The relative rewrite relation R/S is considered where R is the following TRS
0(0(0(0(1(1(3(2(3(3(0(1(1(2(0(1(3(1(x1)))))))))))))))))) | → | 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(x1)))))))))))))))))) | (1) |
0(0(0(2(3(0(0(0(0(0(0(1(1(0(3(0(0(0(x1)))))))))))))))))) | → | 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(x1)))))))))))))))))) | (2) |
0(0(1(1(2(1(3(1(3(1(1(1(2(2(1(0(2(2(x1)))))))))))))))))) | → | 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(x1)))))))))))))))))) | (3) |
0(0(3(3(0(2(3(0(3(0(2(1(0(0(0(3(3(0(x1)))))))))))))))))) | → | 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(x1)))))))))))))))))) | (4) |
0(2(0(1(3(0(0(1(3(0(2(0(1(3(1(1(3(1(x1)))))))))))))))))) | → | 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(x1)))))))))))))))))) | (5) |
0(2(0(2(1(1(2(1(2(0(0(3(2(2(3(0(0(3(x1)))))))))))))))))) | → | 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(x1)))))))))))))))))) | (6) |
0(2(1(2(1(1(2(3(2(1(0(0(1(0(0(3(0(3(x1)))))))))))))))))) | → | 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(x1)))))))))))))))))) | (7) |
0(2(3(1(2(3(2(1(0(1(0(0(3(1(3(1(2(3(x1)))))))))))))))))) | → | 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(x1)))))))))))))))))) | (8) |
0(3(0(0(2(1(0(0(2(1(2(2(3(2(0(0(2(0(x1)))))))))))))))))) | → | 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x1)))))))))))))))))) | (9) |
0(3(2(0(3(0(0(1(2(1(2(0(1(2(1(3(0(0(x1)))))))))))))))))) | → | 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(x1)))))))))))))))))) | (10) |
0(3(3(0(0(0(1(3(2(2(3(2(1(3(0(0(2(1(x1)))))))))))))))))) | → | 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(x1)))))))))))))))))) | (11) |
1(0(0(1(0(0(3(3(0(0(2(1(2(1(3(3(1(3(x1)))))))))))))))))) | → | 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(x1)))))))))))))))))) | (12) |
1(0(3(1(2(0(3(3(2(1(2(0(0(1(0(2(1(3(x1)))))))))))))))))) | → | 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(x1)))))))))))))))))) | (13) |
1(1(2(0(3(0(1(3(0(2(3(3(3(2(2(3(0(3(x1)))))))))))))))))) | → | 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(x1)))))))))))))))))) | (14) |
1(1(2(0(3(0(2(1(3(3(0(3(3(3(3(3(1(2(x1)))))))))))))))))) | → | 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(x1)))))))))))))))))) | (15) |
1(1(2(1(0(0(3(0(3(1(3(0(1(3(1(3(3(3(x1)))))))))))))))))) | → | 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(x1)))))))))))))))))) | (16) |
1(1(3(2(1(0(0(3(3(1(1(3(2(0(1(2(1(1(x1)))))))))))))))))) | → | 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(x1)))))))))))))))))) | (17) |
1(2(2(3(3(2(0(1(3(1(2(0(3(0(3(2(0(2(x1)))))))))))))))))) | → | 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(x1)))))))))))))))))) | (18) |
1(2(3(1(3(0(1(2(2(0(2(0(1(1(1(1(0(1(x1)))))))))))))))))) | → | 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(x1)))))))))))))))))) | (19) |
1(3(0(1(3(1(2(1(2(1(2(2(2(1(3(0(1(3(x1)))))))))))))))))) | → | 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(x1)))))))))))))))))) | (20) |
1(3(0(3(0(1(3(1(2(1(0(2(1(1(3(0(1(1(x1)))))))))))))))))) | → | 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(x1)))))))))))))))))) | (21) |
1(3(2(1(0(1(2(1(3(1(1(3(3(3(0(2(1(3(x1)))))))))))))))))) | → | 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(x1)))))))))))))))))) | (22) |
1(3(3(0(3(2(1(1(1(0(1(3(2(3(1(1(2(1(x1)))))))))))))))))) | → | 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(x1)))))))))))))))))) | (23) |
1(3(3(1(3(2(2(2(2(2(0(1(2(2(0(3(0(3(x1)))))))))))))))))) | → | 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(x1)))))))))))))))))) | (24) |
1(3(3(3(1(2(0(1(2(0(0(2(1(3(3(3(0(2(x1)))))))))))))))))) | → | 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(x1)))))))))))))))))) | (25) |
