Theorem. (t55_tex_4)
∀a_2_12_tex_4 : setsetset, ∀esk7_3 : setsetsetset, ∀r1_tarski : setsetprop, ∀k2_tex_4 : setsetset, ∀esk9_3 : setsetsetset, ∀a_2_4_tex_4 : setsetset, ∀v3_tops_1 : setsetprop, ∀v2_tops_1 : setsetprop, ∀v4_pre_topc : setsetprop, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀l1_struct_0 : setprop, ∀k5_setfam_1 : setsetset, ∀esk36_1 : setset, ∀esk38_1 : setset, ∀esk21_1 : setset, ∀esk11_1 : setset, ∀k2_struct_0 : setset, ∀esk18_1 : setset, ∀esk17_1 : setset, ∀esk30_1 : setset, ∀v2_tdlat_3 : setprop, ∀esk20_1 : setset, ∀esk35_1 : setset, ∀esk13_1 : setset, ∀esk28_1 : setset, ∀v1_tops_1 : setsetprop, ∀esk24_1 : setset, ∀esk23_0 : set, ∀esk16_0 : set, ∀o_0_0_xboole_0 : set, ∀esk5_0 : set, ∀esk4_0 : set, ∀esk15_0 : set, ∀esk6_1 : setset, ∀esk19_1 : setset, ∀esk22_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀v6_pre_topc : setprop, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀esk12_1 : setset, ∀esk31_1 : setset, ∀v1_tdlat_3 : setprop, ∀esk33_1 : setset, ∀esk27_1 : setset, ∀esk25_1 : setset, ∀esk32_1 : setset, ∀esk14_1 : setset, ∀esk34_1 : setset, ∀esk29_1 : setset, ∀esk26_1 : setset, ∀esk37_1 : setset, ∀esk3_2 : setsetset, ∀k3_tarski : setset, ∀esk39_2 : setsetset, ∀v1_zfmisc_1 : setprop, ∀v7_struct_0 : setprop, ∀v1_xboole_0 : setprop, ∀k1_tex_4 : setsetset, ∀v1_subset_1 : setsetprop, ∀k1_setfam_1 : setset, ∀k3_tex_4 : setsetset, ∀k1_xboole_0 : set, ∀v1_tex_4 : setsetprop, ∀esk10_3 : setsetsetset, ∀a_2_8_tex_4 : setsetset, ∀v3_pre_topc : setsetprop, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀u1_struct_0 : setset, ∀esk8_3 : setsetsetset, ∀l1_pre_topc : setprop, ∀r2_hidden : setsetprop, ∀a_2_15_tex_4 : setsetset, ∀v2_pre_topc : setprop, ∀v2_struct_0 : setprop, (∀X3 X1 X2, (v2_struct_0 X2False)(m1_subset_1 (esk8_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X2))False)v2_pre_topc X2l1_pre_topc X2r2_hidden X1 (a_2_15_tex_4 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, (v2_struct_0 X2False)(m1_subset_1 (esk7_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X2))False)l1_pre_topc X2r2_hidden X1 (a_2_12_tex_4 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X1 X2, (v2_struct_0 X2False)(v3_pre_topc (esk8_3 X1 X2 X3) X2False)v2_pre_topc X2l1_pre_topc X2r2_hidden X1 (a_2_15_tex_4 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X2 X3, (v2_struct_0 X3False)(r1_tarski X1 (esk8_3 X2 X3 X1)False)v2_pre_topc X3l1_pre_topc X3r2_hidden X2 (a_2_15_tex_4 X3 X1)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X3))False)(∀X1 X3 X2, (v2_struct_0 X2False)(m1_subset_1 (esk10_3 X1 X2 X3) (u1_struct_0 X2)False)l1_pre_topc X2r2_hidden X1 (a_2_8_tex_4 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, ((k2_tex_4 X2 (esk10_3 X1 X2 X3)) = X1False)(v2_struct_0 X2False)l1_pre_topc X2r2_hidden X1 (a_2_8_tex_4 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, (v2_struct_0 X2False)(v3_pre_topc (esk7_3 X1 X2 X3) X2False)l1_pre_topc X2r2_hidden X1 (a_2_12_tex_4 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, (v2_struct_0 X2False)(r2_hidden (esk10_3 X1 X2 X3) X3False)l1_pre_topc X2r2_hidden X1 (a_2_8_tex_4 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1 X3, (v2_struct_0 X3False)(r1_tarski X1 (esk7_3 X2 X3 X1)False)l1_pre_topc X3r2_hidden X2 (a_2_12_tex_4 X3 X1)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X3))False)(∀X3 X1 X2, (m1_subset_1 (esk9_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X2))False)l1_pre_topc X2m1_subset_1 X3 (u1_struct_0 X2)r2_hidden X1 (a_2_4_tex_4 X2 X3)False)(∀X3 X1 X2, (v1_tex_4 (esk9_3 X1 X2 X3) X2False)l1_pre_topc X2m1_subset_1 X3 (u1_struct_0 X2)r2_hidden X1 (a_2_4_tex_4 X2 X3)False)(∀X1 X2 X3, (r2_hidden X1 (esk9_3 X2 X3 X1)False)l1_pre_topc X3m1_subset_1 X1 (u1_struct_0 X3)r2_hidden X2 (a_2_4_tex_4 X3 X1)False)(∀X3 X4 X1 X2, (v2_struct_0 X2False)(r2_hidden X3 (a_2_15_tex_4 X2 X4)False)X1 = X3v2_pre_topc X2l1_pre_topc X2r1_tarski X4 X1v3_pre_topc X1 X2m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X4 X1 X2, (v2_struct_0 X2False)(r2_hidden X3 (a_2_12_tex_4 X2 X4)False)X1 = X3l1_pre_topc X2r1_tarski X4 X1v3_pre_topc X1 X2m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X1 X2, ((esk8_3 X1 X2 X3) = X1False)(v2_struct_0 X2False)v2_pre_topc X2l1_pre_topc X2r2_hidden X1 (a_2_15_tex_4 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X4 X1 X2, (v2_struct_0 X2False)(r2_hidden X3 (a_2_8_tex_4 X2 X4)False)X3 = (k2_tex_4 X2 X1)l1_pre_topc X2r2_hidden X1 X4m1_subset_1 X1 (u1_struct_0 X2)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, ((esk7_3 