Certification Problem

Input (TPDB SRS_Standard/ICFP_2010/130962)

The rewrite relation of the following TRS is considered.

0(0(0(0(1(0(1(2(2(3(3(4(1(2(3(2(3(3(2(2(x1)))))))))))))))))))) → 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(x1)))))))))))))))))))) (1)
0(1(1(1(0(4(1(0(1(2(1(0(1(4(1(1(2(4(4(2(x1)))))))))))))))))))) → 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(x1)))))))))))))))))))) (2)
0(1(1(1(1(2(4(4(0(3(4(4(0(2(0(4(1(1(2(1(x1)))))))))))))))))))) → 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(x1)))))))))))))))))))) (3)
0(1(2(0(4(0(2(0(3(0(2(2(3(2(0(4(3(0(1(2(x1)))))))))))))))))))) → 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(x1)))))))))))))))))))) (4)
0(1(2(2(0(3(1(1(3(2(1(1(1(1(3(4(2(3(0(2(x1)))))))))))))))))))) → 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(x1)))))))))))))))))))) (5)
0(1(3(1(1(2(3(2(4(3(4(1(1(2(3(1(0(4(2(2(x1)))))))))))))))))))) → 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(x1)))))))))))))))))))) (6)
0(1(3(2(3(1(0(0(0(3(3(2(3(3(2(1(0(2(1(2(x1)))))))))))))))))))) → 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(x1)))))))))))))))))))) (7)
0(1(3(3(3(3(0(1(1(2(0(0(4(4(4(3(1(0(0(2(x1)))))))))))))))))))) → 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(x1)))))))))))))))))))) (8)
0(2(0(0(0(4(0(3(1(2(2(4(4(3(3(2(2(2(3(2(x1)))))))))))))))))))) → 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(x1)))))))))))))))))))) (9)
0(2(0(1(2(1(1(0(2(2(0(0(3(4(4(3(1(2(2(1(x1)))))))))))))))))))) → 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(x1)))))))))))))))))))) (10)
0(2(0(2(2(1(3(2(2(0(2(0(0(2(1(0(4(3(3(2(x1)))))))))))))))))))) → 0(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(x1)))))))))))))))))))) (11)
0(2(1(1(3(3(4(4(0(4(3(3(3(0(0(4(1(2(1(1(x1)))))))))))))))))))) → 2(2(1(4(4(2(4(3(0(2(3(4(3(0(0(2(2(2(0(2(x1)))))))))))))))))))) (12)
0(2(2(3(4(2(3(2(3(0(1(3(1(3(2(2(2(1(1(2(x1)))))))))))))))))))) → 4(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(x1)))))))))))))))))))) (13)
0(3(1(0(1(1(2(3(3(1(4(3(3(3(2(1(4(0(2(2(x1)))))))))))))))))))) → 0(4(4(1(1(4(2(1(0(1(4(2(2(0(0(1(0(1(2(1(x1)))))))))))))))))))) (14)
0(3(3(4(1(4(2(3(2(3(0(4(2(3(3(2(2(2(2(1(x1)))))))))))))))))))) → 0(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(x1)))))))))))))))))))) (15)
0(3(4(0(2(0(1(2(3(1(0(4(4(3(1(4(1(3(0(2(x1)))))))))))))))))))) → 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(x1)))))))))))))))))))) (16)
0(3(4(3(2(0(1(1(0(2(3(3(2(1(3(1(1(2(3(2(x1)))))))))))))))))))) → 1(2(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(x1)))))))))))))))))))) (17)
0(4(0(2(0(1(2(1(4(3(1(4(3(3(1(0(3(3(1(2(x1)))))))))))))))))))) → 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(x1)))))))))))))))))))) (18)
0(4(2(0(0(4(2(3(2(3(4(3(4(4(3(3(2(0(2(2(x1)))))))))))))))))))) → 4(0(4(4(2(2(1(1(4(3(4(2(0(2(3(1(2(0(1(2(x1)))))))))))))))))))) (19)
0(4(3(2(4(4(3(4(1(3(3(2(3(1(0(1(2(1(2(2(x1)))))))))))))))))))) → 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(x1)))))))))))))))))))) (20)
0(4(4(0(4(3(0(2(1(2(3(2(2(0(2(0(0(2(2(1(x1)))))))))))))))))))) → 0(2(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(x1)))))))))))))))))))) (21)
1(0(2(1(3(2(3(1(3(3(4(1(3(2(2(0(1(2(3(2(x1)))))))))))))))))))) → 3(3(4(0(4(0(1(0(4(0(1(1(4(4(1(3(3(2(0(2(x1)))))))))))))))))))) (22)
1(0(3(0(0(0(2(3(3(0(4(4(4(0(3(1(1(1(2(1(x1)))))))))))))))))))) → 0(3(2(2(4(3(3(1(0(0(3(3(1(0(3(3(4(4(2(2(x1)))))))))))))))))))) (23)
1(0(3(4(4(4(4(4(1(3(0(1(2(0(2(0(1(1(3(2(x1)))))))))))))))))))) → 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(x1)))))))))))))))))))) (24)
1(0(4(1(4(1(2(2(0(0(0(4(0(1(1(2(3(3(3(2(x1)))))))))))))))))))) → 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(x1)))))))))))))))))))) (25)
1(1(0(3(4(3(2(3(2(3(4(3(2(1(4(4(2(3(0(2(x1)))))))))))))))))))) → 0(3(0(3(4(0(0(1(0(2(1(2(4(0(3(0(3(0(2(2(x1)))))))))))))))))))) (26)
1(1(2(3(0(3(4(2(1(2(4(0(3(2(3(4(4(4(3(2(x1)))))))))))))))))))) → 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(x1)))))))))))))))))))) (27)
1(1(3(4(0(1(4(2(0(3(4(4(0(0(3(0(1(2(3(2(x1)))))))))))))))))))) → 3(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(x1)))))))))))))))))))) (28)
1(2(0(4(1(4(3(0(0(0(3(2(4(4(1(3(0(2(3(2(x1)))))))))))))))))))) → 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(x1)))))))))))))))))))) (29)
1(2(2(1(0(3(2(4(4(1(4(0(0(0(3(1(3(3(2(1(x1)))))))))))))))))))) → 1(4(0(0(3(1(2(0(0(3(0(1(4(4(3(2(4(2(1(1(x1)))))))))))))))))))) (30)
1(2(3(4(2(4(2(3(2(0(2(1(0(2(2(0(4(2(0(2(x1)))))))))))))))))))) → 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(x1)))))))))))))))))))) (31)
1(2(4(4(4(3(1(0(0(2(0(0(4(0(4(4(3(1(0(2(x1)))))))))))))))))))) → 1(2(4(3(0(1(1(0(0(2(0(1(1(3(2(1(4(1(0(2(x1)))))))))))))))))))) (32)
1(3(0(1(3(2(0(4(0(2(0(4(2(0(4(0(2(4(0(2(x1)))))))))))))))))))) → 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(x1)))))))))))))))))))) (33)
1(3(3(1(0(0(1(1(3(2(3(0(0(0(1(1(1(1(0(2(x1)))))))))))))))))))) → 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(x1)))))))))))))))))))) (34)
1(4(0(2(3(0(0(4(4(1(0(0(1(0(2(2(1(1(3(2(x1)))))))))))))))))))) → 4(2(4(1(4(0(3(0(4(3(0(3(3(1(3(0(2(1(2(1(x1)))))))))))))))))))) (35)
1(4(1(3(1(1(0(0(0(0(4(3(0(0(2(0(2(1(1(1(x1)))))))))))))))))))) → 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(x1)))))))))))))))))))) (36)
2(0(0(1(2(3(2(3(0(1(2(4(2(2(1(0(0(3(2(1(x1)))))))))))))))))))) → 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(x1)))))))))))))))))))) (37)
2(0(1(1(0(0(4(2(3(1(0(2(3(0(3(4(0(3(3(2(x1)))))))))))))))))))) → 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(x1)))))))))))))))))))) (38)
2(0(1(2(0(1(0(1(0(4(3(1(4(4(4(0(2(3(3(2(x1)))))))))))))))))))) → 4(1(0(0(1(3(2(0(2(4(1(0(4(0(2(0(3(0(2(2(x1)))))))))))))))))))) (39)
2(0(1(2(0(1(3(2(2(0(4(3(2(2(4(3(0(1(2(1(x1)))))))))))))))))))) → 0(2(2(4(1(4(4(3(1(1(2(4(3(1(2(0(1(2(1(2(x1)))))))))))))))))))) (40)
2(0(2(1(3(3(4(0(1(1(2(0(3(1(3(0(1(2(1(2(x1)))))))))))))))))))) → 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(x1)))))))))))))))))))) (41)
2(0(4(3(4(0(2(1(3(2(0(3(2(0(1(0(4(4(2(2(x1)))))))))))))))))))) → 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(x1)))))))))))))))))))) (42)
2(0(4(4(0(3(3(2(4(0(1(4(2(4(4(4(2(2(2(2(x1)))))))))))))))))))) → 0(2(2(0(1(0(4(3(0(2(4(2(2(4(3(3(1(3(1(2(x1)))))))))))))))))))) (43)
2(0(4(4(2(1(3(3(3(2(0(0(2(3(3(1(4(2(3(2(x1)))))))))))))))))))) → 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(x1)))))))))))))))))))) (44)
2(1(0(1(0(4(2(1(1(1(3(0(4(2(2(0(2(3(2(2(x1)))))))))))))))))))) → 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(x1)))))))))))))))))))) (45)
2(1(0(3(1(4(4(0(4(3(0(4(3(3(4(1(2(3(4(2(x1)))))))))))))))))))) → 1(4(1(4(4(2(2(0(2(3(1(0(1(3(0(0(2(0(2(1(x1)))))))))))))))))))) (46)
2(1(2(0(3(1(4(2(3(0(1(1(4(4(2(0(4(3(2(1(x1)))))))))))))))))))) → 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(x1)))))))))))))))))))) (47)
2(1(2(3(3(2(2(1(2(3(3(2(0(4(3(4(1(0(1(2(x1)))))))))))))))))))) → 3(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(x1)))))))))))))))))))) (48)
2(1(2(3(4(4(0(2(3(2(0(3(2(4(4(4(2(4(2(2(x1)))))))))))))))))))) → 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(x1)))))))))))))))))))) (49)
2(1(3(4(1(3(3(4(2(0(0(1(0(1(2(0(1(0(4(2(x1)))))))))))))))))))) → 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(x1)))))))))))))))))))) (50)
