Certification Problem

Input (TPDB SRS_Standard/ICFP_2010/26927)

The rewrite relation of the following TRS is considered.

0(1(0(2(3(3(1(4(x1)))))))) 0(1(0(3(2(3(1(4(x1)))))))) (1)
1(0(5(4(4(1(0(3(x1)))))))) 1(0(5(1(4(4(0(3(x1)))))))) (2)
0(3(2(1(5(3(5(0(4(x1))))))))) 2(0(3(3(5(1(5(0(4(x1))))))))) (3)
5(1(5(4(4(0(1(1(3(x1))))))))) 5(1(5(4(4(1(0(1(3(x1))))))))) (4)
5(3(1(2(5(3(2(0(0(x1))))))))) 5(3(1(5(2(3(2(0(0(x1))))))))) (5)
1(1(1(2(2(1(4(5(2(2(x1)))))))))) 1(1(1(2(2(4(1(5(2(2(x1)))))))))) (6)
2(1(1(2(1(2(3(5(1(0(x1)))))))))) 0(2(0(2(2(1(5(2(1(0(x1)))))))))) (7)
3(4(1(1(1(0(1(5(5(5(x1)))))))))) 2(3(2(1(2(1(2(5(2(1(x1)))))))))) (8)
4(0(1(5(0(1(2(5(4(1(x1)))))))))) 4(2(0(0(2(0(4(0(4(2(x1)))))))))) (9)
5(2(5(1(4(5(4(5(5(0(x1)))))))))) 5(5(2(1(4(5(4(5(5(0(x1)))))))))) (10)
0(0(0(5(1(4(2(1(2(1(5(x1))))))))))) 5(2(5(3(3(4(0(5(0(0(x1)))))))))) (11)
0(0(5(4(1(5(0(1(1(0(3(x1))))))))))) 5(5(0(2(5(2(4(3(0(3(x1)))))))))) (12)
0(2(2(0(5(1(1(3(1(2(3(x1))))))))))) 2(3(0(1(2(5(3(0(4(0(x1)))))))))) (13)
0(3(2(5(4(1(4(3(3(2(2(x1))))))))))) 0(4(4(0(1(0(0(2(4(5(x1)))))))))) (14)
0(5(5(1(1(0(3(4(3(2(3(x1))))))))))) 1(1(4(2(4(3(2(0(2(0(x1)))))))))) (15)
1(0(4(3(0(4(0(0(2(5(1(x1))))))))))) 2(3(5(3(2(0(1(4(0(3(x1)))))))))) (16)
1(0(5(4(5(2(3(0(0(3(0(x1))))))))))) 1(0(5(5(4(2(3(0(0(3(0(x1))))))))))) (17)
1(1(3(5(3(2(4(1(1(5(2(x1))))))))))) 0(3(3(1(5(5(2(3(0(3(x1)))))))))) (18)
1(2(0(0(3(5(0(3(2(1(0(x1))))))))))) 4(2(3(1(2(5(0(1(2(2(x1)))))))))) (19)
1(3(3(2(2(0(1(1(0(4(5(x1))))))))))) 3(5(0(0(3(2(4(1(0(1(x1)))))))))) (20)
1(4(3(3(1(4(3(2(3(5(4(x1))))))))))) 1(1(5(0(1(0(3(3(4(4(x1)))))))))) (21)
1(5(2(2(1(0(5(1(4(0(4(x1))))))))))) 0(1(3(1(2(4(1(2(5(5(x1)))))))))) (22)
2(2(0(2(0(1(1(1(2(5(1(x1))))))))))) 5(1(2(1(3(0(5(2(5(0(x1)))))))))) (23)
2(4(3(5(4(3(5(2(4(1(1(x1))))))))))) 3(2(3(0(5(0(2(0(3(5(x1)))))))))) (24)
2(4(4(2(1(2(3(3(5(2(0(x1))))))))))) 3(4(1(0(4(1(3(0(1(1(x1)))))))))) (25)
