Theorem. (t9_filter_1)
∀esk5_3 : setsetsetset, ∀esk6_3 : setsetsetset, ∀esk7_3 : setsetsetset, ∀k3_binop_1 : setsetsetsetset, ∀v1_funct_2 : setsetsetprop, ∀v1_funct_1 : setprop, ∀r4_binop_1 : setsetsetprop, ∀v1_relat_1 : setprop, ∀k7_eqrel_1 : setsetset, ∀m1_eqrel_1 : setsetprop, ∀k1_funct_1 : setsetset, ∀k1_tarski : setset, ∀k2_tarski : setsetset, ∀v4_relat_1 : setsetprop, ∀esk24_2 : setsetset, ∀esk10_2 : setsetset, ∀v1_subset_1 : setsetprop, ∀v3_relat_1 : setprop, ∀r1_tarski : setsetprop, ∀esk33_1 : setset, ∀esk29_1 : setset, ∀v3_funct_1 : setprop, ∀esk27_1 : setset, ∀v2_relat_1 : setprop, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk34_0 : set, ∀esk15_0 : set, ∀esk14_2 : setsetset, ∀esk32_2 : setsetset, ∀esk22_1 : setset, ∀esk35_1 : setset, ∀esk8_1 : setset, ∀esk21_0 : set, ∀esk12_0 : set, ∀o_0_0_xboole_0 : set, ∀esk19_0 : set, ∀esk23_0 : set, ∀esk9_1 : setset, ∀esk25_2 : setsetset, ∀esk20_1 : setset, ∀esk13_2 : setsetset, ∀esk16_2 : setsetset, ∀esk28_0 : set, ∀esk30_0 : set, ∀esk26_1 : setset, ∀k1_xboole_0 : set, ∀esk18_1 : setset, ∀esk17_1 : setset, ∀esk31_1 : setset, ∀v1_zfmisc_1 : setprop, ∀r2_hidden : setsetprop, ∀v4_funct_1 : setprop, ∀esk11_2 : setsetset, ∀v5_relat_1 : setsetprop, ∀v1_setfam_1 : setprop, ∀v2_funct_1 : setprop, ∀v2_funct_2 : setsetprop, ∀v1_relat_2 : setprop, ∀v3_funct_2 : setsetsetprop, ∀k9_relat_1 : setsetset, ∀k1_binop_1 : setsetsetset, ∀k6_eqrel_1 : setsetsetsetset, ∀v1_xboole_0 : setprop, ∀v3_relat_2 : setprop, ∀v1_partfun1 : setsetprop, ∀m1_subset_1 : setsetprop, ∀k2_zfmisc_1 : setsetset, ∀m2_subset_1 : setsetsetprop, ∀k1_zfmisc_1 : setset, ∀m2_filter_1 : setsetsetprop, ∀v8_relat_2 : setprop, ∀esk38_4 : setsetsetsetset, ∀esk37_4 : setsetsetsetset, ∀k9_eqrel_1 : setsetsetset, ∀esk36_4 : setsetsetsetset, ∀k5_binop_1 : setsetsetsetset, ∀k3_filter_1 : setsetsetset, ∀k8_eqrel_1 : setsetset, (∀X3 X4 X2 X5 X6 X7 X1, ((k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 X6) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 X7)) = (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) X6 X7))False)(v1_xboole_0 X1False)(k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) (k9_eqrel_1 X1 X2 (esk36_4 X1 X2 X3 X4)) (k9_eqrel_1 X1 X2 (esk37_4 X1 X2 X3 X4))) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) (k9_eqrel_1 X1 X2 (esk36_4 X1 X2 X3 X4)) (k9_eqrel_1 X1 X2 (esk38_4 X1 X2 X3 X4)))) = (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) (k9_eqrel_1 X1 X2 (esk36_4 X1 X2 X3 X4)) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) (k9_eqrel_1 X1 X2 (esk37_4 X1 X2 X3 X4)) (k9_eqrel_1 X1 X2 (esk38_4 X1 X2 X3 X4))))v3_relat_2 X2v8_relat_2 X2v1_partfun1 X2 X1m2_filter_1 X4 X1 X2m2_filter_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m2_subset_1 X7 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)m2_subset_1 X6 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)m2_subset_1 X5 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)False)(∀X3 X2 X1, (v1_xboole_0 X1False)(r4_binop_1 X1 X2 X3False)(k3_binop_1 X1 X3 (k3_binop_1 X1 X2 (esk5_3 X1 X2 X3) (esk6_3 X1 X2 X3)) (k3_binop_1 X1 X2 (esk5_3 X1 X2 X3) (esk7_3 X1 X2 X3))) = (k3_binop_1 X1 X2 (esk5_3 X1 X2 X3) (k3_binop_1 X1 X3 (esk6_3 X1 X2 X3) (esk7_3 X1 X2 X3)))v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X3 X4 X5 X6 X7 X1, ((k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 X6) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 X7)) = (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) X6 X7))False)(v1_xboole_0 X1False)(m1_subset_1 (esk38_4 X1 X2 X3 X4) X1False)v3_relat_2 X2v8_relat_2 X2v1_partfun1 X2 X1m2_filter_1 X4 X1 X2m2_filter_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m2_subset_1 X7 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)m2_subset_1 