SRS Standard pair #487091543

details

property	value
status	complete
benchmark	z117.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	Zantema_04

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.886801 seconds
cpu usage	2.35078
user time	2.07173
system time	0.279049
max virtual memory	2.5650916E7
max residence set size	364348.0

stage attributes

key	value
starexec-result	YES

output

YES

After renaming modulo { d->0, a->1, b->2, c->3 }, 
it remains to prove termination of the 4-rule system
{ 0 1 -> 2 0 ,
  2 -> 1 1 1 ,
  3 0 3 -> 1 0 ,
  2 0 0 -> 3 3 0 0 3 }


The system was reversed.

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


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (1,false)->1, (1,true)->2, (2,false)->3, (2,true)->4, (0,false)->5, (3,true)->6, (3,false)->7 },
it remains to prove termination of the 16-rule system
{ 0 1 -> 2 3 ,
  0 1 -> 4 ,
  4 -> 0 5 5 ,
  4 -> 0 5 ,
  4 -> 0 ,
  6 1 7 -> 2 5 ,
  6 1 7 -> 0 ,
  2 1 3 -> 6 1 1 7 7 ,
  2 1 3 -> 2 1 7 7 ,
  2 1 3 -> 2 7 7 ,
  2 1 3 -> 6 7 ,
  2 1 3 -> 6 ,
  5 1 ->= 1 3 ,
  3 ->= 5 5 5 ,
  7 1 7 ->= 1 5 ,
  1 1 3 ->= 7 1 1 7 7 }


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 2 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
7 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo { 6->0, 1->1, 7->2, 2->3, 5->4, 3->5 }, 
it remains to prove termination of the 7-rule system
{ 0 1 2 -> 3 4 ,
  3 1 5 -> 0 1 1 2 2 ,
  3 1 5 -> 3 1 2 2 ,
  4 1 ->= 1 5 ,
  5 ->= 4 4 4 ,
  2 1 2 ->= 1 4 ,
  1 1 5 ->= 2 1 1 2 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

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