The relative rewrite relation R/S is considered where R is the following TRS
1(4(0(5(3(x1))))) | → | 1(4(1(1(1(1(1(4(2(3(x1)))))))))) | (1) |
0(1(0(3(1(2(x1)))))) | → | 3(3(4(3(5(4(3(5(4(2(x1)))))))))) | (2) |
1(0(2(3(1(1(x1)))))) | → | 1(3(0(2(2(2(2(5(1(1(x1)))))))))) | (3) |
1(3(4(5(3(0(x1)))))) | → | 1(3(3(2(4(4(1(1(3(0(x1)))))))))) | (4) |
2(1(0(3(1(2(x1)))))) | → | 3(3(5(3(2(4(1(1(1(1(x1)))))))))) | (5) |
3(4(1(0(1(2(x1)))))) | → | 3(4(4(3(5(4(2(3(2(4(x1)))))))))) | (6) |
5(2(0(1(5(1(x1)))))) | → | 2(4(4(1(2(3(5(4(1(1(x1)))))))))) | (7) |
5(5(0(1(2(2(x1)))))) | → | 5(4(4(3(3(2(4(4(1(3(x1)))))))))) | (8) |
0(0(0(1(4(3(0(x1))))))) | → | 0(4(3(2(3(2(0(2(3(0(x1)))))))))) | (9) |
0(0(1(0(1(5(1(x1))))))) | → | 2(3(5(1(0(1(4(4(1(1(x1)))))))))) | (10) |
0(1(0(2(1(5(2(x1))))))) | → | 3(2(4(5(5(4(1(4(1(1(x1)))))))))) | (11) |
0(1(5(1(4(0(2(x1))))))) | → | 3(0(4(3(5(0(2(0(0(2(x1)))))))))) | (12) |
0(2(5(3(2(5(1(x1))))))) | → | 2(5(0(3(3(5(1(4(1(1(x1)))))))))) | (13) |
0(3(1(0(4(0(5(x1))))))) | → | 3(5(1(4(4(5(4(5(5(5(x1)))))))))) | (14) |
0(3(4(1(5(1(5(x1))))))) | → | 3(4(3(5(4(5(4(1(2(5(x1)))))))))) | (15) |
0(4(5(1(5(5(3(x1))))))) | → | 5(3(4(5(4(5(4(5(4(3(x1)))))))))) | (16) |
0(5(0(2(4(0(4(x1))))))) | → | 0(4(3(3(1(3(3(5(1(1(x1)))))))))) | (17) |
0(5(0(5(0(5(3(x1))))))) | → | 3(5(4(3(1(2(3(5(5(5(x1)))))))))) | (18) |
0(5(1(5(1(4(2(x1))))))) | → | 3(3(2(3(5(1(4(4(1(3(x1)))))))))) | (19) |
0(5(3(0(5(1(5(x1))))))) | → | 2(3(5(2(5(1(2(3(3(5(x1)))))))))) | (20) |
0(5(4(2(4(5(2(x1))))))) | → | 0(3(3(3(5(3(5(5(1(1(x1)))))))))) | (21) |
1(0(0(1(5(0(1(x1))))))) | → | 3(4(0(0(2(3(0(3(0(1(x1)))))))))) | (22) |
1(1(4(0(5(2(5(x1))))))) | → | 4(1(3(4(4(5(5(4(4(5(x1)))))))))) | (23) |
1(5(0(2(1(5(0(x1))))))) | → | 3(2(5(3(0(2(3(0(2(0(x1)))))))))) | (24) |
2(0(1(3(0(1(3(x1))))))) | → | 2(2(3(4(1(4(1(4(1(3(x1)))))))))) | (25) |
2(1(5(3(0(1(2(x1))))))) | → | 2(3(5(5(5(3(5(4(5(2(x1)))))))))) | (26) |
2(2(1(0(5(3(1(x1))))))) | → | 2(3(5(4(4(4(4(3(5(1(x1)))))))))) | (27) |
2(4(5(0(5(4(2(x1))))))) | → | 2(3(5(5(5(1(1(3(2(1(x1)))))))))) | (28) |
3(1(0(5(5(1(5(x1))))))) | → | 3(2(3(2(1(1(1(4(4(5(x1)))))))))) | (29) |
3(1(2(1(0(5(3(x1))))))) | → | 3(0(3(5(3(4(2(3(5(3(x1)))))))))) | (30) |
3(1(3(0(4(5(2(x1))))))) | → | 3(5(5(2(1(2(0(1(1(1(x1)))))))))) | (31) |
4(0(1(1(5(2(5(x1))))))) | → | 2(0(3(2(4(1(4(1(1(5(x1)))))))))) | (32) |
4(0(2(5(3(0(2(x1))))))) | → | 3(5(4(1(1(4(1(0(0(2(x1)))))))))) | (33) |
4(0(5(5(1(5(0(x1))))))) | → | 4(2(0(0(2(0(3(0(3(0(x1)))))))))) | (34) |
4(3(1(5(4(0(1(x1))))))) | → | 2(5(3(0(3(0(0(3(0(1(x1)))))))))) | (35) |
4(5(0(5(0(1(2(x1))))))) | → | 5(4(5(2(1(4(1(0(4(1(x1)))))))))) | (36) |
4(5(1(5(3(4(1(x1))))))) | → | 4(4(5(4(3(4(3(5(5(1(x1)))))))))) | (37) |
4(5(2(2(4(4(2(x1))))))) | → | 4(5(4(2(1(4(1(1(1(1(x1)))))))))) | (38) |
5(0(4(5(5(0(4(x1))))))) | → | 5(5(0(3(2(0(3(2(0(4(x1)))))))))) | (39) |
5(0(5(0(1(0(4(x1))))))) | → | 5(1(3(2(3(0(0(0(3(0(x1)))))))))) | (40) |
5(0(5(4(3(1(5(x1))))))) | → | 3(4(0(3(2(5(4(3(5(5(x1)))))))))) | (41) |
5(1(0(3(4(0(2(x1))))))) | → | 0(3(0(4(3(5(0(2(2(3(x1)))))))))) | (42) |
5(1(2(1(4(0(1(x1))))))) | → | 5(4(1(2(3(3(5(4(1(4(x1)))))))))) | (43) |
5(1(2(2(0(5(3(x1))))))) | → | 5(1(1(4(2(2(3(5(4(3(x1)))))))))) | (44) |
5(1(5(1(2(0(4(x1))))))) | → | 3(5(2(3(2(0(2(0(5(1(x1)))))))))) | (45) |
5(3(0(1(3(3(4(x1))))))) | → | 0(2(0(0(4(1(1(3(3(4(x1)))))))))) | (46) |
5(3(0(3(1(5(2(x1))))))) | → | 5(2(2(3(2(2(3(5(5(2(x1)))))))))) | (47) |
5(3(1(2(1(2(4(x1))))))) | → | 0(3(0(2(3(2(3(3(2(4(x1)))))))))) | (48) |
5(3(2(4(3(1(2(x1))))))) | → | 0(2(2(2(2(3(5(1(3(4(x1)))))))))) | (49) |
5(3(3(0(3(1(0(x1))))))) | → | 3(2(4(1(1(3(3(5(4(0(x1)))))))))) | (50) |
5(3(4(3(0(3(1(x1))))))) | → | 5(5(2(3(5(4(4(1(3(4(x1)))))))))) | (51) |
and S is the following TRS.
