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Problem Display

PID: 151809 (8/8/5KR1/Qn3n1k/5R2/8/8/8 w - - 0 1)

Lincoln, Robert A

StrateGems, 2011

8/8/5KR1/Qn3n1k/5R2/8/8/8

#2

4 + 3

56	The Problemist	2013

SOLUTION

SOUND
Sets
- 1...Sa3
  - 2.Qxf5#
- 1...Sc3
  - 2.Qxf5#
- 1...Sa7
  - 2.Qxf5#
- 1...Sc7
  - 2.Qxf5#
- 1...Sh6
  - 2.Rg5#
Tries
- 1.Rf2?
  - 1...Kh4
    - 2.Rh2#
  - 1...Sa3
    - 2.Rh2#
  - 1...Sc3
    - 2.Rh2#
  - 1...Sbd4
    - 2.Rh2#
  - 1...Sbd6
    - 2.Rh2#
  - 1...Sa7
    - 2.Rh2#
  - 1...Sc7
    - 2.Rh2#
  - 1...Se3
    - 2.Rh2#
  - 1...Sg3
    - 2.Rh2#
  - 1...Sfd4
    - 2.Rh2#
  - 1...Sfd6
    - 2.Rh2#
  - 1...Sh6
    - 2.Rh2#
  - 1...Se7
    - 2.Rh2#
  - 1...Sg7
    - 2.Rh2#
  - 1...Sh4!
- 1.Rgg4?
  - 1...Sh4
    - 2.Rxh4#
  - 1...Sa3
    - 2.Rh4#
  - 1...Sc3
    - 2.Rh4#
  - 1...Sbd4
    - 2.Rh4#
  - 1...Sbd6
    - 2.Rh4#
  - 1...Sa7
    - 2.Rh4#
  - 1...Sc7
    - 2.Rh4#
  - 1...Se3
    - 2.Rh4#
  - 1...Sg3
    - 2.Rh4#
  - 1...Sfd4
    - 2.Rh4#
  - 1...Sfd6
    - 2.Rh4#
  - 1...Sh6
    - 2.Rh4#
    - 2.Rg5#
  - 1...Se7
    - 2.Rh4#
  - 1...Sg7
    - 2.Rh4#
  - 1...Kh6!
- 1.Qa8?
  - threat
    - 2.Qf3#
  - 1...Sh4
    - 2.Qh8#
  - 1...Se3
    - 2.Qh1#
    - 2.Qh8#
  - 1...Sfd4
    - 2.Qh1#
    - 2.Qh8#
  - 1...Sh6
    - 2.Rg5#
    - 2.Qh1#
  - 1...Sbd4!
Keys
- 1.Rg8!
  - 1...Kh6
    - 2.Rh8#
  - 1...Sh4
    - 2.Rh8#
  - 1...Sa3
    - 2.Rh8#
  - 1...Sc3
    - 2.Rh8#
  - 1...Sbd4
    - 2.Rh8#
  - 1...Sbd6
    - 2.Rh8#
  - 1...Sa7
    - 2.Rh8#
  - 1...Sc7
    - 2.Rh8#
  - 1...Se3
    - 2.Rh8#
  - 1...Sg3
    - 2.Rh8#
  - 1...Sfd4
    - 2.Rh8#
  - 1...Sfd6
    - 2.Rh8#
  - 1...Sh6
    - 2.Rg5#
  - 1...Se7
    - 2.Rh8#
  - 1...Sg7
    - 2.Rh8#

FEATURES

Static
- TYPE = INCOMPLETE_BLOCK
- CHANGED MATES = 4
- ADDED MATES = 10
- REMOVED MATES = 0
Sets
- S(a);OGATE,P_SPINS(b)::QAR2(B),XS(b)
- S(a);OGATE,P_SPINS(b),SBLOCK::QAR2(B),XS(b)
- S(b);P_SPINS(a),SBLOCK::R1(D)
Tries
- Try
  - R(A);
  - Vars
    - K(c);P-FLIGHT::R(A)
    - S(a);P_SPINS(b)::R(A)
    - S(b);N_GUARD,P_SPINS(a)::R(A)
  - Refutation
    - S(b);P_SPINS(a)
- Try
  - R(D);
  - Vars
    - S(b);N_GUARD,P_SPINS(a)::R1(D),XS(b)
    - S(a);P_SPINS(b)::R1(D)
    - S(b);N_GUARD,P_SPINS(a)::R1(D)
  - Refutation
    - K(c);P-FLIGHT
- Try
  - Q(B);
  - Threat
    - QAB(B)
  - Vars
    - S(b);N_GUARD::QAR(B)
  - Refutation
    - S(a);
Actual
- R(D);
- Vars
  - K(c);P-FLIGHT::R(D)
  - S(b);N_GUARD,P_SPINS(a)::R(D)
  - S(a);P_SPINS(b)::R(D)
  - S(b);P_SPINS(a),SBLOCK::R1(D)

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