2(5(2(2(5(2(4(2(2(4(5(x1))))))))))) 5(1(0(3(0(3(2(1(5(2(x1)))))))))) (26)
2(5(3(1(2(2(1(3(0(2(4(x1))))))))))) 4(1(3(2(3(1(0(4(2(2(x1)))))))))) (27)
3(0(2(5(1(4(5(1(4(2(1(x1))))))))))) 0(3(4(0(2(5(5(1(1(3(x1)))))))))) (28)
3(0(3(2(4(0(4(1(0(2(3(x1))))))))))) 5(1(4(1(2(3(2(2(4(4(x1)))))))))) (29)
3(0(4(5(3(1(2(0(3(0(3(x1))))))))))) 5(4(1(5(0(5(2(2(4(0(x1)))))))))) (30)
3(1(3(5(4(3(0(3(2(2(1(x1))))))))))) 1(3(3(1(5(2(2(4(0(3(x1)))))))))) (31)
3(2(3(5(2(3(5(5(5(2(5(x1))))))))))) 0(0(0(2(4(0(3(5(3(3(x1)))))))))) (32)
3(3(0(1(0(4(3(2(5(5(5(x1))))))))))) 1(0(3(2(1(5(2(4(0(2(x1)))))))))) (33)
3(3(0(3(5(4(2(0(5(4(2(x1))))))))))) 4(0(1(4(3(2(3(3(1(4(x1)))))))))) (34)
3(3(5(0(5(2(4(3(0(2(2(x1))))))))))) 2(5(0(4(2(1(2(0(2(4(x1)))))))))) (35)
3(4(2(3(3(1(4(0(4(1(5(x1))))))))))) 0(3(5(2(1(4(0(3(2(3(x1)))))))))) (36)
3(5(0(0(3(2(4(4(3(4(5(x1))))))))))) 3(1(4(5(1(2(3(5(0(0(x1)))))))))) (37)
4(0(0(2(0(2(1(1(3(5(0(x1))))))))))) 1(5(2(2(2(0(2(0(4(4(x1)))))))))) (38)
4(3(2(1(4(1(1(1(4(1(1(x1))))))))))) 2(1(4(1(4(2(3(3(3(0(x1)))))))))) (39)
4(4(2(1(3(3(5(5(3(1(4(x1))))))))))) 0(5(5(3(5(3(5(1(5(3(x1)))))))))) (40)
4(5(0(3(1(4(3(5(5(3(3(x1))))))))))) 3(5(2(2(5(3(3(2(3(1(x1)))))))))) (41)
4(5(1(1(2(4(1(2(4(5(4(x1))))))))))) 0(0(0(3(5(1(1(0(0(3(x1)))))))))) (42)
4(5(3(5(2(3(3(0(0(5(4(x1))))))))))) 4(4(0(4(4(2(0(5(5(1(x1)))))))))) (43)
5(1(2(0(1(3(4(0(1(1(5(x1))))))))))) 3(0(2(1(4(0(5(3(1(2(x1)))))))))) (44)
5(5(2(3(1(5(1(4(0(3(3(x1))))))))))) 5(0(5(4(1(4(0(0(2(4(x1)))))))))) (45)
0(0(4(2(4(0(3(1(4(2(5(4(x1)))))))))))) 0(0(4(2(4(0(3(4(1(2(5(4(x1)))))))))))) (46)
0(3(2(1(3(5(2(5(0(2(0(5(x1)))))))))))) 0(3(2(1(3(5(2(0(5(2(0(5(x1)))))))))))) (47)
0(4(0(2(3(0(4(0(2(3(5(2(x1)))))))))))) 3(1(3(1(5(4(0(2(3(3(x1)))))))))) (48)
0(4(3(5(3(4(3(4(1(2(3(2(x1)))))))))))) 3(5(5(1(4(1(3(1(5(2(x1)))))))))) (49)
1(0(2(0(1(5(1(5(2(0(2(0(x1)))))))))))) 3(5(4(4(1(2(3(1(5(1(x1)))))))))) (50)
1(5(0(1(2(4(2(5(0(3(5(3(x1)))))))))))) 0(1(4(1(3(3(1(1(0(4(x1)))))))))) (51)