3(0(5(4(3(1(0(x1))))))) | → | 3(2(2(3(4(4(3(2(1(0(x1)))))))))) | (52) |
0(2(4(5(2(5(3(x1))))))) | → | 3(2(3(3(5(5(1(2(3(3(x1)))))))))) | (53) |
0(4(0(3(1(4(0(x1))))))) | → | 3(3(3(2(1(3(0(2(3(0(x1)))))))))) | (54) |
5(1(0(3(1(x1))))) | → | 5(4(4(1(1(1(5(4(1(1(x1)))))))))) | (55) |
1(5(5(1(2(0(x1)))))) | → | 1(5(5(0(2(2(3(0(2(0(x1)))))))))) | (56) |
0(1(0(1(2(x1))))) | → | 0(1(1(1(1(3(2(2(3(2(x1)))))))))) | (57) |
4(0(2(4(2(1(3(x1))))))) | → | 2(5(2(2(3(5(5(2(1(3(x1)))))))))) | (58) |
0(0(5(3(1(5(x1)))))) | → | 2(3(2(5(5(1(1(2(3(5(x1)))))))))) | (59) |
2(0(1(0(5(1(5(x1))))))) | → | 0(4(1(0(4(3(5(4(3(5(x1)))))))))) | (60) |
3(5(0(4(1(x1))))) | → | 3(2(4(1(1(1(1(1(4(1(x1)))))))))) | (61) |
2(1(3(0(1(0(x1)))))) | → | 2(4(5(3(4(5(3(4(3(3(x1)))))))))) | (62) |
1(1(3(2(0(1(x1)))))) | → | 1(1(5(2(2(2(2(0(3(1(x1)))))))))) | (63) |
0(3(5(4(3(1(x1)))))) | → | 0(3(1(1(4(4(2(3(3(1(x1)))))))))) | (64) |
2(1(3(0(1(2(x1)))))) | → | 1(1(1(1(4(2(3(5(3(3(x1)))))))))) | (65) |
2(1(0(1(4(3(x1)))))) | → | 4(2(3(2(4(5(3(4(4(3(x1)))))))))) | (66) |
1(5(1(0(2(5(x1)))))) | → | 1(1(4(5(3(2(1(4(4(2(x1)))))))))) | (67) |
2(2(1(0(5(5(x1)))))) | → | 3(1(4(4(2(3(3(4(4(5(x1)))))))))) | (68) |
0(3(4(1(0(0(0(x1))))))) | → | 0(3(2(0(2(3(2(3(4(0(x1)))))))))) | (69) |
1(5(1(0(1(0(0(x1))))))) | → | 1(1(4(4(1(0(1(5(3(2(x1)))))))))) | (70) |
2(5(1(2(0(1(0(x1))))))) | → | 1(1(4(1(4(5(5(4(2(3(x1)))))))))) | (71) |
2(0(4(1(5(1(0(x1))))))) | → | 2(0(0(2(0(5(3(4(0(3(x1)))))))))) | (72) |
1(5(2(3(5(2(0(x1))))))) | → | 1(1(4(1(5(3(3(0(5(2(x1)))))))))) | (73) |
5(0(4(0(1(3(0(x1))))))) | → | 5(5(5(4(5(4(4(1(5(3(x1)))))))))) | (74) |
5(1(5(1(4(3(0(x1))))))) | → | 5(2(1(4(5(4(5(3(4(3(x1)))))))))) | (75) |
3(5(5(1(5(4(0(x1))))))) | → | 3(4(5(4(5(4(5(4(3(5(x1)))))))))) | (76) |
4(0(4(2(0(5(0(x1))))))) | → | 1(1(5(3(3(1(3(3(4(0(x1)))))))))) | (77) |
3(5(0(5(0(5(0(x1))))))) | → | 5(5(5(3(2(1(3(4(5(3(x1)))))))))) | (78) |
2(4(1(5(1(5(0(x1))))))) | → | 3(1(4(4(1(5(3(2(3(3(x1)))))))))) | (79) |
5(1(5(0(3(5(0(x1))))))) | → | 5(3(3(2(1(5(2(5(3(2(x1)))))))))) | (80) |
2(5(4(2(4(5(0(x1))))))) | → | 1(1(5(5(3(5(3(3(3(0(x1)))))))))) | (81) |
1(0(5(1(0(0(1(x1))))))) | → | 1(0(3(0(3(2(0(0(4(3(x1)))))))))) | (82) |
5(2(5(0(4(1(1(x1))))))) | → | 5(4(4(5(5(4(4(3(1(4(x1)))))))))) | (83) |
0(5(1(2(0(5(1(x1))))))) | → | 0(2(0(3(2(0(3(5(2(3(x1)))))))))) | (84) |
3(1(0(3(1(0(2(x1))))))) | → | 3(1(4(1(4(1(4(3(2(2(x1)))))))))) | (85) |
2(1(0(3(5(1(2(x1))))))) | → | 2(5(4(5(3(5(5(5(3(2(x1)))))))))) | (86) |
1(3(5(0(1(2(2(x1))))))) | → | 1(5(3(4(4(4(4(5(3(2(x1)))))))))) | (87) |
2(4(5(0(5(4(2(x1))))))) | → | 1(2(3(1(1(5(5(5(3(2(x1)))))))))) | (88) |
5(1(5(5(0(1(3(x1))))))) | → | 5(4(4(1(1(1(2(3(2(3(x1)))))))))) | (89) |
3(5(0(1(2(1(3(x1))))))) | → | 3(5(3(2(4(3(5(3(0(3(x1)))))))))) | (90) |
2(5(4(0(3(1(3(x1))))))) | → | 1(1(1(0(2(1(2(5(5(3(x1)))))))))) | (91) |
5(2(5(1(1(0(4(x1))))))) | → | 5(1(1(4(1(4(2(3(0(2(x1)))))))))) | (92) |
2(0(3(5(2(0(4(x1))))))) | → | 2(0(0(1(4(1(1(4(5(3(x1)))))))))) | (93) |
0(5(1(5(5(0(4(x1))))))) | → | 0(3(0(3(0(2(0(0(2(4(x1)))))))))) | (94) |
1(0(4(5(1(3(4(x1))))))) | → | 1(0(3(0(0(3(0(3(5(2(x1)))))))))) | (95) |
2(1(0(5(0(5(4(x1))))))) | → | 1(4(0(1(4(1(2(5(4(5(x1)))))))))) | (96) |
1(4(3(5(1(5(4(x1))))))) | → | 1(5(5(3(4(3(4(5(4(4(x1)))))))))) | (97) |
2(4(4(2(2(5(4(x1))))))) | → | 1(1(1(1(4(1(2(4(5(4(x1)))))))))) | (98) |
4(0(5(5(4(0(5(x1))))))) | → | 4(0(2(3(0(2(3(0(5(5(x1)))))))))) | (99) |
4(0(1(0(5(0(5(x1))))))) | → | 0(3(0(0(0(3(2(3(1(5(x1)))))))))) | (100) |
5(1(3(4(5(0(5(x1))))))) | → | 5(5(3(4(5(2(3(0(4(3(x1)))))))))) | (101) |
2(0(4(3(0(1(5(x1))))))) | → | 3(2(2(0(5(3(4(0(3(0(x1)))))))))) | (102) |
1(0(4(1(2(1(5(x1))))))) | → | 4(1(4(5(3(3(2(1(4(5(x1)))))))))) | (103) |
3(5(0(2(2(1(5(x1))))))) | → | 3(4(5(3(2(2(4(1(1(5(x1)))))))))) | (104) |
4(0(2(1(5(1(5(x1))))))) | → | 1(5(0(2(0(2(3(2(5(3(x1)))))))))) | (105) |
4(3(3(1(0(3(5(x1))))))) | → | 4(3(3(1(1(4(0(0(2(0(x1)))))))))) | (106) |
2(5(1(3(0(3(5(x1))))))) | → | 2(5(5(3(2(2(3(2(2(5(x1)))))))))) | (107) |
4(2(1(2(1(3(5(x1))))))) | → | 4(2(3(3(2(3(2(0(3(0(x1)))))))))) | (108) |
2(1(3(4(2(3(5(x1))))))) | → | 4(3(1(5(3(2(2(2(2(0(x1)))))))))) | (109) |
0(1(3(0(3(3(5(x1))))))) | → | 0(4(5(3(3(1(1(4(2(3(x1)))))))))) | (110) |
1(3(0(3(4(3(5(x1))))))) | → | 4(3(1(4(4(5(3(2(5(5(x1)))))))))) | (111) |
0(1(3(4(5(0(3(x1))))))) | → | 0(1(2(3(4(4(3(2(2(3(x1)))))))))) | (112) |
3(5(2(5(4(2(0(x1))))))) | → | 3(3(2(1(5(5(3(3(2(3(x1)))))))))) | (113) |
0(4(1(3(0(4(0(x1))))))) | → | 0(3(2(0(3(1(2(3(3(3(x1)))))))))) | (114) |
1(3(0(1(5(x1))))) | → | 1(1(4(5(1(1(1(4(4(5(x1)))))))))) | (115) |
0(2(1(5(5(1(x1)))))) | → | 0(2(0(3(2(2(0(5(5(1(x1)))))))))) | (116) |
2(1(0(1(0(x1))))) | → | 2(3(2(2(3(1(1(1(1(0(x1)))))))))) | (117) |
3(1(2(4(2(0(4(x1))))))) | → | 3(1(2(5(5(3(2(2(5(2(x1)))))))))) | (118) |
5(1(3(5(0(0(x1)))))) | → | 5(3(2(1(1(5(5(2(3(2(x1)))))))))) | (119) |
5(1(5(0(1(0(2(x1))))))) | → | 5(3(4(5(3(4(0(1(4(0(x1)))))))))) | (120) |
{3(☐), 5(☐), 0(☐), 4(☐), 1(☐), 2(☐)}
We obtain the transformed TRSThere are 150 ruless (increase limit for explicit display).
