Theorem. (t3_conlat_2)
∀a_2_6_conlat_2 : setsetset, ∀r2_hidden : setsetprop, ∀r1_conlat_1 : setsetsetprop, ∀esk20_4 : setsetsetsetset, ∀v1_xboole_0 : setprop, ∀esk17_4 : setsetsetsetset, ∀k1_funct_1 : setsetset, ∀esk21_3 : setsetsetset, ∀v1_partfun1 : setsetprop, ∀k1_xboole_0 : set, ∀k1_setfam_1 : setset, ∀esk3_3 : setsetsetset, ∀o_2_9_conlat_2 : setsetset, ∀m2_subset_1 : setsetsetprop, ∀esk4_2 : setsetset, ∀esk5_2 : setsetset, ∀k3_tarski : setset, ∀esk9_2 : setsetset, ∀v5_relat_1 : setsetprop, ∀esk15_2 : setsetset, ∀v1_relat_1 : setprop, ∀r1_tarski : setsetprop, ∀esk6_2 : setsetset, ∀v1_subset_1 : setsetprop, ∀esk37_1 : setset, ∀l5_struct_0 : setprop, ∀v1_zfmisc_1 : setprop, ∀esk32_1 : setset, ∀esk26_1 : setset, ∀v3_funct_1 : setprop, ∀l1_struct_0 : setprop, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk36_0 : set, ∀esk24_2 : setsetset, ∀esk14_1 : setset, ∀esk13_0 : set, ∀esk27_0 : set, ∀esk11_0 : set, ∀o_0_0_xboole_0 : set, ∀esk23_0 : set, ∀esk12_0 : set, ∀esk28_1 : setset, ∀esk33_2 : setsetset, ∀esk25_2 : setsetset, ∀esk31_0 : set, ∀esk29_1 : setset, ∀v2_funct_1 : setprop, ∀esk30_1 : setset, ∀esk34_1 : setset, ∀esk35_1 : setset, ∀v4_funct_1 : setprop, ∀esk38_2 : setsetset, ∀esk10_2 : setsetset, ∀v4_relat_1 : setsetprop, ∀esk8_3 : setsetsetset, ∀o_2_8_conlat_2 : setsetset, ∀esk16_3 : setsetsetset, ∀esk19_3 : setsetsetset, ∀esk18_3 : setsetsetset, ∀a_2_5_conlat_2 : setsetset, ∀k5_setfam_1 : setsetset, ∀a_2_7_conlat_2 : setsetset, ∀esk22_4 : setsetsetsetset, ∀v1_conlat_1 : setprop, ∀l1_conlat_1 : setprop, ∀v1_funct_2 : setsetsetprop, ∀m1_subset_1 : setsetprop, ∀k2_zfmisc_1 : setsetset, ∀v1_funct_1 : setprop, ∀k3_funct_2 : setsetsetsetset, ∀u1_struct_0 : setset, ∀k1_zfmisc_1 : setset, ∀u4_struct_0 : setset, ∀esk7_2 : setsetset, ∀a_2_1_conlat_1 : setsetset, ∀k2_conlat_1 : setset, (∀X2 X1, (X2 = (k2_conlat_1 X1)False)(v1_conlat_1 X1False)(k3_funct_2 (k1_zfmisc_1 (u4_struct_0 X1)) (k1_zfmisc_1 (u1_struct_0 X1)) X2 (esk7_2 X1 X2)) = (a_2_1_conlat_1 X1 (esk7_2 X1 X2))l1_conlat_1 X1v1_funct_1 X2v1_funct_2 X2 (k1_zfmisc_1 (u4_struct_0 X1)) (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X1)) (k1_zfmisc_1 (u1_struct_0 X1))))False)(∀X4 X2 X3 X1, (v1_conlat_1 X1False)(v1_xboole_0 X4False)(r2_hidden X3 (a_2_6_conlat_2 X1 X4)False)X2 = X3l1_conlat_1 X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X1)))r1_conlat_1 X1 X2 (esk20_4 X3 X1 X4 X2)False)(∀X3 X4 X2 X1, (v1_conlat_1 X1False)(r2_hidden X3 (a_2_7_conlat_2 X1 X4)False)X2 = X3l1_conlat_1 X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u4_struct_0 X1))r1_conlat_1 X1 X2 (esk22_4 X3 X1 X4 X2)False)(∀X3 X4 X2 X1, (v1_conlat_1 X1False)(r2_hidden X3 (a_2_1_conlat_1 X1 X4)False)X2 = X3l1_conlat_1 X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u4_struct_0 X1))r1_conlat_1 X1 X2 (esk17_4 X3 X1 X4 X2)False)(∀X1 X3 X2, ((k3_funct_2 (k1_zfmisc_1 (u4_struct_0 X2)) (k1_zfmisc_1 (u1_struct_0 X2)) X1 X3) = (a_2_1_conlat_1 X2 X3)False)(v1_conlat_1 X2False)X1 = (k2_conlat_1 X2)l1_conlat_1 X2v1_funct_1 X1m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))v1_funct_2 X1 (k1_zfmisc_1 (u4_struct_0 X2)) (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)) (k1_zfmisc_1 (u1_struct_0 X2))))False)(∀X2 X3 X4 X1, (v1_xboole_0 