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


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YES


The system was reversed.

Remains to prove termination of the 2-rule system
{ a b a -> a b b b ,
  a b b b -> b a a a }


The dependency pairs transformation was applied.

Remains to prove termination of the 6-rule system
{ (a,true) (b,false) (a,false) -> (a,true) (b,false) (b,false) (b,false) ,
  (a,true) (b,false) (b,false) (b,false) -> (a,true) (a,false) (a,false) ,
  (a,true) (b,false) (b,false) (b,false) -> (a,true) (a,false) ,
  (a,true) (b,false) (b,false) (b,false) -> (a,true) ,
  (a,false) (b,false) (a,false) ->= (a,false) (b,false) (b,false) (b,false) ,
  (a,false) (b,false) (b,false) (b,false) ->= (b,false) (a,false) (a,false) (a,false) }




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

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

Remains to prove termination of the 3-rule system
{ (a,true) (b,false) (a,false) -> (a,true) (b,false) (b,false) (b,false) ,
  (a,false) (b,false) (a,false) ->= (a,false) (b,false) (b,false) (b,false) ,
  (a,false) (b,false) (b,false) (b,false) ->= (b,false) (a,false) (a,false) (a,false) }


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

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

Remains to prove termination of the 2-rule system
{ (a,false) (b,false) (a,false) ->= (a,false) (b,false) (b,false) (b,false) ,
  (a,false) (b,false) (b,false) (b,false) ->= (b,false) (a,false) (a,false) (a,false) }


The system is trivially terminating.