2(2(1(0(1(1(2(0(2(2(0(2(2(1(3(0(4(4(1(2(x1)))))))))))))))))))) → 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(x1)))))))))))))))))))) (51)
2(2(1(2(3(3(2(0(3(0(2(0(4(2(4(1(2(3(0(2(x1)))))))))))))))))))) → 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(x1)))))))))))))))))))) (52)
2(2(2(1(4(3(0(3(2(4(0(4(0(4(1(0(4(2(2(1(x1)))))))))))))))))))) → 1(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(x1)))))))))))))))))))) (53)
2(3(2(0(0(1(0(3(3(1(4(1(3(0(0(3(2(3(4(2(x1)))))))))))))))))))) → 1(2(4(4(0(1(1(4(4(4(2(2(4(4(3(2(0(3(4(2(x1)))))))))))))))))))) (54)
2(3(4(2(2(3(3(4(3(2(0(2(1(0(2(1(4(1(3(2(x1)))))))))))))))))))) → 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(x1)))))))))))))))))))) (55)
2(4(0(3(4(1(1(4(0(2(2(2(3(4(4(3(3(3(0(2(x1)))))))))))))))))))) → 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(x1)))))))))))))))))))) (56)
2(4(0(4(3(1(2(1(2(2(3(0(1(0(1(3(1(3(3(2(x1)))))))))))))))))))) → 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(x1)))))))))))))))))))) (57)
2(4(2(0(3(2(2(4(4(3(0(1(0(3(2(3(2(2(4(2(x1)))))))))))))))))))) → 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(x1)))))))))))))))))))) (58)
2(4(4(0(2(4(2(2(3(1(0(2(0(0(1(1(4(2(2(1(x1)))))))))))))))))))) → 0(2(4(1(4(4(0(2(4(1(1(4(1(3(3(0(3(2(1(2(x1)))))))))))))))))))) (59)
3(0(1(2(3(0(1(2(2(2(0(2(3(3(3(4(3(3(2(1(x1)))))))))))))))))))) → 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(x1)))))))))))))))))))) (60)
3(0(2(3(3(2(0(2(0(1(2(4(3(3(1(4(4(0(2(1(x1)))))))))))))))))))) → 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(x1)))))))))))))))))))) (61)
3(0(3(0(0(0(2(0(1(2(2(4(0(1(2(0(3(2(2(2(x1)))))))))))))))))))) → 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(x1)))))))))))))))))))) (62)
3(0(4(3(2(3(3(2(3(0(1(0(1(0(1(3(1(4(2(1(x1)))))))))))))))))))) → 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(x1)))))))))))))))))))) (63)
3(1(0(2(3(2(2(4(3(0(2(0(4(2(1(0(2(1(1(1(x1)))))))))))))))))))) → 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(x1)))))))))))))))))))) (64)
3(1(1(1(3(3(0(1(3(4(4(2(2(3(1(3(3(4(1(2(x1)))))))))))))))))))) → 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(x1)))))))))))))))))))) (65)
3(1(1(2(0(3(2(0(4(0(0(4(3(4(3(1(1(2(1(1(x1)))))))))))))))))))) → 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(x1)))))))))))))))))))) (66)
3(1(1(2(4(3(1(2(3(0(1(1(1(2(2(3(1(1(3(2(x1)))))))))))))))))))) → 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(x1)))))))))))))))))))) (67)
3(1(3(2(2(4(1(0(3(1(3(0(2(0(0(0(3(3(2(1(x1)))))))))))))))))))) → 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(x1)))))))))))))))))))) (68)
3(2(0(1(4(3(0(2(0(2(2(3(0(1(4(2(1(1(1(2(x1)))))))))))))))))))) → 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(x1)))))))))))))))))))) (69)
3(2(0(3(4(3(1(1(3(2(0(3(0(0(0(1(4(2(4(1(x1)))))))))))))))))))) → 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(x1)))))))))))))))))))) (70)
3(2(1(0(4(1(2(2(0(3(4(3(2(3(4(1(4(0(1(2(x1)))))))))))))))))))) → 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(x1)))))))))))))))))))) (71)
3(2(1(1(1(4(2(4(0(3(1(3(0(2(3(0(4(0(3(2(x1)))))))))))))))))))) → 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(x1)))))))))))))))))))) (72)
3(2(3(1(0(1(4(2(4(3(1(0(4(1(4(3(3(1(0(2(x1)))))))))))))))))))) → 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(x1)))))))))))))))))))) (73)
3(2(3(3(3(4(1(2(1(2(1(2(1(3(1(1(0(1(4(2(x1)))))))))))))))))))) → 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(x1)))))))))))))))))))) (74)
3(2(4(3(2(2(0(2(3(4(0(1(0(4(3(0(3(0(4(2(x1)))))))))))))))))))) → 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(x1)))))))))))))))))))) (75)
3(3(0(2(0(0(1(3(0(2(2(2(4(0(3(1(1(0(0(2(x1)))))))))))))))))))) → 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(x1)))))))))))))))))))) (76)
3(3(0(4(4(2(4(0(4(0(4(2(0(2(2(2(4(0(3(2(x1)))))))))))))))))))) → 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(x1)))))))))))))))))))) (77)
3(3(3(1(3(4(3(0(3(1(3(2(2(4(0(3(4(2(0(2(x1)))))))))))))))))))) → 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(x1)))))))))))))))))))) (78)
3(3(3(2(1(1(3(3(4(2(4(3(2(2(0(3(0(4(2(2(x1)))))))))))))))))))) → 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(x1)))))))))))))))))))) (79)
3(3(3(4(1(1(4(2(3(0(3(4(4(1(2(3(4(1(4(2(x1)))))))))))))))))))) → 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(x1)))))))))))))))))))) (80)
3(4(0(2(2(1(1(0(3(3(1(3(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) → 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(x1)))))))))))))))))))) (81)
3(4(2(2(4(4(0(3(1(4(1(0(4(0(1(0(2(1(0(2(x1)))))))))))))))))))) → 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(x1)))))))))))))))))))) (82)
3(4(4(2(1(1(4(3(4(3(0(3(3(3(2(2(0(3(1(2(x1)))))))))))))))))))) → 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(x1)))))))))))))))))))) (83)
4(0(1(3(3(2(4(3(3(2(0(0(1(2(3(4(2(3(3(2(x1)))))))))))))))))))) → 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(x1)))))))))))))))))))) (84)
4(0(1(4(1(2(1(3(4(2(4(3(3(2(1(1(4(4(2(2(x1)))))))))))))))))))) → 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(x1)))))))))))))))))))) (85)
4(1(0(2(0(0(0(2(3(4(0(4(2(0(2(0(3(4(3(2(x1)))))))))))))))))))) → 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(x1)))))))))))))))))))) (86)
4(1(1(3(2(3(0(3(3(3(4(2(4(4(4(1(0(2(0(2(x1)))))))))))))))))))) → 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(x1)))))))))))))))))))) (87)
4(1(1(4(4(0(1(2(1(0(0(4(4(2(3(3(3(1(3(2(x1)))))))))))))))))))) → 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(x1)))))))))))))))))))) (88)
4(1(3(4(3(2(2(1(1(2(3(0(4(1(1(3(4(3(4(2(x1)))))))))))))))))))) → 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(x1)))))))))))))))))))) (89)
4(2(1(1(0(1(0(0(2(0(3(2(1(0(0(3(0(1(2(2(x1)))))))))))))))))))) → 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(x1)))))))))))))))))))) (90)
4(2(3(0(3(4(1(1(1(1(0(4(1(1(1(3(4(4(2(2(x1)))))))))))))))))))) → 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(x1)))))))))))))))))))) (91)
4(3(0(3(2(3(0(4(3(1(3(4(2(0(3(4(3(2(2(1(x1)))))))))))))))))))) → 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(x1)))))))))))))))))))) (92)
4(3(1(0(2(1(0(4(4(0(3(1(0(0(3(0(4(3(1(2(x1)))))))))))))))))))) → 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(x1)))))))))))))))))))) (93)
4(3(1(1(2(2(1(3(1(0(0(1(1(0(4(2(3(3(0(2(x1)))))))))))))))))))) → 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(x1)))))))))))))))))))) (94)
4(3(3(0(2(4(1(2(2(3(0(0(2(0(0(1(0(3(1(2(x1)))))))))))))))))))) → 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(x1)))))))))))))))))))) (95)
4(3(4(0(2(4(3(2(3(3(1(3(3(4(2(4(0(4(1(2(x1)))))))))))))))))))) → 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(x1)))))))))))))))))))) (96)
4(4(2(4(0(0(2(3(4(3(3(1(4(2(2(3(1(0(2(1(x1)))))))))))))))))))) → 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(x1)))))))))))))))))))) (97)
4(4(3(1(1(3(4(3(2(3(1(1(0(0(0(0(0(0(2(1(x1)))))))))))))))))))) → 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(x1)))))))))))))))))))) (98)
4(4(3(3(4(0(1(0(1(4(0(0(2(3(3(4(0(0(2(1(x1)))))))))))))))))))) → 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(x1)))))))))))))))))))) (99)

Property / Task

Prove or disprove termination.

