Theorem. (
t19_isocat_1)
∀v1_xboole_0 : set → prop, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v1_funct_2 : set → set → set → prop, ∀v1_funct_1 : set → prop, ∀m2_cat_1 : set → set → set → prop, ∀k17_cat_2 : set → set → set → set → set → set → set, ∀k15_funct_3 : set → set → set, ∀k3_funct_4 : set → set → set, ∀r1_isocat_1 : set → set → prop, ∀k10_xtuple_0 : set → set, ∀v1_relat_1 : set → prop, ∀v1_partfun1 : set → set → prop, ∀v4_relat_1 : set → set → prop, ∀r2_hidden : set → set → prop, ∀v7_struct_0 : set → prop, ∀esk16_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk15_1 : set → set, ∀r1_tarski : set → set → prop, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀esk19_0 : set, ∀esk14_2 : set → set → set, ∀o_0_0_xboole_0 : set, ∀esk8_0 : set, ∀esk12_0 : set, ∀esk6_0 : set, ∀esk9_0 : set, ∀esk7_0 : set, ∀esk10_1 : set → set, ∀esk13_2 : set → set → set, ∀esk18_0 : set, ∀esk17_0 : set, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk4_0 : set, ∀v14_struct_0 : set → prop, ∀l5_struct_0 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v15_struct_0 : set → prop, ∀k1_xboole_0 : set, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀esk20_1 : set → set, ∀v5_relat_1 : set → set → prop, ∀l1_graph_1 : set → prop, ∀esk11_2 : set → set → set, ∀esk5_2 : set → set → set, ∀v2_funct_1 : set → prop, ∀v12_cat_1 : set → set → set → prop, ∀k2_relset_1 : set → set → set, ∀v1_cat_1 : set → prop, ∀k8_cat_2 : set → set → set, ∀u1_struct_0 : set → set, ∀k2_zfmisc_1 : set → set → set, ∀k6_cat_2 : set → set → set → set → set → set → set, ∀u1_graph_1 : set → set, ∀u2_graph_1 : set → set, ∀k7_cat_2 : set → set → set → set → set, ∀u1_cat_1 : set → set, ∀u4_struct_0 : set → set, ∀g1_cat_1 : set → set → set → set → set → set, ∀l1_cat_1 : set → prop, ∀v6_cat_1 : set → prop, ∀v5_cat_1 : set → prop, ∀v4_cat_1 : set → prop, ∀v3_cat_1 : set → prop, ∀v2_cat_1 : set → prop, ∀v11_struct_0 : set → prop, ∀v2_struct_0 : set → prop, (∀X1 X2, ((g1_cat_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X2)) (k2_zfmisc_1 (u4_struct_0 X1) (u4_struct_0 X2)) (k6_cat_2 (u4_struct_0 X1) (u4_struct_0 X2) (u1_struct_0 X1) (u1_struct_0 X2) (u1_graph_1 X1) (u1_graph_1 X2)) (k6_cat_2 (u4_struct_0 X1) (u4_struct_0 X2) (u1_struct_0 X1) (u1_struct_0 X2) (u2_graph_1 X1) (u2_graph_1 X2)) (k7_cat_2 (u4_struct_0 X1) (u4_struct_0 X2) (u1_cat_1 X1) (u1_cat_1 X2))) = (k8_cat_2 X1 X2) → False) → (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → False) → (∀X3 X1 X5 X6 X2 X4, (v1_xboole_0 X4 → False) → (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (k6_cat_2 X1 X2 X3 X4 X5 X6) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) (k2_zfmisc_1 X3 X4))) → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_2 X6 X2 X4 → v1_funct_2 X5 X1 X3 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X1 X5 X6 X2 X4, (v1_xboole_0 X4 → False) → (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_funct_2 (k6_cat_2 X1 X2 X3 X4 X5 X6) (k2_zfmisc_1 X1 X2) (k2_zfmisc_1 X3 X4) → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_2 X6 X2 X4 → v1_funct_2 X5 X1 X3 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X1 X6 X5 X2 X4, (v2_struct_0 X4 → False) → (v2_struct_0 X3 → False) → (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X4 → False) → (v11_struct_0 X3 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (m2_cat_1 (k17_cat_2 X1 X2 X3 X4 X5 X6) (k8_cat_2 X1 X2) (k8_cat_2 X3 X4) → False) → v2_cat_1 X4 → v2_cat_1 X3 → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X4 → v3_cat_1 X3 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X4 → v4_cat_1 X3 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X4 → v5_cat_1 X3 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X4 → v6_cat_1 X3 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X4 → l1_cat_1 