Consider the following premises. James is bored. Thomas is not an astronaut. Jennifer is listening to a song if and only if Thomas is a mechanic. If Thomas were a mechanic, then Thomas is an astronaut. Can we infer the following from them? Jennifer is listening to a song.
 From the fact that if Thomas were a mechanic, then Thomas is an astronaut, and that Thomas is not an astronaut we can infer that Thomas is not a mechanic. Finally, from the fact that Jennifer is listening to a song if and only if Thomas is a mechanic, and that Thomas is not a mechanic we can infer that Jennifer is not listening to a song, which contradicts that Jennifer is listening to a song. Therefore, the answer is no.