Root-labeling is applied.
We obtain the labeled TRSThere are 900 ruless (increase limit for explicit display).
[35(x1)] | = | 1 · x1 |
[50(x1)] | = | 1 + 1 · x1 |
[04(x1)] | = | 1 · x1 |
[41(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 + 1 · x1 |
[32(x1)] | = | 1 · x1 |
[24(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[14(x1)] | = | 1 · x1 |
[15(x1)] | = | 1 + 1 · x1 |
[10(x1)] | = | 1 + 1 · x1 |
[12(x1)] | = | 1 + 1 · x1 |
[21(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[45(x1)] | = | 1 · x1 |
[53(x1)] | = | 1 · x1 |
[34(x1)] | = | 1 · x1 |
[43(x1)] | = | 1 + 1 · x1 |
[33(x1)] | = | 1 · x1 |
[05(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[52(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[54(x1)] | = | 1 · x1 |
[44(x1)] | = | 1 · x1 |
[42(x1)] | = | 1 + 1 · x1 |
[23(x1)] | = | 1 · x1 |
[51(x1)] | = | 1 · x1 |
[25(x1)] | = | 1 · x1 |
[55(x1)] | = | 1 · x1 |
[40(x1)] | = | 1 + 1 · x1 |
There are 630 ruless (increase limit for explicit display).
[11(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[15(x1)] | = | 1 · x1 |
[52(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 |
[14(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[35(x1)] | = | 1 + 1 · x1 |
[54(x1)] | = | 1 · x1 |
[43(x1)] | = | 1 · x1 |
[44(x1)] | = | 1 · x1 |
[42(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[34(x1)] | = | 1 · x1 |
[41(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[40(x1)] | = | 1 · x1 |
[05(x1)] | = | 1 · x1 |
[04(x1)] | = | 1 · x1 |
[53(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[25(x1)] | = | 1 · x1 |
[24(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[55(x1)] | = | 1 · x1 |
[51(x1)] | = | 1 · x1 |
[45(x1)] | = | 1 · x1 |
[50(x1)] | = | 1 · x1 |
03(35(54(43(31(13(x1)))))) | → | 03(31(11(14(44(42(23(33(31(13(x1)))))))))) | (247) |
03(35(54(43(31(15(x1)))))) | → | 03(31(11(14(44(42(23(33(31(15(x1)))))))))) | (248) |
03(35(54(43(31(10(x1)))))) | → | 03(31(11(14(44(42(23(33(31(10(x1)))))))))) | (249) |
03(35(54(43(31(14(x1)))))) | → | 03(31(11(14(44(42(23(33(31(14(x1)))))))))) | (250) |
03(35(54(43(31(11(x1)))))) | → | 03(31(11(14(44(42(23(33(31(11(x1)))))))))) | (251) |
03(35(54(43(31(12(x1)))))) | → | 03(31(11(14(44(42(23(33(31(12(x1)))))))))) | (252) |
15(52(23(35(52(20(03(x1))))))) | → | 11(14(41(15(53(33(30(05(52(23(x1)))))))))) | (277) |
15(52(23(35(52(20(05(x1))))))) | → | 11(14(41(15(53(33(30(05(52(25(x1)))))))))) | (278) |
15(52(23(35(52(20(00(x1))))))) | → | 11(14(41(15(53(33(30(05(52(20(x1)))))))))) | (279) |
15(52(23(35(52(20(04(x1))))))) | → | 11(14(41(15(53(33(30(05(52(24(x1)))))))))) | (280) |
15(52(23(35(52(20(01(x1))))))) | → | 11(14(41(15(53(33(30(05(52(21(x1)))))))))) | (281) |
15(52(23(35(52(20(02(x1))))))) | → | 11(14(41(15(53(33(30(05(52(22(x1)))))))))) | (282) |
20(03(35(52(20(04(44(x1))))))) | → | 20(00(01(14(41(11(14(45(53(34(x1)))))))))) | (364) |
20(03(35(52(20(04(41(x1))))))) | → | 20(00(01(14(41(11(14(45(53(31(x1)))))))))) | (365) |
14(43(35(51(15(54(43(x1))))))) | → | 15(55(53(34(43(34(45(54(44(43(x1)))))))))) | (379) |
14(43(35(51(15(54(45(x1))))))) | → | 15(55(53(34(43(34(45(54(44(45(x1)))))))))) | (380) |
14(43(35(51(15(54(40(x1))))))) | → | 15(55(53(34(43(34(45(54(44(40(x1)))))))))) | (381) |
14(43(35(51(15(54(44(x1))))))) | → | 15(55(53(34(43(34(45(54(44(44(x1)))))))))) | (382) |
14(43(35(51(15(54(41(x1))))))) | → | 15(55(53(34(43(34(45(54(44(41(x1)))))))))) | (383) |
14(43(35(51(15(54(42(x1))))))) | → | 15(55(53(34(43(34(45(54(44(42(x1)))))))))) | (384) |
43(33(31(10(03(35(53(x1))))))) | → | 43(33(31(11(14(40(00(02(20(03(x1)))))))))) | (403) |
43(33(31(10(03(35(55(x1))))))) | → | 43(33(31(11(14(40(00(02(20(05(x1)))))))))) | (404) |
43(33(31(10(03(35(54(x1))))))) | → | 43(33(31(11(14(40(00(02(20(04(x1)))))))))) | (406) |
43(33(31(10(03(35(51(x1))))))) | → | 43(33(31(11(14(40(00(02(20(01(x1)))))))))) | (407) |
43(33(31(10(03(35(52(x1))))))) | → | 43(33(31(11(14(40(00(02(20(02(x1)))))))))) | (408) |
01(13(30(03(33(35(53(x1))))))) | → | 04(45(53(33(31(11(14(42(23(33(x1)))))))))) | (421) |
01(13(30(03(33(35(54(x1))))))) | → | 04(45(53(33(31(11(14(42(23(34(x1)))))))))) | (424) |
01(13(30(03(33(35(51(x1))))))) | → | 04(45(53(33(31(11(14(42(23(31(x1)))))))))) | (425) |
01(13(30(03(33(35(52(x1))))))) | → | 04(45(53(33(31(11(14(42(23(32(x1)))))))))) | (426) |
32(21(13(34(42(23(35(53(x1)))))))) | → | 34(43(31(15(53(32(22(22(22(20(03(x1))))))))))) | (1003) |
32(21(13(34(42(23(35(55(x1)))))))) | → | 34(43(31(15(53(32(22(22(22(20(05(x1))))))))))) | (1004) |
32(21(13(34(42(23(35(54(x1)))))))) | → | 34(43(31(15(53(32(22(22(22(20(04(x1))))))))))) | (1006) |
32(21(13(34(42(23(35(51(x1)))))))) | → | 34(43(31(15(53(32(22(22(22(20(01(x1))))))))))) | (1007) |
32(21(13(34(42(23(35(52(x1)))))))) | → | 34(43(31(15(53(32(22(22(22(20(02(x1))))))))))) | (1008) |
52(21(13(34(42(23(35(53(x1)))))))) | → | 54(43(31(15(53(32(22(22(22(20(03(x1))))))))))) | (1009) |
52(21(13(34(42(23(35(55(x1)))))))) | → | 54(43(31(15(53(32(22(22(22(20(05(x1))))))))))) | (1010) |
52(21(13(34(42(23(35(54(x1)))))))) | → | 54(43(31(15(53(32(22(22(22(20(04(x1))))))))))) | (1012) |
52(21(13(34(42(23(35(51(x1)))))))) | → | 54(43(31(15(53(32(22(22(22(20(01(x1))))))))))) | (1013) |
52(21(13(34(42(23(35(52(x1)))))))) | → | 54(43(31(15(53(32(22(22(22(20(02(x1))))))))))) | (1014) |
