The rewrite relation of the following TRS is considered.
0(0(0(0(1(2(2(0(3(0(0(1(2(0(0(2(2(2(x1)))))))))))))))))) |
→ |
0(0(0(0(2(1(2(0(0(1(3(2(2(0(0(0(2(2(x1)))))))))))))))))) |
(1) |
0(0(2(2(0(1(1(0(3(1(0(2(2(1(3(1(2(1(x1)))))))))))))))))) |
→ |
0(0(1(2(2(0(2(0(0(3(1(2(3(1(1(1(2(1(x1)))))))))))))))))) |
(2) |
0(0(3(1(2(0(0(2(0(2(1(3(1(1(3(1(0(0(x1)))))))))))))))))) |
→ |
0(1(3(0(2(3(2(0(2(0(1(1(0(1(3(1(0(0(x1)))))))))))))))))) |
(3) |
0(0(3(2(0(1(2(2(1(2(1(2(3(0(0(2(1(1(x1)))))))))))))))))) |
→ |
0(1(0(2(2(3(2(0(2(2(1(0(1(3(0(2(1(1(x1)))))))))))))))))) |
(4) |
0(0(3(2(1(0(1(2(1(2(1(0(3(2(1(0(0(0(x1)))))))))))))))))) |
→ |
1(2(0(0(0(0(0(1(0(2(3(2(3(1(1(0(1(2(x1)))))))))))))))))) |
(5) |
0(0(3(2(1(2(1(3(0(2(1(0(3(0(3(2(2(2(x1)))))))))))))))))) |
→ |
0(0(2(3(1(0(1(2(1(0(3(3(0(2(2(3(2(2(x1)))))))))))))))))) |
(6) |
0(0(3(2(3(1(0(3(3(0(0(3(0(3(0(3(1(1(x1)))))))))))))))))) |
→ |
0(0(0(3(3(1(3(3(1(2(3(3(1(0(0(0(3(0(x1)))))))))))))))))) |
(7) |
0(1(0(1(1(1(1(3(0(2(2(0(3(0(3(0(3(3(x1)))))))))))))))))) |
→ |
0(1(0(0(3(2(3(1(3(1(1(1(0(3(0(2(0(3(x1)))))))))))))))))) |
(8) |
0(1(2(2(2(1(1(0(0(0(0(1(0(0(1(1(1(0(x1)))))))))))))))))) |
→ |
0(1(1(1(2(0(1(0(0(2(0(1(0(1(1(2(0(0(x1)))))))))))))))))) |
(9) |
0(2(1(0(3(1(1(3(3(2(2(0(3(1(0(3(1(3(x1)))))))))))))))))) |
→ |
0(1(0(3(1(1(3(1(0(0(3(2(2(3(2(3(1(3(x1)))))))))))))))))) |
(10) |
0(2(1(1(2(0(3(1(2(2(2(0(3(2(2(2(2(2(x1)))))))))))))))))) |
→ |
0(2(2(1(0(2(2(2(0(2(1(2(2(3(2(3(1(2(x1)))))))))))))))))) |
(11) |
0(2(3(2(0(3(0(0(2(2(2(2(2(0(3(2(0(0(x1)))))))))))))))))) |
→ |
0(2(0(2(2(0(2(3(0(3(2(3(2(0(2(0(0(2(x1)))))))))))))))))) |
(12) |
0(3(0(1(2(2(2(0(2(1(1(3(1(1(2(2(0(0(x1)))))))))))))))))) |
→ |
0(0(2(3(1(2(2(0(1(0(1(2(3(2(2(0(1(1(x1)))))))))))))))))) |
(13) |
0(3(0(2(2(1(2(2(3(0(3(2(1(1(1(1(0(1(x1)))))))))))))))))) |
→ |
1(2(2(0(3(3(0(2(3(1(1(2(0(2(1(1(0(1(x1)))))))))))))))))) |
(14) |
0(3(0(3(3(3(0(0(2(1(2(0(2(1(3(0(3(1(x1)))))))))))))))))) |
→ |
1(3(2(3(0(0(2(0(0(0(2(3(3(1(3(3(1(0(x1)))))))))))))))))) |
(15) |
0(3(1(1(1(3(2(3(0(1(0(0(3(0(2(2(1(1(x1)))))))))))))))))) |
→ |
0(0(1(3(1(2(0(0(0(2(3(3(1(1(3(1(2(1(x1)))))))))))))))))) |
(16) |
0(3(2(0(1(0(2(3(0(3(0(3(3(1(1(1(1(1(x1)))))))))))))))))) |
→ |
1(3(0(0(2(0(1(1(1(3(1(0(0(3(3(2(3(1(x1)))))))))))))))))) |
(17) |
0(3(2(0(2(1(0(0(0(3(1(3(3(3(2(1(0(3(x1)))))))))))))))))) |
→ |
0(2(3(2(3(1(0(1(3(3(1(0(0(3(0(0(2(3(x1)))))))))))))))))) |
(18) |
0(3(2(0(2(2(3(3(1(2(1(2(2(1(1(2(1(0(x1)))))))))))))))))) |
→ |
1(3(1(2(2(3(2(2(1(2(3(2(1(0(2(0(1(0(x1)))))))))))))))))) |
(19) |
0(3(3(1(0(1(1(0(2(3(3(0(3(2(0(0(2(2(x1)))))))))))))))))) |
→ |
0(0(0(0(1(3(3(1(2(3(3(0(2(0(3(1(2(2(x1)))))))))))))))))) |
