/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 5:

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

Remains to prove termination of the 45-rule system
{ 0 0 1 -> 0 1 2 0 ,
  0 0 1 -> 0 3 1 0 ,
  0 0 1 -> 1 0 4 0 ,
  0 0 1 -> 0 1 3 0 2 ,
  0 0 1 -> 0 1 3 0 4 ,
  0 0 1 -> 0 2 0 1 2 ,
  0 0 1 -> 0 3 0 1 2 ,
  0 0 1 -> 0 3 0 3 1 ,
  0 0 1 -> 0 4 0 4 1 ,
  0 0 1 -> 1 2 0 2 0 ,
  0 0 1 -> 1 2 2 0 0 ,
  0 0 1 -> 0 0 2 2 1 2 ,
  0 0 1 -> 0 1 2 4 2 0 ,
  0 0 1 -> 1 2 0 3 0 4 ,
  0 1 1 -> 0 2 1 1 ,
  0 1 1 -> 0 3 1 1 ,
  0 1 1 -> 1 1 3 0 4 ,
  0 1 1 -> 1 2 0 2 1 ,
  0 1 1 -> 1 0 3 1 2 4 ,
  0 1 1 -> 1 0 4 2 1 2 ,
  0 1 1 -> 1 1 2 4 3 0 ,
  0 1 1 -> 1 2 1 0 4 4 ,
  0 1 1 -> 1 2 2 1 3 0 ,
  0 5 1 -> 0 3 1 5 ,
  0 5 1 -> 0 4 5 1 ,
  0 5 1 -> 0 2 3 1 5 ,
  0 5 1 -> 0 3 1 5 2 ,
  0 5 1 -> 0 3 1 2 5 2 ,
  5 0 1 -> 5 1 2 4 0 ,
  5 0 1 -> 5 0 2 1 2 4 ,
  5 0 1 -> 5 1 2 3 0 4 ,
  0 0 1 5 -> 0 4 1 0 5 ,
  0 0 2 1 -> 2 0 3 0 2 1 ,
  0 0 2 1 -> 2 3 0 2 0 1 ,
  0 1 0 1 -> 1 0 2 0 1 ,
  0 1 1 1 -> 1 1 3 1 0 ,
  5 0 1 1 -> 1 5 1 2 0 ,
  5 3 0 1 -> 5 1 2 3 0 ,
  5 3 2 1 -> 1 2 3 5 2 ,
  5 4 0 1 -> 1 2 5 0 4 ,
  0 0 5 1 5 -> 1 2 5 5 0 0 ,
  0 5 3 0 1 -> 1 0 5 3 0 4 ,
  0 5 3 4 1 -> 1 0 3 5 4 5 ,
  0 5 4 0 1 -> 0 1 3 0 4 5 ,
  5 4 2 1 1 -> 5 4 1 2 1 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

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

Remains to prove termination of the 39-rule system
{ 0 0 1 -> 0 1 2 0 ,
  0 0 1 -> 0 3 1 0 ,
  0 0 1 -> 1 0 4 0 ,
  0 0 1 -> 0 1 3 0 2 ,
  0 0 1 -> 0 1 3 0 4 ,
  0 0 1 -> 0 2 0 1 2 ,
  0 0 1 -> 0 3 0 1 2 ,
  0 0 1 -> 0 3 0 3 1 ,
  0 0 1 -> 0 4 0 4 1 ,
  0 0 1 -> 1 2 0 2 0 ,
  0 0 1 -> 1 2 2 0 0 ,
  0 0 1 -> 0 0 2 2 1 2 ,
  0 0 1 -> 0 1 2 4 2 0 ,
  0 0 1 -> 1 2 0 3 0 4 ,
  0 1 1 -> 0 2 1 1 ,
  0 1 1 -> 0 3 1 1 ,
  0 1 1 -> 1 1 3 0 4 ,
  0 1 1 -> 1 2 0 2 1 ,
  0 1 1 -> 1 0 3 1 2 4 ,
  0 1 1 -> 1 0 4 2 1 2 ,
  0 1 1 -> 1 1 2 4 3 0 ,
  0 1 1 -> 1 2 1 0 4 4 ,
  0 1 1 -> 1 2 2 1 3 0 ,
  0 5 1 -> 0 3 1 5 ,
  0 5 1 -> 0 4 5 1 ,
  0 5 1 -> 0 2 3 1 5 ,
  0 5 1 -> 0 3 1 5 2 ,
  5 0 1 -> 5 1 2 4 0 ,
  5 0 1 -> 5 0 2 1 2 4 ,
  5 0 1 -> 5 1 2 3 0 4 ,
  0 0 2 1 -> 2 0 3 0 2 1 ,
  0 0 2 1 -> 2 3 0 2 0 1 ,
  0 1 0 1 -> 1 0 2 0 1 ,
  0 1 1 1 -> 1 1 3 1 0 ,
  5 0 1 1 -> 1 5 1 2 0 ,
  5 3 0 1 -> 5 1 2 3 0 ,
  0 5 3 0 1 -> 1 0 5 3 0 4 ,
  0 5 3 4 1 -> 1 0 3 5 4 5 ,
  5 4 2 1 1 -> 5 4 1 2 1 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

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

Remains to prove termination of the 15-rule system
{ 0 0 1 -> 0 2 0 1 2 ,
  0 0 1 -> 0 3 0 1 2 ,
  0 0 1 -> 0 3 0 3 1 ,
  0 0 1 -> 0 4 0 4 1 ,
  0 0 1 -> 0 0 2 2 1 2 ,
  0 1 1 -> 0 2 1 1 ,
  0 1 1 -> 0 3 1 1 ,
  0 5 1 -> 0 3 1 5 ,
  0 5 1 -> 0 4 5 1 ,
  0 5 1 -> 0 2 3 1 5 ,
  0 5 1 -> 0 3 1 5 2 ,
  5 0 1 -> 5 0 2 1 2 4 ,
  0 0 2 1 -> 2 0 3 0 2 1 ,
  0 0 2 1 -> 2 3 0 2 0 1 ,
  5 4 2 1 1 -> 5 4 1 2 1 2 }


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

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

Remains to prove termination of the 10-rule system
{ 0 1 1 -> 0 2 1 1 ,
  0 1 1 -> 0 3 1 1 ,
  0 5 1 -> 0 3 1 5 ,
  0 5 1 -> 0 4 5 1 ,
  0 5 1 -> 0 2 3 1 5 ,
  0 5 1 -> 0 3 1 5 2 ,
  5 0 1 -> 5 0 2 1 2 4 ,
  0 0 2 1 -> 2 0 3 0 2 1 ,
  0 0 2 1 -> 2 3 0 2 0 1 ,
  5 4 2 1 1 -> 5 4 1 2 1 2 }


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

0 is interpreted by
 /       \
| 1 0 1 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 1 0 0 |
 \       /
2 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 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 0 0 |
 \       /
5 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 6-rule system
{ 0 1 1 -> 0 2 1 1 ,
  0 1 1 -> 0 3 1 1 ,
  5 0 1 -> 5 0 2 1 2 4 ,
  0 0 2 1 -> 2 0 3 0 2 1 ,
  0 0 2 1 -> 2 3 0 2 0 1 ,
  5 4 2 1 1 -> 5 4 1 2 1 2 }


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

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

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


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 6:

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

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


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 5:

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

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


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

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

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


The system is trivially terminating.