X1False)(m1_subset_1 (k3_funct_2 X1 X3 X2 X4) X3False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X4 X1 X2, (v1_conlat_1 X2False)(v1_xboole_0 X3False)(r2_hidden X1 (a_2_6_conlat_2 X2 X3)False)(r2_hidden (esk20_4 X1 X2 X3 X4) (k5_setfam_1 (u4_struct_0 X2) X3)False)X1 = X4l1_conlat_1 X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)))False)(∀X3 X4 X1 X2, (v1_conlat_1 X2False)(v1_xboole_0 X3False)(r2_hidden X1 (a_2_6_conlat_2 X2 X3)False)(m1_subset_1 (esk20_4 X1 X2 X3 X4) (u4_struct_0 X2)False)X1 = X4l1_conlat_1 X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)))False)(∀X4 X1 X3 X2, (v1_conlat_1 X2False)(v1_xboole_0 X4False)(r2_hidden X3 (a_2_5_conlat_2 X2 X4)False)X3 = (k3_funct_2 (k1_zfmisc_1 (u4_struct_0 X2)) (k1_zfmisc_1 (u1_struct_0 X2)) (k2_conlat_1 X2) X1)l1_conlat_1 X2r2_hidden X1 X4m1_subset_1 X1 (k1_zfmisc_1 (u4_struct_0 X2))m1_subset_1 X4 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)))False)(∀X1 X3 X4 X2, (v1_conlat_1 X2False)(r2_hidden X1 (a_2_7_conlat_2 X2 X3)False)(m1_subset_1 (esk22_4 X1 X2 X3 X4) (u4_struct_0 X2)False)X1 = X4l1_conlat_1 X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X1 X3 X4 X2, (v1_conlat_1 X2False)(r2_hidden X1 (a_2_1_conlat_1 X2 X3)False)(m1_subset_1 (esk17_4 X1 X2 X3 X4) (u4_struct_0 X2)False)X1 = X4l1_conlat_1 X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X1 X3 X4 X2, (v1_conlat_1 X2False)(r2_hidden X1 (a_2_7_conlat_2 X2 X3)False)(r2_hidden (esk22_4 X1 X2 X3 X4) X3False)X1 = X4l1_conlat_1 X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X1 X3 X4 X2, (v1_conlat_1 X2False)(r2_hidden X1 (a_2_1_conlat_1 X2 X3)False)(r2_hidden (esk17_4 X1 X2 X3 X4) X3False)X1 = X4l1_conlat_1 X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X2 X1, (X2 = (k2_conlat_1 X1)False)(v1_conlat_1 X1False)(m1_subset_1 (esk7_2 X1 X2) (k1_zfmisc_1 (u4_struct_0 X1))False)l1_conlat_1 X1v1_funct_1 X2v1_funct_2 X2 (k1_zfmisc_1 (u4_struct_0 X1)) (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X1)) (k1_zfmisc_1 (u1_struct_0 X1))))False)(∀X3 X1 X2, ((k3_funct_2 (k1_zfmisc_1 (u4_struct_0 X2)) (k1_zfmisc_1 (u1_struct_0 X2)) (k2_conlat_1 X2) (esk18_3 X1 X2 X3)) = X1False)(v1_conlat_1 X2False)(v1_xboole_0 X3False)l1_conlat_1 X2r2_hidden X1 (a_2_5_conlat_2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)))False)(∀X2 X3 X4 X1, ((k3_funct_2 X1 X3 X2 X4) = (k1_funct_1 X2 X4)False)(v1_xboole_0 X1False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X1 X4 X2, (v1_conlat_1 X2False)(v1_xboole_0 X3False)(r1_conlat_1 X2 (esk19_3 X4 X2 X3) X1False)l1_conlat_1 X2m1_subset_1 X1 (u4_struct_0 X2)r2_hidden X4 (a_2_6_conlat_2 X2 X3)r2_hidden X1 (k5_setfam_1 (u4_struct_0 X2) X3)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)))False)(∀X4 X1 X3 X2, (v1_conlat_1 X2False)(r1_conlat_1 X2 (esk21_3 X4 X2 X3) X1False)l1_conlat_1 X2r2_hidden X1 X3m1_subset_1 X1 (u4_struct_0 X2)r2_hidden X4 (a_2_7_conlat_2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X4 X1 X3 X2, (v1_conlat_1 X2False)(r1_conlat_1 X2 (esk16_3 X4 X2 X3) X1False)l1_conlat_1 X2r2_hidden X1 X3m1_subset_1 X1 (u4_struct_0 X2)r2_hidden X4 (a_2_1_conlat_1 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X3 X1 X2, (v1_conlat_1 X2False)(v1_xboole_0 X3False)(m1_subset_1 (esk18_3 