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Subject: Re: Very easy mate to solve: "US" result by Chest

Author: Heiner Marxen

Date: 03:46:34 08/18/01

Go up one level in this thread


On August 13, 2001 at 15:17:48, leonid wrote:

>On August 13, 2001 at 11:53:23, leonid wrote:
>
>>Hi!
>>
>>This position is easy:
>>
>>B2N1qr1/B2Qb2q/Q2Rq3/Q2Q1q2/Q2Q2q1/Q2Q3n/R2Qq2k/1KN2rq1 w - -
>>
>>Actually original position was this that I changed in order of having more
>>accessible one.
>>
>>[D]B2B1qr1/N2Qb2q/Q2Rq3/Q2Q1q2/Q2Q2q1/Q2Q3n/R2Qq2k/1KN2rq1 w - -
>>
>>This last position look like very innocent, since it have initially only 93
>>moves, but take care! When I put it on one professional program, where special
>>mate solving engin was asked to do the work, response was deadly. It reacted on
>>"US" script like true fanatic from the Middle East. Beside committing
>>Selbstmord-Anschlag on the spot it killed my Windows ME as well.
>>
>>Please indicate your result.
>>
>>Thanks,
>>Leonid.

Hello Leonid!

Finally, after more than 78 hours (!) on my K7/600 (350 MB hash) Chest
provides two PVs for two key moves solving this as a mate in 9:

PV: Qxg1+ Qxg1 Qxe2+ Qff2 Qxf2+ Qgxf2 Q7xe6 Rxc1+ Qxc1 Qxd3+ Qaxd3 Qf3 Qxh3+
Kxh3 Qh1+ Qh2 Qxh2#
PV: Rxe6 Rxc1+ Qaxc1 Qxc1+ Qxc1 Qxd3+ Qaxd3 Qxd3+ Qxd3 Qb4+ Q4xb4 Qf3 Rexe2+ Rg2
Rxg2+ Qxg2 Rxg2#

1.Qxg1+ has been given by Gian-Carlo, already, but 1.Rxe6 (no check!) comes
as a surprise.  Also, the behaviour of Chest comes as a surprise to me,
especially the large time necessary for the final depth=9 as compared to the
mere 45 minutes for the depth=8:

 depth   time    EBF[T]              EBF[N]  hash-speed
#  1      0.00s                 0kN           0.87          1-         0
#  2      0.00s                 0kN           1.00          1-         0
#  3      0.03s                 2kN [ 19.55]  0.96         94-         0
#  4      0.49s [ 16.33]       26kN [ 12.46]  1.02       1721-         0
#  5      5.79s [ 11.82]      272kN [ 10.44]  1.14      24491-         0
#  6     39.83s [  6.88]     1741kN [  6.40]  1.40     171448-         0
#  7    254.16s [  6.38]    11262kN [  6.47]  1.70    1091347-         1
#  8   2375.96s [  9.35]   109788kN [  9.75]  1.93    9380661-   1310495
#  9 282572.74s [118.93]  6162420kN [ 56.13]  1.76  889707645- 880959744
                          ^^^^^^^ (this one is too small)
The last node count is the sum of several 32 bit counters, some of which
did overflow/wrap.  Therefore the sum is too small, and the EBF by nodes
is also too small for depth=9.

But the times are accurate, and EBF=119 for the last depth is clearly much
larger than wanted.

