Theorem. (t62_funct_5)
∀k1_funct_4 : setsetset, ∀k1_funct_1 : setsetset, ∀esk5_3 : setsetsetset, ∀v1_relat_1 : setprop, ∀v1_funct_1 : setprop, ∀k2_xboole_0 : setsetset, ∀k9_xtuple_0 : setset, ∀esk13_3 : setsetsetset, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀esk9_3 : setsetsetset, ∀v5_relat_1 : setsetprop, ∀v1_xboole_0 : setprop, ∀k2_xtuple_0 : setset, ∀k1_xtuple_0 : setset, ∀esk12_2 : setsetset, ∀v1_subset_1 : setsetprop, ∀r2_tarski : setsetprop, ∀v3_funct_1 : setprop, ∀esk36_1 : setset, ∀esk32_1 : setset, ∀k1_xboole_0 : set, ∀esk30_1 : setset, ∀esk37_0 : set, ∀esk27_0 : set, ∀esk20_2 : setsetset, ∀esk35_2 : setsetset, ∀esk26_1 : setset, ∀esk17_1 : setset, ∀esk23_0 : set, ∀esk25_0 : set, ∀esk18_0 : set, ∀esk22_0 : set, ∀o_0_0_xboole_0 : set, ∀esk24_0 : set, ∀esk28_0 : set, ∀v1_card_1 : setprop, ∀esk38_1 : setset, ∀esk29_2 : setsetset, ∀esk19_0 : set, ∀esk31_0 : set, ∀esk33_0 : set, ∀esk21_1 : setset, ∀esk34_1 : setset, ∀v1_setfam_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀v3_relat_1 : setprop, ∀esk16_2 : setsetset, ∀esk14_1 : setset, ∀esk15_1 : setset, ∀v4_funct_1 : setprop, ∀v1_xtuple_0 : setprop, ∀v2_relat_1 : setprop, ∀esk11_2 : setsetset, ∀r1_xboole_0 : setsetprop, ∀v4_relat_1 : setsetprop, ∀v2_funct_1 : setprop, ∀esk10_2 : setsetset, ∀esk40_2 : setsetset, ∀esk7_3 : setsetsetset, ∀esk8_3 : setsetsetset, ∀esk39_3 : setsetsetset, ∀k2_tarski : setsetset, ∀k5_relat_1 : setsetset, ∀k1_tarski : setset, ∀esk4_0 : set, ∀k1_card_1 : setset, ∀r2_wellord2 : setsetprop, ∀k2_zfmisc_1 : setsetset, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀r1_tarski : setsetprop, ∀esk6_4 : setsetsetsetset, ∀k10_xtuple_0 : setset, ∀k1_funct_2 : setsetset, ∀r2_hidden : setsetprop, (∀X2 X1 X3 X4, (r1_tarski (k10_xtuple_0 (esk6_4 X1 X2 X3 X4)) X2False)X3 = (k1_funct_2 X1 X2)r2_hidden X4 X3False)(∀X2 X1 X3, (X1 = (k1_funct_4 X2 X3)False)(k9_xtuple_0 X1) = (k2_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3))(k1_funct_1 X1 (esk5_3 X2 X3 X1)) = (k1_funct_1 X3 (esk5_3 X2 X3 X1))(k1_funct_1 X1 (esk5_3 X2 X3 X1)) = (k1_funct_1 X2 (esk5_3 X2 X3 X1))v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1False)(∀X2 X1 X3, (X3 = (k1_funct_4 X1 X2)False)(k9_xtuple_0 X3) = (k2_xboole_0 (k9_xtuple_0 X1) (k9_xtuple_0 X2))(k1_funct_1 X2 (esk5_3 X1 X2 X3)) = (k1_funct_1 X3 (esk5_3 X1 X2 X3))v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1r2_hidden (esk5_3 X1 X2 X3) (k9_xtuple_0 X2)False)(∀X2 X1 X3, (X1 = (k1_funct_4 X2 X3)False)(r2_hidden (esk5_3 X2 X3 X1) (k9_xtuple_0 X3)False)(k9_xtuple_0 X1) = (k2_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3))(k1_funct_1 X1 (esk5_3 X2 X3 X1)) = (k1_funct_1 X2 (esk5_3 X2 X3 X1))v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1False)((k1_card_1 (k2_zfmisc_1 (k1_funct_2 esk1_0 esk4_0) (k1_funct_2 esk2_0 esk4_0))) = (k1_card_1 (k1_funct_2 (k2_xboole_0 esk1_0 esk2_0) esk4_0))r2_wellord2 (k1_funct_2 (k2_xboole_0 esk1_0 esk2_0) esk3_0) (k2_zfmisc_1 (k1_funct_2 esk1_0 esk3_0) (k1_funct_2 esk2_0 esk3_0))False)(∀X2 X1 X3 X4, ((k9_xtuple_0 (esk6_4 X1 X2 X3 X4)) = X1False)X3 = (k1_funct_2 X1 X2)r2_hidden X4 X3False)(∀X2 X1 X3 X4, (v1_relat_1 (esk6_4 X1 X2 X3 X4)False)X3 = (k1_funct_2 X1 X2)r2_hidden X4 X3False)(∀X2 X1 X3 X4, (v1_funct_1 (esk6_4 X1 X2 X3 X4)False)X3 = (k1_funct_2 X1 X2)r2_hidden X4 X3False)(∀X4 X2 X3 X1, ((k1_funct_1 (esk39_3 X2 X3 X4) X1) = (k2_tarski (k2_tarski (k5_relat_1 X1 X2) (k5_relat_1 X1 X3)) (k1_tarski (k5_relat_1 X1 