system
Given the following post, respond as if you're commenting on Reddit:
human
[Lord of the Rings] What if the Ring could not be destroyed at Mount Doom?

If the One Ring, for some reason, could not be destroyed (be it that the path into Mount Doom was destroyed, caved in, etc.) how long do you think the Fellowship and the Men and Elves of the West could have hidden it from Sauron and his massive legions? What would happen when he discovered where it was hidden?

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Either Frodo can find out for himself when he reaches Mount Doom, or the Fellowship can know from the beginning, up to you.
gpt
The Ring lands in the lava and just kind of sits there?  Gollum, meanwhile, dies a terrible fiery death three feet to the side.  There's a good chance Frodo is still Ring-crazy and jumps after him, since there isn't the immediate release from Sauron's influence.  The Wraiths were still reacting to Frodo's claim of the One Ring as hobbit lord of Mordor, so they'd probably fish it out of the molten rock.  

Though, Nazgul and fire don't mix very well, so Sauron might have to craft the One Pair of Tongs or something.