02(21(13(34(42(23(35(53(x1)))))))) | → | 04(43(31(15(53(32(22(22(22(20(03(x1))))))))))) | (1015) |
02(21(13(34(42(23(35(55(x1)))))))) | → | 04(43(31(15(53(32(22(22(22(20(05(x1))))))))))) | (1016) |
02(21(13(34(42(23(35(54(x1)))))))) | → | 04(43(31(15(53(32(22(22(22(20(04(x1))))))))))) | (1018) |
02(21(13(34(42(23(35(51(x1)))))))) | → | 04(43(31(15(53(32(22(22(22(20(01(x1))))))))))) | (1019) |
02(21(13(34(42(23(35(52(x1)))))))) | → | 04(43(31(15(53(32(22(22(22(20(02(x1))))))))))) | (1020) |
22(21(13(34(42(23(35(53(x1)))))))) | → | 24(43(31(15(53(32(22(22(22(20(03(x1))))))))))) | (1033) |
22(21(13(34(42(23(35(55(x1)))))))) | → | 24(43(31(15(53(32(22(22(22(20(05(x1))))))))))) | (1034) |
22(21(13(34(42(23(35(54(x1)))))))) | → | 24(43(31(15(53(32(22(22(22(20(04(x1))))))))))) | (1036) |
22(21(13(34(42(23(35(51(x1)))))))) | → | 24(43(31(15(53(32(22(22(22(20(01(x1))))))))))) | (1037) |
22(21(13(34(42(23(35(52(x1)))))))) | → | 24(43(31(15(53(32(22(22(22(20(02(x1))))))))))) | (1038) |
35(52(25(54(42(20(03(x1))))))) | → | 33(32(21(15(55(53(33(32(23(33(x1)))))))))) | (1081) |
35(52(25(54(42(20(00(x1))))))) | → | 33(32(21(15(55(53(33(32(23(30(x1)))))))))) | (1083) |
35(52(25(54(42(20(04(x1))))))) | → | 33(32(21(15(55(53(33(32(23(34(x1)))))))))) | (1084) |
35(52(25(54(42(20(01(x1))))))) | → | 33(32(21(15(55(53(33(32(23(31(x1)))))))))) | (1085) |
35(52(25(54(42(20(02(x1))))))) | → | 33(32(21(15(55(53(33(32(23(32(x1)))))))))) | (1086) |
[11(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 + 1 · x1 |
[32(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[15(x1)] | = | 1 · x1 |
[52(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 + 1 · x1 |
[14(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[34(x1)] | = | 1 · x1 |
[41(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 + 1 · x1 |
[02(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[40(x1)] | = | 1 · x1 |
[05(x1)] | = | 1 · x1 |
[04(x1)] | = | 1 + 1 · x1 |
[35(x1)] | = | 1 · x1 |
[55(x1)] | = | 1 · x1 |
[51(x1)] | = | 1 · x1 |
[54(x1)] | = | 1 · x1 |
[45(x1)] | = | 1 · x1 |
[43(x1)] | = | 1 · x1 |
[50(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[25(x1)] | = | 1 · x1 |
[44(x1)] | = | 1 · x1 |
[42(x1)] | = | 1 · x1 |
[24(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[53(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
11(13(32(20(01(13(x1)))))) | → | 11(15(52(22(22(22(20(03(31(13(x1)))))))))) | (241) |
11(13(32(20(01(15(x1)))))) | → | 11(15(52(22(22(22(20(03(31(15(x1)))))))))) | (242) |
11(13(32(20(01(10(x1)))))) | → | 11(15(52(22(22(22(20(03(31(10(x1)))))))))) | (243) |
11(13(32(20(01(14(x1)))))) | → | 11(15(52(22(22(22(20(03(31(14(x1)))))))))) | (244) |
11(13(32(20(01(11(x1)))))) | → | 11(15(52(22(22(22(20(03(31(11(x1)))))))))) | (245) |
11(13(32(20(01(12(x1)))))) | → | 11(15(52(22(22(22(20(03(31(12(x1)))))))))) | (246) |
03(34(41(10(00(00(03(x1))))))) | → | 03(32(20(02(23(32(23(34(40(03(x1)))))))))) | (259) |
03(34(41(10(00(00(05(x1))))))) | → | 03(32(20(02(23(32(23(34(40(05(x1)))))))))) | (260) |
03(34(41(10(00(00(00(x1))))))) | → | 03(32(20(02(23(32(23(34(40(00(x1)))))))))) | (261) |
03(34(41(10(00(00(04(x1))))))) | → | 03(32(20(02(23(32(23(34(40(04(x1)))))))))) | (262) |
03(34(41(10(00(00(01(x1))))))) | → | 03(32(20(02(23(32(23(34(40(01(x1)))))))))) | (263) |
03(34(41(10(00(00(02(x1))))))) | → | 03(32(20(02(23(32(23(34(40(02(x1)))))))))) | (264) |
35(55(51(15(54(40(00(x1))))))) | → | 34(45(54(45(54(45(54(43(35(50(x1)))))))))) | (297) |
52(25(50(04(41(11(13(x1))))))) | → | 54(44(45(55(54(44(43(31(14(43(x1)))))))))) | (313) |
52(25(50(04(41(11(10(x1))))))) | → | 54(44(45(55(54(44(43(31(14(40(x1)))))))))) | (315) |
52(25(50(04(41(11(14(x1))))))) | → | 54(44(45(55(54(44(43(31(14(44(x1)))))))))) | (316) |
52(25(50(04(41(11(11(x1))))))) | → | 54(44(45(55(54(44(43(31(14(41(x1)))))))))) | (317) |
52(25(50(04(41(11(12(x1))))))) | → | 54(44(45(55(54(44(43(31(14(42(x1)))))))))) | (318) |
52(25(51(11(10(04(45(x1))))))) | → | 51(11(14(41(14(42(23(30(02(25(x1)))))))))) | (356) |
52(25(51(11(10(04(44(x1))))))) | → | 51(11(14(41(14(42(23(30(02(24(x1)))))))))) | (358) |
52(25(51(11(10(04(41(x1))))))) | → | 51(11(14(41(14(42(23(30(02(21(x1)))))))))) | (359) |
32(21(10(01(14(43(33(x1))))))) | → | 34(42(23(32(24(45(53(34(44(43(33(x1))))))))))) | (463) |
32(21(10(01(14(43(35(x1))))))) | → | 34(42(23(32(24(45(53(34(44(43(35(x1))))))))))) | (464) |
32(21(10(01(14(43(30(x1))))))) | → | 34(42(23(32(24(45(53(34(44(43(30(x1))))))))))) | (465) |
32(21(10(01(14(43(34(x1))))))) | → | 34(42(23(32(24(45(53(34(44(43(34(x1))))))))))) | (466) |
32(21(10(01(14(43(31(x1))))))) | → | 34(42(23(32(24(45(53(34(44(43(31(x1))))))))))) | (467) |
32(21(10(01(14(43(32(x1))))))) | → | 34(42(23(32(24(45(53(34(44(43(32(x1))))))))))) | (468) |
52(21(10(01(14(43(33(x1))))))) | → | 54(42(23(32(24(45(53(34(44(43(33(x1))))))))))) | (469) |
52(21(10(01(14(43(35(x1))))))) | → | 54(42(23(32(24(45(53(34(44(43(35(x1))))))))))) | (470) |
52(21(10(01(14(43(30(x1))))))) | → | 54(42(23(32(24(45(53(34(44(43(30(x1))))))))))) | (471) |
52(21(10(01(14(43(34(x1))))))) | → | 54(42(23(32(24(45(53(34(44(43(34(x1))))))))))) | (472) |
52(21(10(01(14(43(31(x1))))))) | → | 54(42(23(32(24(45(53(34(44(43(31(x1))))))))))) | (473) |
52(21(10(01(14(43(32(x1))))))) | → | 54(42(23(32(24(45(53(34(44(43(32(x1))))))))))) | (474) |
