Professor Kafka tells proudly:
- Today I gave a fascinating lecture.
- There were five students sitting in the first row of the lecture room, and each of them was awake as I started my lecture.
- Each of the five fell asleep exactly twice during my lecture.
- Furthermore, every pair of these five students was simultaneously asleep at some point in time.
- At any moment in time, at least three of these five students were awake and listening closely to my lecture.
Is it possible that professor Kafka remembers the situation correctly?