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Subject: Re: Some difficult problems from BWTC

Author: Dann Corbit

Date: 01:12:07 12/09/03

Go up one level in this thread


On December 08, 2003 at 18:30:57, Steven Edwards wrote:

>I've been testing Symbolic's low level search on the BWTC test suite. Althouh
>the program can solve almost all of the 1,001 positions in a few seconds or less
>each, there are a few holdouts.
>
>Specifically:
>
>(BWTC.0057 BWTC.0134 BWTC.0317 BWTC.0544 BWTC.0548 BWTC.0570 BWTC.0624
>BWTC.0640)
>
>resist solution even after up to 600 seconds wall time each on an 800 MHz PPC
>G4.
>
>Here are the first two missed problems.  Note that in both cases the key move
>was selected, but then rejected for  a better scoring move.  Can these be
>considered valid best move results?
>
>[D]2k4r/1pp1q1p1/2n1b3/1Q3p1p/2Pr2n1/6P1/3NPPBP/R4RK1 w - -
>
>(BWTC.0057: Qxb7+)
>
>[SI] [01] (1. Bxc6 bxc6)  Score: -3.330
>[SI] [01] (1. Nb1)  Score: -3.250
>[SI] [02] (1. Bxc6 bxc6)  Score: -3.330
>[SI] [02] (1. Ra2 Nb8)  Score: -3.250
>[SI] [02] (1. Ra8+)  Score: -2.250
>[SI] [02] (1. Ra8+ Kd7 2. Rxh8 Rxd2 3. Qxb7 Rxe2 4. Rxh5 Bxc4 5. Rxf5)  Score:
>-0.500
>[SI] [03] (1. Ra8+ Kd7 2. Rxh8 Rxd2 3. Qxb7 Rxe2 4. Rxh5 Bxc4 5. Rxf5)  Score:
>-0.500
>[SI] [04] (1. Ra8+ Kd7 2. Rxh8 Rxd2 3. h3 Rxe2 4. hxg4 hxg4 5. Qxb7 Bxc4)
>Score: -0.250
>[SI] [05] (1. Ra8+ Kd7 2. Rxh8 Rxd2 3. Qxb7 Rxe2 4. Rxh5 Bxc4 5. Rxf5)  Score:
>-0.500
>[SI] [06] (1. Ra8+ Kd7 2. Rxh8 Rxd2 3. Qxb7 Nge5 4. Rxh5 Rxe2)  Score: -0.500
>[SI] [07] (1. Ra8+ Kd7 2. Rxh8 Rxd2 3. Qxb7 Nge5 4. Rxh5 Rxe2)  Score: -0.500
>[SI] [07] (1. Nb3)  Score: +0.500
>[SI] [07] (1. Nb3 Kd8 2. Bxc6 Rd6 3. Bxb7)  Score: +1.000
>[SI] [08] (1. Nb3 Re4 2. Nc5 Qxc5 3. Qxc5 Rxc4 4. Qa3 Kd7)  Score: +1.500
>[SI] [09] (1. Nb3)  Score: +2.500
>[SI] [09] (1. Nb3 Re4 2. Nc5 Qxc5 3. Qxc5 Rxc4 4. Ra8+ Nb8 5. Qe7 Bd7 6. Qxg7)
>Score: +2.500
>[SI] [09] (1. Qxb7+ Kxb7 2. Rfb1+ Kc8 3. Bxc6 Qa3 4. Rxa3 Kd8 5. Rb8+ Ke7 6.
>Rxh8 Rxd2 7. Rxh5 Rxe2)  Score: +2.750
>[SI] [10] (1. Qxb7+ Kxb7 2. Rfb1+ Qb4 3. Rxb4+ Kc8 4. Bxc6 Kd8 5. Rb8+ Ke7 6.
>Rxh8 Rxd2 7. Rxh5 Rxe2)  Score: +2.750
>[SI] [10] (1. Nb3 Nge5 2. Nxd4 Bxc4 3. Nxc6 bxc6 4. Ra8+ Kd7 5. Bxc6+ Kd6 6.
>Qb4+ Ke6 7. Qxe7+ Kxe7 8. Rxh8 Nxc6 9. Rxh5 Bxe2 10. Rxf5 Bxf1 11. Kxf1)  Score:
>+2.912
>[SI] [11] (1. Nb3 Kd8 2. Ra8+ Bc8 3. Qxb7 Qe6 4. Nc5 Ke7 5. Qxc7+ Rd7 6. Nxe6
>Rxc7 7. Nxc7)  Score: +3.750
>[SI] [11] (1. Bxc6)  Score: +3.912
>[SI] [11] (1. Bxc6 bxc6 2. Qxc6 Kd8 3. Ra8+ Bc8 4. Rxc8+ Kxc8 5. Ra1 Qa3 6.
>Rxa3)  Score: +5.000
>
>[D]r1bq1r2/ppp2pkp/3p2nn/2bN2NQ/2B1P3/8/PPp3PP/R1B2R1K w - -
>
>(BWTC.0134: Qxh6+)
>
>[SI] [01] (1. Bb3)  Score: -2.000
>[SI] [01] (1. Bf4 Nxf4 2. Rxf4 c1=Q+ 3. Rxc1)  Score: -1.080
>[SI] [02] (1. Bf4 Bb6 2. Nxb6 Nxf4 3. Rxf4 axb6)  Score: -2.000
>[SI] [02] (1. Ne6+ fxe6 2. Bxh6+ Kg8 3. Bxf8 Nxf8)  Score: -0.330
>[SI] [02] (1. Qxh6+)  Score: -0.080
>[SI] [02] (1. Qxh6+ Kxh6 2. Nxf7+ Kh5 3. Nxd8 Rxd8 4. Nxc7)  Score: Even
>[SI] [03] (1. Qxh6+ Kxh6 2. Nxf7+ Kh5 3. Nxd8 Rxd8 4. Nxc7)  Score: Even
>[SI] [03] (1. Rxf7+)  Score: +1.000
>[SI] [03] (1. Rxf7+ Rxf7 2. Qxh6+ Kxh6 3. Nxf7+ Kh5 4. Nxd8)  Score: +2.250
>[SI] [04] (1. Rxf7+ Rxf7 2. Qxh6+ Kxh6 3. Nxf7+ Kh5 4. Nxd8)  Score: +2.250
>[SI] [05] (1. Rxf7+ Rxf7 2. Qxh6+ Kxh6 3. Nxf7+ Kh5 4. Nxd8 c6)  Score: +2.250
>[SI] [06] (1. Rxf7+ Rxf7 2. Qxh6+ Kxh6 3. Nxf7+ Kg7 4. Nxd8 c6 5. Nc7)  Score:
>+2.250
>[SI] [07] (1. Rxf7+ Rxf7 2. Qxh6+ Kxh6 3. Nxf7+ Kg7 4. Nxd8 c6 5. Nc7 Rb8)
>Score: +2.250
>[SI] [07] (1. Qxh6+ Kxh6 2. Nxf7+ Kg7 3. Bh6+ Kg8 4. Nxd8 Rxd8 5. Nxc7+ d5 6.
>Bxd5+ Rxd5 7. exd5)  Score: +2.670
>[SI] [07] (1. Nxh7 Ng4 2. Nxf8 Kxf8 3. Rxf7+ Kxf7 4. Nxc7+ Ke7 5. Nxa8)  Score:
>+2.750
>[SI] [08] (1. Nxh7 Ng4 2. Nxf8 Kxf8 3. Qxg6 Nf2+ 4. Rxf2 Bxf2 5. Bg5 fxg6 6.
>Bxd8 c1=Q+ 7. Rxc1)  Score: +3.250
>[SI] [08] (1. Qxh6+ Kxh6 2. Nxf7+ Kg7 3. Bh6+ Kg8 4. Nxd8 Rxd8 5. Nxc7+ d5 6.
>Bxd5+ Rxd5 7. exd5 c1=Q 8. Raxc1)  Score: +3.670
>[SI] [09] (1. Qxh6+ Kxh6 2. Ne6+ Nf4 3. Nxd8 Rxd8 4. Bxf4+ Kh5 5. Nxc7 Rb8)
>Score: +3.250
>[SI] [09] (1. Nxh7 Ng4 2. Nxf8 Kxf8 3. Qxg6 Ne5 4. Bh6+ Ke8 5. Qg8+ Kd7 6. Qxd8+
>Kxd8)  Score: +4.000
>[SI] [10] (1. Nxh7 Ng4 2. Ng5 Nh6 3. Nh7)  Score: +4.000

It took Chest 241 seconds on AMD 950 MHz to confirm that there are exactly two
best solutions (direct mate in 9) for that problem.

1k1r4/1bp2p2/1p6/2r1PB1p/PQ4pP/6B1/5PP1/6K1 b - - acn 22816802; acs 241; bm Rc1+
Rd1+; ce 32750; dm 9; pv Rd1+ Kh2 Rcc1 Qf8+ Ka7 Qb8+ Kxb8 Bf4 Rh1+ Kg3 Rh3+ gxh3
Rg1+ Kh2 Rh1+ Kg3 Rxh3#;



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