22(21(10(01(14(43(33(x1))))))) | → | 24(42(23(32(24(45(53(34(44(43(33(x1))))))))))) | (493) |
22(21(10(01(14(43(35(x1))))))) | → | 24(42(23(32(24(45(53(34(44(43(35(x1))))))))))) | (494) |
22(21(10(01(14(43(30(x1))))))) | → | 24(42(23(32(24(45(53(34(44(43(30(x1))))))))))) | (495) |
22(21(10(01(14(43(34(x1))))))) | → | 24(42(23(32(24(45(53(34(44(43(34(x1))))))))))) | (496) |
22(21(10(01(14(43(31(x1))))))) | → | 24(42(23(32(24(45(53(34(44(43(31(x1))))))))))) | (497) |
22(21(10(01(14(43(32(x1))))))) | → | 24(42(23(32(24(45(53(34(44(43(32(x1))))))))))) | (498) |
32(22(21(10(05(55(53(x1))))))) | → | 33(31(14(44(42(23(33(34(44(45(53(x1))))))))))) | (499) |
32(22(21(10(05(55(55(x1))))))) | → | 33(31(14(44(42(23(33(34(44(45(55(x1))))))))))) | (500) |
32(22(21(10(05(55(50(x1))))))) | → | 33(31(14(44(42(23(33(34(44(45(50(x1))))))))))) | (501) |
32(22(21(10(05(55(54(x1))))))) | → | 33(31(14(44(42(23(33(34(44(45(54(x1))))))))))) | (502) |
32(22(21(10(05(55(51(x1))))))) | → | 33(31(14(44(42(23(33(34(44(45(51(x1))))))))))) | (503) |
32(22(21(10(05(55(52(x1))))))) | → | 33(31(14(44(42(23(33(34(44(45(52(x1))))))))))) | (504) |
52(22(21(10(05(55(53(x1))))))) | → | 53(31(14(44(42(23(33(34(44(45(53(x1))))))))))) | (505) |
52(22(21(10(05(55(55(x1))))))) | → | 53(31(14(44(42(23(33(34(44(45(55(x1))))))))))) | (506) |
52(22(21(10(05(55(50(x1))))))) | → | 53(31(14(44(42(23(33(34(44(45(50(x1))))))))))) | (507) |
52(22(21(10(05(55(54(x1))))))) | → | 53(31(14(44(42(23(33(34(44(45(54(x1))))))))))) | (508) |
52(22(21(10(05(55(51(x1))))))) | → | 53(31(14(44(42(23(33(34(44(45(51(x1))))))))))) | (509) |
52(22(21(10(05(55(52(x1))))))) | → | 53(31(14(44(42(23(33(34(44(45(52(x1))))))))))) | (510) |
02(22(21(10(05(55(53(x1))))))) | → | 03(31(14(44(42(23(33(34(44(45(53(x1))))))))))) | (511) |
02(22(21(10(05(55(55(x1))))))) | → | 03(31(14(44(42(23(33(34(44(45(55(x1))))))))))) | (512) |
02(22(21(10(05(55(50(x1))))))) | → | 03(31(14(44(42(23(33(34(44(45(50(x1))))))))))) | (513) |
02(22(21(10(05(55(54(x1))))))) | → | 03(31(14(44(42(23(33(34(44(45(54(x1))))))))))) | (514) |
02(22(21(10(05(55(51(x1))))))) | → | 03(31(14(44(42(23(33(34(44(45(51(x1))))))))))) | (515) |
02(22(21(10(05(55(52(x1))))))) | → | 03(31(14(44(42(23(33(34(44(45(52(x1))))))))))) | (516) |
42(22(21(10(05(55(53(x1))))))) | → | 43(31(14(44(42(23(33(34(44(45(53(x1))))))))))) | (517) |
42(22(21(10(05(55(55(x1))))))) | → | 43(31(14(44(42(23(33(34(44(45(55(x1))))))))))) | (518) |
42(22(21(10(05(55(50(x1))))))) | → | 43(31(14(44(42(23(33(34(44(45(50(x1))))))))))) | (519) |
42(22(21(10(05(55(54(x1))))))) | → | 43(31(14(44(42(23(33(34(44(45(54(x1))))))))))) | (520) |
42(22(21(10(05(55(51(x1))))))) | → | 43(31(14(44(42(23(33(34(44(45(51(x1))))))))))) | (521) |
42(22(21(10(05(55(52(x1))))))) | → | 43(31(14(44(42(23(33(34(44(45(52(x1))))))))))) | (522) |
22(22(21(10(05(55(53(x1))))))) | → | 23(31(14(44(42(23(33(34(44(45(53(x1))))))))))) | (529) |
22(22(21(10(05(55(55(x1))))))) | → | 23(31(14(44(42(23(33(34(44(45(55(x1))))))))))) | (530) |
22(22(21(10(05(55(50(x1))))))) | → | 23(31(14(44(42(23(33(34(44(45(50(x1))))))))))) | (531) |
22(22(21(10(05(55(54(x1))))))) | → | 23(31(14(44(42(23(33(34(44(45(54(x1))))))))))) | (532) |
22(22(21(10(05(55(51(x1))))))) | → | 23(31(14(44(42(23(33(34(44(45(51(x1))))))))))) | (533) |
22(22(21(10(05(55(52(x1))))))) | → | 23(31(14(44(42(23(33(34(44(45(52(x1))))))))))) | (534) |
04(40(04(42(20(05(50(03(x1)))))))) | → | 01(11(15(53(33(31(13(33(34(40(03(x1))))))))))) | (583) |
04(40(04(42(20(05(50(05(x1)))))))) | → | 01(11(15(53(33(31(13(33(34(40(05(x1))))))))))) | (584) |
04(40(04(42(20(05(50(00(x1)))))))) | → | 01(11(15(53(33(31(13(33(34(40(00(x1))))))))))) | (585) |
04(40(04(42(20(05(50(04(x1)))))))) | → | 01(11(15(53(33(31(13(33(34(40(04(x1))))))))))) | (586) |
04(40(04(42(20(05(50(01(x1)))))))) | → | 01(11(15(53(33(31(13(33(34(40(01(x1))))))))))) | (587) |
04(40(04(42(20(05(50(02(x1)))))))) | → | 01(11(15(53(33(31(13(33(34(40(02(x1))))))))))) | (588) |
32(21(10(05(50(05(54(45(x1)))))))) | → | 31(14(40(01(14(41(12(25(54(45(55(x1))))))))))) | (788) |
32(21(10(05(50(05(54(40(x1)))))))) | → | 31(14(40(01(14(41(12(25(54(45(50(x1))))))))))) | (789) |
32(21(10(05(50(05(54(44(x1)))))))) | → | 31(14(40(01(14(41(12(25(54(45(54(x1))))))))))) | (790) |
32(21(10(05(50(05(54(41(x1)))))))) | → | 31(14(40(01(14(41(12(25(54(45(51(x1))))))))))) | (791) |
52(21(10(05(50(05(54(45(x1)))))))) | → | 51(14(40(01(14(41(12(25(54(45(55(x1))))))))))) | (794) |
52(21(10(05(50(05(54(40(x1)))))))) | → | 51(14(40(01(14(41(12(25(54(45(50(x1))))))))))) | (795) |
52(21(10(05(50(05(54(44(x1)))))))) | → | 51(14(40(01(14(41(12(25(54(45(54(x1))))))))))) | (796) |
52(21(10(05(50(05(54(41(x1)))))))) | → | 51(14(40(01(14(41(12(25(54(45(51(x1))))))))))) | (797) |
02(21(10(05(50(05(54(45(x1)))))))) | → | 01(14(40(01(14(41(12(25(54(45(55(x1))))))))))) | (800) |
02(21(10(05(50(05(54(40(x1)))))))) | → | 01(14(40(01(14(41(12(25(54(45(50(x1))))))))))) | (801) |
02(21(10(05(50(05(54(44(x1)))))))) | → | 01(14(40(01(14(41(12(25(54(45(54(x1))))))))))) | (802) |
02(21(10(05(50(05(54(41(x1)))))))) | → | 01(14(40(01(14(41(12(25(54(45(51(x1))))))))))) | (803) |
22(21(10(05(50(05(54(45(x1)))))))) | → | 21(14(40(01(14(41(12(25(54(45(55(x1))))))))))) | (818) |
