SRS Standard pair #487088141

details

property	value
status	complete
benchmark	96642.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.779079 seconds
cpu usage	1.88833
user time	1.66359
system time	0.224745
max virtual memory	2.565008E7
max residence set size	377548.0

stage attributes

key	value
starexec-result	YES

output

YES

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 25-rule system
{ 0 1 2 1 2 2 -> 0 3 4 3 5 2 ,
  4 0 1 0 3 0 -> 2 5 0 5 5 0 ,
  2 1 3 0 3 3 5 -> 2 5 2 2 5 5 2 ,
  3 3 0 0 0 5 2 -> 5 3 3 1 2 5 2 ,
  3 3 3 0 1 1 0 -> 5 3 3 0 2 1 0 ,
  4 0 2 3 1 4 1 -> 1 4 3 2 5 4 ,
  4 1 5 0 0 5 2 1 3 -> 4 5 0 3 5 2 2 2 3 ,
  5 2 5 1 5 0 3 0 4 2 -> 3 3 2 5 1 3 3 5 0 2 ,
  2 1 4 2 2 0 3 0 1 0 5 -> 2 2 5 4 2 4 1 4 3 1 ,
  3 3 0 1 3 4 2 1 1 2 1 -> 5 2 4 4 3 5 3 5 5 1 1 ,
  5 3 2 3 5 0 4 0 2 3 4 5 -> 3 5 2 1 1 5 2 1 0 5 4 ,
  5 2 3 5 5 0 0 0 3 4 0 2 5 -> 5 5 5 2 4 3 5 1 1 2 5 0 ,
  5 5 3 4 3 2 4 0 5 2 1 2 2 -> 5 5 4 4 0 1 0 1 3 1 4 2 ,
  1 4 5 1 5 0 1 1 1 0 3 2 3 3 1 -> 1 1 3 2 3 4 3 5 4 4 3 5 3 1 ,
  3 3 5 3 2 1 2 3 3 1 0 0 2 3 3 -> 3 5 2 1 1 3 3 0 2 2 1 2 0 3 3 ,
  3 3 3 4 0 5 4 4 3 2 1 4 2 0 0 2 -> 3 5 1 2 5 3 5 4 5 3 1 1 4 2 2 3 ,
  5 0 2 5 5 1 3 2 5 2 0 4 4 0 4 1 -> 5 1 1 0 0 2 2 2 1 3 4 3 2 5 4 ,
  3 5 4 1 4 3 0 5 5 0 2 5 1 4 3 1 5 3 -> 3 4 0 5 0 0 1 0 4 0 4 3 4 5 0 2 3 1 ,
  4 5 3 3 2 5 5 1 3 5 1 5 0 0 2 5 5 1 -> 4 5 5 2 2 3 0 3 3 0 4 1 3 1 1 1 ,
  0 0 5 3 2 0 5 1 3 3 5 2 0 2 5 3 4 4 5 -> 0 0 5 3 5 5 0 1 3 5 0 1 3 1 3 4 2 4 ,
  2 5 1 2 2 3 2 3 2 1 4 2 0 5 5 1 0 3 3 -> 2 3 0 4 5 0 4 3 1 3 2 0 4 1 2 4 1 3 ,
  3 2 1 3 3 1 5 1 2 0 2 0 4 1 4 2 5 5 1 5 -> 5 1 0 1 3 1 1 4 2 0 0 2 3 2 5 3 5 1 2 ,
  3 2 1 4 2 1 1 0 4 0 1 2 2 3 1 3 5 1 4 5 -> 3 2 5 5 0 5 4 2 2 5 2 1 0 1 5 0 3 3 5 2 ,
  0 4 2 4 5 0 4 4 4 0 2 1 1 5 3 1 5 1 1 5 0 -> 2 1 0 0 3 4 0 3 4 5 3 1 4 2 1 5 3 3 5 5 0 ,
  1 1 2 2 3 0 3 1 2 3 3 5 4 2 0 1 3 0 0 2 3 -> 3 3 3 1 0 4 5 2 1 2 4 5 5 5 0 3 5 3 4 4 0 }


