Consider the following premises. For all x_11, if x_11 reads a book, then x_11 is listening to a song. For all x_11, if x_11 were a sailor, then x_11 is reading a book. Jessica is a sailor or Michael is not cooking. Can we infer the following from them? The fact that Michael cooks does not imply that Jessica is listening to a song.
That contradicts the premises. Therefore the answer is no.