Theorem. (
t59_robbins2)
∀m1_subset_1 : set → set → prop, ∀u1_struct_0 : set → set, ∀k6_robbins1 : set → set → set → set, ∀k5_robbins1 : set → set → set → set, ∀v4_lattices : set → prop, ∀v6_robbins1 : set → prop, ∀k4_robbins1 : set → set → set → set, ∀v7_robbins1 : set → prop, ∀v14_lattices : set → prop, ∀v13_struct_0 : set → set → prop, ∀np__1 : set, ∀l1_struct_0 : set → prop, ∀k1_xboole_0 : set, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀v1_xboole_0 : set → prop, ∀esk14_0 : set, ∀esk13_1 : set → set, ∀esk11_0 : set, ∀esk12_0 : set, ∀esk10_0 : set, ∀esk9_0 : set, ∀esk1_0 : set, ∀v1_zfmisc_1 : set → prop, ∀v7_struct_0 : set → prop, ∀v5_robbins1 : set → prop, ∀l1_robbins1 : set → prop, ∀v5_lattices : set → prop, ∀esk7_1 : set → set, ∀esk8_1 : set → set, ∀esk6_1 : set → set, ∀l2_lattices : set → prop, ∀v1_robbins2 : set → prop, ∀esk4_1 : set → set, ∀k1_lattices : set → set → set → set, ∀esk2_1 : set → set, ∀esk5_1 : set → set, ∀esk3_1 : set → set, ∀k3_robbins1 : set → set → set, ∀l2_robbins1 : set → prop, ∀v2_struct_0 : set → prop, (∀X1, (v2_struct_0 X1 → False) → (v1_robbins2 X1 → False) → (k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 (k1_lattices X1 (esk2_1 X1) (esk3_1 X1))) (esk4_1 X1))) (k3_robbins1 X1 (k1_lattices X1 (esk2_1 X1) (k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 (esk4_1 X1)) (k3_robbins1 X1 (k1_lattices X1 (esk4_1 X1) (esk5_1 X1))))))))) = (esk4_1 X1) → l2_robbins1 X1 → False) → (∀X5 X2 X3 X4 X1, ((k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 (k1_lattices X1 X2 X3)) X4)) (k3_robbins1 X1 (k1_lattices X1 X2 (k3_robbins1 X1 (k1_lattices X1 (k3_robbins1 X1 X4) (k3_robbins1 X1 (k1_lattices X1 X4 X5)))))))) = X4 → False) → (v2_struct_0 X1 → False) → l2_robbins1 X1 → v1_robbins2 X1 → m1_subset_1 X5 (u1_struct_0 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) → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_lattices X1 → False) → (k1_lattices X1 (k1_lattices X1 (esk6_1 X1) (esk7_1 X1)) (esk8_1 X1)) = (k1_lattices X1 (esk6_1 X1) (k1_lattices X1 (esk7_1 X1) (esk8_1 X1))) → l2_lattices X1 → False) → (∀X4 X3 X2 X1, ((k5_robbins1 X1 (k6_robbins1 X1 X2 X3) (k6_robbins1 X1 X2 X4)) = (k6_robbins1 X1 X2 (k5_robbins1 X1 X3 X4)) → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 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) → False) → (∀X4 X3 X2 X1, ((k6_robbins1 X1 (k5_robbins1 X1 X2 X3) (k5_robbins1 X1 X2 X4)) = (k5_robbins1 X1 X2 (k6_robbins1 X1 X3 X4)) → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 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) → False) → (∀X4 X3 X2 X1, ((k6_robbins1 X1 (k6_robbins1 X1 X2 X3) X4) = (k6_robbins1 X1 X2 (k6_robbins1 X1 X3 X4)) → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 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) → False) → (∀X4 X3 X2 X1, ((k1_lattices X1 (k1_lattices X1 X2 X3) X4) = (k1_lattices X1 X2 (k1_lattices X1 X3 X4)) → False) → (v2_struct_0 X1 → False) → v5_lattices X1 → l2_lattices 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) → False) → (∀X2 X3 X1, ((k4_robbins1 X1 (k1_lattices X1 X3 X2) (k1_lattices X1 X3 (k3_robbins1 X1 X2))) = X3 → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k3_robbins1 X1 (k6_robbins1 X1 (k3_robbins1 X1 X2) (k3_robbins1 X1 X3))) = (k5_robbins1 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k6_robbins1 X1 X2 (k5_robbins1 X1 X2 X3)) = X2 → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k6_robbins1 X1 X2 X3) (u1_struct_0 X1) → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k5_robbins1 X1 X2 X3) (u1_struct_0 X1) → False) → v4_lattices X1 → l2_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k4_robbins1 X1 X2 X3) (u1_struct_0 X1) → False) → l2_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k1_lattices X1 X2 X3) (u1_struct_0 X1) → False) → l2_lattices X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, ((k6_robbins1 