X1 X2 X3) (k1_zfmisc_1 (u4_struct_0 X2))False)l1_conlat_1 X2r2_hidden X1 (a_2_5_conlat_2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)))False)(∀X3 X1 X2, (v1_conlat_1 X2False)(v1_xboole_0 X3False)(m1_subset_1 (esk19_3 X1 X2 X3) (u1_struct_0 X2)False)l1_conlat_1 X2r2_hidden X1 (a_2_6_conlat_2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)))False)(∀X3 X1 X2, (v1_conlat_1 X2False)(v1_xboole_0 X3False)(r2_hidden (esk18_3 X1 X2 X3) X3False)l1_conlat_1 X2r2_hidden X1 (a_2_5_conlat_2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)))False)(∀X1 X3 X2, (v1_conlat_1 X2False)(m1_subset_1 (esk21_3 X1 X2 X3) (u1_struct_0 X2)False)l1_conlat_1 X2r2_hidden X1 (a_2_7_conlat_2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X1 X3 X2, (v1_conlat_1 X2False)(m1_subset_1 (esk16_3 X1 X2 X3) (u1_struct_0 X2)False)l1_conlat_1 X2r2_hidden X1 (a_2_1_conlat_1 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X1, (v1_conlat_1 X1False)(m1_subset_1 (k2_conlat_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X1)) (k1_zfmisc_1 (u1_struct_0 X1))))False)l1_conlat_1 X1False)(∀X3 X1 X2, ((esk19_3 X1 X2 X3) = X1False)(v1_conlat_1 X2False)(v1_xboole_0 X3False)l1_conlat_1 X2r2_hidden X1 (a_2_6_conlat_2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X2)))False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)v1_xboole_0 X1v1_funct_1 X1v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X2 X1, (v1_partfun1 X2 X1False)v1_xboole_0 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_partfun1 X2 X3False)v1_funct_2 X2 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X3 X1 X2, (X2 = k1_xboole_0False)(r2_hidden X1 X3False)X3 = (k1_setfam_1 X2)r2_hidden X1 (esk3_3 X2 X3 X1)False)(∀X2 X1, (v1_partfun1 X1 X2False)v1_funct_2 X1 X2 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))False)(∀X2 X1, (v1_conlat_1 X1False)(v1_xboole_0 X2False)(m2_subset_1 (o_2_9_conlat_2 X1 X2) (k1_zfmisc_1 (u4_struct_0 X1)) X2False)l1_conlat_1 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X1)))False)(∀X3 X1 X2, (v1_funct_2 X1 X2 X3False)v1_partfun1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, ((esk21_3 X1 X2 X3) = X1False)(v1_conlat_1 X2False)l1_conlat_1 X2r2_hidden X1 (a_2_7_conlat_2 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X1 X3 X2, ((esk16_3 X1 X2 X3) = X1False)(v1_conlat_1 X2False)l1_conlat_1 X2r2_hidden X1 (a_2_1_conlat_1 X2 X3)m1_subset_1 X3 (k1_zfmisc_1 (u4_struct_0 X2))False)(∀X2 X1, (X1 = k1_xboole_0False)(X2 = (k1_setfam_1 X1)False)r2_hidden (esk4_2 X1 X2) X2r2_hidden (esk4_2 X1 X2) (esk5_2 X1 X2)False)(∀X2 X1, (v1_conlat_1 X1False)(v1_xboole_0 X2False)(m1_subset_1 (o_2_8_conlat_2 X1 X2) (a_2_5_conlat_2 X1 X2)False)l1_conlat_1 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 X1)))False)(∀X3 X2 X1, (X2 = (k3_tarski X1)False)r2_hidden X3 X1r2_hidden (esk9_2 X1 X2) X3r2_hidden (esk9_2 X1 X2) X2False)(∀X1 X2 X3, (r2_hidden (esk8_3 X1 X2 X3) X1False)X2 = (k3_tarski X1)r2_hidden X3 X2False)(∀X2 X3 X1, (r2_hidden X1 (esk8_3 X2 X3 X1)False)X3 = (k3_tarski X2)r2_hidden X1 X3False)(∀X2 X3 X1, (X1 = k1_xboole_0False)(r2_hidden X3 X2False)(r2_hidden (esk3_3 X1 X2 X3) X1False)X2 = (k1_setfam_1 X1)False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 X3 