Consider the following premises. For all x_16, if x_16 drinks water, then x_16 is running. For all x_16, x_16 will go running or x_16 is not an astronaut. There is at least one x_16 for which x_16 will not play a game or x_16 is an astronaut. For all x_16, x_16 will play a game or x_16 will drink water. Can we infer the following from them? There is at least one x_16 for which x_16 will go running or x_16 is poor.
 From the fact that for all x_16, x_16 will play a game or x_16 will drink water, and that there is at least one x_16 for which x_16 will not play a game or x_16 is an astronaut we can infer that there is at least one x_16 for which x_16 will drink water or x_16 is an astronaut. From the fact that for all x_16, x_16 will go running or x_16 is not an astronaut we can infer that for all x_16, if x_16 were an astronaut, then x_16 is running. From the fact that for all x_16, if x_16 drinks water, then x_16 is running, that for all x_16, if x_16 were an astronaut, then x_16 is running, and that there is at least one x_16 for which x_16 will drink water or x_16 is an astronaut we can infer that there is at least one x_16 for which x_16 will go running. Finally, from the fact that there is at least one x_16 for which x_16 will go running we can infer that there is at least one x_16 for which x_16 will go running or x_16 is poor. Therefore, the answer is yes.