/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:

p is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
s is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
n is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
o is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
m is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
t is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
c is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

Remains to prove termination of the 13-rule system
{ n s -> s ,
  o s -> s ,
  o n -> n o ,
  o m -> n o ,
  t ->= t c n ,
  p n ->= m p ,
  p m ->= m p ,
  n p ->= p n ,
  c p ->= p c ,
  c m ->= m c ,
  c n ->= n c ,
  c o ->= o c ,
  c o ->= o }


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

p is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
s is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
n is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
o is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
m is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
t is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
c is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

Remains to prove termination of the 12-rule system
{ n s -> s ,
  o n -> n o ,
  o m -> n o ,
  t ->= t c n ,
  p n ->= m p ,
  p m ->= m p ,
  n p ->= p n ,
  c p ->= p c ,
  c m ->= m c ,
  c n ->= n c ,
  c o ->= o c ,
  c o ->= o }


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

p is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 1 |
 \     /
s is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 1 0 |
 \     /
n is interpreted by
 /     \
| 1 0 1 |
| 0 1 0 |
| 0 0 1 |
 \     /
o is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /
m is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /
t is interpreted by
 /     \
| 1 0 1 |
| 0 1 0 |
| 0 0 0 |
 \     /
c is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /

Remains to prove termination of the 11-rule system
{ o n -> n o ,
  o m -> n o ,
  t ->= t c n ,
  p n ->= m p ,
  p m ->= m p ,
  n p ->= p n ,
  c p ->= p c ,
  c m ->= m c ,
  c n ->= n c ,
  c o ->= o c ,
  c o ->= o }


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

p is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 1 |
 \     /
s is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /
n is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 1 1 |
 \     /
o is interpreted by
 /     \
| 1 0 1 |
| 0 1 0 |
| 0 0 1 |
 \     /
m is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 1 1 |
 \     /
t is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 0 |
 \     /
c is interpreted by
 /     \
| 1 0 0 |
| 0 1 0 |
| 0 0 1 |
 \     /

Remains to prove termination of the 9-rule system
{ t ->= t c n ,
  p n ->= m p ,
  p m ->= m p ,
  n p ->= p n ,
  c p ->= p c ,
  c m ->= m c ,
  c n ->= n c ,
  c o ->= o c ,
  c o ->= o }


The system is trivially terminating.