Consider the following premises. For all x_15, if x_15 plays squash, then x_15 is an electrician. For all x_15, x_15 will play squash if and only if x_15 is a soldier. There is at least one x_15 for which x_15 is an electrician if and only if x_15 will work. For all x_15, x_15 will not work. Can we infer the following from them? There is at least one x_15 for which x_15 is not a soldier.
 From the fact that there is at least one x_15 for which x_15 is an electrician if and only if x_15 will work, and that for all x_15, x_15 will not work we can infer that there is at least one x_15 for which x_15 is not an electrician. From the fact that for all x_15, if x_15 plays squash, then x_15 is an electrician, and that there is at least one x_15 for which x_15 is not an electrician we can infer that there is at least one x_15 for which x_15 will not play squash. Finally, from the fact that for all x_15, x_15 will play squash if and only if x_15 is a soldier, and that there is at least one x_15 for which x_15 will not play squash we can infer that there is at least one x_15 for which x_15 is not a soldier. Therefore, the answer is yes.