SRS Standard pair #487083347

details

property	value
status	complete
benchmark	uni-1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Waldmann_06_SRS

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.49347 seconds
cpu usage	0.983735
user time	0.834504
system time	0.149231
max virtual memory	113188.0
max residence set size	186540.0

stage attributes

key	value
starexec-result	YES

output

YES

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


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

After renaming modulo { (0,0)->0, (0,1)->1, (1,0)->2, (0,3)->3, (2,0)->4, (1,1)->5, (1,3)->6, (2,1)->7, (2,3)->8 },
it remains to prove termination of the 27-rule system
{ 0 0 0 0 -> 0 1 2 0 0 ,
  0 0 0 1 -> 0 1 2 0 1 ,
  0 0 0 3 -> 0 1 2 0 3 ,
  2 0 0 0 -> 2 1 2 0 0 ,
  2 0 0 1 -> 2 1 2 0 1 ,
  2 0 0 3 -> 2 1 2 0 3 ,
  4 0 0 0 -> 4 1 2 0 0 ,
  4 0 0 1 -> 4 1 2 0 1 ,
  4 0 0 3 -> 4 1 2 0 3 ,
  1 5 5 2 -> 0 0 ,
  1 5 5 5 -> 0 1 ,
  1 5 5 6 -> 0 3 ,
  5 5 5 2 -> 2 0 ,
  5 5 5 5 -> 2 1 ,
  5 5 5 6 -> 2 3 ,
  7 5 5 2 -> 4 0 ,
  7 5 5 5 -> 4 1 ,
  7 5 5 6 -> 4 3 ,
  0 0 -> 0 ,
  0 1 -> 1 ,
  0 3 -> 3 ,
  2 0 -> 2 ,
  2 1 -> 5 ,
  2 3 -> 6 ,
  4 0 -> 4 ,
  4 1 -> 7 ,
  4 3 -> 8 }


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

After renaming modulo {  }, 
it remains to prove termination of the 0-rule system
{ }

The system is trivially terminating.

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