SRS Standard pair #487087937

details

property	value
status	complete
benchmark	4181.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n141.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.615086 seconds
cpu usage	1.36824
user time	1.17004
system time	0.198205
max virtual memory	2.565008E7
max residence set size	187844.0

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


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

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

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