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 |