Theorem. (t26_connsp_2)
∀r1_connsp_1 : setsetsetprop, ∀r1_tarski : setsetprop, ∀k1_struct_0 : setset, ∀k4_subset_1 : setsetsetset, ∀v2_connsp_1 : setsetprop, ∀esk31_2 : setsetset, ∀esk32_2 : setsetset, ∀l1_struct_0 : setprop, ∀k3_subset_1 : setsetset, ∀k2_struct_0 : setset, ∀v1_tops_1 : setsetprop, ∀v3_tops_1 : setsetprop, ∀v1_xboole_0 : setprop, ∀v1_subset_1 : setsetprop, ∀k4_xboole_0 : setsetset, ∀esk28_1 : setset, ∀esk30_1 : setset, ∀esk17_1 : setset, ∀esk9_1 : setset, ∀esk21_1 : setset, ∀esk25_1 : setset, ∀esk10_1 : setset, ∀v1_zfmisc_1 : setprop, ∀esk24_1 : setset, ∀esk11_1 : setset, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀v6_pre_topc : setprop, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk16_1 : setset, ∀esk6_0 : set, ∀esk7_0 : set, ∀esk13_0 : set, ∀esk8_1 : setset, ∀esk18_0 : set, ∀esk19_1 : setset, ∀esk22_1 : setset, ∀esk27_1 : setset, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀esk23_1 : setset, ∀esk14_1 : setset, ∀esk15_1 : setset, ∀v7_struct_0 : setprop, ∀esk12_1 : setset, ∀esk26_1 : setset, ∀esk20_1 : setset, ∀esk29_1 : setset, ∀esk34_2 : setsetset, ∀k1_setfam_1 : setset, ∀k1_connsp_1 : setsetset, ∀v2_tops_1 : setsetprop, ∀k9_subset_1 : setsetsetset, ∀k2_xboole_0 : setsetset, ∀r1_xboole_0 : setsetprop, ∀k2_pre_topc : setsetset, ∀esk4_3 : setsetsetset, ∀esk3_3 : setsetsetset, ∀k3_xboole_0 : setsetset, ∀k1_xboole_0 : set, ∀esk33_3 : setsetsetset, ∀v2_struct_0 : setprop, ∀v2_pre_topc : setprop, ∀m1_subset_1 : setsetprop, ∀esk5_4 : setsetsetsetset, ∀r2_hidden : setsetprop, ∀v3_pre_topc : setsetprop, ∀v4_pre_topc : setsetprop, ∀k1_zfmisc_1 : setset, ∀l1_pre_topc : setprop, ∀u1_struct_0 : setset, ∀k6_setfam_1 : setsetset, ∀k1_connsp_2 : setsetset, (∀X4 X1 X2 X3, (X3 = (k1_connsp_2 X1 X2)False)(v2_struct_0 X1False)(k6_setfam_1 (u1_struct_0 X1) X4) = X3v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))r2_hidden X2 (esk5_4 X1 X2 X3 X4)r2_hidden (esk5_4 X1 X2 X3 X4) X4v3_pre_topc (esk5_4 X1 X2 X3 X4) X1v4_pre_topc (esk5_4 X1 X2 X3 X4) X1m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)(∀X4 X1 X2 X3, (X3 = (k1_connsp_2 X1 X2)False)(v2_struct_0 X1False)(r2_hidden (esk5_4 X1 X2 X3 X4) X4False)(v4_pre_topc (esk5_4 X1 X2 X3 X4) X1False)(k6_setfam_1 (u1_struct_0 X1) X4) = X3v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)(∀X4 X1 X2 X3, (X3 = (k1_connsp_2 X1 X2)False)(v2_struct_0 X1False)(r2_hidden (esk5_4 X1 X2 X3 X4) X4False)(v3_pre_topc (esk5_4 X1 X2 X3 X4) X1False)(k6_setfam_1 (u1_struct_0 X1) X4) = X3v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)(∀X4 X2 X1 X3, (X3 = (k1_connsp_2 X2 X1)False)(v2_struct_0 X2False)(r2_hidden X1 (esk5_4 X2 X1 X3 X4)False)(r2_hidden (esk5_4 X2 X1 X3 X4) X4False)(k6_setfam_1 (u1_struct_0 X2) X4) = X3v2_pre_topc X2l1_pre_topc X2m1_subset_1 X1 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X2)))False)(∀X3 X2 X1, (v2_struct_0 X1False)X3 = k1_xboole_0v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)r2_hidden X2 (esk33_3 X1 X2 X3)r2_hidden (esk33_3 X1 X2 X3) X3v3_pre_topc (esk33_3 X1 X2 X3) X1v4_pre_topc (esk33_3 X1 X2 X3) X1m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)(∀X4 X1 X2 X3, (X3 = (k1_connsp_2 X1 X2)False)(v2_struct_0 X1False)(m1_subset_1 (esk5_4 X1 X2 X3 X4) (k1_zfmisc_1 (u1_struct_0 X1))False)(k6_setfam_1 (u1_struct_0 X1) X4) = X3v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)r2_hidden (esk3_3 X1 X2 X3) X3r2_hidden (esk3_3 X1 X2 X3) X2r2_hidden (esk3_3 X1 X2 X3) X1False)(∀X2 X3 X5 X4 X1, (r1_connsp_1 X1 X4 X5False)l1_pre_topc X1r1_tarski X5 X3r1_tarski X4 X2r1_connsp_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))m1_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, (v2_struct_0 X1False)(r2_hidden (esk33_3 X1 X2 X3) X3False)(v4_pre_topc (esk33_3 X1 X2 X3) X1False)X3 = k1_xboole_0v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)(∀X3 X2 X1, (v2_struct_0 X1False)(r2_hidden (esk33_3 X1 X2 X3) X3False)(v3_pre_topc (esk33_3 X1 X2 X3) X1False)X3 = k1_xboole_0v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)(∀X3 X1 X2, (v2_struct_0 X2False)(r2_hidden X1 (esk33_3 X2 X1 X3)False)(r2_hidden (esk33_3 X2 X1 X3) X3False)X3 = k1_xboole_0v2_pre_topc X2l1_pre_topc X2m1_subset_1 X1 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X2)))False)(∀X3 X1 X4 X2, (X4 = (k1_struct_0 X2)False)(X3 = (k1_struct_0 X2)False)X1 = (k4_subset_1 (u1_struct_0 X2) X3 X4)v2_pre_topc X2l1_pre_topc X2v2_connsp_1 X1 X2r1_connsp_1 X2 X3 X4m1_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)(∀X1 X3 X4 X2, (v2_struct_0 X2False)(v4_pre_topc X1 X2False)X4 = (k1_connsp_2 