Consider the following premises. For all x_10, x_10 will go running. For all x_10, if x_10 goes running, then x_10 is playing a game. For all x_10, x_10 is not a carpenter. For all x_10, x_10 is a carpenter. Can we infer the following from them? For all x_10, x_10 will play a game.
 From the fact that for all x_10, x_10 is a carpenter we can infer that for all x_10, x_10 is a carpenter or x_10 is a poet. From the fact that for all x_10, x_10 is a carpenter or x_10 is a poet, and that for all x_10, x_10 is not a carpenter we can infer that for all x_10, x_10 is a poet. Finally, from the fact that for all x_10, if x_10 goes running, then x_10 is playing a game, and that for all x_10, x_10 will go running we can infer that for all x_10, x_10 will play a game. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.