YES
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| b(a(b(b(b(b(x0)))))) | → | a(b(b(b(b(b(a(x0))))))) | 
| b(b(b(b(a(b(x0)))))) | → | a(b(b(b(b(b(a(x0))))))) | 
final states:
{1}
transitions:
| 1 | → | 7 | 
| a0(8) | → | 1 | 
| a0(2) | → | 3 | 
| b0(5) | → | 6 | 
| b0(7) | → | 8 | 
| b0(6) | → | 7 | 
| b0(4) | → | 5 | 
| b0(3) | → | 4 | 
| f20 | → | 2 |