SRS Standard pair #487090901

details

property	value
status	complete
benchmark	multum6.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.616007 seconds
cpu usage	1.39737
user time	1.18971
system time	0.207657
max virtual memory	2.565008E7
max residence set size	228900.0

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 0 1 -> 2 0 1 ,
  2 0 1 2 -> 1 0 0 ,
  1 2 0 -> 2 1 0 2 ,
  1 0 2 -> 0 2 1 }


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 1 2 ,
  2 0 1 2 -> 1 1 0 ,
  1 2 0 -> 2 1 0 2 ,
  2 1 0 -> 0 2 1 }


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (1,false)->1, (2,false)->2, (1,true)->3, (2,true)->4, (0,false)->5 },
it remains to prove termination of the 17-rule system
{ 0 1 1 -> 0 1 2 ,
  0 1 1 -> 3 2 ,
  0 1 1 -> 4 ,
  4 5 1 2 -> 3 1 5 ,
  4 5 1 2 -> 3 5 ,
  4 5 1 2 -> 0 ,
  3 2 5 -> 4 1 5 2 ,
  3 2 5 -> 3 5 2 ,
  3 2 5 -> 0 2 ,
  3 2 5 -> 4 ,
  4 1 5 -> 0 2 1 ,
  4 1 5 -> 4 1 ,
  4 1 5 -> 3 ,
  5 1 1 ->= 5 1 2 ,
  2 5 1 2 ->= 1 1 5 ,
  1 2 5 ->= 2 1 5 2 ,
  2 1 5 ->= 5 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 0 |
| 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 0 |
| 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 11-rule system
{ 0 1 1 -> 0 1 2 ,
  0 1 1 -> 3 2 ,
  0 1 1 -> 4 ,
  4 5 1 2 -> 3 1 5 ,
  4 5 1 2 -> 3 5 ,
  3 2 5 -> 4 1 5 2 ,
  3 2 5 -> 3 5 2 ,
  5 1 1 ->= 5 1 2 ,
  2 5 1 2 ->= 1 1 5 ,
  1 2 5 ->= 2 1 5 2 ,
  2 1 5 ->= 5 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 |
 \   /

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