22(21(10(05(50(05(54(40(x1)))))))) | → | 21(14(40(01(14(41(12(25(54(45(50(x1))))))))))) | (819) |
22(21(10(05(50(05(54(44(x1)))))))) | → | 21(14(40(01(14(41(12(25(54(45(54(x1))))))))))) | (820) |
22(21(10(05(50(05(54(41(x1)))))))) | → | 21(14(40(01(14(41(12(25(54(45(51(x1))))))))))) | (821) |
01(13(34(45(50(03(33(x1))))))) | → | 01(12(23(34(44(43(32(22(23(33(x1)))))))))) | (1075) |
01(13(34(45(50(03(35(x1))))))) | → | 01(12(23(34(44(43(32(22(23(35(x1)))))))))) | (1076) |
01(13(34(45(50(03(30(x1))))))) | → | 01(12(23(34(44(43(32(22(23(30(x1)))))))))) | (1077) |
01(13(34(45(50(03(34(x1))))))) | → | 01(12(23(34(44(43(32(22(23(34(x1)))))))))) | (1078) |
01(13(34(45(50(03(31(x1))))))) | → | 01(12(23(34(44(43(32(22(23(31(x1)))))))))) | (1079) |
01(13(34(45(50(03(32(x1))))))) | → | 01(12(23(34(44(43(32(22(23(32(x1)))))))))) | (1080) |
[10(x1)] | = | 1 · x1 |
[05(x1)] | = | 1 + 1 · x1 |
[51(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[14(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 + 1 · x1 |
[32(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[04(x1)] | = | 1 · x1 |
[43(x1)] | = | 1 · x1 |
[34(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[35(x1)] | = | 1 · x1 |
[52(x1)] | = | 1 · x1 |
[45(x1)] | = | 1 · x1 |
[41(x1)] | = | 1 · x1 |
[53(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[55(x1)] | = | 1 · x1 |
[42(x1)] | = | 1 · x1 |
[23(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 + 1 · x1 |
[21(x1)] | = | 1 · x1 |
[24(x1)] | = | 1 · x1 |
[44(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[50(x1)] | = | 1 · x1 |
[54(x1)] | = | 1 · x1 |
[40(x1)] | = | 1 + 1 · x1 |
[15(x1)] | = | 1 · x1 |
[25(x1)] | = | 1 · x1 |
01(13(30(03(33(35(55(x1))))))) | → | 04(45(53(33(31(11(14(42(23(35(x1)))))))))) | (422) |
02(21(10(01(14(43(33(x1))))))) | → | 04(42(23(32(24(45(53(34(44(43(33(x1))))))))))) | (475) |
02(21(10(01(14(43(35(x1))))))) | → | 04(42(23(32(24(45(53(34(44(43(35(x1))))))))))) | (476) |
02(21(10(01(14(43(30(x1))))))) | → | 04(42(23(32(24(45(53(34(44(43(30(x1))))))))))) | (477) |
02(21(10(01(14(43(34(x1))))))) | → | 04(42(23(32(24(45(53(34(44(43(34(x1))))))))))) | (478) |
02(21(10(01(14(43(31(x1))))))) | → | 04(42(23(32(24(45(53(34(44(43(31(x1))))))))))) | (479) |
02(21(10(01(14(43(32(x1))))))) | → | 04(42(23(32(24(45(53(34(44(43(32(x1))))))))))) | (480) |
12(22(21(10(05(55(53(x1))))))) | → | 13(31(14(44(42(23(33(34(44(45(53(x1))))))))))) | (523) |
12(22(21(10(05(55(55(x1))))))) | → | 13(31(14(44(42(23(33(34(44(45(55(x1))))))))))) | (524) |
12(22(21(10(05(55(50(x1))))))) | → | 13(31(14(44(42(23(33(34(44(45(50(x1))))))))))) | (525) |
12(22(21(10(05(55(54(x1))))))) | → | 13(31(14(44(42(23(33(34(44(45(54(x1))))))))))) | (526) |
12(22(21(10(05(55(51(x1))))))) | → | 13(31(14(44(42(23(33(34(44(45(51(x1))))))))))) | (527) |
12(22(21(10(05(55(52(x1))))))) | → | 13(31(14(44(42(23(33(34(44(45(52(x1))))))))))) | (528) |
34(40(04(42(20(05(50(03(x1)))))))) | → | 31(11(15(53(33(31(13(33(34(40(03(x1))))))))))) | (571) |
34(40(04(42(20(05(50(05(x1)))))))) | → | 31(11(15(53(33(31(13(33(34(40(05(x1))))))))))) | (572) |
34(40(04(42(20(05(50(00(x1)))))))) | → | 31(11(15(53(33(31(13(33(34(40(00(x1))))))))))) | (573) |
34(40(04(42(20(05(50(04(x1)))))))) | → | 31(11(15(53(33(31(13(33(34(40(04(x1))))))))))) | (574) |
34(40(04(42(20(05(50(01(x1)))))))) | → | 31(11(15(53(33(31(13(33(34(40(01(x1))))))))))) | (575) |
34(40(04(42(20(05(50(02(x1)))))))) | → | 31(11(15(53(33(31(13(33(34(40(02(x1))))))))))) | (576) |
54(40(04(42(20(05(50(03(x1)))))))) | → | 51(11(15(53(33(31(13(33(34(40(03(x1))))))))))) | (577) |
54(40(04(42(20(05(50(05(x1)))))))) | → | 51(11(15(53(33(31(13(33(34(40(05(x1))))))))))) | (578) |
54(40(04(42(20(05(50(00(x1)))))))) | → | 51(11(15(53(33(31(13(33(34(40(00(x1))))))))))) | (579) |
54(40(04(42(20(05(50(04(x1)))))))) | → | 51(11(15(53(33(31(13(33(34(40(04(x1))))))))))) | (580) |
54(40(04(42(20(05(50(01(x1)))))))) | → | 51(11(15(53(33(31(13(33(34(40(01(x1))))))))))) | (581) |
54(40(04(42(20(05(50(02(x1)))))))) | → | 51(11(15(53(33(31(13(33(34(40(02(x1))))))))))) | (582) |
44(40(04(42(20(05(50(03(x1)))))))) | → | 41(11(15(53(33(31(13(33(34(40(03(x1))))))))))) | (589) |
44(40(04(42(20(05(50(05(x1)))))))) | → | 41(11(15(53(33(31(13(33(34(40(05(x1))))))))))) | (590) |
44(40(04(42(20(05(50(00(x1)))))))) | → | 41(11(15(53(33(31(13(33(34(40(00(x1))))))))))) | (591) |
44(40(04(42(20(05(50(04(x1)))))))) | → | 41(11(15(53(33(31(13(33(34(40(04(x1))))))))))) | (592) |
44(40(04(42(20(05(50(01(x1)))))))) | → | 41(11(15(53(33(31(13(33(34(40(01(x1))))))))))) | (593) |
44(40(04(42(20(05(50(02(x1)))))))) | → | 41(11(15(53(33(31(13(33(34(40(02(x1))))))))))) | (594) |
14(40(04(42(20(05(50(03(x1)))))))) | → | 11(11(15(53(33(31(13(33(34(40(03(x1))))))))))) | (595) |
14(40(04(42(20(05(50(05(x1)))))))) | → | 11(11(15(53(33(31(13(33(34(40(05(x1))))))))))) | (596) |
14(40(04(42(20(05(50(00(x1)))))))) | → | 11(11(15(53(33(31(13(33(34(40(00(x1))))))))))) | (597) |
14(40(04(42(20(05(50(04(x1)))))))) | → | 11(11(15(53(33(31(13(33(34(40(04(x1))))))))))) | (598) |
14(40(04(42(20(05(50(01(x1)))))))) | → | 11(11(15(53(33(31(13(33(34(40(01(x1))))))))))) | (599) |
14(40(04(42(20(05(50(02(x1)))))))) | → | 11(11(15(53(33(31(13(33(34(40(02(x1))))))))))) | (600) |
24(40(04(42(20(05(50(03(x1)))))))) | → | 21(11(15(53(33(31(13(33(34(40(03(x1))))))))))) | (601) |
