“Who ya gonna vote for? None of the above!”

Here’s one of my favourite little logic problems, courtesy of Faron. It’s about time I got this off my noticeboard and onto my interwebs.

Which of the following is true?

  1. All of the below.
  2. None of the below.
  3. All of the above.
  4. One of the above.
  5. None of the above.
  6. None of the above.

Solutions involving exhaustive analysis of the 2^6 possibilities are forbidden, although elegant code doing so will at least be admired for its cleverness, especially if it’s in Haskell. ;-)