JVMerlino wrote:That one did pose a bit of a problem, as I wasn't 100% sure about it. After a bit more lengthy analysis, it does look like Rg8 is better. I'm pretty sure that White can force mate in 13 moves with Rg8, but not as quickly with f8=R.
8/5P1k/2r5/p4K2/P7/6R1/8/8 w - - 0 1
1.Rg8 Rc2 2.Rh8+ Kxh8 3.f8=Q+ Kh7 4.Qf7+ Kh8 5.Qb7 Rc4 6.Qg2 Rc8
7.Qh1+ Kg8 8.Kf6 Rf8+ 9.Kg6 Rf5 10.Qa8+ Rf8 11.Qd5+ Rf7 12.Qxf7+
Kh8 13.Qg7#
jm
Yace calls it in one minute:
[d] 8/5P1k/2r5/p4K2/P7/6R1/8/8 w - - 0 1
Analysis by Yace Paderborn:
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Ke5 Kh6
+- (5.64) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Ke5 Kh6
+- (5.64) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Ke5 Kh6
+- (5.64) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Ke5 Kh6
+- (5.64) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Ke5 Kh6
+- (5.64) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Ke5 Kh6
+- (5.64) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rc7 4.Rh3+ Kg6 5.Ke5
+- (5.72) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rc7 4.Rh3+ Kg6 5.Ke5
+- (5.72) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rc7 4.Rh3+ Kg6 5.Ke5
+- (5.72) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rc7 4.Rh3+ Kg6 5.Ke5
+- (5.72) Depth: 4 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rc7 4.Rh3+ Kg6 5.Ke5
+- (5.72) Depth: 5 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rc7 4.Rh3+ Kg6 5.Ke5
+- (5.72) Depth: 5 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rc7 4.Rh3+ Kg6 5.Ke5
+- (5.72) Depth: 5 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rc7 4.Rh3+ Kg6 5.Ke5
+- (5.72) Depth: 5 00:00:00
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rc2 4.Rf7+ Kh6 5.Rf6+ Kh5 6.Ke5
+- (5.70) Depth: 6/12 00:00:00 30kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rf7
+- (5.71) Depth: 6/12 00:00:00 39kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rg3
+- (5.72) Depth: 6/12 00:00:00 42kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rg3
+- (5.72) Depth: 6/14 00:00:00 58kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Ke5 Rc5+ 4.Kd4 Rf5 5.f8Q Rxf8 6.Rxf8 Kh6
+- (5.71) Depth: 7/14 00:00:00 70kN
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rg6 4.Rh3+ Kg7 5.Rhh8 Rg5+ 6.Ke6 Rf5 7.Rxf5 Kxh8
+- (5.72) Depth: 7/14 00:00:00 78kN
1.f8R Rc5+ 2.Ke6 Rh5 3.Rf7+ Kh6 4.Rf6+ Kh7 5.Rfg6 Rc5
+- (5.82) Depth: 7/14 00:00:00 115kN
1.f8R Rc5+ 2.Ke6 Rh5 3.Rf7+ Kh6 4.Rf6+ Kh7 5.Rfg6 Rc5
+- (5.82) Depth: 7/17 00:00:00 138kN
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Ra6 4.Rb8 Rf6 5.Rb5 Ra6 6.Ke4
+- (5.90) Depth: 8/17 00:00:00 256kN
1.f8R Rc5+ 2.Ke6 Rc6+ 3.Kd5 Ra6 4.Rb8 Rf6 5.Rb5 Ra6 6.Ke4
+- (5.90) Depth: 8/20 00:00:00 344kN
1.f8R Rc7 2.Kg4 Ra7 3.Rf5 Kh6 4.Rh5+ Kg7 5.Kh3+ Kf6 6.Rgg5 Rh7 7.Rxa5
+- (6.29) Depth: 9/20 00:00:00 633kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Ke5 Rc5+ 4.Kd6 Kh6 5.f8Q+ Kh7
