YES

After renaming modulo { r->0, s->1, n->2, b->3, u->4, t->5, c->6 }, 
it remains to prove termination of the 15-rule system
{ 0 0 -> 1 0 ,
  0 1 -> 1 0 ,
  0 2 -> 1 0 ,
  0 3 -> 4 1 3 ,
  0 4 -> 4 0 ,
  1 4 -> 4 1 ,
  2 4 -> 4 2 ,
  5 0 4 -> 5 6 0 ,
  5 1 4 -> 5 6 0 ,
  5 2 4 -> 5 6 0 ,
  6 4 -> 4 6 ,
  6 1 -> 1 6 ,
  6 0 -> 0 6 ,
  6 2 -> 2 6 ,
  6 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 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 3->2, 4->3, 2->4, 5->5, 6->6 }, 
it remains to prove termination of the 13-rule system
{ 0 0 -> 1 0 ,
  0 1 -> 1 0 ,
  0 2 -> 3 1 2 ,
  0 3 -> 3 0 ,
  1 3 -> 3 1 ,
  4 3 -> 3 4 ,
  5 0 3 -> 5 6 0 ,
  5 1 3 -> 5 6 0 ,
  6 3 -> 3 6 ,
  6 1 -> 1 6 ,
  6 0 -> 0 6 ,
  6 4 -> 4 6 ,
  6 4 -> 4 }


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 1 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 0 |
| 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, 2->2, 3->3, 4->4, 5->5, 6->6 }, 
it remains to prove termination of the 11-rule system
{ 0 1 -> 1 0 ,
  0 2 -> 3 1 2 ,
  0 3 -> 3 0 ,
  1 3 -> 3 1 ,
  4 3 -> 3 4 ,
  5 1 3 -> 5 6 0 ,
  6 3 -> 3 6 ,
  6 1 -> 1 6 ,
  6 0 -> 0 6 ,
  6 4 -> 4 6 ,
  6 4 -> 4 }


Applying the dependency pairs transformation.

After renaming modulo { (0,true)->0, (1,false)->1, (1,true)->2, (0,false)->3, (2,false)->4, (3,false)->5, (4,true)->6, (5,true)->7, (6,false)->8, (6,true)->9, (4,false)->10, (5,false)->11 },
it remains to prove termination of the 28-rule system
{ 0 1 -> 2 3 ,
  0 1 -> 0 ,
  0 4 -> 2 4 ,
  0 5 -> 0 ,
  2 5 -> 2 ,
  6 5 -> 6 ,
  7 1 5 -> 7 8 3 ,
  7 1 5 -> 9 3 ,
  7 1 5 -> 0 ,
  9 5 -> 9 ,
  9 1 -> 2 8 ,
  9 1 -> 9 ,
  9 3 -> 0 8 ,
  9 3 -> 9 ,
  9 10 -> 6 8 ,
  9 10 -> 9 ,
  9 10 -> 6 ,
  3 1 ->= 1 3 ,
  3 4 ->= 5 1 4 ,
  3 5 ->= 5 3 ,
  1 5 ->= 5 1 ,
  10 5 ->= 5 10 ,
  11 1 5 ->= 11 8 3 ,
  8 5 ->= 5 8 ,
  8 1 ->= 1 8 ,
  8 3 ->= 3 8 ,
  8 10 ->= 10 8 ,
  8 10 ->= 10 }


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 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 0 |
| 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 |
 \   /
7 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
8 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
9 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11 }, 
it remains to prove termination of the 23-rule system
{ 0 1 -> 2 3 ,
  0 1 -> 0 ,
  0 4 -> 2 4 ,
  0 5 -> 0 ,
  2 5 -> 2 ,
  6 5 -> 6 ,
  7 1 5 -> 7 8 3 ,
  9 5 -> 9 ,
  9 1 -> 2 8 ,
  9 1 -> 9 ,
  9 3 -> 0 8 ,
  9 3 -> 9 ,
  3 1 ->= 1 3 ,
  3 4 ->= 5 1 4 ,
  3 5 ->= 5 3 ,
  1 5 ->= 5 1 ,
  10 5 ->= 5 10 ,
  11 1 5 ->= 11 8 3 ,
  8 5 ->= 5 8 ,
  8 1 ->= 1 8 ,
  8 3 ->= 3 8 ,
  8 10 ->= 10 8 ,
  8 10 ->= 10 }