Answer / Result

Yes.

Proof (by matchbox @ termCOMP 2023)

1 String Reversal

Since only unary symbols occur, one can reverse all terms and obtains the TRS
2(2(3(3(2(3(2(1(4(3(3(2(2(1(0(1(0(0(0(0(x1)))))))))))))))))))) → 2(0(1(3(2(4(1(1(0(0(4(2(4(0(1(2(0(1(3(0(x1)))))))))))))))))))) (100)
2(4(4(2(1(1(4(1(0(1(2(1(0(1(4(0(1(1(1(0(x1)))))))))))))))))))) → 2(0(4(1(1(3(2(2(2(4(1(0(1(4(0(4(2(1(4(4(x1)))))))))))))))))))) (101)
1(2(1(1(4(0(2(0(4(4(3(0(4(4(2(1(1(1(1(0(x1)))))))))))))))))))) → 2(1(0(1(0(1(3(0(2(0(0(4(3(3(4(2(3(4(1(3(x1)))))))))))))))))))) (102)
2(1(0(3(4(0(2(3(2(2(0(3(0(2(0(4(0(2(1(0(x1)))))))))))))))))))) → 1(2(4(2(3(2(2(2(1(4(0(2(2(0(0(1(2(0(3(1(x1)))))))))))))))))))) (103)
2(0(3(2(4(3(1(1(1(1(2(3(1(1(3(0(2(2(1(0(x1)))))))))))))))))))) → 2(3(4(1(2(4(1(3(2(0(1(4(2(3(2(3(3(4(2(4(x1)))))))))))))))))))) (104)
2(2(4(0(1(3(2(1(1(4(3(4(2(3(2(1(1(3(1(0(x1)))))))))))))))))))) → 2(4(2(2(4(1(4(0(2(2(0(1(0(2(3(1(1(0(2(2(x1)))))))))))))))))))) (105)
2(1(2(0(1(2(3(3(2(3(3(0(0(0(1(3(2(3(1(0(x1)))))))))))))))))))) → 1(2(0(2(3(1(4(3(1(2(4(0(4(2(2(0(4(3(0(0(x1)))))))))))))))))))) (106)
2(0(0(1(3(4(4(4(0(0(2(1(1(0(3(3(3(3(1(0(x1)))))))))))))))))))) → 2(3(0(4(3(4(3(0(0(1(0(2(4(3(2(0(4(2(0(2(x1)))))))))))))))))))) (107)
2(3(2(2(2(3(3(4(4(2(2(1(3(0(4(0(0(0(2(0(x1)))))))))))))))))))) → 1(2(1(3(2(3(1(4(0(4(3(1(3(2(0(4(2(2(1(3(x1)))))))))))))))))))) (108)
1(2(2(1(3(4(4(3(0(0(2(2(0(1(1(2(1(0(2(0(x1)))))))))))))))))))) → 2(0(2(4(2(0(2(0(3(0(3(3(2(4(1(0(2(2(0(3(x1)))))))))))))))))))) (109)
2(3(3(4(0(1(2(0(0(2(0(2(2(3(1(2(2(0(2(0(x1)))))))))))))))))))) → 2(4(0(0(4(2(4(2(1(3(0(0(3(2(4(0(0(3(3(0(x1)))))))))))))))))))) (110)
1(1(2(1(4(0(0(3(3(3(4(0(4(4(3(3(1(1(2(0(x1)))))))))))))))))))) → 2(0(2(2(2(0(0(3(4(3(2(0(3(4(2(4(4(1(2(2(x1)))))))))))))))))))) (111)
2(1(1(2(2(2(3(1(3(1(0(3(2(3(2(4(3(2(2(0(x1)))))))))))))))))))) → 2(2(1(0(3(2(1(0(3(0(2(0(1(1(0(4(2(3(0(4(x1)))))))))))))))))))) (112)
2(2(0(4(1(2(3(3(3(4(1(3(3(2(1(1(0(1(3(0(x1)))))))))))))))))))) → 1(2(1(0(1(0(0(2(2(4(1(0(1(2(4(1(1(4(4(0(x1)))))))))))))))))))) (113)
1(2(2(2(2(3(3(2(4(0(3(2(3(2(4(1(4(3(3(0(x1)))))))))))))))))))) → 2(3(2(0(0(4(4(4(2(3(3(0(0(0(3(4(4(2(4(0(x1)))))))))))))))))))) (114)
2(0(3(1(4(1(3(4(4(0(1(3(2(1(0(2(0(4(3(0(x1)))))))))))))))))))) → 2(3(4(1(1(4(1(0(4(3(4(3(0(0(3(3(4(4(0(4(x1)))))))))))))))))))) (115)
2(3(2(1(1(3(1(2(3(3(2(0(1(1(0(2(3(4(3(0(x1)))))))))))))))))))) → 2(2(3(4(0(0(3(3(0(3(3(1(3(1(4(2(4(2(2(1(x1)))))))))))))))))))) (116)
2(1(3(3(0(1(3(3(4(1(3(4(1(2(1(0(2(0(4(0(x1)))))))))))))))))))) → 2(4(4(2(0(2(1(0(4(3(2(4(1(0(4(2(2(0(1(2(x1)))))))))))))))))))) (117)
2(2(0(2(3(3(4(4(3(4(3(2(3(2(4(0(0(2(4(0(x1)))))))))))))))))))) → 2(1(0(2(1(3(2(0(2(4(3(4(1(1(2(2(4(4(0(4(x1)))))))))))))))))))) (118)
2(2(1(2(1(0(1(3(2(3(3(1(4(3(4(4(2(3(4(0(x1)))))))))))))))))))) → 2(3(0(2(4(2(3(0(4(2(1(0(0(1(1(4(0(4(1(1(x1)))))))))))))))))))) (119)
1(2(2(0(0(2(0(2(2(3(2(1(2(0(3(4(0(4(4(0(x1)))))))))))))))))))) → 2(1(0(2(1(3(0(4(2(4(1(1(2(2(2(0(4(1(2(0(x1)))))))))))))))))))) (120)
2(3(2(1(0(2(2(3(1(4(3(3(1(3(2(3(1(2(0(1(x1)))))))))))))))))))) → 2(0(2(3(3(1(4(4(1(1(0(4(0(1(0(4(0(4(3(3(x1)))))))))))))))))))) (121)
1(2(1(1(1(3(0(4(4(4(0(3(3(2(0(0(0(3(0(1(x1)))))))))))))))))))) → 2(2(4(4(3(3(0(1(3(3(0(0(1(3(3(4(2(2(3(0(x1)))))))))))))))))))) (122)
2(3(1(1(0(2(0(2(1(0(3(1(4(4(4(4(4(3(0(1(x1)))))))))))))))))))) → 1(2(0(0(3(2(4(2(0(4(2(4(1(4(3(1(2(3(1(0(x1)))))))))))))))))))) (123)
2(3(3(3(2(1(1(0(4(0(0(0(2(2(1(4(1(4(0(1(x1)))))))))))))))))))) → 2(1(1(1(4(0(4(1(2(2(0(1(3(2(0(4(2(2(2(2(x1)))))))))))))))))))) (124)
2(0(3(2(4(4(1(2(3(4(3(2(3(2(3(4(3(0(1(1(x1)))))))))))))))))))) → 2(2(0(3(0(3(0(4(2(1(2(0(1(0(0(4(3(0(3(0(x1)))))))))))))))))))) (125)
2(3(4(4(4(3(2(3(0(4(2(1(2(4(3(0(3(2(1(1(x1)))))))))))))))))))) → 2(4(2(3(4(1(4(0(3(0(0(0(4(4(1(1(1(2(4(3(x1)))))))))))))))))))) (126)
2(3(2(1(0(3(0(0(4(4(3(0(2(4(1(0(4(3(1(1(x1)))))))))))))))))))) → 2(2(3(3(4(4(0(2(4(1(2(1(4(0(4(1(1(4(0(3(x1)))))))))))))))))))) (127)
2(3(2(0(3(1(4(4(2(3(0(0(0(3(4(1(4(0(2(1(x1)))))))))))))))))))) → 2(1(0(2(0(2(4(1(0(4(2(0(0(2(3(0(2(2(3(1(x1)))))))))))))))))))) (128)
1(2(3(3(1(3(0(0(0(4(1(4(4(2(3(0(1(2(2(1(x1)))))))))))))))))))) → 1(1(2(4(2(3(4(4(1(0(3(0(0(2(1(3(0(0(4(1(x1)))))))))))))))))))) (129)
2(0(2(4(0(2(2(0(1(2(0(2(3(2(4(2(4(3(2(1(x1)))))))))))))))))))) → 2(0(0(4(2(0(4(3(1(2(0(0(0(4(4(0(4(1(1(1(x1)))))))))))))))))))) (130)
2(0(1(3(4(4(0(4(0(0(2(0(0(1(3(4(4(4(2(1(x1)))))))))))))))))))) → 2(0(1(4(1(2(3(1(1(0(2(0(0(1(1(0(3(4(2(1(x1)))))))))))))))))))) (131)