2(0(2(5(2(0(1(2(0(2(3(5(x1)))))))))))) 4(0(1(5(1(3(3(5(4(5(x1)))))))))) (52)
3(4(2(5(3(5(0(2(2(4(2(2(x1)))))))))))) 3(4(4(4(1(4(4(0(4(0(x1)))))))))) (53)
3(5(5(0(2(2(5(1(2(2(5(0(x1)))))))))))) 4(1(1(1(3(1(3(2(0(0(x1)))))))))) (54)
5(0(2(0(1(4(2(3(1(0(1(3(x1)))))))))))) 3(1(5(4(0(1(3(4(5(4(x1)))))))))) (55)
5(2(1(0(1(2(0(2(1(4(2(0(x1)))))))))))) 5(1(1(0(4(3(3(0(3(1(x1)))))))))) (56)
5(5(3(2(0(1(5(2(4(3(3(5(x1)))))))))))) 1(0(1(2(3(2(0(2(5(0(x1)))))))))) (57)
5(5(3(3(5(5(5(3(1(0(3(1(x1)))))))))))) 3(0(4(5(4(0(5(1(1(2(x1)))))))))) (58)
5(5(4(4(0(4(3(2(2(4(1(0(x1)))))))))))) 4(1(2(5(0(4(1(4(5(4(x1)))))))))) (59)
0(3(5(3(0(3(4(3(5(2(2(2(2(x1))))))))))))) 0(3(4(4(0(2(1(5(1(0(x1)))))))))) (60)
0(5(0(2(2(0(4(3(2(4(4(2(5(x1))))))))))))) 0(5(0(2(4(2(3(0(2(4(4(2(5(x1))))))))))))) (61)
3(1(4(4(3(3(3(2(3(4(4(2(1(x1))))))))))))) 3(1(4(3(3(3(4(4(4(2(2(3(1(x1))))))))))))) (62)
2(3(5(3(2(5(5(1(0(2(3(0(3(0(x1)))))))))))))) 2(3(5(3(2(5(5(0(1(2(3(0(3(0(x1)))))))))))))) (63)
1(5(0(5(1(0(2(5(2(1(4(0(0(4(5(x1))))))))))))))) 1(5(0(5(0(1(2(5(2(1(4(0(0(4(5(x1))))))))))))))) (64)
2(2(5(1(3(5(0(3(4(5(1(1(2(0(0(x1))))))))))))))) 2(5(2(1(3(0(5(3(4(5(1(1(2(0(0(x1))))))))))))))) (65)
4(3(3(5(3(4(0(1(2(2(0(4(5(0(4(x1))))))))))))))) 4(3(3(5(3(4(0(1(2(2(4(0(5(0(4(x1))))))))))))))) (66)
5(1(4(0(1(1(0(1(2(2(5(2(1(3(1(x1))))))))))))))) 5(1(4(0(1(1(0(1(2(2(5(1(2(3(1(x1))))))))))))))) (67)
1(0(1(1(5(3(2(4(4(5(3(3(2(3(1(4(x1)))))))))))))))) 1(0(1(1(5(3(4(2(4(5(3(3(2(3(1(4(x1)))))))))))))))) (68)
0(2(5(0(1(0(2(0(1(1(0(5(1(5(4(1(2(x1))))))))))))))))) 0(2(5(0(1(0(2(0(1(1(0(5(5(1(4(1(2(x1))))))))))))))))) (69)
0(3(2(0(0(0(0(3(5(1(2(3(5(4(2(3(0(x1))))))))))))))))) 2(3(3(0(0(0(1(0(5(0(3(2(4(2(5(3(0(x1))))))))))))))))) (70)
5(2(0(3(2(0(0(4(1(1(5(4(5(1(0(0(5(x1))))))))))))))))) 5(2(0(3(2(0(0(4(1(5(1(4(5(1(0(0(5(x1))))))))))))))))) (71)
3(0(2(3(3(4(3(4(5(0(2(2(4(3(3(5(5(5(x1)))))))))))))))))) 3(0(2(3(3(4(3(4(5(0(2(2(3(4(3(5(5(5(x1)))))))))))))))))) (72)
