SRS Standard pair #487513980

details

property	value
status	complete
benchmark	07.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n115.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	MultumNonMulta 3.16 29 June 2020 60G
configuration	default
runtime (wallclock)	0.877014875412 seconds
cpu usage	1.927403917
max memory	4.49040384E8

stage attributes

key	value
output-size	3448
starexec-result	YES

output

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


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


YES

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


The length-preserving system was inverted.

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


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (0,false)->1, (1,false)->2, (1,true)->3 },
it remains to prove termination of the 11-rule system
{ 0 1 -> 0 2 ,
  0 1 -> 3 ,
  0 2 2 -> 0 2 1 ,
  0 2 2 -> 3 1 ,
  0 2 2 -> 0 ,
  3 1 1 -> 3 2 2 ,
  3 1 1 -> 3 2 ,
  3 1 1 -> 3 ,
  1 1 ->= 1 2 ,
  1 2 2 ->= 1 2 1 ,
  2 1 1 ->= 2 2 2 }


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

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


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 3:

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

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