Theorem. (t4_tmap_1)
∀r2_funct_2 : setsetsetsetprop, ∀k4_subset_1 : setsetsetset, ∀k1_tmap_1 : setsetsetsetsetsetset, ∀k2_partfun1 : setsetsetsetset, ∀k9_subset_1 : setsetsetset, ∀r2_relset_1 : setsetsetsetprop, ∀esk38_4 : setsetsetsetset, ∀k1_funct_1 : setsetset, ∀k2_xboole_0 : setsetset, ∀esk13_3 : setsetsetset, ∀k5_relat_1 : setsetset, ∀v5_relat_1 : setsetprop, ∀esk27_2 : setsetset, ∀v4_funct_1 : setprop, ∀v1_subset_1 : setsetprop, ∀v1_zfmisc_1 : setprop, ∀esk35_1 : setset, ∀esk31_1 : setset, ∀v2_funct_1 : setprop, ∀esk29_1 : setset, ∀esk32_0 : set, ∀esk30_0 : set, ∀esk18_0 : set, ∀esk4_0 : set, ∀esk9_0 : set, ∀esk19_2 : setsetset, ∀esk16_2 : setsetset, ∀esk34_2 : setsetset, ∀esk24_1 : setset, ∀esk14_1 : setset, ∀esk23_0 : set, ∀esk15_0 : set, ∀o_0_0_xboole_0 : set, ∀esk21_0 : set, ∀esk22_0 : set, ∀esk26_0 : set, ∀esk37_1 : setset, ∀esk28_2 : setsetset, ∀esk17_2 : setsetset, ∀esk25_0 : set, ∀esk36_0 : set, ∀esk2_0 : set, ∀esk11_0 : set, ∀esk10_0 : set, ∀esk8_0 : set, ∀esk12_0 : set, ∀esk3_0 : set, ∀esk7_0 : set, ∀esk1_0 : set, ∀esk6_0 : set, ∀esk5_0 : set, ∀v2_relat_1 : setprop, ∀v3_funct_1 : setprop, ∀esk20_1 : setset, ∀esk33_1 : setset, ∀v3_relat_1 : setprop, ∀k3_xboole_0 : setsetset, ∀v1_relat_1 : setprop, ∀v4_relat_1 : setsetprop, ∀v1_partfun1 : setsetprop, ∀k1_xboole_0 : set, ∀r1_tarski : setsetprop, ∀r2_hidden : setsetprop, ∀v1_funct_1 : setprop, ∀v1_funct_2 : setsetsetprop, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀r1_funct_2 : setsetsetsetsetsetprop, ∀v1_xboole_0 : setprop, (∀X1 X3 X4 X6 X5 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(r1_funct_2 X4 X1 X6 X2 X5 X3False)v1_funct_1 X5v1_funct_1 X3v1_funct_2 X5 X6 X2v1_funct_2 X3 X4 X1r1_funct_2 X4 X1 X6 X2 X3 X5m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X6 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1))False)(∀X3 X1 X6 X5 X7 X2 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(r2_funct_2 (k4_subset_1 X1 X3 X4) X2 X5 (k1_tmap_1 X1 X2 X3 X4 X6 X7)False)(k2_partfun1 (k4_subset_1 X1 X3 X4) X2 X5 X4) = X7(k2_partfun1 (k4_subset_1 X1 X3 X4) X2 X5 X3) = X6v1_funct_1 X7v1_funct_1 X6v1_funct_1 X5v1_funct_2 X7 X4 X2v1_funct_2 X6 X3 X2m1_subset_1 X4 (k1_zfmisc_1 X1)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X7 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))v1_funct_2 X5 (k4_subset_1 X1 X3 X4) X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k4_subset_1 X1 X3 X4) X2))False)(∀X3 X1 X5 X6 X2 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (k1_tmap_1 X1 X2 X3 X4 X5 X6) (k1_zfmisc_1 (k2_zfmisc_1 (k4_subset_1 X1 X3 X4) X2))False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X4 X2v1_funct_2 X5 X3 X2m1_subset_1 X4 (k1_zfmisc_1 X1)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X3 X1 X5 X6 X2 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_2 (k1_tmap_1 X1 X2 X3 X4 X5 X6) (k4_subset_1 X1 X3 X4) X2False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X4 X2v1_funct_2 X5 X3 X2m1_subset_1 X4 (k1_zfmisc_1 X1)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X3 X1 X5 X6 X2 X4, (v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_1 (k1_tmap_1 X1 X2 X3 X4 X5 X6)False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X4 X2v1_funct_2 X5 X3 X2m1_subset_1 X4 (k1_zfmisc_1 X1)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X7 X4 X5 X2 X3 X1 X6, ((k2_partfun1 (k4_subset_1 X1 X2 X3) X4 X5 X2) = X6False)(v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)X5 = (k1_tmap_1 X1 X4 X2 X3 X6 X7)(k2_partfun1 X2 X4 X6 (k9_subset_1 X1 X2 X3)) = (k2_partfun1 X3 X4 X7 (k9_subset_1 X1 X2 X3))v1_funct_1 X7v1_funct_1 X6v1_funct_1 X5v1_funct_2 X7 X3 X4v1_funct_2 X6 X2 X4m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)m1_subset_1 X7 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))v1_funct_2 X5 (k4_subset_1 X1 X2 X3) X4m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k4_subset_1 X1 X2 X3) X4))False)(∀X7 X4 X5 X3 X2 X1 X6, ((k2_partfun1 (k4_subset_1 X1 X2 X3) X4 X5 X3) = X6False)(v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)X5 = (k1_tmap_1 X1 X4 X2 X3 X7 X6)(k2_partfun1 X2 X4 X7 (k9_subset_1 X1 X2 X3)) = (k2_partfun1 X3 X4 X6 (k9_subset_1 X1 X2 X3))v1_funct_1 X7v1_funct_1 X6v1_funct_1 X5v1_funct_2 X7 X2 X4v1_funct_2 X6 X3 X4m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)m1_subset_1 X7 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))v1_funct_2 X5 (k4_subset_1 X1 X2 X3) X4m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k4_subset_1 X1 X2 X3) X4))False)(∀X4 X3 X1 X2 X5 X6, (X5 = X6False)(v1_xboole_0 X4False)(v1_xboole_0 X2False)v1_funct_1 X6v1_funct_1 X5v1_funct_2 X6 X3 X4v1_funct_2 X5 X1 X2r1_funct_2 X1 X2 X3 X4 X5 X6m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X1 X6 X5 X7 X2 X4, (X5 = (k1_tmap_1 X1 X4 X2 X3 X6 X7)False)(v1_xboole_0 X4False)(v1_xboole_0 X3False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(k2_partfun1 (k4_subset_1 X1 X2 X3) X4 X5 X3) = X7(k2_partfun1 (k4_subset_1 X1 X2 X3) X4 X5 X2) = X6(k2_partfun1 X2 X4 X6 (k9_subset_1 X1 X2 X3)) = (k2_partfun1 X3 X4 X7 (k9_subset_1 X1 X2 X3))v1_funct_1 X7v1_funct_1 X6v1_funct_1 X5v1_funct_2 X7 X3 X4v1_funct_2 X6 X2 X4m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)m1_subset_1 X7 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4))v1_funct_2 X5 (k4_subset_1 X1 X2 X3) X4m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k4_subset_1 X1 X2 X3) X4))False)(∀X4 X5 X3 X1 X2 X6, (v1_xboole_0 X6False)(v1_xboole_0 X4False)(r1_funct_2 X3 X4 X5 X6 X1 X2False)X1 = X2v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X5 X6v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X5 X6))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X1 X5 X3 X6 X4 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(r1_funct_2 X4 X1 X6 X2 X3 X3False)v1_funct_1 X5v1_funct_1 X3v1_funct_2 X5 X6 X2v1_funct_2 X3 X4 X1m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X6 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1))False)(∀X1 X3 X2 X4, (r2_relset_1 X2 X3 X1 X4False)(k1_funct_1 X1 (esk38_4 X2 X3 X1 X4)) = (k1_funct_1 X4 (esk38_4 X2 X3 X1 X4))v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X2 X1 X4, (r2_relset_1 X1 X2 X3 X4False)(r2_hidden (esk38_4 X1 X2 X3 X4) X1False)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X1 X2v1_funct_2 X3 X1 X2m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X1 X3 X2 X4, (r2_funct_2 X2 X3 X4 X1False)v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3r2_funct_2 X2 X3 X1 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X4 X1 X2 X3, (r2_relset_1 X2 X3 X4 X1False)r2_relset_1 X2 X3 X1 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2 X3 X4, (X3 = X4False)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X1 