SRS Standard pair #487083053

details

property	value
status	complete
benchmark	10.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	Zantema_06

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	5.63804 seconds
cpu usage	21.008
user time	20.2244
system time	0.783573
max virtual memory	2.6049488E7
max residence set size	1901924.0

stage attributes

key	value
starexec-result	YES

output

YES

After renaming modulo { a->0, d->1, b->2, c->3 }, 
it remains to prove termination of the 7-rule system
{ 0 1 -> 1 2 ,
  0 -> 2 2 2 ,
  1 -> ,
  0 -> ,
  2 1 2 -> 0 1 ,
  2 3 -> 3 1 1 ,
  0 3 -> 2 2 3 1 }


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (1,false)->1, (1,true)->2, (2,false)->3, (2,true)->4, (3,false)->5, (0,false)->6 },
it remains to prove termination of the 19-rule system
{ 0 1 -> 2 3 ,
  0 1 -> 4 ,
  0 -> 4 3 3 ,
  0 -> 4 3 ,
  0 -> 4 ,
  4 1 3 -> 0 1 ,
  4 1 3 -> 2 ,
  4 5 -> 2 1 ,
  4 5 -> 2 ,
  0 5 -> 4 3 5 1 ,
  0 5 -> 4 5 1 ,
  0 5 -> 2 ,
  6 1 ->= 1 3 ,
  6 ->= 3 3 3 ,
  1 ->= ,
  6 ->= ,
  3 1 3 ->= 6 1 ,
  3 5 ->= 5 1 1 ,
  6 5 ->= 3 3 5 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 |
 \   /
6 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

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


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

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to SRS Standard