2(0(1(2(0(0(0(2(2(1(3(2(1(0(1(0(2(0(x1)))))))))))))))))) | → | 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(x1)))))))))))))))))) | (26) |
2(0(3(2(0(3(1(0(0(0(1(3(0(0(3(0(2(2(x1)))))))))))))))))) | → | 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(x1)))))))))))))))))) | (27) |
2(1(0(0(3(0(0(0(1(3(0(1(3(0(1(3(2(1(x1)))))))))))))))))) | → | 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(x1)))))))))))))))))) | (28) |
2(1(0(1(1(2(2(3(3(2(1(2(1(2(2(3(0(2(x1)))))))))))))))))) | → | 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(x1)))))))))))))))))) | (29) |
2(1(0(2(0(1(0(3(2(1(3(1(1(3(2(2(1(0(x1)))))))))))))))))) | → | 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(x1)))))))))))))))))) | (30) |
2(1(1(1(0(1(0(0(3(3(0(3(2(0(1(2(1(3(x1)))))))))))))))))) | → | 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(x1)))))))))))))))))) | (31) |
2(1(1(3(0(2(1(3(2(2(3(3(3(1(3(2(3(3(x1)))))))))))))))))) | → | 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(x1)))))))))))))))))) | (32) |
2(1(2(2(1(0(1(3(0(1(1(0(0(3(3(2(2(3(x1)))))))))))))))))) | → | 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(x1)))))))))))))))))) | (33) |
2(1(3(0(3(0(1(0(1(3(3(0(1(3(3(0(2(3(x1)))))))))))))))))) | → | 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(x1)))))))))))))))))) | (34) |
2(1(3(1(1(2(1(2(3(0(3(2(0(1(0(1(2(1(x1)))))))))))))))))) | → | 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(x1)))))))))))))))))) | (35) |
2(2(1(0(1(3(2(2(0(2(2(2(2(0(2(2(1(2(x1)))))))))))))))))) | → | 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(x1)))))))))))))))))) | (36) |
2(2(1(2(0(1(3(0(1(1(1(1(2(2(0(0(2(2(x1)))))))))))))))))) | → | 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(x1)))))))))))))))))) | (37) |
2(2(1(2(2(2(2(2(1(3(2(1(3(0(3(3(1(2(x1)))))))))))))))))) | → | 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(x1)))))))))))))))))) | (38) |
2(2(1(2(2(2(3(2(0(3(3(0(1(2(0(2(3(3(x1)))))))))))))))))) | → | 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(x1)))))))))))))))))) | (39) |
2(2(1(2(3(2(1(1(1(0(0(3(3(1(2(2(1(3(x1)))))))))))))))))) | → | 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(x1)))))))))))))))))) | (40) |
2(2(1(3(0(1(3(0(1(2(0(2(2(1(3(2(2(2(x1)))))))))))))))))) | → | 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(x1)))))))))))))))))) | (41) |
2(2(3(0(2(3(1(2(0(2(2(1(3(0(0(1(3(2(x1)))))))))))))))))) | → | 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(x1)))))))))))))))))) | (42) |
2(2(3(1(0(3(0(2(1(3(2(2(2(3(3(3(1(2(x1)))))))))))))))))) | → | 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(x1)))))))))))))))))) | (43) |
2(2(3(1(1(2(0(2(0(3(0(0(2(1(0(1(3(2(x1)))))))))))))))))) | → | 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(x1)))))))))))))))))) | (44) |
2(2(3(1(3(1(3(0(2(1(3(1(2(3(1(3(3(1(x1)))))))))))))))))) | → | 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(x1)))))))))))))))))) | (45) |
2(3(2(1(2(0(3(0(1(3(3(3(0(2(3(0(0(0(x1)))))))))))))))))) | → | 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(x1)))))))))))))))))) | (46) |
2(3(2(1(3(1(2(0(0(1(3(0(1(2(0(3(1(1(x1)))))))))))))))))) | → | 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(x1)))))))))))))))))) | (47) |
2(3(3(1(3(1(0(0(1(1(3(3(3(1(2(2(1(3(x1)))))))))))))))))) | → | 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(x1)))))))))))))))))) | (48) |
3(0(0(3(1(3(3(2(2(1(1(0(2(1(2(0(2(0(x1)))))))))))))))))) | → | 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(x1)))))))))))))))))) | (49) |
3(0(1(0(0(1(3(0(0(1(3(0(1(2(0(3(3(3(x1)))))))))))))))))) | → | 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(x1)))))))))))))))))) | (50) |