3(2(5(0(0(0(4(0(5(4(3(0(4(1(5(3(4(5(x1)))))))))))))))))) 3(2(5(0(0(0(4(0(5(4(3(4(0(1(5(3(4(5(x1)))))))))))))))))) (73)
3(1(1(0(5(2(0(1(0(0(5(0(2(5(4(1(4(2(3(x1))))))))))))))))))) 3(1(0(1(5(2(0(1(0(0(5(0(2(4(5(1(4(2(3(x1))))))))))))))))))) (74)
3(4(2(2(5(0(3(4(3(5(0(1(0(1(3(5(4(3(3(x1))))))))))))))))))) 3(4(2(2(5(0(3(4(3(5(0(1(0(1(3(4(5(3(3(x1))))))))))))))))))) (75)
0(3(3(2(1(1(0(5(3(4(0(1(3(2(3(0(1(0(4(2(x1)))))))))))))))))))) 0(3(3(2(1(1(0(5(3(4(0(1(3(2(3(0(0(1(4(2(x1)))))))))))))))))))) (76)
1(3(5(1(5(1(5(4(4(4(5(1(0(3(1(5(4(0(3(2(4(x1))))))))))))))))))))) 1(3(1(5(5(1(5(4(4(4(5(1(0(3(1(5(4(0(3(2(4(x1))))))))))))))))))))) (77)
2(3(0(0(4(3(4(3(0(3(2(0(0(5(1(0(0(0(4(0(5(x1))))))))))))))))))))) 2(3(0(0(4(3(4(3(0(3(2(0(5(0(1(0(0(0(4(0(5(x1))))))))))))))))))))) (78)
4(1(2(4(2(1(2(1(4(1(3(5(1(2(2(4(3(5(0(0(0(x1))))))))))))))))))))) 4(1(2(4(2(1(2(1(4(1(3(5(1(2(2(4(3(0(5(0(0(x1))))))))))))))))))))) (79)
5(4(4(3(3(5(4(5(2(0(3(4(4(1(5(0(1(3(4(2(1(2(x1)))))))))))))))))))))) 5(4(3(4(3(5(4(5(2(0(3(4(4(1(5(0(1(3(4(2(1(2(x1)))))))))))))))))))))) (80)
3(4(2(1(3(1(3(0(4(3(4(2(1(0(3(2(3(2(2(3(5(0(2(2(2(x1))))))))))))))))))))))))) 3(4(2(1(3(1(3(0(4(3(4(1(2(0(3(2(3(2(2(3(5(0(2(2(2(x1))))))))))))))))))))))))) (81)
5(4(2(1(0(3(1(4(1(4(4(5(4(5(1(0(1(5(5(1(4(5(5(4(1(x1))))))))))))))))))))))))) 5(4(2(0(1(3(4(1(4(1(4(5(4(5(1(0(1(5(5(1(5(4(4(5(1(x1))))))))))))))))))))))))) (82)
3(5(1(5(0(1(1(5(0(5(2(5(3(4(1(1(4(4(3(4(5(2(4(5(0(3(x1)))))))))))))))))))))))))) 3(5(1(5(0(1(1(0(5(5(2(5(3(4(1(1(4(4(3(4(5(2(4(5(0(3(x1)))))))))))))))))))))))))) (83)
0(4(2(1(0(4(1(2(3(1(2(1(3(3(0(1(1(1(1(1(4(2(0(2(4(5(5(x1))))))))))))))))))))))))))) 0(2(4(1(0(4(1(2(3(1(2(1(3(3(0(1(1(1(1(1(4(2(0(2(4(5(5(x1))))))))))))))))))))))))))) (84)
4(0(4(1(4(2(4(4(5(4(0(3(0(3(3(3(2(5(3(1(4(3(4(5(2(1(4(x1))))))))))))))))))))))))))) 4(0(4(2(4(4(1(0(3(4(4(0(3(3(3(1(3(5(5(2(4(1(3(4(2(5(4(x1))))))))))))))))))))))))))) (85)