X3 → l1_cat_1 X2 → l1_cat_1 X1 → m2_cat_1 X6 X2 X4 → m2_cat_1 X5 X1 X3 → False) → (∀X3 X1 X5 X6 X2 X4, (v1_xboole_0 X4 → False) → (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_funct_1 (k6_cat_2 X1 X2 X3 X4 X5 X6) → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_2 X6 X2 X4 → v1_funct_2 X5 X1 X3 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X1 X5 X6 X2 X4, ((k6_cat_2 X1 X2 X3 X4 X5 X6) = (k15_funct_3 X5 X6) → False) → (v1_xboole_0 X4 → False) → (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_2 X6 X2 X4 → v1_funct_2 X5 X1 X3 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X2 X4)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X1 X6 X5 X2 X4, ((k17_cat_2 X1 X2 X3 X4 X5 X6) = (k15_funct_3 X5 X6) → False) → (v2_struct_0 X4 → False) → (v2_struct_0 X3 → False) → (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X4 → False) → (v11_struct_0 X3 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → v2_cat_1 X4 → v2_cat_1 X3 → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X4 → v3_cat_1 X3 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X4 → v4_cat_1 X3 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X4 → v5_cat_1 X3 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X4 → v6_cat_1 X3 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X4 → l1_cat_1 X3 → l1_cat_1 X2 → l1_cat_1 X1 → m2_cat_1 X6 X2 X4 → m2_cat_1 X5 X1 X3 → False) → (∀X6 X4 X3 X5 X8 X9 X10 X7 X1 X2, (X1 = X2 → False) → (g1_cat_1 X1 X3 X4 X5 X6) = (g1_cat_1 X2 X7 X8 X9 X10) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_2 X5 X3 X1 → v1_funct_2 X4 X3 X1 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X3 X3) X3)) → False) → (∀X6 X4 X3 X5 X7 X8 X9 X10 X1 X2, (X1 = X2 → False) → (g1_cat_1 X3 X1 X4 X5 X6) = (g1_cat_1 X7 X2 X8 X9 X10) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_2 X5 X1 X3 → v1_funct_2 X4 X1 X3 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X6 X3 X4 X5 X7 X9 X10 X8 X1 X2, (X1 = X2 → False) → (g1_cat_1 X3 X4 X1 X5 X6) = (g1_cat_1 X7 X8 X2 X9 X10) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X1 → v1_funct_2 X5 X4 X3 → v1_funct_2 X1 X4 X3 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3)) → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X4 X4) X4)) → False) → (∀X6 X3 X4 X5 X7 X9 X10 X8 X1 X2, (X1 = X2 → False) → (g1_cat_1 X3 X4 X5 X1 X6) = (g1_cat_1 X7 X8 X9 X2 X10) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X1 → v1_funct_2 X5 X4 X3 → v1_funct_2 X1 X4 X3 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3)) → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X4 X4) X4)) → False) → (∀X6 X3 X4 X5 X7 X9 X10 X8 X1 X2, (X1 = X2 → False) → (g1_cat_1 X3 X4 X5 X6 X1) = (g1_cat_1 X7 X8 X9 X10 X2) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_1 X1 → v1_funct_2 X6 X4 X3 → v1_funct_2 X5 X4 X3 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X4 X4) X4)) → False) → (∀X4 X2 X1 X3 X5, (v1_cat_1 (g1_cat_1 X1 X2 X3 X4 X5) → False) → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_2 X4 X2 X1 → v1_funct_2 X3 X2 X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → False) → (∀X4 X2 X1 X3 X5, (l1_cat_1 (g1_cat_1 X1 X2 X3 X4 X5) → False) → v1_funct_1 X5 → v1_funct_1 X4 → v1_funct_1 X3 → v1_funct_2 X4 X2 X1 → v1_funct_2 X3 X2 X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → False) → (∀X1 X3 X4 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (k7_cat_2 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X2) (k2_zfmisc_1 X1 X2)) (k2_zfmisc_1 X1 X2))) → False) → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1, ((g1_cat_1 (u1_struct_0 X1) (u4_struct_0 X1) (u1_graph_1 X1) (u2_graph_1 X1) (u1_cat_1 X1)) = X1 → False) → l1_cat_1 X1 → v1_cat_1 X1 → False) → (∀X1 X3 X4 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_funct_1 (k7_cat_2 X1 X2 X3 