[d]4r3/pk3p1p/6p1/2R3P1/5P2/4P3/PP6/1K6 w - - 0 38
Here Kasparov plays 38.Re5!!, and after exchange the pawn ending is won for white. If black does not exchange-white checks on 7-th rank and wins effortlessly as well.
I would be really surprised if any engines finds this in reasonable time.
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7845: Kasparov,G - Andersson,U, World Cup Reykjavik 1988
4r3/pk3p1p/6p1/2R3P1/5P2/4P3/PP6/1K6 w - - 0 1
Analysis by Fritz 10:
...
38.Rc3 h6 39.gxh6 Rh8 40.Rb3+ Kc6 41.Ra3 Kb7 42.Rd3 Kc7 43.Ra3
+/- (1.05) Depth: 19/38 00:01:36 152mN
38.Rc3 h6 39.gxh6 Rh8 40.Rb3+ Kc6 41.Ra3 Kb7 42.Rd3 Kc7
+/- (1.05) Depth: 20/48 00:03:54 371mN
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Analysis by bright-0.3a:
...
38.Rc3 Re6 39.Kc2 f6 40.gxf6 Rxf6 41.Kd3 a5 42.Rc2 Rf7 43.Ke4 Rc7 44.Rxc7+ Kxc7 45.f5 gxf5+ 46.Kxf5 Kc6 47.a3 Kc5 48.a4 Kc4 49.e4 h5 50.e5
+/- (1.09) Depth: 20/42 00:00:54 153mN
38.Rc3 Re6 39.Kc2 f6 40.gxf6 Rxf6 41.Kd3 a5 42.Rc2 Rf7 43.Ke4 Rc7 44.Rxc7+ Kxc7 45.f5 gxf5+ 46.Kxf5 Kd6 47.e4 h5 48.e5+ Ke7 49.b3 h4 50.Kf4
+/- (1.11) Depth: 21/42 00:01:46 309mN
38.Rc3 Re6 39.Kc2 f6 40.gxf6 Rxf6 41.Kd3 a5 42.Rc2 a4 43.a3 Kb6 44.Rc4 Kb5 45.Rb4+ Ka5 46.Rb7 h5 47.Kd4 Rb6 48.Ra7+ Kb5 49.Kd5 Rc6 50.Rb7+ Rb6
+/- (1.12) Depth: 22/49 00:05:26 941mN
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Analysis by Toga II 1.4 beta5c:
38.Rc3 Rh8 39.Rc4 h5 40.gxh6 Rxh6 41.Re4 Kb6 42.Re7 f5 43.Kc2 Rh2+ 44.Kc3 Re2 45.Re6+ Kc7 46.a4 Kd7 47.Kd3 Kxe6 48.Kxe2 Kd5 49.Kd3 Kc5 50.Kc3 Kd5 51.b4 Ke4 52.Kd2 Kd5 53.Kd3 a6
+/- (1.28) Depth: 26/61 00:15:36 1994mN
Note guys that Kasparov had planned all this well before, but if I rewind 4-5 moves back I think it would be too unfair to the engines