/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:

a is interpreted by
 /     \
|  1 16 |
|  0  1 |
 \     /
b is interpreted by
 /     \
|  1 17 |
|  0  1 |
 \     /
c is interpreted by
 /     \
|  1 15 |
|  0  1 |
 \     /
d is interpreted by
 /     \
|  1 18 |
|  0  1 |
 \     /
f is interpreted by
 /     \
|  1 12 |
|  0  1 |
 \     /
g is interpreted by
 /   \
| 1 8 |
| 0 1 |
 \   /

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


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

a is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
b is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
c is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /
d is interpreted by
 /   \
| 1 3 |
| 0 1 |
 \   /
f is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
g is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /

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


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

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

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


The system is trivially terminating.