X1 X2 X3) = X1False)(v2_struct_0 X2False)l1_pre_topc X2r2_hidden X1 (a_2_12_tex_4 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X2 X4 X3, (r2_hidden X3 (a_2_4_tex_4 X2 X4)False)X1 = X3l1_pre_topc X2r2_hidden X4 X1v1_tex_4 X1 X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, ((a_2_12_tex_4 X1 X2) = k1_xboole_0False)(v2_struct_0 X1False)(r1_tarski (k3_tex_4 X1 X2) (k1_setfam_1 (a_2_12_tex_4 X1 X2))False)l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X1 X2, ((esk9_3 X1 X2 X3) = X1False)l1_pre_topc X2m1_subset_1 X3 (u1_struct_0 X2)r2_hidden X1 (a_2_4_tex_4 X2 X3)False)(∀X2 X1, (v2_struct_0 X1False)(v1_subset_1 X2 (u1_struct_0 X1)False)l1_pre_topc X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))v1_subset_1 (k3_tex_4 X1 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, (m1_subset_1 (k1_tex_4 X1 X2) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1)))False)l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v2_struct_0 X1False)(m1_subset_1 (k3_tex_4 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, (v1_xboole_0 X1False)l1_struct_0 X2v13_struct_0 X2 np__1v1_subset_1 X1 (u1_struct_0 X2)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, (v7_struct_0 X1False)(v1_zfmisc_1 X2False)l1_pre_topc X1v1_zfmisc_1 (k3_tex_4 X1 X2)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v2_struct_0 X1False)(v1_xboole_0 X2False)l1_pre_topc X1v1_xboole_0 (k3_tex_4 X1 X2)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk39_2 X3 X2)False)(∀X2 X1, (v1_xboole_0 X1False)(v1_zfmisc_1 X1False)(v1_subset_1 X1 (u1_struct_0 X2)False)l1_struct_0 X2v13_struct_0 X2 np__1m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, ((k3_tarski (a_2_8_tex_4 X1 X2)) = (k3_tex_4 X1 X2)False)(v2_struct_0 X1False)l1_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)(∀X2 X1, (v2_struct_0 X1False)(v1_xboole_0 (k3_tex_4 X1 X2)False)l1_pre_topc X1v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, ((k5_setfam_1 (u1_struct_0 X1) (k1_tex_4 X1 X2)) = (k2_tex_4 X1 X2)False)l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (m1_subset_1 (k2_tex_4 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 (k5_setfam_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X1 X2, (v7_struct_0 X2False)(v1_xboole_0 X1False)(v1_subset_1 X1 (u1_struct_0 X2)False)l1_struct_0 X2v1_zfmisc_1 X1m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X2, (v7_struct_0 X2False)(v1_xboole_0 X1False)(v1_subset_1 X1 (u1_struct_0 X2)False)l1_struct_0 X2v1_zfmisc_1 X1m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1, (v2_struct_0 X1False)l1_pre_topc X1v1_xboole_0 (k2_tex_4 X1 X2)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v2_struct_0 X1False)l1_pre_topc X1v1_xboole_0 (k1_tex_4 X1 X2)m1_subset_1 X2 (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, (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, (r1_tarski X1 X2False)r2_hidden (esk3_2 X1 X2) X2False)(∀X2 X1, ((k5_setfam_1 X2 X1) = (k3_tarski 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, ((k1_tex_4 X1 X2) = (a_2_4_tex_4 X1 X2)False)l1_pre_topc X1m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X1, (v1_xboole_0 X1False)(v1_zfmisc_1 X2False)(v1_subset_1 X1 X2False)v1_zfmisc_1 X1m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (v1_xboole_0 X1False)(v1_zfmisc_1 X2False)(v1_subset_1 X1 X2False)v1_zfmisc_1 X1m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (r2_hidden (esk39_2 X1 X2) X2False)r2_hidden X1 X2False)(∀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)(∀X1 X3 X2, (r2_hidden X3 X2False)r1_tarski X1 X2r2_hidden X3 X1False)(∀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 (esk37_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 (esk36_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)(∀X1 X2, (r1_tarski X1 X2False)(r2_hidden (esk3_2 X1 X2) X1False)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_subset_1 (esk29_1 X1) (u1_struct_0 X1)False)(∀X1, (m1_subset_1 (esk38_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀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 (esk21_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk14_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, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v2_tops_1 (esk36_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 (esk32_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk27_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk17_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 (esk33_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_pre_topc