2(0(4(2(0(4(0(2(4(0(2(0(4(0(2(3(1(0(3(1(x1)))))))))))))))))))) → 2(4(4(1(1(0(2(1(0(1(0(4(3(1(2(2(3(0(3(4(x1)))))))))))))))))))) (132)
2(0(1(1(1(1(0(0(0(3(2(3(1(1(0(0(1(3(3(1(x1)))))))))))))))))))) → 1(2(2(0(2(3(3(3(4(4(2(4(3(4(1(1(4(0(3(1(x1)))))))))))))))))))) (133)
2(3(1(1(2(2(0(1(0(0(1(4(4(0(0(3(2(0(4(1(x1)))))))))))))))))))) → 1(2(1(2(0(3(1(3(3(0(3(4(0(3(0(4(1(4(2(4(x1)))))))))))))))))))) (134)
1(1(1(2(0(2(0(0(3(4(0(0(0(0(1(1(3(1(4(1(x1)))))))))))))))))))) → 1(2(4(4(2(0(1(4(2(0(3(4(3(3(0(0(2(4(1(2(x1)))))))))))))))))))) (135)
1(2(3(0(0(1(2(2(4(2(1(0(3(2(3(2(1(0(0(2(x1)))))))))))))))))))) → 2(4(3(4(2(4(0(1(0(3(4(0(0(3(2(1(1(0(4(2(x1)))))))))))))))))))) (136)
2(3(3(0(4(3(0(3(2(0(1(3(2(4(0(0(1(1(0(2(x1)))))))))))))))))))) → 2(0(2(3(1(4(4(0(4(2(1(4(0(3(0(2(3(1(4(3(x1)))))))))))))))))))) (137)
2(3(3(2(0(4(4(4(1(3(4(0(1(0(1(0(2(1(0(2(x1)))))))))))))))))))) → 2(2(0(3(0(2(0(4(0(1(4(2(0(2(3(1(0(0(1(4(x1)))))))))))))))))))) (138)
1(2(1(0(3(4(2(2(3(4(0(2(2(3(1(0(2(1(0(2(x1)))))))))))))))))))) → 2(1(2(1(0(2(1(3(4(2(1(1(3(4(4(1(4(2(2(0(x1)))))))))))))))))))) (139)
2(1(2(1(0(3(1(3(0(2(1(1(0(4(3(3(1(2(0(2(x1)))))))))))))))))))) → 2(4(2(2(1(1(3(3(3(2(0(2(3(4(1(1(0(2(2(2(x1)))))))))))))))))))) (140)
2(2(4(4(0(1(0(2(3(0(2(3(1(2(0(4(3(4(0(2(x1)))))))))))))))))))) → 2(2(2(3(2(4(0(4(4(0(4(2(1(1(0(4(2(3(0(4(x1)))))))))))))))))))) (141)
2(2(2(2(4(4(4(2(4(1(0(4(2(3(3(0(4(4(0(2(x1)))))))))))))))))))) → 2(1(3(1(3(3(4(2(2(4(2(0(3(4(0(1(0(2(2(0(x1)))))))))))))))))))) (142)
2(3(2(4(1(3(3(2(0(0(2(3(3(3(1(2(4(4(0(2(x1)))))))))))))))))))) → 2(3(0(2(1(0(3(1(4(1(4(2(0(2(1(2(1(2(0(0(x1)))))))))))))))))))) (143)
2(2(3(2(0(2(2(4(0(3(1(1(1(2(4(0(1(0(1(2(x1)))))))))))))))))))) → 2(3(1(4(1(1(3(1(1(1(2(1(2(1(3(1(3(0(2(3(x1)))))))))))))))))))) (144)
2(4(3(2(1(4(3(3(4(0(3(4(0(4(4(1(3(0(1(2(x1)))))))))))))))))))) → 1(2(0(2(0(0(3(1(0(1(3(2(0(2(2(4(4(1(4(1(x1)))))))))))))))))))) (145)
1(2(3(4(0(2(4(4(1(1(0(3(2(4(1(3(0(2(1(2(x1)))))))))))))))))))) → 2(4(1(2(0(0(4(1(4(1(1(1(3(4(1(0(4(3(2(1(x1)))))))))))))))))))) (146)
2(1(0(1(4(3(4(0(2(3(3(2(1(2(2(3(3(2(1(2(x1)))))))))))))))))))) → 2(1(1(1(4(2(0(1(4(4(0(2(1(0(2(0(4(1(4(3(x1)))))))))))))))))))) (147)
2(2(4(2(4(4(4(2(3(0(2(3(2(0(4(4(3(2(1(2(x1)))))))))))))))))))) → 2(3(2(2(1(4(2(2(1(4(1(2(2(3(3(1(3(3(1(1(x1)))))))))))))))))))) (148)
2(4(0(1(0(2(1(0(1(0(0(2(4(3(3(1(4(3(1(2(x1)))))))))))))))))))) → 2(2(1(0(4(2(1(2(3(1(0(4(1(0(1(1(2(1(1(2(x1)))))))))))))))))))) (149)
2(1(4(4(0(3(1(2(2(0(2(2(0(2(1(1(0(1(2(2(x1)))))))))))))))))))) → 2(1(3(4(4(2(2(1(1(3(0(2(1(2(0(4(2(1(2(1(x1)))))))))))))))))))) (150)
2(0(3(2(1(4(2(4(0(2(0(3(0(2(3(3(2(1(2(2(x1)))))))))))))))))))) → 2(1(4(1(2(1(4(1(2(4(3(3(0(1(2(2(0(1(4(0(x1)))))))))))))))))))) (151)
1(2(2(4(0(1(4(0(4(0(4(2(3(0(3(4(1(2(2(2(x1)))))))))))))))))))) → 2(4(2(3(1(3(4(1(2(3(0(2(1(2(4(4(2(4(1(1(x1)))))))))))))))))))) (152)
2(4(3(2(3(0(0(3(1(4(1(3(3(0(1(0(0(2(3(2(x1)))))))))))))))))))) → 2(4(3(0(2(3(4(4(2(2(4(4(4(1(1(0(4(4(2(1(x1)))))))))))))))))))) (153)
2(3(1(4(1(2(0(1(2(0(2(3(4(3(3(2(2(4(3(2(x1)))))))))))))))))))) → 1(1(2(4(1(4(0(1(0(3(1(1(1(1(3(1(4(0(4(1(x1)))))))))))))))))))) (154)
2(0(3(3(3(4(4(3(2(2(2(0(4(1(1(4(3(0(4(2(x1)))))))))))))))))))) → 2(2(2(2(3(1(1(4(2(4(0(3(3(4(1(1(0(0(1(0(x1)))))))))))))))))))) (155)
2(3(3(1(3(1(0(1(0(3(2(2(1(2(1(3(4(0(4(2(x1)))))))))))))))))))) → 2(1(0(1(1(3(3(3(4(2(2(2(4(1(4(1(4(4(2(0(x1)))))))))))))))))))) (156)
2(4(2(2(3(2(3(0(1(0(3(4(4(2(2(3(0(2(4(2(x1)))))))))))))))))))) → 2(0(1(4(2(4(2(0(0(3(2(3(0(1(4(2(0(4(0(3(x1)))))))))))))))))))) (157)
1(2(2(4(1(1(0(0(2(0(1(3(2(2(4(2(0(4(4(2(x1)))))))))))))))))))) → 2(1(2(3(0(3(3(1(4(1(1(4(2(0(4(4(1(4(2(0(x1)))))))))))))))))))) (158)
1(2(3(3(4(3(3(3(2(0(2(2(2(1(0(3(2(1(0(3(x1)))))))))))))))))))) → 2(3(0(4(4(3(3(1(1(1(1(2(1(0(1(3(1(3(2(0(x1)))))))))))))))))))) (159)
1(2(0(4(4(1(3(3(4(2(1(0(2(0(2(3(3(2(0(3(x1)))))))))))))))))))) → 2(1(4(1(1(1(0(3(4(2(4(0(3(3(1(1(1(2(0(2(x1)))))))))))))))))))) (160)
2(2(2(3(0(2(1(0(4(2(2(1(0(2(0(0(0(3(0(3(x1)))))))))))))))))))) → 2(4(2(4(4(1(2(3(0(2(4(4(1(4(2(4(4(2(4(4(x1)))))))))))))))))))) (161)
1(2(4(1(3(1(0(1(0(1(0(3(2(3(3(2(3(4(0(3(x1)))))))))))))))))))) → 2(1(1(2(4(0(4(4(1(3(3(1(0(1(4(1(2(3(1(4(x1)))))))))))))))))))) (162)
1(1(1(2(0(1(2(4(0(2(0(3(4(2(2(3(2(0(1(3(x1)))))))))))))))))))) → 2(2(1(1(2(3(4(4(2(3(4(3(1(1(4(0(1(0(4(1(x1)))))))))))))))))))) (163)
2(1(4(3(3(1(3(2(2(4(4(3(1(0(3(3(1(1(1(3(x1)))))))))))))))))))) → 2(2(2(3(2(2(0(0(2(4(1(4(3(1(1(2(1(1(4(1(x1)))))))))))))))))))) (164)
1(1(2(1(1(3(4(3(4(0(0(4(0(2(3(0(2(1(1(3(x1)))))))))))))))))))) → 2(4(3(4(0(3(1(1(3(3(3(4(4(3(4(2(1(0(2(4(x1)))))))))))))))))))) (165)