X2 X3)v2_pre_topc X2l1_pre_topc X2m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))r2_hidden X1 (esk4_3 X2 X3 X4)False)(∀X1 X3 X4 X2, (v2_struct_0 X2False)(v3_pre_topc X1 X2False)X4 = (k1_connsp_2 X2 X3)v2_pre_topc X2l1_pre_topc X2m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))r2_hidden X1 (esk4_3 X2 X3 X4)False)(∀X2 X1 X4 X3, (v2_struct_0 X3False)(r2_hidden X1 X2False)X4 = (k1_connsp_2 X3 X1)v2_pre_topc X3l1_pre_topc X3m1_subset_1 X1 (u1_struct_0 X3)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X3))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X3))r2_hidden X2 (esk4_3 X3 X1 X4)False)(∀X4 X3 X1 X2, (v2_struct_0 X2False)(r2_hidden X1 (esk4_3 X2 X3 X4)False)X4 = (k1_connsp_2 X2 X3)v2_pre_topc X2l1_pre_topc X2r2_hidden X3 X1v3_pre_topc X1 X2v4_pre_topc X1 X2m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X3 X1, (r1_connsp_1 X1 X2 X3False)l1_pre_topc X1r1_xboole_0 X2 (k2_pre_topc X1 X3)r1_xboole_0 (k2_pre_topc 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, (v2_struct_0 X1False)(m1_subset_1 (esk4_3 X1 X2 X3) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)X3 = (k1_connsp_2 X1 X2)v2_pre_topc X1l1_pre_topc X1m1_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 (esk33_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)X3 = k1_xboole_0v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk3_3 X1 X2 X3) X3False)(r2_hidden (esk3_3 X1 X2 X3) X1False)False)(∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk3_3 X1 X2 X3) X3False)(r2_hidden (esk3_3 X1 X2 X3) X2False)False)(∀X3 X2 X1, ((k6_setfam_1 (u1_struct_0 X1) (esk4_3 X1 X2 X3)) = X3False)(v2_struct_0 X1False)X3 = (k1_connsp_2 X1 X2)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))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, (r1_xboole_0 (k2_pre_topc X1 X2) X3False)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)(∀X1 X3 X2, (r1_xboole_0 X1 (k2_pre_topc X2 X3)False)l1_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)(∀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)(∀X1 X2, ((k4_subset_1 (u1_struct_0 X2) (esk31_2 X2 X1) (esk32_2 X2 X1)) = X1False)(v2_connsp_1 X1 X2False)v2_pre_topc X2l1_pre_topc X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 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)(∀X2 X1, (v2_connsp_1 X2 X1False)(r1_connsp_1 X1 (esk31_2 X1 X2) (esk32_2 X1 X2)False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))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 (k9_subset_1 X2 X3 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1 X3, (r1_xboole_0 X1 X3False)m1_subset_1 X3 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)r1_tarski X1 (k3_subset_1 X2 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, (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)(∀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, (v2_connsp_1 X2 X1False)(m1_subset_1 (esk32_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_connsp_1 X2 X1False)(m1_subset_1 (esk31_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc 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)(∀X3 X1 X2, (r1_tarski X1 (k3_subset_1 X3 X2)False)r1_xboole_0 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)m1_subset_1 X1 (k1_zfmisc_1 X3)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)(∀X2 X1, (m1_subset_1 (k2_pre_topc 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, ((k2_pre_topc X1 (k2_pre_topc X1 X2)) = (k2_pre_topc X1 X2)False)l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k1_connsp_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_connsp_1 X2 X1False)(esk32_2 X1 X2) = (k1_struct_0 X1)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_connsp_1 X2 X1False)(esk31_2 X1 X2) = (k1_struct_0 X1)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v4_pre_topc (k2_pre_topc X1 X2) X1False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v4_pre_topc X2 X1False)(k2_pre_topc X1 X2) = X2v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 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)(∀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_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)(∀X2 X1, (m1_subset_1 (k6_setfam_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X1 X2, ((k2_pre_topc X2 X1) = X1False)l1_pre_topc X2v4_pre_topc X1 X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))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)(∀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)(∀X1 X2, (X2 = k1_xboole_0False)(r1_tarski X1 (k1_setfam_1 X2)False)r1_tarski X1 (esk34_2 X2 X1)False)(∀X2 X3 X1 