Consider the following premises. For all x_3, if x_3 were a soldier, then x_3 is a doctor. For all x_3, if x_3 climbs a mountain, then x_3 is a doctor. For all x_3, x_3 will not play tennis or x_3 will drink water. For all x_3, if x_3 drinks water, then x_3 is a soldier. For all x_3, x_3 will play tennis or x_3 will climb a mountain. Can we infer the following from them? For all x_3, x_3 is a doctor.
 From the fact that for all x_3, if x_3 drinks water, then x_3 is a soldier, and that for all x_3, if x_3 were a soldier, then x_3 is a doctor we can infer that for all x_3, if x_3 drinks water, then x_3 is a doctor. From the fact that for all x_3, x_3 will play tennis or x_3 will climb a mountain, and that for all x_3, x_3 will not play tennis or x_3 will drink water we can infer that for all x_3, x_3 will climb a mountain or x_3 will drink water. Finally, from the fact that for all x_3, if x_3 climbs a mountain, then x_3 is a doctor, that for all x_3, if x_3 drinks water, then x_3 is a doctor, and that for all x_3, x_3 will climb a mountain or x_3 will drink water we can infer that for all x_3, x_3 is a doctor. Therefore, the answer is yes.