Theorem. (
t55_cat_3)
∀esk11_3 : set → set → set → set, ∀esk4_0 : set, ∀k5_cat_1 : set → set → set → set → set → set → set, ∀m1_cat_1 : set → set → set → set → prop, ∀esk6_0 : set, ∀esk5_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk3_0 : set, ∀k1_xboole_0 : set, ∀esk23_4 : set → set → set → set → set, ∀a_3_0_cat_1 : set → set → set → set, ∀v1_xboole_0 : set → prop, ∀esk31_2 : set → set → set, ∀k1_graph_1 : set → set → set, ∀v7_struct_0 : set → prop, ∀esk26_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk25_1 : set → set, ∀v13_struct_0 : set → set → prop, ∀np__1 : set, ∀v15_struct_0 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀l5_struct_0 : set → prop, ∀v14_struct_0 : set → prop, ∀esk28_0 : set, ∀esk22_1 : set → set, ∀esk19_0 : set, ∀esk17_0 : set, ∀esk20_0 : set, ∀esk18_0 : set, ∀esk24_0 : set, ∀esk27_0 : set, ∀esk29_0 : set, ∀v1_finset_1 : set → prop, ∀v8_struct_0 : set → prop, ∀r1_tarski : set → set → prop, ∀esk30_1 : set → set, ∀k2_graph_1 : set → set → set, ∀l1_graph_1 : set → prop, ∀k1_zfmisc_1 : set → set, ∀esk21_3 : set → set → set → set, ∀o_3_0_cat_3 : set → set → set → set, ∀k3_graph_1 : set → set → set, ∀esk16_5 : set → set → set → set → set → set, ∀esk14_4 : set → set → set → set → set, ∀esk13_4 : set → set → set → set → set, ∀esk15_4 : set → set → set → set → set, ∀esk10_1 : set → set, ∀esk9_0 : set, ∀esk8_0 : set, ∀esk7_0 : set, ∀k1_cat_1 : set → set → set → set, ∀v11_struct_0 : set → prop, ∀v2_cat_1 : set → prop, ∀v4_cat_1 : set → prop, ∀v6_cat_1 : set → prop, ∀u4_struct_0 : set → set, ∀m1_subset_1 : set → set → prop, ∀u1_struct_0 : set → set, ∀r2_cat_3 : set → set → set → set → prop, ∀k4_graph_1 : set → set → set, ∀l1_cat_1 : set → prop, ∀v5_cat_1 : set → prop, ∀v3_cat_1 : set → prop, ∀k2_cat_1 : set → set → set → set, ∀esk12_7 : set → set → set → set → set → set → set → set, ∀r2_hidden : set → set → prop, ∀v2_struct_0 : set → prop, (∀X6 X4 X2 X3 X5 X7 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_hidden (esk12_7 X1 X2 X3 X4 X5 X6 X7) (k2_cat_1 X1 X5 X2) → False) → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X7 (u4_struct_0 X1) → m1_subset_1 X6 (u4_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_cat_3 X1 X2 X3 X4 → r2_hidden X7 (k2_cat_1 X1 X5 (k4_graph_1 X1 X4)) → r2_hidden X6 (k2_cat_1 X1 X5 (k4_graph_1 X1 X3)) → False) → (∀X6 X4 X2 X3 X5 X7 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (m1_subset_1 (esk12_7 X1 X2 X3 X4 X5 X6 X7) (u4_struct_0 X1) → False) → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X7 (u4_struct_0 X1) → m1_subset_1 X6 (u4_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_cat_3 X1 X2 X3 X4 → r2_hidden X7 (k2_cat_1 X1 X5 (k4_graph_1 X1 X4)) → r2_hidden X6 (k2_cat_1 X1 X5 (k4_graph_1 X1 X3)) → False) → (∀X8 X6 X5 X7 X1 X2 X3 X4, ((k1_cat_1 X1 X2 X3) = X4 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (esk12_7 X1 X5 X3 X6 X7 X4 X8) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X8 (u4_struct_0 X1) → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u4_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u4_struct_0 X1) → r2_cat_3 X1 X5 X3 X6 → r2_hidden X2 (k2_cat_1 X1 X7 X5) → r2_hidden X8 (k2_cat_1 X1 X7 (k4_graph_1 X1 X6)) → r2_hidden X4 (k2_cat_1 X1 X7 (k4_graph_1 X1 X3)) → False) → (∀X8 X6 X5 X7 X1 X2 X3 X4, ((k1_cat_1 X1 X2 X3) = X4 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (esk12_7 X1 X5 X6 X3 X7 X8 X4) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X8 (u4_struct_0 