Analysis of xx-ph-00028082-2011_12-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7.....6...9.7....7..5...4......3..6...4..2..98..6...3..2..1...65..8.......1... initial

Autosolve

position: 98.7.....6...9.7....7..5...4......3..6...4..2..98..6...3..2..1...65..8.......1... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000010

List of important HDP chains detected for F2,F7: 8..:

* DIS # F7: 8 # I7: 4,5 => CTR => I7: 6,7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED

List of important HDP chains detected for E3,E9: 8..:

* DIS # E3: 8 # I7: 4,5 => CTR => I7: 6,7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED

List of important HDP chains detected for F7,E9: 8..:

* DIS # F7: 8 # I7: 4,5 => CTR => I7: 6,7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED

List of important HDP chains detected for F2,E3: 8..:

* DIS # E3: 8 # I7: 4,5 => CTR => I7: 6,7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED

List of important HDP chains detected for C4,I4: 8..:

* DIS # C4: 8 # C2: 4,5 => CTR => C2: 1,2,3
* CNT   1 HDP CHAINS /  22 HYP OPENED

List of important HDP chains detected for I4,H5: 8..:

* DIS # H5: 8 # C2: 4,5 => CTR => C2: 1,2,3
* CNT   1 HDP CHAINS /  22 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:46.717133

List of important HDP chains detected for F2,F7: 8..:

* DIS # F7: 8 # I7: 4,5 => CTR => I7: 6,7,9
* DIS # F7: 8 + I7: 6,7,9 # F1: 2,3 # C1: 2,3 => CTR => C1: 1,4
* DIS # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 # A3: 1 => CTR => A3: 2,3
* PRF # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 + A3: 2,3 # G1: 2,3 => SOL
* STA # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 + A3: 2,3 + G1: 2,3
* CNT   4 HDP CHAINS /  51 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

98.7.....6...9.7....7..5...4......3..6...4..2..98..6...3..2..1...65..8.......1... initial
98.7.....6...9.7....7..5...4......3..6...4..2..98..6...3..2..1...65..8.......1... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 1.. / A8 = 1  =>  1 pairs (_) / B8 = 1  =>  2 pairs (_)
H6,I6: 4.. / H6 = 4  =>  0 pairs (_) / I6 = 4  =>  1 pairs (_)
F2,E3: 8.. / F2 = 8  =>  0 pairs (_) / E3 = 8  =>  3 pairs (_)
I4,H5: 8.. / I4 = 8  =>  0 pairs (_) / H5 = 8  =>  1 pairs (_)
F7,E9: 8.. / F7 = 8  =>  3 pairs (_) / E9 = 8  =>  0 pairs (_)
C4,I4: 8.. / C4 = 8  =>  1 pairs (_) / I4 = 8  =>  0 pairs (_)
E3,E9: 8.. / E3 = 8  =>  3 pairs (_) / E9 = 8  =>  0 pairs (_)
F2,F7: 8.. / F2 = 8  =>  0 pairs (_) / F7 = 8  =>  3 pairs (_)
B8,B9: 9.. / B8 = 9  =>  2 pairs (_) / B9 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.856933  START: 06:01:18.970928  END: 06:01:25.827861 2020-10-20
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F2,F7: 8.. / F2 = 8 ==>  0 pairs (_) / F7 = 8 ==>  3 pairs (_)
E3,E9: 8.. / E3 = 8 ==>  3 pairs (_) / E9 = 8 ==>  0 pairs (_)
F7,E9: 8.. / F7 = 8 ==>  3 pairs (_) / E9 = 8 ==>  0 pairs (_)
F2,E3: 8.. / F2 = 8 ==>  0 pairs (_) / E3 = 8 ==>  3 pairs (_)
A8,B8: 1.. / A8 = 1 ==>  1 pairs (_) / B8 = 1 ==>  2 pairs (_)
B8,B9: 9.. / B8 = 9 ==>  2 pairs (_) / B9 = 9 ==>  0 pairs (_)
C4,I4: 8.. / C4 = 8 ==>  1 pairs (_) / I4 = 8 ==>  0 pairs (_)
I4,H5: 8.. / I4 = 8 ==>  0 pairs (_) / H5 = 8 ==>  1 pairs (_)
H6,I6: 4.. / H6 = 4 ==>  0 pairs (_) / I6 = 4 ==>  1 pairs (_)
* DURATION: 0:02:29.851588  START: 06:01:25.828766  END: 06:03:55.680354 2020-10-20
* REASONING F2,F7: 8..
* DIS # F7: 8 # I7: 4,5 => CTR => I7: 6,7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED
* REASONING E3,E9: 8..
* DIS # E3: 8 # I7: 4,5 => CTR => I7: 6,7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED
* REASONING F7,E9: 8..
* DIS # F7: 8 # I7: 4,5 => CTR => I7: 6,7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED
* REASONING F2,E3: 8..
* DIS # E3: 8 # I7: 4,5 => CTR => I7: 6,7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED
* REASONING C4,I4: 8..
* DIS # C4: 8 # C2: 4,5 => CTR => C2: 1,2,3
* CNT   1 HDP CHAINS /  22 HYP OPENED
* REASONING I4,H5: 8..
* DIS # H5: 8 # C2: 4,5 => CTR => C2: 1,2,3
* CNT   1 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
F2,F7: 8.. / F2 = 8  =>  0 pairs (X) / F7 = 8 ==>  0 pairs (*)
* DURATION: 0:00:46.715588  START: 06:03:55.856234  END: 06:04:42.571822 2020-10-20
* REASONING F2,F7: 8..
* DIS # F7: 8 # I7: 4,5 => CTR => I7: 6,7,9
* DIS # F7: 8 + I7: 6,7,9 # F1: 2,3 # C1: 2,3 => CTR => C1: 1,4
* DIS # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 # A3: 1 => CTR => A3: 2,3
* PRF # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 + A3: 2,3 # G1: 2,3 => SOL
* STA # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 + A3: 2,3 + G1: 2,3
* CNT   4 HDP CHAINS /  51 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

