Consider the following premises. For all x_6, x_6 will play squash. For all x_6, x_6 is a poet if and only if x_6 will work. There is at least one x_6 for which x_6 is a poet if and only if x_6 is a soldier. For all x_6, if x_6 works, then x_6 is not playing squash. Can we infer the following from them? There is at least one x_6 for which x_6 is not a soldier.
 From the fact that for all x_6, if x_6 works, then x_6 is not playing squash, and that for all x_6, x_6 will play squash we can infer that for all x_6, x_6 will not work. From the fact that for all x_6, x_6 is a poet if and only if x_6 will work, and that for all x_6, x_6 will not work we can infer that for all x_6, x_6 is not a poet. Finally, from the fact that there is at least one x_6 for which x_6 is a poet if and only if x_6 is a soldier, and that for all x_6, x_6 is not a poet we can infer that there is at least one x_6 for which x_6 is not a soldier. Therefore, the answer is yes.