X2v1_funct_2 X3 X1 X2r2_funct_2 X1 X2 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X2 X4 X1, (m1_subset_1 (k2_partfun1 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))False)X1 = k1_xboole_0v1_funct_1 X3r1_tarski X4 X1v1_funct_2 X3 X1 X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X4 X1 X2, (X2 = k1_xboole_0False)(m1_subset_1 (k2_partfun1 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))False)v1_funct_1 X3r1_tarski X4 X1v1_funct_2 X3 X1 X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X2 X4 X1, (v1_funct_2 (k2_partfun1 X1 X2 X3 X4) X4 X2False)X1 = k1_xboole_0v1_funct_1 X3r1_tarski X4 X1v1_funct_2 X3 X1 X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X4 X1 X2, (X2 = k1_xboole_0False)(v1_funct_2 (k2_partfun1 X1 X2 X3 X4) X4 X2False)v1_funct_1 X3r1_tarski X4 X1v1_funct_2 X3 X1 X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X2 X4 X1, (v1_funct_1 (k2_partfun1 X1 X2 X3 X4)False)X1 = k1_xboole_0v1_funct_1 X3r1_tarski X4 X1v1_funct_2 X3 X1 X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X4 X1 X2, (X2 = k1_xboole_0False)(v1_funct_1 (k2_partfun1 X1 X2 X3 X4)False)v1_funct_1 X3r1_tarski X4 X1v1_funct_2 X3 X1 X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X2 X1 X3, (m1_subset_1 (k2_partfun1 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)v1_funct_1 X3m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X4 X1 X2, (r2_funct_2 X3 X4 X1 X2False)X1 = X2v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X4v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X4 X1 X3 X2, (r2_funct_2 X2 X3 X1 X1False)v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X1 X3 X4, (X3 = X4False)r2_relset_1 X1 X2 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X2 X1 X3, (v1_funct_1 (k2_partfun1 X1 X2 X3 X4)False)v1_funct_1 X3m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X3 X1 X2, (r2_relset_1 X3 X4 X1 X2False)X1 = X2m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X4 X1 X3 X2, (r2_relset_1 X2 X3 X1 X1False)m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2)False)r2_hidden (esk13_3 X1 X2 X3) X3r2_hidden (esk13_3 X1 X2 X3) X1False)(∀X2 X3 X1, (X3 = (k2_xboole_0 X1 X2)False)r2_hidden (esk13_3 X1 X2 X3) X3r2_hidden (esk13_3 X1 X2 X3) X2False)(∀X4 X3 X2 X1, ((k2_partfun1 X2 X3 X1 X4) = (k5_relat_1 X1 X4)False)v1_funct_1 X1m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2)False)(r2_hidden (esk13_3 X1 X2 X3) X3False)(r2_hidden (esk13_3 X1 X2 X3) X2False)(r2_hidden (esk13_3 X1 X2 X3) X1False)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)(∀X2 X1, (v1_partfun1 X1 X2False)v1_funct_2 X1 X2 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 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)(∀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)(∀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)(∀X2 X3 X1, (v1_xboole_0 X1False)v1_xboole_0 X2v1_partfun1 X3 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))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)(∀X3 X2 X1, (v1_partfun1 X2 X1False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))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, (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)(∀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)(∀X3 X2 X1, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (esk27_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)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)(∀X1 