X1 X2 X3) = (k4_robbins1 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, ((k6_robbins1 X1 X2 X3) = (k6_robbins1 X1 X3 X2) → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k5_robbins1 X1 X2 X3) = (k1_lattices X1 X2 X3) → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → l2_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k5_robbins1 X1 X2 X3) = (k5_robbins1 X1 X3 X2) → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → l2_robbins1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, ((k5_robbins1 X1 X2 X2) = X2 → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, ((k3_robbins1 X1 (k3_robbins1 X1 X2)) = X2 → False) → (v2_struct_0 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k3_robbins1 X1 X2) (u1_struct_0 X1) → False) → l1_robbins1 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → (v14_lattices X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 X1 → v7_robbins1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_robbins2 X1 → False) → (m1_subset_1 (esk5_1 X1) (u1_struct_0 X1) → False) → l2_robbins1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_robbins2 X1 → False) → (m1_subset_1 (esk4_1 X1) (u1_struct_0 X1) → False) → l2_robbins1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_robbins2 X1 → False) → (m1_subset_1 (esk3_1 X1) (u1_struct_0 X1) → False) → l2_robbins1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_robbins2 X1 → False) → (m1_subset_1 (esk2_1 X1) (u1_struct_0 X1) → False) → l2_robbins1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_lattices X1 → False) → (m1_subset_1 (esk8_1 X1) (u1_struct_0 X1) → False) → l2_lattices X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_lattices X1 → False) → (m1_subset_1 (esk7_1 X1) (u1_struct_0 X1) → False) → l2_lattices X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_lattices X1 → False) → (m1_subset_1 (esk6_1 X1) (u1_struct_0 X1) → False) → l2_lattices X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v7_robbins1 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v6_robbins1 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v6_robbins1 X1 → False) → v4_lattices X1 → v5_lattices X1 → l2_robbins1 X1 → v5_robbins1 X1 → 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, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v1_finset_1 (u1_struct_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → v2_struct_0 X1 → l1_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 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v7_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) → (v5_robbins1 X1 → False) → l2_robbins1 X1 → v1_robbins2 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v5_lattices X1 → False) → l2_robbins1 X1 → v1_robbins2 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v4_lattices X1 → False) → l2_robbins1 X1 → v1_robbins2 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, (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, (l1_robbins1 X1 → False) → l2_robbins1 X1 → False) → (∀X1, (l2_lattices X1 → False) → l2_robbins1 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_robbins1 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l2_lattices X1 → False) → (v1_robbins2 esk1_0 → False) → (v2_struct_0 esk14_0 → False) → (v2_struct_0 esk1_0 → False) → (∀X1, (m1_subset_1 (esk13_1 X1) X1 → False) → False) → ((l1_robbins1 esk9_0 → False) → False) → ((l2_lattices esk11_0 → False) → False) → ((l1_struct_0 esk10_0 → False) → False) → ((v1_robbins2 esk14_0 → False) → False) → ((v5_robbins1 esk1_0 → False) → False) → ((l2_robbins1 esk14_0 → False) → False) → ((l2_robbins1 esk12_0 → False) → False) → ((l2_robbins1 esk1_0 → False) → False) → ((v5_lattices esk14_0 → False) → False) → ((v5_lattices esk1_0 → False) → False) → ((v4_lattices esk14_0 → False) → False) → ((v4_lattices esk1_0 → False) → False) → False