SRS Standard pair #487091975

details

property	value
status	complete
benchmark	hom02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n184.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.594179 seconds
cpu usage	1.02937
user time	0.819397
system time	0.209969
max virtual memory	2.5781424E7
max residence set size	181080.0

stage attributes

key	value
starexec-result	YES

output

YES

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


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

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


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (1,false)->1, (2,true)->2, (2,false)->3, (0,false)->4 },
it remains to prove termination of the 8-rule system
{ 0 1 1 -> 2 3 3 4 ,
  0 1 1 -> 2 3 4 ,
  0 1 1 -> 2 4 ,
  0 1 1 -> 0 ,
  2 3 3 1 1 -> 0 ,
  4 ->= 1 1 ,
  4 1 1 ->= 1 1 3 3 3 4 ,
  3 3 3 1 1 ->= 4 }


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

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

The system is trivially terminating.

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