SRS Standard pair #487519164

details

property	value
status	complete
benchmark	multum6.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n037.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	MultumNonMulta 3.16 29 June 2020 60G
configuration	default
runtime (wallclock)	0.77965092659 seconds
cpu usage	1.926345755
max memory	4.53996544E8

stage attributes

key	value
output-size	5207
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES

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


The system was reversed.

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


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (1,false)->1, (2,false)->2, (1,true)->3, (2,true)->4, (0,false)->5 },
it remains to prove termination of the 17-rule system
{ 0 1 1 -> 0 1 2 ,
  0 1 1 -> 3 2 ,
  0 1 1 -> 4 ,
  4 5 1 2 -> 3 1 5 ,
  4 5 1 2 -> 3 5 ,
  4 5 1 2 -> 0 ,
  3 2 5 -> 4 1 5 2 ,
  3 2 5 -> 3 5 2 ,
  3 2 5 -> 0 2 ,
  3 2 5 -> 4 ,
  4 1 5 -> 0 2 1 ,
  4 1 5 -> 4 1 ,
  4 1 5 -> 3 ,
  5 1 1 ->= 5 1 2 ,
  2 5 1 2 ->= 1 1 5 ,
  1 2 5 ->= 2 1 5 2 ,
  2 1 5 ->= 5 2 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 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 11-rule system
{ 0 1 1 -> 0 1 2 ,
  0 1 1 -> 3 2 ,
  0 1 1 -> 4 ,
  4 5 1 2 -> 3 1 5 ,
  4 5 1 2 -> 3 5 ,
  3 2 5 -> 4 1 5 2 ,
  3 2 5 -> 3 5 2 ,
  5 1 1 ->= 5 1 2 ,
  2 5 1 2 ->= 1 1 5 ,
  1 2 5 ->= 2 1 5 2 ,
  2 1 5 ->= 5 2 1 }


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

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