5(1(5(0(5(4(0(4(0(5(0(2(5(0(4(0(4(2(2(1(2(5(4(0(1(4(1(x1))))))))))))))))))))))))))) 5(1(5(0(5(4(0(4(0(5(2(0(5(0(4(0(4(2(2(1(2(5(4(0(1(4(1(x1))))))))))))))))))))))))))) (86)
5(4(2(3(5(4(0(1(5(4(0(4(3(2(0(2(1(3(4(3(1(1(3(5(5(0(5(x1))))))))))))))))))))))))))) 5(4(2(5(3(4(0(1(5(4(0(4(3(2(0(2(1(3(4(3(1(1(3(5(5(0(5(x1))))))))))))))))))))))))))) (87)
1(1(1(2(1(2(1(3(2(3(2(0(5(3(2(4(4(4(0(2(1(2(3(1(4(3(0(2(x1)))))))))))))))))))))))))))) 1(1(1(2(1(2(1(3(2(3(2(0(5(3(2(4(4(4(0(2(1(2(3(4(1(3(0(2(x1)))))))))))))))))))))))))))) (88)
4(1(2(5(3(3(4(4(3(1(3(4(3(5(0(3(3(3(1(5(2(1(1(2(1(5(5(3(x1)))))))))))))))))))))))))))) 4(1(5(2(3(3(4(4(3(1(3(4(3(5(0(3(3(3(1(5(2(1(1(2(1(5(5(3(x1)))))))))))))))))))))))))))) (89)
1(3(5(0(0(5(0(4(1(2(3(5(4(5(5(5(5(0(2(4(2(5(5(5(0(5(4(5(0(x1))))))))))))))))))))))))))))) 1(3(0(5(0(5(0(4(1(2(3(5(4(5(5(5(5(0(2(4(2(5(5(5(0(5(4(5(0(x1))))))))))))))))))))))))))))) (90)
3(2(4(1(3(1(4(0(4(2(2(2(3(2(3(2(2(5(3(4(3(0(3(2(3(3(1(0(0(x1))))))))))))))))))))))))))))) 3(2(4(1(3(1(4(0(4(2(2(2(3(2(3(2(2(5(3(4(3(0(3(3(2(3(1(0(0(x1))))))))))))))))))))))))))))) (91)
5(1(2(4(1(0(2(4(5(4(4(4(4(3(0(1(1(2(3(1(3(0(4(0(0(3(2(3(2(x1))))))))))))))))))))))))))))) 5(1(2(4(1(0(2(4(5(4(4(4(4(3(0(1(1(2(3(3(1(0(4(0(0(3(2(3(2(x1))))))))))))))))))))))))))))) (92)
5(4(1(5(2(1(2(0(3(1(4(0(5(2(3(0(1(4(1(1(1(1(5(3(1(1(0(4(2(x1))))))))))))))))))))))))))))) 5(1(2(1(2(3(4(5(1(4(2(1(0(4(0(1(0(5(1(3(1(3(5(1(4(1(1(0(2(x1))))))))))))))))))))))))))))) (93)
0(2(1(1(2(4(1(2(3(2(4(5(1(4(5(1(5(4(0(2(3(4(1(0(3(5(0(2(1(4(x1)))))))))))))))))))))))))))))) 0(2(1(1(2(4(1(2(3(2(4(5(1(4(5(1(5(4(0(2(3(4(1(3(0(5(0(2(1(4(x1)))))))))))))))))))))))))))))) (94)
2(4(4(0(5(4(1(1(3(5(0(4(0(2(5(5(0(4(5(3(3(5(5(0(4(1(5(4(5(2(x1)))))))))))))))))))))))))))))) 2(4(4(0(5(4(1(1(3(0(5(4(0(2(5(5(0(4(5(3(3(5(5(0(4(1(4(5(5(2(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 +
112
[4(x1)] = x1 +
112
[3(x1)] = x1 +
113
[2(x1)] = x1 +
104
[1(x1)] = x1 +
112
[0(x1)] = x1 +
73
all of the following rules can be deleted.
