/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 5:

2 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
5 is interpreted by
 /         \
| 1 0 1 0 0 |
| 0 1 0 0 0 |
| 0 0 0 1 0 |
| 0 0 0 0 0 |
| 0 1 0 0 0 |
 \         /
1 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 1 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
3 is interpreted by
 /         \
| 1 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 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 0 |
 \         /
4 is interpreted by
 /         \
| 1 0 0 0 0 |
| 0 1 0 0 0 |
| 0 0 0 0 0 |
| 0 0 0 0 1 |
| 0 0 0 0 0 |
 \         /

Remains to prove termination of the 33-rule system
{ 2 5 -> 1 3 3 0 1 0 ,
  2 5 -> 2 2 0 5 0 1 ,
  3 5 -> 1 3 2 0 0 1 ,
  3 5 -> 3 2 0 5 3 0 ,
  4 5 -> 2 2 1 3 2 1 ,
  4 5 -> 3 2 0 5 0 0 ,
  1 2 5 -> 1 0 5 0 5 4 ,
  1 2 5 -> 1 2 2 1 0 1 ,
  1 2 5 -> 2 0 1 3 1 0 ,
  1 4 5 -> 1 2 4 0 2 1 ,
  2 5 1 -> 2 2 2 1 2 3 ,
  2 5 2 -> 4 0 2 2 3 3 ,
  2 5 3 -> 2 0 4 1 3 3 ,
  2 5 4 -> 2 0 5 1 0 1 ,
  3 2 5 -> 3 2 0 1 0 5 ,
  3 4 2 -> 3 4 0 2 2 2 ,
  3 5 1 -> 0 4 2 0 0 5 ,
  3 5 1 -> 0 4 2 2 3 4 ,
  3 5 1 -> 2 1 4 1 0 1 ,
  3 5 2 -> 0 4 3 2 2 2 ,
  3 5 2 -> 2 0 2 2 3 0 ,
  3 5 2 -> 2 3 3 2 1 2 ,
  3 5 3 -> 0 2 4 3 3 0 ,
  3 5 3 -> 0 5 4 3 3 0 ,
  3 5 3 -> 2 3 4 0 4 2 ,
  3 5 4 -> 0 2 0 5 0 0 ,
  3 5 4 -> 0 5 0 0 1 2 ,
  3 5 5 -> 0 5 4 1 0 5 ,
  4 5 1 -> 2 1 0 5 3 3 ,
  4 5 2 -> 0 5 1 0 0 4 ,
  4 5 4 -> 2 2 1 0 4 2 ,
  4 5 4 -> 3 2 0 3 2 0 ,
  5 5 4 -> 5 1 0 4 2 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 4:

2 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 1 0 |
 \       /
5 is interpreted by
 /       \
| 1 0 1 0 |
| 0 1 0 0 |
| 0 1 0 1 |
| 0 0 0 0 |
 \       /
1 is interpreted by
 /       \
| 1 0 1 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
 \       /
3 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
 \       /
0 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
 \       /
4 is interpreted by
 /       \
| 1 0 1 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 1 0 0 |
 \       /

Remains to prove termination of the 24-rule system
{ 2 5 -> 1 3 3 0 1 0 ,
  2 5 -> 2 2 0 5 0 1 ,
  3 5 -> 1 3 2 0 0 1 ,
  3 5 -> 3 2 0 5 3 0 ,
  1 2 5 -> 1 0 5 0 5 4 ,
  1 2 5 -> 1 2 2 1 0 1 ,
  1 2 5 -> 2 0 1 3 1 0 ,
  2 5 1 -> 2 2 2 1 2 3 ,
  2 5 2 -> 4 0 2 2 3 3 ,
  2 5 3 -> 2 0 4 1 3 3 ,
  2 5 4 -> 2 0 5 1 0 1 ,
  3 2 5 -> 3 2 0 1 0 5 ,
  3 4 2 -> 3 4 0 2 2 2 ,
  3 5 1 -> 0 4 2 0 0 5 ,
  3 5 1 -> 0 4 2 2 3 4 ,
  3 5 1 -> 2 1 4 1 0 1 ,
  3 5 2 -> 0 4 3 2 2 2 ,
  3 5 2 -> 2 0 2 2 3 0 ,
  3 5 2 -> 2 3 3 2 1 2 ,
  3 5 3 -> 0 2 4 3 3 0 ,
  3 5 3 -> 0 5 4 3 3 0 ,
  3 5 3 -> 2 3 4 0 4 2 ,
  3 5 4 -> 0 2 0 5 0 0 ,
  3 5 4 -> 0 5 0 0 1 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 4:

2 is interpreted by
 /       \
| 1 0 1 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
 \       /
5 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 1 |
| 0 0 0 0 |
 \       /
1 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 1 0 |
 \       /
3 is interpreted by
 /       \
| 1 0 1 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 1 0 0 |
 \       /
0 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
 \       /
4 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 1 0 |
 \       /

Remains to prove termination of the 20-rule system
{ 2 5 -> 1 3 3 0 1 0 ,
  2 5 -> 2 2 0 5 0 1 ,
  3 5 -> 1 3 2 0 0 1 ,
  3 5 -> 3 2 0 5 3 0 ,
  1 2 5 -> 1 0 5 0 5 4 ,
  1 2 5 -> 1 2 2 1 0 1 ,
  1 2 5 -> 2 0 1 3 1 0 ,
  2 5 1 -> 2 2 2 1 2 3 ,
  2 5 2 -> 4 0 2 2 3 3 ,
  2 5 4 -> 2 0 5 1 0 1 ,
  3 2 5 -> 3 2 0 1 0 5 ,
  3 4 2 -> 3 4 0 2 2 2 ,
  3 5 1 -> 0 4 2 0 0 5 ,
  3 5 1 -> 0 4 2 2 3 4 ,
  3 5 1 -> 2 1 4 1 0 1 ,
  3 5 2 -> 0 4 3 2 2 2 ,
  3 5 2 -> 2 0 2 2 3 0 ,
  3 5 2 -> 2 3 3 2 1 2 ,
  3 5 4 -> 0 2 0 5 0 0 ,
  3 5 4 -> 0 5 0 0 1 2 }


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

2 is interpreted by
 /     \
| 1 0 1 |
| 0 1 0 |
| 0 0 0 |
 \     /
5 is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 1 1 |
 \     /
1 is interpreted by
 /     \
| 1 0 1 |
| 0 1 0 |
| 0 0 0 |
 \     /
3 is interpreted by
 /     \
| 1 0 1 |
| 0 1 0 |
| 0 0 0 |
 \     /
0 is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /
4 is interpreted by
 /     \
| 1 0 1 |
| 0 1 0 |
| 0 0 0 |
 \     /

Remains to prove termination of the 1-rule system
{ 3 4 2 -> 3 4 0 2 2 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 4:

2 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 1 0 0 |
 \       /
5 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
 \       /
1 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
 \       /
3 is interpreted by
 /       \
| 1 0 1 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
 \       /
0 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 0 |
| 0 0 0 0 |
 \       /
4 is interpreted by
 /       \
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 0 1 |
| 0 0 0 0 |
 \       /

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


The system is trivially terminating.