X6 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)m2_subset_1 X5 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)False)(∀X2 X3 X4 X5 X6 X7 X1, ((k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 X6) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 X7)) = (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) X6 X7))False)(v1_xboole_0 X1False)(m1_subset_1 (esk37_4 X1 X2 X3 X4) X1False)v3_relat_2 X2v8_relat_2 X2v1_partfun1 X2 X1m2_filter_1 X4 X1 X2m2_filter_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m2_subset_1 X7 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)m2_subset_1 X6 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)m2_subset_1 X5 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)False)(∀X2 X3 X4 X5 X6 X7 X1, ((k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 X6) (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 X7)) = (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X3) X5 (k5_binop_1 (k8_eqrel_1 X1 X2) (k3_filter_1 X1 X2 X4) X6 X7))False)(v1_xboole_0 X1False)(m1_subset_1 (esk36_4 X1 X2 X3 X4) X1False)v3_relat_2 X2v8_relat_2 X2v1_partfun1 X2 X1m2_filter_1 X4 X1 X2m2_filter_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))m2_subset_1 X7 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)m2_subset_1 X6 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)m2_subset_1 X5 (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)False)(∀X3 X6 X4 X5 X2 X1, ((k3_binop_1 X1 X3 (k3_binop_1 X1 X2 X4 X5) (k3_binop_1 X1 X2 X4 X6)) = (k3_binop_1 X1 X2 X4 (k3_binop_1 X1 X3 X5 X6))False)(v1_xboole_0 X1False)v1_funct_1 X3v1_funct_1 X2m1_subset_1 X6 X1m1_subset_1 X5 X1m1_subset_1 X4 X1r4_binop_1 X1 X2 X3v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X2 X3 X5 X4 X1, ((k1_binop_1 (k3_filter_1 X1 X2 X5) (k6_eqrel_1 X1 X1 X2 X3) (k6_eqrel_1 X1 X1 X2 X4)) = (k6_eqrel_1 X1 X1 X2 (k5_binop_1 X1 X5 X3 X4))False)(v1_xboole_0 X1False)v3_relat_2 X2v8_relat_2 X2v1_partfun1 X2 X1m1_subset_1 X4 X1m1_subset_1 X3 X1m2_filter_1 X5 X1 X2m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(m1_subset_1 (k3_filter_1 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (k8_eqrel_1 X1 X2) (k8_eqrel_1 X1 X2)) (k8_eqrel_1 X1 X2)))False)v3_relat_2 X2v8_relat_2 X2v1_funct_1 X3v1_partfun1 X2 X1v1_funct_2 X3 (k2_zfmisc_1 X1 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) X1))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(r4_binop_1 X1 X2 X3False)(m1_subset_1 (esk7_3 X1 X2 X3) X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(r4_binop_1 X1 X2 X3False)(m1_subset_1 (esk6_3 X1 X2 X3) X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(r4_binop_1 X1 X2 X3False)(m1_subset_1 (esk5_3 X1 X2 X3) X1False)v1_funct_1 X3v1_funct_1 X2v1_funct_2 X3 (k2_zfmisc_1 X1 X1) X1v1_funct_2 X2 (k2_zfmisc_1 X1 X1) X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1))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, (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 X3 X1, (v1_xboole_0 X1False)(v1_funct_2 (k3_filter_1 X1 X2 X3) (k2_zfmisc_1 (k8_eqrel_1 X1 X2) (k8_eqrel_1 X1 X2)) (k8_eqrel_1 X1 X2)False)v3_relat_2 X2v8_relat_2 X2v1_funct_1 X3v1_partfun1 X2 X1v1_funct_2 X3 (k2_zfmisc_1 X1 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) X1))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 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 X3 X1, (v1_xboole_0 X1False)(v1_funct_1 (k3_filter_1 X1 X2 X3)False)v3_relat_2 X2v8_relat_2 X2v1_funct_1 X3v1_partfun1 X2 X1v1_funct_2 X3 (k2_zfmisc_1 X1 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) X1))False)(∀X4 X1 X2 X3, (m1_subset_1 (k6_eqrel_1 X2 X3 X1 X4) (k1_zfmisc_1 X3)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X4 