Consider the following premises. If Thomas were an office clerk, then it is overcast. It is raining or Jennifer is not an astronaut. If Susan reads a book, then Thomas is an office clerk. If it rains, then Susan is reading a book. Can we infer the following from them? The fact that Jennifer were an astronaut does not imply that it is overcast.
 From the fact that if it rains, then Susan is reading a book, and that if Susan reads a book, then Thomas is an office clerk we can infer that if it rains, then Thomas is an office clerk. From the fact that it is raining or Jennifer is not an astronaut we can infer that if Jennifer were an astronaut, then it is raining. From the fact that if it rains, then Thomas is an office clerk, and that if Thomas were an office clerk, then it is overcast we can infer that if it rains, then it is overcast. Finally, from the fact that if Jennifer were an astronaut, then it is raining, and that if it rains, then it is overcast we can infer that if Jennifer were an astronaut, then it is overcast, which contradicts that The fact that Jennifer were an astronaut does not imply that it is overcast. Therefore, the answer is no.