X1False)m2_subset_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 X1 X3False)m2_subset_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 X2)False)(∀X3 X1 X2, (v5_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X3 X1 X2, (v4_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk15_2 X1 X2) X1 X2False)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m2_subset_1 X1 X3 X2False)m1_subset_1 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X3 X2 X1, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2, (X2 = (k3_tarski X1)False)(r2_hidden (esk9_2 X1 X2) X2False)(r2_hidden (esk9_2 X1 X2) (esk10_2 X1 X2)False)False)(∀X2 X1, (X1 = k1_xboole_0False)(X2 = (k1_setfam_1 X1)False)(r2_hidden (esk5_2 X1 X2) X1False)r2_hidden (esk4_2 X1 X2) X2False)(∀X2 X3 X1, (X1 = k1_xboole_0False)(X2 = (k1_setfam_1 X1)False)(r2_hidden (esk4_2 X1 X2) X3False)(r2_hidden (esk4_2 X1 X2) X2False)r2_hidden X3 X1False)(∀X1, (v1_conlat_1 X1False)(v1_funct_2 (k2_conlat_1 X1) (k1_zfmisc_1 (u4_struct_0 X1)) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_conlat_1 X1False)(∀X1 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk38_2 X3 X2)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, (X2 = (k3_tarski X1)False)(r2_hidden (esk9_2 X1 X2) X2False)(r2_hidden (esk10_2 X1 X2) X1False)False)(∀X2 X1, (r1_tarski X1 X2False)r2_hidden (esk6_2 X1 X2) X2False)(∀X2 X3 X1, (v1_relat_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v4_funct_1 X3v5_relat_1 X1 X3False)(∀X2 X3 X1, (v1_funct_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v4_funct_1 X3v5_relat_1 X1 X3False)(∀X3 X1 X2 X4, (X4 = k1_xboole_0False)(r2_hidden X1 X3False)X2 = (k1_setfam_1 X4)r2_hidden X3 X4r2_hidden X1 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)(∀X3 X2 X1 X4, (r2_hidden X1 X4False)X4 = (k3_tarski X3)r2_hidden X2 X3r2_hidden X1 X2False)(∀X2 X1, (r2_hidden (esk38_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)r2_hidden X3 X1r1_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 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_xboole_0 (k2_zfmisc_1 X1 X2)False)(∀X1 X2, (r1_tarski X1 X2False)(r2_hidden (esk6_2 X1 X2) X1False)False)(∀X1 X2, (v1_funct_1 X2False)v1_funct_1 X1v1_relat_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1, (v1_conlat_1 X1False)(m1_subset_1 (esk37_1 X1) (k1_zfmisc_1 (u4_struct_0 X1))False)l5_struct_0 X1False)(∀X1, (v1_conlat_1 X1False)(m1_subset_1 (esk35_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l5_struct_0 X1False)(∀X2 X1, (X1 = X2False)r1_tarski X2 X1r1_tarski X1 X2False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1 X2, (v4_funct_1 X2False)v4_funct_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀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)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X2 X1, (v1_relat_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀X2 X1, (v1_funct_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk34_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 (esk30_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 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v1_conlat_1 X1False)l5_struct_0 X1v1_xboole_0 (esk37_1 X1)False)(∀X1, (v1_conlat_1 X1False)l5_struct_0 X1v1_xboole_0 (esk35_1 X1)False)(∀X1, (v1_conlat_1 