The relative rewrite relation R/S is considered where R is the following TRS
0(0(0(1(3(2(2(3(0(2(2(0(1(0(0(0(1(2(x1)))))))))))))))))) | → | 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(x1)))))))))))))))))) | (1) |
0(0(1(1(3(2(3(2(3(2(0(0(2(3(2(3(1(0(x1)))))))))))))))))) | → | 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(x1)))))))))))))))))) | (2) |
0(0(1(3(2(1(0(1(2(2(1(1(1(1(2(3(2(2(x1)))))))))))))))))) | → | 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(x1)))))))))))))))))) | (3) |
0(0(2(0(0(0(1(1(0(2(2(3(3(0(0(3(0(2(x1)))))))))))))))))) | → | 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(x1)))))))))))))))))) | (4) |
0(0(2(0(1(1(2(0(1(0(1(0(1(0(2(3(2(0(x1)))))))))))))))))) | → | 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(x1)))))))))))))))))) | (5) |
0(0(2(0(3(2(2(3(3(1(3(2(1(1(3(0(0(1(x1)))))))))))))))))) | → | 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(x1)))))))))))))))))) | (6) |
0(0(2(1(0(0(1(0(1(0(3(1(3(3(2(0(1(1(x1)))))))))))))))))) | → | 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(x1)))))))))))))))))) | (7) |
0(0(3(1(0(0(2(2(0(0(0(2(2(3(2(2(2(0(x1)))))))))))))))))) | → | 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(x1)))))))))))))))))) | (8) |
0(0(3(2(0(0(1(0(1(3(2(3(2(2(2(0(1(1(x1)))))))))))))))))) | → | 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(x1)))))))))))))))))) | (9) |
0(0(3(3(1(3(3(0(1(3(2(3(3(3(0(3(3(3(x1)))))))))))))))))) | → | 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(x1)))))))))))))))))) | (10) |
0(1(0(1(0(3(0(1(3(1(3(0(1(0(1(3(2(1(x1)))))))))))))))))) | → | 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(x1)))))))))))))))))) | (11) |
0(1(0(3(2(2(3(2(0(1(1(1(1(0(1(0(1(1(x1)))))))))))))))))) | → | 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(x1)))))))))))))))))) | (12) |
0(1(1(0(0(2(2(0(3(2(1(0(3(1(1(0(2(2(x1)))))))))))))))))) | → | 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(x1)))))))))))))))))) | (13) |
0(2(0(2(2(1(1(0(2(0(0(0(1(0(3(0(2(0(x1)))))))))))))))))) | → | 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(x1)))))))))))))))))) | (14) |
0(2(2(0(3(1(3(1(3(3(1(2(1(0(0(2(0(1(x1)))))))))))))))))) | → | 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(x1)))))))))))))))))) | (15) |
0(2(2(1(3(0(0(1(3(0(1(0(3(3(2(0(1(3(x1)))))))))))))))))) | → | 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(x1)))))))))))))))))) | (16) |
0(2(2(2(2(2(1(3(1(0(1(2(3(2(0(1(1(2(x1)))))))))))))))))) | → | 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(x1)))))))))))))))))) | (17) |
0(2(2(2(3(3(0(1(3(1(1(1(0(1(3(2(0(2(x1)))))))))))))))))) | → | 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(x1)))))))))))))))))) | (18) |
0(2(3(1(3(2(3(1(1(0(2(3(2(1(0(0(1(2(x1)))))))))))))))))) | → | 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(x1)))))))))))))))))) | (19) |
0(2(3(1(3(3(1(3(2(3(2(2(1(0(1(1(1(1(x1)))))))))))))))))) | → | 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(x1)))))))))))))))))) | (20) |
0(2(3(2(1(1(3(3(1(3(0(1(0(1(1(3(2(1(x1)))))))))))))))))) | → | 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(x1)))))))))))))))))) | (21) |
0(2(3(3(2(1(3(0(1(3(1(3(3(0(2(1(0(1(x1)))))))))))))))))) | → | 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x1)))))))))))))))))) | (22) |
0(3(0(1(3(1(3(2(0(1(0(1(0(0(3(1(1(3(x1)))))))))))))))))) | → | 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(x1)))))))))))))))))) | (23) |
0(3(1(0(0(3(0(0(1(0(3(2(1(3(0(0(1(2(x1)))))))))))))))))) | → | 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(x1)))))))))))))))))) | (24) |
