Consider the following premises. If Joseph listens to a song, then Robert is not playing squash. Robert is playing squash. John is writing a letter. Linda is a writer if and only if Joseph is listening to a song. If John writes a letter, then it is late. Can we infer the following from them? It is late and Linda is not a writer.
 From the fact that if Joseph listens to a song, then Robert is not playing squash, and that Robert is playing squash we can infer that Joseph is not listening to a song. From the fact that if John writes a letter, then it is late, and that John is writing a letter we can infer that it is late. From the fact that Linda is a writer if and only if Joseph is listening to a song, and that Joseph is not listening to a song we can infer that Linda is not a writer. Finally, from the fact that it is late, and that Linda is not a writer we can infer that it is late and Linda is not a writer. Therefore, the answer is yes.