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


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


YES


The dependency pairs transformation was applied.

Remains to prove termination of the 8-rule system
{ (b,true) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) -> (b,true) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) ,
  (b,true) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) -> (b,true) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) ,
  (b,true) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) -> (b,true) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) ,
  (b,true) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) -> (b,true) (b,false) (a,false) (b,false) (b,false) (a,false) ,
  (b,true) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) -> (b,true) (a,false) (b,false) (b,false) (a,false) ,
  (b,true) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) -> (b,true) (b,false) (a,false) ,
  (b,true) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) -> (b,true) (a,false) ,
  (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) ->= (a,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) }




The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 11:

(b,true) is interpreted by
 /                     \
| 1 0 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
 \                     /
(a,false) is interpreted by
 /                     \
| 1 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 2 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 1 0 |
 \                     /
(b,false) is interpreted by
 /                     \
| 1 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 1 0 0 1 0 0 0 0 1 |
| 0 0 1 0 0 0 0 0 0 0 0 |
 \                     /

Remains to prove termination of the 1-rule system
{ (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) ->= (a,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) }


The system is trivially terminating.