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


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YES


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

b is interpreted by
 /       \
| 1 0 1 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 1 0 0 |
 \       /
a is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 1 |
| 0 0 0 0 |
 \       /

Remains to prove termination of the 5-rule system
{ b a a a b a a b -> b a a b a a b a a a b b ,
  b a a a b a a a b -> b ,
  b a a a b b b -> b b b a a a b ,
  b a a b b -> b ,
  b b a a b -> b }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 9:

b is interpreted by
 /                 \
| 1 0 1 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 1 0 0 0 1 0 0 |
| 0 0 0 1 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
 \                 /
a is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 |
| 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 1 1 0 |
| 0 0 0 0 0 0 0 0 1 |
| 1 0 0 0 0 0 0 0 0 |
 \                 /

Remains to prove termination of the 3-rule system
{ b a a a b b b -> b b b a a a b ,
  b a a b b -> b ,
  b b a a b -> b }


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

b is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
a is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

Remains to prove termination of the 1-rule system
{ b a a a b b b -> b b b a a a b }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 8:

b is interpreted by
 /               \
| 1 0 1 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 1 0 0 0 1 0 |
| 0 0 1 0 0 1 0 1 |
| 0 1 0 0 0 0 0 0 |
 \               /
a is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 |
| 0 0 0 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 |
 \               /

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


The system is trivially terminating.