SRS Standard pair #487087247

details

property	value
status	complete
benchmark	85477.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	1.08587 seconds
cpu usage	3.0248
user time	2.71759
system time	0.307215
max virtual memory	2.5656232E7
max residence set size	553200.0

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 30-rule system
{ 0 0 1 2 2 -> 2 3 3 2 2 ,
  0 4 1 0 4 5 -> 5 2 5 3 4 5 ,
  0 5 2 4 2 0 0 5 2 -> 1 5 2 0 2 3 5 2 ,
  3 4 2 2 1 5 3 3 2 -> 3 1 0 3 5 3 3 0 2 ,
  0 5 5 3 1 3 3 0 2 0 -> 3 3 3 2 5 0 4 0 5 0 ,
  5 0 3 5 1 4 2 1 0 2 -> 5 2 0 1 3 1 1 0 2 ,
  2 4 5 2 4 3 4 3 1 2 3 -> 5 3 1 3 3 3 2 2 4 1 ,
  0 2 1 5 3 5 3 0 5 5 5 0 -> 2 2 5 4 4 2 3 3 0 3 5 4 ,
  3 2 0 0 4 0 0 0 2 5 1 0 -> 1 5 2 4 0 4 2 0 0 5 0 2 ,
  3 3 3 2 3 3 1 2 2 4 3 3 -> 1 2 2 1 3 2 3 5 2 5 5 ,
  5 5 4 0 3 0 2 3 3 2 3 3 -> 5 2 2 3 0 1 1 3 4 4 5 ,
  0 0 3 1 0 2 2 3 2 5 3 0 1 -> 0 1 3 4 3 1 0 0 3 3 4 0 ,
  2 1 3 3 4 3 0 2 0 4 0 3 1 -> 2 4 1 3 0 1 3 3 2 1 3 4 4 ,
  2 4 2 3 3 5 0 4 5 5 2 5 5 -> 3 5 4 3 3 2 0 1 1 4 3 5 ,
  5 2 3 1 2 1 5 4 5 1 1 0 0 -> 5 2 0 5 4 3 4 3 3 0 5 0 0 ,
  2 5 0 2 2 0 3 3 1 4 2 5 0 0 0 -> 5 3 1 3 1 4 4 2 5 4 5 4 4 1 0 ,
  2 5 1 2 0 0 5 1 2 2 1 0 2 1 5 -> 0 3 2 5 5 2 4 4 3 5 3 4 3 4 1 ,
  2 5 3 5 2 4 2 1 3 0 5 0 3 1 3 -> 5 3 2 3 5 1 5 3 5 3 5 1 5 ,
  0 3 5 5 0 3 2 4 1 1 4 5 1 5 5 3 -> 0 5 1 2 4 0 2 0 1 2 4 3 3 3 0 5 ,
  0 4 4 1 2 2 1 3 5 3 1 3 4 1 1 0 -> 0 1 5 2 2 5 0 5 3 3 2 3 4 1 5 2 ,
  3 3 2 0 1 5 4 5 4 2 4 2 3 4 4 3 -> 5 2 5 5 5 5 2 3 3 1 2 5 0 4 0 ,
  3 0 0 2 0 3 5 3 0 2 5 3 5 5 2 3 4 -> 5 3 4 3 0 4 2 2 1 0 4 1 0 0 3 4 ,
  0 1 1 3 5 1 1 1 3 0 0 4 1 2 2 3 1 5 0 -> 2 4 5 5 5 4 0 2 5 0 5 4 4 5 5 0 5 0 0 ,
  1 0 3 2 0 2 4 1 3 2 5 0 0 4 5 0 3 4 3 -> 4 2 2 0 0 0 0 4 1 4 0 5 3 5 0 2 4 3 ,
  1 2 1 3 4 2 4 4 1 2 5 2 3 3 3 5 1 0 0 -> 1 5 3 2 5 0 5 2 3 0 0 3 1 5 3 4 4 3 0 ,
  3 3 5 4 1 1 3 2 1 4 4 0 1 1 0 4 3 1 0 -> 3 4 0 2 3 1 3 0 4 4 3 4 4 4 3 2 1 0 ,
  2 5 0 4 0 3 4 3 4 0 0 2 4 2 4 1 0 1 2 3 -> 0 1 2 0 5 4 3 2 0 2 3 3 3 0 1 5 5 5 1 ,
  0 3 4 2 2 0 3 4 1 1 5 0 3 5 2 1 3 3 4 1 0 -> 2 4 4 3 0 5 5 5 5 2 2 0 2 5 1 1 0 1 0 0 1 ,
  2 4 5 2 1 3 5 5 1 1 1 0 0 4 5 0 1 2 0 2 5 -> 2 0 0 2 2 1 2 1 2 2 2 0 5 3 3 2 5 2 2 5 2 ,
  4 3 1 4 3 3 3 3 4 4 2 5 1 4 5 1 4 3 2 3 3 -> 2 5 5 1 1 1 4 5 3 2 3 3 0 4 2 3 1 5 4 5 }


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 16-rule system
{ 0 0 1 2 2 -> 2 3 3 2 2 ,
  0 4 1 0 4 5 -> 5 2 5 3 4 5 ,
  3 4 2 2 1 5 3 3 2 -> 3 1 0 3 5 3 3 0 2 ,
  0 5 5 3 1 3 3 0 2 0 -> 3 3 3 2 5 0 4 0 5 0 ,
  0 2 1 5 3 5 3 0 5 5 5 0 -> 2 2 5 4 4 2 3 3 0 3 5 4 ,
  3 2 0 0 4 0 0 0 2 5 1 0 -> 1 5 2 4 0 4 2 0 0 5 0 2 ,
  2 1 3 3 4 3 0 2 0 4 0 3 1 -> 2 4 1 3 0 1 3 3 2 1 3 4 4 ,
  5 2 3 1 2 1 5 4 5 1 1 0 0 -> 5 2 0 5 4 3 4 3 3 0 5 0 0 ,
  2 5 0 2 2 0 3 3 1 4 2 5 0 0 0 -> 5 3 1 3 1 4 4 2 5 4 5 4 4 1 0 ,
  2 5 1 2 0 0 5 1 2 2 1 0 2 1 5 -> 0 3 2 5 5 2 4 4 3 5 3 4 3 4 1 ,
  0 3 5 5 0 3 2 4 1 1 4 5 1 5 5 3 -> 0 5 1 2 4 0 2 0 1 2 4 3 3 3 0 5 ,
  0 4 4 1 2 2 1 3 5 3 1 3 4 1 1 0 -> 0 1 5 2 2 5 0 5 3 3 2 3 4 1 5 2 ,
  0 1 1 3 5 1 1 1 3 0 0 4 1 2 2 3 1 5 0 -> 2 4 5 5 5 4 0 2 5 0 5 4 4 5 5 0 5 0 0 ,
  1 2 1 3 4 2 4 4 1 2 5 2 3 3 3 5 1 0 0 -> 1 5 3 2 5 0 5 2 3 0 0 3 1 5 3 4 4 3 0 ,
  0 3 4 2 2 0 3 4 1 1 5 0 3 5 2 1 3 3 4 1 0 -> 2 4 4 3 0 5 5 5 5 2 2 0 2 5 1 1 0 1 0 0 1 ,
  2 4 5 2 1 3 5 5 1 1 1 0 0 4 5 0 1 2 0 2 5 -> 2 0 0 2 2 1 2 1 2 2 2 0 5 3 3 2 5 2 2 5 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 13:

0 is interpreted by
 /                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 |

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job log

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