Consider the following premises. For all y, y will go running or y is a poet. For all y, y will not go running. There is at least one y for which y is a police officer. Can we infer the following from them? For all y, either y is a police officer or y is a poet are not true.
 From the fact that for all y, y will go running or y is a poet, and that for all y, y will not go running we can infer that for all y, y is a poet. Finally, from the fact that there is at least one y for which y is a police officer, and that for all y, y is a poet we can infer that there is at least one y for which y is a police officer and y is a poet, which contradicts that For all y, either y is a police officer or y is a poet are not true. Therefore, the answer is no.