24(40(04(42(20(05(50(05(x1)))))))) | → | 21(11(15(53(33(31(13(33(34(40(05(x1))))))))))) | (602) |
24(40(04(42(20(05(50(00(x1)))))))) | → | 21(11(15(53(33(31(13(33(34(40(00(x1))))))))))) | (603) |
24(40(04(42(20(05(50(04(x1)))))))) | → | 21(11(15(53(33(31(13(33(34(40(04(x1))))))))))) | (604) |
24(40(04(42(20(05(50(01(x1)))))))) | → | 21(11(15(53(33(31(13(33(34(40(01(x1))))))))))) | (605) |
24(40(04(42(20(05(50(02(x1)))))))) | → | 21(11(15(53(33(31(13(33(34(40(02(x1))))))))))) | (606) |
32(24(45(50(05(54(42(23(x1)))))))) | → | 31(12(23(31(11(15(55(55(53(32(23(x1))))))))))) | (715) |
32(24(45(50(05(54(42(25(x1)))))))) | → | 31(12(23(31(11(15(55(55(53(32(25(x1))))))))))) | (716) |
32(24(45(50(05(54(42(20(x1)))))))) | → | 31(12(23(31(11(15(55(55(53(32(20(x1))))))))))) | (717) |
32(24(45(50(05(54(42(24(x1)))))))) | → | 31(12(23(31(11(15(55(55(53(32(24(x1))))))))))) | (718) |
32(24(45(50(05(54(42(21(x1)))))))) | → | 31(12(23(31(11(15(55(55(53(32(21(x1))))))))))) | (719) |
32(24(45(50(05(54(42(22(x1)))))))) | → | 31(12(23(31(11(15(55(55(53(32(22(x1))))))))))) | (720) |
52(24(45(50(05(54(42(23(x1)))))))) | → | 51(12(23(31(11(15(55(55(53(32(23(x1))))))))))) | (721) |
52(24(45(50(05(54(42(25(x1)))))))) | → | 51(12(23(31(11(15(55(55(53(32(25(x1))))))))))) | (722) |
52(24(45(50(05(54(42(20(x1)))))))) | → | 51(12(23(31(11(15(55(55(53(32(20(x1))))))))))) | (723) |
52(24(45(50(05(54(42(24(x1)))))))) | → | 51(12(23(31(11(15(55(55(53(32(24(x1))))))))))) | (724) |
52(24(45(50(05(54(42(21(x1)))))))) | → | 51(12(23(31(11(15(55(55(53(32(21(x1))))))))))) | (725) |
52(24(45(50(05(54(42(22(x1)))))))) | → | 51(12(23(31(11(15(55(55(53(32(22(x1))))))))))) | (726) |
02(24(45(50(05(54(42(23(x1)))))))) | → | 01(12(23(31(11(15(55(55(53(32(23(x1))))))))))) | (727) |
02(24(45(50(05(54(42(25(x1)))))))) | → | 01(12(23(31(11(15(55(55(53(32(25(x1))))))))))) | (728) |
02(24(45(50(05(54(42(20(x1)))))))) | → | 01(12(23(31(11(15(55(55(53(32(20(x1))))))))))) | (729) |
02(24(45(50(05(54(42(24(x1)))))))) | → | 01(12(23(31(11(15(55(55(53(32(24(x1))))))))))) | (730) |
02(24(45(50(05(54(42(21(x1)))))))) | → | 01(12(23(31(11(15(55(55(53(32(21(x1))))))))))) | (731) |
02(24(45(50(05(54(42(22(x1)))))))) | → | 01(12(23(31(11(15(55(55(53(32(22(x1))))))))))) | (732) |
22(24(45(50(05(54(42(23(x1)))))))) | → | 21(12(23(31(11(15(55(55(53(32(23(x1))))))))))) | (745) |
22(24(45(50(05(54(42(25(x1)))))))) | → | 21(12(23(31(11(15(55(55(53(32(25(x1))))))))))) | (746) |
22(24(45(50(05(54(42(20(x1)))))))) | → | 21(12(23(31(11(15(55(55(53(32(20(x1))))))))))) | (747) |
22(24(45(50(05(54(42(24(x1)))))))) | → | 21(12(23(31(11(15(55(55(53(32(24(x1))))))))))) | (748) |
22(24(45(50(05(54(42(21(x1)))))))) | → | 21(12(23(31(11(15(55(55(53(32(21(x1))))))))))) | (749) |
22(24(45(50(05(54(42(22(x1)))))))) | → | 21(12(23(31(11(15(55(55(53(32(22(x1))))))))))) | (750) |
02(25(54(40(03(31(13(33(x1)))))))) | → | 01(11(11(10(02(21(12(25(55(53(33(x1))))))))))) | (763) |
02(25(54(40(03(31(13(35(x1)))))))) | → | 01(11(11(10(02(21(12(25(55(53(35(x1))))))))))) | (764) |
02(25(54(40(03(31(13(30(x1)))))))) | → | 01(11(11(10(02(21(12(25(55(53(30(x1))))))))))) | (765) |
02(25(54(40(03(31(13(34(x1)))))))) | → | 01(11(11(10(02(21(12(25(55(53(34(x1))))))))))) | (766) |
02(25(54(40(03(31(13(31(x1)))))))) | → | 01(11(11(10(02(21(12(25(55(53(31(x1))))))))))) | (767) |
02(25(54(40(03(31(13(32(x1)))))))) | → | 01(11(11(10(02(21(12(25(55(53(32(x1))))))))))) | (768) |
02(24(44(42(22(25(54(43(x1)))))))) | → | 01(11(11(11(14(41(12(24(45(54(43(x1))))))))))) | (835) |
02(24(44(42(22(25(54(45(x1)))))))) | → | 01(11(11(11(14(41(12(24(45(54(45(x1))))))))))) | (836) |
02(24(44(42(22(25(54(40(x1)))))))) | → | 01(11(11(11(14(41(12(24(45(54(40(x1))))))))))) | (837) |
02(24(44(42(22(25(54(44(x1)))))))) | → | 01(11(11(11(14(41(12(24(45(54(44(x1))))))))))) | (838) |
02(24(44(42(22(25(54(41(x1)))))))) | → | 01(11(11(11(14(41(12(24(45(54(41(x1))))))))))) | (839) |
02(24(44(42(22(25(54(42(x1)))))))) | → | 01(11(11(11(14(41(12(24(45(54(42(x1))))))))))) | (840) |
35(52(25(54(42(20(05(x1))))))) | → | 33(32(21(15(55(53(33(32(23(35(x1)))))))))) | (1082) |
[10(x1)] | = | 1 · x1 |
[05(x1)] | = | 1 · x1 + 2 |
[51(x1)] | = | 1 · x1 |
[00(x1)] | = | 1 · x1 |
[01(x1)] | = | 1 · x1 |
[14(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[32(x1)] | = | 1 · x1 |
[20(x1)] | = | 1 · x1 |
[04(x1)] | = | 1 · x1 + 1 |
[43(x1)] | = | 1 · x1 |
[34(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[35(x1)] | = | 1 · x1 |
[52(x1)] | = | 1 · x1 |
[45(x1)] | = | 1 · x1 |
[41(x1)] | = | 1 · x1 |
[53(x1)] | = | 1 · x1 |
[25(x1)] | = | 1 · x1 |
[54(x1)] | = | 1 · x1 |
[40(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[55(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[24(x1)] | = | 1 · x1 |
[44(x1)] | = | 1 · x1 |
[42(x1)] | = | 1 · x1 |
10(05(51(10(00(01(14(x1))))))) | → | 10(03(30(03(32(20(00(04(43(34(x1)))))))))) | (310) |
10(05(51(10(00(01(11(x1))))))) | → | 10(03(30(03(32(20(00(04(43(31(x1)))))))))) | (311) |
20(03(35(52(20(04(45(x1))))))) | → | 20(00(01(14(41(11(14(45(53(35(x1)))))))))) | (362) |
[32(x1)] | = | 1 · x1 + 1 |
[25(x1)] | = | 1 · x1 |
[54(x1)] | = | 1 · x1 |
[40(x1)] | = | 1 · x1 |
[03(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[13(x1)] | = | 1 · x1 |
