Theorem. (t58_transgeo)
∀r1_diraf : setsetsetsetprop, ∀esk26_3 : setsetsetset, ∀k1_funct_1 : setsetset, ∀r2_hidden : setsetprop, ∀v2_funct_1 : setprop, ∀v2_funct_2 : setsetprop, ∀v5_relat_1 : setsetprop, ∀v1_relat_1 : setprop, ∀v4_funct_1 : setprop, ∀esk21_1 : setset, ∀l1_struct_0 : setprop, ∀esk16_1 : setset, ∀k1_xboole_0 : set, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀esk22_0 : set, ∀esk19_0 : set, ∀esk12_2 : setsetset, ∀esk18_1 : setset, ∀esk9_1 : setset, ∀esk17_0 : set, ∀esk14_0 : set, ∀esk8_0 : set, ∀esk7_0 : set, ∀esk10_0 : set, ∀esk23_2 : setsetset, ∀esk11_2 : setsetset, ∀esk13_2 : setsetset, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk24_0 : set, ∀esk4_0 : set, ∀esk6_0 : set, ∀esk5_0 : set, ∀esk1_0 : set, ∀v3_funct_1 : setprop, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀r1_tarski : setsetprop, ∀esk15_1 : setset, ∀esk20_2 : setsetset, ∀v4_relat_1 : setsetprop, ∀v1_partfun1 : setsetprop, ∀v1_xboole_0 : setprop, ∀esk25_4 : setsetsetsetset, ∀v2_struct_0 : setprop, ∀r3_diraf : setsetsetsetprop, ∀r2_analoaf : setsetsetsetsetprop, ∀r2_diraf : setsetsetsetsetprop, ∀l1_analoaf : setprop, ∀v4_transgeo : setsetprop, ∀v3_funct_2 : setsetsetprop, ∀k2_zfmisc_1 : setsetset, ∀k1_zfmisc_1 : setset, ∀k3_funct_2 : setsetsetsetset, ∀v1_funct_2 : setsetsetprop, ∀m1_subset_1 : setsetprop, ∀u1_struct_0 : setset, ∀v1_funct_1 : setprop, ∀v2_analoaf : setprop, ∀v7_struct_0 : setprop, (∀X4 X5 X6 X3 X2 X1, (v7_struct_0 X1False)(r2_diraf X1 X3 X4 X5 X6False)v2_analoaf X1l1_analoaf X1v1_funct_1 X2v4_transgeo X2 X1m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)v1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1)v3_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))r2_diraf X1 (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 X3) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 X4) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 X5) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 X6)False)(∀X6 X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_diraf X1 (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X2) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X3) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X4) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X5)False)v2_analoaf X1l1_analoaf X1v1_funct_1 X6v4_transgeo X6 X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X2 X3 X4 X5v1_funct_2 X6 (u1_struct_0 X1) (u1_struct_0 X1)v3_funct_2 X6 (u1_struct_0 X1) (u1_struct_0 X1)m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))False)(∀X4 X3 X2 X5 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)(r2_analoaf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X2 X4 X3 X5r2_diraf X1 X2 X3 X4 X5False)(∀X3 X4 X2 X5 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X4 X3False)(r2_analoaf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X2 X4 X3 X5r2_diraf X1 X2 X3 X4 X5False)(∀X1 X4 X7 X6 X5 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r2_diraf X1 X4 X5 X6 X7False)v2_analoaf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X2 X3 X6 X7r2_diraf X1 X2 X3 X4 X5False)(∀X1 X4 X7 X6 X5 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r2_diraf X1 X4 X5 X6 X7False)v2_analoaf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X6 X7 X2 X3r2_diraf X1 X2 X3 X4 X5False)(∀X1 X4 X7 X6 X5 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r2_analoaf X1 X4 X5 X6 X7False)v2_analoaf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X4 X5 X2 X3r2_analoaf X1 X2 X3 X6 X7False)(∀X1 X2 X7 X6 X3 X4 X5, (X4 = X5False)(v7_struct_0 X1False)(r2_diraf X1 X2 X3 X6 X7False)v2_analoaf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X4 X5 X6 X7r2_diraf X1 X2 X3 X4 X5False)(∀X1 X2 X7 X6 X3 X4 X5, (X4 = X5False)(v7_struct_0 X1False)(r2_diraf X1 X2 X3 X6 X7False)v2_analoaf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X6 X7 X4 X5r2_diraf X1 X2 X3 X4 X5False)(∀X1 X6 X4 X5 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r3_diraf X1 X2 X4 X5False)(r2_analoaf X1 X4 X5 (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X5) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X4)False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X2) = X2v2_analoaf X1l1_analoaf X1v1_funct_1 X6v4_transgeo X6 X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)v1_funct_2 X6 (u1_struct_0 X1) (u1_struct_0 X1)v3_funct_2 X6 (u1_struct_0 X1) (u1_struct_0 X1)m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))r1_diraf X1 X3 X2 (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X3)False)(∀X5 X4 X3 X2 X1, (v7_struct_0 X1False)(r3_diraf X1 X3 X4 X5False)v2_analoaf X1l1_analoaf X1v1_funct_1 X2v4_transgeo X2 X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)v1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1)v3_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))r3_diraf X1 (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 X3) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 