0(3(1(0(2(2(1(0(1(1(0(0(3(1(2(2(3(0(x1)))))))))))))))))) | → | 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(x1)))))))))))))))))) | (25) |
1(0(0(0(1(3(2(2(2(2(2(3(1(3(1(1(1(1(x1)))))))))))))))))) | → | 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(x1)))))))))))))))))) | (26) |
1(0(0(0(3(0(2(3(1(2(3(1(1(2(2(2(2(3(x1)))))))))))))))))) | → | 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(x1)))))))))))))))))) | (27) |
1(0(1(0(1(3(0(2(3(0(1(3(3(2(1(0(1(3(x1)))))))))))))))))) | → | 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(x1)))))))))))))))))) | (28) |
1(0(1(1(3(2(1(1(0(0(0(1(3(0(0(0(1(0(x1)))))))))))))))))) | → | 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(x1)))))))))))))))))) | (29) |
1(0(1(3(2(0(2(1(3(3(2(1(3(2(2(0(1(2(x1)))))))))))))))))) | → | 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(x1)))))))))))))))))) | (30) |
1(0(2(3(0(1(0(2(0(1(0(3(1(2(2(2(3(1(x1)))))))))))))))))) | → | 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(x1)))))))))))))))))) | (31) |
1(0(3(0(2(0(3(0(1(1(2(3(0(1(3(2(0(3(x1)))))))))))))))))) | → | 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(x1)))))))))))))))))) | (32) |
1(0(3(2(3(2(2(0(3(2(2(1(1(0(3(2(3(3(x1)))))))))))))))))) | → | 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(x1)))))))))))))))))) | (33) |
1(1(0(0(3(2(2(2(2(0(3(2(2(0(0(1(0(0(x1)))))))))))))))))) | → | 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(x1)))))))))))))))))) | (34) |
1(1(0(1(1(3(2(0(2(1(2(2(1(2(3(1(1(1(x1)))))))))))))))))) | → | 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(x1)))))))))))))))))) | (35) |
1(1(1(0(1(1(2(2(2(1(0(1(1(1(3(3(0(3(x1)))))))))))))))))) | → | 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(x1)))))))))))))))))) | (36) |
1(1(1(0(1(1(3(2(3(0(0(3(3(3(2(2(2(1(x1)))))))))))))))))) | → | 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(x1)))))))))))))))))) | (37) |
1(1(2(0(2(2(1(2(3(2(3(1(0(0(1(3(0(2(x1)))))))))))))))))) | → | 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(x1)))))))))))))))))) | (38) |
1(1(3(3(1(0(2(3(2(1(3(2(0(1(1(1(1(1(x1)))))))))))))))))) | → | 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(x1)))))))))))))))))) | (39) |
1(1(3(3(2(1(1(1(3(3(1(1(0(2(0(2(1(2(x1)))))))))))))))))) | → | 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(x1)))))))))))))))))) | (40) |
1(2(2(1(2(2(1(0(1(2(1(1(0(2(3(2(2(0(x1)))))))))))))))))) | → | 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(x1)))))))))))))))))) | (41) |
1(3(0(1(3(2(2(2(2(1(0(0(1(2(2(0(0(1(x1)))))))))))))))))) | → | 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(x1)))))))))))))))))) | (42) |
1(3(1(2(2(2(1(3(3(0(1(1(0(0(2(2(3(2(x1)))))))))))))))))) | → | 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(x1)))))))))))))))))) | (43) |
1(3(1(3(2(2(0(0(0(0(1(3(2(0(1(3(3(0(x1)))))))))))))))))) | → | 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(x1)))))))))))))))))) | (44) |
1(3(2(3(0(3(3(3(1(3(3(1(3(3(3(2(2(0(x1)))))))))))))))))) | → | 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(x1)))))))))))))))))) | (45) |
1(3(3(1(1(3(0(2(0(1(3(1(3(0(3(2(2(1(x1)))))))))))))))))) | → | 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(x1)))))))))))))))))) | (46) |
2(0(2(0(0(1(1(1(3(1(1(3(2(3(1(3(2(3(x1)))))))))))))))))) | → | 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(x1)))))))))))))))))) | (47) |
2(0(2(2(3(2(0(2(0(1(1(3(1(3(3(3(2(0(x1)))))))))))))))))) | → | 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(x1)))))))))))))))))) | (48) |
2(1(0(0(2(2(2(0(1(3(1(3(2(3(2(1(1(2(x1)))))))))))))))))) | → | 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(x1)))))))))))))))))) | (49) |