28082;2011_12;GP;23;11.40;11.40;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F7: 8..:

* INC # F7: 8 # F1: 2,3 => UNS
* INC # F7: 8 # D2: 2,3 => UNS
* INC # F7: 8 # D3: 2,3 => UNS
* INC # F7: 8 # C2: 2,3 => UNS
* INC # F7: 8 # C2: 1,4,5 => UNS
* INC # F7: 8 # F6: 2,3 => UNS
* INC # F7: 8 # F6: 7 => UNS
* INC # F7: 8 # A9: 5,7 => UNS
* INC # F7: 8 # B9: 5,7 => UNS
* INC # F7: 8 # I7: 5,7 => UNS
* INC # F7: 8 # I7: 4,6,9 => UNS
* INC # F7: 8 # A5: 5,7 => UNS
* INC # F7: 8 # A6: 5,7 => UNS
* INC # F7: 8 # B9: 4,5 => UNS
* INC # F7: 8 # C9: 4,5 => UNS
* INC # F7: 8 # G7: 4,5 => UNS
* DIS # F7: 8 # I7: 4,5 => CTR => I7: 6,7,9
* INC # F7: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # F7: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # F7: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # F1: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # D2: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # D3: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 1,4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # F6: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # F6: 7 => UNS
* INC # F7: 8 + I7: 6,7,9 # A9: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # B9: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # A5: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # A6: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # F7: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 => UNS
* INC # F2: 8 => UNS
* CNT  46 HDP CHAINS /  46 HYP OPENED

Full list of HDP chains traversed for E3,E9: 8..:

* INC # E3: 8 # F1: 2,3 => UNS
* INC # E3: 8 # D2: 2,3 => UNS
* INC # E3: 8 # D3: 2,3 => UNS
* INC # E3: 8 # C2: 2,3 => UNS
* INC # E3: 8 # C2: 1,4,5 => UNS
* INC # E3: 8 # F6: 2,3 => UNS
* INC # E3: 8 # F6: 7 => UNS
* INC # E3: 8 # A9: 5,7 => UNS
* INC # E3: 8 # B9: 5,7 => UNS
* INC # E3: 8 # I7: 5,7 => UNS
* INC # E3: 8 # I7: 4,6,9 => UNS
* INC # E3: 8 # A5: 5,7 => UNS
* INC # E3: 8 # A6: 5,7 => UNS
* INC # E3: 8 # B9: 4,5 => UNS
* INC # E3: 8 # C9: 4,5 => UNS
* INC # E3: 8 # G7: 4,5 => UNS
* DIS # E3: 8 # I7: 4,5 => CTR => I7: 6,7,9
* INC # E3: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # E3: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # E3: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # F1: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # D2: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # D3: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 1,4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # F6: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # F6: 7 => UNS
* INC # E3: 8 + I7: 6,7,9 # A9: 5,7 => UNS
* INC # E3: 8 + I7: 6,7,9 # B9: 5,7 => UNS
* INC # E3: 8 + I7: 6,7,9 # A5: 5,7 => UNS
* INC # E3: 8 + I7: 6,7,9 # A6: 5,7 => UNS
* INC # E3: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # E3: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 => UNS
* INC # E9: 8 => UNS
* CNT  46 HDP CHAINS /  46 HYP OPENED

Full list of HDP chains traversed for F7,E9: 8..:

