∀X1, (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk12_1 X1) X1False)False)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, (v1_xboole_0 (esk24_1 X1)False)False)((l1_struct_0 esk9_0False)False)((v1_pre_topc esk23_0False)False)((v1_pre_topc esk17_0False)False)((v1_pre_topc esk15_0False)False)((v1_pre_topc esk14_0False)False)((v1_xboole_0 esk20_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l1_pre_topc esk23_0False)False)((l1_pre_topc esk17_0False)False)((l1_pre_topc esk15_0False)False)((l1_pre_topc esk14_0False)False)((l1_pre_topc esk8_0False)False)((l1_pre_topc esk1_0False)False)((v2_pre_topc esk23_0False)False)((v2_pre_topc esk15_0False)False)((v2_pre_topc esk1_0False)False)((v2_struct_0 esk15_0False)False)((v2_struct_0 esk14_0False)False)False
Proof:
The rest of the proof is missing.