Consider the following premises. For all x_11, if x_11 listens to a song, then x_11 is playing a game. There is at least one x_11 for which x_11 will not play a game. For all x_11, x_11 will listen to a song or x_11 will not play a game. For all x_11, x_11 will drink water if and only if x_11 will listen to a song. Can we infer the following from them? For all x_11, x_11 will drink water.
 From the fact that for all x_11, x_11 will listen to a song or x_11 will not play a game we can infer that for all x_11, if x_11 plays a game, then x_11 is listening to a song. From the fact that for all x_11, if x_11 listens to a song, then x_11 is playing a game, and that for all x_11, if x_11 plays a game, then x_11 is listening to a song we can infer that for all x_11, x_11 will listen to a song if and only if x_11 will play a game. From the fact that for all x_11, x_11 will listen to a song if and only if x_11 will play a game, and that there is at least one x_11 for which x_11 will not play a game we can infer that there is at least one x_11 for which x_11 will not listen to a song. Finally, from the fact that for all x_11, x_11 will drink water if and only if x_11 will listen to a song, and that there is at least one x_11 for which x_11 will not listen to a song we can infer that there is at least one x_11 for which x_11 will not drink water, which contradicts that For all x_11, x_11 will drink water. Therefore, the answer is no.