This is a very natural sort of thing to wonder about. The basic answer is that the laws of physics don't allow any "indestructible" materials. We've described in other answers how simple Special Relativity is inconsistent with the existence of rigid rods. (https://van.physics.illinois.edu/qa/listing.php?id=139) What you're pointing out is that General Relativity, with its black holes, doesn't allow the existence of anything like an indestructible material. Things that get sucked in ultimately come out as thermal radiation, not as anything that resembles what fell in. This remains true even if it turns out the abstract information is preserved in the process.
Mike W.
(published on 08/06/2016)