X1False)l5_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v1_conlat_1 X1False)l5_struct_0 X1v1_xboole_0 (u4_struct_0 X1)False)(∀X1, (v3_funct_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_xboole_0 X1v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v2_funct_1 X1False)v1_xboole_0 X1v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk30_1 X1) X1False)False)(∀X1, (v1_conlat_1 X1False)(v1_funct_1 (k2_conlat_1 X1)False)l1_conlat_1 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk34_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk32_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk26_1 X1)False)(∀X2 X1, (r1_tarski X1 X2False)X1 = X2False)(∀X2 X1, (r1_tarski X1 X2False)X1 = X2False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk32_1 X1)False)False)(∀X2 X1, (X1 = k1_xboole_0False)X2 = k1_xboole_0X1 = (k1_setfam_1 X2)False)(∀X1, (l1_struct_0 X1False)l5_struct_0 X1False)(∀X1, (l5_struct_0 X1False)l1_conlat_1 X1False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_funct_1 X1False)v1_xboole_0 X1False)(∀X2 X1, (X1 = (k1_setfam_1 X2)False)X2 = k1_xboole_0X1 = k1_xboole_0False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)((k3_funct_2 (k1_zfmisc_1 (u4_struct_0 esk1_0)) (k1_zfmisc_1 (u1_struct_0 esk1_0)) (k2_conlat_1 esk1_0) (k5_setfam_1 (u4_struct_0 esk1_0) esk2_0)) = (k1_setfam_1 (a_2_5_conlat_2 esk1_0 esk2_0))False)(∀X1, v1_subset_1 (esk29_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v3_funct_1 esk31_0False)(v1_xboole_0 esk36_0False)(v1_xboole_0 esk2_0False)(v1_conlat_1 esk1_0False)(∀X2 X1, (m1_subset_1 (esk25_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk24_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (v1_funct_2 (esk24_2 X1 X2) X1 X2False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (k1_zfmisc_1 (u4_struct_0 esk1_0)))False)False)(∀X2 X1, (v5_relat_1 (esk33_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk25_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk24_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk33_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk25_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk24_2 X1 X2) X1False)False)(∀X1, (m1_subset_1 (k1_zfmisc_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 X1))False)False)(∀X1 X2, (v1_relat_1 (esk33_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk25_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk24_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk33_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk24_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk25_2 X1 X2)False)False)(∀X1, (m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk14_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, (v1_xboole_0 (esk28_1 X1)False)False)((l1_struct_0 esk12_0False)False)((l5_struct_0 esk13_0False)False)((v4_funct_1 esk36_0False)False)((v2_funct_1 esk27_0False)False)((v1_relat_1 esk31_0False)False)((v1_relat_1 esk27_0False)False)((v1_relat_1 esk23_0False)False)((v1_funct_1 esk31_0False)False)((v1_funct_1 esk27_0False)False)((v1_funct_1 esk23_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((l1_conlat_1 esk11_0False)False)((l1_conlat_1 esk1_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.