X1 X2 X3, ((k6_eqrel_1 X2 X3 X1 X4) = (k9_relat_1 X1 X4)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(m2_subset_1 (k9_eqrel_1 X1 X2 X3) (k1_zfmisc_1 X1) (k8_eqrel_1 X1 X2)False)v3_relat_2 X2v8_relat_2 X2v1_partfun1 X2 X1m1_subset_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X2 X1, (v3_funct_2 X1 X2 X2False)v1_funct_1 X1v1_relat_2 X1v1_partfun1 X1 X2v1_funct_2 X1 X2 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))False)(∀X1 X3 X2, (v1_xboole_0 X2False)(m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2))False)v1_relat_1 X3m2_filter_1 X1 X2 X3False)(∀X2 X3 X1, ((k9_eqrel_1 X1 X2 X3) = (k9_relat_1 X2 X3)False)(v1_xboole_0 X1False)v3_relat_2 X2v8_relat_2 X2v1_partfun1 X2 X1m1_subset_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 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 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 X1, (m1_subset_1 (k7_eqrel_1 X2 X1) (k1_zfmisc_1 (k1_zfmisc_1 X2))False)v3_relat_2 X1v8_relat_2 X1v1_partfun1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))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)(∀X2 X1, (v1_xboole_0 X1False)v3_relat_2 X2v8_relat_2 X2v1_partfun1 X2 X1v1_xboole_0 (k7_eqrel_1 X1 X2)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))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 X1, (m1_eqrel_1 (k8_eqrel_1 X2 X1) X2False)v3_relat_2 X1v8_relat_2 X1v1_partfun1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))False)(∀X2 X1, (v1_xboole_0 X1False)(v1_setfam_1 (k7_eqrel_1 X1 X2)False)v3_relat_2 X2v8_relat_2 X2v1_partfun1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)(∀X2 X1, ((k8_eqrel_1 X2 X1) = (k7_eqrel_1 X2 X1)False)v3_relat_2 X1v8_relat_2 X1v1_partfun1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_funct_2 X1 (k2_zfmisc_1 X2 X2) X2False)v1_relat_1 X3m2_filter_1 X1 X2 X3False)(∀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)(∀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)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 X3 X1False)m2_subset_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 X1 X3False)m2_subset_1 X1 X2 X3m1_subset_1 X3 (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 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)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk11_2 X1 X2) X1 X2False)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m2_subset_1 X1 X3 X2False)m1_subset_1 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)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 (esk24_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_funct_1 X1False)v1_relat_1 X3m2_filter_1 X1 X2 X3False)(∀X2 X1, (v1_xboole_0 X1False)(m2_filter_1 (esk10_2 X1 X2) X1 X2False)v1_relat_1 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 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, 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)(∀X1 X2, (v4_funct_1 (k2_tarski 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 (esk24_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, (m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)m1_eqrel_1 X1 X2False)(∀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 (esk24_2 X1 X2) X2False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v4_relat_1 (esk24_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)(∀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 (esk24_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_1 (esk24_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)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 X2m1_eqrel_1 X2 X1False)(∀X1, (v1_zfmisc_1 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 (esk29_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)(∀X2 X1, (v1_setfam_1 X1False)m1_eqrel_1 