(20) |
0(3(3(1(1(3(1(0(1(0(2(1(1(0(3(3(0(3(x1)))))))))))))))))) |
→ |
1(1(0(0(3(3(3(1(3(1(0(2(3(1(1(0(0(3(x1)))))))))))))))))) |
(21) |
1(0(0(1(2(2(3(1(1(0(3(3(2(1(1(3(0(1(x1)))))))))))))))))) |
→ |
1(0(1(2(2(3(3(3(0(2(3(1(1(0(1(0(1(1(x1)))))))))))))))))) |
(22) |
1(0(1(0(2(1(2(2(0(3(3(1(2(3(0(2(2(2(x1)))))))))))))))))) |
→ |
1(3(2(1(0(2(2(0(2(3(1(2(0(2(3(1(0(2(x1)))))))))))))))))) |
(23) |
1(0(1(2(2(1(3(3(3(0(3(0(0(3(1(1(3(1(x1)))))))))))))))))) |
→ |
2(3(3(0(3(2(0(1(0(1(3(1(0(1(3(1(3(1(x1)))))))))))))))))) |
(24) |
1(0(3(0(3(2(0(0(2(3(0(3(3(3(1(2(1(3(x1)))))))))))))))))) |
→ |
0(0(1(0(3(3(2(3(2(3(0(3(1(3(1(0(2(3(x1)))))))))))))))))) |
(25) |
1(0(3(1(3(0(3(2(0(0(1(1(1(3(0(3(2(0(x1)))))))))))))))))) |
→ |
1(0(1(1(3(3(1(2(3(0(1(0(0(3(2(0(3(0(x1)))))))))))))))))) |
(26) |
1(0(3(2(0(3(2(0(3(1(1(2(1(0(1(1(3(1(x1)))))))))))))))))) |
→ |
1(1(1(3(3(2(0(3(0(1(2(0(1(0(1(3(2(1(x1)))))))))))))))))) |
(27) |
1(0(3(3(0(2(1(0(3(1(0(2(3(3(0(0(3(2(x1)))))))))))))))))) |
→ |
1(0(3(1(2(0(3(3(2(3(0(1(3(0(0(0(3(2(x1)))))))))))))))))) |
(28) |
1(1(0(3(3(3(1(2(3(2(1(0(3(2(0(3(3(2(x1)))))))))))))))))) |
→ |
2(2(3(2(3(3(1(0(3(0(1(3(3(1(0(1(3(2(x1)))))))))))))))))) |
(29) |
1(1(0(3(3(3(3(0(3(2(2(1(0(2(2(3(3(0(x1)))))))))))))))))) |
→ |
1(2(0(1(0(3(2(3(2(3(3(0(2(3(0(3(3(1(x1)))))))))))))))))) |
(30) |
1(1(1(1(3(2(1(2(2(3(3(2(2(0(2(1(0(0(x1)))))))))))))))))) |
→ |
1(3(1(1(2(0(2(1(0(2(0(1(3(2(2(2(3(1(x1)))))))))))))))))) |
(31) |
1(1(2(1(0(1(3(3(0(2(3(1(1(1(0(3(1(1(x1)))))))))))))))))) |
→ |
1(1(1(3(1(3(1(2(0(1(1(3(3(1(0(0(2(1(x1)))))))))))))))))) |
(32) |
1(1(2(3(2(0(3(1(1(2(2(2(1(0(2(3(0(1(x1)))))))))))))))))) |
→ |
1(2(0(3(2(2(3(1(0(1(0(2(1(3(1(2(2(1(x1)))))))))))))))))) |
(33) |
1(2(0(0(1(1(3(0(2(2(2(1(1(1(0(1(3(0(x1)))))))))))))))))) |
→ |
1(3(1(0(0(1(0(1(0(2(3(2(2(1(2(1(1(0(x1)))))))))))))))))) |
(34) |
1(2(2(1(0(0(3(3(1(2(1(3(2(1(1(2(1(1(x1)))))))))))))))))) |
→ |
1(1(1(1(2(1(0(2(3(1(1(2(3(2(2(3(0(1(x1)))))))))))))))))) |
(35) |
1(2(2(2(1(3(3(1(3(0(3(0(3(0(1(0(2(1(x1)))))))))))))))))) |
→ |
1(3(2(1(3(3(2(2(3(0(1(3(0(0(2(0(1(1(x1)))))))))))))))))) |
(36) |
1(3(0(2(1(1(3(3(3(0(3(2(0(3(1(1(3(0(x1)))))))))))))))))) |
→ |
1(0(1(3(1(3(3(3(2(2(3(0(3(1(0(1(3(0(x1)))))))))))))))))) |
(37) |
1(3(2(1(0(3(3(3(0(0(0(1(0(2(0(1(1(1(x1)))))))))))))))))) |
→ |
1(0(1(2(0(1(0(0(1(3(2(3(0(3(0(1(3(1(x1)))))))))))))))))) |
(38) |
1(3(3(3(2(2(3(0(3(0(2(1(2(2(3(3(3(2(x1)))))))))))))))))) |
→ |
1(1(0(3(3(2(3(3(2(2(2(3(0(3(3(2(3(2(x1)))))))))))))))))) |
(39) |
2(0(3(1(2(2(3(1(2(1(0(0(0(1(1(1(2(0(x1)))))))))))))))))) |
→ |
2(1(2(1(1(0(1(3(3(1(2(0(0(2(0(1(2(0(x1)))))))))))))))))) |
(40) |