[33(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[10(x1)] | = | 1 · x1 |
[02(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[55(x1)] | = | 1 · x1 |
[53(x1)] | = | 1 · x1 |
[35(x1)] | = | 1 · x1 |
[30(x1)] | = | 1 · x1 |
[34(x1)] | = | 1 · x1 |
[52(x1)] | = | 1 · x1 + 1 |
[51(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 + 1 |
[24(x1)] | = | 1 · x1 |
[44(x1)] | = | 1 · x1 |
[42(x1)] | = | 1 · x1 |
[43(x1)] | = | 1 · x1 |
[14(x1)] | = | 1 · x1 + 2 |
[41(x1)] | = | 1 · x1 |
[45(x1)] | = | 1 · x1 |
32(25(54(40(03(31(13(33(x1)))))))) | → | 31(11(11(10(02(21(12(25(55(53(33(x1))))))))))) | (751) |
32(25(54(40(03(31(13(35(x1)))))))) | → | 31(11(11(10(02(21(12(25(55(53(35(x1))))))))))) | (752) |
32(25(54(40(03(31(13(30(x1)))))))) | → | 31(11(11(10(02(21(12(25(55(53(30(x1))))))))))) | (753) |
32(25(54(40(03(31(13(34(x1)))))))) | → | 31(11(11(10(02(21(12(25(55(53(34(x1))))))))))) | (754) |
32(25(54(40(03(31(13(31(x1)))))))) | → | 31(11(11(10(02(21(12(25(55(53(31(x1))))))))))) | (755) |
32(25(54(40(03(31(13(32(x1)))))))) | → | 31(11(11(10(02(21(12(25(55(53(32(x1))))))))))) | (756) |
52(25(54(40(03(31(13(33(x1)))))))) | → | 51(11(11(10(02(21(12(25(55(53(33(x1))))))))))) | (757) |
52(25(54(40(03(31(13(35(x1)))))))) | → | 51(11(11(10(02(21(12(25(55(53(35(x1))))))))))) | (758) |
52(25(54(40(03(31(13(30(x1)))))))) | → | 51(11(11(10(02(21(12(25(55(53(30(x1))))))))))) | (759) |
52(25(54(40(03(31(13(34(x1)))))))) | → | 51(11(11(10(02(21(12(25(55(53(34(x1))))))))))) | (760) |
52(25(54(40(03(31(13(31(x1)))))))) | → | 51(11(11(10(02(21(12(25(55(53(31(x1))))))))))) | (761) |
52(25(54(40(03(31(13(32(x1)))))))) | → | 51(11(11(10(02(21(12(25(55(53(32(x1))))))))))) | (762) |
22(25(54(40(03(31(13(33(x1)))))))) | → | 21(11(11(10(02(21(12(25(55(53(33(x1))))))))))) | (781) |
22(25(54(40(03(31(13(35(x1)))))))) | → | 21(11(11(10(02(21(12(25(55(53(35(x1))))))))))) | (782) |
22(25(54(40(03(31(13(30(x1)))))))) | → | 21(11(11(10(02(21(12(25(55(53(30(x1))))))))))) | (783) |
22(25(54(40(03(31(13(34(x1)))))))) | → | 21(11(11(10(02(21(12(25(55(53(34(x1))))))))))) | (784) |
22(25(54(40(03(31(13(31(x1)))))))) | → | 21(11(11(10(02(21(12(25(55(53(31(x1))))))))))) | (785) |
22(25(54(40(03(31(13(32(x1)))))))) | → | 21(11(11(10(02(21(12(25(55(53(32(x1))))))))))) | (786) |
[32(x1)] | = | 1 · x1 + 1 |
[24(x1)] | = | 1 · x1 |
[44(x1)] | = | 1 · x1 |
[42(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[25(x1)] | = | 1 · x1 |
[54(x1)] | = | 1 · x1 |
[43(x1)] | = | 1 · x1 |
[31(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[14(x1)] | = | 1 · x1 |
[41(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[45(x1)] | = | 1 · x1 |
[40(x1)] | = | 1 · x1 |
[52(x1)] | = | 1 · x1 |
[51(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
32(24(44(42(22(25(54(43(x1)))))))) | → | 31(11(11(11(14(41(12(24(45(54(43(x1))))))))))) | (823) |
32(24(44(42(22(25(54(45(x1)))))))) | → | 31(11(11(11(14(41(12(24(45(54(45(x1))))))))))) | (824) |
32(24(44(42(22(25(54(40(x1)))))))) | → | 31(11(11(11(14(41(12(24(45(54(40(x1))))))))))) | (825) |
32(24(44(42(22(25(54(44(x1)))))))) | → | 31(11(11(11(14(41(12(24(45(54(44(x1))))))))))) | (826) |
32(24(44(42(22(25(54(41(x1)))))))) | → | 31(11(11(11(14(41(12(24(45(54(41(x1))))))))))) | (827) |
32(24(44(42(22(25(54(42(x1)))))))) | → | 31(11(11(11(14(41(12(24(45(54(42(x1))))))))))) | (828) |
[52(x1)] | = | 1 · x1 + 1 |
[24(x1)] | = | 1 · x1 |
[44(x1)] | = | 1 · x1 |
[42(x1)] | = | 1 · x1 |
[22(x1)] | = | 1 · x1 |
[25(x1)] | = | 1 · x1 |
[54(x1)] | = | 1 · x1 |
[43(x1)] | = | 1 · x1 |
[51(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[14(x1)] | = | 1 · x1 |
[41(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[45(x1)] | = | 1 · x1 |
[40(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
52(24(44(42(22(25(54(43(x1)))))))) | → | 51(11(11(11(14(41(12(24(45(54(43(x1))))))))))) | (829) |
52(24(44(42(22(25(54(45(x1)))))))) | → | 51(11(11(11(14(41(12(24(45(54(45(x1))))))))))) | (830) |
52(24(44(42(22(25(54(40(x1)))))))) | → | 51(11(11(11(14(41(12(24(45(54(40(x1))))))))))) | (831) |
52(24(44(42(22(25(54(44(x1)))))))) | → | 51(11(11(11(14(41(12(24(45(54(44(x1))))))))))) | (832) |
52(24(44(42(22(25(54(41(x1)))))))) | → | 51(11(11(11(14(41(12(24(45(54(41(x1))))))))))) | (833) |
52(24(44(42(22(25(54(42(x1)))))))) | → | 51(11(11(11(14(41(12(24(45(54(42(x1))))))))))) | (834) |
[22(x1)] | = | 1 · x1 |
[24(x1)] | = | 1 · x1 |
[44(x1)] | = | 1 · x1 + 1 |
[42(x1)] | = | 1 · x1 |
[25(x1)] | = | 1 · x1 |
[54(x1)] | = | 1 · x1 |
[43(x1)] | = | 1 · x1 |
[21(x1)] | = | 1 · x1 |
[11(x1)] | = | 1 · x1 |
[14(x1)] | = | 1 · x1 |
[41(x1)] | = | 1 · x1 |
[12(x1)] | = | 1 · x1 |
[45(x1)] | = | 1 · x1 |
[40(x1)] | = | 1 · x1 |
22(24(44(42(22(25(54(43(x1)))))))) | → | 21(11(11(11(14(41(12(24(45(54(43(x1))))))))))) | (853) |
22(24(44(42(22(25(54(45(x1)))))))) | → | 21(11(11(11(14(41(12(24(45(54(45(x1))))))))))) | (854) |
22(24(44(42(22(25(54(40(x1)))))))) | → | 21(11(11(11(14(41(12(24(45(54(40(x1))))))))))) | (855) |
22(24(44(42(22(25(54(44(x1)))))))) | → | 21(11(11(11(14(41(12(24(45(54(44(x1))))))))))) | (856) |
22(24(44(42(22(25(54(41(x1)))))))) | → | 21(11(11(11(14(41(12(24(45(54(41(x1))))))))))) | (857) |
22(24(44(42(22(25(54(42(x1)))))))) | → | 21(11(11(11(14(41(12(24(45(54(42(x1))))))))))) | (858) |
There are no rules in the TRS. Hence, it is terminating.