Consider the following premises. There is at least one x_6 for which if x_6 were rich, then x_6 is playing squash. For all x_6, if x_6 were a doctor, then x_6 is rich. For all x_6, if x_6 plays squash, then x_6 is a soldier. For all x_6, if x_6 goes running, then x_6 is a doctor. Can we infer the following from them? There is at least one x_6 for which if x_6 goes running, then x_6 is a soldier.
 From the fact that there is at least one x_6 for which if x_6 were rich, then x_6 is playing squash, and that for all x_6, if x_6 plays squash, then x_6 is a soldier we can infer that there is at least one x_6 for which if x_6 were rich, then x_6 is a soldier. From the fact that for all x_6, if x_6 were a doctor, then x_6 is rich, and that there is at least one x_6 for which if x_6 were rich, then x_6 is a soldier we can infer that there is at least one x_6 for which if x_6 were a doctor, then x_6 is a soldier. Finally, from the fact that for all x_6, if x_6 goes running, then x_6 is a doctor, and that there is at least one x_6 for which if x_6 were a doctor, then x_6 is a soldier we can infer that there is at least one x_6 for which if x_6 goes running, then x_6 is a soldier. Therefore, the answer is yes.