X2 X3, (v5_relat_1 (k2_xboole_0 X1 X3) X2False)v1_relat_1 X3v1_relat_1 X1v5_relat_1 X3 X2v5_relat_1 X1 X2False)(∀X1 X2 X3, (v4_relat_1 (k2_xboole_0 X1 X3) X2False)v1_relat_1 X3v1_relat_1 X1v4_relat_1 X3 X2v4_relat_1 X1 X2False)(∀X3 X2 X1, ((k1_funct_1 (k5_relat_1 X1 X3) X2) = (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1r2_hidden X2 X3False)(∀X3 X2 X1, ((k5_relat_1 (k5_relat_1 X1 X2) X3) = (k5_relat_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1r1_tarski X2 X3False)(∀X2 X3 X1, ((k5_relat_1 (k5_relat_1 X1 X2) X3) = (k5_relat_1 X1 X3)False)v1_funct_1 X1v1_relat_1 X1r1_tarski X3 X2False)(∀X3 X2 X1, (r1_tarski (k3_xboole_0 X1 X3) (k3_xboole_0 X2 X3)False)r1_tarski X1 X2False)(∀X3 X2 X1, ((k9_subset_1 X2 X3 X3) = X3False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1 X2 X3, (v5_relat_1 (k3_xboole_0 X1 X3) X2False)v1_relat_1 X3v1_relat_1 X1v5_relat_1 X1 X2False)(∀X1 X2 X3, (v4_relat_1 (k3_xboole_0 X1 X3) X2False)v1_relat_1 X3v1_relat_1 X1v4_relat_1 X1 X2False)(∀X1 X3 X2, (v5_relat_1 X3 X2False)v1_relat_1 X1v5_relat_1 X1 X2m1_subset_1 X3 (k1_zfmisc_1 X1)False)(∀X1 X3 X2, (v4_relat_1 X3 X2False)v1_relat_1 X1v4_relat_1 X1 X2m1_subset_1 X3 (k1_zfmisc_1 X1)False)(∀X3 X2 X1 X4, (r2_hidden X1 X4False)(r2_hidden X1 X3False)X2 = (k2_xboole_0 X3 X4)r2_hidden X1 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)(∀X2 X3 X1, (v5_relat_1 (k5_relat_1 X1 X2) X3False)v1_relat_1 X1v5_relat_1 X1 X3False)(∀X2 X3 X1, (v4_relat_1 (k5_relat_1 X1 X2) X2False)v1_relat_1 X1v4_relat_1 X1 X3False)(∀X2 X3 X1, (v4_relat_1 (k5_relat_1 X1 X2) X3False)v1_relat_1 X1v4_relat_1 X1 X3False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)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)(∀X2 X1, ((k5_relat_1 (k5_relat_1 X1 X2) X2) = (k5_relat_1 X1 X2)False)v1_relat_1 X1False)(∀X2 X4 X1 X3, (r2_hidden X1 X3False)X3 = (k2_xboole_0 X2 X4)r2_hidden X1 X2False)(∀X2 X4 X1 X3, (r2_hidden X1 X3False)X3 = (k2_xboole_0 X4 X2)r2_hidden X1 X2False)(∀X2 X3 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1v5_relat_1 X1 X3False)(∀X2 X3 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1v4_relat_1 X1 X3False)(∀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 (esk27_2 X1 X2)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_xboole_0 (k2_zfmisc_1 X1 X2)False)(∀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)(∀X2 X1, (v1_xboole_0 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v3_relat_1 X1False)(∀X1 X2, (v1_funct_1 X2False)v1_funct_1 X1v1_relat_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v5_relat_1 (esk27_2 X1 X2) X2False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v4_relat_1 (esk27_2 X1 X2) X1False)False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, ((k5_relat_1 X1 X2) = X1False)v1_relat_1 X1v4_relat_1 X1 X2False)(∀X2 X1, (v3_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1v3_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1v3_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_xboole_0 X1v1_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_xboole_0 X2v1_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k2_xboole_0 X1 X2)False)v1_relat_1 X2v1_relat_1 X1False)(∀X2 X1, (v1_funct_1 (k5_relat_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1False)(∀X2 X1, (v1_xboole_0 (k5_relat_1 X1 X2)False)v1_xboole_0 X1v1_relat_1 X1False)(∀X2 X1, (v1_xboole_0 (k5_relat_1 X1 X2)False)v1_xboole_0 X2v1_relat_1 X1False)(∀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_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 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 X2v1_relat_1 X1v5_relat_1 X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 X2v1_relat_1 X1v4_relat_1 X1 X2False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_relat_1 (esk27_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_1 (esk27_2 X1 X2)False)False)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1False)(∀X2 X1, (v1_relat_1 (k3_xboole_0 X1 X2)False)v1_relat_1 X1False)(∀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 (esk35_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk33_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 (esk20_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀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 (esk31_1 X1) X1False)False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk35_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk33_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk20_1 X1)False)(∀X1, (v2_relat_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v3_relat_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk33_1 X1)False)False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_relat_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r1_funct_2 (k4_subset_1 esk1_0 esk6_0 esk5_0) esk2_0 (k4_subset_1 esk1_0 esk3_0 esk7_0) esk2_0 (k1_tmap_1 esk1_0 esk2_0 esk6_0 esk5_0 esk11_0 esk10_0) (k1_tmap_1 esk1_0 esk2_0 esk3_0 esk7_0 esk8_0 esk12_0)False)(∀X1, v1_subset_1 (esk29_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v3_funct_1 esk32_0False)(v1_xboole_0 esk36_0False)(v1_xboole_0 esk30_0False)(v1_xboole_0 esk25_0False)(v1_xboole_0 esk18_0False)(v1_xboole_0 esk7_0False)(v1_xboole_0 esk6_0False)(v1_xboole_0 esk5_0False)(v1_xboole_0 esk4_0False)(v1_xboole_0 esk3_0False)(v1_xboole_0 esk2_0False)(v1_xboole_0 esk1_0False)((r1_funct_2 esk7_0 esk2_0 (k4_subset_1 esk1_0 esk4_0 esk5_0) esk2_0 esk12_0 (k1_tmap_1 esk1_0 esk2_0 esk4_0 esk5_0 esk9_0 esk10_0)False)False)((r1_funct_2 esk6_0 esk2_0 (k4_subset_1 esk1_0 esk3_0 esk4_0) esk2_0 esk11_0 (k1_tmap_1 esk1_0 esk2_0 esk3_0 esk4_0 esk8_0 esk9_0)False)False)(((k2_partfun1 esk5_0 esk2_0 esk10_0 (k9_subset_1 esk1_0 esk4_0 esk5_0)) = (k2_partfun1 esk4_0 esk2_0 esk9_0 (k9_subset_1 esk1_0 esk4_0 esk5_0))False)False)(((k2_partfun1 esk5_0 esk2_0 esk10_0 (k9_subset_1 esk1_0 esk3_0 esk5_0)) = (k2_partfun1 esk3_0 esk2_0 esk8_0 (k9_subset_1 esk1_0 esk3_0 esk5_0))False)False)(((k2_partfun1 esk4_0 esk2_0 esk9_0 (k9_subset_1 esk1_0 esk3_0 esk4_0)) = (k2_partfun1 esk3_0 esk2_0 esk8_0 (k9_subset_1 esk1_0 esk3_0 esk4_0))False)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, (m1_subset_1 (esk19_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk17_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk16_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (v1_funct_2 (esk16_2 X1 X2) X1 X2False)False)(∀X2 X3 X1, ((k2_xboole_0 (k2_xboole_0 X1 X2) X3) = (k2_xboole_0 X1 (k2_xboole_0 X2 X3))False)False)((m1_subset_1 esk12_0 (k1_zfmisc_1 (k2_zfmisc_1 esk7_0 esk2_0))False)False)((m1_subset_1 esk11_0 (k1_zfmisc_1 (k2_zfmisc_1 esk6_0 esk2_0))False)False)((m1_subset_1 esk10_0 (k1_zfmisc_1 (k2_zfmisc_1 esk5_0 esk2_0))False)False)((m1_subset_1 esk9_0 (k1_zfmisc_1 (k2_zfmisc_1 esk4_0 esk2_0))False)False)((m1_subset_1 esk8_0 (k1_zfmisc_1 (k2_zfmisc_1 esk3_0 esk2_0))False)False)((v1_funct_2 esk12_0 esk7_0 esk2_0False)False)((v1_funct_2 esk11_0 esk6_0 esk2_0False)False)((v1_funct_2 esk10_0 esk5_0 esk2_0False)False)((v1_funct_2 esk9_0 esk4_0 esk2_0False)False)((v1_funct_2 esk8_0 esk3_0 esk2_0False)False)(((k4_subset_1 esk1_0 esk4_0 esk5_0) = esk7_0False)False)(((k4_subset_1 esk1_0 esk3_0 esk4_0) = esk6_0False)False)(∀X1 X2, (r1_tarski (k3_xboole_0 X1 X2) X1False)False)(∀X2 X1, (v5_relat_1 (esk34_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk28_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk19_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk17_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk16_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk34_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk28_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk19_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk17_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk16_2 X1 X2) X1False)False)(∀X1 X2, (r1_tarski X1 (k2_xboole_0 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk34_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk28_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk19_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk17_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk16_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (k2_zfmisc_1 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk34_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk17_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk16_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk19_2 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 (esk29_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v4_relat_1 (esk37_1 X1) X1False)False)(∀X1, (m1_subset_1 (esk14_1 X1) X1False)False)((m1_subset_1 esk7_0 (k1_zfmisc_1 esk1_0)False)False)((m1_subset_1 esk6_0 (k1_zfmisc_1 esk1_0)False)False)((m1_subset_1 esk5_0 (k1_zfmisc_1 esk1_0)False)False)((m1_subset_1 esk4_0 (k1_zfmisc_1 esk1_0)False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 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, ((k2_xboole_0 X1 k1_xboole_0) = X1False)False)(∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0False)False)(∀X1, (v2_relat_1 (esk37_1 X1)False)False)(∀X1, (v1_relat_1 (esk37_1 X1)False)False)(∀X1, (v1_funct_1 (esk37_1 X1)False)False)(∀X1, (v1_xboole_0 (esk24_1 X1)False)False)((v4_funct_1 esk36_0False)False)((v2_relat_1 esk30_0False)False)((v2_relat_1 esk26_0False)False)((v2_relat_1 esk23_0False)False)((v2_funct_1 esk22_0False)False)((v1_relat_1 esk32_0False)False)((v1_relat_1 esk30_0False)False)((v1_relat_1 esk26_0False)False)((v1_relat_1 esk23_0False)False)((v1_relat_1 esk22_0False)False)((v1_relat_1 esk18_0False)False)((v1_relat_1 esk15_0False)False)((v1_funct_1 esk32_0False)False)((v1_funct_1 esk30_0False)False)((v1_funct_1 esk26_0False)False)((v1_funct_1 esk22_0False)False)((v1_funct_1 esk15_0False)False)((v1_funct_1 esk12_0False)False)((v1_funct_1 esk11_0False)False)((v1_funct_1 esk10_0False)False)((v1_funct_1 esk9_0False)False)((v1_funct_1 esk8_0False)False)((v1_xboole_0 esk21_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.