Theorem. (t21_setwiseo)
∀k3_binop_1 : setsetsetsetset, ∀esk9_2 : setsetset, ∀esk8_2 : setsetset, ∀esk7_2 : setsetset, ∀k1_binop_1 : setsetsetset, ∀k1_funct_1 : setsetset, ∀v1_relat_1 : setprop, ∀k2_tarski : setsetset, ∀v5_relat_1 : setsetprop, ∀v1_subset_1 : setsetprop, ∀esk30_2 : setsetset, ∀v2_finset_1 : setprop, ∀v5_finset_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀esk32_1 : setset, ∀esk29_1 : setset, ∀esk21_1 : setset, ∀esk17_1 : setset, ∀v2_relat_1 : setprop, ∀v4_finsub_1 : setprop, ∀v1_finsub_1 : setprop, ∀v3_finsub_1 : setprop, ∀esk33_0 : set, ∀esk23_0 : set, ∀esk11_0 : set, ∀esk12_2 : setsetset, ∀esk28_2 : setsetset, ∀esk16_1 : setset, ∀esk20_0 : set, ∀esk18_0 : set, ∀esk10_1 : setset, ∀esk22_1 : setset, ∀esk25_2 : setsetset, ∀esk15_2 : setsetset, ∀esk13_1 : setset, ∀esk14_0 : set, ∀esk24_0 : set, ∀esk34_0 : set, ∀esk26_1 : setset, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk6_0 : set, ∀esk5_0 : set, ∀esk4_0 : set, ∀esk1_0 : set, ∀v3_relat_1 : setprop, ∀esk19_1 : setset, ∀esk27_1 : setset, ∀esk31_1 : setset, ∀r1_tarski : setsetprop, ∀r2_hidden : setsetprop, ∀v4_relat_1 : setsetprop, ∀v1_finset_1 : setprop, ∀v1_partfun1 : setsetprop, ∀k3_funct_2 : setsetsetsetset, ∀k2_setwiseo : setsetset, ∀v3_binop_1 : setsetprop, ∀v2_binop_1 : setsetprop, ∀v1_binop_1 : setsetprop, ∀k7_setwiseo : setsetsetsetsetset, ∀k5_setwiseo : setsetsetset, ∀k5_binop_1 : setsetsetsetset, ∀v1_funct_1 : setprop, ∀v1_funct_2 : setsetsetprop, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀m1_subset_1 : setsetprop, ∀k5_finsub_1 : setset, ∀esk35_5 : setsetsetsetsetset, ∀esk36_5 : setsetsetsetsetset, ∀k1_tarski : setset, ∀k2_xboole_0 : setsetset, ∀v1_xboole_0 : setprop, ∀k1_xboole_0 : set, (∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((k5_binop_1 X2 X3 (k7_setwiseo X1 X2 X3 X4 X5) (k7_setwiseo X1 X2 X3 X6 X5)) = (k7_setwiseo X1 X2 X3 (k5_setwiseo X1 X4 X6) X5)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(k5_binop_1 X2 X3 (k7_setwiseo X1 X2 X3 X4 X5) (k7_setwiseo X1 X2 X3 k1_xboole_0 X5)) = (k7_setwiseo X1 X2 X3 (k5_setwiseo X1 X4 k1_xboole_0) X5)(k5_binop_1 X2 X3 (k7_setwiseo X1 X2 X3 X4 X5) (k7_setwiseo X1 X2 X3 (k2_xboole_0 (esk35_5 X2 X1 X3 X5 X4) (k1_tarski (esk36_5 X2 X1 X3 X5 X4))) X5)) = (k7_setwiseo X1 X2 X3 (k5_setwiseo X1 X4 (k2_xboole_0 (esk35_5 X2 X1 X3 X5 X4) (k1_tarski (esk36_5 X2 X1 X3 X5 X4)))) X5)v1_funct_1 X5v1_funct_1 X3v1_funct_2 X5 X1 X2m1_subset_1 X6 (k5_finsub_1 X1)m1_subset_1 X4 (k5_finsub_1 X1)v1_funct_2 X3 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((k5_binop_1 X2 X3 (k7_setwiseo X1 X2 X3 X4 X5) (k7_setwiseo X1 X2 X3 X6 X5)) = (k7_setwiseo X1 X2 X3 (k5_setwiseo X1 X4 X6) X5)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(k5_binop_1 X2 X3 (k7_setwiseo X1 X2 X3 X4 X5) (k7_setwiseo X1 X2 X3 (k2_xboole_0 (esk35_5 X2 X1 X3 X5 X4) (k1_tarski (esk36_5 X2 X1 X3 X5 X4))) X5)) = (k7_setwiseo X1 X2 X3 (k5_setwiseo X1 X4 (k2_xboole_0 (esk35_5 X2 X1 X3 X5 X4) (k1_tarski (esk36_5 X2 X1 X3 X5 X4)))) X5)v1_funct_1 X5v1_funct_1 X3v1_funct_2 X5 X1 X2m1_subset_1 X6 (k5_finsub_1 X1)m1_subset_1 X4 (k5_finsub_1 X1)v1_funct_2 X3 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((esk35_5 X1 X2 X3 X4 X5) = k1_xboole_0False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 X6 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 X6) X4)False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 (esk35_5 X1 X2 X3 X4 X5) X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 (esk35_5 X1 X2 X3 X4 X5)) X4)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 k1_xboole_0 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 