SRS Standard pair #487091099

details

property	value
status	complete
benchmark	3-matchbox.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.478431 seconds
cpu usage	0.90782
user time	0.766544
system time	0.141276
max virtual memory	113188.0
max residence set size	179168.0

stage attributes

key	value
starexec-result	YES

output

YES

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


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


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


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 4:

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

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