2(1(0(2(1(0(0(1(1(2(2(2(2(2(2(2(2(1(x1)))))))))))))))))) | → | 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(x1)))))))))))))))))) | (50) |
2(1(1(3(2(0(0(0(2(1(0(2(2(3(2(3(2(0(x1)))))))))))))))))) | → | 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(x1)))))))))))))))))) | (51) |
2(1(3(3(2(1(2(3(1(3(3(1(2(1(2(2(0(3(x1)))))))))))))))))) | → | 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(x1)))))))))))))))))) | (52) |
2(2(3(1(0(3(2(2(2(2(3(1(3(3(0(2(3(2(x1)))))))))))))))))) | → | 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(x1)))))))))))))))))) | (53) |
2(3(0(1(0(0(3(1(0(3(2(3(2(2(2(3(3(2(x1)))))))))))))))))) | → | 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(x1)))))))))))))))))) | (54) |
2(3(1(0(0(3(1(0(1(3(0(1(2(2(2(2(0(2(x1)))))))))))))))))) | → | 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(x1)))))))))))))))))) | (55) |
3(0(0(1(3(1(0(2(3(3(1(3(3(3(3(2(1(0(x1)))))))))))))))))) | → | 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(x1)))))))))))))))))) | (56) |
3(0(0(1(3(2(2(1(3(3(0(1(2(1(0(3(1(2(x1)))))))))))))))))) | → | 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(x1)))))))))))))))))) | (57) |
3(0(1(0(0(0(0(3(3(2(0(0(1(0(0(2(2(2(x1)))))))))))))))))) | → | 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(x1)))))))))))))))))) | (58) |
3(0(1(0(0(2(1(0(1(3(2(1(1(3(3(0(1(1(x1)))))))))))))))))) | → | 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(x1)))))))))))))))))) | (59) |
3(0(1(0(2(1(0(0(0(0(1(1(3(2(2(3(0(1(x1)))))))))))))))))) | → | 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(x1)))))))))))))))))) | (60) |
3(0(1(0(2(3(2(0(1(0(1(2(3(1(2(0(1(2(x1)))))))))))))))))) | → | 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(x1)))))))))))))))))) | (61) |
3(0(3(0(3(2(2(3(2(1(0(2(3(1(2(3(3(0(x1)))))))))))))))))) | → | 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(x1)))))))))))))))))) | (62) |
3(1(0(2(1(0(1(0(1(0(2(2(0(2(3(3(2(2(x1)))))))))))))))))) | → | 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(x1)))))))))))))))))) | (63) |
3(1(0(3(2(1(0(3(0(2(3(2(3(0(1(3(3(2(x1)))))))))))))))))) | → | 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(x1)))))))))))))))))) | (64) |
3(1(1(0(1(0(3(1(1(2(1(3(0(3(3(1(0(3(x1)))))))))))))))))) | → | 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(x1)))))))))))))))))) | (65) |
3(1(2(2(3(1(0(1(1(1(1(3(2(1(1(1(3(1(x1)))))))))))))))))) | → | 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(x1)))))))))))))))))) | (66) |
3(2(0(1(2(3(2(2(1(3(0(3(3(1(3(3(2(2(x1)))))))))))))))))) | → | 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(x1)))))))))))))))))) | (67) |
3(2(0(3(0(1(1(0(2(3(0(3(0(0(1(0(2(0(x1)))))))))))))))))) | → | 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(x1)))))))))))))))))) | (68) |
3(2(1(0(1(0(1(3(0(1(2(3(0(0(1(3(0(1(x1)))))))))))))))))) | → | 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(x1)))))))))))))))))) | (69) |
3(2(2(0(2(3(0(1(0(3(1(3(3(1(3(1(2(3(x1)))))))))))))))))) | → | 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(x1)))))))))))))))))) | (70) |
3(2(2(1(3(1(2(2(3(3(0(2(1(0(1(3(2(1(x1)))))))))))))))))) | → | 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(x1)))))))))))))))))) | (71) |
3(2(2(2(2(2(1(0(0(1(3(2(3(1(3(3(2(1(x1)))))))))))))))))) | → | 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(x1)))))))))))))))))) | (72) |
3(2(2(2(2(3(3(1(3(1(1(3(3(1(2(2(3(2(x1)))))))))))))))))) | → | 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(x1)))))))))))))))))) | (73) |
3(2(3(2(2(2(0(2(3(0(1(2(3(0(1(1(0(2(x1)))))))))))))))))) | → | 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(x1)))))))))))))))))) | (74) |