X4) → False) → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X1 X3 X4 X2, ((k7_cat_2 X1 X2 X3 X4) = (k3_funct_4 X3 X4) → False) → (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X4 → v1_funct_1 X3 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X2) X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) X1)) → False) → (∀X2 X1 X3, (v2_struct_0 X3 → False) → (v2_struct_0 X2 → False) → (v11_struct_0 X3 → False) → (v11_struct_0 X2 → False) → (m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (u4_struct_0 X2) (u4_struct_0 X3))) → False) → v2_cat_1 X3 → v2_cat_1 X2 → v3_cat_1 X3 → v3_cat_1 X2 → v4_cat_1 X3 → v4_cat_1 X2 → v5_cat_1 X3 → v5_cat_1 X2 → v6_cat_1 X3 → v6_cat_1 X2 → l1_cat_1 X3 → l1_cat_1 X2 → m2_cat_1 X1 X2 X3 → False) → (∀X1, (m1_subset_1 (u1_cat_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (u4_struct_0 X1) (u4_struct_0 X1)) (u4_struct_0 X1))) → False) → l1_cat_1 X1 → False) → (∀X3 X2 X1, ((k2_relset_1 (u4_struct_0 X1) X2) = (u4_struct_0 X1) → False) → (v2_struct_0 X3 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X3 → False) → (v11_struct_0 X1 → False) → v2_cat_1 X3 → v2_cat_1 X1 → v3_cat_1 X3 → v3_cat_1 X1 → v4_cat_1 X3 → v4_cat_1 X1 → v5_cat_1 X3 → v5_cat_1 X1 → v6_cat_1 X3 → v6_cat_1 X1 → l1_cat_1 X3 → l1_cat_1 X1 → m2_cat_1 X2 X3 X1 → v12_cat_1 X2 X3 X1 → False) → (∀X2 X1 X3, (v2_struct_0 X3 → False) → (v2_struct_0 X2 → False) → (v11_struct_0 X3 → False) → (v11_struct_0 X2 → False) → (r1_isocat_1 X2 X3 → False) → v2_cat_1 X3 → v2_cat_1 X2 → v3_cat_1 X3 → v3_cat_1 X2 → v4_cat_1 X3 → v4_cat_1 X2 → v5_cat_1 X3 → v5_cat_1 X2 → v6_cat_1 X3 → v6_cat_1 X2 → l1_cat_1 X3 → l1_cat_1 X2 → m2_cat_1 X1 X2 X3 → v12_cat_1 X1 X2 X3 → False) → (∀X2 X1 X3, (v2_struct_0 X3 → False) → (v2_struct_0 X2 → False) → (v11_struct_0 X3 → False) → (v11_struct_0 X2 → False) → (v12_cat_1 X1 X3 X2 → False) → (k2_relset_1 (u4_struct_0 X2) X1) = (u4_struct_0 X2) → v2_cat_1 X3 → v2_cat_1 X2 → v3_cat_1 X3 → v3_cat_1 X2 → v4_cat_1 X3 → v4_cat_1 X2 → v5_cat_1 X3 → v5_cat_1 X2 → v6_cat_1 X3 → v6_cat_1 X2 → l1_cat_1 X3 → l1_cat_1 X2 → v2_funct_1 X1 → m2_cat_1 X1 X3 X2 → 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, (v2_struct_0 X3 → False) → (v2_struct_0 X2 → False) → (v11_struct_0 X3 → False) → (v11_struct_0 X2 → False) → (v2_funct_1 X1 → False) → v2_cat_1 X3 → v2_cat_1 X2 → v3_cat_1 X3 → v3_cat_1 X2 → v4_cat_1 X3 → v4_cat_1 X2 → v5_cat_1 X3 → v5_cat_1 X2 → v6_cat_1 X3 → v6_cat_1 X2 → l1_cat_1 X3 → l1_cat_1 X2 → m2_cat_1 X1 X2 X3 → v12_cat_1 X1 X2 X3 → False) → (∀X2 X1 X3, (v2_struct_0 X3 → False) → (v2_struct_0 X2 → False) → (v11_struct_0 X3 → False) → (v11_struct_0 X2 → False) → (v1_funct_2 X1 (u4_struct_0 X2) (u4_struct_0 X3) → False) → v2_cat_1 X3 → v2_cat_1 X2 → v3_cat_1 X3 → v3_cat_1 X2 → v4_cat_1 X3 → v4_cat_1 X2 → v5_cat_1 X3 → v5_cat_1 X2 → v6_cat_1 X3 → v6_cat_1 X2 → l1_cat_1 X3 → l1_cat_1 X2 → m2_cat_1 X1 X2 X3 → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (v1_partfun1 X2 X1 → False) → v1_xboole_0 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_partfun1 X2 X3 → False) → v1_funct_2 X2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X2 X1, (v1_partfun1 X1 X2 → False) → v1_funct_2 X1 X2 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (v12_cat_1 (esk5_2 X1 X2) X1 X2 → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → r1_isocat_1 X1 X2 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (m2_cat_1 (esk5_2 X1 X2) X1 X2 → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → r1_isocat_1 X1 X2 → False) → (∀X2 X1 X3, (v2_struct_0 X3 → False) → (v2_struct_0 X2 → False) → (v11_struct_0 X3 → False) → (v11_struct_0 X2 → False) → (v1_funct_1 X1 → False) → v2_cat_1 X3 → v2_cat_1 X2 → v3_cat_1 X3 → v3_cat_1 X2 → v4_cat_1 X3 → v4_cat_1 X2 → v5_cat_1 X3 → v5_cat_1 X2 → v6_cat_1 X3 → v6_cat_1 X2 → l1_cat_1 X3 → l1_cat_1 X2 → m2_cat_1 X1 X2 X3 → False) → (∀X3 X1 X2, (v1_funct_2 X1 X2 X3 → False) → v1_partfun1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (m2_cat_1 (esk11_2 X1 X2) X1 X2 → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → v11_struct_0 (k8_cat_2 X1 X2) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → v2_struct_0 (k8_cat_2 X1 X2) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (r1_isocat_1 X2 X1 → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → r1_isocat_1 X1 X2 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (l1_cat_1 (k8_cat_2 X1 X2) → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (v6_cat_1 (k8_cat_2 X1 X2) → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (v5_cat_1 (k8_cat_2 X1 X2) → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (v4_cat_1 (k8_cat_2 X1 X2) → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (v3_cat_1 (k8_cat_2 X1 X2) → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (v2_cat_1 (k8_cat_2 X1 X2) → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → False) → (∀X1, (m1_subset_1 (u2_graph_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 (u4_struct_0 X1) (u1_struct_0 X1))) → False) → l1_graph_1 X1 → False) → (∀X1, (m1_subset_1 (u1_graph_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 (u4_struct_0 X1) (u1_struct_0 X1))) → False) → l1_graph_1 X1 → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X2 → False) → (v11_struct_0 X1 → False) → (r1_isocat_1 X1 X1 → False) → v2_cat_1 X2 → v2_cat_1 X1 → v3_cat_1 X2 → v3_cat_1 X1 → v4_cat_1 X2 → v4_cat_1 X1 → v5_cat_1 X2 → v5_cat_1 X1 → v6_cat_1 X2 → v6_cat_1 X1 → l1_cat_1 X2 → l1_cat_1 X1 → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X2, ((k2_zfmisc_1 (k10_xtuple_0 X1) (k10_xtuple_0 X2)) = (k10_xtuple_0 (k15_funct_3 X1 X2)) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1, (v1_funct_2 (u2_graph_1 X1) (u4_struct_0 X1) (u1_struct_0 X1) → False) → l1_graph_1 X1 → False) → (∀X1, (v1_funct_2 (u1_graph_1 X1) (u4_struct_0 X1) (u1_struct_0 X1) → False) → l1_graph_1 X1 → False) → (∀X2 X1, (m1_subset_1 (k2_relset_1 X2 X1) (k1_zfmisc_1 X2) → False) → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X1 X2, (v2_funct_1 (k15_funct_3 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v2_funct_1 X2 → v2_funct_1 X1 → False) → (∀X1 X2, (v1_funct_1 (k15_funct_3 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v2_funct_1 X2 → v2_funct_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k15_funct_3 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → v2_funct_1 X2 → v2_funct_1 X1 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (v1_funct_1 (k3_funct_4 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (v1_funct_1 (k15_funct_3 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_funct_4 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k15_funct_3 X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_1 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X2 X1, ((k2_relset_1 X2 X1) = (k10_xtuple_0 X1) → False) → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, v2_struct_0 X1 → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 k1_xboole_0 → False) → (∀X1, (v2_struct_0 X1 → False) → (v13_struct_0 X1 np__1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v1_finset_1 (u1_struct_0 X1) → False) → (∀X1, (v15_struct_0 X1 → False) → l5_struct_0 X1 → v1_zfmisc_1 (u4_struct_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (esk16_1 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (u1_struct_0 X1) → False) → (∀X1, (v11_struct_0 X1 → False) → l5_struct_0 X1 → v1_xboole_0 (u4_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk20_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk15_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (v6_cat_1 X1 → False) → l1_cat_1 X1 → v15_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (v5_cat_1 X1 → False) → l1_cat_1 X1 → v7_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (v4_cat_1 X1 → False) → l1_cat_1 X1 → v15_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (v3_cat_1 X1 → False) → l1_cat_1 X1 → v7_struct_0 X1 → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v11_struct_0 X1 → False) → v2_struct_0 X1 → l5_struct_0 X1 → v14_struct_0 X1 → False) → (∀X1, (v11_struct_0 X1 → False) → v2_struct_0 X1 → l5_struct_0 X1 → v14_struct_0 X1 → False) → (∀X1, (v1_finset_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v8_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 (u4_struct_0 X1) → False) → l5_struct_0 X1 → v15_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v1_xboole_0 (u4_struct_0 X1) → False) → v11_struct_0 X1 → l5_struct_0 X1 → False) → (∀X1, (v1_xboole_0 (u1_struct_0 X1) → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_zfmisc_1 (esk15_1 X1) → False) → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v15_struct_0 X1 → False) → v11_struct_0 X1 → l5_struct_0 X1 → False) → (∀X1, (v14_struct_0 X1 → False) → v11_struct_0 X1 → l5_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v1_funct_1 (u1_cat_1 X1) → False) → l1_cat_1 X1 → False) → (∀X1, (v1_funct_1 (u2_graph_1 X1) → False) → l1_graph_1 X1 → False) → (∀X1, (v1_funct_1 (u1_graph_1 X1) → False) → l1_graph_1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v14_struct_0 X1 → False) → l5_struct_0 X1 → False) → (∀X1, (l1_graph_1 X1 → False) → l1_cat_1 X1 → False) → (∀X1, (l5_struct_0 X1 → False) → l1_graph_1 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l5_struct_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r1_isocat_1 (k8_cat_2 esk1_0 esk3_0) (k8_cat_2 esk2_0 esk4_0) → False) → (v1_xboole_0 np__1 → False) → (v15_struct_0 esk17_0 → False) → (v11_struct_0 esk19_0 → False) → (v11_struct_0 esk18_0 → False) → (v11_struct_0 esk4_0 → False) → (v11_struct_0 esk3_0 → False) → (v11_struct_0 esk2_0 → False) → (v11_struct_0 esk1_0 → False) → (v2_struct_0 esk19_0 → False) → (v2_struct_0 esk18_0 → False) → (v2_struct_0 esk4_0 → False) → (v2_struct_0 esk3_0 → False) → (v2_struct_0 esk2_0 → False) → (v2_struct_0 esk1_0 → 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 X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk14_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk13_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_relat_1 (esk14_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk13_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_funct_1 (esk13_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 (esk14_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, (m1_subset_1 (esk10_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((r1_isocat_1 esk3_0 esk4_0 → False) → False) → ((r1_isocat_1 esk1_0 esk2_0 → False) → False) → ((l1_graph_1 esk7_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v14_struct_0 esk19_0 → False) → False) → ((l5_struct_0 esk17_0 → False) → False) → ((l5_struct_0 esk9_0 → False) → False) → ((l1_struct_0 esk8_0 → False) → False) → ((v1_cat_1 esk19_0 → False) → False) → ((v1_cat_1 esk12_0 → False) → False) → ((l1_cat_1 esk19_0 → False) → False) → ((l1_cat_1 esk18_0 → False) → False) → ((l1_cat_1 esk12_0 → False) → False) → ((l1_cat_1 esk6_0 → False) → False) → ((l1_cat_1 esk4_0 → False) → False) → ((l1_cat_1 esk3_0 → False) → False) → ((l1_cat_1 esk2_0 → False) → False) → ((l1_cat_1 esk1_0 → False) → False) → ((v6_cat_1 esk19_0 → False) → False) → ((v6_cat_1 esk4_0 → False) → False) → ((v6_cat_1 esk3_0 → False) → False) → ((v6_cat_1 esk2_0 → False) → False) → ((v6_cat_1 esk1_0 → False) → False) → ((v5_cat_1 esk19_0 → False) → False) → ((v5_cat_1 esk4_0 → False) → False) → ((v5_cat_1 esk3_0 → False) → False) → ((