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


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


YES


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 |
 \   /
c is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
a is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
d is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /

Remains to prove termination of the 4-rule system
{ c d -> d c ,
  c d b -> d c c ,
  d c -> b b b ,
  c b -> d a }


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 0 |
| 0 2 0 |
| 0 0 0 |
 \     /
c is interpreted by
 /     \
| 1 2 0 |
| 0 2 0 |
| 0 1 0 |
 \     /
a is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /
d is interpreted by
 /     \
| 1 0 1 |
| 0 4 0 |
| 0 0 0 |
 \     /

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


The system is trivially terminating.