I've seen LP twice and Muse once. Both bands are in my personal top 3. LP is really really good live, but IMO the Muse performance topped 'em by just a little bit. Just my opinion.
LP won against strong competition though, so congrats to 'em!
Setlist just posted by the member Ecstasy on LPA:
1. The Requiem
2. Wretches & Kings
3. Papercut
4. Given Up
5. New Divide
6. Faint
7. Empty Spaces (LOL)
8. When They Come For Me
9. No More Sorrow
10. Jornada Del Muerto
11. Waiting For The End
12. Wisdom, Justice & Love
13. Iridescent
14. Numb
15. The Radiance (A weird piano-version anyway)
16. Breaking The Habit
17. Shadow Of The Day
18. Crawling
19. Bleed It Out
20. One Step Closer
21. Fallout
22. The Catalyst
23. The Messenger
24. In The End
25. What I've Done