/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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 5 |
| 0 1 |
 \   /
b is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /
c is interpreted by
 /   \
| 1 0 |
| 0 5 |
 \   /
d is interpreted by
 /   \
| 5 0 |
| 0 1 |
 \   /

Remains to prove termination of the 4-rule system
{ a c -> b b c a ,
  d b b b -> a d a ,
  a b ->= b a ,
  b a ->= a b }


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

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

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


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

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

Remains to prove termination of the 2-rule system
{ a b ->= b a ,
  b a ->= a b }


The system is trivially terminating.