The rewrite relation of the following TRS is considered.
0(0(0(0(1(2(1(2(2(1(1(2(0(x1))))))))))))) |
→ |
0(0(0(0(1(2(2(2(2(2(2(2(2(2(1(2(0(x1))))))))))))))))) |
(1) |
0(0(0(2(1(0(2(1(1(2(0(2(1(x1))))))))))))) |
→ |
0(0(0(1(0(1(2(2(2(2(2(2(2(2(1(2(2(x1))))))))))))))))) |
(2) |
0(0(0(2(2(1(0(2(2(0(1(1(0(x1))))))))))))) |
→ |
0(1(2(0(0(0(0(0(0(0(0(0(0(0(2(1(1(x1))))))))))))))))) |
(3) |
0(0(1(0(1(0(0(2(0(2(1(0(1(x1))))))))))))) |
→ |
0(0(0(0(0(1(2(1(0(0(0(0(1(2(2(2(0(x1))))))))))))))))) |
(4) |
0(0(1(1(1(0(2(1(2(0(2(1(2(x1))))))))))))) |
→ |
0(0(0(1(0(0(0(0(0(1(2(2(0(2(1(2(1(x1))))))))))))))))) |
(5) |
0(0(2(0(1(1(0(2(1(1(0(2(2(x1))))))))))))) |
→ |
0(0(0(2(0(2(2(2(2(2(2(1(0(2(2(0(2(x1))))))))))))))))) |
(6) |
0(0(2(1(1(2(1(0(2(2(1(0(0(x1))))))))))))) |
→ |
1(0(0(0(0(0(1(2(2(2(0(2(2(2(2(2(0(x1))))))))))))))))) |
(7) |
0(0(2(2(0(0(2(2(1(0(2(0(0(x1))))))))))))) |
→ |
2(0(1(0(0(0(0(0(0(0(0(0(1(2(2(0(0(x1))))))))))))))))) |
(8) |
0(1(0(0(1(1(1(1(2(1(0(1(1(x1))))))))))))) |
→ |
0(1(0(1(1(0(0(0(2(2(0(2(2(2(2(0(0(x1))))))))))))))))) |
(9) |
0(1(0(1(0(1(1(1(1(0(0(1(2(x1))))))))))))) |
→ |
0(0(2(2(2(2(2(0(2(1(0(0(0(1(2(2(2(x1))))))))))))))))) |
(10) |
0(1(0(1(1(0(2(0(2(2(1(0(2(x1))))))))))))) |
→ |
0(2(2(0(2(2(2(2(0(2(2(2(2(0(2(2(2(x1))))))))))))))))) |
(11) |
0(1(0(1(1(1(2(2(2(1(1(0(2(x1))))))))))))) |
→ |
0(0(1(0(0(0(0(2(1(0(0(0(0(0(0(1(0(x1))))))))))))))))) |
(12) |
0(1(1(0(1(2(2(0(1(1(0(1(0(x1))))))))))))) |
→ |
0(0(0(0(0(0(1(2(2(1(0(0(0(1(2(0(0(x1))))))))))))))))) |
(13) |
0(1(1(0(2(1(0(0(1(2(1(1(2(x1))))))))))))) |
→ |
1(0(0(1(0(1(2(0(2(2(2(2(2(2(2(2(2(x1))))))))))))))))) |
(14) |
0(1(1(2(2(2(1(1(2(2(2(2(1(x1))))))))))))) |
→ |
1(2(2(2(2(0(2(2(2(0(2(2(2(2(2(0(2(x1))))))))))))))))) |
(15) |
0(1(2(0(0(1(0(0(1(2(1(2(1(x1))))))))))))) |
→ |
0(0(1(2(0(2(2(2(2(2(2(2(0(1(0(0(2(x1))))))))))))))))) |
(16) |
0(1(2(0(1(2(2(2(1(1(2(0(2(x1))))))))))))) |
→ |
0(0(0(0(0(0(0(0(0(1(2(0(2(0(0(2(2(x1))))))))))))))))) |
(17) |
0(1(2(2(0(2(0(2(1(0(1(1(1(x1))))))))))))) |
→ |
0(0(1(2(2(0(2(0(0(0(0(0(0(0(0(0(1(x1))))))))))))))))) |
(18) |
0(2(0(1(0(2(2(1(0(0(2(2(0(x1))))))))))))) |
