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Subject: Re: Mate in 15

Author: Tord Romstad

Date: 02:04:36 04/22/04

Go up one level in this thread


On April 21, 2004 at 22:23:53, Tom Likens wrote:

>> 7    >=   #41     0.73     110603 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
>>                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
>>                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
>> 7         #15     1.06     172533 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
>>                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
>>                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+ Kf8 Qe7+
>>                                   Kg8 Qxg7#
>>
>>Tord
>>
>
>Hey Tord,
>
>I've been curious about this in the past.  When Gothmog announces a mate in
>at most 41, does it actually see the mate (20+ moves!!).  And if not, what
>is it using to bound the mate?

Hi Tom,

Believe it or not:  I have no clear idea why this happens.  Perhaps it is
a result of a bug somewhere, but I haven't yet bothered to study the problem
very closely, because it apparently is not very critical.

At least I am 100% sure that Gothmog does not see any 41-move variation which
ends in a mate.  The maximum search depth is only 60 plies.

FWIW, here is the detailed search output for Gothmog in this position.
A '>=' before a score means that the score is a lower bound, while '<='
means an upper bound.  As you can see, the score climbs from mate in 41
to mate in 15 very quickly (less than 2000 nodes).

 1        1.62     0.00         94 Rf8+ Kh7 Qg8+
 2        2.16     0.00        425 Rf8+ Kh7 Qg8+ Kg6 Rf2
 3        0.00     0.07       7618 Rf8+ Kh7 Qg8+ Kg6 Qe6+ Kh7
 4        0.00     0.12      12331 Rf8+ Kh7 Qg8+ Kg6 Qe6+ Kh7
 5        0.00     0.24      27645 Rf8+ Kh7 Qg8+ Kg6 Qe6+ Kh7
 6    >=  0.00     0.24      27656 Rf8+ Kh7 Qg8+ Kg6 Qe6+ Kh7
 6    >=  0.03     0.47      63834 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8
 6    >=  0.19     0.48      63883 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8
 6    <=  0.44     0.58      80306 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8
 6    <=  0.41     0.59      80682 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8
 6    <=  0.31     0.61      81238 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8
 6    <=  0.19     0.62      82200 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8
 6        0.19     0.64      82200 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8
 7    >=  0.19     0.65      82293 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8 Qg8+
 7    >=  0.22     0.66      82365 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8 Qg8+
 7    >=  0.59     0.66      82430 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Ba3+ Kd8 Qg8+
 7    >=  1.09     0.66      83052 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=  1.62     0.66      83419 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=  2.44     0.67      84318 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=  3.44     0.77     100635 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=  4.44     0.79     103186 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=  5.84     0.81     103882 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=  7.12     0.82     103995 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=  8.16     0.83     104286 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=  9.22     0.85     104376 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >= 10.75     0.86     104620 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >= 11.75     0.87     105201 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >= 12.75     0.90     109251 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >= 13.75     0.92     110005 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >= 14.88     0.92     110548 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #41     0.94     110603 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #39     0.94     110634 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #36     0.94     110680 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #35     0.94     110731 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #32     0.94     110763 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #31     0.94     110799 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #28     0.94     110854 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #27     0.94     110925 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #26     0.94     111081 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #25     0.96     111259 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #24     0.96     111461 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #23     0.96     111705 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #22     0.96     111955 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #21     0.97     112213 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #20     0.97     112485 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #19     0.97     112777 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #18     0.97     113099 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #17     0.97     113468 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #16     0.98     113891 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    >=   #15     0.98     114327 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+
 7    <=   #15     1.27     172533 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+ Kf8 Qe7+
                                   Kg8 Qxg7#
 7         #15     1.28     172533 Rf8+ Kh7 Qg8+ Kg6 Rf6+ Kxf6 Qf8+ Ke6 Qe8+
                                   Kd6 Bxe5+ Kc5 Bd4+ Kd6 Qd8+ Ke6 Qd5+ Ke7
                                   Bc5+ Ke8 Qe6+ Kd8 Be7+ Ke8 Bf6+ Kf8 Qe7+
                                   Kg8 Qxg7#

Tord



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