3(0(1(0(2(0(3(1(3(3(1(3(3(0(2(2(3(0(x1)))))))))))))))))) | → | 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(x1)))))))))))))))))) | (51) |
3(0(1(3(2(2(3(2(0(1(0(0(3(0(1(0(2(0(x1)))))))))))))))))) | → | 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(x1)))))))))))))))))) | (52) |
3(0(1(3(2(3(3(2(0(1(1(2(0(1(3(1(3(2(x1)))))))))))))))))) | → | 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(x1)))))))))))))))))) | (53) |
3(0(2(1(3(3(0(1(1(3(0(1(2(3(1(2(1(3(x1)))))))))))))))))) | → | 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(x1)))))))))))))))))) | (54) |
3(0(3(0(1(3(0(2(0(1(1(0(1(0(2(3(0(3(x1)))))))))))))))))) | → | 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(x1)))))))))))))))))) | (55) |
3(0(3(2(0(3(1(1(2(1(3(3(2(1(0(3(2(1(x1)))))))))))))))))) | → | 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(x1)))))))))))))))))) | (56) |
3(0(3(2(2(3(2(0(3(0(2(2(1(2(0(2(2(0(x1)))))))))))))))))) | → | 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(x1)))))))))))))))))) | (57) |
3(1(1(3(1(3(3(0(3(1(3(0(2(1(2(2(1(3(x1)))))))))))))))))) | → | 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(x1)))))))))))))))))) | (58) |
3(1(2(0(3(0(1(2(0(3(3(2(3(2(2(1(2(3(x1)))))))))))))))))) | → | 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(x1)))))))))))))))))) | (59) |
3(1(2(3(0(2(2(1(1(3(1(0(0(1(0(2(3(0(x1)))))))))))))))))) | → | 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(x1)))))))))))))))))) | (60) |
3(1(3(3(0(2(2(2(0(1(2(0(1(0(1(2(2(0(x1)))))))))))))))))) | → | 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(x1)))))))))))))))))) | (61) |
3(2(0(1(0(0(0(3(1(3(1(3(3(2(0(1(1(1(x1)))))))))))))))))) | → | 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(x1)))))))))))))))))) | (62) |
3(2(0(1(2(1(2(3(2(3(2(0(2(1(2(1(2(0(x1)))))))))))))))))) | → | 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(x1)))))))))))))))))) | (63) |
3(2(0(2(2(0(0(2(3(0(2(3(0(1(2(2(0(2(x1)))))))))))))))))) | → | 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(x1)))))))))))))))))) | (64) |
3(2(0(2(2(3(0(0(1(3(0(2(0(0(2(1(3(0(x1)))))))))))))))))) | → | 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(x1)))))))))))))))))) | (65) |
3(2(1(2(3(3(1(2(1(1(2(3(0(2(3(1(2(3(x1)))))))))))))))))) | → | 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(x1)))))))))))))))))) | (66) |
3(2(1(3(2(2(3(3(3(2(1(2(0(1(0(1(1(2(x1)))))))))))))))))) | → | 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(x1)))))))))))))))))) | (67) |
3(2(2(3(1(2(2(2(1(3(3(3(0(2(1(3(2(1(x1)))))))))))))))))) | → | 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(x1)))))))))))))))))) | (68) |
3(2(3(1(1(1(3(2(2(1(2(1(0(0(3(1(3(3(x1)))))))))))))))))) | → | 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(x1)))))))))))))))))) | (69) |
3(2(3(2(1(3(0(1(2(1(2(2(1(0(1(1(0(0(x1)))))))))))))))))) | → | 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(x1)))))))))))))))))) | (70) |
3(2(3(3(0(2(3(2(0(2(3(2(2(1(3(3(0(3(x1)))))))))))))))))) | → | 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(x1)))))))))))))))))) | (71) |
3(3(0(1(0(1(3(3(3(2(2(3(3(0(3(3(0(3(x1)))))))))))))))))) | → | 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(x1)))))))))))))))))) | (72) |
3(3(0(2(3(3(0(0(2(1(0(3(0(1(0(1(0(2(x1)))))))))))))))))) | → | 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(x1)))))))))))))))))) | (73) |
3(3(0(3(1(3(3(1(2(0(3(2(2(2(3(2(3(0(x1)))))))))))))))))) | → | 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(x1)))))))))))))))))) | (74) |
3(3(1(1(3(0(2(1(3(2(0(1(2(3(3(3(2(3(x1)))))))))))))))))) | → | 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(x1)))))))))))))))))) | (75) |
3(3(2(0(3(1(2(2(3(1(3(2(3(2(2(1(2(0(x1)))))))))))))))))) | → | 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(x1)))))))))))))))))) | (76) |