2(1(1(2(1(2(3(5(1(0(x1)))))))))) 0(2(0(2(2(1(5(2(1(0(x1)))))))))) (7)
3(4(1(1(1(0(1(5(5(5(x1)))))))))) 2(3(2(1(2(1(2(5(2(1(x1)))))))))) (8)
4(0(1(5(0(1(2(5(4(1(x1)))))))))) 4(2(0(0(2(0(4(0(4(2(x1)))))))))) (9)
0(0(0(5(1(4(2(1(2(1(5(x1))))))))))) 5(2(5(3(3(4(0(5(0(0(x1)))))))))) (11)
0(0(5(4(1(5(0(1(1(0(3(x1))))))))))) 5(5(0(2(5(2(4(3(0(3(x1)))))))))) (12)
0(2(2(0(5(1(1(3(1(2(3(x1))))))))))) 2(3(0(1(2(5(3(0(4(0(x1)))))))))) (13)
0(3(2(5(4(1(4(3(3(2(2(x1))))))))))) 0(4(4(0(1(0(0(2(4(5(x1)))))))))) (14)
0(5(5(1(1(0(3(4(3(2(3(x1))))))))))) 1(1(4(2(4(3(2(0(2(0(x1)))))))))) (15)
1(0(4(3(0(4(0(0(2(5(1(x1))))))))))) 2(3(5(3(2(0(1(4(0(3(x1)))))))))) (16)
1(1(3(5(3(2(4(1(1(5(2(x1))))))))))) 0(3(3(1(5(5(2(3(0(3(x1)))))))))) (18)
1(2(0(0(3(5(0(3(2(1(0(x1))))))))))) 4(2(3(1(2(5(0(1(2(2(x1)))))))))) (19)
1(3(3(2(2(0(1(1(0(4(5(x1))))))))))) 3(5(0(0(3(2(4(1(0(1(x1)))))))))) (20)
1(4(3(3(1(4(3(2(3(5(4(x1))))))))))) 1(1(5(0(1(0(3(3(4(4(x1)))))))))) (21)
1(5(2(2(1(0(5(1(4(0(4(x1))))))))))) 0(1(3(1(2(4(1(2(5(5(x1)))))))))) (22)
2(2(0(2(0(1(1(1(2(5(1(x1))))))))))) 5(1(2(1(3(0(5(2(5(0(x1)))))))))) (23)
2(4(3(5(4(3(5(2(4(1(1(x1))))))))))) 3(2(3(0(5(0(2(0(3(5(x1)))))))))) (24)
2(4(4(2(1(2(3(3(5(2(0(x1))))))))))) 3(4(1(0(4(1(3(0(1(1(x1)))))))))) (25)
2(5(2(2(5(2(4(2(2(4(5(x1))))))))))) 5(1(0(3(0(3(2(1(5(2(x1)))))))))) (26)
2(5(3(1(2(2(1(3(0(2(4(x1))))))))))) 4(1(3(2(3(1(0(4(2(2(x1)))))))))) (27)
3(0(2(5(1(4(5(1(4(2(1(x1))))))))))) 0(3(4(0(2(5(5(1(1(3(x1)))))))))) (28)
3(0(3(2(4(0(4(1(0(2(3(x1))))))))))) 5(1(4(1(2(3(2(2(4(4(x1)))))))))) (29)
3(0(4(5(3(1(2(0(3(0(3(x1))))))))))) 5(4(1(5(0(5(2(2(4(0(x1)))))))))) (30)
3(1(3(5(4(3(0(3(2(2(1(x1))))))))))) 1(3(3(1(5(2(2(4(0(3(x1)))))))))) (31)
3(2(3(5(2(3(5(5(5(2(5(x1))))))))))) 0(0(0(2(4(0(3(5(3(3(x1)))))))))) (32)
3(3(0(1(0(4(3(2(5(5(5(x1))))))))))) 1(0(3(2(1(5(2(4(0(2(x1)))))))))) (33)
3(3(0(3(5(4(2(0(5(4(2(x1))))))))))) 4(0(1(4(3(2(3(3(1(4(x1)))))))))) (34)
3(3(5(0(5(2(4(3(0(2(2(x1))))))))))) 2(5(0(4(2(1(2(0(2(4(x1)))))))))) (35)
3(4(2(3(3(1(4(0(4(1(5(x1))))))))))) 0(3(5(2(1(4(0(3(2(3(x1)))))))))) (36)
3(5(0(0(3(2(4(4(3(4(5(x1))))))))))) 3(1(4(5(1(2(3(5(0(0(x1)))))))))) (37)
4(0(0(2(0(2(1(1(3(5(0(x1))))))))))) 1(5(2(2(2(0(2(0(4(4(x1)))))))))) (38)
4(3(2(1(4(1(1(1(4(1(1(x1))))))))))) 2(1(4(1(4(2(3(3(3(0(x1)))))))))) (39)
4(4(2(1(3(3(5(5(3(1(4(x1))))))))))) 0(5(5(3(5(3(5(1(5(3(x1)))))))))) (40)
4(5(0(3(1(4(3(5(5(3(3(x1))))))))))) 3(5(2(2(5(3(3(2(3(1(x1)))))))))) (41)
4(5(1(1(2(4(1(2(4(5(4(x1))))))))))) 0(0(0(3(5(1(1(0(0(3(x1)))))))))) (42)
4(5(3(5(2(3(3(0(0(5(4(x1))))))))))) 4(4(0(4(4(2(0(5(5(1(x1)))))))))) (43)
5(1(2(0(1(3(4(0(1(1(5(x1))))))))))) 3(0(2(1(4(0(5(3(1(2(x1)))))))))) (44)
5(5(2(3(1(5(1(4(0(3(3(x1))))))))))) 5(0(5(4(1(4(0(0(2(4(x1)))))))))) (45)
0(4(0(2(3(0(4(0(2(3(5(2(x1)))))))))))) 3(1(3(1(5(4(0(2(3(3(x1)))))))))) (48)
0(4(3(5(3(4(3(4(1(2(3(2(x1)))))))))))) 3(5(5(1(4(1(3(1(5(2(x1)))))))))) (49)
1(0(2(0(1(5(1(5(2(0(2(0(x1)))))))))))) 3(5(4(4(1(2(3(1(5(1(x1)))))))))) (50)
1(5(0(1(2(4(2(5(0(3(5(3(x1)))))))))))) 0(1(4(1(3(3(1(1(0(4(x1)))))))))) (51)
2(0(2(5(2(0(1(2(0(2(3(5(x1)))))))))))) 4(0(1(5(1(3(3(5(4(5(x1)))))))))) (52)
3(4(2(5(3(5(0(2(2(4(2(2(x1)))))))))))) 3(4(4(4(1(4(4(0(4(0(x1)))))))))) (53)
3(5(5(0(2(2(5(1(2(2(5(0(x1)))))))))))) 4(1(1(1(3(1(3(2(0(0(x1)))))))))) (54)
5(0(2(0(1(4(2(3(1(0(1(3(x1)))))))))))) 3(1(5(4(0(1(3(4(5(4(x1)))))))))) (55)
