26 Dec '19 12:41>
@coquette saidIf you remove the 50-move and 3-position rules, the game can go on until the death of whichever player is the most mortal. Just shuffle a pair of knights around and you will never make any progress. That's the very point of those rules: to stop games from being potentially infinite.
Intuitively, a "legal" game, without any of the draw options available, would extend far beyond a mere 6000 moves. I'd guess, offhand, that 6 million moves wouldn't be enough.
And yes, the analysis that led to the numbers quoted was reasonable. A much less thorough back-of-the-envelope estimate: after 50 moves, either a pawn must be moved or a piece must be taken. There are ~30 pieces on the board, and a maximum of ~15×~8 pawn moves, makes ~150×50=~7500 moves, max. All of those numbers except the 50 are rough approximations, but the result is going to be of the right order of size. The analysis that led to the nearly 6000 was rather more exact.