3(3(2(0(3(2(1(2(2(1(2(0(1(2(3(3(2(0(x1)))))))))))))))))) | → | 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(x1)))))))))))))))))) | (77) |
3(3(2(1(1(1(1(3(0(0(3(1(2(0(2(2(3(0(x1)))))))))))))))))) | → | 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(x1)))))))))))))))))) | (78) |
3(3(3(0(1(3(3(1(2(3(0(2(1(3(2(1(0(0(x1)))))))))))))))))) | → | 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(x1)))))))))))))))))) | (79) |
3(3(3(1(3(0(3(3(1(3(0(1(0(0(2(1(2(0(x1)))))))))))))))))) | → | 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(x1)))))))))))))))))) | (80) |
and S is the following TRS.
0(1(2(3(x1)))) | → | 0(1(2(3(x1)))) | (81) |
1(3(1(0(2(1(1(0(3(3(2(3(1(1(0(0(0(0(x1)))))))))))))))))) | → | 1(3(2(0(2(3(0(1(3(3(1(0(1(1(1(0(0(0(x1)))))))))))))))))) | (82) |
0(0(0(3(0(1(1(0(0(0(0(0(0(3(2(0(0(0(x1)))))))))))))))))) | → | 0(0(0(0(1(3(0(0(0(2(0(0(0(0(1(3(0(0(x1)))))))))))))))))) | (83) |
2(2(0(1(2(2(1(1(1(3(1(3(1(2(1(1(0(0(x1)))))))))))))))))) | → | 2(2(2(0(1(3(0(2(1(1(1(3(0(1(1(1(1(2(x1)))))))))))))))))) | (84) |
0(3(3(0(0(0(1(2(0(3(0(3(2(0(3(3(0(0(x1)))))))))))))))))) | → | 2(0(2(0(0(3(3(0(3(3(0(0(3(0(1(3(0(0(x1)))))))))))))))))) | (85) |
1(3(1(1(3(1(0(2(0(3(1(0(0(3(1(0(2(0(x1)))))))))))))))))) | → | 1(3(1(0(0(3(3(0(0(1(2(1(1(3(1(0(2(0(x1)))))))))))))))))) | (86) |
3(0(0(3(2(2(3(0(0(2(1(2(1(1(2(0(2(0(x1)))))))))))))))))) | → | 3(0(1(1(0(1(0(3(0(2(2(2(2(0(2(2(3(0(x1)))))))))))))))))) | (87) |
3(0(3(0(0(1(0(0(1(2(3(2(1(1(2(1(2(0(x1)))))))))))))))))) | → | 3(2(0(0(1(3(1(1(2(0(1(2(1(0(0(2(3(0(x1)))))))))))))))))) | (88) |
3(2(1(3(1(3(0(0(1(0(1(2(3(2(1(3(2(0(x1)))))))))))))))))) | → | 3(3(0(2(0(1(3(2(0(1(1(1(2(1(3(3(2(0(x1)))))))))))))))))) | (89) |
0(2(0(0(2(3(2(2(1(2(0(0(1(2(0(0(3(0(x1)))))))))))))))))) | → | 0(2(2(3(1(1(0(2(2(0(3(0(2(0(0(0(2(0(x1)))))))))))))))))) | (90) |
0(0(3(1(2(1(0(2(1(2(1(0(0(3(0(2(3(0(x1)))))))))))))))))) | → | 0(2(1(0(1(1(2(0(3(0(0(1(3(3(0(2(2(0(x1)))))))))))))))))) | (91) |
1(2(0(0(3(1(2(3(2(2(3(1(0(0(0(3(3(0(x1)))))))))))))))))) | → | 1(3(2(3(0(1(3(0(1(3(2(0(3(0(0(2(2(0(x1)))))))))))))))))) | (92) |
3(1(3(3(1(2(1(2(0(0(3(3(0(0(1(0(0(1(x1)))))))))))))))))) | → | 1(1(3(2(1(3(0(1(2(0(0(3(3(0(0(3(0(1(x1)))))))))))))))))) | (93) |
3(1(2(0(1(0(0(2(1(2(3(3(0(2(1(3(0(1(x1)))))))))))))))))) | → | 0(1(2(2(1(2(3(0(1(3(0(2(0(1(3(3(0(1(x1)))))))))))))))))) | (94) |
3(0(3(2(2(3(3(3(2(0(3(1(0(3(0(2(1(1(x1)))))))))))))))))) | → | 3(0(1(1(2(3(0(2(2(3(2(3(0(1(3(0(3(3(x1)))))))))))))))))) | (95) |
2(1(3(3(3(3(3(0(3(3(1(2(0(3(0(2(1(1(x1)))))))))))))))))) | → | 3(2(3(2(3(1(1(3(2(0(1(3(3(0(3(3(0(1(x1)))))))))))))))))) | (96) |
3(3(3(1(3(1(0(3(1(3(0(3(0(0(1(2(1(1(x1)))))))))))))))))) | → | 3(3(3(2(0(3(0(1(1(3(0(3(1(1(1(1(0(3(x1)))))))))))))))))) | (97) |
1(1(2(1(0(2(3(1(1(3(3(0(0(1(2(3(1(1(x1)))))))))))))))))) | → | 1(2(2(0(1(1(1(1(1(3(3(0(0(3(3(2(1(1(x1)))))))))))))))))) | (98) |
2(0(2(3(0(3(0(2(1(3(1(0(2(3(3(2(2(1(x1)))))))))))))))))) | → | 2(2(1(3(0(0(2(2(3(3(2(0(1(3(0(1(3(2(x1)))))))))))))))))) | (99) |
1(0(1(1(1(1(0(2(0(2(2(1(0(3(1(3(2(1(x1)))))))))))))))))) | → | 1(1(3(2(0(1(2(3(0(0(1(1(1(1(0(2(2(1(x1)))))))))))))))))) | (100) |
3(1(0(3(1(2(2(2(1(2(1(2(1(3(1(0(3(1(x1)))))))))))))))))) | → | 3(3(0(1(1(1(2(0(1(3(1(2(2(1(1(2(3(2(x1)))))))))))))))))) | (101) |
1(1(0(3(1(1(2(0(1(2(1(3(1(0(3(0(3(1(x1)))))))))))))))))) | → | 1(1(2(0(3(2(3(1(1(0(1(3(1(3(0(1(0(1(x1)))))))))))))))))) | (102) |
3(1(2(0(3(3(3(1(1(3(1(2(1(0(1(2(3(1(x1)))))))))))))))))) | → | 3(3(0(1(1(3(1(1(3(2(3(2(2(1(1(3(0(1(x1)))))))))))))))))) | (103) |
1(2(1(1(3(2(3(1(0(1(1(1(2(3(0(3(3(1(x1)))))))))))))))))) | → | 1(1(1(1(3(0(2(2(3(2(3(1(1(0(3(1(3(1(x1)))))))))))))))))) | (104) |
