Certification Problem

Input (TPDB SRS_Standard/ICFP_2010/25849)

The rewrite relation of the following TRS is considered.

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

Property / Task

Prove or disprove termination.

Answer / Result

Yes.

Proof (by matchbox @ termCOMP 2023)

1 Rule Removal

Using the matrix interpretations of dimension 1 with strict dimension 1 over the rationals with delta = 1
[5(x1)] = x1 +
14
[4(x1)] = x1 +
14
[3(x1)] = x1 +
14
[2(x1)] = x1 +
9
[1(x1)] = x1 +
16
[0(x1)] = x1 +
15
all of the following rules can be deleted.
0(5(2(1(0(2(5(5(4(1(x1)))))))))) 0(2(2(1(3(4(0(1(0(2(x1)))))))))) (5)
4(2(3(1(0(5(0(2(2(0(x1)))))))))) 4(3(4(5(0(3(2(2(4(2(x1)))))))))) (7)
5(2(1(2(3(5(5(0(4(2(x1)))))))))) 5(4(3(2(4(5(1(5(2(2(x1)))))))))) (9)
0(0(1(0(3(5(3(0(2(4(5(x1))))))))))) 2(1(2(3(2(5(4(1(3(1(x1)))))))))) (10)
0(0(1(4(0(1(1(5(1(0(3(x1))))))))))) 3(5(5(2(3(5(1(5(3(0(x1)))))))))) (11)
0(2(1(2(5(0(0(5(3(0(0(x1))))))))))) 4(5(0(4(3(0(1(3(5(5(x1)))))))))) (12)
0(3(5(1(0(2(5(1(0(0(4(x1))))))))))) 4(3(4(5(1(2(2(1(5(1(x1)))))))))) (13)
1(1(3(1(3(5(3(5(1(2(4(x1))))))))))) 4(3(2(4(5(2(0(5(4(2(x1)))))))))) (15)
1(2(3(4(0(5(3(1(1(2(4(x1))))))))))) 3(4(2(4(1(5(1(4(3(3(x1)))))))))) (16)
1(3(5(0(4(4(3(2(1(0(4(x1))))))))))) 3(3(1(3(2(5(2(4(2(4(x1)))))))))) (17)
1(4(4(2(5(5(5(3(5(5(2(x1))))))))))) 1(0(1(5(5(2(1(1(0(4(x1)))))))))) (18)
1(4(4(4(0(1(4(2(1(4(2(x1))))))))))) 5(2(1(4(4(2(5(3(4(0(x1)))))))))) (19)
1(5(1(0(5(5(3(3(2(3(0(x1))))))))))) 3(0(1(0(3(5(5(0(4(1(x1)))))))))) (20)
1(5(1(1(0(4(5(1(2(1(2(x1))))))))))) 1(1(5(2(2(2(3(4(5(5(x1)))))))))) (21)
1(5(3(4(5(0(5(5(1(3(3(x1))))))))))) 3(5(2(4(1(3(3(0(2(1(x1)))))))))) (22)
3(0(4(0(4(4(1(4(1(0(0(x1))))))))))) 2(2(1(1(2(3(0(1(5(0(x1)))))))))) (24)
3(1(5(2(2(5(0(1(5(0(0(x1))))))))))) 1(0(2(5(0(5(0(5(3(0(x1)))))))))) (25)
3(4(2(1(3(0(3(3(4(5(0(x1))))))))))) 0(5(2(3(4(4(4(0(4(5(x1)))))))))) (26)
3(4(5(3(3(1(0(3(4(0(4(x1))))))))))) 4(4(2(1(0(4(1(3(3(4(x1)))))))))) (27)
3(5(4(1(1(1(3(5(5(3(4(x1))))))))))) 2(2(4(2(0(5(5(2(2(5(x1)))))))))) (28)
4(0(1(0(5(4(5(0(3(0(2(x1))))))))))) 0(5(5(0(5(5(0(1(3(1(x1)))))))))) (29)
4(0(3(4(3(4(0(2(2(1(5(x1))))))))))) 2(4(5(5(0(2(3(0(3(3(x1)))))))))) (30)
4(2(2(1(0(0(5(1(1(1(3(x1))))))))))) 3(2(5(2(5(2(2(1(1(2(x1)))))))))) (31)
