Consider the following premises. For all x_11, x_11 is a soldier and x_11 will play squash. For all x_11, if x_11 drinks water, then x_11 is not a soldier. For all x_11, x_11 will drink water if and only if x_11 will go running. There is at least one x_11 for which x_11 will go running if and only if x_11 is a scientist. Can we infer the following from them? There is at least one x_11 for which x_11 is not a scientist.
 From the fact that for all x_11, x_11 is a soldier and x_11 will play squash we can infer that for all x_11, x_11 is a soldier. From the fact that for all x_11, if x_11 drinks water, then x_11 is not a soldier, and that for all x_11, x_11 is a soldier we can infer that for all x_11, x_11 will not drink water. From the fact that for all x_11, x_11 will drink water if and only if x_11 will go running, and that for all x_11, x_11 will not drink water we can infer that for all x_11, x_11 will not go running. Finally, from the fact that there is at least one x_11 for which x_11 will go running if and only if x_11 is a scientist, and that for all x_11, x_11 will not go running we can infer that there is at least one x_11 for which x_11 is not a scientist. Therefore, the answer is yes.