2(3(1(1(3(2(2(1(1(1(0(3(2(1(3(4(2(1(1(3(x1)))))))))))))))))))) → 2(0(0(0(4(1(4(3(4(2(4(2(1(1(0(3(1(0(0(4(x1)))))))))))))))))))) (166)
1(2(3(3(0(0(0(2(0(3(1(3(0(1(4(2(2(3(1(3(x1)))))))))))))))))))) → 2(3(4(2(0(4(4(3(2(2(2(4(1(2(3(1(2(0(3(1(x1)))))))))))))))))))) (167)
2(1(1(1(2(4(1(0(3(2(2(0(2(0(3(4(1(0(2(3(x1)))))))))))))))))))) → 1(2(3(4(2(4(4(2(3(0(0(3(0(4(2(2(2(1(3(0(x1)))))))))))))))))))) (168)
1(4(2(4(1(0(0(0(3(0(2(3(1(1(3(4(3(0(2(3(x1)))))))))))))))))))) → 1(2(0(0(1(4(2(1(0(3(3(0(0(3(4(2(0(2(3(3(x1)))))))))))))))))))) (169)
2(1(0(4(1(4(3(2(3(4(3(0(2(2(1(4(0(1(2(3(x1)))))))))))))))))))) → 2(4(3(4(3(4(3(2(2(1(3(3(3(4(2(3(3(4(2(0(x1)))))))))))))))))))) (170)
2(3(0(4(0(3(2(0(3(1(3(0(4(2(4(1(1(1(2(3(x1)))))))))))))))))))) → 2(2(2(4(2(0(3(4(4(4(1(1(2(2(3(4(0(3(0(3(x1)))))))))))))))))))) (171)
2(0(1(3(3(4(1(4(0(1(3(4(2(4(1(0(1(3(2(3(x1)))))))))))))))))))) → 2(1(1(0(4(4(1(4(2(0(1(4(4(4(0(2(2(1(0(0(x1)))))))))))))))))))) (172)
2(4(1(0(1(1(3(1(2(1(2(1(2(1(4(3(3(3(2(3(x1)))))))))))))))))))) → 2(4(1(2(0(0(3(4(4(4(2(4(4(4(4(0(0(1(0(3(x1)))))))))))))))))))) (173)
2(4(0(3(0(3(4(0(1(0(4(3(2(0(2(2(3(4(2(3(x1)))))))))))))))))))) → 2(1(1(0(1(1(0(0(1(1(0(4(1(3(2(4(0(2(1(0(x1)))))))))))))))))))) (174)
2(0(0(1(1(3(0(4(2(2(2(0(3(1(0(0(2(0(3(3(x1)))))))))))))))))))) → 2(4(2(2(0(0(2(0(1(1(4(1(0(4(2(3(1(2(0(4(x1)))))))))))))))))))) (175)
2(3(0(4(2(2(2(0(2(4(0(4(0(4(2(4(4(0(3(3(x1)))))))))))))))))))) → 2(2(4(3(4(1(4(2(2(3(1(0(4(4(1(1(1(0(1(0(x1)))))))))))))))))))) (176)
2(0(2(4(3(0(4(2(2(3(1(3(0(3(4(3(1(3(3(3(x1)))))))))))))))))))) → 2(4(0(1(0(3(3(3(2(3(2(4(3(4(2(0(1(4(0(4(x1)))))))))))))))))))) (177)
2(2(4(0(3(0(2(2(3(4(2(4(3(3(1(1(2(3(3(3(x1)))))))))))))))))))) → 1(2(2(4(0(4(3(3(0(4(4(2(3(4(4(4(2(4(3(1(x1)))))))))))))))))))) (178)
2(4(1(4(3(2(1(4(4(3(0(3(2(4(1(1(4(3(3(3(x1)))))))))))))))))))) → 2(1(0(1(4(3(3(1(1(0(2(1(4(3(2(1(3(4(2(0(x1)))))))))))))))))))) (179)
2(0(2(1(1(2(2(2(3(1(3(3(0(1(1(2(2(0(4(3(x1)))))))))))))))))))) → 2(1(4(2(1(4(2(3(3(0(4(1(2(0(2(4(3(2(0(3(x1)))))))))))))))))))) (180)
2(0(1(2(0(1(0(4(0(1(4(1(3(0(4(4(2(2(4(3(x1)))))))))))))))))))) → 2(4(2(3(3(0(4(1(1(4(3(2(0(3(0(2(1(4(2(0(x1)))))))))))))))))))) (181)
2(1(3(0(2(2(3(3(3(0(3(4(3(4(1(1(2(4(4(3(x1)))))))))))))))))))) → 2(3(2(3(2(0(1(0(2(2(2(3(4(1(3(2(3(0(4(2(x1)))))))))))))))))))) (182)
2(3(3(2(4(3(2(1(0(0(2(3(3(4(2(3(3(1(0(4(x1)))))))))))))))))))) → 2(2(1(3(2(3(1(2(3(4(1(2(4(1(0(3(0(3(4(2(x1)))))))))))))))))))) (183)
2(2(4(4(1(1(2(3(3(4(2(4(3(1(2(1(4(1(0(4(x1)))))))))))))))))))) → 1(2(3(1(0(0(4(1(1(0(2(1(1(1(4(2(4(3(2(4(x1)))))))))))))))))))) (184)
2(3(4(3(0(2(0(2(4(0(4(3(2(0(0(0(2(0(1(4(x1)))))))))))))))))))) → 2(0(4(2(0(0(2(2(2(1(4(0(0(2(2(4(1(1(1(2(x1)))))))))))))))))))) (185)
2(0(2(0(1(4(4(4(2(4(3(3(3(0(3(2(3(1(1(4(x1)))))))))))))))))))) → 2(2(3(1(0(3(0(4(4(0(4(1(3(0(0(1(4(4(4(4(x1)))))))))))))))))))) (186)
2(3(1(3(3(3(2(4(4(0(0(1(2(1(0(4(4(1(1(4(x1)))))))))))))))))))) → 2(4(3(3(4(1(2(2(3(3(4(2(1(4(4(2(4(0(1(3(x1)))))))))))))))))))) (187)
2(4(3(4(3(1(1(4(0(3(2(1(1(2(2(3(4(3(1(4(x1)))))))))))))))))))) → 2(1(3(3(0(4(4(2(4(0(0(3(2(0(4(1(1(2(4(2(x1)))))))))))))))))))) (188)
2(2(1(0(3(0(0(1(2(3(0(2(0(0(1(0(1(1(2(4(x1)))))))))))))))))))) → 1(2(3(3(1(4(1(0(0(0(1(4(2(4(1(0(1(4(0(0(x1)))))))))))))))))))) (189)
2(2(4(4(3(1(1(1(4(0(1(1(1(1(4(3(0(3(2(4(x1)))))))))))))))))))) → 2(0(0(4(2(0(0(1(1(4(1(1(2(4(4(2(3(3(0(2(x1)))))))))))))))))))) (190)
1(2(2(3(4(3(0(2(4(3(1(3(4(0(3(2(3(0(3(4(x1)))))))))))))))))))) → 2(2(0(2(3(0(2(0(0(1(0(0(1(4(2(3(3(4(3(0(x1)))))))))))))))))))) (191)
2(1(3(4(0(3(0(0(1(3(0(4(4(0(1(2(0(1(3(4(x1)))))))))))))))))))) → 2(3(1(1(3(4(2(1(3(0(0(3(0(0(2(0(4(3(1(0(x1)))))))))))))))))))) (192)
2(0(3(3(2(4(0(1(1(0(0(1(3(1(2(2(1(1(3(4(x1)))))))))))))))))))) → 2(4(2(2(4(1(3(1(3(1(2(1(2(1(1(4(1(3(3(0(x1)))))))))))))))))))) (193)
2(1(3(0(1(0(0(2(0(0(3(2(2(1(4(2(0(3(3(4(x1)))))))))))))))))))) → 2(1(0(2(2(3(2(0(4(1(1(3(3(4(1(1(3(2(0(4(x1)))))))))))))))))))) (194)
2(1(4(0(4(2(4(3(3(1(3(3(2(3(4(2(0(4(3(4(x1)))))))))))))))))))) → 2(1(4(4(1(1(2(4(1(2(0(3(4(4(0(1(4(3(4(4(x1)))))))))))))))))))) (195)
1(2(0(1(3(2(2(4(1(3(3(4(3(2(0(0(4(2(4(4(x1)))))))))))))))))))) → 1(2(1(2(2(1(3(2(3(2(0(4(1(1(4(4(4(1(4(4(x1)))))))))))))))))))) (196)
1(2(0(0(0(0(0(0(1(1(3(2(3(4(3(1(1(3(4(4(x1)))))))))))))))))))) → 2(1(4(4(0(0(2(3(2(2(1(3(4(2(0(3(1(0(4(0(x1)))))))))))))))))))) (197)
1(2(0(0(4(3(3(2(0(0(4(1(0(1(0(4(3(3(4(4(x1)))))))))))))))))))) → 2(3(4(2(2(3(4(1(0(0(2(1(1(1(1(0(2(1(0(1(x1)))))))))))))))))))) (198)