X4, (r2_hidden X1 X4False)X4 = (k3_xboole_0 X2 X3)r2_hidden X1 X3r2_hidden X1 X2False)(∀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)(∀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)(∀X2 X1, ((k3_subset_1 X2 (k3_subset_1 X2 X1)) = X1False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, ((k6_setfam_1 X2 X1) = (k1_setfam_1 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (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, (X1 = k1_xboole_0False)(r1_tarski X2 (k1_setfam_1 X1)False)(r2_hidden (esk34_2 X1 X2) X1False)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)(∀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, ((k3_subset_1 X2 X1) = (k4_xboole_0 X2 X1)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀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 (esk29_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 (esk28_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 (esk20_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk30_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk26_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)(∀X1, (m1_subset_1 (esk9_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, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v2_tops_1 (esk28_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 (esk15_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, (v2_struct_0 X1False)(m1_subset_1 (esk14_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 (esk25_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk10_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)(∀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)(∀X1, (v2_struct_0 X1False)(v4_pre_topc (esk29_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v4_pre_topc (esk20_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v3_pre_topc (esk20_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X2 X1, ((k3_xboole_0 X1 X2) = X1False)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)(∀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 (esk29_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk28_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk20_1 X1)False)(∀X1, (v3_tops_1 (esk30_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (esk26_1 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 (k2_struct_0 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, (v3_pre_topc (esk9_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, (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 (esk27_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 (esk22_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk11_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 (esk15_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 (esk21_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk14_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, (v1_tops_1 (esk23_1 X1) X1False)l1_pre_topc X1False)(∀X1, (v1_tops_1 (k2_struct_0 X1) X1False)l1_pre_topc X1False)(∀X1, (v2_tops_1 (esk25_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 (esk22_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 (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_struct_0 X1False)(v1_zfmisc_1 (esk14_1 X1)False)l1_struct_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk27_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk24_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk11_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_xboole_0 (esk10_1 X1)False)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, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk24_1 X1)False)False)(∀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)(r1_tarski (k1_connsp_1 esk1_0 esk2_0) (k1_connsp_2 esk1_0 esk2_0)False)(∀X1, v1_subset_1 (esk19_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk18_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk1_0False)(∀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 X1, (r1_xboole_0 (k4_xboole_0 X1 X2) X2False)False)(∀X1 X2, (r1_tarski (k3_xboole_0 X1 X2) X1False)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)(∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk8_1 X1) X1False)False)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)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)(∀X1, (v1_xboole_0 (esk16_1 X1)False)False)((v1_xboole_0 esk13_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l1_struct_0 esk7_0False)False)((l1_pre_topc esk6_0False)False)((l1_pre_topc esk1_0False)False)((v2_pre_topc esk1_0False)False)False
Proof:
The rest of the proof is missing.