YES
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| c(a(a(b(c(a(x0)))))) | → | a(a(b(c(c(a(a(b(c(x0))))))))) | 
| a(c(b(a(a(c(x0)))))) | → | c(b(a(a(c(c(b(a(a(x0))))))))) | 
final states:
{1}
transitions:
| 20 | → | 4 | 
| 20 | → | 13 | 
| 1 | → | 3 | 
| 1 | → | 12 | 
| 6 | → | 11 | 
| a0(8) | → | 9 | 
| a0(3) | → | 4 | 
| a0(7) | → | 8 | 
| a0(2) | → | 3 | 
| c0(5) | → | 6 | 
| c0(10) | → | 1 | 
| c0(6) | → | 7 | 
| b1(18) | → | 19 | 
| b1(13) | → | 14 | 
| a1(16) | → | 17 | 
| a1(11) | → | 12 | 
| a1(17) | → | 18 | 
| a1(12) | → | 13 | 
| c1(19) | → | 20 | 
| c1(14) | → | 15 | 
| c1(15) | → | 16 | 
| f30 | → | 2 | 
| b0(9) | → | 10 | 
| b0(4) | → | 5 |