Consider the following premises. There is at least one x_5 for which if x_5 were a soldier, then x_5 is running. For all x_5, x_5 is bored or x_5 is a soldier. For all x_5, if x_5 goes running, then x_5 is bored. For all x_5, if x_5 were bored, then x_5 is running. Can we infer the following from them? There is at least one x_5 for which x_5 will go running.
 From the fact that for all x_5, if x_5 were bored, then x_5 is running, and that for all x_5, if x_5 goes running, then x_5 is bored we can infer that for all x_5, x_5 is bored if and only if x_5 will go running. From the fact that for all x_5, x_5 is bored if and only if x_5 will go running we can infer that for all x_5, if x_5 were bored, then x_5 is running. Finally, from the fact that for all x_5, if x_5 were bored, then x_5 is running, that there is at least one x_5 for which if x_5 were a soldier, then x_5 is running, and that for all x_5, x_5 is bored or x_5 is a soldier we can infer that there is at least one x_5 for which x_5 will go running. Therefore, the answer is yes.