YES
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| b(a(a(b(a(x0))))) | → | a(a(b(b(a(a(b(x0))))))) |
| a(b(a(a(b(x0))))) | → | b(a(a(b(b(a(a(x0))))))) |
final states:
{1}
transitions:
| 5 | → | 9 |
| 1 | → | 3 |
| 1 | → | 10 |
| 16 | → | 4 |
| 16 | → | 11 |
| a1(9) | → | 10 |
| a1(14) | → | 15 |
| a1(10) | → | 11 |
| a1(13) | → | 14 |
| a0(7) | → | 8 |
| a0(2) | → | 3 |
| a0(6) | → | 7 |
| a0(3) | → | 4 |
| b0(8) | → | 1 |
| b0(4) | → | 5 |
| b0(5) | → | 6 |
| f20 | → | 2 |
| b1(15) | → | 16 |
| b1(12) | → | 13 |
| b1(11) | → | 12 |