3(0(3(0(2(2(1(0(2(2(2(2(2(3(1(3(3(1(x1)))))))))))))))))) | → | 3(2(3(3(3(0(1(2(2(2(2(2(0(1(0(2(3(1(x1)))))))))))))))))) | (105) |
2(0(3(3(3(1(2(0(0(2(1(0(2(1(3(3(3(1(x1)))))))))))))))))) | → | 2(2(3(2(3(0(3(1(0(2(0(3(3(0(1(1(3(1(x1)))))))))))))))))) | (106) |
0(2(0(1(0(1(2(3(1(2(2(0(0(0(2(1(0(2(x1)))))))))))))))))) | → | 0(2(2(2(0(2(3(0(1(0(1(1(0(1(0(2(0(2(x1)))))))))))))))))) | (107) |
2(2(0(3(0(0(3(1(0(0(0(1(3(0(2(3(0(2(x1)))))))))))))))))) | → | 2(2(3(0(1(3(1(3(2(0(0(0(0(0(0(0(3(2(x1)))))))))))))))))) | (108) |
1(2(3(1(0(3(1(0(3(1(0(0(0(3(0(0(1(2(x1)))))))))))))))))) | → | 1(1(2(0(1(0(3(0(0(3(3(2(1(1(0(0(0(3(x1)))))))))))))))))) | (109) |
2(0(3(2(2(1(2(1(2(3(3(2(2(1(1(0(1(2(x1)))))))))))))))))) | → | 2(3(1(1(2(2(3(0(2(2(2(1(0(1(1(2(3(2(x1)))))))))))))))))) | (110) |
0(1(2(2(3(1(1(3(1(2(3(0(1(0(2(0(1(2(x1)))))))))))))))))) | → | 0(1(1(1(3(0(1(0(0(2(1(2(2(3(2(1(3(2(x1)))))))))))))))))) | (111) |
3(1(2(1(0(2(3(0(3(3(0(0(1(0(1(1(1(2(x1)))))))))))))))))) | → | 3(0(1(2(1(1(1(1(0(3(0(0(1(3(0(3(2(2(x1)))))))))))))))))) | (112) |
3(3(2(3(1(3(3(3(2(2(3(1(2(0(3(1(1(2(x1)))))))))))))))))) | → | 3(3(2(3(3(2(3(3(1(1(0(1(2(1(3(3(2(2(x1)))))))))))))))))) | (113) |
3(2(2(3(3(0(0(1(1(0(3(1(0(1(2(2(1(2(x1)))))))))))))))))) | → | 3(0(1(1(0(2(2(2(2(3(1(3(1(0(1(3(0(2(x1)))))))))))))))))) | (114) |
3(2(0(3(3(1(0(3(3(1(0(1(0(3(0(3(1(2(x1)))))))))))))))))) | → | 0(1(3(0(1(1(1(3(2(3(0(0(3(3(0(3(3(2(x1)))))))))))))))))) | (115) |
1(2(1(0(1(0(2(3(0(3(2(1(2(1(1(3(1(2(x1)))))))))))))))))) | → | 1(2(1(2(2(0(2(3(2(1(1(1(1(1(3(0(0(3(x1)))))))))))))))))) | (116) |
2(1(2(2(0(2(2(2(2(0(2(2(3(1(0(1(2(2(x1)))))))))))))))))) | → | 2(1(2(0(2(2(0(1(0(2(2(2(1(2(2(2(3(2(x1)))))))))))))))))) | (117) |
2(2(0(0(2(2(1(1(1(1(0(3(1(0(2(1(2(2(x1)))))))))))))))))) | → | 2(0(1(1(2(1(2(2(1(3(2(2(0(1(1(0(0(2(x1)))))))))))))))))) | (118) |
2(1(3(3(0(3(1(2(3(1(2(2(2(2(2(1(2(2(x1)))))))))))))))))) | → | 2(3(2(1(1(3(2(3(1(2(1(3(2(2(2(0(2(2(x1)))))))))))))))))) | (119) |
3(3(2(0(2(1(0(3(3(0(2(3(2(2(2(1(2(2(x1)))))))))))))))))) | → | 3(0(2(2(3(2(2(2(0(3(2(2(0(1(3(1(3(2(x1)))))))))))))))))) | (120) |
3(1(2(2(1(3(3(0(0(1(1(1(2(3(2(1(2(2(x1)))))))))))))))))) | → | 3(0(2(0(1(3(1(3(2(3(2(1(2(1(1(1(2(2(x1)))))))))))))))))) | (121) |
2(2(2(3(1(2(2(0(2(1(0(3(1(0(3(1(2(2(x1)))))))))))))))))) | → | 2(1(2(2(0(1(0(2(0(2(2(3(3(3(2(2(1(1(x1)))))))))))))))))) | (122) |
2(3(1(0(0(3(1(2(2(0(2(1(3(2(0(3(2(2(x1)))))))))))))))))) | → | 2(3(2(2(0(0(3(0(2(1(1(2(2(3(1(2(0(3(x1)))))))))))))))))) | (123) |
2(1(3(3(3(2(2(2(3(1(2(0(3(0(1(3(2(2(x1)))))))))))))))))) | → | 2(3(3(2(3(3(2(0(1(2(2(3(2(2(3(0(1(1(x1)))))))))))))))))) | (124) |
2(3(1(0(1(2(0(0(3(0(2(0(2(1(1(3(2(2(x1)))))))))))))))))) | → | 0(0(2(2(1(1(1(0(1(3(0(3(0(2(2(3(2(2(x1)))))))))))))))))) | (125) |
1(3(3(1(3(2(1(3(1(2(0(3(1(3(1(3(2(2(x1)))))))))))))))))) | → | 1(0(1(2(3(2(1(1(3(2(3(3(1(3(1(3(3(2(x1)))))))))))))))))) | (126) |
0(0(0(3(2(0(3(3(3(1(0(3(0(2(1(2(3(2(x1)))))))))))))))))) | → | 0(2(0(3(0(2(2(3(3(1(1(3(2(0(3(0(0(3(x1)))))))))))))))))) | (127) |
1(1(3(0(2(1(0(3(1(0(0(2(1(3(1(2(3(2(x1)))))))))))))))))) | → | 1(1(2(2(3(2(3(0(0(0(3(1(0(1(1(3(2(1(x1)))))))))))))))))) | (128) |
3(1(2(2(1(3(3(3(1(1(0(0(1(3(1(3(3(2(x1)))))))))))))))))) | → | 3(0(3(2(3(3(1(1(1(3(0(1(1(3(3(1(2(2(x1)))))))))))))))))) | (129) |
0(2(0(2(1(2(0(1(1(2(2(3(3(1(3(0(0(3(x1)))))))))))))))))) | → | 2(0(1(3(1(1(3(2(0(2(0(2(0(2(0(1(3(3(x1)))))))))))))))))) | (130) |
3(3(3(0(2(1(0(3(1(0(0(3(1(0(0(1(0(3(x1)))))))))))))))))) | → | 3(0(0(3(3(0(3(2(0(1(0(1(3(0(0(3(1(1(x1)))))))))))))))))) | (131) |
0(3(2(2(0(3(3(1(3(3(1(3(0(2(0(1(0(3(x1)))))))))))))))))) | → | 0(3(2(1(1(3(3(2(0(3(3(0(3(0(1(2(0(3(x1)))))))))))))))))) | (132) |
0(2(0(1(0(3(0(0(1(0(2(3(2(2(3(1(0(3(x1)))))))))))))))))) | → | 0(0(1(3(2(3(0(0(0(1(3(0(2(0(2(1(3(2(x1)))))))))))))))))) | (133) |
