tb

There's the TCEC [0] which is a big thing in some circles. Stockfish does lose every now and then against top engines. [1] Usually it's two different engines playing against one another, though. Like Leela Chess Zero [2] vs. Stockfish. In that hypothetical of running 2 instances of Stockfish against one another on a modern laptop, with the key difference being minutes of compute time, it'd probably be very close to 100% of draws. Depending on how many games you run. So, if you run a million games, there's probably some outliers. If you run a hundred, maybe not. When it comes to actually solved positions, the 7-piece tables take around 1TB of RAM to even run. These tablebases are used by Stockfish when you actually want to run it at peak strength. [3] [0]: https://tcec-chess.com [1]: https://lichess.org/broadcast/tcec-s28-leagues--superfin

ChessBase is a horrible program and you don’t need it to get your own tablebases. You can generate your own with: https://github.com/syzygy1/tb But everything up to 6 pieces is on BitTorrent these days. The 7 piece tablebase is 20TB or so, so it’ll be a few years before you can fit that one your phone. Pretty sure Lichess has an API for that. Never tried to hook it up to Stockfish or Leela though.