SRS Standard pair #487091015

details

property	value
status	complete
benchmark	secr8.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	7.01956 seconds
cpu usage	26.4226
user time	25.349
system time	1.07364
max virtual memory	2.6049492E7
max residence set size	2679088.0

stage attributes

key	value
starexec-result	YES

output

YES

After renaming modulo { b->0, a->1, c->2 }, 
it remains to prove termination of the 5-rule system
{ 0 0 0 -> 1 ,
  1 1 -> 1 0 1 ,
  0 2 -> 2 1 1 ,
  1 2 -> 2 0 0 ,
  1 1 1 -> 0 1 1 }


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (0,false)->1, (1,true)->2, (1,false)->3, (2,false)->4 },
it remains to prove termination of the 16-rule system
{ 0 1 1 -> 2 ,
  2 3 -> 2 1 3 ,
  2 3 -> 0 3 ,
  2 3 -> 2 ,
  0 4 -> 2 3 ,
  0 4 -> 2 ,
  2 4 -> 0 1 ,
  2 4 -> 0 ,
  2 3 3 -> 0 3 3 ,
  2 3 3 -> 2 3 ,
  2 3 3 -> 2 ,
  1 1 1 ->= 3 ,
  3 3 ->= 3 1 3 ,
  1 4 ->= 4 3 3 ,
  3 4 ->= 4 1 1 ,
  3 3 3 ->= 1 3 3 }


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 1 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4 }, 
it remains to prove termination of the 12-rule system
{ 0 1 1 -> 2 ,
  2 3 -> 2 1 3 ,
  2 3 -> 0 3 ,
  2 3 -> 2 ,
  2 3 3 -> 0 3 3 ,
  2 3 3 -> 2 3 ,
  2 3 3 -> 2 ,
  1 1 1 ->= 3 ,
  3 3 ->= 3 1 3 ,
  1 4 ->= 4 3 3 ,
  3 4 ->= 4 1 1 ,
  3 3 3 ->= 1 3 3 }


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

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