Consider the following premises. If it is sunny, then James is playing squash. If Jessica drives a car, then it is overcast. If Patricia sleeps, then Jessica is driving a car. If James plays squash, then Patricia is sleeping. If it is overcast, then it is sunny. Can we infer the following from them? The fact that James plays squash does not imply that it is overcast.
 From the fact that if James plays squash, then Patricia is sleeping, and that if Patricia sleeps, then Jessica is driving a car we can infer that if James plays squash, then Jessica is driving a car. Finally, from the fact that if James plays squash, then Jessica is driving a car, and that if Jessica drives a car, then it is overcast we can infer that if James plays squash, then it is overcast, which contradicts that The fact that James plays squash does not imply that it is overcast. Therefore, the answer is no.