Consider the following premises. There is at least one x_6 for which x_6 will play squash if and only if x_6 is a scientist. For all x_6, x_6 is a janitor or x_6 will sleep. For all x_6, x_6 is not a janitor. For all x_6, if x_6 were a scientist, then x_6 is not sleeping. Can we infer the following from them? There is at least one x_6 for which x_6 will not play squash.
 From the fact that for all x_6, x_6 is a janitor or x_6 will sleep, and that for all x_6, x_6 is not a janitor we can infer that for all x_6, x_6 will sleep. From the fact that for all x_6, if x_6 were a scientist, then x_6 is not sleeping, and that for all x_6, x_6 will sleep we can infer that for all x_6, x_6 is not a scientist. Finally, from the fact that there is at least one x_6 for which x_6 will play squash if and only if x_6 is a scientist, and that for all x_6, x_6 is not a scientist we can infer that there is at least one x_6 for which x_6 will not play squash. Therefore, the answer is yes.