/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 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 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 |
| 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 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 1 0 |
| 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /

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

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

Remains to prove termination of the 2-rule system
{ b b a b -> b a b b ,
  b b a a 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 5:

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

Remains to prove termination of the 1-rule system
{ b b a a 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 6:

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

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


The system is trivially terminating.