2(3(1(3(1(0(2(1(1(0(2(3(3(2(3(1(0(3(x1)))))))))))))))))) | → | 3(0(1(1(2(1(3(2(2(0(1(1(3(0(3(3(2(3(x1)))))))))))))))))) | (134) |
3(1(2(1(3(2(1(0(3(1(1(0(3(3(1(2(0(3(x1)))))))))))))))))) | → | 3(3(3(3(0(1(1(1(2(0(1(3(2(3(2(1(1(0(x1)))))))))))))))))) | (135) |
3(0(3(2(0(1(0(1(1(0(2(0(3(1(0(3(0(3(x1)))))))))))))))))) | → | 3(0(3(3(0(0(1(2(3(0(1(0(1(1(2(0(0(3(x1)))))))))))))))))) | (136) |
1(2(3(0(1(2(3(3(1(2(1(1(3(0(2(3(0(3(x1)))))))))))))))))) | → | 1(2(3(3(0(3(3(2(1(2(0(1(1(1(0(3(3(2(x1)))))))))))))))))) | (137) |
0(2(2(0(2(1(2(2(0(3(0(2(3(2(2(3(0(3(x1)))))))))))))))))) | → | 0(2(2(3(2(2(0(2(2(3(2(0(3(0(0(1(2(3(x1)))))))))))))))))) | (138) |
3(1(2(2(1(2(0(3(1(3(0(3(3(1(3(1(1(3(x1)))))))))))))))))) | → | 3(1(1(3(0(3(1(1(3(2(1(1(2(0(2(3(3(3(x1)))))))))))))))))) | (139) |
3(2(1(2(2(3(2(3(3(0(2(1(0(3(0(2(1(3(x1)))))))))))))))))) | → | 3(2(3(2(2(2(3(0(0(0(2(3(1(1(2(3(1(3(x1)))))))))))))))))) | (140) |
0(3(2(0(1(0(0(1(3(1(1(2(2(0(3(2(1(3(x1)))))))))))))))))) | → | 0(2(3(2(2(1(2(1(3(0(1(1(3(0(0(0(1(3(x1)))))))))))))))))) | (141) |
0(2(2(1(0(1(0(2(1(0(2(2(2(0(3(3(1(3(x1)))))))))))))))))) | → | 0(2(2(0(0(0(2(1(1(1(2(1(3(0(2(3(2(3(x1)))))))))))))))))) | (142) |
1(1(1(0(2(3(3(1(3(1(3(0(0(0(1(0(2(3(x1)))))))))))))))))) | → | 1(3(2(3(0(3(0(1(1(0(1(1(1(0(3(0(2(3(x1)))))))))))))))))) | (143) |
0(2(1(2(1(2(0(2(3(2(3(2(1(2(1(0(2(3(x1)))))))))))))))))) | → | 0(2(2(3(2(0(2(2(1(1(3(2(0(2(3(1(1(2(x1)))))))))))))))))) | (144) |
2(0(2(2(1(0(3(2(0(3(2(0(0(2(2(0(2(3(x1)))))))))))))))))) | → | 2(0(0(0(2(3(1(2(0(2(3(0(2(2(2(3(0(2(x1)))))))))))))))))) | (145) |
0(3(1(2(0(0(2(0(3(1(0(0(3(2(2(0(2(3(x1)))))))))))))))))) | → | 2(2(2(0(0(3(1(3(0(3(2(3(0(0(0(0(1(2(x1)))))))))))))))))) | (146) |
3(2(1(3(2(0(3(2(1(1(2(1(3(3(2(1(2(3(x1)))))))))))))))))) | → | 3(2(1(1(3(3(2(2(2(1(3(3(1(1(3(2(0(2(x1)))))))))))))))))) | (147) |
2(1(1(0(1(0(2(1(2(3(3(3(2(2(3(1(2(3(x1)))))))))))))))))) | → | 2(1(2(1(3(2(1(3(3(3(0(2(2(0(1(1(3(2(x1)))))))))))))))))) | (148) |
1(2(3(1(2(0(3(3(3(1(2(2(2(1(3(2(2(3(x1)))))))))))))))))) | → | 1(2(0(3(3(1(1(3(3(2(3(2(2(2(1(2(2(3(x1)))))))))))))))))) | (149) |
3(3(1(3(0(0(1(2(1(2(2(3(1(1(1(3(2(3(x1)))))))))))))))))) | → | 3(1(1(1(3(1(0(2(3(2(1(1(3(0(2(3(2(3(x1)))))))))))))))))) | (150) |
0(0(1(1(0(1(2(2(1(2(1(0(3(1(2(3(2(3(x1)))))))))))))))))) | → | 2(3(1(2(2(3(0(0(0(1(1(1(1(1(0(2(2(3(x1)))))))))))))))))) | (151) |
3(0(3(3(1(2(2(3(2(0(2(3(2(0(3(3(2(3(x1)))))))))))))))))) | → | 3(2(3(0(1(2(2(3(0(0(3(2(3(3(2(2(3(3(x1)))))))))))))))))) | (152) |
3(0(3(3(0(3(3(2(2(3(3(3(1(0(1(0(3(3(x1)))))))))))))))))) | → | 3(0(0(3(3(3(3(2(3(1(0(1(3(2(0(3(3(3(x1)))))))))))))))))) | (153) |
2(0(1(0(1(0(3(0(1(2(0(0(3(3(2(0(3(3(x1)))))))))))))))))) | → | 2(3(0(0(0(0(1(1(1(3(0(2(0(3(3(3(0(2(x1)))))))))))))))))) | (154) |
0(3(2(3(2(2(2(3(0(2(1(3(3(1(3(0(3(3(x1)))))))))))))))))) | → | 2(2(3(3(0(0(3(3(3(2(1(2(3(0(1(3(2(3(x1)))))))))))))))))) | (155) |
3(2(3(3(3(2(1(0(2(3(1(2(0(3(1(1(3(3(x1)))))))))))))))))) | → | 3(3(3(1(3(2(2(2(2(3(3(0(1(1(3(0(1(3(x1)))))))))))))))))) | (156) |
0(2(1(2(2(3(2(3(1(3(2(2(1(3(0(2(3(3(x1)))))))))))))))))) | → | 0(2(1(1(3(2(3(2(2(3(0(2(3(2(3(1(2(3(x1)))))))))))))))))) | (157) |
0(2(3(3(2(1(0(2(1(2(2(1(2(3(0(2(3(3(x1)))))))))))))))))) | → | 0(2(2(3(2(3(3(2(0(1(2(1(2(1(3(3(0(2(x1)))))))))))))))))) | (158) |
0(3(2(2(0(2(1(3(0(0(3(1(1(1(1(2(3(3(x1)))))))))))))))))) | → | 0(3(2(2(3(3(2(1(1(0(2(0(1(0(1(1(3(3(x1)))))))))))))))))) | (159) |
0(0(1(2(3(1(2(0(3(2(1(3(3(1(0(3(3(3(x1)))))))))))))))))) | → | 0(3(2(3(0(3(2(3(2(0(3(1(0(3(1(1(1(3(x1)))))))))))))))))) | (160) |
0(2(1(2(0(0(1(0(3(1(3(3(0(3(1(3(3(3(x1)))))))))))))))))) | → | 0(0(1(3(2(2(0(3(3(0(3(3(1(0(1(1(3(3(x1)))))))))))))))))) | (161) |
{1(☐), 3(☐), 0(☐), 2(☐)}
We obtain the transformed TRSThere are 113 ruless (increase limit for explicit display).
