Consider the following premises. For all x_18, x_18 will play a game if and only if x_18 will listen to a song. For all x_18, if x_18 were a scientist, then x_18 is listening to a song. For all x_18, x_18 will play a game. Can we infer the following from them? If we can, name the inference rule being used: Linda is not listening to a song.
 From the fact that for all x_18, x_18 will play a game we can infer that for all x_18, x_18 will play a game or x_18 is a scientist via universal addition. From the fact that for all x_18, x_18 will play a game if and only if x_18 will listen to a song we can infer that for all x_18, if x_18 plays a game, then x_18 is listening to a song via universal biconditional elimination. Finally, from the fact that for all x_18, if x_18 plays a game, then x_18 is listening to a song, that for all x_18, if x_18 were a scientist, then x_18 is listening to a song, and that for all x_18, x_18 will play a game or x_18 is a scientist we can infer that for all x_18, x_18 will listen to a song via universal disjunction elimination, which contradicts that Linda is not listening to a song. Therefore, the answer is no.