X1) → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u4_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u4_struct_0 X1) → r2_cat_3 X1 X5 X6 X3 → r2_hidden X2 (k2_cat_1 X1 X7 X5) → r2_hidden X8 (k2_cat_1 X1 X7 (k4_graph_1 X1 X6)) → r2_hidden X4 (k2_cat_1 X1 X7 (k4_graph_1 X1 X3)) → False) → (∀X4 X3 X7 X8 X2 X5 X6 X1, ((esk12_7 X1 X7 X3 X5 X8 X4 X6) = X2 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (k1_cat_1 X1 X2 X5) = X6 → (k1_cat_1 X1 X2 X3) = X4 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X8 (u1_struct_0 X1) → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u4_struct_0 X1) → m1_subset_1 X5 (u4_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u4_struct_0 X1) → r2_cat_3 X1 X7 X3 X5 → r2_hidden X2 (k2_cat_1 X1 X8 X7) → r2_hidden X6 (k2_cat_1 X1 X8 (k4_graph_1 X1 X5)) → r2_hidden X4 (k2_cat_1 X1 X8 (k4_graph_1 X1 X3)) → False) → (∀X3 X2 X4 X1, ((esk11_3 X1 X3 X4) = X2 → False) → ((k2_cat_1 esk1_0 X1 esk3_0) = k1_xboole_0 → False) → ((k2_cat_1 esk1_0 X1 esk4_0) = k1_xboole_0 → False) → (r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (k5_cat_1 esk1_0 X1 esk2_0 esk3_0 X2 esk5_0) = X3 → (k5_cat_1 esk1_0 X1 esk2_0 esk4_0 X2 esk6_0) = X4 → m1_subset_1 X1 (u1_struct_0 esk1_0) → m1_cat_1 X4 esk1_0 X1 esk4_0 → m1_cat_1 X3 esk1_0 X1 esk3_0 → m1_cat_1 X2 esk1_0 X1 esk2_0 → False) → (∀X1, ((k2_cat_1 esk1_0 esk7_0 esk2_0) = k1_xboole_0 → False) → (esk10_1 X1) = X1 → (k5_cat_1 esk1_0 esk7_0 esk2_0 esk3_0 (esk10_1 X1) esk5_0) = esk8_0 → (k5_cat_1 esk1_0 esk7_0 esk2_0 esk4_0 (esk10_1 X1) esk6_0) = esk9_0 → m1_cat_1 X1 esk1_0 esk7_0 esk2_0 → r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (∀X3 X5 X6 X2 X4 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (m1_cat_1 (k5_cat_1 X1 X2 X3 X4 X5 X6) X1 X2 X4 → False) → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → m1_cat_1 X6 X1 X3 X4 → m1_cat_1 X5 X1 X2 X3 → False) → (∀X5 X2 X3 X4 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → (esk16_5 X1 X2 X3 X4 X5) = X5 → (k1_cat_1 X1 (esk16_5 X1 X2 X3 X4 X5) X4) = (esk15_4 X1 X2 X3 X4) → (k1_cat_1 X1 (esk16_5 X1 X2 X3 X4 X5) X3) = (esk14_4 X1 X2 X3 X4) → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X5 (u4_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden X5 (k2_cat_1 X1 (esk13_4 X1 X2 X3 X4) X2) → False) → (∀X4 X2 X3 X1, ((k2_cat_1 esk1_0 X1 esk3_0) = k1_xboole_0 → False) → ((k2_cat_1 esk1_0 X1 esk4_0) = k1_xboole_0 → False) → ((k5_cat_1 esk1_0 X1 esk2_0 esk4_0 X2 esk6_0) = X3 → False) → (r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (esk11_3 X1 X4 X3) = X2 → m1_subset_1 X1 (u1_struct_0 esk1_0) → m1_cat_1 X4 esk1_0 X1 esk3_0 → m1_cat_1 X3 esk1_0 X1 esk4_0 → m1_cat_1 X2 esk1_0 X1 esk2_0 → False) → (∀X4 X2 X3 X1, ((k2_cat_1 esk1_0 X1 esk3_0) = k1_xboole_0 → False) → ((k2_cat_1 esk1_0 X1 esk4_0) = k1_xboole_0 → False) → ((k5_cat_1 esk1_0 X1 esk2_0 esk3_0 X2 esk5_0) = X3 → False) → (r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (esk11_3 X1 X3 X4) = X2 → m1_subset_1 X1 (u1_struct_0 esk1_0) → m1_cat_1 X4 esk1_0 X1 esk4_0 → m1_cat_1 X3 esk1_0 X1 esk3_0 → m1_cat_1 X2 esk1_0 X1 esk2_0 → False) → (∀X2 X5 X6 X1 X3 X4, ((k2_cat_1 X1 X3 X4) = k1_xboole_0 → False) → ((k2_cat_1 X1 X2 X3) = k1_xboole_0 → False) → ((k5_cat_1 X1 X2 X3 X4 X5 X6) = (k1_cat_1 X1 X5 X6) → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → m1_cat_1 X6 X1 X3 X4 → m1_cat_1 X5 X1 X2 X3 → False) → (∀X1, ((esk10_1 X1) = X1 → False) → ((k2_cat_1 esk1_0 esk7_0 esk2_0) = k1_xboole_0 → False) → ((k5_cat_1 esk1_0 esk7_0 esk2_0 esk4_0 (esk10_1 