SRS Standard pair #487083593

details

property	value
status	complete
benchmark	size-12-alpha-3-num-265.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n137.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.962286 seconds
cpu usage	2.69923
user time	2.36994
system time	0.329294
max virtual memory	5.1357612E7
max residence set size	342296.0

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 1 -> 2 ,
  1 -> ,
  2 2 -> 1 1 0 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, (2,4)->12 },
it remains to prove termination of the 52-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 1 3 -> 2 6 ,
  0 1 4 -> 2 7 ,
  0 1 5 -> 2 8 ,
  3 1 3 -> 5 6 ,
  3 1 4 -> 5 7 ,
  3 1 5 -> 5 8 ,
  6 1 3 -> 8 6 ,
  6 1 4 -> 8 7 ,
  6 1 5 -> 8 8 ,
  9 1 3 -> 11 6 ,
  9 1 4 -> 11 7 ,
  9 1 5 -> 11 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 8 6 -> 1 4 3 0 2 6 ,
  2 8 7 -> 1 4 3 0 2 7 ,
  2 8 8 -> 1 4 3 0 2 8 ,
  2 8 12 -> 1 4 3 0 2 12 ,
  5 8 6 -> 4 4 3 0 2 6 ,
  5 8 7 -> 4 4 3 0 2 7 ,
  5 8 8 -> 4 4 3 0 2 8 ,
  5 8 12 -> 4 4 3 0 2 12 ,
  8 8 6 -> 7 4 3 0 2 6 ,
  8 8 7 -> 7 4 3 0 2 7 ,
  8 8 8 -> 7 4 3 0 2 8 ,
  8 8 12 -> 7 4 3 0 2 12 ,
  11 8 6 -> 10 4 3 0 2 6 ,
  11 8 7 -> 10 4 3 0 2 7 ,
  11 8 8 -> 10 4 3 0 2 8 ,
  11 8 12 -> 10 4 3 0 2 12 }


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

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