1.1 Dependency Pair Transformation

The following set of initial dependency pairs has been identified.

There are 883 ruless (increase limit for explicit display).

1.1.1 Monotonic Reduction Pair Processor with Usable Rules

Using the matrix interpretations of dimension 1 with strict dimension 1 over the rationals with delta = 1
[4(x1)] = x1 +
1
[3(x1)] = x1 +
1
[2(x1)] = x1 +
1
[1(x1)] = x1 +
1
[0(x1)] = x1 +
1
[2#(x1)] = x1 +
0
[1#(x1)] = x1 +
0
together with the usable rules
2(2(3(3(2(3(2(1(4(3(3(2(2(1(0(1(0(0(0(0(x1)))))))))))))))))))) → 2(0(1(3(2(4(1(1(0(0(4(2(4(0(1(2(0(1(3(0(x1)))))))))))))))))))) (100)
2(4(4(2(1(1(4(1(0(1(2(1(0(1(4(0(1(1(1(0(x1)))))))))))))))))))) → 2(0(4(1(1(3(2(2(2(4(1(0(1(4(0(4(2(1(4(4(x1)))))))))))))))))))) (101)
1(2(1(1(4(0(2(0(4(4(3(0(4(4(2(1(1(1(1(0(x1)))))))))))))))))))) → 2(1(0(1(0(1(3(0(2(0(0(4(3(3(4(2(3(4(1(3(x1)))))))))))))))))))) (102)
2(1(0(3(4(0(2(3(2(2(0(3(0(2(0(4(0(2(1(0(x1)))))))))))))))))))) → 1(2(4(2(3(2(2(2(1(4(0(2(2(0(0(1(2(0(3(1(x1)))))))))))))))))))) (103)
2(0(3(2(4(3(1(1(1(1(2(3(1(1(3(0(2(2(1(0(x1)))))))))))))))))))) → 2(3(4(1(2(4(1(3(2(0(1(4(2(3(2(3(3(4(2(4(x1)))))))))))))))))))) (104)
2(2(4(0(1(3(2(1(1(4(3(4(2(3(2(1(1(3(1(0(x1)))))))))))))))))))) → 2(4(2(2(4(1(4(0(2(2(0(1(0(2(3(1(1(0(2(2(x1)))))))))))))))))))) (105)
2(1(2(0(1(2(3(3(2(3(3(0(0(0(1(3(2(3(1(0(x1)))))))))))))))))))) → 1(2(0(2(3(1(4(3(1(2(4(0(4(2(2(0(4(3(0(0(x1)))))))))))))))))))) (106)
2(0(0(1(3(4(4(4(0(0(2(1(1(0(3(3(3(3(1(0(x1)))))))))))))))))))) → 2(3(0(4(3(4(3(0(0(1(0(2(4(3(2(0(4(2(0(2(x1)))))))))))))))))))) (107)
2(3(2(2(2(3(3(4(4(2(2(1(3(0(4(0(0(0(2(0(x1)))))))))))))))))))) → 1(2(1(3(2(3(1(4(0(4(3(1(3(2(0(4(2(2(1(3(x1)))))))))))))))))))) (108)
1(2(2(1(3(4(4(3(0(0(2(2(0(1(1(2(1(0(2(0(x1)))))))))))))))))))) → 2(0(2(4(2(0(2(0(3(0(3(3(2(4(1(0(2(2(0(3(x1)))))))))))))))))))) (109)
2(3(3(4(0(1(2(0(0(2(0(2(2(3(1(2(2(0(2(0(x1)))))))))))))))))))) → 2(4(0(0(4(2(4(2(1(3(0(0(3(2(4(0(0(3(3(0(x1)))))))))))))))))))) (110)
1(1(2(1(4(0(0(3(3(3(4(0(4(4(3(3(1(1(2(0(x1)))))))))))))))))))) → 2(0(2(2(2(0(0(3(4(3(2(0(3(4(2(4(4(1(2(2(x1)))))))))))))))))))) (111)
2(1(1(2(2(2(3(1(3(1(0(3(2(3(2(4(3(2(2(0(x1)))))))))))))))))))) → 2(2(1(0(3(2(1(0(3(0(2(0(1(1(0(4(2(3(0(4(x1)))))))))))))))))))) (112)
2(2(0(4(1(2(3(3(3(4(1(3(3(2(1(1(0(1(3(0(x1)))))))))))))))))))) → 1(2(1(0(1(0(0(2(2(4(1(0(1(2(4(1(1(4(4(0(x1)))))))))))))))))))) (113)
1(2(2(2(2(3(3(2(4(0(3(2(3(2(4(1(4(3(3(0(x1)))))))))))))))))))) → 2(3(2(0(0(4(4(4(2(3(3(0(0(0(3(4(4(2(4(0(x1)))))))))))))))))))) (114)
2(0(3(1(4(1(3(4(4(0(1(3(2(1(0(2(0(4(3(0(x1)))))))))))))))))))) → 2(3(4(1(1(4(1(0(4(3(4(3(0(0(3(3(4(4(0(4(x1)))))))))))))))))))) (115)
2(3(2(1(1(3(1(2(3(3(2(0(1(1(0(2(3(4(3(0(x1)))))))))))))))))))) → 2(2(3(4(0(0(3(3(0(3(3(1(3(1(4(2(4(2(2(1(x1)))))))))))))))))))) (116)
2(1(3(3(0(1(3(3(4(1(3(4(1(2(1(0(2(0(4(0(x1)))))))))))))))))))) → 2(4(4(2(0(2(1(0(4(3(2(4(1(0(4(2(2(0(1(2(x1)))))))))))))))))))) (117)
2(2(0(2(3(3(4(4(3(4(3(2(3(2(4(0(0(2(4(0(x1)))))))))))))))))))) → 2(1(0(2(1(3(2(0(2(4(3(4(1(1(2(2(4(4(0(4(x1)))))))))))))))))))) (118)
2(2(1(2(1(0(1(3(2(3(3(1(4(3(4(4(2(3(4(0(x1)))))))))))))))))))) → 2(3(0(2(4(2(3(0(4(2(1(0(0(1(1(4(0(4(1(1(x1)))))))))))))))))))) (119)
1(2(2(0(0(2(0(2(2(3(2(1(2(0(3(4(0(4(4(0(x1)))))))))))))))))))) → 2(1(0(2(1(3(0(4(2(4(1(1(2(2(2(0(4(1(2(0(x1)))))))))))))))))))) (120)
2(3(2(1(0(2(2(3(1(4(3(3(1(3(2(3(1(2(0(1(x1)))))))))))))))))))) → 2(0(2(3(3(1(4(4(1(1(0(4(0(1(0(4(0(4(3(3(x1)))))))))))))))))))) (121)
1(2(1(1(1(3(0(4(4(4(0(3(3(2(0(0(0(3(0(1(x1)))))))))))))))))))) → 2(2(4(4(3(3(0(1(3(3(0(0(1(3(3(4(2(2(3(0(x1)))))))))))))))))))) (122)
2(3(1(1(0(2(0(2(1(0(3(1(4(4(4(4(4(3(0(1(x1)))))))))))))))))))) → 1(2(0(0(3(2(4(2(0(4(2(4(1(4(3(1(2(3(1(0(x1)))))))))))))))))))) (123)
2(3(3(3(2(1(1(0(4(0(0(0(2(2(1(4(1(4(0(1(x1)))))))))))))))))))) → 2(1(1(1(4(0(4(1(2(2(0(1(3(2(0(4(2(2(2(2(x1)))))))))))))))))))) (124)
2(0(3(2(4(4(1(2(3(4(3(2(3(2(3(4(3(0(1(1(x1)))))))))))))))))))) → 2(2(0(3(0(3(0(4(2(1(2(0(1(0(0(4(3(0(3(0(x1)))))))))))))))))))) (125)
2(3(4(4(4(3(2(3(0(4(2(1(2(4(3(0(3(2(1(1(x1)))))))))))))))))))) → 2(4(2(3(4(1(4(0(3(0(0(0(4(4(1(1(1(2(4(3(x1)))))))))))))))))))) (126)
2(3(2(1(0(3(0(0(4(4(3(0(2(4(1(0(4(3(1(1(x1)))))))))))))))))))) → 2(2(3(3(4(4(0(2(4(1(2(1(4(0(4(1(1(4(0(3(x1)))))))))))))))))))) (127)
2(3(2(0(3(1(4(4(2(3(0(0(0(3(4(1(4(0(2(1(x1)))))))))))))))))))) → 2(1(0(2(0(2(4(1(0(4(2(0(0(2(3(0(2(2(3(1(x1)))))))))))))))))))) (128)
1(2(3(3(1(3(0(0(0(4(1(4(4(2(3(0(1(2(2(1(x1)))))))))))))))))))) → 1(1(2(4(2(3(4(4(1(0(3(0(0(2(1(3(0(0(4(1(x1)))))))))))))))))))) (129)
2(0(2(4(0(2(2(0(1(2(0(2(3(2(4(2(4(3(2(1(x1)))))))))))))))))))) → 2(0(0(4(2(0(4(3(1(2(0(0(0(4(4(0(4(1(1(1(x1)))))))))))))))))))) (130)