+- (6.30) Depth: 9/20 00:00:00 749kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Kh6 4.f8Q+ Kh5
+- (7.30) Depth: 9/22 00:00:00 758kN
1.Rg8 Rc2 2.f8Q Rf2+ 3.Ke6 Rxf8 4.Rxf8 Kg7 5.Rf7+ Kh6 6.Rf5 Kg6 7.Rxa5
+- (7.40) Depth: 9/22 00:00:00 819kN
1.Rg8 Rc2 2.f8Q Rf2+ 3.Ke6 Rxf8 4.Rxf8 Kg7 5.Rf7+ Kh6 6.Rf5 Kg6 7.Rxa5
+- (7.40) Depth: 9/22 00:00:00 902kN
1.Rg8 Rc2 2.f8Q Rf2+ 3.Ke6 Rf7
+- (7.80) Depth: 10/22 00:00:00 919kN
1.Rg8 Rc2 2.f8Q Rf2+ 3.Ke6 Rf7
+- (8.80) Depth: 10/22 00:00:00 922kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ra8 Kh6 7.Rxa5 Kg7 8.Ra7+ Kf8
+- (10.00) Depth: 10/22 00:00:00 1480kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ra8 Kh6 7.Rxa5 Kg7 8.Ra7+ Kf8
+- (10.00) Depth: 10/26 00:00:00 1682kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ra8 Kh6 7.Rxa5 Kg7
+- (10.00) Depth: 11/26 00:00:00 1815kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ra8 Kh6 7.Rxa5 Kg7
+- (10.00) Depth: 11/26 00:00:00 2224kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ra8 Kh6 7.Rxa5 Kg7
+- (10.00) Depth: 12/26 00:00:01 3059kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ra8 Kh6 7.Rxa5 Kg7
+- (10.00) Depth: 12/30 00:00:01 4121kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rf7
+- (10.40) Depth: 13/30 00:00:02 6567kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Ra6
+- (11.40) Depth: 13/32 00:00:02 7257kN
1.Rg8 Rc5+ 2.Kf6 Rc6+ 3.Ke5 Rc5+ 4.Kd4 Rf5 5.f8Q Rd5+ 6.Kc4 Rd4+ 7.Kb5 Rb4+ 8.Kc6 Rc4+ 9.Kd7 Rd4+ 10.Ke7 Re4+ 11.Kd8 Rd4+ 12.Kc7 Rd7+ 13.Kc6 Rc7+ 14.Kd5 Rc5+ 15.Qxc5 Kh6
+- (16.40) Depth: 13/32 00:00:03 9908kN
1.Rg8 Rc5+ 2.Kf6 Rc6+ 3.Ke5 Rc5+ 4.Kd6 Rc1 5.f8Q Rd1+ 6.Kc7 Rc1+ 7.Kb8 Rb1+ 8.Ka8 Rb7 9.Rh8+ Kg6 10.Kxb7 Kg5 11.Qd8+ Kf4
+- (16.60) Depth: 13/34 00:00:03 10825kN
1.Rg8 Rc5+ 2.Kf6 Rc6+ 3.Ke5 Rc5+ 4.Kd6 Rc1 5.f8Q Rd1+ 6.Kc7 Rc1+ 7.Kb8 Rb1+ 8.Ka8 Rb7 9.Rh8+ Kg6 10.Kxb7 Kg5 11.Qd8+ Kf4
+- (16.60) Depth: 13/34 00:00:04 13835kN
1.Rg8 Rc5+ 2.Kf6 Rc6+ 3.Ke5 Rc5+ 4.Kd6 Rc4 5.f8Q Rg4 6.Qf5+ Rg6+ 7.Rxg6 Kh8
+- (17.00) Depth: 14/34 00:00:05 14302kN
1.Rg8 Rc5+ 2.Kf6 Rc6+ 3.Ke5 Rc4
+- (#30) Depth: 14/34 00:00:05 14364kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ke5 Kg5 7.Rg8+ Kh4 8.Kf4 Kh5 9.Rg3 Kh6 10.Ke3 Kh5 11.Rh3+ Kg5
+- (#15) Depth: 14/36 00:00:21 64147kN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ke5 Kg5 7.Rg8+ Kh4 8.Kf4 Kh5 9.Rg3 Kh6 10.Ke3 Kh5 11.Rh3+ Kg5
+- (#15) Depth: 14/36 00:00:42 131mN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ke5 Kg5 7.Rg8+ Kh4 8.Kf4 Kh5 9.Rg1 Kh6 10.Kf5 Kh7 11.Ke6 Kh6 12.Kd5 Kh5 13.Rh1+ Kg4 14.Re1 Kf4 15.Kc5 Kf5
+- (#13) Depth: 15/36 00:00:58 184mN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd5 Rf6 4.f8Q Rxf8 5.Rxf8 Kg6 6.Ke5 Kg5 7.Rg8+ Kh4 8.Kf4 Kh5 9.Rg1 Kh6 10.Kf5 Kh7 11.Ke6 Kh6 12.Kd5 Kh5 13.Rh1+ Kg4 14.Re1 Kf4 15.Kc5 Kf5
+- (#13) Depth: 15/36 00:01:22 262mN
1.Rg8 Rc5+ 2.Ke6 Rc6+ 3.Kd7 Rf6 4.Ke7 Rf5 5.f8Q Rxf8 6.Kxf8 Kh6 7.Kf7 Kh5 8.Rg6 Kh4 9.Kg7 Kh3 10.Rh6+
+- (#13) Depth: 16/36 00:01:44 339mN
(, 14.08.2009)