YES
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| c(a(b(a(b(x0))))) | → | a(b(a(b(b(a(b(b(c(a(b(c(a(x0))))))))))))) | 
| b(a(b(a(c(x0))))) | → | a(c(b(a(c(b(b(a(b(b(a(b(a(x0))))))))))))) | 
final states:
{1}
transitions:
| 23 | → | 113 | 
| 10 | → | 57 | 
| 84 | → | 59 | 
| 1 | → | 6 | 
| 1 | → | 4 | 
| 13 | → | 15 | 
| 26 | → | 71 | 
| 28 | → | 9 | 
| 126 | → | 73 | 
| 70 | → | 17 | 
| b0(9) | → | 10 | 
| b0(8) | → | 9 | 
| b0(3) | → | 4 | 
| b0(5) | → | 6 | 
| b0(12) | → | 13 | 
| b0(6) | → | 7 | 
| b2(123) | → | 124 | 
| b2(120) | → | 121 | 
| b2(114) | → | 115 | 
| b2(119) | → | 120 | 
| b2(117) | → | 118 | 
| b2(116) | → | 117 | 
| a0(7) | → | 8 | 
| a0(2) | → | 3 | 
| a0(14) | → | 1 | 
| a0(4) | → | 5 | 
| a0(11) | → | 12 | 
| c1(65) | → | 66 | 
| c1(23) | → | 24 | 
| c1(26) | → | 27 | 
| c1(79) | → | 80 | 
| c1(82) | → | 83 | 
| c1(68) | → | 69 | 
| b1(74) | → | 75 | 
| b1(16) | → | 17 | 
| b1(67) | → | 68 | 
| b1(19) | → | 20 | 
| b1(78) | → | 79 | 
| b1(25) | → | 26 | 
| b1(77) | → | 78 | 
| b1(58) | → | 59 | 
| b1(61) | → | 62 | 
| b1(21) | → | 22 | 
| b1(18) | → | 19 | 
| b1(64) | → | 65 | 
| b1(60) | → | 61 | 
| b1(75) | → | 76 | 
| b1(72) | → | 73 | 
| b1(81) | → | 82 | 
| b1(63) | → | 64 | 
| b1(22) | → | 23 | 
| a2(113) | → | 114 | 
| a2(115) | → | 116 | 
| a2(125) | → | 126 | 
| a2(118) | → | 119 | 
| a2(122) | → | 123 | 
| a1(80) | → | 81 | 
| a1(24) | → | 25 | 
| a1(71) | → | 72 | 
| a1(76) | → | 77 | 
| a1(17) | → | 18 | 
| a1(83) | → | 84 | 
| a1(66) | → | 67 | 
| a1(62) | → | 63 | 
| a1(15) | → | 16 | 
| a1(27) | → | 28 | 
| a1(20) | → | 21 | 
| a1(73) | → | 74 | 
| a1(57) | → | 58 | 
| a1(59) | → | 60 | 
| a1(69) | → | 70 | 
| f30 | → | 2 | 
| c2(124) | → | 125 | 
| c2(121) | → | 122 | 
| c0(10) | → | 11 | 
| c0(13) | → | 14 |