Pair Reduction Analysis

Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.261526

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for H7,G8: 9..:

* DIS # H7: 9 # I8: 1,7 => CTR => I8: 3
* DIS # H7: 9 + I8: 3 # E8: 1,7 => CTR => E8: 8,9
* DIS # H7: 9 + I8: 3 + E8: 8,9 # I5: 6,8 => CTR => I5: 2,4,7
* PRF # H7: 9 + I8: 3 + E8: 8,9 + I5: 2,4,7 # I2: 4 => SOL
* STA # H7: 9 + I8: 3 + E8: 8,9 + I5: 2,4,7 + I2: 4
* CNT   4 HDP CHAINS /  20 HYP OPENED

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

Positions

5.......9.2.1...7...8...3...4.7.2.......51......6...1...3...8...6...4.2.9.......5	initial
5.......9.2.1...7...8...3...4.7.2.......51......6...1...3...8...6...4.2.9.......5	autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (4)
G1: 1,2
I3: 1,2
A7: 2,4
C9: 2,4

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* CONSTRAINT PAIRS (AUTO SOLVE)
G1,I3: 1.. / G1 = 1  =>  4 pairs (_) / I3 = 1  =>  4 pairs (_)
A4,C4: 1.. / A4 = 1  =>  5 pairs (_) / C4 = 1  =>  5 pairs (_)
G1,I3: 2.. / G1 = 2  =>  4 pairs (_) / I3 = 2  =>  4 pairs (_)
A7,C9: 2.. / A7 = 2  =>  5 pairs (_) / C9 = 2  =>  5 pairs (_)
B1,A2: 3.. / B1 = 3  =>  5 pairs (_) / A2 = 3  =>  5 pairs (_)
I8,H9: 3.. / I8 = 3  =>  6 pairs (_) / H9 = 3  =>  6 pairs (_)
D5,E6: 4.. / D5 = 4  =>  4 pairs (_) / E6 = 4  =>  4 pairs (_)
A7,C9: 4.. / A7 = 4  =>  5 pairs (_) / C9 = 4  =>  5 pairs (_)
G2,H3: 5.. / G2 = 5  =>  6 pairs (_) / H3 = 5  =>  5 pairs (_)
B7,C8: 5.. / B7 = 5  =>  6 pairs (_) / C8 = 5  =>  5 pairs (_)
F2,G2: 5.. / F2 = 5  =>  5 pairs (_) / G2 = 5  =>  6 pairs (_)
C8,D8: 5.. / C8 = 5  =>  5 pairs (_) / D8 = 5  =>  6 pairs (_)
B6,B7: 5.. / B6 = 5  =>  5 pairs (_) / B7 = 5  =>  6 pairs (_)
H3,H4: 5.. / H3 = 5  =>  5 pairs (_) / H4 = 5  =>  6 pairs (_)
H1,I2: 8.. / H1 = 8  =>  5 pairs (_) / I2 = 8  =>  6 pairs (_)
A8,B9: 8.. / A8 = 8  =>  5 pairs (_) / B9 = 8  =>  6 pairs (_)
C2,B3: 9.. / C2 = 9  =>  5 pairs (_) / B3 = 9  =>  5 pairs (_)
H7,G8: 9.. / H7 = 9  =>  6 pairs (_) / G8 = 9  =>  6 pairs (_)
* DURATION: 0:00:14.760768  START: 23:53:51.741249  END: 23:54:06.502017 2020-10-17
* CP COUNT: (18)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H7,G8: 9.. / H7 = 9 ==>  0 pairs (*) / G8 = 9  =>  0 pairs (X)
* DURATION: 0:00:32.489433  START: 23:54:07.509185  END: 23:54:39.998618 2020-10-17
* REASONING H7,G8: 9..
* DIS # H7: 9 # I8: 1,7 => CTR => I8: 3
* DIS # H7: 9 + I8: 3 # E8: 1,7 => CTR => E8: 8,9
* DIS # H7: 9 + I8: 3 + E8: 8,9 # I5: 6,8 => CTR => I5: 2,4,7
* PRF # H7: 9 + I8: 3 + E8: 8,9 + I5: 2,4,7 # I2: 4 => SOL
* STA # H7: 9 + I8: 3 + E8: 8,9 + I5: 2,4,7 + I2: 4
* CNT   4 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

364;coloin-mbmplus5b;tax;21;11.40;11.40;3.40

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H7,G8: 9..:

* INC # H7: 9 # D3: 2,5 => UNS
* INC # H7: 9 # D3: 4,9 => UNS
* INC # H7: 9 # I7: 1,7 => UNS
* DIS # H7: 9 # I8: 1,7 => CTR => I8: 3
* INC # H7: 9 + I8: 3 # G9: 1,7 => UNS
* INC # H7: 9 + I8: 3 # A8: 1,7 => UNS
* INC # H7: 9 + I8: 3 # C8: 1,7 => UNS
* DIS # H7: 9 + I8: 3 # E8: 1,7 => CTR => E8: 8,9
* INC # H7: 9 + I8: 3 + E8: 8,9 # I7: 1,7 => UNS
* INC # H7: 9 + I8: 3 + E8: 8,9 # G9: 1,7 => UNS
* INC # H7: 9 + I8: 3 + E8: 8,9 # A8: 1,7 => UNS
* INC # H7: 9 + I8: 3 + E8: 8,9 # C8: 1,7 => UNS
* INC # H7: 9 + I8: 3 + E8: 8,9 # H4: 6,8 => UNS
* INC # H7: 9 + I8: 3 + E8: 8,9 # H5: 6,8 => UNS
* DIS # H7: 9 + I8: 3 + E8: 8,9 # I5: 6,8 => CTR => I5: 2,4,7
* INC # H7: 9 + I8: 3 + E8: 8,9 + I5: 2,4,7 # A4: 6,8 => UNS
* INC # H7: 9 + I8: 3 + E8: 8,9 + I5: 2,4,7 # A4: 1,3 => UNS
* INC # H7: 9 + I8: 3 + E8: 8,9 + I5: 2,4,7 # I2: 6,8 => UNS
* PRF # H7: 9 + I8: 3 + E8: 8,9 + I5: 2,4,7 # I2: 4 => SOL
* STA # H7: 9 + I8: 3 + E8: 8,9 + I5: 2,4,7 + I2: 4
* CNT  19 HDP CHAINS /  20 HYP OPENED