Theorem. (t21_transgeo)
∀esk6_3 : setsetsetset, ∀esk5_3 : setsetsetset, ∀r1_transgeo : setsetsetprop, ∀k1_funct_1 : setsetset, ∀k1_xboole_0 : set, ∀v1_relat_1 : setprop, ∀v1_partfun1 : setsetprop, ∀v5_relat_1 : setsetprop, ∀v4_funct_1 : setprop, ∀r1_tarski : setsetprop, ∀v3_funct_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk4_0 : set, ∀esk23_0 : set, ∀esk15_2 : setsetset, ∀esk13_2 : setsetset, ∀esk18_1 : setset, ∀esk17_0 : set, ∀esk16_0 : set, ∀esk12_0 : set, ∀esk11_1 : setset, ∀esk22_2 : setsetset, ∀esk14_2 : setsetset, ∀esk19_0 : set, ∀esk21_0 : set, ∀esk20_2 : setsetset, ∀v4_relat_1 : setsetprop, ∀v2_funct_1 : setprop, ∀k2_funct_1 : setset, ∀v2_funct_2 : setsetprop, ∀k3_relat_1 : setsetset, ∀k1_transgeo : setsetsetset, ∀k2_transgeo : setsetsetset, ∀k2_funct_2 : setsetset, ∀r2_transgeo : setsetsetprop, ∀v1_funct_2 : setsetsetprop, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀r2_hidden : setsetprop, ∀k4_tarski : setsetset, ∀esk7_3 : setsetsetset, ∀esk8_3 : setsetsetset, ∀esk9_3 : setsetsetset, ∀esk10_3 : setsetsetset, ∀k3_funct_2 : setsetsetsetset, ∀v3_funct_2 : setsetsetprop, ∀v1_funct_1 : setprop, ∀v1_xboole_0 : setprop, (∀X2 X3 X1, (v1_xboole_0 X1False)(r2_transgeo X1 X2 X3False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))r2_hidden (k4_tarski (k4_tarski (esk7_3 X1 X2 X3) (esk8_3 X1 X2 X3)) (k4_tarski (esk9_3 X1 X2 X3) (esk10_3 X1 X2 X3))) X3r2_hidden (k4_tarski (k4_tarski (k3_funct_2 X1 X1 X2 (esk7_3 X1 X2 X3)) (k3_funct_2 X1 X1 X2 (esk8_3 X1 X2 X3))) (k4_tarski (k3_funct_2 X1 X1 X2 (esk9_3 X1 X2 X3)) (k3_funct_2 X1 X1 X2 (esk10_3 X1 X2 X3)))) X3False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r2_transgeo X1 X2 X3False)(r2_hidden (k4_tarski (k4_tarski (esk7_3 X1 X2 X3) (esk8_3 X1 X2 X3)) (k4_tarski (esk9_3 X1 X2 X3) (esk10_3 X1 X2 X3))) X3False)(r2_hidden (k4_tarski (k4_tarski (k3_funct_2 X1 X1 X2 (esk7_3 X1 X2 X3)) (k3_funct_2 X1 X1 X2 (esk8_3 X1 X2 X3))) (k4_tarski (k3_funct_2 X1 X1 X2 (esk9_3 X1 X2 X3)) (k3_funct_2 X1 X1 X2 (esk10_3 X1 X2 X3)))) X3False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X7 X4 X3 X6 X5 X2 X1, (v1_xboole_0 X1False)(r2_hidden (k4_tarski (k4_tarski X3 X4) (k4_tarski X5 X6)) X7False)v1_funct_1 X2m1_subset_1 X6 X1m1_subset_1 X5 X1m1_subset_1 X4 X1m1_subset_1 X3 X1v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1r2_transgeo X1 X2 X7m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X7 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))r2_hidden (k4_tarski (k4_tarski (k3_funct_2 X1 X1 X2 X3) (k3_funct_2 X1 X1 X2 X4)) (k4_tarski (k3_funct_2 X1 X1 X2 X5) (k3_funct_2 X1 X1 X2 X6))) X7False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_transgeo X1 X2 X3False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))r2_hidden (k4_tarski (k4_tarski (esk5_3 X1 X2 X3) (esk6_3 X1 X2 X3)) (k4_tarski (k3_funct_2 X1 X1 X2 (esk5_3 X1 X2 X3)) (k3_funct_2 X1 X1 X2 (esk6_3 X1 X2 X3)))) X3False)(∀X7 X3 X1 X5 X2 X4 X6, (v1_xboole_0 X6False)(r2_hidden (k4_tarski (k4_tarski (k3_funct_2 X6 X6 X7 X1) (k3_funct_2 X6 X6 X7 X2)) (k4_tarski (k3_funct_2 X6 X6 X7 X3) (k3_funct_2 X6 X6 X7 X4))) X5False)v1_funct_1 X7m1_subset_1 X4 X6m1_subset_1 X3 X6m1_subset_1 X2 X6m1_subset_1 X1 X6v1_funct_2 X7 X6 X6v3_funct_2 X7 X6 X6r2_transgeo X6 X7 X5m1_subset_1 X7 (k1_zfmisc_1 (k2_zfmisc_1 X6 X6))r2_hidden (k4_tarski (k4_tarski X1 X2) (k4_tarski X3 X4)) X5m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X6 X6) (k2_zfmisc_1 X6 X6)))False)(∀X2 X4 X3 X5 X1, (v1_xboole_0 X1False)(r2_hidden (k4_tarski (k4_tarski X4 X5) (k4_tarski (k3_funct_2 X1 X1 X2 X4) (k3_funct_2 X1 X1 X2 X5))) X3False)v1_funct_1 X2m1_subset_1 X5 X1m1_subset_1 X4 X1v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1r1_transgeo