3(3(0(1(0(3(2(0(1(1(1(1(2(0(3(2(1(0(x1)))))))))))))))))) | → | 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(x1)))))))))))))))))) | (75) |
3(3(0(2(0(1(3(1(0(2(2(2(2(0(3(3(1(0(x1)))))))))))))))))) | → | 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(x1)))))))))))))))))) | (76) |
3(3(1(2(1(3(2(2(1(2(1(2(2(0(3(2(1(0(x1)))))))))))))))))) | → | 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(x1)))))))))))))))))) | (77) |
3(3(1(3(0(2(3(3(3(1(0(0(2(2(0(2(0(1(x1)))))))))))))))))) | → | 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(x1)))))))))))))))))) | (78) |
3(3(1(3(3(2(1(3(2(3(3(2(3(1(3(2(3(1(x1)))))))))))))))))) | → | 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(x1)))))))))))))))))) | (79) |
3(3(2(2(3(0(1(3(3(3(0(0(0(2(0(2(3(0(x1)))))))))))))))))) | → | 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(x1)))))))))))))))))) | (80) |
and S is the following TRS.
0(1(2(3(x1)))) | → | 0(1(2(3(x1)))) | (81) |
2(1(0(0(0(1(0(2(2(0(3(2(2(3(1(0(0(0(x1)))))))))))))))))) | → | 2(0(2(0(2(1(0(0(1(2(1(2(0(3(0(0(3(0(x1)))))))))))))))))) | (82) |
0(1(3(2(3(2(0(0(2(3(2(3(2(3(1(1(0(0(x1)))))))))))))))))) | → | 0(0(2(0(1(3(3(0(3(2(1(3(2(1(2(0(3(2(x1)))))))))))))))))) | (83) |
2(2(3(2(1(1(1(1(2(2(1(0(1(2(3(1(0(0(x1)))))))))))))))))) | → | 2(2(1(0(2(1(0(3(2(3(1(2(1(2(1(1(1(0(x1)))))))))))))))))) | (84) |
2(0(3(0(0(3(3(2(2(0(1(1(0(0(0(2(0(0(x1)))))))))))))))))) | → | 2(0(0(0(3(0(0(2(0(3(2(1(1(3(0(0(2(0(x1)))))))))))))))))) | (85) |
0(2(3(2(0(1(0(1(0(1(0(2(1(1(0(2(0(0(x1)))))))))))))))))) | → | 0(2(0(0(1(1(1(1(1(0(3(0(2(2(2(0(0(0(x1)))))))))))))))))) | (86) |
1(0(0(3(1(1(2(3(1(3(3(2(2(3(0(2(0(0(x1)))))))))))))))))) | → | 1(0(3(2(1(3(3(2(0(2(2(3(0(1(1(3(0(0(x1)))))))))))))))))) | (87) |
1(1(0(2(3(3(1(3(0(1(0(1(0(0(1(2(0(0(x1)))))))))))))))))) | → | 1(1(3(0(1(0(1(3(0(2(0(1(1(0(2(0(0(3(x1)))))))))))))))))) | (88) |
0(2(2(2(3(2(2(0(0(0(2(2(0(0(1(3(0(0(x1)))))))))))))))))) | → | 0(2(2(0(3(1(3(2(0(2(2(0(0(2(0(2(0(0(x1)))))))))))))))))) | (89) |
1(1(0(2(2(2(3(2(3(1(0(1(0(0(2(3(0(0(x1)))))))))))))))))) | → | 2(1(0(3(0(0(2(3(0(2(1(2(1(3(1(0(0(2(x1)))))))))))))))))) | (90) |
3(3(3(0(3(3(3(2(3(1(0(3(3(1(3(3(0(0(x1)))))))))))))))))) | → | 3(3(2(3(0(3(1(3(3(3(0(3(1(3(3(0(3(0(x1)))))))))))))))))) | (91) |
1(2(3(1(0(1(0(3(1(3(1(0(3(0(1(0(1(0(x1)))))))))))))))))) | → | 1(3(3(0(1(3(1(0(1(1(0(0(1(3(0(2(1(0(x1)))))))))))))))))) | (92) |
1(1(0(1(0(1(1(1(1(0(2(3(2(2(3(0(1(0(x1)))))))))))))))))) | → | 1(1(1(2(0(2(0(0(3(1(1(0(0(1(1(3(2(1(x1)))))))))))))))))) | (93) |
2(2(0(1(1(3(0(1(2(3(0(2(2(0(0(1(1(0(x1)))))))))))))))))) | → | 2(2(0(1(3(3(0(1(2(1(1(0(2(1(2(0(0(0(x1)))))))))))))))))) | (94) |
0(2(0(3(0(1(0(0(0(2(0(1(1(2(2(0(2(0(x1)))))))))))))))))) | → | 0(2(0(2(3(0(0(0(0(2(0(2(0(1(1(1(2(0(x1)))))))))))))))))) | (95) |
1(0(2(0(0(1(2(1(3(3(1(3(1(3(0(2(2(0(x1)))))))))))))))))) | → | 1(3(0(2(0(2(0(3(1(1(3(3(2(1(1(0(2(0(x1)))))))))))))))))) | (96) |
3(1(0(2(3(3(0(1(0(3(1(0(0(3(1(2(2(0(x1)))))))))))))))))) | → | 3(1(2(1(3(0(2(1(2(0(0(0(0(3(3(1(0(3(x1)))))))))))))))))) | (97) |
2(1(1(0(2(3(2(1(0(1(3(1(2(2(2(2(2(0(x1)))))))))))))))))) | → | 2(3(1(0(2(0(0(2(1(2(1(2(3(2(1(2(1(2(x1)))))))))))))))))) | (98) |
2(0(2(3(1(0(1(1(1(3(1(0(3(3(2(2(2(0(x1)))))))))))))))))) | → | 2(0(2(1(0(2(3(2(1(3(1(0(3(3(0(1(1(2(x1)))))))))))))))))) | (99) |
2(1(0(0(1(2(3(2(0(1(1(3(2(3(1(3(2(0(x1)))))))))))))))))) | → | 2(1(3(0(1(1(1(0(2(1(0(2(3(2(3(3(2(0(x1)))))))))))))))))) | (100) |
1(1(1(1(0(1(2(2(3(2(3(1(3(3(1(3(2(0(x1)))))))))))))))))) | → | 1(1(0(2(1(2(1(3(2(2(1(1(3(3(3(3(0(1(x1)))))))))))))))))) | (101) |
1(2(3(1(1(0(1(0(3(1(3(3(1(1(2(3(2(0(x1)))))))))))))))))) | → | 1(1(1(0(3(3(3(3(0(2(1(1(1(2(1(3(2(0(x1)))))))))))))))))) | (102) |