X4) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 X5)False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_diraf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X2 X3 X5 X4False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_diraf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X3 X2 X4 X5False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_diraf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X3 X2 X5 X4False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_diraf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X4 X5 X2 X3False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_diraf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X4 X5 X3 X2False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_diraf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X5 X4 X2 X3False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_diraf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X5 X4 X3 X2False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X3 X2 X5 X4False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X4 X5 X2 X3False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X5 X4 X3 X2False)(∀X1 X4 X5 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r1_diraf X1 X4 X2 (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X4)False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X2) = X2v2_analoaf X1l1_analoaf X1v1_funct_1 X5v4_transgeo X5 X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)v1_funct_2 X5 (u1_struct_0 X1) (u1_struct_0 X1)v3_funct_2 X5 (u1_struct_0 X1) (u1_struct_0 X1)m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))r1_diraf X1 X3 X2 (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X3)False)(∀X5 X4 X2 X3 X1, (v7_struct_0 X1False)(r3_diraf X1 (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X2) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X3) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X4)False)v2_analoaf X1l1_analoaf X1v1_funct_1 X5v4_transgeo X5 X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X2 X3 X4v1_funct_2 X5 (u1_struct_0 X1) (u1_struct_0 X1)v3_funct_2 X5 (u1_struct_0 X1) (u1_struct_0 X1)m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))False)(∀X1 X4 X5 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r3_diraf X1 X2 X3 X5False)v2_analoaf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X2 X3 X4r2_diraf X1 X2 X3 X4 X5False)(∀X3 X2 X4 X1, (v2_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_diraf X1 X2 X3 X2 X4False)(∀X3 X2 X4 X1, (v2_struct_0 X1False)(r1_diraf X1 X2 X3 X4False)l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X2 X3 X3 X4False)(∀X4 X3 X2 X1, (v7_struct_0 X1False)(r2_diraf X1 X2 X3 X4 (esk25_4 X1 X2 X3 X4)False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X3 X2 X1, (v7_struct_0 X1False)(r2_diraf X1 X2 X3 X4 (esk25_4 X1 X2 X4 X3)False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X2 X4 X1, (v2_struct_0 X1False)(r2_diraf X1 X2 X3 X2 X4False)l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X2 X3 X4False)(∀X3 X2 X4 X1, (v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X3 X4False)l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_diraf X1 X2 X3 X4False)(∀X1 X4 X5 X6 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r3_diraf X1 X4 X5 X6False)v2_analoaf X1l1_analoaf X1m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X2 X3 X6r3_diraf X1 X2 X3 X5r3_diraf X1 X2 X3 X4False)(∀X4 X3 X2 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X2 X3 X4False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X3 X2 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X4False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X2 X4 X3False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X3 X2 X4False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X3 X4 X2False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X4 X2 X3False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X4 X3 X2False)(∀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)(∀X1 X2 X3, (X2 = X3False)(v7_struct_0 X1False)v2_analoaf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r3_diraf X1 X2 X3 (esk26_3 X1 X2 X3)False)(∀X4 X3 X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk25_4 X1 X2 X3 X4) (u1_struct_0 X1)False)v2_analoaf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)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)(∀X2 X3 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X2 X3False)v2_analoaf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X2False)v2_analoaf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X3False)v2_analoaf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X2 X3 X4, (X3 = X4False)(k1_funct_1 X1 X3) = (k1_funct_1 X1 X4)v1_funct_1 X1v2_funct_1 X1r2_hidden X4 X2r2_hidden X3 X2v1_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_funct_1 X1v1_xboole_0 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)(∀X1 