2(1(0(3(2(0(3(1(2(3(2(2(1(3(0(3(3(0(x1)))))))))))))))))) |
→ |
1(0(2(3(0(2(3(1(3(1(0(2(3(3(3(2(2(0(x1)))))))))))))))))) |
(41) |
2(1(1(0(3(1(1(0(2(0(2(1(0(3(1(2(2(2(x1)))))))))))))))))) |
→ |
2(0(1(2(3(3(1(2(2(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))) |
(42) |
2(1(1(1(0(3(0(3(1(1(3(3(2(2(0(2(1(1(x1)))))))))))))))))) |
→ |
1(3(3(2(1(0(1(2(0(1(3(2(0(2(1(3(1(1(x1)))))))))))))))))) |
(43) |
2(1(3(2(3(1(1(1(3(3(0(1(1(3(2(2(1(2(x1)))))))))))))))))) |
→ |
2(1(1(1(2(3(1(2(0(1(3(2(1(3(2(3(3(1(x1)))))))))))))))))) |
(44) |
2(2(0(3(0(3(3(2(2(2(0(1(3(0(2(2(0(1(x1)))))))))))))))))) |
→ |
2(2(0(1(0(2(1(2(3(2(2(0(3(3(2(3(0(0(x1)))))))))))))))))) |
(45) |
2(2(1(1(1(2(2(2(0(3(3(0(2(3(0(0(3(2(x1)))))))))))))))))) |
→ |
3(2(2(1(0(1(2(0(2(1(2(0(0(3(2(3(3(2(x1)))))))))))))))))) |
(46) |
2(2(1(2(1(2(0(2(0(2(2(2(3(3(2(2(0(0(x1)))))))))))))))))) |
→ |
2(2(1(2(0(1(2(2(3(2(2(2(0(2(3(2(0(0(x1)))))))))))))))))) |
(47) |
2(2(2(1(2(3(2(0(0(1(1(3(3(0(2(0(2(0(x1)))))))))))))))))) |
→ |
2(3(1(1(2(0(1(3(0(2(0(2(3(0(2(2(2(0(x1)))))))))))))))))) |
(48) |
2(2(2(3(3(0(2(3(0(0(2(2(0(2(2(1(2(2(x1)))))))))))))))))) |
→ |
2(2(2(2(3(0(1(3(2(2(0(3(2(2(0(2(0(2(x1)))))))))))))))))) |
(49) |
2(2(3(3(1(3(2(2(3(2(1(1(3(3(0(3(3(3(x1)))))))))))))))))) |
→ |
2(3(3(2(0(3(2(3(2(1(1(2(3(3(1(3(3(3(x1)))))))))))))))))) |
(50) |
2(3(2(1(3(3(1(3(3(1(2(2(2(1(1(3(2(1(x1)))))))))))))))))) |
→ |
2(3(2(2(1(3(1(3(2(1(2(1(3(1(3(3(2(1(x1)))))))))))))))))) |
(51) |
3(0(0(3(3(0(0(3(2(2(1(0(1(0(1(2(2(2(x1)))))))))))))))))) |
→ |
3(2(1(2(3(3(1(0(3(2(2(0(0(0(1(0(0(2(x1)))))))))))))))))) |
(52) |
3(0(2(1(0(3(1(0(1(2(0(0(2(0(0(3(3(1(x1)))))))))))))))))) |
→ |
3(0(0(3(0(1(0(2(3(1(0(0(0(1(2(2(3(1(x1)))))))))))))))))) |
(53) |
3(0(2(2(2(3(0(0(1(1(3(3(0(3(2(1(0(0(x1)))))))))))))))))) |
→ |
3(3(0(1(0(1(3(1(0(2(0(3(2(2(3(2(0(0(x1)))))))))))))))))) |
(54) |
3(0(3(2(2(1(1(0(1(3(1(1(2(0(3(0(3(1(x1)))))))))))))))))) |
→ |
3(2(1(3(1(3(0(2(3(1(3(0(1(2(0(1(1(0(x1)))))))))))))))))) |
(55) |
3(0(3(3(0(2(1(1(3(2(2(1(3(3(2(2(2(1(x1)))))))))))))))))) |
→ |
0(1(1(3(2(3(2(3(3(2(3(2(3(1(1(2(0(2(x1)))))))))))))))))) |
(56) |
3(1(0(0(1(2(3(3(0(2(3(3(0(0(1(1(3(0(x1)))))))))))))))))) |
→ |
3(2(3(2(3(1(0(1(1(3(3(0(1(0(0(0(3(0(x1)))))))))))))))))) |
(57) |
3(1(1(0(3(0(3(0(1(0(0(2(2(1(3(2(3(0(x1)))))))))))))))))) |
→ |
3(2(1(2(3(0(1(0(2(3(3(0(3(1(0(0(1(0(x1)))))))))))))))))) |
(58) |
3(1(2(3(3(0(2(1(2(3(1(2(3(3(3(0(3(3(x1)))))))))))))))))) |
→ |
3(2(3(3(0(3(1(3(2(2(2(1(0(3(3(1(3(3(x1)))))))))))))))))) |
(59) |
3(1(2(3(3(3(3(0(3(0(3(3(1(2(2(2(0(2(x1)))))))))))))))))) |
→ |
3(0(3(3(2(1(3(3(3(3(2(3(0(2(0(1(2(2(x1)))))))))))))))))) |
(60) |
