Sorry to (maybe) make you sad, but there is no way a Mephisto II can ever beat current Stockfish version.

Maybe you know there is an UCI compatible Rebel Century program? Well, more accurately, a Winboard version one can use with Wb2UCI adapter. What matters is: it can run full speed on any modern CPU. An Ed Schröder gift to the chess community.

A large match (1000 games) has been performed: the year 2000 Rebel Century (so muuuuuuch stronger than the Mephisto II) on fast hardware facing Stockfish with 1000:1 time odds.
Rebel Century: 30 minutes for the game + 30 seconds increment/move
Stockfish: 1.8 seconds for the game + 0.03 seconds increment/move

The result: Stockfish won 896, drew 96, lost 8.
+442 Elo performance for SF.
source

Set any time odds you want in favor of Mephisto II, guess the result...
MfG,
Tibono