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

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 14-rule system
{ 0 1 2 1 2 2 -> 0 3 4 3 5 2 ,
  4 0 1 0 3 0 -> 2 5 0 5 5 0 ,
  2 1 3 0 3 3 5 -> 2 5 2 2 5 5 2 ,
  3 3 0 0 0 5 2 -> 5 3 3 1 2 5 2 ,
  3 3 3 0 1 1 0 -> 5 3 3 0 2 1 0 ,
  4 1 5 0 0 5 2 1 3 -> 4 5 0 3 5 2 2 2 3 ,
  5 2 5 1 5 0 3 0 4 2 -> 3 3 2 5 1 3 3 5 0 2 ,
  3 3 0 1 3 4 2 1 1 2 1 -> 5 2 4 4 3 5 3 5 5 1 1 ,
  3 3 5 3 2 1 2 3 3 1 0 0 2 3 3 -> 3 5 2 1 1 3 3 0 2 2 1 2 0 3 3 ,
  3 3 3 4 0 5 4 4 3 2 1 4 2 0 0 2 -> 3 5 1 2 5 3 5 4 5 3 1 1 4 2 2 3 ,
  3 5 4 1 4 3 0 5 5 0 2 5 1 4 3 1 5 3 -> 3 4 0 5 0 0 1 0 4 0 4 3 4 5 0 2 3 1 ,
  3 2 1 4 2 1 1 0 4 0 1 2 2 3 1 3 5 1 4 5 -> 3 2 5 5 0 5 4 2 2 5 2 1 0 1 5 0 3 3 5 2 ,
  0 4 2 4 5 0 4 4 4 0 2 1 1 5 3 1 5 1 1 5 0 -> 2 1 0 0 3 4 0 3 4 5 3 1 4 2 1 5 3 3 5 5 0 ,
  1 1 2 2 3 0 3 1 2 3 3 5 4 2 0 1 3 0 0 2 3 -> 3 3 3 1 0 4 5 2 1 2 4 5 5 5 0 3 5 3 4 4 0 }


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

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 },
it remains to prove termination of the 12-rule system
{ 0 1 2 1 2 2 -> 0 3 4 3 5 2 ,
  4 0 1 0 3 0 -> 2 5 0 5 5 0 ,
  2 1 3 0 3 3 5 -> 2 5 2 2 5 5 2 ,
  3 3 0 0 0 5 2 -> 5 3 3 1 2 5 2 ,
  3 3 3 0 1 1 0 -> 5 3 3 0 2 1 0 ,
  5 2 5 1 5 0 3 0 4 2 -> 3 3 2 5 1 3 3 5 0 2 ,
  3 3 0 1 3 4 2 1 1 2 1 -> 5 2 4 4 3 5 3 5 5 1 1 ,
  3 3 5 3 2 1 2 3 3 1 0 0 2 3 3 -> 3 5 2 1 1 3 3 0 2 2 1 2 0 3 3 ,
  3 3 3 4 0 5 4 4 3 2 1 4 2 0 0 2 -> 3 5 1 2 5 3 5 4 5 3 1 1 4 2 2 3 ,
  3 2 1 4 2 1 1 0 4 0 1 2 2 3 1 3 5 1 4 5 -> 3 2 5 5 0 5 4 2 2 5 2 1 0 1 5 0 3 3 5 2 ,
  0 4 2 4 5 0 4 4 4 0 2 1 1 5 3 1 5 1 1 5 0 -> 2 1 0 0 3 4 0 3 4 5 3 1 4 2 1 5 3 3 5 5 0 ,
  1 1 2 2 3 0 3 1 2 3 3 5 4 2 0 1 3 0 0 2 3 -> 3 3 3 1 0 4 5 2 1 2 4 5 5 5 0 3 5 3 4 4 0 }

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