4(2(2(4(2(5(5(3(3(1(5(x1))))))))))) 5(4(2(2(2(2(2(4(2(4(x1)))))))))) (32)
4(3(0(5(1(1(2(4(1(4(0(x1))))))))))) 4(2(2(2(0(3(1(2(0(1(x1)))))))))) (34)
4(4(0(0(1(5(0(5(2(2(3(x1))))))))))) 1(2(0(4(2(5(5(0(3(0(x1)))))))))) (35)
4(4(1(4(3(2(1(2(5(0(2(x1))))))))))) 1(1(1(5(2(4(2(4(1(4(x1)))))))))) (36)
4(4(5(3(1(5(4(4(0(1(5(x1))))))))))) 1(5(5(0(3(4(2(0(4(2(x1)))))))))) (37)
5(0(0(0(0(4(1(3(1(4(4(x1))))))))))) 1(3(0(1(5(3(5(2(5(4(x1)))))))))) (38)
5(0(5(0(3(5(1(3(4(2(1(x1))))))))))) 0(2(3(1(1(2(3(0(2(0(x1)))))))))) (39)
5(1(2(5(1(5(1(1(5(1(3(x1))))))))))) 5(5(0(5(1(0(4(0(1(0(x1)))))))))) (40)
5(2(4(0(0(0(0(1(5(5(3(x1))))))))))) 3(1(2(0(0(4(5(3(1(0(x1)))))))))) (41)
5(2(5(5(5(4(4(0(4(2(3(x1))))))))))) 0(5(0(5(2(2(3(4(5(5(x1)))))))))) (42)
5(5(4(5(2(3(1(5(0(2(2(x1))))))))))) 5(0(0(5(1(3(3(2(4(4(x1)))))))))) (44)
0(1(2(3(2(4(5(3(1(4(4(0(x1)))))))))))) 4(5(4(3(5(1(1(5(5(4(x1)))))))))) (45)
0(2(2(3(3(3(3(0(4(5(3(2(x1)))))))))))) 5(3(2(0(5(2(1(1(3(0(x1)))))))))) (46)
0(2(5(0(4(5(1(5(0(5(0(3(x1)))))))))))) 4(0(2(1(2(4(1(5(5(2(x1)))))))))) (47)
1(2(1(2(2(0(4(0(5(4(4(1(x1)))))))))))) 3(2(1(2(5(1(4(2(2(3(x1)))))))))) (48)
1(2(5(2(5(3(4(0(0(2(0(3(x1)))))))))))) 1(5(2(4(4(0(3(4(5(2(x1)))))))))) (49)
2(3(2(5(4(3(3(4(2(2(3(0(x1)))))))))))) 2(5(4(2(5(4(5(4(0(1(x1)))))))))) (51)
3(1(4(4(4(5(3(5(4(4(0(0(x1)))))))))))) 0(0(5(1(1(2(5(5(3(1(x1)))))))))) (53)
3(2(2(4(5(5(2(2(5(2(5(1(x1)))))))))))) 5(1(3(2(0(2(1(5(4(4(x1)))))))))) (54)
3(2(5(3(0(2(2(5(5(4(3(3(x1)))))))))))) 1(2(3(4(1(5(4(0(5(5(x1)))))))))) (55)
3(5(3(4(3(2(5(3(2(5(3(0(x1)))))))))))) 0(2(0(0(1(1(5(3(4(5(x1)))))))))) (56)
4(2(5(0(2(0(1(2(4(5(4(0(x1)))))))))))) 0(1(0(4(2(0(0(5(5(3(x1)))))))))) (57)
4(3(3(0(0(1(4(4(2(3(5(3(x1)))))))))))) 0(0(5(0(0(1(0(4(3(4(x1)))))))))) (58)
4(3(3(4(4(3(3(2(5(2(1(1(x1)))))))))))) 0(5(3(4(4(0(2(3(2(0(x1)))))))))) (59)
4(5(4(2(0(3(5(3(3(3(3(2(x1)))))))))))) 5(4(3(1(0(3(1(0(1(0(x1)))))))))) (61)
5(0(1(4(4(1(4(2(4(0(2(4(x1)))))))))))) 5(3(3(4(0(1(3(1(0(0(x1)))))))))) (62)
5(2(1(1(5(4(3(4(4(4(3(5(x1)))))))))))) 0(5(1(3(0(1(1(2(3(0(x1)))))))))) (63)

1.1 Closure Under Flat Contexts

Using the flat contexts

{5(), 4(), 3(), 2(), 1(), 0()}

We obtain the transformed TRS

There are 270 ruless (increase limit for explicit display).

