Consider the following premises. For all x_5, if x_5 takes a plane, then x_5 is bored. There is at least one x_5 for which x_5 will take a plane or x_5 will play a game. For all x_5, if x_5 plays a game, then x_5 is bored. For all x_5, if x_5 were bored, then x_5 is playing a game. Can we infer the following from them? For all x_5, x_5 is not bored.
 From the fact that for all x_5, if x_5 were bored, then x_5 is playing a game, and that for all x_5, if x_5 plays a game, then x_5 is bored we can infer that for all x_5, x_5 is bored if and only if x_5 will play a game. From the fact that for all x_5, x_5 is bored if and only if x_5 will play a game we can infer that for all x_5, if x_5 plays a game, then x_5 is bored. Finally, from the fact that for all x_5, if x_5 takes a plane, then x_5 is bored, that for all x_5, if x_5 plays a game, then x_5 is bored, and that there is at least one x_5 for which x_5 will take a plane or x_5 will play a game we can infer that there is at least one x_5 for which x_5 is bored, which contradicts that For all x_5, x_5 is not bored. Therefore, the answer is no.