5(2(1(0(1(2(0(2(1(4(2(0(x1)))))))))))) 5(1(1(0(4(3(3(0(3(1(x1)))))))))) (56)
5(5(3(2(0(1(5(2(4(3(3(5(x1)))))))))))) 1(0(1(2(3(2(0(2(5(0(x1)))))))))) (57)
5(5(3(3(5(5(5(3(1(0(3(1(x1)))))))))))) 3(0(4(5(4(0(5(1(1(2(x1)))))))))) (58)
5(5(4(4(0(4(3(2(2(4(1(0(x1)))))))))))) 4(1(2(5(0(4(1(4(5(4(x1)))))))))) (59)
0(3(5(3(0(3(4(3(5(2(2(2(2(x1))))))))))))) 0(3(4(4(0(2(1(5(1(0(x1)))))))))) (60)

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 +
0
[51(x1)] = x1 +
19
[52(x1)] = x1 +
1
[53(x1)] = x1 +
0
[54(x1)] = x1 +
0
[55(x1)] = x1 +
1
[40(x1)] = x1 +
9
[41(x1)] = x1 +
3
[42(x1)] = x1 +
0
[43(x1)] = x1 +
1
[44(x1)] = x1 +
0
[45(x1)] = x1 +
9
[30(x1)] = x1 +
3
[31(x1)] = x1 +
0
[32(x1)] = x1 +
0
[33(x1)] = x1 +
1
[34(x1)] = x1 +
0
[35(x1)] = x1 +
1
[20(x1)] = x1 +
9
[21(x1)] = x1 +
3
[22(x1)] = x1 +
0
[23(x1)] = x1 +
0
[24(x1)] = x1 +
1
[25(x1)] = x1 +
0
[10(x1)] = x1 +
3
[11(x1)] = x1 +
9
[12(x1)] = x1 +
1
[13(x1)] = x1 +
0
[14(x1)] = x1 +
19
[15(x1)] = x1 +
0
[00(x1)] = x1 +
0
[01(x1)] = x1 +
19
[02(x1)] = x1 +
0
[03(x1)] = x1 +
3
[04(x1)] = x1 +
0
[05(x1)] = x1 +
9
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
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1986)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1987)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1988)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1989)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1990)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1991)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1992)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1993)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1994)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1995)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1996)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1997)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (1998)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (1999)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2000)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2001)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2002)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2003)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2004)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2005)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2006)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2007)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2008)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2009)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2010)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2011)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2012)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2013)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2014)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2015)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2016)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2017)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2018)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2019)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2020)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2021)

1.1.1.1.1.1 Dependency Pair Transformation

The following set of initial dependency pairs has been identified.