3(2(1(0(3(2(0(3(3(1(3(0(1(0(3(3(3(3(x1)))))))))))))))))) |
→ |
3(1(1(0(0(3(3(0(3(1(0(2(3(3(3(2(3(3(x1)))))))))))))))))) |
(61) |
3(2(1(0(3(3(2(0(3(3(2(2(1(2(2(1(3(0(x1)))))))))))))))))) |
→ |
3(2(1(2(2(3(2(3(2(0(1(0(3(0(1(3(3(2(x1)))))))))))))))))) |
(62) |
3(2(1(2(2(0(1(1(3(1(0(3(3(1(0(3(1(1(x1)))))))))))))))))) |
→ |
3(1(3(2(2(3(2(1(0(3(1(1(1(0(0(3(1(1(x1)))))))))))))))))) |
(63) |
3(2(2(0(2(1(0(3(1(3(2(0(3(2(0(3(2(0(x1)))))))))))))))))) |
→ |
3(0(0(0(1(2(2(3(1(2(3(3(2(3(2(0(2(0(x1)))))))))))))))))) |
(64) |
3(2(2(0(3(0(2(1(0(3(0(3(2(0(0(1(3(3(x1)))))))))))))))))) |
→ |
3(2(3(2(0(2(3(0(0(3(1(3(1(2(0(0(0(3(x1)))))))))))))))))) |
(65) |
3(2(2(3(0(0(2(3(3(1(1(2(2(3(3(3(3(3(x1)))))))))))))))))) |
→ |
3(2(3(2(3(2(2(2(3(3(1(0(3(3(1(3(0(3(x1)))))))))))))))))) |
(66) |
3(2(3(0(3(2(1(1(2(2(1(2(3(3(2(1(0(3(x1)))))))))))))))))) |
→ |
3(2(3(2(0(1(3(1(2(2(3(2(3(1(2(3(0(1(x1)))))))))))))))))) |
(67) |
3(3(0(0(2(2(2(2(1(0(0(0(3(3(1(2(2(1(x1)))))))))))))))))) |
→ |
3(2(2(0(0(0(3(2(3(2(0(0(3(1(2(1(2(1(x1)))))))))))))))))) |
(68) |
3(3(0(0(2(3(3(3(2(2(0(3(1(2(1(2(2(1(x1)))))))))))))))))) |
→ |
2(2(0(1(3(2(3(1(3(2(3(2(3(1(3(0(2(0(x1)))))))))))))))))) |
(69) |
3(3(0(2(2(1(2(1(0(3(3(2(1(1(2(2(2(1(x1)))))))))))))))))) |
→ |
3(2(2(2(3(2(1(1(0(2(3(1(1(3(2(1(2(0(x1)))))))))))))))))) |
(70) |
3(3(0(3(1(1(3(0(0(2(2(3(2(3(0(3(3(3(x1)))))))))))))))))) |
→ |
3(3(3(0(3(1(0(0(2(1(3(2(3(0(3(2(3(3(x1)))))))))))))))))) |
(71) |
3(3(1(3(0(3(0(3(0(3(0(2(0(1(0(2(2(1(x1)))))))))))))))))) |
→ |
3(3(2(3(2(1(1(3(2(3(3(0(0(0(0(1(0(0(x1)))))))))))))))))) |
(72) |
3(3(2(2(0(3(1(2(3(2(0(3(2(1(3(2(2(2(x1)))))))))))))))))) |
→ |
3(2(3(1(3(2(2(2(3(2(2(0(3(1(3(0(2(2(x1)))))))))))))))))) |
(73) |
3(3(2(2(1(1(3(0(0(2(1(1(2(0(3(1(1(3(x1)))))))))))))))))) |
→ |
3(1(3(1(3(1(2(0(0(3(1(0(2(1(2(2(1(3(x1)))))))))))))))))) |
(74) |
3(3(3(0(2(1(3(1(1(1(2(0(3(2(0(0(2(2(x1)))))))))))))))))) |
→ |
3(3(3(1(1(1(2(3(2(3(1(2(0(0(2(0(0(2(x1)))))))))))))))))) |
(75) |
3(3(3(0(3(0(0(3(0(3(3(1(0(3(0(3(1(3(x1)))))))))))))))))) |
→ |
3(3(3(0(0(0(0(1(3(0(3(3(1(3(3(3(0(3(x1)))))))))))))))))) |
(76) |
3(3(3(0(3(3(0(2(2(1(3(1(0(2(1(2(2(1(x1)))))))))))))))))) |
→ |
3(2(3(1(3(1(3(2(0(2(1(0(2(0(3(2(3(1(x1)))))))))))))))))) |
(77) |
3(3(3(1(3(3(2(1(3(0(2(1(1(3(2(3(0(1(x1)))))))))))))))))) |
→ |
3(0(3(3(1(2(3(1(3(3(2(3(1(3(1(2(0(1(x1)))))))))))))))))) |
(78) |
3(3(3(2(0(3(0(0(3(3(2(0(2(2(2(0(1(0(x1)))))))))))))))))) |
→ |
3(0(3(2(3(2(3(2(3(0(0(1(2(3(2(0(0(0(x1)))))))))))))))))) |
(79) |
3(3(3(2(1(1(3(1(2(2(3(3(3(3(1(2(3(1(x1)))))))))))))))))) |
→ |
3(3(1(3(1(1(3(2(3(2(3(3(2(3(3(1(1(2(x1)))))))))))))))))) |
(80) |
There are 122 ruless (increase limit for explicit display).