k1_xboole_0) X4)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X2 X1m1_subset_1 X6 (k5_finsub_1 X2)m1_subset_1 X5 (k5_finsub_1 X2)v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 X6 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 X6) X4)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(k2_xboole_0 (esk35_5 X1 X2 X3 X4 X5) (k1_tarski (esk36_5 X1 X2 X3 X4 X5))) = k1_xboole_0(k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 k1_xboole_0 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 k1_xboole_0) X4)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X2 X1m1_subset_1 X6 (k5_finsub_1 X2)m1_subset_1 X5 (k5_finsub_1 X2)v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((esk35_5 X1 X2 X3 X4 X5) = k1_xboole_0False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 X6 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 X6) X4)False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 (esk35_5 X1 X2 X3 X4 X5) X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 (esk35_5 X1 X2 X3 X4 X5)) X4)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X2 X1m1_subset_1 X6 (k5_finsub_1 X2)m1_subset_1 X5 (k5_finsub_1 X2)v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 X6 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 X6) X4)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (esk35_5 X1 X2 X3 X4 X5) (k5_finsub_1 X2)False)(k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 k1_xboole_0 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 k1_xboole_0) X4)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X2 X1m1_subset_1 X6 (k5_finsub_1 X2)m1_subset_1 X5 (k5_finsub_1 X2)v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 X6 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 X6) X4)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (esk36_5 X1 X2 X3 X4 X5) X2False)(k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 k1_xboole_0 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 k1_xboole_0) X4)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X2 X1m1_subset_1 X6 (k5_finsub_1 X2)m1_subset_1 X5 (k5_finsub_1 X2)v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 X6 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 X6) X4)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(k2_xboole_0 (esk35_5 X1 X2 X3 X4 X5) (k1_tarski (esk36_5 X1 X2 X3 X4 X5))) = k1_xboole_0v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X2 X1m1_subset_1 X6 (k5_finsub_1 X2)m1_subset_1 X5 (k5_finsub_1 X2)v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 X6 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 X6) X4)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (esk35_5 X1 X2 X3 X4 X5) (k5_finsub_1 X2)False)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X2 X1m1_subset_1 X6 (k5_finsub_1 X2)m1_subset_1 X5 (k5_finsub_1 X2)v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X5 X4 X3 X1 X6, (X6 = k1_xboole_0False)((k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X5 X4) (k7_setwiseo X2 X1 X3 X6 X4)) = (k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X5 X6) X4)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (esk36_5 X1 X2 X3 X4 X5) X2False)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X2 X1m1_subset_1 X6 (k5_finsub_1 X2)m1_subset_1 X5 (k5_finsub_1 X2)v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X5 X6 X3 X1 X4, (X4 = k1_xboole_0False)((k7_setwiseo X2 X1 X3 (k5_setwiseo X2 X4 (k2_setwiseo X2 X6)) X5) = (k5_binop_1 X1 X3 (k7_setwiseo X2 X1 X3 X4 X5) (k3_funct_2 X2 X1 X5 X6))False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_funct_1 X5v1_funct_1 X3m1_subset_1 X6 X2v3_binop_1 X3 