1(0(1(2(0(3(3(1(3(1(0(3(1(2(3(3(2(0(x1)))))))))))))))))) | → | 1(1(1(2(3(3(0(1(3(2(0(1(3(0(3(3(2(0(x1)))))))))))))))))) | (103) |
3(1(1(3(0(0(1(0(1(0(2(3(1(3(1(0(3(0(x1)))))))))))))))))) | → | 3(1(1(0(1(0(0(3(0(1(1(3(1(3(0(2(3(0(x1)))))))))))))))))) | (104) |
2(1(0(0(3(1(2(3(0(1(0(0(3(0(0(1(3(0(x1)))))))))))))))))) | → | 2(3(0(0(0(3(0(1(2(0(0(1(3(1(1(3(0(0(x1)))))))))))))))))) | (105) |
0(3(2(2(1(3(0(0(1(1(0(1(2(2(0(1(3(0(x1)))))))))))))))))) | → | 0(0(1(1(3(0(2(2(1(2(0(2(3(0(1(1(3(0(x1)))))))))))))))))) | (106) |
1(1(1(1(3(1(3(2(2(2(2(2(3(1(0(0(0(1(x1)))))))))))))))))) | → | 1(3(2(1(3(2(0(1(2(0(1(0(2(3(1(1(2(1(x1)))))))))))))))))) | (107) |
3(2(2(2(2(1(1(3(2(1(3(2(0(3(0(0(0(1(x1)))))))))))))))))) | → | 3(2(3(3(1(2(2(0(0(2(1(0(2(1(2(0(3(1(x1)))))))))))))))))) | (108) |
3(1(0(1(2(3(3(1(0(3(2(0(3(1(0(1(0(1(x1)))))))))))))))))) | → | 3(1(0(1(0(0(0(3(1(3(1(0(2(1(2(3(3(1(x1)))))))))))))))))) | (109) |
0(1(0(0(0(3(1(0(0(0(1(1(2(3(1(1(0(1(x1)))))))))))))))))) | → | 0(2(0(0(1(1(0(0(0(0(3(1(0(1(1(1(3(1(x1)))))))))))))))))) | (110) |
2(1(0(2(2(3(1(2(3(3(1(2(0(2(3(1(0(1(x1)))))))))))))))))) | → | 2(2(2(2(3(1(2(0(0(0(1(3(3(1(2(1(3(1(x1)))))))))))))))))) | (111) |
1(3(2(2(2(1(3(0(1(0(2(0(1(0(3(2(0(1(x1)))))))))))))))))) | → | 1(2(1(2(1(0(2(1(3(3(2(2(0(0(0(3(0(1(x1)))))))))))))))))) | (112) |
3(0(2(3(1(0(3(2(1(1(0(3(0(2(0(3(0(1(x1)))))))))))))))))) | → | 3(3(0(0(2(1(3(3(3(0(2(0(1(0(1(2(0(1(x1)))))))))))))))))) | (113) |
3(3(2(3(0(1(1(2(2(3(0(2(2(3(2(3(0(1(x1)))))))))))))))))) | → | 3(3(0(2(1(3(1(2(3(2(0(3(2(2(0(3(2(1(x1)))))))))))))))))) | (114) |
0(0(1(0(0(2(2(3(0(2(2(2(2(3(0(0(1(1(x1)))))))))))))))))) | → | 0(0(2(0(1(2(0(2(2(2(1(0(2(0(0(3(3(1(x1)))))))))))))))))) | (115) |
1(1(1(3(2(1(2(2(1(2(0(2(3(1(1(0(1(1(x1)))))))))))))))))) | → | 1(1(1(1(1(2(2(0(2(1(2(1(3(2(3(0(1(1(x1)))))))))))))))))) | (116) |
3(0(3(3(1(1(1(0(1(2(2(2(1(1(0(1(1(1(x1)))))))))))))))))) | → | 3(0(3(1(1(1(2(1(2(1(0(1(1(1(3(0(2(1(x1)))))))))))))))))) | (117) |
1(2(2(2(3(3(3(0(0(3(2(3(1(1(0(1(1(1(x1)))))))))))))))))) | → | 2(1(3(2(1(1(2(1(3(2(1(3(3(0(0(3(0(1(x1)))))))))))))))))) | (118) |
2(0(3(1(0(0(1(3(2(3(2(1(2(2(0(2(1(1(x1)))))))))))))))))) | → | 2(0(3(2(2(0(1(3(0(1(3(0(2(1(1(2(2(1(x1)))))))))))))))))) | (119) |
1(1(1(1(1(0(2(3(1(2(3(2(0(1(3(3(1(1(x1)))))))))))))))))) | → | 1(2(2(0(3(3(0(3(1(1(2(1(1(1(1(1(3(1(x1)))))))))))))))))) | (120) |
2(1(2(0(2(0(1(1(3(3(1(1(1(2(3(3(1(1(x1)))))))))))))))))) | → | 2(1(1(3(2(0(3(2(1(1(1(0(3(1(3(2(1(1(x1)))))))))))))))))) | (121) |
0(2(2(3(2(0(1(1(2(1(0(1(2(2(1(2(2(1(x1)))))))))))))))))) | → | 0(2(1(3(2(0(2(2(1(0(1(2(1(2(2(1(2(1(x1)))))))))))))))))) | (122) |
1(0(0(2(2(1(0(0(1(2(2(2(2(3(1(0(3(1(x1)))))))))))))))))) | → | 2(3(0(0(0(2(1(3(0(0(2(1(2(1(1(2(2(1(x1)))))))))))))))))) | (123) |
2(3(2(2(0(0(1(1(0(3(3(1(2(2(2(1(3(1(x1)))))))))))))))))) | → | 2(1(2(1(0(1(1(3(2(3(0(3(2(0(3(2(2(1(x1)))))))))))))))))) | (124) |
0(3(3(1(0(2(3(1(0(0(0(0(2(2(3(1(3(1(x1)))))))))))))))))) | → | 0(1(3(2(1(2(3(3(3(1(3(0(0(0(0(0(2(1(x1)))))))))))))))))) | (125) |
0(2(2(3(3(3(1(3(3(1(3(3(3(0(3(2(3(1(x1)))))))))))))))))) | → | 3(2(3(0(2(3(3(3(3(3(2(0(1(1(3(3(3(1(x1)))))))))))))))))) | (126) |
1(2(2(3(0(3(1(3(1(0(2(0(3(1(1(3(3(1(x1)))))))))))))))))) | → | 1(2(0(3(3(2(1(1(3(0(2(1(1(0(3(3(3(1(x1)))))))))))))))))) | (127) |
3(2(3(1(3(2(3(1(1(3(1(1(1(0(0(2(0(2(x1)))))))))))))))))) | → | 3(2(3(3(3(2(1(0(1(2(1(3(0(1(1(1(0(2(x1)))))))))))))))))) | (128) |
0(2(3(3(3(1(3(1(1(0(2(0(2(3(2(2(0(2(x1)))))))))))))))))) | → | 3(3(0(2(3(3(0(0(1(2(2(0(2(1(2(1(3(2(x1)))))))))))))))))) | (129) |
2(1(1(2(3(2(3(1(3(1(0(2(2(2(0(0(1(2(x1)))))))))))))))))) | → | 2(1(1(1(3(2(1(3(2(1(2(2(0(3(0(0(2(2(x1)))))))))))))))))) | (130) |
