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


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


YES


The dependency pairs transformation was applied.

Remains to prove termination of the 17-rule system
{ (b,true) (b,false) (b,false) -> (b,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) ,
  (b,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (b,true) (b,false) (b,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (b,true) (b,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (b,true) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (b,true) (a,false) (b,false) ,
  (b,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (b,true) ,
  (b,false) (b,false) (b,false) ->= (b,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
  (b,false) (a,false) (b,false) (b,false) ->= (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ->= (b,false) (b,false) (b,false) (b,false) (a,false) (b,false) }




The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 10:

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

Remains to prove termination of the 11-rule system
{ (b,true) (b,false) (b,false) -> (b,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) ,
  (b,false) (b,false) (b,false) ->= (b,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
  (b,false) (a,false) (b,false) (b,false) ->= (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 4:

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

Remains to prove termination of the 10-rule system
{ (b,true) (b,false) (b,false) -> (b,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) (a,false) (b,false) ,
  (b,true) (b,false) (b,false) -> (b,true) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) ,
  (b,false) (a,false) (b,false) (b,false) ->= (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 4:

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

Remains to prove termination of the 5-rule system
{ (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) ,
  (b,false) (a,false) (b,false) (b,false) ->= (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

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

Remains to prove termination of the 4-rule system
{ (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) (a,false) (a,false) (b,false) ,
  (b,true) (a,false) (b,false) (b,false) -> (b,true) }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

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

Remains to prove termination of the 0-rule system
{ }


The system is trivially terminating.