X1v1_binop_1 X3 X1v2_binop_1 X3 X1v1_funct_2 X5 X2 X1m1_subset_1 X4 (k5_finsub_1 X2)v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X1 X2, (v2_binop_1 X2 X1False)(k3_binop_1 X1 X2 (k3_binop_1 X1 X2 (esk7_2 X1 X2) (esk8_2 X1 X2)) (esk9_2 X1 X2)) = (k3_binop_1 X1 X2 (esk7_2 X1 X2) (k3_binop_1 X1 X2 (esk8_2 X1 X2) (esk9_2 X1 X2)))v1_funct_1 X2v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X1 X3 X4 X5 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (k7_setwiseo X1 X2 X3 X4 X5) X2False)v1_funct_1 X5v1_funct_1 X3v1_funct_2 X5 X1 X2m1_subset_1 X4 (k5_finsub_1 X1)v1_funct_2 X3 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X1 X3 X5 X4 X2, ((k7_setwiseo X2 X1 X3 (k2_setwiseo X2 X5) X4) = (k3_funct_2 X2 X1 X4 X5)False)(v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_funct_1 X4v1_funct_1 X3m1_subset_1 X5 X2v1_binop_1 X3 X1v2_binop_1 X3 X1v1_funct_2 X4 X2 X1v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X5 X3 X4 X1, ((k3_binop_1 X2 X1 (k3_binop_1 X2 X1 X3 X4) X5) = (k3_binop_1 X2 X1 X3 (k3_binop_1 X2 X1 X4 X5))False)v1_funct_1 X1m1_subset_1 X5 X2m1_subset_1 X4 X2m1_subset_1 X3 X2v2_binop_1 X1 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X4 X3 X1, (m1_subset_1 (k3_binop_1 X2 X1 X3 X4) X2False)v1_funct_1 X1m1_subset_1 X4 X2m1_subset_1 X3 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X4 X3 X1, (m1_subset_1 (k5_binop_1 X2 X1 X3 X4) X2False)v1_funct_1 X1m1_subset_1 X4 X2m1_subset_1 X3 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X4 X3 X1, ((k3_binop_1 X2 X1 X3 X4) = (k1_binop_1 X1 X3 X4)False)v1_funct_1 X1m1_subset_1 X4 X2m1_subset_1 X3 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)(∀X2 X4 X3 X1, ((k5_binop_1 X2 X1 X3 X4) = (k1_binop_1 X1 X3 X4)False)v1_funct_1 X1m1_subset_1 X4 X2m1_subset_1 X3 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) 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)(∀X2 X3 X1, ((k5_binop_1 X2 X1 X3 X3) = X3False)v1_funct_1 X1m1_subset_1 X3 X2v3_binop_1 X1 X2v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) 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)(∀X1 X2, (v2_binop_1 X2 X1False)(m1_subset_1 (esk9_2 X1 X2) X1False)v1_funct_1 X2v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X1 X2, (v2_binop_1 X2 X1False)(m1_subset_1 (esk8_2 X1 X2) X1False)v1_funct_1 X2v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X1 X2, (v2_binop_1 X2 X1False)(m1_subset_1 (esk7_2 X1 X2) X1False)v1_funct_1 X2v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))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 X2 X1, (v1_finset_1 X1False)v1_funct_1 X1v1_finset_1 X2v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))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 (k5_setwiseo X2 X1 X3) (k5_finsub_1 X2)False)m1_subset_1 X3 (k5_finsub_1 X2)m1_subset_1 X1 (k5_finsub_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, ((k5_setwiseo X2 X1 X3) = (k5_setwiseo X2 X3 X1)False)m1_subset_1 X3 (k5_finsub_1 X2)m1_subset_1 X1 (k5_finsub_1 X2)False)(∀X3 X2 X1, ((k1_funct_1 X1 (k2_tarski (k2_tarski X2 X3) (k1_tarski X2))) = (k1_binop_1 X1 X2 X3)False)v1_funct_1 X1v1_relat_1 X1False)(∀X3 X2 X1, ((k5_setwiseo X2 X1 X3) = (k2_xboole_0 X1 X3)False)m1_subset_1 X3 (k5_finsub_1 X2)m1_subset_1 X1 (k5_finsub_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, ((k5_setwiseo X2 X1 X1) = X1False)m1_subset_1 X3 (k5_finsub_1 X2)m1_subset_1 X1 (k5_finsub_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 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 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)(∀X2 X1, (v1_xboole_0 X1False)(m1_subset_1 (k2_setwiseo X1 X2) (k5_finsub_1 