The refutation table of Chest:
refu  1: Q5e5+   Qfxe5   [  8-]
refu  2: Qg2+    Q4xg2   [  8-]
refu  3: Qh1+    Qxh1    [  8-]
refu  4: Q4f4+   Rxf4    [  8-]
refu  5: Q4e5+   Qexe5   [  8-]
refu  6: Qf2+    Qfxf2   [  8-]
refu  7: Qxg1+   Qxg1    [  7-]
solu          1: Qxg1    [  8+]
solu          2: Rxg1    [  8+]
solu          3: Kxg1    [  3+]
solu          4: Nxg1    [  1+]
refu  8: Qxe2+   Qgxe2   [  8-]
refu  9: Q2f4+   Qfxf4   [  8-]
refu 10: Nb5     Qxd3+   [  8-]
refu 11: Nc8     Qxd3+   [  8-]
refu 12: Nc6     Qxd3+   [  8-]
refu 13: Bc7     Qb8+    [  8-]
refu 14: Bb6     Qxd3+   [  8-]
refu 15: Bxe7    Qb8+    [  8-]
refu 16: Bb7     Qxd3+   [  8-]
refu 17: Bc6     Qxd3+   [  8-]
refu 18: Rxe6    Qxd3+   [  7-]
solu          5: Qxd3+   [  8+]
solu          6: Rxc1+   [  8+]
solu          7: Q4xd4   [  7+]
solu          8: Qxd2    [  8+]
solu          9: Q1xd4   [  8+]
solu         10: Qge4    [  8+]
solu         11: Qe3     [  8+]
solu         12: Qxd8    [  6+]
solu         13: Qgf3    [  7+]
solu         14: Q1g3    [  8+]
solu         15: Q4g3    [  7+]
solu         16: Qgf4    [  5+]
solu         17: Qxd5    [  8+]
solu         18: Qxe6    [  7+]
solu         19: Bxa3    [  7+]
solu         20: Bxd8    [  7+]
solu         21: Bf6     [  6+]
solu         22: Re1     [  7+]
solu         23: Rd1     [  7+]
solu         24: Rf2     [  8+]
solu         25: Bh4     [  8+]
solu         26: Qhf7    [  6+]
solu         27: Qhh5    [  7+]
solu         28: Qhh4    [  8+]
solu         29: Qgh4    [  7+]
solu         30: Qgh5    [  7+]
solu         31: Qfh5    [  7+]
solu         32: Q5f7    [  7+]
solu         33: Q8f7    [  7+]
solu         34: Nf4     [  7+]
solu         35: Nf2     [  7+]
solu         36: Ng5     [  6+]
solu         37: Bd6     [  7+]
solu         38: Bc5     [  7+]
solu         39: Bb4     [  7+]
solu         40: Bg5     [  7+]
solu         41: Qhg7    [  7+]
solu         42: Qh8     [  7+]
solu         43: Qhg6    [  7+]
solu         44: Qh1     [  7+]
solu         45: Q1g2    [  8+]
solu         46: Qgf2    [  8+]
solu         47: Qgg6    [  6+]
solu         48: Qgg7    [  6+]
solu         49: Q4g2    [  8+]
solu         50: Qe5     [  7+]
solu         51: Q5f6    [  7+]
solu         52: Qff2    [  8+]
solu         53: Qfg6    [  7+]
solu         54: Qfe4    [  8+]
solu         55: Q8f6    [  7+]
solu         56: Qfg7    [  7+]
solu         57: Qef2    [  8+]
solu         58: Qeg2    [  8+]
solu         59: Rh8     [  7+]
solu         60: Rg7     [  7+]
solu         61: Rg6     [  7+]
solu         62: Rg5     [  7+]
solu         63: Rf3     [  7+]
solu         64: Rf4     [  6+]
solu         65: Qhh6    [  7+]
solu         66: Qgg5    [  6+]
solu         67: Qfg5    [  7+]
solu         68: Qff4    [  7+]
solu         69: Qff3    [  8+]
solu         70: Qe8     [  6+]
solu         71: Qfh6    [  7+]
refu 19: Rc6     Qxd3+   [  8-]
refu 20: Rb6     Qxb6+   [  8-]
refu 21: Rb2     Q4xd4   [  8-]
refu 22: Rc2     Q4xd4   [  8-]
refu 23: Ra1     Qxd3+   [  8-]
refu 24: Qxe7    Qxd3+   [  8-]
refu 25: Qdc7    Qxd3+   [  8-]
refu 26: Q7b7    Qxd3+   [  8-]
refu 27: Qe8     Qxd3+   [  8-]
refu 28: Q7c6    Qxd3+   [  8-]
refu 29: Q7b5    Qxd3+   [  8-]
refu 30: Q7xe6   Rf2     [  8-]
solu         72: Qxd3+   [  8+]
solu         73: Rxc1+   [  8+]
solu         74: Q4xd4   [  8+]
solu         75: Qxd2    [  8+]
solu         76: Q1xd4   [  8+]
solu         77: Qge4    [  8+]
solu         78: Qe3     [  8+]