X2)))False)v1_funct_1 X1v1_relat_1 X1r2_hidden X1 (k1_funct_2 (k2_xboole_0 X2 X3) X4)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)(∀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, (X3 = (k1_funct_2 X1 X2)False)(r2_hidden (esk7_3 X1 X2 X3) X3False)(r1_tarski (k10_xtuple_0 (esk8_3 X1 X2 X3)) X2False)False)(∀X4 X1 X2 X3, (X3 = (k1_funct_2 X1 X2)False)(k9_xtuple_0 X4) = X1(esk7_3 X1 X2 X3) = X4v1_funct_1 X4v1_relat_1 X4r1_tarski (k10_xtuple_0 X4) X2r2_hidden (esk7_3 X1 X2 X3) X3False)(∀X3 X2 X4 X1, ((esk6_4 X2 X3 X4 X1) = X1False)X4 = (k1_funct_2 X2 X3)r2_hidden X1 X4False)(∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4))False)(∀X2 X4 X3 X1, (v1_relat_1 (k10_xtuple_0 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 (k2_zfmisc_1 X3 X4)))False)(∀X2 X1 X3, (X3 = (k1_funct_4 X1 X2)False)(r2_hidden (esk5_3 X1 X2 X3) (k2_xboole_0 (k9_xtuple_0 X1) (k9_xtuple_0 X2))False)(k9_xtuple_0 X3) = (k2_xboole_0 (k9_xtuple_0 X1) (k9_xtuple_0 X2))v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1False)(∀X3 X2 X1, (X3 = (k1_funct_2 X1 X2)False)((k9_xtuple_0 (esk8_3 X1 X2 X3)) = X1False)(r2_hidden (esk7_3 X1 X2 X3) X3False)False)(∀X3 X2 X1, (X3 = (k1_funct_2 X1 X2)False)(v1_relat_1 (esk8_3 X1 X2 X3)False)(r2_hidden (esk7_3 X1 X2 X3) X3False)False)(∀X3 X2 X1, (X3 = (k1_funct_2 X1 X2)False)(v1_funct_1 (esk8_3 X1 X2 X3)False)(r2_hidden (esk7_3 X1 X2 X3) X3False)False)(∀X3 X2 X1, (X3 = (k1_funct_2 X1 X2)False)((esk7_3 X1 X2 X3) = (esk8_3 X1 X2 X3)False)(r2_hidden (esk7_3 X1 X2 X3) X3False)False)(∀X4 X2 X1 X3, ((k1_funct_1 X2 X1) = (k1_funct_1 X3 X1)False)X3 = (k1_funct_4 X4 X2)v1_funct_1 X4v1_funct_1 X3v1_funct_1 X2v1_relat_1 X4v1_relat_1 X3v1_relat_1 X2r2_hidden X1 (k9_xtuple_0 X2)r2_hidden X1 (k2_xboole_0 (k9_xtuple_0 X4) (k9_xtuple_0 X2))False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)r2_hidden (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) (k2_zfmisc_1 X2 X4)False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)r2_hidden (k2_tarski (k2_tarski X3 X1) (k1_tarski X3)) (k2_zfmisc_1 X4 X2)False)(∀X2 X3 X1 X4, ((k1_funct_1 X3 X1) = (k1_funct_1 X4 X1)False)(r2_hidden X1 (k9_xtuple_0 X2)False)X3 = (k1_funct_4 X4 X2)v1_funct_1 X4v1_funct_1 X3v1_funct_1 X2v1_relat_1 X4v1_relat_1 X3v1_relat_1 X2r2_hidden X1 (k2_xboole_0 (k9_xtuple_0 X4) (k9_xtuple_0 X2))False)(∀X4 X3 X2 X1, (r2_hidden (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) (k2_zfmisc_1 X2 X4)False)r2_hidden X3 X4r2_hidden X1 X2False)(∀X3 X2 X1, (r2_hidden (esk9_3 X1 X2 X3) (k9_xtuple_0 X1)False)X2 = (k10_xtuple_0 X1)v1_funct_1 X1v1_relat_1 X1r2_hidden X3 X2False)(∀X1 X2, (X1 = X2False)(k9_xtuple_0 X1) = (k9_xtuple_0 X2)(k1_funct_1 X1 (esk40_2 X1 X2)) = (k1_funct_1 X2 (esk40_2 X1 X2))v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X3 X2, ((k1_funct_1 X2 (esk9_3 X2 X3 X1)) = X1False)X3 = (k10_xtuple_0 X2)v1_funct_1 X2v1_relat_1 X2r2_hidden X1 X3False)(∀X3 X2 X1, (X2 = (k10_xtuple_0 X1)False)(esk10_2 X1 X2) = (k1_funct_1 X1 X3)v1_funct_1 X1v1_relat_1 X1r2_hidden X3 (k9_xtuple_0 X1)r2_hidden (esk10_2 X1 X2) X2False)(∀X1 X2, (r1_tarski (k10_xtuple_0 (k1_funct_4 X1 X2)) (k2_xboole_0 (k10_xtuple_0 X1) (k10_xtuple_0 X2))False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X3 X4 X1 X2, (X1 = X2False)(k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) = (k2_tarski (k2_tarski X2 X4) (k1_tarski X2))False)(∀X3 X4 X1 X2, (X1 = X2False)(k2_tarski (k2_tarski X3 X1) (k1_tarski X3)) = (k2_tarski (k2_tarski X4 X2) (k1_tarski X4))False)(∀X1 X2 X3, (X2 = X3False)(k1_funct_1 X1 X2) = (k1_funct_1 X1 X3)v1_funct_1 X1v1_relat_1 X1v2_funct_1 X1r2_hidden X3 (k9_xtuple_0 X1)r2_hidden X2 (k9_xtuple_0 X1)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, ((k5_relat_1 (k1_funct_4 X1 X2) (k9_xtuple_0 X1)) = X1False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1r1_xboole_0 (k9_xtuple_0 X1) (k9_xtuple_0 X2)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_relat_1 X1v1_xboole_0 (k5_relat_1 X1 X2)m1_subset_1 X2 (k1_zfmisc_1 (k9_xtuple_0 X1))False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)((k1_funct_1 X1 (esk11_2 X1 X2)) = (esk10_2 X1 X2)False)(r2_hidden (esk10_2 X1 X2) X2False)v1_funct_1 X1v1_relat_1 X1False)(∀X1 X2, ((k2_tarski (k2_tarski (k1_xtuple_0 X2) (k2_xtuple_0 X2)) (k1_tarski (k1_xtuple_0 X2))) = X2False)v1_relat_1 X1r2_hidden X2 X1False)(∀X4 X3 X2 X1, (r1_tarski (k2_xboole_0 X1 X3) (k2_xboole_0 X2 X4)False)r1_tarski X3 X4r1_tarski X1 X2False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)(r2_hidden (esk10_2 X1 X2) X2False)(r2_hidden (esk11_2 X1 X2) (k9_xtuple_0 X1)False)v1_funct_1 X1v1_relat_1 X1False)(∀X2 X1, (v1_xboole_0 X1False)v1_funct_1 X1v1_relat_1 X1v2_relat_1 X1v1_xboole_0 (k1_funct_1 X1 X2)m1_subset_1 X2 (k9_xtuple_0 X1)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)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1m1_subset_1 X2 (k1_zfmisc_1 (k9_xtuple_0 X1))False)(∀X2 X1 X3, ((k9_xtuple_0 X1) = (k2_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3))False)X1 = (k1_funct_4 X2 X3)v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1False)(∀X1 X4 X3 X2 X5, (r2_hidden X2 X5False)X1 = X2(k9_xtuple_0 X1) = X3X5 = (k1_funct_2 X3 X4)v1_funct_1 X1v1_relat_1 X1r1_tarski (k10_xtuple_0 X1) X4False)(∀X2 X1 X3 X4, (r2_hidden X3 X4False)X4 = (k10_xtuple_0 X2)X3 = (k1_funct_1 X2 X1)v1_funct_1 X2v1_relat_1 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀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)(∀X1, ((k2_tarski (k2_tarski (k1_xtuple_0 X1) (k2_xtuple_0 X1)) (k1_tarski (k1_xtuple_0 X1))) = X1False)v1_xtuple_0 X1False)(∀X1 X2, (X1 = X2False)(r2_hidden (esk40_2 X1 X2) (k9_xtuple_0 X1)False)(k9_xtuple_0 X1) = (k9_xtuple_0 X2)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X2 X1, (r1_tarski (k10_xtuple_0 (k5_relat_1 X1 X2)) (k10_xtuple_0 X1)False)v1_relat_1 X1False)(∀X3 X1 X2, (r2_hidden (k2_xtuple_0 X1) X2False)r2_hidden X1 (k2_zfmisc_1 X3 X2)False)(∀X3 X1 X2, (r2_hidden (k1_xtuple_0 X1) X2False)r2_hidden X1 (k2_zfmisc_1 X2 X3)False)(∀X2 X1, (r1_tarski X1 X2False)r2_hidden (esk12_2 X1 X2) 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)(∀X1 X2, ((k5_relat_1 (k1_funct_4 X1 X2) (k9_xtuple_0 X2)) = X2False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀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 X1, ((k9_xtuple_0 (k5_relat_1 X1 X2)) = X2False)v1_relat_1 X1r1_tarski X2 (k9_xtuple_0 X1)False)(∀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 X3, (r1_tarski X1 X3False)r1_tarski X2 X3r1_tarski X1 X2False)(∀X1 X3 X2, (r2_hidden X3 X2False)r2_hidden X3 X1r1_tarski X1 X2False)(∀X1, ((k1_funct_1 X1 (esk15_1 X1)) = (k1_funct_1 X1 (esk14_1 X1))False)(v2_funct_1 X1False)v1_funct_1 X1v1_relat_1 X1False)(∀X1 X2, (v4_funct_1 (k2_tarski X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v1_relat_1 (k1_funct_4 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v1_funct_1 (k1_funct_4 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 