Root-labeling is applied.
We obtain the labeled TRS
There are 488 ruless (increase limit for explicit display).
There are 394 ruless (increase limit for explicit display).
00(02(22(20(01(11(10(03(31(10(02(22(21(13(31(12(21(10(x1)))))))))))))))))) |
→ |
00(01(12(22(20(02(20(00(03(31(12(23(31(11(11(12(21(10(x1)))))))))))))))))) |
(141) |
00(02(22(20(01(11(10(03(31(10(02(22(21(13(31(12(21(11(x1)))))))))))))))))) |
→ |
00(01(12(22(20(02(20(00(03(31(12(23(31(11(11(12(21(11(x1)))))))))))))))))) |
(142) |
00(02(22(20(01(11(10(03(31(10(02(22(21(13(31(12(21(12(x1)))))))))))))))))) |
→ |
00(01(12(22(20(02(20(00(03(31(12(23(31(11(11(12(21(12(x1)))))))))))))))))) |
(143) |
00(02(22(20(01(11(10(03(31(10(02(22(21(13(31(12(21(13(x1)))))))))))))))))) |
→ |
00(01(12(22(20(02(20(00(03(31(12(23(31(11(11(12(21(13(x1)))))))))))))))))) |
(144) |
00(03(32(23(31(10(03(33(30(00(03(30(03(30(03(31(11(13(x1)))))))))))))))))) |
→ |
00(00(03(33(31(13(33(31(12(23(33(31(10(00(00(03(30(03(x1)))))))))))))))))) |
(160) |
01(12(22(22(21(11(10(00(00(00(01(10(00(01(11(11(10(00(x1)))))))))))))))))) |
→ |
01(11(11(12(20(01(10(00(02(20(01(10(01(11(12(20(00(00(x1)))))))))))))))))) |
(165) |
01(12(22(22(21(11(10(00(00(00(01(10(00(01(11(11(10(01(x1)))))))))))))))))) |
→ |
01(11(11(12(20(01(10(00(02(20(01(10(01(11(12(20(00(01(x1)))))))))))))))))) |
(166) |
01(12(22(22(21(11(10(00(00(00(01(10(00(01(11(11(10(02(x1)))))))))))))))))) |
→ |
01(11(11(12(20(01(10(00(02(20(01(10(01(11(12(20(00(02(x1)))))))))))))))))) |
(167) |
01(12(22(22(21(11(10(00(00(00(01(10(00(01(11(11(10(03(x1)))))))))))))))))) |
→ |
01(11(11(12(20(01(10(00(02(20(01(10(01(11(12(20(00(03(x1)))))))))))))))))) |
(168) |
10(00(01(12(22(23(31(11(10(03(33(32(21(11(13(30(01(10(x1)))))))))))))))))) |
→ |
10(01(12(22(23(33(33(30(02(23(31(11(10(01(10(01(11(10(x1)))))))))))))))))) |
(197) |
10(00(01(12(22(23(31(11(10(03(33(32(21(11(13(30(01(11(x1)))))))))))))))))) |
→ |
10(01(12(22(23(33(33(30(02(23(31(11(10(01(10(01(11(11(x1)))))))))))))))))) |
(198) |
10(00(01(12(22(23(31(11(10(03(33(32(21(11(13(30(01(12(x1)))))))))))))))))) |
→ |
10(01(12(22(23(33(33(30(02(23(31(11(10(01(10(01(11(12(x1)))))))))))))))))) |
(199) |
10(00(01(12(22(23(31(11(10(03(33(32(21(11(13(30(01(13(x1)))))))))))))))))) |
→ |
10(01(12(22(23(33(33(30(02(23(31(11(10(01(10(01(11(13(x1)))))))))))))))))) |
(200) |
10(03(31(13(30(03(32(20(00(01(11(11(13(30(03(32(20(00(x1)))))))))))))))))) |
→ |
10(01(11(13(33(31(12(23(30(01(10(00(03(32(20(03(30(00(x1)))))))))))))))))) |
(205) |
10(03(31(13(30(03(32(20(00(01(11(11(13(30(03(32(20(01(x1)))))))))))))))))) |
→ |
10(01(11(13(33(31(12(23(30(01(10(00(03(32(20(03(30(01(x1)))))))))))))))))) |
(206) |
10(03(31(13(30(03(32(20(00(01(11(11(13(30(03(32(20(02(x1)))))))))))))))))) |
→ |
10(01(11(13(33(31(12(23(30(01(10(00(03(32(20(03(30(02(x1)))))))))))))))))) |
(207) |
10(03(31(13(30(03(32(20(00(01(11(11(13(30(03(32(20(03(x1)))))))))))))))))) |
→ |
10(01(11(13(33(31(12(23(30(01(10(00(03(32(20(03(30(03(x1)))))))))))))))))) |
(208) |
11(12(23(32(20(03(31(11(12(22(22(21(10(02(23(30(01(10(x1)))))))))))))))))) |
→ |
12(20(03(32(22(23(31(10(01(10(02(21(13(31(12(22(21(10(x1)))))))))))))))))) |
(229) |
11(12(23(32(20(03(31(11(12(22(22(21(10(02(23(30(01(11(x1)))))))))))))))))) |
→ |
12(20(03(32(22(23(31(10(01(10(02(21(13(31(12(22(21(11(x1)))))))))))))))))) |
(230) |
11(12(23(32(20(03(31(11(12(22(22(21(10(02(23(30(01(12(x1)))))))))))))))))) |
→ |
12(20(03(32(22(23(31(10(01(10(02(21(13(31(12(22(21(12(x1)))))))))))))))))) |
(231) |
11(12(23(32(20(03(31(11(12(22(22(21(10(02(23(30(01(13(x1)))))))))))))))))) |
→ |
12(20(03(32(22(23(31(10(01(10(02(21(13(31(12(22(21(13(x1)))))))))))))))))) |