1(2(2(2(2(2(2(2(2(1(1(0(0(1(2(0(1(2(x1)))))))))))))))))) | → | 1(2(2(1(2(1(0(2(2(2(1(2(2(2(1(0(0(2(x1)))))))))))))))))) | (131) |
0(2(3(2(3(2(2(0(1(2(0(0(0(2(3(1(1(2(x1)))))))))))))))))) | → | 0(1(3(2(3(0(3(2(1(2(1(2(2(0(2(0(0(2(x1)))))))))))))))))) | (132) |
3(0(2(2(1(2(1(3(3(1(3(2(1(2(3(3(1(2(x1)))))))))))))))))) | → | 3(3(3(3(3(3(0(1(2(1(2(2(2(1(1(1(2(2(x1)))))))))))))))))) | (133) |
2(3(2(0(3(3(1(3(2(2(2(2(3(0(1(3(2(2(x1)))))))))))))))))) | → | 2(2(3(2(2(1(2(0(3(3(3(2(1(3(0(3(2(2(x1)))))))))))))))))) | (134) |
2(3(3(2(2(2(3(2(3(0(1(3(0(0(1(0(3(2(x1)))))))))))))))))) | → | 3(3(3(0(2(3(0(1(1(2(2(2(0(0(3(2(3(2(x1)))))))))))))))))) | (135) |
2(0(2(2(2(2(1(0(3(1(0(1(3(0(0(1(3(2(x1)))))))))))))))))) | → | 2(0(3(2(3(2(0(1(1(3(2(1(1(0(0(2(0(2(x1)))))))))))))))))) | (136) |
0(1(2(3(3(3(3(1(3(3(2(0(1(3(1(0(0(3(x1)))))))))))))))))) | → | 0(1(3(3(3(0(3(3(0(3(1(2(2(1(1(3(0(3(x1)))))))))))))))))) | (137) |
2(1(3(0(1(2(1(0(3(3(1(2(2(3(1(0(0(3(x1)))))))))))))))))) | → | 2(1(0(2(0(3(1(2(1(3(2(0(3(3(1(1(0(3(x1)))))))))))))))))) | (138) |
2(2(2(0(0(1(0(0(2(3(3(0(0(0(0(1(0(3(x1)))))))))))))))))) | → | 2(1(0(1(2(0(0(0(3(3(0(2(0(0(3(0(2(0(x1)))))))))))))))))) | (139) |
1(1(0(3(3(1(1(2(3(1(0(1(2(0(0(1(0(3(x1)))))))))))))))))) | → | 1(1(2(3(0(1(0(3(1(0(1(1(1(3(2(0(0(3(x1)))))))))))))))))) | (140) |
1(0(3(2(2(3(1(1(0(0(0(0(1(2(0(1(0(3(x1)))))))))))))))))) | → | 2(0(1(1(1(2(0(0(0(1(1(2(3(0(3(0(0(3(x1)))))))))))))))))) | (141) |
2(1(0(2(1(3(2(1(0(1(0(2(3(2(0(1(0(3(x1)))))))))))))))))) | → | 2(0(2(0(3(0(2(1(0(3(2(2(1(1(1(1(0(3(x1)))))))))))))))))) | (142) |
0(3(3(2(1(3(2(0(1(2(3(2(2(3(0(3(0(3(x1)))))))))))))))))) | → | 0(3(3(3(3(0(0(2(3(2(0(2(3(2(1(2(1(3(x1)))))))))))))))))) | (143) |
2(2(3(3(2(0(2(2(0(1(0(1(0(1(2(0(1(3(x1)))))))))))))))))) | → | 2(2(1(1(1(2(2(0(3(1(2(3(2(0(0(0(3(0(x1)))))))))))))))))) | (144) |
2(3(3(1(0(3(2(3(2(0(3(0(1(2(3(0(1(3(x1)))))))))))))))))) | → | 2(1(0(2(2(3(0(3(2(0(3(3(3(1(3(0(1(3(x1)))))))))))))))))) | (145) |
3(0(1(3(3(0(3(1(2(1(1(3(0(1(0(1(1(3(x1)))))))))))))))))) | → | 3(0(3(3(2(1(0(0(3(0(1(1(1(3(1(1(1(3(x1)))))))))))))))))) | (146) |
1(3(1(1(1(2(3(1(1(1(1(0(1(3(2(2(1(3(x1)))))))))))))))))) | → | 1(3(1(1(3(1(1(2(1(0(1(1(3(2(2(1(1(3(x1)))))))))))))))))) | (147) |
2(2(3(3(1(3(3(0(3(1(2(2(3(2(1(0(2(3(x1)))))))))))))))))) | → | 2(2(2(1(3(3(3(3(2(3(3(1(0(2(1(0(2(3(x1)))))))))))))))))) | (148) |
0(2(0(1(0(0(3(0(3(2(0(1(1(0(3(0(2(3(x1)))))))))))))))))) | → | 0(2(0(0(0(3(2(3(3(0(0(1(1(1(0(0(2(3(x1)))))))))))))))))) | (149) |
1(0(3(1(0(0(3(2(1(0(3(1(0(1(0(1(2(3(x1)))))))))))))))))) | → | 1(1(2(1(2(1(0(1(1(0(0(3(3(0(3(0(0(3(x1)))))))))))))))))) | (150) |
3(2(1(3(1(3(3(1(3(0(1(0(3(2(0(2(2(3(x1)))))))))))))))))) | → | 3(3(2(3(2(0(1(1(1(3(3(0(2(1(3(0(2(3(x1)))))))))))))))))) | (151) |
1(2(3(1(0(1(2(0(3(3(2(2(1(3(1(2(2(3(x1)))))))))))))))))) | → | 2(2(0(3(2(1(1(3(1(2(0(3(2(1(1(3(2(3(x1)))))))))))))))))) | (152) |
1(2(3(3(1(3(2(3(1(0(0(1(2(2(2(2(2(3(x1)))))))))))))))))) | → | 1(3(2(2(0(1(2(3(3(1(2(2(2(0(1(3(2(3(x1)))))))))))))))))) | (153) |
2(3(2(2(1(3(3(1(1(3(1(3(3(2(2(2(2(3(x1)))))))))))))))))) | → | 2(1(1(2(3(2(3(3(2(1(3(2(1(3(2(3(2(3(x1)))))))))))))))))) | (154) |
2(0(1(1(0(3(2(1(0(3(2(0(2(2(2(3(2(3(x1)))))))))))))))))) | → | 2(1(2(2(0(0(1(0(2(2(1(3(0(3(3(2(2(3(x1)))))))))))))))))) | (155) |
0(1(2(3(0(2(1(1(1(1(0(2(3(0(1(0(3(3(x1)))))))))))))))))) | → | 0(3(0(0(2(1(1(3(2(1(1(1(2(0(0(1(3(3(x1)))))))))))))))))) | (156) |
0(1(3(3(0(2(2(2(2(0(1(3(1(0(2(0(3(3(x1)))))))))))))))))) | → | 0(2(3(2(0(1(0(3(2(1(2(0(1(3(0(2(3(3(x1)))))))))))))))))) | (157) |
0(1(2(3(0(2(2(1(2(1(2(2(3(1(2(1(3(3(x1)))))))))))))))))) | → | 3(3(2(1(1(2(0(2(1(3(2(2(1(2(1(2(0(3(x1)))))))))))))))))) | (158) |
