Consider the following premises. If Jennifer listens to a song, then Sarah is poor. Karen is driving a car or Jennifer is listening to a song. If Karen drives a car, then Susan is a carpenter. Susan is a carpenter if and only if Sarah is poor. Can we infer the following from them? Susan is not a carpenter.
 From the fact that Susan is a carpenter if and only if Sarah is poor we can infer that if Sarah were poor, then Susan is a carpenter. From the fact that if Jennifer listens to a song, then Sarah is poor, and that if Sarah were poor, then Susan is a carpenter we can infer that if Jennifer listens to a song, then Susan is a carpenter. Finally, from the fact that if Karen drives a car, then Susan is a carpenter, that if Jennifer listens to a song, then Susan is a carpenter, and that Karen is driving a car or Jennifer is listening to a song we can infer that Susan is a carpenter, which contradicts that Susan is not a carpenter. Therefore, the answer is no.