Consider the following premises. Jessica is not working. For all x_12, if x_12 were a writer, then x_12 is working. If Jessica works, then it is late. If it is late, then Jessica is a writer. Can we infer the following from them? It is late.
 From the fact that for all x_12, if x_12 were a writer, then x_12 is working we can infer that if Jessica were a writer, then Jessica is working. From the fact that if it is late, then Jessica is a writer, and that if Jessica were a writer, then Jessica is working we can infer that if it is late, then Jessica is working. From the fact that if it is late, then Jessica is working, and that if Jessica works, then it is late we can infer that it is late if and only if Jessica is working. Finally, from the fact that it is late if and only if Jessica is working, and that Jessica is not working we can infer that it is not late, which contradicts that It is late. Therefore, the answer is no.