X1)False)m1_subset_1 X2 X1False)(∀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, (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 (esk30_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_finset_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v2_finset_1 X1False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v5_relat_1 (esk30_2 X1 X2) X2False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v4_relat_1 (esk30_2 X1 X2) X1False)False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, ((k2_setwiseo X1 X2) = (k1_tarski X2)False)(v1_xboole_0 X1False)m1_subset_1 X2 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (v5_finset_1 (k2_xboole_0 X1 X2)False)v5_finset_1 X2v5_finset_1 X1False)(∀X2 X1, (v5_finset_1 (k2_tarski X1 X2)False)v1_finset_1 X2v1_finset_1 X1False)(∀X2 X1, (v1_relat_1 (k2_xboole_0 X1 X2)False)v1_relat_1 X2v1_relat_1 X1False)(∀X2 X1, (v1_finset_1 (k2_xboole_0 X1 X2)False)v1_finset_1 X2v1_finset_1 X1False)(∀X2 X1, (v1_finset_1 (k2_zfmisc_1 X1 X2)False)v1_finset_1 X2v1_finset_1 X1False)(∀X1 X2, (v5_finset_1 X2False)v5_finset_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_finset_1 X2False)v1_finset_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 (esk30_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_finset_1 (esk30_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_1 (esk30_2 X1 X2)False)False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X2 X1, (v1_finset_1 X1False)m1_subset_1 X1 (k5_finsub_1 X2)False)(∀X1 X2, (v1_finset_1 X2False)v5_finset_1 X1m1_subset_1 X2 X1False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk32_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk31_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk27_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk21_1 X1) (k5_finsub_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk27_1 X1) X1False)False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk32_1 X1)False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk31_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk29_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk21_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk19_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk17_1 X1)False)(∀X1, (v2_finset_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v2_relat_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v3_relat_1 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v4_finsub_1 X1False)v1_finsub_1 X1v3_finsub_1 X1False)(∀X1, (v5_finset_1 (k1_tarski X1)False)v1_finset_1 X1False)(∀X1, (v5_finset_1 (k1_zfmisc_1 X1)False)v1_finset_1 X1False)(∀X1, (v1_finset_1 (k1_zfmisc_1 X1)False)v1_finset_1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_zfmisc_1 X1False)(v1_finset_1 (esk32_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk29_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_finset_1 (esk21_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_finset_1 (esk19_1 X1)False)False)(∀X1, (v5_finset_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_relat_1 X1False)v1_xboole_0 X1False)(∀X1, (v3_finsub_1 X1False)v4_finsub_1 X1False)(∀X1, (v1_finsub_1 X1False)v4_finsub_1 X1False)(∀X1, (v1_finset_1 X1False)v1_zfmisc_1 X1False)(∀X1, (v1_finset_1 X1False)v1_zfmisc_1 X1False)(∀X1, (v1_finset_1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)((k5_binop_1 esk1_0 esk3_0 (k7_setwiseo esk2_0 esk1_0 esk3_0 esk5_0 esk4_0) (k7_setwiseo esk2_0 esk1_0 esk3_0 esk6_0 esk4_0)) = (k7_setwiseo esk2_0 esk1_0 esk3_0 (k5_setwiseo esk2_0 esk5_0 esk6_0) esk4_0)False)(∀X1 X2, v1_xboole_0 (k2_tarski X1 X2)False)(∀X1, v1_subset_1 (esk26_1 