(232) |
12(20(00(01(11(13(30(02(22(22(21(11(11(10(01(13(30(00(x1)))))))))))))))))) |
→ |
13(31(10(00(01(10(01(10(02(23(32(22(21(12(21(11(10(00(x1)))))))))))))))))) |
(233) |
12(20(00(01(11(13(30(02(22(22(21(11(11(10(01(13(30(01(x1)))))))))))))))))) |
→ |
13(31(10(00(01(10(01(10(02(23(32(22(21(12(21(11(10(01(x1)))))))))))))))))) |
(234) |
12(20(00(01(11(13(30(02(22(22(21(11(11(10(01(13(30(02(x1)))))))))))))))))) |
→ |
13(31(10(00(01(10(01(10(02(23(32(22(21(12(21(11(10(02(x1)))))))))))))))))) |
(235) |
12(20(00(01(11(13(30(02(22(22(21(11(11(10(01(13(30(03(x1)))))))))))))))))) |
→ |
13(31(10(00(01(10(01(10(02(23(32(22(21(12(21(11(10(03(x1)))))))))))))))))) |
(236) |
13(33(33(32(22(23(30(03(30(02(21(12(22(23(33(33(32(20(x1)))))))))))))))))) |
→ |
11(10(03(33(32(23(33(32(22(22(23(30(03(33(32(23(32(20(x1)))))))))))))))))) |
(253) |
13(33(33(32(22(23(30(03(30(02(21(12(22(23(33(33(32(21(x1)))))))))))))))))) |
→ |
11(10(03(33(32(23(33(32(22(22(23(30(03(33(32(23(32(21(x1)))))))))))))))))) |
(254) |
13(33(33(32(22(23(30(03(30(02(21(12(22(23(33(33(32(22(x1)))))))))))))))))) |
→ |
11(10(03(33(32(23(33(32(22(22(23(30(03(33(32(23(32(22(x1)))))))))))))))))) |
(255) |
13(33(33(32(22(23(30(03(30(02(21(12(22(23(33(33(32(23(x1)))))))))))))))))) |
→ |
11(10(03(33(32(23(33(32(22(22(23(30(03(33(32(23(32(23(x1)))))))))))))))))) |
(256) |
20(03(31(12(22(23(31(12(21(10(00(00(01(11(11(12(20(00(x1)))))))))))))))))) |
→ |
21(12(21(11(10(01(13(33(31(12(20(00(02(20(01(12(20(00(x1)))))))))))))))))) |
(257) |
20(03(31(12(22(23(31(12(21(10(00(00(01(11(11(12(20(01(x1)))))))))))))))))) |
→ |
21(12(21(11(10(01(13(33(31(12(20(00(02(20(01(12(20(01(x1)))))))))))))))))) |
(258) |
20(03(31(12(22(23(31(12(21(10(00(00(01(11(11(12(20(02(x1)))))))))))))))))) |
→ |
21(12(21(11(10(01(13(33(31(12(20(00(02(20(01(12(20(02(x1)))))))))))))))))) |
(259) |
20(03(31(12(22(23(31(12(21(10(00(00(01(11(11(12(20(03(x1)))))))))))))))))) |
→ |
21(12(21(11(10(01(13(33(31(12(20(00(02(20(01(12(20(03(x1)))))))))))))))))) |
(260) |
21(13(32(23(31(11(11(13(33(30(01(11(13(32(22(21(12(20(x1)))))))))))))))))) |
→ |
21(11(11(12(23(31(12(20(01(13(32(21(13(32(23(33(31(10(x1)))))))))))))))))) |
(265) |
21(13(32(23(31(11(11(13(33(30(01(11(13(32(22(21(12(21(x1)))))))))))))))))) |
→ |
21(11(11(12(23(31(12(20(01(13(32(21(13(32(23(33(31(11(x1)))))))))))))))))) |
(266) |
21(13(32(23(31(11(11(13(33(30(01(11(13(32(22(21(12(23(x1)))))))))))))))))) |
→ |
21(11(11(12(23(31(12(20(01(13(32(21(13(32(23(33(31(13(x1)))))))))))))))))) |
(268) |
22(20(03(30(03(33(32(22(22(20(01(13(30(02(22(20(01(13(x1)))))))))))))))))) |
→ |
22(20(01(10(02(21(12(23(32(22(20(03(33(32(23(30(00(03(x1)))))))))))))))))) |
(272) |
22(22(23(33(30(02(23(30(00(02(22(20(02(22(21(12(22(20(x1)))))))))))))))))) |
→ |
22(22(22(23(30(01(13(32(22(20(03(32(22(20(02(20(02(20(x1)))))))))))))))))) |
(281) |
22(22(23(33(30(02(23(30(00(02(22(20(02(22(21(12(22(21(x1)))))))))))))))))) |
→ |
22(22(22(23(30(01(13(32(22(20(03(32(22(20(02(20(02(21(x1)))))))))))))))))) |
(282) |
22(22(23(33(30(02(23(30(00(02(22(20(02(22(21(12(22(22(x1)))))))))))))))))) |
→ |
22(22(22(23(30(01(13(32(22(20(03(32(22(20(02(20(02(22(x1)))))))))))))))))) |
(283) |
22(22(23(33(30(02(23(30(00(02(22(20(02(22(21(12(22(23(x1)))))))))))))))))) |
→ |
22(22(22(23(30(01(13(32(22(20(03(32(22(20(02(20(02(23(x1)))))))))))))))))) |
(284) |
22(23(33(31(13(32(22(23(32(21(11(13(33(30(03(33(33(30(x1)))))))))))))))))) |
→ |
23(33(32(20(03(32(23(32(21(11(12(23(33(31(13(33(33(30(x1)))))))))))))))))) |
(285) |
22(23(33(31(13(32(22(23(32(21(11(13(33(30(03(33(33(31(x1)))))))))))))))))) |
→ |
23(33(32(20(03(32(23(32(21(11(12(23(33(31(13(33(33(31(x1)))))))))))))))))) |
