Consider the following premises. Susan is driving a car if and only if it is late. It is not late. Susan is driving a car if and only if Sarah is playing squash. Can we infer the following from them? Sarah is not playing squash or Jennifer is cooking.
 From the fact that Susan is driving a car if and only if it is late we can infer that if Susan drives a car, then it is late. From the fact that if Susan drives a car, then it is late, and that it is not late we can infer that Susan is not driving a car. From the fact that Susan is driving a car if and only if Sarah is playing squash, and that Susan is not driving a car we can infer that Sarah is not playing squash. Finally, from the fact that Sarah is not playing squash we can infer that Sarah is not playing squash or Jennifer is cooking. Therefore, the answer is yes.