1.1.1 Semantic Labeling

The following interpretations form a model of the rules.

As carrier we take the set {0,...,5}. Symbols are labeled by the interpretation of their arguments using the interpretations (modulo 6):

[5(x1)] = 6x1 + 0
[4(x1)] = 6x1 + 1
[3(x1)] = 6x1 + 2
[2(x1)] = 6x1 + 3
[1(x1)] = 6x1 + 4
[0(x1)] = 6x1 + 5

We obtain the labeled TRS

There are 1620 ruless (increase limit for explicit display).

1.1.1.1 Rule Removal

Using the matrix interpretations of dimension 1 with strict dimension 1 over the rationals with delta = 1
[50(x1)] = x1 +
31
[51(x1)] = x1 +
3/2
[52(x1)] = x1 +
0
[53(x1)] = x1 +
0
[54(x1)] = x1 +
6
[55(x1)] = x1 +
107/2
[40(x1)] = x1 +
0
[41(x1)] = x1 +
0
[42(x1)] = x1 +
3/2
[43(x1)] = x1 +
3
[44(x1)] = x1 +
1
[45(x1)] = x1 +
4
[30(x1)] = x1 +
13
[31(x1)] = x1 +
1
[32(x1)] = x1 +
0
[33(x1)] = x1 +
0
[34(x1)] = x1 +
0
[35(x1)] = x1 +
6
[20(x1)] = x1 +
0
[21(x1)] = x1 +
0
[22(x1)] = x1 +
6
[23(x1)] = x1 +
13
[24(x1)] = x1 +
13
[25(x1)] = x1 +
6
[10(x1)] = x1 +
0
[11(x1)] = x1 +
4
[12(x1)] = x1 +
0
[13(x1)] = x1 +
31
[14(x1)] = x1 +
6
[15(x1)] = x1 +
0
[00(x1)] = x1 +
6
[01(x1)] = x1 +
0
[02(x1)] = x1 +
0
[03(x1)] = x1 +
4
[04(x1)] = x1 +
0
[05(x1)] = x1 +
0
all of the following rules can be deleted.

There are 1584 ruless (increase limit for explicit display).

1.1.1.1.1 String Reversal

Since only unary symbols occur, one can reverse all terms and obtains the TRS
35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (1986)
34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (1987)
33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (1988)
32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (1989)
31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (1990)
30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (1991)
35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (1992)
34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (1993)
33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (1994)
32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (1995)
31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (1996)
30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (1997)
35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (1998)
34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (1999)
33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2000)
32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2001)
31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2002)
30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2003)
35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2004)
34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2005)
33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2006)
32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2007)
31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2008)
30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2009)
35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2010)
34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2011)
33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2012)
32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2013)
31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2014)
30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2015)
35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 35(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2016)
34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 34(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2017)
33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 33(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2018)
32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 32(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2019)
31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 31(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2020)
30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 30(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2021)

1.1.1.1.1.1 Dependency Pair Transformation

The following set of initial dependency pairs has been identified.
30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2022)
30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2023)
30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2024)
30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2025)
30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (2026)
30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 30#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (2027)
31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2028)
31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2029)
31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2030)
31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2031)
31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (2032)
31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 31#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (2033)
32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2034)
32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2035)
32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2036)
32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2037)
32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (2038)
32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 32#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (2039)
33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2040)
33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2041)
33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2042)
33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2043)
33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (2044)
33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 33#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (2045)
34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2046)
34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2047)
34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2048)
34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2049)
34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (2050)
34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 34#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (2051)
35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(52(x1))))))))))))))))))))))))))) 35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(52(x1))))))))))))))))))))))))))) (2052)
35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(42(x1))))))))))))))))))))))))))) 35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(42(x1))))))))))))))))))))))))))) (2053)
35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(32(x1))))))))))))))))))))))))))) 35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(32(x1))))))))))))))))))))))))))) (2054)
35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(22(x1))))))))))))))))))))))))))) 35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(22(x1))))))))))))))))))))))))))) (2055)
35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(12(x1))))))))))))))))))))))))))) 35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(12(x1))))))))))))))))))))))))))) (2056)
35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(13(24(23(33(32(02(x1))))))))))))))))))))))))))) 35#(02(45(41(41(51(00(55(10(04(05(15(04(55(40(21(23(03(25(53(20(23(13(24(33(32(02(x1))))))))))))))))))))))))))) (2057)

1.1.1.1.1.1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.