/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:

f is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
0 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
s is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
d is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

Remains to prove termination of the 3-rule system
{ d 0 -> 0 ,
  d s -> s s d ,
  f s -> d f }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 3:

f is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /
0 is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 1 0 |
 \     /
s is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 1 |
 \     /
d is interpreted by
 /     \
| 1 0 1 |
| 0 1 0 |
| 0 0 1 |
 \     /

Remains to prove termination of the 2-rule system
{ d s -> s s d ,
  f s -> d f }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 3:

f is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /
0 is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /
s is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 1 1 |
 \     /
d is interpreted by
 /     \
| 1 0 1 |
| 0 1 0 |
| 0 0 2 |
 \     /

Remains to prove termination of the 1-rule system
{ f s -> d f }


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

f is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
0 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
s is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
d is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

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


The system is trivially terminating.