I gave up on that one a while back. The only fix I could ever find caused the first two games to put Lara off-map. (It breaks the game). Sit tight. There's supposed to be a multiMAN update some time very soon that should let you use Select+X for BD redirection from internal drive. That might fix the problem if you're just getting a black screen.
If you're getting an error message and kicked back to the XMB multiMAN's full download comes with a tool to patch the game yourself
Fiery the angels fell. Deep thunder rolled around their shoulders... burning with the fires of Orc.