1(0(2(0(2(2(0(0(1(3(3(3(2(0(3(1(3(3(x1)))))))))))))))))) | → | 1(3(3(2(1(2(1(2(3(3(0(3(0(0(2(0(0(3(x1)))))))))))))))))) | (159) |
1(3(2(3(1(3(2(3(3(2(3(1(2(3(3(1(3(3(x1)))))))))))))))))) | → | 1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(3(x1)))))))))))))))))) | (160) |
0(3(2(0(2(0(0(0(3(3(3(1(0(3(2(2(3(3(x1)))))))))))))))))) | → | 0(3(0(3(1(0(2(2(0(3(2(0(2(3(0(3(3(3(x1)))))))))))))))))) | (161) |
{2(☐), 1(☐), 0(☐), 3(☐)}
We obtain the transformed TRSThere are 107 ruless (increase limit for explicit display).
Root-labeling is applied.
We obtain the labeled TRSThere are 428 ruless (increase limit for explicit display).
[21(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 + 38 |
[00(x1)] | = | 1 · x1 + 38 |
[01(x1)] | = | 1 · x1 + 41 |
[02(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 + 29 |
[20(x1)] | = | 1 · x1 + 47 |
[03(x1)] | = | 1 · x1 + 9 |
[32(x1)] | = | 1 · x1 + 35 |
[23(x1)] | = | 1 · x1 + 30 |
[31(x1)] | = | 1 · x1 + 43 |
[12(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
There are 400 ruless (increase limit for explicit display).
[21(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 + 6 |
[00(x1)] | = | 1 · x1 + 3 |
[03(x1)] | = | 1 · x1 + 2 |
[31(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 + 3 |
[23(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 + 2 |
[02(x1)] | = | 1 · x1 + 4 |
[20(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 + 1 |
[32(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
21(10(00(03(31(12(23(30(01(10(00(03(30(00(01(13(30(02(x1)))))))))))))))))) | → | 23(30(00(00(03(30(01(12(20(00(01(13(31(11(13(30(00(02(x1)))))))))))))))))) | (286) |
21(10(00(03(31(12(23(30(01(10(00(03(30(00(01(13(30(01(x1)))))))))))))))))) | → | 23(30(00(00(03(30(01(12(20(00(01(13(31(11(13(30(00(01(x1)))))))))))))))))) | (287) |
21(10(00(03(31(12(23(30(01(10(00(03(30(00(01(13(30(00(x1)))))))))))))))))) | → | 23(30(00(00(03(30(01(12(20(00(01(13(31(11(13(30(00(00(x1)))))))))))))))))) | (288) |
21(10(00(03(31(12(23(30(01(10(00(03(30(00(01(13(30(03(x1)))))))))))))))))) | → | 23(30(00(00(03(30(01(12(20(00(01(13(31(11(13(30(00(03(x1)))))))))))))))))) | (289) |
[21(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 + 1 |
[11(x1)] | = | 1 · x1 + 1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
21(12(20(02(20(01(11(13(33(31(11(11(12(23(33(31(11(12(x1)))))))))))))))))) | → | 21(11(13(32(20(03(32(21(11(11(10(03(31(13(32(21(11(12(x1)))))))))))))))))) | (346) |
21(12(20(02(20(01(11(13(33(31(11(11(12(23(33(31(11(11(x1)))))))))))))))))) | → | 21(11(13(32(20(03(32(21(11(11(10(03(31(13(32(21(11(11(x1)))))))))))))))))) | (347) |
21(12(20(02(20(01(11(13(33(31(11(11(12(23(33(31(11(10(x1)))))))))))))))))) | → | 21(11(13(32(20(03(32(21(11(11(10(03(31(13(32(21(11(10(x1)))))))))))))))))) | (348) |
21(12(20(02(20(01(11(13(33(31(11(11(12(23(33(31(11(13(x1)))))))))))))))))) | → | 21(11(13(32(20(03(32(21(11(11(10(03(31(13(32(21(11(13(x1)))))))))))))))))) | (349) |
[21(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 + 1 |
[12(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 + 1 |
[33(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 + 1 |
[32(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
21(13(30(01(12(21(10(03(33(31(12(22(23(31(10(00(03(32(x1)))))))))))))))))) | → | 21(10(02(20(03(31(12(21(13(32(20(03(33(31(11(10(03(32(x1)))))))))))))))))) | (398) |
21(13(30(01(12(21(10(03(33(31(12(22(23(31(10(00(03(31(x1)))))))))))))))))) | → | 21(10(02(20(03(31(12(21(13(32(20(03(33(31(11(10(03(31(x1)))))))))))))))))) | (399) |
