Consider the following premises. If Richard works, then Richard is listening to a song. For all x_10, if x_10 works, then x_10 is listening to a song. For all x_10, if x_10 listens to a song, then x_10 is working. Can we infer the following from them? If we can, name the inference rule being used: If is not true that Richard is working if and only if Richard is listening to a song.
That contradicts the premises. Therefore the answer is no.