X1) esk6_0) = esk9_0 → False) → m1_cat_1 X1 esk1_0 esk7_0 esk2_0 → r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (∀X1, ((esk10_1 X1) = X1 → False) → ((k2_cat_1 esk1_0 esk7_0 esk2_0) = k1_xboole_0 → False) → ((k5_cat_1 esk1_0 esk7_0 esk2_0 esk3_0 (esk10_1 X1) esk5_0) = esk8_0 → False) → m1_cat_1 X1 esk1_0 esk7_0 esk2_0 → r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (∀X5 X2 X3 X4 X1, ((esk16_5 X1 X2 X3 X4 X5) = X5 → False) → ((k1_cat_1 X1 (esk16_5 X1 X2 X3 X4 X5) X3) = (esk14_4 X1 X2 X3 X4) → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X5 (u4_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden X5 (k2_cat_1 X1 (esk13_4 X1 X2 X3 X4) X2) → False) → (∀X5 X2 X3 X4 X1, ((esk16_5 X1 X2 X3 X4 X5) = X5 → False) → ((k1_cat_1 X1 (esk16_5 X1 X2 X3 X4 X5) X4) = (esk15_4 X1 X2 X3 X4) → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X5 (u4_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden X5 (k2_cat_1 X1 (esk13_4 X1 X2 X3 X4) X2) → False) → (∀X5 X2 X3 X4 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (r2_hidden (esk16_5 X1 X2 X3 X4 X5) (k2_cat_1 X1 (esk13_4 X1 X2 X3 X4) X2) → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X5 (u4_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden X5 (k2_cat_1 X1 (esk13_4 X1 X2 X3 X4) X2) → False) → (∀X5 X2 X3 X4 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (m1_subset_1 (esk16_5 X1 X2 X3 X4 X5) (u4_struct_0 X1) → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X5 (u4_struct_0 X1) → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden X5 (k2_cat_1 X1 (esk13_4 X1 X2 X3 X4) X2) → False) → (∀X3 X4 X2 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (r2_hidden (esk15_4 X1 X2 X3 X4) (k2_cat_1 X1 (esk13_4 X1 X2 X3 X4) (k4_graph_1 X1 X4)) → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X4 X2 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (r2_hidden (esk14_4 X1 X2 X3 X4) (k2_cat_1 X1 (esk13_4 X1 X2 X3 X4) (k4_graph_1 X1 X3)) → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, ((k2_cat_1 esk1_0 X1 esk3_0) = k1_xboole_0 → False) → ((k2_cat_1 esk1_0 X1 esk4_0) = k1_xboole_0 → False) → (r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (m1_cat_1 (esk11_3 X1 X2 X3) esk1_0 X1 esk2_0 → False) → m1_subset_1 X1 (u1_struct_0 esk1_0) → m1_cat_1 X3 esk1_0 X1 esk4_0 → m1_cat_1 X2 esk1_0 X1 esk3_0 → False) → (∀X1, ((k2_cat_1 esk1_0 esk7_0 esk2_0) = k1_xboole_0 → False) → (m1_cat_1 (esk10_1 X1) esk1_0 esk7_0 esk2_0 → False) → m1_cat_1 X1 esk1_0 esk7_0 esk2_0 → r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (∀X3 X4 X2 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (m1_subset_1 (esk15_4 X1 X2 X3 X4) (u4_struct_0 X1) → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X4 X2 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (m1_subset_1 (esk14_4 X1 X2 X3 X4) (u4_struct_0 X1) → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X4 X2 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (r2_cat_3 X1 X2 X3 X4 → False) → (m1_subset_1 (esk13_4 X1 X2 X3 X4) (u1_struct_0 X1) → False) → (k3_graph_1 X1 X4) = X2 → (k3_graph_1 X1 X3) = X2 → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X4 X1 X3 X2, (v2_struct_0 X2 → False) → (v11_struct_0 X2 → False) → (m1_subset_1 (esk23_4 X1 X2 X3 X4) (u4_struct_0 X2) → False) → l1_cat_1 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_3_0_cat_1 X2 X3 X4) → False) → (∀X4 X2 X3 X1, ((k4_graph_1 X1 (esk23_4 X2 X1 X3 X4)) = X4 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → l1_cat_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → r2_hidden X2 (a_3_0_cat_1 X1 X3 X4) → False) → (∀X4 X2 X3 X1, ((k3_graph_1 X1 (esk23_4 X2 X1 X3 X4)) = X3 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → l1_cat_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → r2_hidden X2 (a_3_0_cat_1 X1 X3 X4) → False) → (∀X1 X2 X3 X4, ((k2_cat_1 X2 X3 X4) = k1_xboole_0 → False) → (v2_struct_0 X2 → False) → (v11_struct_0 X2 → False) → (r2_hidden X1 (k2_cat_1 X2 X3 X4) → False) → l1_cat_1 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u4_struct_0 X2) → m1_cat_1 X1 X2 X3 X4 → False) → (((k2_cat_1 esk1_0 esk7_0 esk2_0) = k1_xboole_0 → False) → (m1_cat_1 esk9_0 esk1_0 esk7_0 esk4_0 → False) → r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (((k2_cat_1 esk1_0 esk7_0 esk2_0) = k1_xboole_0 → False) → (m1_cat_1 esk8_0 esk1_0 esk7_0 esk3_0 → False) → r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (∀X1 X2 X3 X4, ((k2_cat_1 X2 X3 X4) = k1_xboole_0 → False) → (v2_struct_0 X2 → False) → (v11_struct_0 X2 → False) → (m1_cat_1 X1 X2 X3 X4 → False) → l1_cat_1 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u4_struct_0 X2) → r2_hidden X1 (k2_cat_1 X2 X3 X4) → False) → (∀X4 X2 X1 X3, ((k3_graph_1 X1 X2) = X3 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u4_struct_0 X1) → r2_cat_3 X1 X3 X2 X4 → False) → (∀X4 X2 X1 X3, ((k3_graph_1 X1 X2) = X3 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X4 (u4_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u4_struct_0 X1) → r2_cat_3 X1 X3 X4 X2 → False) → (∀X4 X2 X1 X3, ((k4_graph_1 X1 X2) = X3 → False) → ((k2_cat_1 X1 X4 X3) = k1_xboole_0 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → l1_cat_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_cat_1 X2 X1 X4 X3 → False) → (∀X4 X2 X1 X3, ((k3_graph_1 X1 X2) = X3 → False) → ((k2_cat_1 X1 X3 X4) = k1_xboole_0 → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → l1_cat_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_cat_1 X2 X1 X3 X4 → False) → (∀X4 X1 X3 X2, ((esk23_4 X1 X2 X3 X4) = X1 → False) → (v2_struct_0 X2 → False) → (v11_struct_0 X2 → False) → l1_cat_1 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (a_3_0_cat_1 X2 X3 X4) → False) → (∀X2 X3 X4 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (m1_subset_1 X4 (u4_struct_0 X1) → False) → l1_cat_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → m1_cat_1 X4 X1 X2 X3 → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (m1_cat_1 (o_3_0_cat_3 X1 X2 X3) X1 X3 X2 → False) → v2_cat_1 X1 → v3_cat_1 X1 → v4_cat_1 X1 → v5_cat_1 X1 → v6_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → ((k2_cat_1 esk1_0 esk7_0 esk4_0) = k1_xboole_0 → r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → ((k2_cat_1 esk1_0 esk7_0 esk3_0) = k1_xboole_0 → r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (∀X1, ((k2_cat_1 esk1_0 X1 esk3_0) = k1_xboole_0 → False) → ((k2_cat_1 esk1_0 X1 esk4_0) = k1_xboole_0 → False) → (r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (k2_cat_1 esk1_0 X1 esk2_0) = k1_xboole_0 → m1_subset_1 X1 (u1_struct_0 esk1_0) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (m1_cat_1 (esk21_3 X1 X2 X3) X1 X2 X3 → False) → l1_cat_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → ((m1_subset_1 esk7_0 (u1_struct_0 esk1_0) → False) → r2_cat_3 esk1_0 esk2_0 esk5_0 esk6_0 → False) → (∀X1 X5 X4 X3 X2, (v2_struct_0 X2 → False) → (v11_struct_0 X2 → False) → (r2_hidden X3 (a_3_0_cat_1 X2 X4 X5) → False) → X1 = X3 → (k3_graph_1 X2 X1) = X4 → (k4_graph_1 