21(13(30(01(12(21(10(03(33(31(12(22(23(31(10(00(03(30(x1)))))))))))))))))) | → | 21(10(02(20(03(31(12(21(13(32(20(03(33(31(11(10(03(30(x1)))))))))))))))))) | (400) |
21(13(30(01(12(21(10(03(33(31(12(22(23(31(10(00(03(33(x1)))))))))))))))))) | → | 21(10(02(20(03(31(12(21(13(32(20(03(33(31(11(10(03(33(x1)))))))))))))))))) | (401) |
[30(x1)] | = | 1 · x1 + 2 |
[01(x1)] | = | 1 · x1 + 1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 + 2 |
[03(x1)] | = | 1 · x1 + 1 |
[31(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 + 1 |
[00(x1)] | = | 1 · x1 + 1 |
[02(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
30(01(13(33(30(03(31(12(21(11(13(30(01(10(01(11(13(32(x1)))))))))))))))))) | → | 30(03(33(32(21(10(00(03(30(01(11(11(13(31(11(11(13(32(x1)))))))))))))))))) | (426) |
30(01(13(33(30(03(31(12(21(11(13(30(01(10(01(11(13(31(x1)))))))))))))))))) | → | 30(03(33(32(21(10(00(03(30(01(11(11(13(31(11(11(13(31(x1)))))))))))))))))) | (427) |
30(01(13(33(30(03(31(12(21(11(13(30(01(10(01(11(13(30(x1)))))))))))))))))) | → | 30(03(33(32(21(10(00(03(30(01(11(11(13(31(11(11(13(30(x1)))))))))))))))))) | (428) |
30(01(13(33(30(03(31(12(21(11(13(30(01(10(01(11(13(33(x1)))))))))))))))))) | → | 30(03(33(32(21(10(00(03(30(01(11(11(13(31(11(11(13(33(x1)))))))))))))))))) | (429) |
[02(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 + 1 |
[00(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
02(20(01(10(00(03(30(03(32(20(01(11(10(03(30(02(23(32(x1)))))))))))))))))) | → | 02(20(00(00(03(32(23(33(30(00(01(11(11(10(00(02(23(32(x1)))))))))))))))))) | (438) |
02(20(01(10(00(03(30(03(32(20(01(11(10(03(30(02(23(31(x1)))))))))))))))))) | → | 02(20(00(00(03(32(23(33(30(00(01(11(11(10(00(02(23(31(x1)))))))))))))))))) | (439) |
02(20(01(10(00(03(30(03(32(20(01(11(10(03(30(02(23(30(x1)))))))))))))))))) | → | 02(20(00(00(03(32(23(33(30(00(01(11(11(10(00(02(23(30(x1)))))))))))))))))) | (440) |
02(20(01(10(00(03(30(03(32(20(01(11(10(03(30(02(23(33(x1)))))))))))))))))) | → | 02(20(00(00(03(32(23(33(30(00(01(11(11(10(00(02(23(33(x1)))))))))))))))))) | (441) |
[01(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 + 1 |
[33(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
01(13(33(30(02(22(22(22(20(01(13(31(10(02(20(03(33(32(x1)))))))))))))))))) | → | 02(23(32(20(01(10(03(32(21(12(20(01(13(30(02(23(33(32(x1)))))))))))))))))) | (466) |
01(13(33(30(02(22(22(22(20(01(13(31(10(02(20(03(33(31(x1)))))))))))))))))) | → | 02(23(32(20(01(10(03(32(21(12(20(01(13(30(02(23(33(31(x1)))))))))))))))))) | (467) |
01(13(33(30(02(22(22(22(20(01(13(31(10(02(20(03(33(30(x1)))))))))))))))))) | → | 02(23(32(20(01(10(03(32(21(12(20(01(13(30(02(23(33(30(x1)))))))))))))))))) | (468) |
01(13(33(30(02(22(22(22(20(01(13(31(10(02(20(03(33(33(x1)))))))))))))))))) | → | 02(23(32(20(01(10(03(32(21(12(20(01(13(30(02(23(33(33(x1)))))))))))))))))) | (469) |
[30(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 + 1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
30(01(12(23(30(02(22(21(12(21(12(22(23(31(12(21(13(33(32(x1))))))))))))))))))) | → | 33(33(32(21(11(12(20(02(21(13(32(22(21(12(21(12(20(03(32(x1))))))))))))))))))) | (622) |
30(01(12(23(30(02(22(21(12(21(12(22(23(31(12(21(13(33(31(x1))))))))))))))))))) | → | 33(33(32(21(11(12(20(02(21(13(32(22(21(12(21(12(20(03(31(x1))))))))))))))))))) | (623) |
30(01(12(23(30(02(22(21(12(21(12(22(23(31(12(21(13(33(30(x1))))))))))))))))))) | → | 33(33(32(21(11(12(20(02(21(13(32(22(21(12(21(12(20(03(30(x1))))))))))))))))))) | (624) |
30(01(12(23(30(02(22(21(12(21(12(22(23(31(12(21(13(33(33(x1))))))))))))))))))) | → | 33(33(32(21(11(12(20(02(21(13(32(22(21(12(21(12(20(03(33(x1))))))))))))))))))) | (625) |
There are no rules in the TRS. Hence, it is terminating.