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 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
7 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
8 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
9 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11 }, 
it remains to prove termination of the 21-rule system
{ 0 1 -> 2 3 ,
  0 1 -> 0 ,
  0 4 -> 2 4 ,
  0 5 -> 0 ,
  2 5 -> 2 ,
  6 5 -> 6 ,
  7 1 5 -> 7 8 3 ,
  9 5 -> 9 ,
  9 1 -> 9 ,
  9 3 -> 9 ,
  3 1 ->= 1 3 ,
  3 4 ->= 5 1 4 ,
  3 5 ->= 5 3 ,
  1 5 ->= 5 1 ,
  10 5 ->= 5 10 ,
  11 1 5 ->= 11 8 3 ,
  8 5 ->= 5 8 ,
  8 1 ->= 1 8 ,
  8 3 ->= 3 8 ,
  8 10 ->= 10 8 ,
  8 10 ->= 10 }


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 1 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
7 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
8 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
9 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 5->2, 2->3, 6->4, 7->5, 8->6, 3->7, 9->8, 4->9, 10->10, 11->11 }, 
it remains to prove termination of the 19-rule system
{ 0 1 -> 0 ,
  0 2 -> 0 ,
  3 2 -> 3 ,
  4 2 -> 4 ,
  5 1 2 -> 5 6 7 ,
  8 2 -> 8 ,
  8 1 -> 8 ,
  8 7 -> 8 ,
  7 1 ->= 1 7 ,
  7 9 ->= 2 1 9 ,
  7 2 ->= 2 7 ,
  1 2 ->= 2 1 ,
  10 2 ->= 2 10 ,
  11 1 2 ->= 11 6 7 ,
  6 2 ->= 2 6 ,
  6 1 ->= 1 6 ,
  6 7 ->= 7 6 ,
  6 10 ->= 10 6 ,
  6 10 ->= 10 }


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 0 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
7 is interpreted by
 /   \
| 1 2 |
| 0 1 |
 \   /
8 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
9 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo { 5->0, 1->1, 2->2, 6->3, 7->4, 9->5, 10->6, 11->7 }, 
it remains to prove termination of the 12-rule system
{ 0 1 2 -> 0 3 4 ,
  4 1 ->= 1 4 ,
  4 5 ->= 2 1 5 ,
  4 2 ->= 2 4 ,
  1 2 ->= 2 1 ,
  6 2 ->= 2 6 ,
  7 1 2 ->= 7 3 4 ,
  3 2 ->= 2 3 ,
  3 1 ->= 1 3 ,
  3 4 ->= 4 3 ,
  3 6 ->= 6 3 ,
  3 6 ->= 6 }


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

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 6->5, 7->6 }, 
it remains to prove termination of the 11-rule system
{ 0 1 2 -> 0 3 4 ,
  4 1 ->= 1 4 ,
  4 2 ->= 2 4 ,
  1 2 ->= 2 1 ,
  5 2 ->= 2 5 ,
  6 1 2 ->= 6 3 4 ,
  3 2 ->= 2 3 ,
  3 1 ->= 1 3 ,
  3 4 ->= 4 3 ,
  3 5 ->= 5 3 ,
  3 5 ->= 5 }


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

After renaming modulo { 4->0, 1->1, 2->2, 5->3, 3->4 }, 
it remains to prove termination of the 8-rule system
{ 0 1 ->= 1 0 ,
  0 2 ->= 2 0 ,
  1 2 ->= 2 1 ,
  3 2 ->= 2 3 ,
  4 2 ->= 2 4 ,
  4 1 ->= 1 4 ,
  4 0 ->= 0 4 ,
  4 3 ->= 3 4 }

The system is trivially terminating.