They're shut.
3 seconds sound clip from the The NeverEnding Story (1984) movie soundboard.
You can hear this line at 00:53:04 in the Blu-ray version of the movie.
Quote context
[...]
- Let's see what he really thinks of himself.
- Go on, scaredy-cat! Oh, go on!
- Oh, it's my turn. Let me see. I'm the scientist.
- He's going on. I think he's gonna make it.
- The Sphinxes' eyes, are they open or shut? Let me see.
- No, wait. The eyes are opening!
- No.
- Fancy armor doesn't help. The Sphinxes can see straight into your heart.
- Listen, boy. Next time let me see what happens. It's my telescope.
[...]