Consider the following premises. For all x_16, x_16 will sleep. For all x_16, if x_16 were an office clerk, then x_16 is climbing a mountain. There is at least one x_16 for which if x_16 climbs a mountain, then x_16 is not excited. For all x_16, x_16 is excited if and only if x_16 will sleep. Can we infer the following from them? There is at least one x_16 for which x_16 is not an office clerk.
 From the fact that for all x_16, x_16 is excited if and only if x_16 will sleep we can infer that for all x_16, if x_16 sleeps, then x_16 is excited. From the fact that for all x_16, if x_16 sleeps, then x_16 is excited, and that for all x_16, x_16 will sleep we can infer that for all x_16, x_16 is excited. From the fact that there is at least one x_16 for which if x_16 climbs a mountain, then x_16 is not excited, and that for all x_16, x_16 is excited we can infer that there is at least one x_16 for which x_16 will not climb a mountain. Finally, from the fact that for all x_16, if x_16 were an office clerk, then x_16 is climbing a mountain, and that there is at least one x_16 for which x_16 will not climb a mountain we can infer that there is at least one x_16 for which x_16 is not an office clerk. Therefore, the answer is yes.