Root-labeling is applied.
We obtain the labeled TRSThere are 452 ruless (increase limit for explicit display).
[13(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 + 2 |
[10(x1)] | = | 1 · x1 + 3 |
[02(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 + 1 |
[33(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 + 3 |
There are 410 ruless (increase limit for explicit display).
[30(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 + 1 |
[32(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 + 1 |
[02(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 + 2 |
[12(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 + 1 |
[20(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 + 1 |
[10(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 + 1 |
[33(x1)] | = | 1 · x1 |
30(00(03(32(22(23(30(00(02(21(12(21(11(12(20(02(20(01(x1)))))))))))))))))) | → | 30(01(11(10(01(10(03(30(02(22(22(22(20(02(22(23(30(01(x1)))))))))))))))))) | (222) |
30(00(03(32(22(23(30(00(02(21(12(21(11(12(20(02(20(03(x1)))))))))))))))))) | → | 30(01(11(10(01(10(03(30(02(22(22(22(20(02(22(23(30(03(x1)))))))))))))))))) | (223) |
30(00(03(32(22(23(30(00(02(21(12(21(11(12(20(02(20(00(x1)))))))))))))))))) | → | 30(01(11(10(01(10(03(30(02(22(22(22(20(02(22(23(30(00(x1)))))))))))))))))) | (224) |
30(00(03(32(22(23(30(00(02(21(12(21(11(12(20(02(20(02(x1)))))))))))))))))) | → | 30(01(11(10(01(10(03(30(02(22(22(22(20(02(22(23(30(02(x1)))))))))))))))))) | (225) |
30(03(30(02(22(21(10(02(22(22(22(22(23(31(13(33(31(11(x1)))))))))))))))))) | → | 32(23(33(33(30(01(12(22(22(22(22(20(01(10(02(23(31(11(x1)))))))))))))))))) | (282) |
30(03(30(02(22(21(10(02(22(22(22(22(23(31(13(33(31(13(x1)))))))))))))))))) | → | 32(23(33(33(30(01(12(22(22(22(22(20(01(10(02(23(31(13(x1)))))))))))))))))) | (283) |
30(03(30(02(22(21(10(02(22(22(22(22(23(31(13(33(31(10(x1)))))))))))))))))) | → | 32(23(33(33(30(01(12(22(22(22(22(20(01(10(02(23(31(10(x1)))))))))))))))))) | (284) |
30(03(30(02(22(21(10(02(22(22(22(22(23(31(13(33(31(12(x1)))))))))))))))))) | → | 32(23(33(33(30(01(12(22(22(22(22(20(01(10(02(23(31(12(x1)))))))))))))))))) | (285) |
23(31(10(00(03(31(12(22(20(02(21(13(32(20(03(32(22(21(x1)))))))))))))))))) | → | 23(32(22(20(00(03(30(02(21(11(12(22(23(31(12(20(03(31(x1)))))))))))))))))) | (350) |
32(21(12(22(23(32(23(33(30(02(21(10(03(30(02(21(13(31(x1)))))))))))))))))) | → | 32(23(32(22(22(23(30(00(00(02(23(31(11(12(23(31(13(31(x1)))))))))))))))))) | (406) |
32(21(12(22(23(32(23(33(30(02(21(10(03(30(02(21(13(33(x1)))))))))))))))))) | → | 32(23(32(22(22(23(30(00(00(02(23(31(11(12(23(31(13(33(x1)))))))))))))))))) | (407) |
32(21(12(22(23(32(23(33(30(02(21(10(03(30(02(21(13(30(x1)))))))))))))))))) | → | 32(23(32(22(22(23(30(00(00(02(23(31(11(12(23(31(13(30(x1)))))))))))))))))) | (408) |
32(21(12(22(23(32(23(33(30(02(21(10(03(30(02(21(13(32(x1)))))))))))))))))) | → | 32(23(32(22(22(23(30(00(00(02(23(31(11(12(23(31(13(32(x1)))))))))))))))))) | (409) |
20(02(22(21(10(03(32(20(03(32(20(00(02(22(20(02(23(33(x1)))))))))))))))))) | → | 20(00(00(02(23(31(12(20(02(23(30(02(22(22(23(30(02(23(x1)))))))))))))))))) | (427) |
20(02(22(21(10(03(32(20(03(32(20(00(02(22(20(02(23(30(x1)))))))))))))))))) | → | 20(00(00(02(23(31(12(20(02(23(30(02(22(22(23(30(02(20(x1)))))))))))))))))) | (428) |
20(02(22(21(10(03(32(20(03(32(20(00(02(22(20(02(23(32(x1)))))))))))))))))) | → | 20(00(00(02(23(31(12(20(02(23(30(02(22(22(23(30(02(22(x1)))))))))))))))))) | (429) |
[21(x1)] | = | 1 · x1 + 1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
21(13(33(33(32(22(22(23(31(12(20(03(30(01(13(32(22(20(x1)))))))))))))))))) | → | 23(33(32(23(33(32(20(01(12(22(23(32(22(23(30(01(11(10(x1)))))))))))))))))) | (356) |
21(13(33(33(32(22(22(23(31(12(20(03(30(01(13(32(22(22(x1)))))))))))))))))) | → | 23(33(32(23(33(32(20(01(12(22(23(32(22(23(30(01(11(12(x1)))))))))))))))))) | (357) |
02(21(12(22(23(32(23(31(13(32(22(21(13(30(02(23(33(31(x1)))))))))))))))))) | → | 02(21(11(13(32(23(32(22(23(30(02(23(32(23(31(12(23(31(x1)))))))))))))))))) | (462) |
02(21(12(22(23(32(23(31(13(32(22(21(13(30(02(23(33(33(x1)))))))))))))))))) | → | 02(21(11(13(32(23(32(22(23(30(02(23(32(23(31(12(23(33(x1)))))))))))))))))) | (463) |
02(21(12(22(23(32(23(31(13(32(22(21(13(30(02(23(33(30(x1)))))))))))))))))) | → | 02(21(11(13(32(23(32(22(23(30(02(23(32(23(31(12(23(30(x1)))))))))))))))))) | (464) |
