The rewrite relation of the following TRS is considered.
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(x1)))))))))) | (1) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(x1))))))))))))) | (2) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))) | (3) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))) | (4) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))) | (5) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))) | (6) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))) | (7) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))) | (8) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))) | (9) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))) | (10) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))) | (11) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))) | (12) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))) | (13) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) | (14) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (15) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (16) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (17) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (18) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (19) |
| 0(1(2(1(x1)))) | → | 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (20) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(1(1(2(1(x1)))))))))) | (21) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) | (22) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) | (23) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) | (24) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) | (25) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) | (26) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) | (27) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) | (28) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) | (29) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) | (30) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) | (31) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) | (32) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) | (33) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) | (34) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (35) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (36) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (37) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (38) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (39) |
| 1(2(1(0(x1)))) | → | 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) | (40) |
final states:
{0, 1, 2}
transitions:
| 10(0) | → | 0 |
| 10(1) | → | 0 |
| 10(2) | → | 0 |
| 20(0) | → | 1 |
| 20(1) | → | 1 |
| 20(2) | → | 1 |
| 00(0) | → | 2 |
| 00(1) | → | 2 |
| 00(2) | → | 2 |
| 11(0) | → | 10 |
| 21(10) | → | 9 |
| 11(9) | → | 8 |
| 11(8) | → | 7 |
| 01(7) | → | 6 |
| 11(6) | → | 3 |
| 21(3) | → | 5 |
| 01(5) | → | 4 |
| 11(4) | → | 3 |
| 21(3) | → | 0 |
| 11(1) | → | 10 |
| 11(2) | → | 10 |
| 11(7) | → | 10 |
| 11(5) | → | 10 |
| 12(7) | → | 18 |
| 22(18) | → | 17 |
| 12(17) | → | 16 |
| 12(16) | → | 15 |
| 02(15) | → | 14 |
| 12(14) | → | 11 |
| 22(11) | → | 13 |
| 02(13) | → | 12 |
| 12(12) | → | 11 |
| 22(11) | → | 10 |
| 12(5) | → | 18 |
| 12(15) | → | 18 |
| 13(15) | → | 26 |
| 23(26) | → | 25 |
| 13(25) | → | 24 |
| 13(24) | → | 23 |
| 03(23) | → | 22 |
| 13(22) | → | 19 |
| 23(19) | → | 21 |
| 03(21) | → | 20 |
| 13(20) | → | 19 |
| 23(19) | → | 18 |
| 13(13) | → | 26 |
| 5 | → | 10 |
| 5 | → | 8 |
| 13 | → | 7 |
| 13 | → | 18 |
| 21 | → | 26 |