SRS Standard pair #487091483

details

property	value
status	complete
benchmark	z008.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n054.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.567991 seconds
cpu usage	1.16543
user time	0.971244
system time	0.194185
max virtual memory	2.5847096E7
max residence set size	197204.0

stage attributes

key	value
starexec-result	YES

output

YES

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


The system was reversed.

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


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

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


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (1,false)->1, (2,false)->2, (2,true)->3, (0,false)->4, (1,true)->5 },
it remains to prove termination of the 15-rule system
{ 0 1 2 1 -> 3 4 1 2 ,
  0 1 2 1 -> 0 1 2 ,
  0 1 2 1 -> 5 2 ,
  0 1 2 1 -> 3 ,
  5 1 2 1 -> 5 2 1 2 ,
  5 1 2 1 -> 3 1 2 ,
  5 1 2 1 -> 5 2 ,
  5 1 2 1 -> 3 ,
  3 2 1 2 -> 3 1 2 1 ,
  3 2 1 2 -> 5 2 1 ,
  3 2 1 2 -> 3 1 ,
  3 2 1 2 -> 5 ,
  4 1 2 1 ->= 2 4 1 2 ,
  1 1 2 1 ->= 1 2 1 2 ,
  2 2 1 2 ->= 2 1 2 1 }


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

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


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

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

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