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

c is interpreted by
 /   \
| 1 5 |
| 0 1 |
 \   /
a is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
d is interpreted by
 /   \
| 1 8 |
| 0 1 |
 \   /
b is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /

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


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

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

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


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

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

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


The system is trivially terminating.