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 00#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2022)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2023)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 00#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2024)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2025)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 00#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2026)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2027)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 00#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2028)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2029)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 00#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (2030)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2031)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 00#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (2032)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2033)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 01#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2034)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2035)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 01#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2036)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2037)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 01#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2038)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2039)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 01#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2040)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2041)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 01#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (2042)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2043)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 01#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (2044)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2045)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 02#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2046)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2047)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 02#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2048)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2049)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 02#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2050)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2051)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 02#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2052)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2053)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 02#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (2054)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2055)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 02#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (2056)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2057)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 03#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2058)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2059)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 03#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2060)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2061)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 03#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2062)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2063)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 03#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2064)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2065)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 03#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (2066)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2067)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 03#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (2068)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2069)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 04#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2070)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2071)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 04#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2072)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2073)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 04#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2074)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2075)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 04#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2076)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2077)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 04#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (2078)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2079)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 04#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (2080)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2081)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2082)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2083)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2084)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2085)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2086)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2087)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2088)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2089)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2090)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (2091)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2092)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (2093)

1.1.1.1.1.1.1 Monotonic Reduction Pair Processor with Usable Rules

Using the matrix interpretations of dimension 1 with strict dimension 1 over the rationals with delta = 1
[52(x1)] = x1 +
0
[42(x1)] = x1 +
0
[43(x1)] = x1 +
0
[44(x1)] = x1 +
0
[45(x1)] = x1 +
0
[31(x1)] = x1 +
0
[32(x1)] = x1 +
0
[33(x1)] = x1 +
0
[34(x1)] = x1 +
0
[35(x1)] = x1 +
0
[20(x1)] = x1 +
0
[21(x1)] = x1 +
0
[22(x1)] = x1 +
0
[23(x1)] = x1 +
0
[11(x1)] = x1 +
0
[12(x1)] = x1 +
0
[15(x1)] = x1 +
0
[00(x1)] = x1 +
0
[01(x1)] = x1 +
0
[02(x1)] = x1 +
0
[03(x1)] = x1 +
0
[04(x1)] = x1 +
0
[05(x1)] = x1 +
1
[00#(x1)] = x1 +
1
[01#(x1)] = x1 +
1
[02#(x1)] = x1 +
1
[03#(x1)] = x1 +
1
[04#(x1)] = x1 +
1
[05#(x1)] = x1 +
0
together with the usable rules
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1986)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1987)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1988)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1989)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1990)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) (1991)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1992)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1993)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1994)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1995)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1996)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) (1997)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (1998)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (1999)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2000)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2001)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2002)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) (2003)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2004)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2005)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2006)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2007)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2008)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) (2009)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2010)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2011)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2012)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2013)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2014)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) (2015)
05(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2016)
04(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 04(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2017)
03(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 03(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2018)
02(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 02(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2019)
01(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 01(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2020)
00(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 00(05(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) (2021)
(w.r.t. the implicit argument filter of the reduction pair), the pairs
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2023)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2025)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2027)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2029)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2031)
00#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2033)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2035)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2037)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2039)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2041)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2043)
01#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2045)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2047)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2049)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2051)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2053)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2055)
02#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2057)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2059)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2061)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2063)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2065)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2067)
03#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2069)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2071)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2073)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2075)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2077)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2079)
04#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2081)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(52(x1))))))))))))))))))))))))))))) (2082)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(42(x1))))))))))))))))))))))))))))) (2084)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(32(x1))))))))))))))))))))))))))))) (2086)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(22(x1))))))))))))))))))))))))))))) (2088)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(12(x1))))))))))))))))))))))))))))) (2090)
05#(05(15(34(32(22(33(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1)))))))))))))))))))))))))))))) 05#(15(34(22(33(32(02(35(42(31(52(20(23(33(22(33(22(23(23(43(01(45(11(34(12(44(21(33(02(x1))))))))))))))))))))))))))))) (2092)
and no rules could be deleted.

1.1.1.1.1.1.1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.