(286) |
22(23(33(31(13(32(22(23(32(21(11(13(33(30(03(33(33(32(x1)))))))))))))))))) |
→ |
23(33(32(20(03(32(23(32(21(11(12(23(33(31(13(33(33(32(x1)))))))))))))))))) |
(287) |
22(23(33(31(13(32(22(23(32(21(11(13(33(30(03(33(33(33(x1)))))))))))))))))) |
→ |
23(33(32(20(03(32(23(32(21(11(12(23(33(31(13(33(33(33(x1)))))))))))))))))) |
(288) |
30(02(22(22(23(30(00(01(11(13(33(30(03(32(21(10(00(00(x1)))))))))))))))))) |
→ |
33(30(01(10(01(13(31(10(02(20(03(32(22(23(32(20(00(00(x1)))))))))))))))))) |
(301) |
30(02(22(22(23(30(00(01(11(13(33(30(03(32(21(10(00(01(x1)))))))))))))))))) |
→ |
33(30(01(10(01(13(31(10(02(20(03(32(22(23(32(20(00(01(x1)))))))))))))))))) |
(302) |
30(02(22(22(23(30(00(01(11(13(33(30(03(32(21(10(00(02(x1)))))))))))))))))) |
→ |
33(30(01(10(01(13(31(10(02(20(03(32(22(23(32(20(00(02(x1)))))))))))))))))) |
(303) |
30(02(22(22(23(30(00(01(11(13(33(30(03(32(21(10(00(03(x1)))))))))))))))))) |
→ |
33(30(01(10(01(13(31(10(02(20(03(32(22(23(32(20(00(03(x1)))))))))))))))))) |
(304) |
31(10(00(01(12(23(33(30(02(23(33(30(00(01(11(13(30(00(x1)))))))))))))))))) |
→ |
32(23(32(23(31(10(01(11(13(33(30(01(10(00(00(03(30(00(x1)))))))))))))))))) |
(309) |
31(10(00(01(12(23(33(30(02(23(33(30(00(01(11(13(30(01(x1)))))))))))))))))) |
→ |
32(23(32(23(31(10(01(11(13(33(30(01(10(00(00(03(30(01(x1)))))))))))))))))) |
(310) |
31(10(00(01(12(23(33(30(02(23(33(30(00(01(11(13(30(02(x1)))))))))))))))))) |
→ |
32(23(32(23(31(10(01(11(13(33(30(01(10(00(00(03(30(02(x1)))))))))))))))))) |
(311) |
31(10(00(01(12(23(33(30(02(23(33(30(00(01(11(13(30(03(x1)))))))))))))))))) |
→ |
32(23(32(23(31(10(01(11(13(33(30(01(10(00(00(03(30(03(x1)))))))))))))))))) |
(312) |
31(11(10(03(30(03(30(01(10(00(02(22(21(13(32(23(30(00(x1)))))))))))))))))) |
→ |
32(21(12(23(30(01(10(02(23(33(30(03(31(10(00(01(10(00(x1)))))))))))))))))) |
(313) |
31(11(10(03(30(03(30(01(10(00(02(22(21(13(32(23(30(01(x1)))))))))))))))))) |
→ |
32(21(12(23(30(01(10(02(23(33(30(03(31(10(00(01(10(01(x1)))))))))))))))))) |
(314) |
31(11(10(03(30(03(30(01(10(00(02(22(21(13(32(23(30(02(x1)))))))))))))))))) |
→ |
32(21(12(23(30(01(10(02(23(33(30(03(31(10(00(01(10(02(x1)))))))))))))))))) |
(315) |
31(11(10(03(30(03(30(01(10(00(02(22(21(13(32(23(30(03(x1)))))))))))))))))) |
→ |
32(21(12(23(30(01(10(02(23(33(30(03(31(10(00(01(10(03(x1)))))))))))))))))) |
(316) |
31(12(23(33(30(02(21(12(23(31(12(23(33(33(30(03(33(30(x1)))))))))))))))))) |
→ |
32(23(33(30(03(31(13(32(22(22(21(10(03(33(31(13(33(30(x1)))))))))))))))))) |
(317) |
31(12(23(33(30(02(21(12(23(31(12(23(33(33(30(03(33(31(x1)))))))))))))))))) |
→ |
32(23(33(30(03(31(13(32(22(22(21(10(03(33(31(13(33(31(x1)))))))))))))))))) |
(318) |
31(12(23(33(30(02(21(12(23(31(12(23(33(33(30(03(33(32(x1)))))))))))))))))) |
→ |
32(23(33(30(03(31(13(32(22(22(21(10(03(33(31(13(33(32(x1)))))))))))))))))) |
(319) |
31(12(23(33(30(02(21(12(23(31(12(23(33(33(30(03(33(33(x1)))))))))))))))))) |
→ |
32(23(33(30(03(31(13(32(22(22(21(10(03(33(31(13(33(33(x1)))))))))))))))))) |
(320) |
33(30(03(31(11(13(30(00(02(22(23(32(23(30(03(33(33(30(x1)))))))))))))))))) |
→ |
33(33(30(03(31(10(00(02(21(13(32(23(30(03(32(23(33(30(x1)))))))))))))))))) |
(361) |
33(30(03(31(11(13(30(00(02(22(23(32(23(30(03(33(33(31(x1)))))))))))))))))) |
→ |
33(33(30(03(31(10(00(02(21(13(32(23(30(03(32(23(33(31(x1)))))))))))))))))) |
(362) |
33(30(03(31(11(13(30(00(02(22(23(32(23(30(03(33(33(32(x1)))))))))))))))))) |
→ |
33(33(30(03(31(10(00(02(21(13(32(23(30(03(32(23(33(32(x1)))))))))))))))))) |
(363) |
33(30(03(31(11(13(30(00(02(22(23(32(23(30(03(33(33(33(x1)))))))))))))))))) |
→ |
33(33(30(03(31(10(00(02(21(13(32(23(30(03(32(23(33(33(x1)))))))))))))))))) |