* INC # F7: 8 # F1: 2,3 => UNS
* INC # F7: 8 # D2: 2,3 => UNS
* INC # F7: 8 # D3: 2,3 => UNS
* INC # F7: 8 # C2: 2,3 => UNS
* INC # F7: 8 # C2: 1,4,5 => UNS
* INC # F7: 8 # F6: 2,3 => UNS
* INC # F7: 8 # F6: 7 => UNS
* INC # F7: 8 # A9: 5,7 => UNS
* INC # F7: 8 # B9: 5,7 => UNS
* INC # F7: 8 # I7: 5,7 => UNS
* INC # F7: 8 # I7: 4,6,9 => UNS
* INC # F7: 8 # A5: 5,7 => UNS
* INC # F7: 8 # A6: 5,7 => UNS
* INC # F7: 8 # B9: 4,5 => UNS
* INC # F7: 8 # C9: 4,5 => UNS
* INC # F7: 8 # G7: 4,5 => UNS
* DIS # F7: 8 # I7: 4,5 => CTR => I7: 6,7,9
* INC # F7: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # F7: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # F7: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # F1: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # D2: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # D3: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 1,4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # F6: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # F6: 7 => UNS
* INC # F7: 8 + I7: 6,7,9 # A9: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # B9: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # A5: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # A6: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # F7: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 => UNS
* INC # E9: 8 => UNS
* CNT  46 HDP CHAINS /  46 HYP OPENED

Full list of HDP chains traversed for F2,E3: 8..:

* INC # E3: 8 # F1: 2,3 => UNS
* INC # E3: 8 # D2: 2,3 => UNS
* INC # E3: 8 # D3: 2,3 => UNS
* INC # E3: 8 # C2: 2,3 => UNS
* INC # E3: 8 # C2: 1,4,5 => UNS
* INC # E3: 8 # F6: 2,3 => UNS
* INC # E3: 8 # F6: 7 => UNS
* INC # E3: 8 # A9: 5,7 => UNS
* INC # E3: 8 # B9: 5,7 => UNS
* INC # E3: 8 # I7: 5,7 => UNS
* INC # E3: 8 # I7: 4,6,9 => UNS
* INC # E3: 8 # A5: 5,7 => UNS
* INC # E3: 8 # A6: 5,7 => UNS
* INC # E3: 8 # B9: 4,5 => UNS
* INC # E3: 8 # C9: 4,5 => UNS
* INC # E3: 8 # G7: 4,5 => UNS
* DIS # E3: 8 # I7: 4,5 => CTR => I7: 6,7,9
* INC # E3: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # E3: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # E3: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # F1: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # D2: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # D3: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 1,4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # F6: 2,3 => UNS
* INC # E3: 8 + I7: 6,7,9 # F6: 7 => UNS
* INC # E3: 8 + I7: 6,7,9 # A9: 5,7 => UNS
* INC # E3: 8 + I7: 6,7,9 # B9: 5,7 => UNS
* INC # E3: 8 + I7: 6,7,9 # A5: 5,7 => UNS
* INC # E3: 8 + I7: 6,7,9 # A6: 5,7 => UNS
* INC # E3: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # E3: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # E3: 8 + I7: 6,7,9 => UNS
* INC # F2: 8 => UNS
* CNT  46 HDP CHAINS /  46 HYP OPENED

Full list of HDP chains traversed for A8,B8: 1..:

* INC # B8: 1 # B2: 2,4 => UNS
* INC # B8: 1 # B2: 5 => UNS
* INC # B8: 1 # D3: 2,4 => UNS
* INC # B8: 1 # G3: 2,4 => UNS
* INC # B8: 1 # H3: 2,4 => UNS
* INC # B8: 1 # A9: 2,7 => UNS
* INC # B8: 1 # A9: 5,8 => UNS
* INC # B8: 1 # H8: 2,7 => UNS
* INC # B8: 1 # H8: 4,9 => UNS
* INC # B8: 1 => UNS
* INC # A8: 1 # C1: 2,3 => UNS
* INC # A8: 1 # C2: 2,3 => UNS
* INC # A8: 1 # D3: 2,3 => UNS
* INC # A8: 1 # G3: 2,3 => UNS
* INC # A8: 1 # A6: 2,3 => UNS
* INC # A8: 1 # A6: 5,7 => UNS
* INC # A8: 1 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for B8,B9: 9..:

* INC # B8: 9 # C1: 2,3 => UNS
* INC # B8: 9 # C2: 2,3 => UNS
* INC # B8: 9 # D3: 2,3 => UNS
* INC # B8: 9 # G3: 2,3 => UNS
* INC # B8: 9 # A6: 2,3 => UNS
* INC # B8: 9 # A6: 5,7 => UNS
* INC # B8: 9 # E8: 3,7 => UNS
* INC # B8: 9 # E9: 3,7 => UNS
* INC # B8: 9 # I8: 3,7 => UNS
* INC # B8: 9 # I8: 4 => UNS
* INC # B8: 9 # F6: 3,7 => UNS
* INC # B8: 9 # F6: 2 => UNS
* INC # B8: 9 => UNS
* INC # B9: 9 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for C4,I4: 8..:

* INC # C4: 8 # B9: 4,5 => UNS
* INC # C4: 8 # C9: 4,5 => UNS
* INC # C4: 8 # G7: 4,5 => UNS
* INC # C4: 8 # I7: 4,5 => UNS
* INC # C4: 8 # C1: 4,5 => UNS
* DIS # C4: 8 # C2: 4,5 => CTR => C2: 1,2,3
* INC # C4: 8 + C2: 1,2,3 # C1: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # C1: 1,2,3 => UNS
* INC # C4: 8 + C2: 1,2,3 # B9: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # C9: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # G7: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # I7: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # C1: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # C1: 1,2,3 => UNS
* INC # C4: 8 + C2: 1,2,3 # B9: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # C9: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # G7: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # I7: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # C1: 4,5 => UNS
* INC # C4: 8 + C2: 1,2,3 # C1: 1,2,3 => UNS
* INC # C4: 8 + C2: 1,2,3 => UNS
* INC # I4: 8 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for I4,H5: 8..:

* INC # H5: 8 # B9: 4,5 => UNS
* INC # H5: 8 # C9: 4,5 => UNS
* INC # H5: 8 # G7: 4,5 => UNS
* INC # H5: 8 # I7: 4,5 => UNS
* INC # H5: 8 # C1: 4,5 => UNS
* DIS # H5: 8 # C2: 4,5 => CTR => C2: 1,2,3
* INC # H5: 8 + C2: 1,2,3 # C1: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # C1: 1,2,3 => UNS
* INC # H5: 8 + C2: 1,2,3 # B9: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # C9: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # G7: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # I7: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # C1: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # C1: 1,2,3 => UNS
* INC # H5: 8 + C2: 1,2,3 # B9: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # C9: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # G7: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # I7: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # C1: 4,5 => UNS
* INC # H5: 8 + C2: 1,2,3 # C1: 1,2,3 => UNS
* INC # H5: 8 + C2: 1,2,3 => UNS
* INC # I4: 8 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for H6,I6: 4..:

* INC # I6: 4 # I4: 5,7 => UNS
* INC # I6: 4 # H5: 5,7 => UNS
* INC # I6: 4 # A6: 5,7 => UNS
* INC # I6: 4 # B6: 5,7 => UNS
* INC # I6: 4 # E6: 5,7 => UNS
* INC # I6: 4 # H9: 5,7 => UNS
* INC # I6: 4 # H9: 2,4,6,9 => UNS
* INC # I6: 4 => UNS
* INC # H6: 4 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for F2,F7: 8..:

* INC # F7: 8 # F1: 2,3 => UNS
* INC # F7: 8 # D2: 2,3 => UNS
* INC # F7: 8 # D3: 2,3 => UNS
* INC # F7: 8 # C2: 2,3 => UNS
* INC # F7: 8 # C2: 1,4,5 => UNS
* INC # F7: 8 # F6: 2,3 => UNS
* INC # F7: 8 # F6: 7 => UNS
* INC # F7: 8 # A9: 5,7 => UNS
* INC # F7: 8 # B9: 5,7 => UNS
* INC # F7: 8 # I7: 5,7 => UNS
* INC # F7: 8 # I7: 4,6,9 => UNS
* INC # F7: 8 # A5: 5,7 => UNS
* INC # F7: 8 # A6: 5,7 => UNS
* INC # F7: 8 # B9: 4,5 => UNS
* INC # F7: 8 # C9: 4,5 => UNS
* INC # F7: 8 # G7: 4,5 => UNS
* DIS # F7: 8 # I7: 4,5 => CTR => I7: 6,7,9
* INC # F7: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # F7: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # F7: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # F1: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # D2: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # D3: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 1,4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # F6: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # F6: 7 => UNS
* INC # F7: 8 + I7: 6,7,9 # A9: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # B9: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # A5: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # A6: 5,7 => UNS
* INC # F7: 8 + I7: 6,7,9 # B9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C9: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # G7: 9 => UNS
* INC # F7: 8 + I7: 6,7,9 # C1: 4,5 => UNS
* INC # F7: 8 + I7: 6,7,9 # C2: 4,5 => UNS
* DIS # F7: 8 + I7: 6,7,9 # F1: 2,3 # C1: 2,3 => CTR => C1: 1,4
* INC # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 # A3: 2,3 => UNS
* INC # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 # A3: 2,3 => UNS
* DIS # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 # A3: 1 => CTR => A3: 2,3
* PRF # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 + A3: 2,3 # G1: 2,3 => SOL
* STA # F7: 8 + I7: 6,7,9 # F1: 2,3 + C1: 1,4 + A3: 2,3 + G1: 2,3
* CNT  49 HDP CHAINS /  51 HYP OPENED