X1 X2 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X2 X3 X4 X1, ((k3_funct_2 X1 X1 X2 X4) = X3False)(v1_xboole_0 X1False)(k3_funct_2 X1 X1 (k2_funct_2 X1 X2) X3) = X4v1_funct_1 X2m1_subset_1 X4 X1m1_subset_1 X3 X1v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X2 X3 X4 X1, ((k3_funct_2 X1 X1 (k2_funct_2 X1 X2) X4) = X3False)(v1_xboole_0 X1False)(k3_funct_2 X1 X1 X2 X3) = X4v1_funct_1 X2m1_subset_1 X4 X1m1_subset_1 X3 X1v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r2_transgeo X1 X2 X3False)(m1_subset_1 (esk10_3 X1 X2 X3) X1False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r2_transgeo X1 X2 X3False)(m1_subset_1 (esk9_3 X1 X2 X3) X1False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r2_transgeo X1 X2 X3False)(m1_subset_1 (esk8_3 X1 X2 X3) X1False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r2_transgeo X1 X2 X3False)(m1_subset_1 (esk7_3 X1 X2 X3) X1False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_transgeo X1 X2 X3False)(m1_subset_1 (esk6_3 X1 X2 X3) X1False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_transgeo X1 X2 X3False)(m1_subset_1 (esk5_3 X1 X2 X3) X1False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X3 X2 X1, ((k1_transgeo X1 (k2_funct_2 X1 X3) (k1_transgeo X1 X2 X3)) = (k2_transgeo X1 X2 X3)False)(v1_xboole_0 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 X1v1_funct_2 X2 X1 X1v3_funct_2 X3 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(m1_subset_1 (k2_transgeo X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 X1v1_funct_2 X2 X1 X1v3_funct_2 X3 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X2 X1 X3, (m1_subset_1 (k1_transgeo X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 X1v1_funct_2 X2 X1 X1v3_funct_2 X3 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v3_funct_2 (k2_transgeo X1 X2 X3) X1 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 X1v1_funct_2 X2 X1 X1v3_funct_2 X3 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_funct_2 (k2_transgeo X1 X2 X3) X1 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 X1v1_funct_2 X2 X1 X1v3_funct_2 X3 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X2 X1 X3, (v3_funct_2 (k1_transgeo X1 X2 X3) X1 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 X1v1_funct_2 X2 X1 X1v3_funct_2 X3 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X2 X1 X3, (v1_funct_2 (k1_transgeo X1 X2 X3) X1 X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 X1v1_funct_2 X2 X1 X1v3_funct_2 X3 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))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 X2 X1, (v1_xboole_0 X1False)(v1_funct_1 (k2_transgeo X1 X2 X3)False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 X1v1_funct_2 X2 X1 X1v3_funct_2 X3 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X2 X1 X3, (v1_funct_1 (k1_transgeo X1 X2 X3)False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 X1 X1v1_funct_2 X2 X1 X1v3_funct_2 X3 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X1 X3 X2, (v3_funct_2 (k3_relat_1 X1 X2) X3 X3False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X3v1_funct_2 X1 X3 X3v3_funct_2 X2 X3 X3v3_funct_2 X1 X3 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))False)(∀X1 X3 X2, (v1_funct_2 (k3_relat_1 X1 X2) X3 X3False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X3v1_funct_2 X1 X3 X3v3_funct_2 X2 X3 X3v3_funct_2 X1 X3 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))False)(∀X1 X2 X3, ((k1_transgeo X2 X1 X3) = (k3_relat_1 X1 X3)False)v1_funct_1 X3v1_funct_1 X1v1_funct_2 X3 X2 X2v1_funct_2 X1 X2 X2v3_funct_2 X3 X2 X2v3_funct_2 X1 X2 X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))False)(∀X3 X2 X1, (v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X3v1_funct_2 