(364) |
00(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(10(x1))))))))))))))))))) |
→ |
01(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(10(x1))))))))))))))))))) |
(417) |
00(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(11(x1))))))))))))))))))) |
→ |
01(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(11(x1))))))))))))))))))) |
(418) |
00(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(12(x1))))))))))))))))))) |
→ |
01(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(12(x1))))))))))))))))))) |
(419) |
00(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(13(x1))))))))))))))))))) |
→ |
01(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(13(x1))))))))))))))))))) |
(420) |
10(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(10(x1))))))))))))))))))) |
→ |
11(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(10(x1))))))))))))))))))) |
(421) |
10(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(11(x1))))))))))))))))))) |
→ |
11(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(11(x1))))))))))))))))))) |
(422) |
10(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(12(x1))))))))))))))))))) |
→ |
11(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(12(x1))))))))))))))))))) |
(423) |
10(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(13(x1))))))))))))))))))) |
→ |
11(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(13(x1))))))))))))))))))) |
(424) |
20(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(10(x1))))))))))))))))))) |
→ |
21(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(10(x1))))))))))))))))))) |
(425) |
20(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(11(x1))))))))))))))))))) |
→ |
21(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(11(x1))))))))))))))))))) |
(426) |
20(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(12(x1))))))))))))))))))) |
→ |
21(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(12(x1))))))))))))))))))) |
(427) |
20(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(13(x1))))))))))))))))))) |
→ |
21(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(13(x1))))))))))))))))))) |
(428) |
30(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(10(x1))))))))))))))))))) |
→ |
31(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(10(x1))))))))))))))))))) |
(429) |
30(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(11(x1))))))))))))))))))) |
→ |
31(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(11(x1))))))))))))))))))) |
(430) |
30(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(12(x1))))))))))))))))))) |
→ |
31(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(12(x1))))))))))))))))))) |
(431) |
30(03(30(02(22(21(12(22(23(30(03(32(21(11(11(11(10(01(13(x1))))))))))))))))))) |
→ |
31(12(22(20(03(33(30(02(23(31(11(12(20(02(21(11(10(01(13(x1))))))))))))))))))) |
(432) |
32(22(21(11(11(12(22(22(20(03(33(30(02(23(30(00(03(32(20(x1))))))))))))))))))) |
→ |
33(32(22(21(10(01(12(20(02(21(12(20(00(03(32(23(33(32(20(x1))))))))))))))))))) |
(589) |
32(22(21(11(11(12(22(22(20(03(33(30(02(23(30(00(03(32(21(x1))))))))))))))))))) |
→ |
33(32(22(21(10(01(12(20(02(21(12(20(00(03(32(23(33(32(21(x1))))))))))))))))))) |
(590) |
32(22(21(11(11(12(22(22(20(03(33(30(02(23(30(00(03(32(22(x1))))))))))))))))))) |
→ |
33(32(22(21(10(01(12(20(02(21(12(20(00(03(32(23(33(32(22(x1))))))))))))))))))) |
(591) |
32(22(21(11(11(12(22(22(20(03(33(30(02(23(30(00(03(32(23(x1))))))))))))))))))) |
→ |
33(32(22(21(10(01(12(20(02(21(12(20(00(03(32(23(33(32(23(x1))))))))))))))))))) |
(592) |
There are no rules in the TRS. Hence, it is terminating.