→ |
0(0(0(0(1(2(0(0(0(0(0(0(0(0(1(2(0(x1))))))))))))))))) |
(19) |
0(2(0(1(1(0(2(2(1(0(2(2(0(x1))))))))))))) |
→ |
2(0(0(0(2(2(2(2(2(2(2(2(1(0(0(0(1(x1))))))))))))))))) |
(20) |
0(2(0(1(1(1(2(1(0(2(0(1(1(x1))))))))))))) |
→ |
0(2(0(2(2(2(0(1(0(0(1(0(0(0(0(1(0(x1))))))))))))))))) |
(21) |
0(2(1(0(1(2(0(1(0(0(0(1(1(x1))))))))))))) |
→ |
2(1(2(2(2(2(2(2(2(2(0(2(2(0(2(1(0(x1))))))))))))))))) |
(22) |
0(2(1(0(2(1(2(2(2(1(0(0(2(x1))))))))))))) |
→ |
0(0(0(0(0(0(0(0(0(0(0(1(0(2(0(1(2(x1))))))))))))))))) |
(23) |
0(2(1(2(1(2(2(0(2(0(1(1(0(x1))))))))))))) |
→ |
2(0(1(0(0(0(1(2(0(0(0(0(0(0(0(2(0(x1))))))))))))))))) |
(24) |
1(0(0(0(1(1(1(1(0(1(0(0(1(x1))))))))))))) |
→ |
2(2(0(1(0(0(0(0(0(0(0(0(0(0(1(2(0(x1))))))))))))))))) |
(25) |
1(0(0(1(0(2(1(2(1(0(1(2(0(x1))))))))))))) |
→ |
0(0(2(0(0(0(0(0(1(0(0(0(0(0(2(2(0(x1))))))))))))))))) |
(26) |
1(0(0(2(0(0(2(2(1(2(1(1(1(x1))))))))))))) |
→ |
0(1(0(2(1(0(0(0(0(0(0(1(2(0(2(0(0(x1))))))))))))))))) |
(27) |
1(0(0(2(0(1(2(2(1(0(0(1(2(x1))))))))))))) |
→ |
0(0(0(0(0(0(0(0(0(0(0(0(0(2(0(0(2(x1))))))))))))))))) |
(28) |
1(0(0(2(1(1(0(1(2(0(0(2(1(x1))))))))))))) |
→ |
1(0(0(2(0(0(0(1(2(2(2(0(2(2(2(0(1(x1))))))))))))))))) |
(29) |
1(0(0(2(2(0(0(1(1(0(2(1(1(x1))))))))))))) |
→ |
1(2(0(2(2(2(2(2(2(0(2(2(0(2(0(0(1(x1))))))))))))))))) |
(30) |
1(0(1(2(1(2(0(2(0(1(2(1(0(x1))))))))))))) |
→ |
2(0(0(1(0(0(0(0(0(1(2(2(2(2(1(2(0(x1))))))))))))))))) |
(31) |
1(0(2(0(1(1(1(0(0(0(1(0(1(x1))))))))))))) |
→ |
1(0(0(0(0(1(0(0(0(0(0(1(2(2(1(2(0(x1))))))))))))))))) |
(32) |
1(0(2(0(2(0(1(0(1(1(1(1(1(x1))))))))))))) |
→ |
1(1(0(2(2(2(2(2(2(0(2(0(2(1(0(0(1(x1))))))))))))))))) |
(33) |
1(0(2(1(1(0(0(2(1(0(2(0(1(x1))))))))))))) |
→ |
0(1(0(0(0(0(0(0(0(0(1(1(2(2(1(1(1(x1))))))))))))))))) |
(34) |
1(0(2(1(2(1(0(1(0(0(2(1(0(x1))))))))))))) |
→ |
2(1(0(0(0(0(0(1(2(2(2(1(0(0(2(0(0(x1))))))))))))))))) |
(35) |
1(0(2(1(2(1(1(1(0(2(0(1(2(x1))))))))))))) |
→ |
1(1(0(0(0(0(1(0(0(0(0(2(0(0(2(0(2(x1))))))))))))))))) |
(36) |
1(0(2(1(2(2(0(0(0(1(2(2(0(x1))))))))))))) |
→ |
0(0(2(2(2(2(2(2(2(2(2(2(2(0(1(0(2(x1))))))))))))))))) |
(37) |