X2 X1) = X5 → l1_cat_1 X2 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X1 (u4_struct_0 X2) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → v5_cat_1 X1 → l1_cat_1 X1 → m1_subset_1 X2 (u1_struct_0 X1) → v1_xboole_0 (k2_cat_1 X1 X2 X2) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (m1_subset_1 (k2_cat_1 X1 X2 X3) (k1_zfmisc_1 (u4_struct_0 X1)) → False) → l1_cat_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (m1_subset_1 (k1_cat_1 X1 X2 X3) (u4_struct_0 X1) → False) → l1_cat_1 X1 → m1_subset_1 X3 (u4_struct_0 X1) → m1_subset_1 X2 (u4_struct_0 X1) → False) → (∀X2 X3 X1, ((a_3_0_cat_1 X1 X2 X3) = (k2_cat_1 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → l1_cat_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk31_2 X3 X2) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (m1_subset_1 (k4_graph_1 X1 X2) (u1_struct_0 X1) → False) → l1_graph_1 X1 → m1_subset_1 X2 (u4_struct_0 X1) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → (m1_subset_1 (k3_graph_1 X1 X2) (u1_struct_0 X1) → False) → l1_graph_1 X1 → m1_subset_1 X2 (u4_struct_0 X1) → False) → (∀X2 X1, (m1_subset_1 (k2_graph_1 X1 X2) (u1_struct_0 X1) → False) → l1_graph_1 X1 → m1_subset_1 X2 (u4_struct_0 X1) → False) → (∀X2 X1, (m1_subset_1 (k1_graph_1 X1 X2) (u1_struct_0 X1) → False) → l1_graph_1 X1 → m1_subset_1 X2 (u4_struct_0 X1) → False) → (∀X2 X1, ((k4_graph_1 X1 X2) = (k2_graph_1 X1 X2) → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → l1_graph_1 X1 → m1_subset_1 X2 (u4_struct_0 X1) → False) → (∀X2 X1, ((k3_graph_1 X1 X2) = (k1_graph_1 X1 X2) → False) → (v2_struct_0 X1 → False) → (v11_struct_0 X1 → False) → l1_graph_1 X1 → m1_subset_1 X2 (u4_struct_0 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, (r2_hidden (esk31_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk30_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → 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 (esk26_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 (esk30_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk25_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 (esk25_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) → (∀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) → ((k2_cat_1 esk1_0 esk2_0 esk4_0) = k1_xboole_0 → False) → ((k2_cat_1 esk1_0 esk2_0 esk3_0) = k1_xboole_0 → False) → (v1_xboole_0 esk29_0 → False) → (v1_xboole_0 np__1 → False) → (v15_struct_0 esk27_0 → False) → (v11_struct_0 esk28_0 → False) → (v11_struct_0 esk1_0 → False) → (v2_struct_0 esk28_0 → False) → (v2_struct_0 esk1_0 → False) → ((m1_cat_1 esk6_0 esk1_0 esk2_0 esk4_0 → False) → False) → ((m1_cat_1 esk5_0 esk1_0 esk2_0 esk3_0 → False) → False) → (∀X1, (m1_subset_1 (esk22_1 X1) X1 → False) → False) → ((m1_subset_1 esk4_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk3_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk2_0 (u1_struct_0 esk1_0) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((v1_xboole_0 esk24_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((l1_graph_1 esk18_0 → False) → False) → ((l5_struct_0 esk27_0 → False) → False) → ((l5_struct_0 esk20_0 → False) → False) → ((l1_struct_0 esk19_0 → False) → False) → ((l1_cat_1 esk28_0 → False) → False) → ((l1_cat_1 esk17_0 → False) → False) → ((l1_cat_1 esk1_0 → False) → False) → ((v6_cat_1 esk1_0 → False) → False) → ((v5_cat_1 esk1_0 → False) → False) → ((v4_cat_1 esk1_0 → False) → False) → ((v3_cat_1 esk1_0 → False) → False) → ((v2_cat_1 esk1_0 → False) → False) → False