02(21(12(22(23(32(23(31(13(32(22(21(13(30(02(23(33(32(x1)))))))))))))))))) | → | 02(21(11(13(32(23(32(22(23(30(02(23(32(23(31(12(23(32(x1)))))))))))))))))) | (465) |
[03(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 + 1 |
[12(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
03(32(22(20(02(21(13(30(00(03(31(11(11(11(12(23(33(31(x1)))))))))))))))))) | → | 03(32(22(23(33(32(21(11(10(02(20(01(10(01(11(13(33(31(x1)))))))))))))))))) | (470) |
03(32(22(20(02(21(13(30(00(03(31(11(11(11(12(23(33(33(x1)))))))))))))))))) | → | 03(32(22(23(33(32(21(11(10(02(20(01(10(01(11(13(33(33(x1)))))))))))))))))) | (471) |
03(32(22(20(02(21(13(30(00(03(31(11(11(11(12(23(33(30(x1)))))))))))))))))) | → | 03(32(22(23(33(32(21(11(10(02(20(01(10(01(11(13(33(30(x1)))))))))))))))))) | (472) |
03(32(22(20(02(21(13(30(00(03(31(11(11(11(12(23(33(32(x1)))))))))))))))))) | → | 03(32(22(23(33(32(21(11(10(02(20(01(10(01(11(13(33(32(x1)))))))))))))))))) | (473) |
[10(x1)] | = | 1 · x1 + 1 |
[03(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
10(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(31(x1))))))))))))))))))) | → | 12(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(31(x1))))))))))))))))))) | (642) |
10(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(33(x1))))))))))))))))))) | → | 12(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(33(x1))))))))))))))))))) | (643) |
10(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(30(x1))))))))))))))))))) | → | 12(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(30(x1))))))))))))))))))) | (644) |
10(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(32(x1))))))))))))))))))) | → | 12(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(32(x1))))))))))))))))))) | (645) |
[30(x1)] | = | 1 · x1 + 1 |
[03(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
30(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(31(x1))))))))))))))))))) | → | 32(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(31(x1))))))))))))))))))) | (646) |
30(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(33(x1))))))))))))))))))) | → | 32(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(33(x1))))))))))))))))))) | (647) |
30(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(30(x1))))))))))))))))))) | → | 32(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(30(x1))))))))))))))))))) | (648) |
30(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(32(x1))))))))))))))))))) | → | 32(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(32(x1))))))))))))))))))) | (649) |
[00(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 + 1 |
[30(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
00(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(31(x1))))))))))))))))))) | → | 02(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(31(x1))))))))))))))))))) | (650) |
00(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(33(x1))))))))))))))))))) | → | 02(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(33(x1))))))))))))))))))) | (651) |
00(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(30(x1))))))))))))))))))) | → | 02(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(30(x1))))))))))))))))))) | (652) |
00(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(32(x1))))))))))))))))))) | → | 02(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(32(x1))))))))))))))))))) | (653) |
[20(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 + 1 |
[32(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
20(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(31(x1))))))))))))))))))) | → | 22(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(31(x1))))))))))))))))))) | (654) |
20(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(33(x1))))))))))))))))))) | → | 22(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(33(x1))))))))))))))))))) | (655) |
20(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(30(x1))))))))))))))))))) | → | 22(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(30(x1))))))))))))))))))) | (656) |
20(03(32(23(32(22(22(23(30(02(21(13(33(31(13(30(03(33(32(x1))))))))))))))))))) | → | 22(22(23(33(30(00(03(33(33(32(21(12(23(30(01(13(32(23(32(x1))))))))))))))))))) | (657) |
There are no rules in the TRS. Hence, it is terminating.