Consider the following premises. For all x_13, if x_13 plays a game, then x_13 is making tea. For all x_13, if x_13 makes tea, then x_13 is playing a game. For all x_13, x_13 is a bartender if and only if x_13 will listen to a song. For all x_13, if x_13 listens to a song, then x_13 is playing a game. For all x_13, x_13 will not make tea. There is at least one x_13 for which x_13 is a poet if and only if x_13 is a bartender. Can we infer the following from them? For all x_13, x_13 is a poet.
 From the fact that for all x_13, if x_13 makes tea, then x_13 is playing a game, and that for all x_13, if x_13 plays a game, then x_13 is making tea we can infer that for all x_13, x_13 will make tea if and only if x_13 will play a game. From the fact that for all x_13, x_13 will make tea if and only if x_13 will play a game, and that for all x_13, x_13 will not make tea we can infer that for all x_13, x_13 will not play a game. From the fact that for all x_13, if x_13 listens to a song, then x_13 is playing a game, and that for all x_13, x_13 will not play a game we can infer that for all x_13, x_13 will not listen to a song. From the fact that for all x_13, x_13 is a bartender if and only if x_13 will listen to a song, and that for all x_13, x_13 will not listen to a song we can infer that for all x_13, x_13 is not a bartender. Finally, from the fact that there is at least one x_13 for which x_13 is a poet if and only if x_13 is a bartender, and that for all x_13, x_13 is not a bartender we can infer that there is at least one x_13 for which x_13 is not a poet, which contradicts that For all x_13, x_13 is a poet. Therefore, the answer is no.