YES
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| b(a(a(a(b(a(a(x0))))))) | → | a(a(a(b(b(a(a(a(b(x0))))))))) | 
| a(a(b(a(a(a(b(x0))))))) | → | b(a(a(a(b(b(a(a(a(x0))))))))) | 
final states:
{1}
transitions:
| 1 | → | 4 | 
| 1 | → | 3 | 
| 1 | → | 23 | 
| 6 | → | 21 | 
| 30 | → | 5 | 
| a1(28) | → | 29 | 
| a1(22) | → | 23 | 
| a1(23) | → | 24 | 
| a1(26) | → | 27 | 
| a1(27) | → | 28 | 
| a1(21) | → | 22 | 
| a0(7) | → | 8 | 
| a0(9) | → | 10 | 
| a0(8) | → | 9 | 
| a0(2) | → | 3 | 
| a0(4) | → | 5 | 
| a0(3) | → | 4 | 
| b0(6) | → | 7 | 
| b0(5) | → | 6 | 
| b0(10) | → | 1 | 
| f20 | → | 2 | 
| b1(24) | → | 25 | 
| b1(29) | → | 30 | 
| b1(25) | → | 26 |