2(0(1(3(4(4(0(4(0(0(2(0(0(1(3(4(4(4(2(1(x1)))))))))))))))))))) → 2(0(1(4(1(2(3(1(1(0(2(0(0(1(1(0(3(4(2(1(x1)))))))))))))))))))) (131)
2(0(4(2(0(4(0(2(4(0(2(0(4(0(2(3(1(0(3(1(x1)))))))))))))))))))) → 2(4(4(1(1(0(2(1(0(1(0(4(3(1(2(2(3(0(3(4(x1)))))))))))))))))))) (132)
2(0(1(1(1(1(0(0(0(3(2(3(1(1(0(0(1(3(3(1(x1)))))))))))))))))))) → 1(2(2(0(2(3(3(3(4(4(2(4(3(4(1(1(4(0(3(1(x1)))))))))))))))))))) (133)
2(3(1(1(2(2(0(1(0(0(1(4(4(0(0(3(2(0(4(1(x1)))))))))))))))))))) → 1(2(1(2(0(3(1(3(3(0(3(4(0(3(0(4(1(4(2(4(x1)))))))))))))))))))) (134)
1(1(1(2(0(2(0(0(3(4(0(0(0(0(1(1(3(1(4(1(x1)))))))))))))))))))) → 1(2(4(4(2(0(1(4(2(0(3(4(3(3(0(0(2(4(1(2(x1)))))))))))))))))))) (135)
1(2(3(0(0(1(2(2(4(2(1(0(3(2(3(2(1(0(0(2(x1)))))))))))))))))))) → 2(4(3(4(2(4(0(1(0(3(4(0(0(3(2(1(1(0(4(2(x1)))))))))))))))))))) (136)
2(3(3(0(4(3(0(3(2(0(1(3(2(4(0(0(1(1(0(2(x1)))))))))))))))))))) → 2(0(2(3(1(4(4(0(4(2(1(4(0(3(0(2(3(1(4(3(x1)))))))))))))))))))) (137)
2(3(3(2(0(4(4(4(1(3(4(0(1(0(1(0(2(1(0(2(x1)))))))))))))))))))) → 2(2(0(3(0(2(0(4(0(1(4(2(0(2(3(1(0(0(1(4(x1)))))))))))))))))))) (138)
1(2(1(0(3(4(2(2(3(4(0(2(2(3(1(0(2(1(0(2(x1)))))))))))))))))))) → 2(1(2(1(0(2(1(3(4(2(1(1(3(4(4(1(4(2(2(0(x1)))))))))))))))))))) (139)
2(1(2(1(0(3(1(3(0(2(1(1(0(4(3(3(1(2(0(2(x1)))))))))))))))))))) → 2(4(2(2(1(1(3(3(3(2(0(2(3(4(1(1(0(2(2(2(x1)))))))))))))))))))) (140)
2(2(4(4(0(1(0(2(3(0(2(3(1(2(0(4(3(4(0(2(x1)))))))))))))))))))) → 2(2(2(3(2(4(0(4(4(0(4(2(1(1(0(4(2(3(0(4(x1)))))))))))))))))))) (141)
2(2(2(2(4(4(4(2(4(1(0(4(2(3(3(0(4(4(0(2(x1)))))))))))))))))))) → 2(1(3(1(3(3(4(2(2(4(2(0(3(4(0(1(0(2(2(0(x1)))))))))))))))))))) (142)
2(3(2(4(1(3(3(2(0(0(2(3(3(3(1(2(4(4(0(2(x1)))))))))))))))))))) → 2(3(0(2(1(0(3(1(4(1(4(2(0(2(1(2(1(2(0(0(x1)))))))))))))))))))) (143)
2(2(3(2(0(2(2(4(0(3(1(1(1(2(4(0(1(0(1(2(x1)))))))))))))))))))) → 2(3(1(4(1(1(3(1(1(1(2(1(2(1(3(1(3(0(2(3(x1)))))))))))))))))))) (144)
2(4(3(2(1(4(3(3(4(0(3(4(0(4(4(1(3(0(1(2(x1)))))))))))))))))))) → 1(2(0(2(0(0(3(1(0(1(3(2(0(2(2(4(4(1(4(1(x1)))))))))))))))))))) (145)
1(2(3(4(0(2(4(4(1(1(0(3(2(4(1(3(0(2(1(2(x1)))))))))))))))))))) → 2(4(1(2(0(0(4(1(4(1(1(1(3(4(1(0(4(3(2(1(x1)))))))))))))))))))) (146)
2(1(0(1(4(3(4(0(2(3(3(2(1(2(2(3(3(2(1(2(x1)))))))))))))))))))) → 2(1(1(1(4(2(0(1(4(4(0(2(1(0(2(0(4(1(4(3(x1)))))))))))))))))))) (147)
2(2(4(2(4(4(4(2(3(0(2(3(2(0(4(4(3(2(1(2(x1)))))))))))))))))))) → 2(3(2(2(1(4(2(2(1(4(1(2(2(3(3(1(3(3(1(1(x1)))))))))))))))))))) (148)
2(4(0(1(0(2(1(0(1(0(0(2(4(3(3(1(4(3(1(2(x1)))))))))))))))))))) → 2(2(1(0(4(2(1(2(3(1(0(4(1(0(1(1(2(1(1(2(x1)))))))))))))))))))) (149)
2(1(4(4(0(3(1(2(2(0(2(2(0(2(1(1(0(1(2(2(x1)))))))))))))))))))) → 2(1(3(4(4(2(2(1(1(3(0(2(1(2(0(4(2(1(2(1(x1)))))))))))))))))))) (150)
2(0(3(2(1(4(2(4(0(2(0(3(0(2(3(3(2(1(2(2(x1)))))))))))))))))))) → 2(1(4(1(2(1(4(1(2(4(3(3(0(1(2(2(0(1(4(0(x1)))))))))))))))))))) (151)
1(2(2(4(0(1(4(0(4(0(4(2(3(0(3(4(1(2(2(2(x1)))))))))))))))))))) → 2(4(2(3(1(3(4(1(2(3(0(2(1(2(4(4(2(4(1(1(x1)))))))))))))))))))) (152)
2(4(3(2(3(0(0(3(1(4(1(3(3(0(1(0(0(2(3(2(x1)))))))))))))))))))) → 2(4(3(0(2(3(4(4(2(2(4(4(4(1(1(0(4(4(2(1(x1)))))))))))))))))))) (153)
2(3(1(4(1(2(0(1(2(0(2(3(4(3(3(2(2(4(3(2(x1)))))))))))))))))))) → 1(1(2(4(1(4(0(1(0(3(1(1(1(1(3(1(4(0(4(1(x1)))))))))))))))))))) (154)
2(0(3(3(3(4(4(3(2(2(2(0(4(1(1(4(3(0(4(2(x1)))))))))))))))))))) → 2(2(2(2(3(1(1(4(2(4(0(3(3(4(1(1(0(0(1(0(x1)))))))))))))))))))) (155)
2(3(3(1(3(1(0(1(0(3(2(2(1(2(1(3(4(0(4(2(x1)))))))))))))))))))) → 2(1(0(1(1(3(3(3(4(2(2(2(4(1(4(1(4(4(2(0(x1)))))))))))))))))))) (156)
2(4(2(2(3(2(3(0(1(0(3(4(4(2(2(3(0(2(4(2(x1)))))))))))))))))))) → 2(0(1(4(2(4(2(0(0(3(2(3(0(1(4(2(0(4(0(3(x1)))))))))))))))))))) (157)
1(2(2(4(1(1(0(0(2(0(1(3(2(2(4(2(0(4(4(2(x1)))))))))))))))))))) → 2(1(2(3(0(3(3(1(4(1(1(4(2(0(4(4(1(4(2(0(x1)))))))))))))))))))) (158)
1(2(3(3(4(3(3(3(2(0(2(2(2(1(0(3(2(1(0(3(x1)))))))))))))))))))) → 2(3(0(4(4(3(3(1(1(1(1(2(1(0(1(3(1(3(2(0(x1)))))))))))))))))))) (159)
1(2(0(4(4(1(3(3(4(2(1(0(2(0(2(3(3(2(0(3(x1)))))))))))))))))))) → 2(1(4(1(1(1(0(3(4(2(4(0(3(3(1(1(1(2(0(2(x1)))))))))))))))))))) (160)
2(2(2(3(0(2(1(0(4(2(2(1(0(2(0(0(0(3(0(3(x1)))))))))))))))))))) → 2(4(2(4(4(1(2(3(0(2(4(4(1(4(2(4(4(2(4(4(x1)))))))))))))))))))) (161)
1(2(4(1(3(1(0(1(0(1(0(3(2(3(3(2(3(4(0(3(x1)))))))))))))))))))) → 2(1(1(2(4(0(4(4(1(3(3(1(0(1(4(1(2(3(1(4(x1)))))))))))))))))))) (162)
1(1(1(2(0(1(2(4(0(2(0(3(4(2(2(3(2(0(1(3(x1)))))))))))))))))))) → 2(2(1(1(2(3(4(4(2(3(4(3(1(1(4(0(1(0(4(1(x1)))))))))))))))))))) (163)
2(1(4(3(3(1(3(2(2(4(4(3(1(0(3(3(1(1(1(3(x1)))))))))))))))))))) → 2(2(2(3(2(2(0(0(2(4(1(4(3(1(1(2(1(1(4(1(x1)))))))))))))))))))) (164)
1(1(2(1(1(3(4(3(4(0(0(4(0(2(3(0(2(1(1(3(x1)))))))))))))))))))) → 2(4(3(4(0(3(1(1(3(3(3(4(4(3(4(2(1(0(2(4(x1)))))))))))))))))))) (165)
