Consider the following premises. Jessica is not running. If David listens to a song, then William is taking a plane. Patricia is playing squash if and only if David is listening to a song. William is taking a plane if and only if Jessica is running. Can we infer the following from them? Patricia is playing squash.
 From the fact that William is taking a plane if and only if Jessica is running, and that Jessica is not running we can infer that William is not taking a plane. From the fact that if David listens to a song, then William is taking a plane, and that William is not taking a plane we can infer that David is not listening to a song. From the fact that Patricia is playing squash if and only if David is listening to a song we can infer that if Patricia plays squash, then David is listening to a song. Finally, from the fact that if Patricia plays squash, then David is listening to a song, and that David is not listening to a song we can infer that Patricia is not playing squash, which contradicts that Patricia is playing squash. Therefore, the answer is no.