solu         79: Qxd8    [  7+]
solu         80: Qgf3    [  8+]
solu         81: Qe8     [  7+]
solu         82: Q1g3    [  8+]
solu         83: Q4g3    [  8+]
solu         84: Qxe6    [  8+]
solu         85: Qxd5    [  8+]
solu         86: Bxd6    [  7+]
solu         87: Bxd8    [  7+]
solu         88: Bf6     [  7+]
solu         89: Re1     [  7+]
solu         90: Rd1     [  7+]
refu 31: Qdc8    Qxd3+   [  8-]
refu 32: Q5xf5   Qxa2+   [  8-]
refu 33: Qd5c5   Qxa2+   [  8-]
refu 34: Qd5b5   Qxb5+   [  8-]
refu 35: Q5xe6   Q4xd4   [  8-]
solu         91: Qb5+    [  8+]
solu         92: Qxd3+   [  8+]
solu         93: Rxc1+   [  8+]
refu 36: Q5c4    Qb5+    [  8-]
refu 37: Qdb3    Qxb3+   [  8-]
refu 38: Q5e4    Qb5+    [  8-]
refu 39: Qf3     Qb5+    [  8-]
refu 40: Q5c6    Qb5+    [  8-]
refu 41: Q5b7    Qb5+    [  8-]
refu 42: Q4e4    Qb6+    [  8-]
refu 43: Qxg4    Qxd3+   [  8-]
refu 44: Qd4c4   Qxd3+   [  8-]
refu 45: Qd4b4   Qxb4+   [  8-]
refu 46: Qf6     Qb4+    [  8-]
refu 47: Qg7     Qb4+    [  8-]
refu 48: Qh8     Qb4+    [  8-]
refu 49: Q4c3    Qb4+    [  8-]
refu 50: Q4b2    Qxd3+   [  8-]
refu 51: Qa1     Qb4+    [  8-]
refu 52: Q4e3    Qb4+    [  8-]
refu 53: Q4c5    Qb4+    [  8-]
refu 54: Qdb6    Qb4+    [  8-]
refu 55: Q3e4    Qgxe4+  [  8-]
refu 56: Q3xf5   Qhxf5+  [  8-]
refu 57: Q3c2    Rxc1+   [  8-]
refu 58: Q2c2    Rxc1+   [  8-]
refu 59: Q2b2    Qxd3+   [  8-]
refu 60: Qdd1    Qxd3+   [  8-]
refu 61: Q2e3    Qxd3+   [  8-]
refu 62: Qg5     Qxd3+   [  8-]
refu 63: Qh6     Qxd3+   [  8-]
refu 64: Qe1     Qxd3+   [  8-]
refu 65: Q2c3    Qxd3+   [  8-]
refu 66: Q2b4    Qxd3+   [  8-]
refu 67: Q6b6    Qxd3+   [  8-]
refu 68: Q6c6    Qxd3+   [  8-]
refu 69: Qab7    Qxd3+   [  8-]
refu 70: Qac8    Qxd3+   [  8-]
refu 71: Q6b5    Qxd3+   [  8-]
refu 72: Q6c4    Qxd3+   [  8-]
refu 73: Qa5b5   Qxd3+   [  8-]
refu 74: Qa5c5   Qxd3+   [  8-]
refu 75: Q5b6    Qxd3+   [  8-]
refu 76: Qac7    Qxd3+   [  8-]
refu 77: Q5b4    Qxd3+   [  8-]
refu 78: Q5c3    Qxd3+   [  8-]
refu 79: Qa4b4   Qxd3+   [  8-]
refu 80: Qa4c4   Qxd3+   [  8-]
refu 81: Q4b5    Qxd3+   [  8-]
refu 82: Q4c6    Qxd3+   [  8-]
refu 83: Q4b3    Qxd3+   [  8-]
refu 84: Qac2    Q4xd4   [  8-]
refu 85: Qad1    Q4xd4   [  8-]
refu 86: Q3b3    Qxd3+   [  8-]
refu 87: Q3c3    Qxd3+   [  8-]
refu 88: Q3b4    Qxd3+   [  8-]
refu 89: Q3c5    Qxd3+   [  8-]
refu 90: Qab2    Qxd3+   [  8-]
refu 91: Ka1     Q1xd4+  [  8-]
refu 92: Kb2     Q1xd4+  [  8-]
refu 93: Kc2     Qxd3+   [  8-]

Unfortunately, the above entries do not show the individual amount of
computation done for them, so we do not see much, what would explain
the EBF=119.  (yet another detail to add to Chest)

Otherwise, the statistics from Chest do not provide surprises or clues.
I will have to study some parts of its search tree to understand what went
wrong in depth=9.  This "US" has become an important test-case for Chest.

Playing the PV for the quiet solution move until after white's 6th move:
1.Rxe6 Rxc1+ 2.Qaxc1 Qxc1+ 3.Qxc1 Qxd3+ 4.Qaxd3 Qxd3+ 5.Qxd3 Qb4+ 6.Q4xb4
[D]B2B1qr1/N2Qb3/4R3/Q2Q4/1Q6/3Q3n/R3q2k/1KQ5 b - -
shows the hopeless situation for black quite drastically.
Black has sacrificed one of its pieces in every move, in order to say check,
but now checks by black do not prolong the mate any more.

I also instructed Chest to print the top 7 plies of the solution tree...
that part is not yet ready (after 98 hours total time)  :-(

Have a nice day!
Heiner



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