SRS Standard pair #487083365

details

property	value
status	complete
benchmark	pi.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	Waldmann_06_SRS

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.802154 seconds
cpu usage	1.56193
user time	1.34021
system time	0.221721
max virtual memory	2.5676096E7
max residence set size	199364.0

stage attributes

key	value
starexec-result	YES

output

YES

After renaming modulo { 3->0, 1->1, 4->2, 5->3, 9->4, 2->5, 6->6, 8->7, 7->8, 0->9 }, 
it remains to prove termination of the 12-rule system
{ 0 1 -> 2 1 ,
  3 4 -> 5 6 3 ,
  0 3 -> 7 4 8 ,
  4 -> 0 5 0 ,
  7 2 -> 6 ,
  5 6 -> 2 0 ,
  0 7 -> 0 5 8 ,
  4 -> 3 9 5 ,
  7 7 2 -> 1 4 ,
  8 1 -> 6 4 ,
  0 4 -> 4 0 ,
  8 3 -> 1 9 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 3:

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

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


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

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