X1False)(∀X1, (m1_subset_1 (esk30_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)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, (v2_struct_0 X1False)(v4_pre_topc (esk37_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_tdlat_3 X1False)v2_pre_topc X1l1_pre_topc X1v13_struct_0 X1 np__1False)(∀X1, (v1_tdlat_3 X1False)v2_pre_topc X1l1_pre_topc X1v13_struct_0 X1 np__1False)(∀X1, (v7_struct_0 X1False)(v1_subset_1 (esk32_1 X1) (u1_struct_0 X1)False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(v1_subset_1 (esk25_1 X1) (u1_struct_0 X1)False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v7_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_tdlat_3 X1v2_tdlat_3 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, (v1_zfmisc_1 X1False)v1_subset_1 (esk20_1 X1) X1False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk37_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk36_1 X1)False)(∀X1, (v2_struct_0 X1False)v2_pre_topc X1l1_pre_topc X1v1_xboole_0 (esk26_1 X1)False)(∀X1, (v3_tops_1 (esk38_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (esk34_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v4_pre_topc (esk21_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 (esk21_1 X1) X1False)v2_pre_topc X1l1_pre_topc X1False)(∀X1, (v3_pre_topc (esk14_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 (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 (esk35_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk31_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 (esk12_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v2_struct_0 X1False)(v2_tdlat_3 X1False)v2_pre_topc X1l1_pre_topc X1v7_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_tdlat_3 X1False)v2_pre_topc X1l1_pre_topc X1v7_struct_0 X1False)(∀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 (esk29_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk18_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk32_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk29_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk25_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk27_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk17_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 (esk30_1 X1) X1False)l1_pre_topc X1False)(∀X1, (v1_tops_1 (k2_struct_0 X1) X1False)l1_pre_topc X1False)(∀X1, (v2_tops_1 (esk33_1 X1) X1False)l1_pre_topc X1False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)v2_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_zfmisc_1 X1False)(v1_subset_1 (esk13_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk28_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, (v7_struct_0 X1False)(v1_zfmisc_1 (esk32_1 X1)False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(v1_zfmisc_1 (esk25_1 X1)False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk17_1 X1)False)l1_struct_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk35_1 X1)False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk20_1 X1)False)(∀X1, (v1_zfmisc_1 X1False)v1_xboole_0 (esk20_1 X1)False)(∀X1, (v1_zfmisc_1 X1False)v1_xboole_0 (esk13_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk31_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk12_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)(∀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_zfmisc_1 X1False)(v1_zfmisc_1 (esk13_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk31_1 X1)False)False)(∀X1, (v1_zfmisc_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_xboole_0 X1False)(∀X1, (l1_struct_0 X1False)l1_pre_topc X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r1_tarski (k3_tex_4 esk1_0 esk2_0) (k1_setfam_1 (a_2_15_tex_4 esk1_0 esk2_0))False)(∀X1, v1_subset_1 (esk24_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_zfmisc_1 esk23_0False)(v1_xboole_0 esk22_0False)(v1_xboole_0 esk16_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk1_0False)(∀X1, (m1_subset_1 (k1_zfmisc_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 X1))False)False)(∀X1, (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1)False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)(∀X1, (m1_subset_1 (esk6_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, (v1_xboole_0 (esk19_1 X1)False)False)((v1_zfmisc_1 esk16_0False)False)((v1_xboole_0 esk15_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l1_struct_0 esk5_0False)False)((l1_pre_topc esk4_0False)False)((l1_pre_topc esk1_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.