X1 X3 X3v3_funct_2 X2 X3 X3v3_funct_2 X1 X3 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))False)(∀X4 X3 X1 X2 X5, (v1_xboole_0 X5False)(v1_funct_2 (k3_relat_1 X1 X2) X3 X4False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X5 X4v1_funct_2 X1 X3 X5m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X5 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X5))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)(∀X1 X4 X3 X2, (v1_funct_2 (k3_relat_1 X1 X2) X3 X4False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X4v1_funct_2 X1 X3 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))False)(∀X1 X3 X4 X2, (v1_funct_2 (k3_relat_1 X1 X2) X3 X4False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X4 X4v1_funct_2 X1 X3 X4m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X4 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X1 X2 X4 X5 X3, (v1_xboole_0 X3False)(v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X5v1_funct_2 X1 X4 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X5))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3))False)(∀X3 X4 X2 X1, (v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X3v1_funct_2 X1 X4 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3))False)(∀X3 X4 X2 X1, (v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X4v1_funct_2 X1 X3 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))False)(∀X1 X2, (m1_subset_1 (k2_funct_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X1 X2, (v3_funct_2 (k2_funct_2 X1 X2) X1 X1False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X1 X2, (v1_funct_2 (k2_funct_2 X1 X2) X1 X1False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X1 X3 X2, (v2_funct_2 (k3_relat_1 X1 X2) X3False)v1_funct_1 X2v1_funct_1 X1v2_funct_2 X2 X3v2_funct_2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))False)(∀X1 X5 X4 X2 X3, (X3 = k1_xboole_0False)((k1_funct_1 (k3_relat_1 X1 X4) X5) = (k1_funct_1 X4 (k1_funct_1 X1 X5))False)v1_funct_1 X4v1_funct_1 X1v1_relat_1 X4r2_hidden X5 X2v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2, (v1_funct_1 (k2_funct_2 X1 X2)False)v1_funct_1 X2v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X3 X2 X1, (v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v2_funct_2 X2 X3v2_funct_2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X3))False)(∀X2 X1, ((k2_funct_2 X2 X1) = (k2_funct_1 X1)False)v1_funct_1 X1v1_funct_2 X1 X2 X2v3_funct_2 X1 X2 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 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 X1 X2, (v2_funct_2 X1 X2False)v1_funct_1 X1v3_funct_2 X1 X3 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))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)(∀X2 X3 X1, (v2_funct_1 X1False)v1_funct_1 X1v3_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X3 X1, (v3_funct_2 X1 X2 X3False)v1_funct_1 X1v2_funct_1 X1v2_funct_2 X1 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))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)(∀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, (v1_partfun1 X2 X1False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))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, (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 (esk20_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀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)(∀X1 X2, (v2_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v2_funct_1 X2v2_funct_1 X1False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v2_funct_1 X2v2_funct_1 X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_xboole_0 (esk20_2 X1 X2)False)(∀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 (esk20_2 X1 