1(1(0(0(1(0(1(1(2(1(0(1(2(x1))))))))))))) |
→ |
1(0(0(0(0(0(0(1(2(2(0(0(1(0(2(0(2(x1))))))))))))))))) |
(38) |
1(1(0(1(1(0(2(2(1(0(2(0(0(x1))))))))))))) |
→ |
0(1(0(0(0(0(1(2(2(2(2(1(2(0(0(0(1(x1))))))))))))))))) |
(39) |
1(1(0(2(0(1(0(2(1(0(2(1(2(x1))))))))))))) |
→ |
1(2(2(2(2(2(2(1(1(2(2(2(2(2(2(1(2(x1))))))))))))))))) |
(40) |
1(1(0(2(0(1(1(0(0(2(2(1(2(x1))))))))))))) |
→ |
0(2(1(0(0(0(0(0(1(2(2(0(0(0(0(0(2(x1))))))))))))))))) |
(41) |
1(1(1(0(0(0(1(1(0(1(1(0(2(x1))))))))))))) |
→ |
0(0(0(2(2(2(2(2(0(2(2(0(2(2(2(1(2(x1))))))))))))))))) |
(42) |
1(1(1(0(0(2(0(2(1(0(2(0(2(x1))))))))))))) |
→ |
1(0(2(0(1(2(2(2(2(0(2(2(0(2(2(2(2(x1))))))))))))))))) |
(43) |
1(1(1(2(2(2(2(1(0(0(2(1(2(x1))))))))))))) |
→ |
0(0(0(0(0(0(1(0(0(0(0(1(2(2(1(1(2(x1))))))))))))))))) |
(44) |
1(1(2(0(2(0(2(0(1(0(0(2(0(x1))))))))))))) |
→ |
2(0(1(0(0(0(0(1(2(2(2(0(2(2(2(2(1(x1))))))))))))))))) |
(45) |
1(1(2(1(0(0(0(1(0(2(0(2(2(x1))))))))))))) |
→ |
1(0(2(1(0(0(0(0(0(0(0(1(2(2(2(2(2(x1))))))))))))))))) |
(46) |
1(1(2(2(0(0(2(0(1(1(1(1(0(x1))))))))))))) |
→ |
2(0(0(0(0(1(2(1(0(1(2(2(2(2(1(0(0(x1))))))))))))))))) |
(47) |
1(2(0(0(1(1(2(2(1(2(2(0(0(x1))))))))))))) |
→ |
1(0(2(0(2(0(0(0(0(0(0(0(0(0(1(2(2(x1))))))))))))))))) |
(48) |
1(2(0(0(2(1(0(2(2(2(0(0(1(x1))))))))))))) |
→ |
0(0(0(0(0(1(2(2(2(0(2(0(2(2(1(0(1(x1))))))))))))))))) |
(49) |
1(2(0(1(0(0(1(1(1(1(0(1(1(x1))))))))))))) |
→ |
0(0(0(0(2(0(1(0(0(0(0(0(1(2(1(1(0(x1))))))))))))))))) |
(50) |
1(2(0(1(2(1(2(2(1(0(1(0(0(x1))))))))))))) |
→ |
1(0(0(0(1(2(0(2(2(2(2(2(1(0(1(0(0(x1))))))))))))))))) |
(51) |
1(2(1(1(2(0(0(2(2(1(0(0(1(x1))))))))))))) |
→ |
1(1(0(0(0(0(0(0(1(0(0(1(2(2(2(2(0(x1))))))))))))))))) |
(52) |
1(2(2(0(0(1(2(0(2(1(0(0(1(x1))))))))))))) |
→ |
0(1(0(2(2(2(2(2(0(2(2(2(2(2(2(2(2(x1))))))))))))))))) |
(53) |
1(2(2(0(1(2(2(2(0(1(2(1(1(x1))))))))))))) |
→ |
0(0(0(2(2(2(2(2(0(2(2(1(2(0(0(0(1(x1))))))))))))))))) |
(54) |
2(0(0(0(0(1(1(2(0(0(1(0(2(x1))))))))))))) |
→ |
0(1(0(0(0(1(2(2(2(2(0(2(0(2(2(2(2(x1))))))))))))))))) |
(55) |
2(0(0(2(1(2(1(0(1(0(1(1(1(x1))))))))))))) |
→ |
1(0(0(0(0(0(0(0(1(1(2(2(2(0(2(0(0(x1))))))))))))))))) |
