SRS Standard pair #487091033

details

property	value
status	complete
benchmark	secr10.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	1.43947 seconds
cpu usage	4.37638
user time	3.84867
system time	0.527703
max virtual memory	2.567636E7
max residence set size	550540.0

stage attributes

key	value
starexec-result	YES

output

YES

After renaming modulo { a->0, c->1, b->2 }, 
it remains to prove termination of the 6-rule system
{ 0 0 -> 1 2 0 2 0 ,
  2 0 2 -> 2 ,
  0 0 0 -> 1 1 0 ,
  1 1 -> 0 2 1 2 0 ,
  0 1 0 -> 1 1 0 ,
  1 0 1 -> 0 0 1 }


The system was reversed.

After renaming modulo { 0->0, 2->1, 1->2 }, 
it remains to prove termination of the 6-rule system
{ 0 0 -> 0 1 0 1 2 ,
  1 0 1 -> 1 ,
  0 0 0 -> 0 2 2 ,
  2 2 -> 0 1 2 1 0 ,
  0 2 0 -> 0 2 2 ,
  2 0 2 -> 2 0 0 }


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (0,false)->1, (1,false)->2, (2,false)->3, (1,true)->4, (2,true)->5 },
it remains to prove termination of the 26-rule system
{ 0 1 -> 0 2 1 2 3 ,
  0 1 -> 4 1 2 3 ,
  0 1 -> 0 2 3 ,
  0 1 -> 4 3 ,
  0 1 -> 5 ,
  4 1 2 -> 4 ,
  0 1 1 -> 0 3 3 ,
  0 1 1 -> 5 3 ,
  0 1 1 -> 5 ,
  5 3 -> 0 2 3 2 1 ,
  5 3 -> 4 3 2 1 ,
  5 3 -> 5 2 1 ,
  5 3 -> 4 1 ,
  5 3 -> 0 ,
  0 3 1 -> 0 3 3 ,
  0 3 1 -> 5 3 ,
  0 3 1 -> 5 ,
  5 1 3 -> 5 1 1 ,
  5 1 3 -> 0 1 ,
  5 1 3 -> 0 ,
  1 1 ->= 1 2 1 2 3 ,
  2 1 2 ->= 2 ,
  1 1 1 ->= 1 3 3 ,
  3 3 ->= 1 2 3 2 1 ,
  1 3 1 ->= 1 3 3 ,
  3 1 3 ->= 3 1 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 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, 5->4, 4->5 }, 
it remains to prove termination of the 22-rule system
{ 0 1 -> 0 2 1 2 3 ,
  0 1 -> 0 2 3 ,
  0 1 -> 4 ,
  5 1 2 -> 5 ,
  0 1 1 -> 0 3 3 ,
  0 1 1 -> 4 3 ,
  0 1 1 -> 4 ,
  4 3 -> 0 2 3 2 1 ,

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