X2) X2False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v4_relat_1 (esk20_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)(∀X1 X2, (v4_funct_1 X2False)v4_funct_1 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 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_relat_1 (esk20_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_1 (esk20_2 X1 X2)False)False)(∀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, (v2_funct_1 (k2_funct_1 X1)False)v1_funct_1 X1v1_relat_1 X1v2_funct_1 X1False)(∀X1, (v1_relat_1 (k2_funct_1 X1)False)v1_funct_1 X1v1_relat_1 X1v2_funct_1 X1False)(∀X1, (v1_funct_1 (k2_funct_1 X1)False)v1_funct_1 X1v1_relat_1 X1v2_funct_1 X1False)(∀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_relat_1 (k2_funct_1 X1)False)v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v1_funct_1 (k2_funct_1 X1)False)v1_funct_1 X1v1_relat_1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v4_funct_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_transgeo esk1_0 (k2_transgeo esk1_0 esk2_0 esk3_0) esk4_0False)(v3_funct_1 esk21_0False)(v1_xboole_0 esk23_0False)(v1_xboole_0 esk19_0False)(v1_xboole_0 esk1_0False)((m1_subset_1 esk4_0 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 esk1_0 esk1_0) (k2_zfmisc_1 esk1_0 esk1_0)))False)False)(∀X2 X1, (m1_subset_1 (esk15_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk14_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk13_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (v1_funct_2 (esk13_2 X1 X2) X1 X2False)False)(∀X1, (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)False)(∀X1, (v3_funct_2 (esk18_1 X1) X1 X1False)False)(∀X1, (v1_funct_2 (esk18_1 X1) X1 X1False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 esk1_0))False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 esk1_0))False)False)((r2_transgeo esk1_0 esk3_0 esk4_0False)False)((r1_transgeo esk1_0 esk2_0 esk4_0False)False)((v3_funct_2 esk3_0 esk1_0 esk1_0False)False)((v3_funct_2 esk2_0 esk1_0 esk1_0False)False)((v1_funct_2 esk3_0 esk1_0 esk1_0False)False)((v1_funct_2 esk2_0 esk1_0 esk1_0False)False)(∀X2 X1, (v5_relat_1 (esk22_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk15_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk14_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk13_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk22_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk15_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk14_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk13_2 X1 X2) X1False)False)(∀X1 X2, (v1_relat_1 (esk22_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk15_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk14_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk13_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk22_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk14_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk13_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk15_2 X1 X2)False)False)(∀X1, (v5_relat_1 (esk18_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk18_1 X1) X1False)False)(∀X1, (v1_partfun1 (esk18_1 X1) X1False)False)(∀X1, (m1_subset_1 (esk11_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, (v1_relat_1 (esk18_1 X1)False)False)(∀X1, (v1_funct_1 (esk18_1 X1)False)False)((v4_funct_1 esk23_0False)False)((v2_funct_1 esk17_0False)False)((v1_relat_1 esk21_0False)False)((v1_relat_1 esk17_0False)False)((v1_relat_1 esk12_0False)False)((v1_funct_1 esk21_0False)False)((v1_funct_1 esk17_0False)False)((v1_funct_1 esk12_0False)False)((v1_funct_1 esk3_0False)False)((v1_funct_1 esk2_0False)False)((v1_xboole_0 esk16_0False)False)((v1_xboole_0 k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.