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, (v1_relat_2 X1False)v3_relat_2 X1v8_relat_2 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 (esk29_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(m1_eqrel_1 (esk27_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(m1_eqrel_1 (esk18_1 X1) X1False)False)(∀X1, (v4_funct_1 (k1_tarski X1)False)v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk33_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk31_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk27_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk18_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk17_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 (esk31_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_setfam_1 (esk27_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_setfam_1 (esk18_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)(r4_binop_1 (k8_eqrel_1 esk1_0 esk2_0) (k3_filter_1 esk1_0 esk2_0 esk3_0) (k3_filter_1 esk1_0 esk2_0 esk4_0)False)(∀X1, v1_subset_1 (esk26_1 X1) X1False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v3_funct_1 esk30_0False)(v1_xboole_0 esk34_0False)(v1_xboole_0 esk28_0False)(v1_xboole_0 esk15_0False)(v1_xboole_0 esk1_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, (m1_subset_1 (esk16_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 (esk20_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)False)(∀X1, (v3_funct_2 (esk20_1 X1) X1 X1False)False)(∀X1, (v1_funct_2 (esk20_1 X1) X1 X1False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 esk1_0))False)False)((r4_binop_1 esk1_0 esk3_0 esk4_0False)False)((m2_filter_1 esk4_0 esk1_0 esk2_0False)False)((m2_filter_1 esk3_0 esk1_0 esk2_0False)False)(∀X2 X1, (v5_relat_1 (esk32_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk25_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk16_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 (esk32_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk25_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk16_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 (esk32_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk25_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk16_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 (k2_zfmisc_1 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk32_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 (esk16_2 X1 X2)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, (v5_relat_1 (esk20_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk35_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk20_1 X1) X1False)False)(∀X1, (m1_eqrel_1 (esk8_1 X1) X1False)False)(∀X1, (m1_subset_1 (esk9_1 X1) X1False)False)(∀X1, (v1_partfun1 (esk20_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((v1_partfun1 esk2_0 esk1_0False)False)(∀X1, (v2_relat_1 (esk35_1 X1)False)False)(∀X1, (v1_relat_1 (esk35_1 X1)False)False)(∀X1, (v1_relat_1 (esk20_1 X1)False)False)(∀X1, (v1_funct_1 (esk35_1 X1)False)False)(∀X1, (v1_funct_1 (esk20_1 X1)False)False)(∀X1, (v1_xboole_0 (esk22_1 X1)False)False)((v4_funct_1 esk34_0False)False)((v2_relat_1 esk28_0False)False)((v2_relat_1 esk23_0False)False)((v2_relat_1 esk21_0False)False)((v2_funct_1 esk19_0False)False)((v1_relat_1 esk30_0False)False)((v1_relat_1 esk28_0False)False)((v1_relat_1 esk23_0False)False)((v1_relat_1 esk21_0False)False)((v1_relat_1 esk19_0False)False)((v1_relat_1 esk15_0False)False)((v1_relat_1 esk12_0False)False)((v1_funct_1 esk30_0False)False)((v1_funct_1 esk28_0False)False)((v1_funct_1 esk23_0False)False)((v1_funct_1 esk19_0False)False)((v1_funct_1 esk12_0False)False)((v8_relat_2 esk2_0False)False)((v3_relat_2 esk2_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.