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 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 (esk12_2 X1 X2) X1False)False)(∀X2 X1, ((k10_xtuple_0 (esk16_2 X1 X2)) = X2False)r2_wellord2 X1 X2False)(∀X2 X1, ((k9_xtuple_0 (esk16_2 X1 X2)) = X1False)r2_wellord2 X1 X2False)(∀X2 X1, (v2_funct_1 (esk16_2 X1 X2)False)r2_wellord2 X1 X2False)(∀X2 X1, (v1_relat_1 (esk16_2 X1 X2)False)r2_wellord2 X1 X2False)(∀X2 X1, (v1_funct_1 (esk16_2 X1 X2)False)r2_wellord2 X1 X2False)(∀X1 X2 X3, (r2_wellord2 X2 X3False)(k9_xtuple_0 X1) = X2(k10_xtuple_0 X1) = X3v1_funct_1 X1v1_relat_1 X1v2_funct_1 X1False)(∀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)(∀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)(∀X1, (v2_funct_1 X1False)(r2_hidden (esk15_1 X1) (k9_xtuple_0 X1)False)v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v2_funct_1 X1False)(r2_hidden (esk14_1 X1) (k9_xtuple_0 X1)False)v1_funct_1 X1v1_relat_1 X1False)(∀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, ((k1_funct_4 X1 X1) = X1False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀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)(∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2)False)v1_relat_1 X1False)(∀X2 X1, (r2_tarski X1 X2False)r2_wellord2 X1 X2False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X2 X1, (r2_wellord2 X1 X2False)r2_tarski X1 X2False)(∀X2 X1, (r2_wellord2 X2 X1False)r2_wellord2 X1 X2False)(∀X2 X1, (r1_xboole_0 X2 X1False)r1_xboole_0 X1 X2False)(∀X1, (v1_zfmisc_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 (k9_xtuple_0 X1)False)(∀X1, (v3_funct_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 (k10_xtuple_0 X1)False)(∀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_setfam_1 (k10_xtuple_0 X1)False)v1_funct_1 X1v1_relat_1 X1v2_relat_1 X1False)(∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1)False)v1_funct_1 X1v1_relat_1 X1v3_funct_1 X1False)(∀X1, (v2_funct_1 X1False)(esk15_1 X1) = (esk14_1 X1)v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk36_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 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 (esk21_1 X1) (k1_zfmisc_1 X1)False)False)(∀X2 X1, ((k1_card_1 X1) = (k1_card_1 X2)False)r2_wellord2 X1 X2False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v1_xboole_0 X1False)v1_relat_1 X1v1_xboole_0 (k10_xtuple_0 X1)False)(∀X1, (v1_xboole_0 X1False)v1_relat_1 X1v1_xboole_0 (k9_xtuple_0 X1)False)(∀X1, ((k5_relat_1 X1 (k9_xtuple_0 X1)) = X1False)v1_relat_1 X1False)(∀X2 X1, (r2_wellord2 X1 X2False)(k1_card_1 X1) = (k1_card_1 X2)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 (esk32_1 X1) X1False)False)(∀X1, (v4_funct_1 (k1_tarski X1)False)v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1)False)v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v1_zfmisc_1 (k9_xtuple_0 X1)False)v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk36_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk34_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk21_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, (r1_tarski X1 X2False)X1 = X2False)(∀X2 X1, (r1_tarski X1 X2False)X1 = X2False)(∀X1, (v1_xboole_0 (k10_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X1, (v1_xboole_0 (k10_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X1, (v1_xboole_0 (k9_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X1, (v1_xboole_0 (k9_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk34_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)(∀X1 X2, v1_xboole_0 (k2_tarski X1 X2)False)(∀X1, v1_subset_1 (esk30_1 X1) X1False)(∀X1, v1_xboole_0 (k1_tarski X1)False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v3_funct_1 esk33_0False)(v1_xboole_0 esk37_0False)(v1_xboole_0 esk31_0False)(v1_xboole_0 esk27_0False)(v1_xboole_0 esk19_0False)(∀X1 X2 X3 X4, (v1_relat_1 (k2_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) (k2_tarski (k2_tarski X3 X4) (k1_tarski X3)))False)False)(∀X1 X2, (v1_relat_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)))False)False)(∀X1 X2, (v1_funct_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)))False)False)(∀X2 X1 X3, ((k9_xtuple_0 (esk39_3 X1 X2 X3)) = (k1_funct_2 (k2_xboole_0 X1 X2) X3)False)False)(∀X3 X2 X1, (v1_relat_1 (esk39_3 X1 X2 X3)False)False)(∀X3 X2 X1, (v1_funct_1 (esk39_3 X1 X2 X3)False)False)(∀X2 X1, (m1_subset_1 (esk20_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, ((k2_xtuple_0 (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))) = X2False)False)(∀X1 X2, ((k1_xtuple_0 (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))) = X1False)False)(∀X2 X1, (v1_xtuple_0 (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))False)False)(∀X2 X1, (v5_relat_1 (esk35_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk29_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk20_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk35_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk29_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk20_2 X1 X2) X1False)False)(∀X1 X2, (r1_tarski X1 (k2_xboole_0 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk35_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk29_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk20_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (k2_zfmisc_1 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk35_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk20_2 X1 X2)False)False)(∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1)False)False)(∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1)False)False)(∀X1, (m1_subset_1 (esk30_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v4_relat_1 (esk38_1 X1) X1False)False)(∀X1, (m1_subset_1 (esk17_1 X1) X1False)False)(∀X1, ((k2_xboole_0 X1 X1) = X1False)False)(∀X1, ((k1_card_1 (k1_card_1 X1)) = (k1_card_1 X1)False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, (r2_wellord2 X1 X1False)False)(∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1False)False)((r1_xboole_0 esk1_0 esk2_0False)False)(∀X1, (v1_card_1 (k1_card_1 X1)False)False)(∀X1, (v2_relat_1 (esk38_1 X1)False)False)(∀X1, (v1_relat_1 (esk38_1 X1)False)False)(∀X1, (v1_funct_1 (esk38_1 X1)False)False)(∀X1, (v1_xboole_0 (esk26_1 X1)False)False)((v1_xtuple_0 esk23_0False)False)((v4_funct_1 esk37_0False)False)((v2_relat_1 esk31_0False)False)((v2_relat_1 esk28_0False)False)((v2_relat_1 esk25_0False)False)((v2_funct_1 esk24_0False)False)((v1_relat_1 esk33_0False)False)((v1_relat_1 esk31_0False)False)((v1_relat_1 esk28_0False)False)((v1_relat_1 esk25_0False)False)((v1_relat_1 esk24_0False)False)((v1_relat_1 esk19_0False)False)((v1_relat_1 esk18_0False)False)((v1_funct_1 esk33_0False)False)((v1_funct_1 esk31_0False)False)((v1_funct_1 esk28_0False)False)((v1_funct_1 esk24_0False)False)((v1_funct_1 esk18_0False)False)((v1_xboole_0 esk22_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.