Theorem. (t37_connsp_1)
∀r3_connsp_1 : setsetsetprop, ∀v3_connsp_1 : setsetprop, ∀k1_pre_topc : setsetset, ∀k1_struct_0 : setset, ∀l1_struct_0 : setprop, ∀esk32_2 : setsetset, ∀esk33_2 : setsetset, ∀m1_pre_topc : setsetprop, ∀k9_subset_1 : setsetsetset, ∀esk4_2 : setsetset, ∀k2_xboole_0 : setsetset, ∀v1_pre_topc : setprop, ∀g1_pre_topc : setsetset, ∀r2_hidden : setsetprop, ∀v1_subset_1 : setsetprop, ∀esk29_1 : setset, ∀esk25_1 : setset, ∀v1_zfmisc_1 : setprop, ∀k1_xboole_0 : set, ∀v13_struct_0 : setsetprop, ∀np__1 : set, ∀esk24_1 : setset, ∀esk30_1 : setset, ∀esk26_1 : setset, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀esk22_1 : setset, ∀v2_relat_1 : setprop, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk13_0 : set, ∀esk18_0 : set, ∀esk20_1 : setset, ∀esk15_0 : set, ∀esk10_0 : set, ∀esk6_0 : set, ∀esk12_0 : set, ∀esk7_0 : set, ∀esk11_0 : set, ∀o_0_0_xboole_0 : set, ∀esk19_0 : set, ∀esk9_1 : setset, ∀esk2_0 : set, ∀esk21_0 : set, ∀esk23_1 : setset, ∀v3_relat_1 : setprop, ∀v6_pre_topc : setprop, ∀esk8_1 : setset, ∀esk14_1 : setset, ∀esk28_1 : setset, ∀esk27_1 : setset, ∀v1_relat_1 : setprop, ∀esk16_1 : setset, ∀esk17_1 : setset, ∀v7_struct_0 : setprop, ∀esk31_1 : setset, ∀u1_pre_topc : setset, ∀k4_xboole_0 : setsetset, ∀v4_pre_topc : setsetprop, ∀k3_xboole_0 : setsetset, ∀v1_xboole_0 : setprop, ∀v2_struct_0 : setprop, ∀k3_subset_1 : setsetset, ∀r1_xboole_0 : setsetprop, ∀esk5_3 : setsetsetset, ∀r1_tarski : setsetprop, ∀k2_struct_0 : setset, ∀k7_subset_1 : setsetsetset, ∀l1_pre_topc : setprop, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀r1_connsp_1 : setsetsetprop, ∀v1_connsp_1 : setprop, ∀v2_pre_topc : setprop, ∀k4_subset_1 : setsetsetset, ∀u1_struct_0 : setset, ∀v2_connsp_1 : setsetprop, (∀X4 X2 X3 X1, (v2_connsp_1 (k4_subset_1 (u1_struct_0 X1) X2 X3) X1False)(k7_subset_1 (u1_struct_0 X1) (k2_struct_0 X1) X2) = (k4_subset_1 (u1_struct_0 X1) X3 X4)v2_pre_topc X1l1_pre_topc X1v1_connsp_1 X1v2_connsp_1 X2 X1r1_connsp_1 X1 X3 X4m1_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)(∀X4 X2 X3 X1, (v2_connsp_1 (k4_subset_1 (u1_struct_0 X1) X2 X3) X1False)(k7_subset_1 (u1_struct_0 X1) (k2_struct_0 X1) X2) = (k4_subset_1 (u1_struct_0 X1) X4 X3)v2_pre_topc X1l1_pre_topc X1v1_connsp_1 X1v2_connsp_1 X2 X1r1_connsp_1 X1 X4 X3m1_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 X1 X2 X4, (r1_tarski X2 X4False)(r1_tarski X2 X3False)v2_pre_topc X1l1_pre_topc X1v2_connsp_1 X2 X1r1_connsp_1 X1 X3 X4m1_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))r1_tarski X2 (k4_subset_1 (u1_struct_0 X1) X3 X4)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)(∀X2 X3 X1, (m1_subset_1 (esk5_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)(∀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)(∀X2 X3 X1, (v3_connsp_1 (esk5_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 X1, ((k7_subset_1 (u1_struct_0 X1) (k2_struct_0 X1) (k7_subset_1 (u1_struct_0 X1) (k2_struct_0 X1) X2)) = X2False)l1_struct_0 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, ((esk5_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)(∀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)(∀X1 X2 X3, (r1_xboole_0 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 X2, ((k4_subset_1 (u1_struct_0 X2) (esk32_2 X2 X1) (esk33_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 (esk32_2 X1 X2) (esk33_2 X1 X2)False)v2_pre_topc X1l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))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)(∀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 X3, (X1 = X3False)l1_pre_topc X2v2_connsp_1 X1 X2v3_connsp_1 X3 X2r1_tarski 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 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)(∀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, (m1_subset_1 (k7_subset_1 X2 X1 X3) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (v3_connsp_1 X2 X1False)(m1_subset_1 (esk4_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1v2_connsp_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))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)(∀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, (v2_connsp_1 X2 X1False)(m1_subset_1 (esk33_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 (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, (v3_connsp_1 X2 X1False)(v2_connsp_1 (esk4_2 X1 X2) X1False)l1_pre_topc X1v2_connsp_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X2, (v3_connsp_1 X1 X2False)(r1_tarski X1 (esk4_2 X2 X1)False)l1_pre_topc X2v2_connsp_1 X1 X2m1_subset_1 X1 (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)(∀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)(∀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, (v3_connsp_1 X1 X2False)(esk4_2 X2 X1) = X1l1_pre_topc X2v2_connsp_1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))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, (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)(∀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)(∀X4 X3 X2 X1, (r1_tarski (k3_xboole_0 X1 X3) (k3_xboole_0 X2 X4)False)r1_tarski X3 X4r1_tarski X1 X2False)(∀X2 X1, (v2_connsp_1 X2 X1False)(esk33_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)(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, (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, (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)(∀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, ((k7_subset_1 X2 X1 X3) = (k4_xboole_0 