YES

After renaming modulo { n->0, s->1, o->2, p->3, t->4, c->5, m->6 }, 
it remains to prove termination of the 15-rule system
{ 0 1 -> 1 ,
  2 1 -> 1 ,
  0 2 3 -> 2 0 ,
  4 ->= 4 5 0 ,
  3 1 ->= 1 ,
  2 0 ->= 0 2 ,
  3 0 ->= 6 3 ,
  3 6 ->= 6 3 ,
  2 6 ->= 0 2 ,
  0 3 ->= 3 0 ,
  5 3 ->= 3 5 ,
  5 6 ->= 6 5 ,
  5 0 ->= 0 5 ,
  5 2 ->= 2 5 ,
  5 2 ->= 2 }


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

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

After renaming modulo { 0->0, 1->1, 4->2, 5->3, 2->4, 3->5, 6->6 }, 
it remains to prove termination of the 12-rule system
{ 0 1 -> 1 ,
  2 ->= 2 3 0 ,
  4 0 ->= 0 4 ,
  5 0 ->= 6 5 ,
  5 6 ->= 6 5 ,
  4 6 ->= 0 4 ,
  0 5 ->= 5 0 ,
  3 5 ->= 5 3 ,
  3 6 ->= 6 3 ,
  3 0 ->= 0 3 ,
  3 4 ->= 4 3 ,
  3 4 ->= 4 }


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

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

After renaming modulo { 2->0, 3->1, 0->2, 4->3, 5->4, 6->5 }, 
it remains to prove termination of the 11-rule system
{ 0 ->= 0 1 2 ,
  3 2 ->= 2 3 ,
  4 2 ->= 5 4 ,
  4 5 ->= 5 4 ,
  3 5 ->= 2 3 ,
  2 4 ->= 4 2 ,
  1 4 ->= 4 1 ,
  1 5 ->= 5 1 ,
  1 2 ->= 2 1 ,
  1 3 ->= 3 1 ,
  1 3 ->= 3 }

The system is trivially terminating.