Consider the following premises. William is sad if and only if Jennifer is a bartender. If Jennifer were a bartender, then Linda is running. John is not an office clerk. If Linda goes running, then John is an office clerk. Can we infer the following from them? William is sad.
 From the fact that if Jennifer were a bartender, then Linda is running, and that if Linda goes running, then John is an office clerk we can infer that if Jennifer were a bartender, then John is an office clerk. From the fact that William is sad if and only if Jennifer is a bartender we can infer that if William were sad, then Jennifer is a bartender. From the fact that if William were sad, then Jennifer is a bartender, and that if Jennifer were a bartender, then John is an office clerk we can infer that if William were sad, then John is an office clerk. Finally, from the fact that if William were sad, then John is an office clerk, and that John is not an office clerk we can infer that William is not sad, which contradicts that William is sad. Therefore, the answer is no.