X1) X1False)(∀X1, v1_xboole_0 (k1_tarski X1)False)(∀X1, v1_xboole_0 (k5_finsub_1 X1)False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk34_0False)(v1_xboole_0 esk33_0False)(v1_xboole_0 esk24_0False)(v1_xboole_0 esk23_0False)(v1_xboole_0 esk14_0False)(v1_xboole_0 esk11_0False)(v1_xboole_0 esk2_0False)(v1_xboole_0 esk1_0False)(esk6_0 = k1_xboole_0False)(esk5_0 = k1_xboole_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, (m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 esk1_0 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 (esk12_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X1, (v1_funct_2 (esk13_1 X1) (k2_zfmisc_1 X1 X1) X1False)False)(∀X2 X1, (v1_funct_2 (esk12_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)((v1_funct_2 esk3_0 (k2_zfmisc_1 esk1_0 esk1_0) esk1_0False)False)((m1_subset_1 esk4_0 (k1_zfmisc_1 (k2_zfmisc_1 esk2_0 esk1_0))False)False)((v1_funct_2 esk4_0 esk2_0 esk1_0False)False)(∀X1, (v4_relat_1 (esk13_1 X1) (k2_zfmisc_1 X1 X1)False)False)(∀X2 X1, (v5_relat_1 (esk28_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk25_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk15_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk12_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk28_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk25_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk15_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk12_2 X1 X2) X1False)False)(∀X1 X2, (v1_relat_1 (esk28_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk25_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk15_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk12_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (k2_zfmisc_1 X1 X2)False)False)(∀X1 X2, (v1_finset_1 (esk28_2 X1 X2)False)False)(∀X1 X2, (v1_finset_1 (k2_tarski X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk28_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk12_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk15_2 X1 X2)False)False)(∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1)False)False)(∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1)False)False)(∀X1, (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk16_1 X1) (k5_finsub_1 X1)False)False)(∀X1, (v5_relat_1 (esk13_1 X1) X1False)False)(∀X1, (v3_binop_1 (esk13_1 X1) X1False)False)(∀X1, (m1_subset_1 (esk10_1 X1) X1False)False)(∀X1, (m1_subset_1 k1_xboole_0 (k5_finsub_1 X1)False)False)((m1_subset_1 esk6_0 (k5_finsub_1 esk2_0)False)False)((m1_subset_1 esk5_0 (k5_finsub_1 esk2_0)False)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)((v2_binop_1 esk3_0 esk1_0False)False)((v1_binop_1 esk3_0 esk1_0False)False)((v3_binop_1 esk3_0 esk1_0False)False)(∀X1, (v1_relat_1 (esk13_1 X1)False)False)(∀X1, (v4_finsub_1 (k5_finsub_1 X1)False)False)(∀X1, (v4_finsub_1 (k5_finsub_1 X1)False)False)(∀X1, (v4_finsub_1 (k1_zfmisc_1 X1)False)False)(∀X1, (v1_finset_1 (esk16_1 X1)False)False)(∀X1, (v1_finset_1 (k1_tarski X1)False)False)(∀X1, (v1_funct_1 (esk13_1 X1)False)False)(∀X1, (v1_xboole_0 (esk22_1 X1)False)False)(∀X1, (v1_xboole_0 (esk16_1 X1)False)False)((v2_finset_1 esk34_0False)False)((v5_finset_1 esk33_0False)False)((v2_relat_1 esk20_0False)False)((v1_relat_1 esk34_0False)False)((v1_relat_1 esk24_0False)False)((v1_relat_1 esk20_0False)False)((v1_relat_1 esk14_0False)False)((v1_finset_1 esk33_0False)False)((v1_finset_1 esk24_0False)False)((v1_finset_1 esk11_0False)False)((v1_funct_1 esk34_0False)False)((v1_funct_1 esk24_0False)False)((v1_funct_1 esk4_0False)False)((v1_funct_1 esk3_0False)False)((v1_xboole_0 esk18_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.