(56) |
2(0(1(0(1(0(0(0(2(0(1(2(1(x1))))))))))))) |
→ |
2(0(1(0(0(1(0(0(1(0(0(0(0(0(0(0(0(x1))))))))))))))))) |
(57) |
2(0(2(0(1(1(0(0(2(1(1(0(2(x1))))))))))))) |
→ |
2(2(0(0(0(1(0(0(0(0(1(0(0(0(1(0(2(x1))))))))))))))))) |
(58) |
2(0(2(2(0(2(2(0(2(1(2(0(1(x1))))))))))))) |
→ |
2(2(2(2(0(0(0(0(0(0(0(0(0(1(2(2(0(x1))))))))))))))))) |
(59) |
2(1(0(2(1(2(1(2(1(2(2(2(1(x1))))))))))))) |
→ |
2(1(0(0(0(1(2(0(2(0(0(0(0(0(1(2(1(x1))))))))))))))))) |
(60) |
2(1(1(2(1(1(2(0(1(0(1(0(2(x1))))))))))))) |
→ |
2(2(0(2(0(0(1(2(0(2(2(2(2(2(2(1(2(x1))))))))))))))))) |
(61) |
2(1(1(2(2(0(2(0(0(2(0(1(0(x1))))))))))))) |
→ |
2(0(1(0(1(2(2(2(2(2(2(2(0(2(2(0(0(x1))))))))))))))))) |
(62) |
2(1(2(0(0(2(2(0(2(0(1(2(2(x1))))))))))))) |
→ |
2(0(0(0(0(2(0(0(1(2(2(2(2(2(2(0(2(x1))))))))))))))))) |
(63) |
2(1(2(0(2(2(2(1(1(0(0(1(2(x1))))))))))))) |
→ |
1(2(2(0(0(2(2(2(2(2(0(2(2(2(2(2(2(x1))))))))))))))))) |
(64) |
2(1(2(1(0(1(0(0(2(1(2(2(0(x1))))))))))))) |
→ |
2(2(1(1(0(0(0(0(0(0(1(2(1(0(0(0(1(x1))))))))))))))))) |
(65) |
2(1(2(2(1(2(2(2(2(1(2(1(0(x1))))))))))))) |
→ |
2(0(0(2(0(0(0(0(1(0(0(0(0(0(0(0(0(x1))))))))))))))))) |
(66) |
2(2(0(0(1(2(1(0(2(2(1(0(0(x1))))))))))))) |
→ |
2(2(2(2(2(2(2(0(2(2(0(2(2(0(2(2(0(x1))))))))))))))))) |
(67) |
2(2(0(0(2(1(2(1(2(0(1(2(0(x1))))))))))))) |
→ |
2(2(2(2(2(2(0(1(0(0(0(0(1(0(0(2(1(x1))))))))))))))))) |
(68) |
2(2(0(2(2(0(1(1(2(1(0(1(0(x1))))))))))))) |
→ |
2(2(2(2(2(2(2(2(2(2(1(0(0(2(0(0(1(x1))))))))))))))))) |
(69) |
2(2(0(2(2(1(2(1(2(2(0(2(0(x1))))))))))))) |
→ |
2(2(2(2(0(2(2(2(0(2(2(0(1(0(0(0(1(x1))))))))))))))))) |
(70) |
2(2(1(0(2(1(1(2(2(0(1(0(1(x1))))))))))))) |
→ |
2(2(2(2(0(1(0(0(0(1(0(0(0(0(0(1(2(x1))))))))))))))))) |
(71) |
2(2(1(1(2(1(0(1(1(2(0(0(2(x1))))))))))))) |
→ |
2(2(2(0(0(0(0(1(2(0(0(0(2(2(2(2(2(x1))))))))))))))))) |
(72) |
There are 128 ruless (increase limit for explicit display).
Root-labeling is applied.
We obtain the labeled TRS
There are 384 ruless (increase limit for explicit display).
There are 373 ruless (increase limit for explicit display).
The dependency pairs are split into 0
components.