SRS Standard pair #487084667

details

property	value
status	complete
benchmark	size-12-alpha-3-num-61.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	2.72149 seconds
cpu usage	9.57978
user time	8.92357
system time	0.656205
max virtual memory	2.5983952E7
max residence set size	1406984.0

stage attributes

key	value
starexec-result	YES

output

YES

After renaming modulo { a->0, b->1, c->2 }, 
it remains to prove termination of the 4-rule system
{ 0 -> ,
  0 0 -> 0 1 2 ,
  1 -> ,
  2 1 -> 1 0 2 }


Applying sparse 2-tiling [Hofbauer/Geser/Waldmann, FSCD 2019].

After renaming modulo { (0,0)->0, (0,1)->1, (0,2)->2, (1,0)->3, (1,1)->4, (1,2)->5, (2,0)->6, (2,1)->7, (2,2)->8, (3,0)->9, (3,1)->10, (3,2)->11 },
it remains to prove termination of the 48-rule system
{ 0 0 -> 0 ,
  0 1 -> 1 ,
  0 2 -> 2 ,
  3 0 -> 3 ,
  3 1 -> 4 ,
  3 2 -> 5 ,
  6 0 -> 6 ,
  6 1 -> 7 ,
  6 2 -> 8 ,
  9 0 -> 9 ,
  9 1 -> 10 ,
  9 2 -> 11 ,
  0 0 0 -> 0 1 5 6 ,
  0 0 1 -> 0 1 5 7 ,
  0 0 2 -> 0 1 5 8 ,
  3 0 0 -> 3 1 5 6 ,
  3 0 1 -> 3 1 5 7 ,
  3 0 2 -> 3 1 5 8 ,
  6 0 0 -> 6 1 5 6 ,
  6 0 1 -> 6 1 5 7 ,
  6 0 2 -> 6 1 5 8 ,
  9 0 0 -> 9 1 5 6 ,
  9 0 1 -> 9 1 5 7 ,
  9 0 2 -> 9 1 5 8 ,
  1 3 -> 0 ,
  1 4 -> 1 ,
  1 5 -> 2 ,
  4 3 -> 3 ,
  4 4 -> 4 ,
  4 5 -> 5 ,
  7 3 -> 6 ,
  7 4 -> 7 ,
  7 5 -> 8 ,
  10 3 -> 9 ,
  10 4 -> 10 ,
  10 5 -> 11 ,
  2 7 3 -> 1 3 2 6 ,
  2 7 4 -> 1 3 2 7 ,
  2 7 5 -> 1 3 2 8 ,
  5 7 3 -> 4 3 2 6 ,
  5 7 4 -> 4 3 2 7 ,
  5 7 5 -> 4 3 2 8 ,
  8 7 3 -> 7 3 2 6 ,
  8 7 4 -> 7 3 2 7 ,
  8 7 5 -> 7 3 2 8 ,
  11 7 3 -> 10 3 2 6 ,
  11 7 4 -> 10 3 2 7 ,
  11 7 5 -> 10 3 2 8 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 3 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 3 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 3 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 3 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 0 |

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