As a listening exercise, why is this not the same as "Αυτοι δεν ειναι κουρασμενοι"? I'm not sure how the context would be derived here form this sentence alone.
I know, homophones, and especially αυτή-αυτοί, are a bit of a problem. We can't fix them for now (as far as I know), only disable some of the most confusing ones in listening exercises so that the learner doesn't get disoriented. Thank you for your comment though ^.^