Consider the following premises. For all x_6, x_6 will drive a car or x_6 will write a letter. For all x_6, x_6 will not go running. For all x_6, if x_6 writes a letter, then x_6 is bored. For all x_6, x_6 will go running or x_6 will play a game. For all x_6, if x_6 drives a car, then x_6 is bored. Can we infer the following from them? For all x_6, x_6 will play a game and x_6 is bored.
 From the fact that for all x_6, x_6 will go running or x_6 will play a game, and that for all x_6, x_6 will not go running we can infer that for all x_6, x_6 will play a game. From the fact that for all x_6, if x_6 drives a car, then x_6 is bored, that for all x_6, if x_6 writes a letter, then x_6 is bored, and that for all x_6, x_6 will drive a car or x_6 will write a letter we can infer that for all x_6, x_6 is bored. Finally, from the fact that for all x_6, x_6 will play a game, and that for all x_6, x_6 is bored we can infer that for all x_6, x_6 will play a game and x_6 is bored. Therefore, the answer is yes.