X1 X3)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 X2v3_connsp_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (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)(∀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, (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, (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)(∀X1 X2, (v2_connsp_1 X1 X2False)l1_pre_topc X2v3_connsp_1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))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, (v1_pre_topc (k1_pre_topc X1 X2)False)l1_pre_topc 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)(∀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, (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)(∀X3 X2 X1, (r1_tarski X1 (k3_xboole_0 X2 X3)False)r1_tarski X1 X3r1_tarski X1 X2False)(∀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, (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)(∀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, ((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 (esk31_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk29_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, (v7_struct_0 X1False)(m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk16_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 (k1_struct_0 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 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)(∀X2 X1, (v1_relat_1 (k2_xboole_0 X1 X2)False)v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v1_zfmisc_1 X2False)v1_zfmisc_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_relat_1 X2False)v1_relat_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, ((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 (esk31_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X2 X1, (v1_relat_1 (k4_xboole_0 X1 X2)False)v1_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k3_xboole_0 X1 X2)False)v1_relat_1 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 (esk31_1 X1)False)(∀X1, (v4_pre_topc (esk29_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 (esk27_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, l1_struct_0 X1v2_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 (esk24_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 (esk30_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk14_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)(∀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 (esk17_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 (esk25_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk16_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 (esk24_1 X1)False)(∀X1, (m1_pre_topc (esk22_1 X1) X1False)l1_pre_topc X1False)(∀X1, (m1_pre_topc (esk8_1 X1) X1False)l1_pre_topc X1False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk26_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)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v1_xboole_0 (u1_struct_0 X1)False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v1_pre_topc (esk27_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_pre_topc (esk27_1 X1)False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk16_1 X1)False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_pre_topc (esk24_1 X1)False)l1_pre_topc X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk30_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk28_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk14_1 X1)False)(∀X1, (v6_pre_topc X1False)l1_pre_topc X1v2_struct_0 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)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v2_relat_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v3_relat_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v1_xboole_0 (k1_struct_0 X1)False)l1_struct_0 X1False)(∀X1, (v1_pre_topc (esk22_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 (esk28_1 X1)False)False)(∀X1, (v1_relat_1 X1False)v1_xboole_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)(v2_connsp_1 (k7_subset_1 (u1_struct_0 esk1_0) (k2_struct_0 esk1_0) esk3_0) esk1_0False)(∀X1, v1_subset_1 (esk23_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk21_0False)(v1_xboole_0 esk13_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk18_0False)((r3_connsp_1 esk1_0 (k7_subset_1 (u1_struct_0 esk1_0) (k2_struct_0 esk1_0) esk2_0) esk3_0False)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 X1, (r1_xboole_0 (k4_xboole_0 X1 X2) X2False)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)(∀X1, (m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 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)((v2_connsp_1 esk2_0 esk1_0False)False)(∀X1, (v1_xboole_0 (esk20_1 X1)False)False)((v2_relat_1 esk19_0False)False)((v1_relat_1 esk19_0False)False)((v1_relat_1 esk13_0False)False)((v1_xboole_0 esk15_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v2_struct_0 esk11_0False)False)((v2_struct_0 esk10_0False)False)((l1_struct_0 esk7_0False)False)((v1_pre_topc esk18_0False)False)((v1_pre_topc esk12_0False)False)((v1_pre_topc esk11_0False)False)((v1_pre_topc esk10_0False)False)((v1_connsp_1 esk1_0False)False)((l1_pre_topc esk18_0False)False)((l1_pre_topc esk12_0False)False)((l1_pre_topc esk11_0False)False)((l1_pre_topc esk10_0False)False)((l1_pre_topc esk6_0False)False)((l1_pre_topc esk1_0False)False)((v2_pre_topc esk18_0False)False)((v2_pre_topc esk11_0False)False)((v2_pre_topc esk1_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.