YES
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
a(a(b(b(a(b(x0)))))) | → | a(b(b(a(a(b(b(a(x0)))))))) |
b(a(b(b(a(a(x0)))))) | → | a(b(b(a(a(b(b(a(x0)))))))) |
final states:
{1}
transitions:
18 | → | 5 |
18 | → | 13 |
5 | → | 10 |
1 | → | 4 |
1 | → | 12 |
b1(11) | → | 12 |
b1(15) | → | 16 |
b1(16) | → | 17 |
b1(12) | → | 13 |
b0(7) | → | 8 |
b0(8) | → | 9 |
b0(4) | → | 5 |
b0(3) | → | 4 |
a0(9) | → | 1 |
a0(2) | → | 3 |
a0(6) | → | 7 |
a0(5) | → | 6 |
f20 | → | 2 |
a1(10) | → | 11 |
a1(13) | → | 14 |
a1(17) | → | 18 |
a1(14) | → | 15 |