2(3(1(1(3(2(2(1(1(1(0(3(2(1(3(4(2(1(1(3(x1)))))))))))))))))))) → 2(0(0(0(4(1(4(3(4(2(4(2(1(1(0(3(1(0(0(4(x1)))))))))))))))))))) (166)
1(2(3(3(0(0(0(2(0(3(1(3(0(1(4(2(2(3(1(3(x1)))))))))))))))))))) → 2(3(4(2(0(4(4(3(2(2(2(4(1(2(3(1(2(0(3(1(x1)))))))))))))))))))) (167)
2(1(1(1(2(4(1(0(3(2(2(0(2(0(3(4(1(0(2(3(x1)))))))))))))))))))) → 1(2(3(4(2(4(4(2(3(0(0(3(0(4(2(2(2(1(3(0(x1)))))))))))))))))))) (168)
1(4(2(4(1(0(0(0(3(0(2(3(1(1(3(4(3(0(2(3(x1)))))))))))))))))))) → 1(2(0(0(1(4(2(1(0(3(3(0(0(3(4(2(0(2(3(3(x1)))))))))))))))))))) (169)
2(1(0(4(1(4(3(2(3(4(3(0(2(2(1(4(0(1(2(3(x1)))))))))))))))))))) → 2(4(3(4(3(4(3(2(2(1(3(3(3(4(2(3(3(4(2(0(x1)))))))))))))))))))) (170)
2(3(0(4(0(3(2(0(3(1(3(0(4(2(4(1(1(1(2(3(x1)))))))))))))))))))) → 2(2(2(4(2(0(3(4(4(4(1(1(2(2(3(4(0(3(0(3(x1)))))))))))))))))))) (171)
2(0(1(3(3(4(1(4(0(1(3(4(2(4(1(0(1(3(2(3(x1)))))))))))))))))))) → 2(1(1(0(4(4(1(4(2(0(1(4(4(4(0(2(2(1(0(0(x1)))))))))))))))))))) (172)
2(4(1(0(1(1(3(1(2(1(2(1(2(1(4(3(3(3(2(3(x1)))))))))))))))))))) → 2(4(1(2(0(0(3(4(4(4(2(4(4(4(4(0(0(1(0(3(x1)))))))))))))))))))) (173)
2(4(0(3(0(3(4(0(1(0(4(3(2(0(2(2(3(4(2(3(x1)))))))))))))))))))) → 2(1(1(0(1(1(0(0(1(1(0(4(1(3(2(4(0(2(1(0(x1)))))))))))))))))))) (174)
2(0(0(1(1(3(0(4(2(2(2(0(3(1(0(0(2(0(3(3(x1)))))))))))))))))))) → 2(4(2(2(0(0(2(0(1(1(4(1(0(4(2(3(1(2(0(4(x1)))))))))))))))))))) (175)
2(3(0(4(2(2(2(0(2(4(0(4(0(4(2(4(4(0(3(3(x1)))))))))))))))))))) → 2(2(4(3(4(1(4(2(2(3(1(0(4(4(1(1(1(0(1(0(x1)))))))))))))))))))) (176)
2(0(2(4(3(0(4(2(2(3(1(3(0(3(4(3(1(3(3(3(x1)))))))))))))))))))) → 2(4(0(1(0(3(3(3(2(3(2(4(3(4(2(0(1(4(0(4(x1)))))))))))))))))))) (177)
2(2(4(0(3(0(2(2(3(4(2(4(3(3(1(1(2(3(3(3(x1)))))))))))))))))))) → 1(2(2(4(0(4(3(3(0(4(4(2(3(4(4(4(2(4(3(1(x1)))))))))))))))))))) (178)
2(4(1(4(3(2(1(4(4(3(0(3(2(4(1(1(4(3(3(3(x1)))))))))))))))))))) → 2(1(0(1(4(3(3(1(1(0(2(1(4(3(2(1(3(4(2(0(x1)))))))))))))))))))) (179)
2(0(2(1(1(2(2(2(3(1(3(3(0(1(1(2(2(0(4(3(x1)))))))))))))))))))) → 2(1(4(2(1(4(2(3(3(0(4(1(2(0(2(4(3(2(0(3(x1)))))))))))))))))))) (180)
2(0(1(2(0(1(0(4(0(1(4(1(3(0(4(4(2(2(4(3(x1)))))))))))))))))))) → 2(4(2(3(3(0(4(1(1(4(3(2(0(3(0(2(1(4(2(0(x1)))))))))))))))))))) (181)
2(1(3(0(2(2(3(3(3(0(3(4(3(4(1(1(2(4(4(3(x1)))))))))))))))))))) → 2(3(2(3(2(0(1(0(2(2(2(3(4(1(3(2(3(0(4(2(x1)))))))))))))))))))) (182)
2(3(3(2(4(3(2(1(0(0(2(3(3(4(2(3(3(1(0(4(x1)))))))))))))))))))) → 2(2(1(3(2(3(1(2(3(4(1(2(4(1(0(3(0(3(4(2(x1)))))))))))))))))))) (183)
2(2(4(4(1(1(2(3(3(4(2(4(3(1(2(1(4(1(0(4(x1)))))))))))))))))))) → 1(2(3(1(0(0(4(1(1(0(2(1(1(1(4(2(4(3(2(4(x1)))))))))))))))))))) (184)
2(3(4(3(0(2(0(2(4(0(4(3(2(0(0(0(2(0(1(4(x1)))))))))))))))))))) → 2(0(4(2(0(0(2(2(2(1(4(0(0(2(2(4(1(1(1(2(x1)))))))))))))))))))) (185)
2(0(2(0(1(4(4(4(2(4(3(3(3(0(3(2(3(1(1(4(x1)))))))))))))))))))) → 2(2(3(1(0(3(0(4(4(0(4(1(3(0(0(1(4(4(4(4(x1)))))))))))))))))))) (186)
2(3(1(3(3(3(2(4(4(0(0(1(2(1(0(4(4(1(1(4(x1)))))))))))))))))))) → 2(4(3(3(4(1(2(2(3(3(4(2(1(4(4(2(4(0(1(3(x1)))))))))))))))))))) (187)
2(4(3(4(3(1(1(4(0(3(2(1(1(2(2(3(4(3(1(4(x1)))))))))))))))))))) → 2(1(3(3(0(4(4(2(4(0(0(3(2(0(4(1(1(2(4(2(x1)))))))))))))))))))) (188)
2(2(1(0(3(0(0(1(2(3(0(2(0(0(1(0(1(1(2(4(x1)))))))))))))))))))) → 1(2(3(3(1(4(1(0(0(0(1(4(2(4(1(0(1(4(0(0(x1)))))))))))))))))))) (189)
2(2(4(4(3(1(1(1(4(0(1(1(1(1(4(3(0(3(2(4(x1)))))))))))))))))))) → 2(0(0(4(2(0(0(1(1(4(1(1(2(4(4(2(3(3(0(2(x1)))))))))))))))))))) (190)
1(2(2(3(4(3(0(2(4(3(1(3(4(0(3(2(3(0(3(4(x1)))))))))))))))))))) → 2(2(0(2(3(0(2(0(0(1(0(0(1(4(2(3(3(4(3(0(x1)))))))))))))))))))) (191)
2(1(3(4(0(3(0(0(1(3(0(4(4(0(1(2(0(1(3(4(x1)))))))))))))))))))) → 2(3(1(1(3(4(2(1(3(0(0(3(0(0(2(0(4(3(1(0(x1)))))))))))))))))))) (192)
2(0(3(3(2(4(0(1(1(0(0(1(3(1(2(2(1(1(3(4(x1)))))))))))))))))))) → 2(4(2(2(4(1(3(1(3(1(2(1(2(1(1(4(1(3(3(0(x1)))))))))))))))))))) (193)
2(1(3(0(1(0(0(2(0(0(3(2(2(1(4(2(0(3(3(4(x1)))))))))))))))))))) → 2(1(0(2(2(3(2(0(4(1(1(3(3(4(1(1(3(2(0(4(x1)))))))))))))))))))) (194)
2(1(4(0(4(2(4(3(3(1(3(3(2(3(4(2(0(4(3(4(x1)))))))))))))))))))) → 2(1(4(4(1(1(2(4(1(2(0(3(4(4(0(1(4(3(4(4(x1)))))))))))))))))))) (195)
1(2(0(1(3(2(2(4(1(3(3(4(3(2(0(0(4(2(4(4(x1)))))))))))))))))))) → 1(2(1(2(2(1(3(2(3(2(0(4(1(1(4(4(4(1(4(4(x1)))))))))))))))))))) (196)
1(2(0(0(0(0(0(0(1(1(3(2(3(4(3(1(1(3(4(4(x1)))))))))))))))))))) → 2(1(4(4(0(0(2(3(2(2(1(3(4(2(0(3(1(0(4(0(x1)))))))))))))))))))) (197)
1(2(0(0(4(3(3(2(0(0(4(1(0(1(0(4(3(3(4(4(x1)))))))))))))))))))) → 2(3(4(2(2(3(4(1(0(0(2(1(1(1(1(0(2(1(0(1(x1)))))))))))))))))))) (198)
(w.r.t. the implicit argument filter of the reduction pair), the pairs

There are 784 ruless (increase limit for explicit display).

and no rules could be deleted.

1.1.1.1 Dependency Graph Processor

The dependency pairs are split into 1 component.