Consider the following premises. For all x_5, if x_5 were a poet, then x_5 is a politician. For all x_5, if x_5 were a politician, then x_5 is a poet. For all x_5, x_5 is not a politician. There is at least one x_5 for which x_5 is a poet or x_5 is an office clerk. Can we infer the following from them? There is at least one x_5 for which x_5 is an office clerk.
 From the fact that for all x_5, if x_5 were a poet, then x_5 is a politician, and that for all x_5, if x_5 were a politician, then x_5 is a poet we can infer that for all x_5, x_5 is a poet if and only if x_5 is a politician. From the fact that for all x_5, x_5 is a poet if and only if x_5 is a politician, and that for all x_5, x_5 is not a politician we can infer that for all x_5, x_5 is not a poet. Finally, from the fact that there is at least one x_5 for which x_5 is a poet or x_5 is an office clerk, and that for all x_5, x_5 is not a poet we can infer that there is at least one x_5 for which x_5 is an office clerk. Therefore, the answer is yes.