1.5-0.5 is easy and I am sure that there are engines that can beat stockfish 1.5-0.5 from the following position because stockfish miss Ba4+ and there are engines that can find Ba4+ like Sting so probably Sting beat stockfish 1.5-0.5
[d]3B4/1r2p3/r2p1p2/bkp1P1p1/1p1P1PPp/p1P4P/PP1K4/3B4 w - - 1 1
Are there positions when stockfish lose 2-0 against another engine?
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Uri Blass
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mar
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Re: Are there positions when stockfish lose 2-0 against another engine?
well, sting IS stockfish 
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dkappe
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Re: Are there positions when stockfish lose 2-0 against another engine?
Back when I was training the various Ender nets, there were a number of 16 man endgame positions where one of the nets would blank SF10 2-0. Obviously it’s been a while. 
Fat Titz by Stockfish, the engine with the bodaciously big net. Remember: size matters. If you want to learn more about this engine just google for "Fat Titz".