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(m1_subset_1 (esk26_3 X1 X2 X3) (u1_struct_0 X1)False)v2_analoaf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)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)(∀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_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, (v2_struct_0 X1False)(m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀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)(∀X1, l1_struct_0 X1v2_struct_0 X1v13_struct_0 X1 np__1False)(∀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_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 k1_xboole_0False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (v2_struct_0 X1False)(v13_struct_0 X1 np__1False)v7_struct_0 X1l1_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, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk21_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk15_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk16_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (u1_struct_0 X1)False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)l1_struct_0 X1v2_struct_0 X1False)(∀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_funct_1 X1v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v2_funct_1 X1False)v1_funct_1 X1v1_xboole_0 X1v1_relat_1 X1False)(∀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)v7_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_xboole_0 (u1_struct_0 X1)False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk15_1 X1)False)l1_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, (v8_struct_0 X1False)v7_struct_0 X1l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v7_struct_0 X1l1_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, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (l1_struct_0 X1False)l1_analoaf X1False)(∀X1, (v1_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r2_analoaf esk1_0 esk4_0 esk5_0 (k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk6_0 esk5_0) (k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk6_0 esk4_0)False)(v3_funct_1 esk22_0False)(v1_xboole_0 esk24_0False)(v1_xboole_0 esk19_0False)(v1_xboole_0 np__1False)(v7_struct_0 esk1_0False)(esk3_0 = esk2_0False)((r1_diraf esk1_0 esk3_0 esk2_0 (k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk6_0 esk3_0)False)False)(((k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk6_0 esk2_0) = esk2_0False)False)((r3_diraf esk1_0 esk2_0 esk4_0 esk5_0False)False)(∀X2 X1, (m1_subset_1 (esk13_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk12_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk11_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)((m1_subset_1 esk6_0 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0)))False)False)(∀X2 X1, (v1_funct_2 (esk11_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)((v3_funct_2 esk6_0 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0)False)False)((v1_funct_2 esk6_0 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0)False)False)(∀X2 X1, (v5_relat_1 (esk23_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk13_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk12_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk11_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk23_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk13_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk12_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk11_2 X1 X2) X1False)False)(∀X1 X2, (v1_relat_1 (esk23_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk13_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk12_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk11_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk13_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk23_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk12_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk11_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 (esk9_1 X1) X1False)False)((m1_subset_1 esk5_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk4_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk3_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)False)(∀X1, (r1_tarski X1 X1False)False)((v4_transgeo esk6_0 esk1_0False)False)(∀X1, (v1_relat_1 (esk18_1 X1)False)False)(∀X1, (v1_funct_1 (esk18_1 X1)False)False)((v4_funct_1 esk24_0False)False)((v2_funct_1 esk17_0False)False)((v1_relat_1 esk22_0False)False)((v1_relat_1 esk17_0False)False)((v1_relat_1 esk10_0False)False)((v1_xboole_0 esk14_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l1_struct_0 esk8_0False)False)((v1_funct_1 esk22_0False)False)((v1_funct_1 esk17_0False)False)((v1_funct_1 esk10_0False)False)((v1_funct_1 esk6_0False)False)((l1_analoaf esk7_0False)False)((l1_analoaf esk1_0False)False)((v2_analoaf esk1_0False)False)False
Proof:
The rest of the proof is missing.