Consider the following premises. For all x_10, if x_10 listens to a song, then x_10 is a bartender. For all x_10, x_10 will not listen to a song. For all x_10, if x_10 were a bartender, then x_10 is listening to a song. Patricia is a bartender if and only if it is snowing. Can we infer the following from them? It is not snowing.
 From the fact that for all x_10, if x_10 were a bartender, then x_10 is listening to a song, and that for all x_10, if x_10 listens to a song, then x_10 is a bartender we can infer that for all x_10, x_10 is a bartender if and only if x_10 will listen to a song. From the fact that for all x_10, x_10 is a bartender if and only if x_10 will listen to a song, and that for all x_10, x_10 will not listen to a song we can infer that for all x_10, x_10 is not a bartender. From the fact that for all x_10, x_10 is not a bartender we can infer that Patricia is not a bartender. Finally, from the fact that Patricia is a bartender if and only if it is snowing, and that Patricia is not a bartender we can infer that it is not snowing. Therefore, the answer is yes.