The rewrite relation of the following TRS is considered.
2(1(2(1(1(0(0(1(0(2(1(1(0(2(x1)))))))))))))) |
→ |
2(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1)))))))))))))))))) |
(8) |
2(2(0(1(2(1(2(1(2(1(0(0(1(0(x1)))))))))))))) |
→ |
2(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1)))))))))))))))))) |
(9) |
2(2(1(0(0(2(1(1(1(0(1(2(2(0(x1)))))))))))))) |
→ |
2(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1)))))))))))))))))) |
(10) |
2(2(2(0(0(1(0(2(1(1(1(0(0(1(x1)))))))))))))) |
→ |
2(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1)))))))))))))))))) |
(11) |
2(2(2(1(0(1(0(1(1(0(0(0(2(0(x1)))))))))))))) |
→ |
2(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1)))))))))))))))))) |
(12) |
2(2(2(1(1(0(2(0(0(0(2(2(0(0(x1)))))))))))))) |
→ |
2(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1)))))))))))))))))) |
(13) |
2(2(2(2(1(0(2(0(0(1(0(1(0(2(x1)))))))))))))) |
→ |
2(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1)))))))))))))))))) |
(14) |
1(1(2(1(1(0(0(1(0(2(1(1(0(2(x1)))))))))))))) |
→ |
1(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1)))))))))))))))))) |
(15) |
1(2(0(1(2(1(2(1(2(1(0(0(1(0(x1)))))))))))))) |
→ |
1(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1)))))))))))))))))) |
(16) |
1(2(1(0(0(2(1(1(1(0(1(2(2(0(x1)))))))))))))) |
→ |
1(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1)))))))))))))))))) |
(17) |
1(2(2(0(0(1(0(2(1(1(1(0(0(1(x1)))))))))))))) |
→ |
1(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1)))))))))))))))))) |
(18) |
1(2(2(1(0(1(0(1(1(0(0(0(2(0(x1)))))))))))))) |
→ |
1(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1)))))))))))))))))) |
(19) |
1(2(2(1(1(0(2(0(0(0(2(2(0(0(x1)))))))))))))) |
→ |
1(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1)))))))))))))))))) |
(20) |
1(2(2(2(1(0(2(0(0(1(0(1(0(2(x1)))))))))))))) |
→ |
1(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1)))))))))))))))))) |
(21) |
0(1(2(1(1(0(0(1(0(2(1(1(0(2(x1)))))))))))))) |
→ |
0(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1)))))))))))))))))) |
(22) |
0(2(0(1(2(1(2(1(2(1(0(0(1(0(x1)))))))))))))) |
→ |
0(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1)))))))))))))))))) |
(23) |
0(2(1(0(0(2(1(1(1(0(1(2(2(0(x1)))))))))))))) |
→ |
0(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1)))))))))))))))))) |
(24) |
0(2(2(0(0(1(0(2(1(1(1(0(0(1(x1)))))))))))))) |
→ |
0(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1)))))))))))))))))) |
(25) |
0(2(2(1(0(1(0(1(1(0(0(0(2(0(x1)))))))))))))) |
→ |
0(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1)))))))))))))))))) |
(26) |
0(2(2(1(1(0(2(0(0(0(2(2(0(0(x1)))))))))))))) |
→ |
0(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1)))))))))))))))))) |
(27) |
0(2(2(2(1(0(2(0(0(1(0(1(0(2(x1)))))))))))))) |
→ |
0(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1)))))))))))))))))) |
(28) |
2(2(1(2(1(1(0(0(1(0(2(1(1(0(2(x1))))))))))))))) |
→ |
2(2(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1))))))))))))))))))) |
(29) |
2(2(2(0(1(2(1(2(1(2(1(0(0(1(0(x1))))))))))))))) |
→ |
2(2(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1))))))))))))))))))) |
(30) |
2(2(2(1(0(0(2(1(1(1(0(1(2(2(0(x1))))))))))))))) |
→ |
2(2(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))) |
(31) |
2(2(2(2(0(0(1(0(2(1(1(1(0(0(1(x1))))))))))))))) |
→ |
2(2(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1))))))))))))))))))) |
(32) |
2(2(2(2(1(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))) |
→ |
2(2(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1))))))))))))))))))) |
(33) |
2(2(2(2(1(1(0(2(0(0(0(2(2(0(0(x1))))))))))))))) |
→ |
2(2(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))) |
(34) |
2(2(2(2(2(1(0(2(0(0(1(0(1(0(2(x1))))))))))))))) |
→ |
2(2(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1))))))))))))))))))) |
(35) |
2(1(1(2(1(1(0(0(1(0(2(1(1(0(2(x1))))))))))))))) |
→ |
2(1(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1))))))))))))))))))) |
(36) |
2(1(2(0(1(2(1(2(1(2(1(0(0(1(0(x1))))))))))))))) |
→ |
2(1(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1))))))))))))))))))) |
(37) |
2(1(2(1(0(0(2(1(1(1(0(1(2(2(0(x1))))))))))))))) |
→ |
2(1(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))) |
(38) |
2(1(2(2(0(0(1(0(2(1(1(1(0(0(1(x1))))))))))))))) |
→ |
2(1(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1))))))))))))))))))) |
(39) |
2(1(2(2(1(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))) |
→ |
2(1(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1))))))))))))))))))) |
(40) |
2(1(2(2(1(1(0(2(0(0(0(2(2(0(0(x1))))))))))))))) |
→ |
2(1(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))) |
(41) |
2(1(2(2(2(1(0(2(0(0(1(0(1(0(2(x1))))))))))))))) |
→ |
2(1(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1))))))))))))))))))) |
(42) |
2(0(1(2(1(1(0(0(1(0(2(1(1(0(2(x1))))))))))))))) |
→ |
2(0(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1))))))))))))))))))) |
(43) |
2(0(2(0(1(2(1(2(1(2(1(0(0(1(0(x1))))))))))))))) |
→ |
2(0(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1))))))))))))))))))) |
(44) |
2(0(2(1(0(0(2(1(1(1(0(1(2(2(0(x1))))))))))))))) |
→ |
2(0(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))) |
(45) |
2(0(2(2(0(0(1(0(2(1(1(1(0(0(1(x1))))))))))))))) |
→ |
2(0(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1))))))))))))))))))) |
(46) |
2(0(2(2(1(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))) |
→ |
2(0(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1))))))))))))))))))) |
(47) |
2(0(2(2(1(1(0(2(0(0(0(2(2(0(0(x1))))))))))))))) |
→ |
2(0(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))) |
(48) |
2(0(2(2(2(1(0(2(0(0(1(0(1(0(2(x1))))))))))))))) |
→ |
2(0(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1))))))))))))))))))) |
(49) |
1(2(1(2(1(1(0(0(1(0(2(1(1(0(2(x1))))))))))))))) |
→ |
1(2(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1))))))))))))))))))) |
(50) |
1(2(2(0(1(2(1(2(1(2(1(0(0(1(0(x1))))))))))))))) |
→ |
1(2(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1))))))))))))))))))) |
(51) |
1(2(2(1(0(0(2(1(1(1(0(1(2(2(0(x1))))))))))))))) |
→ |
1(2(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))) |
(52) |
1(2(2(2(0(0(1(0(2(1(1(1(0(0(1(x1))))))))))))))) |
→ |
1(2(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1))))))))))))))))))) |
(53) |
1(2(2(2(1(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))) |
→ |
1(2(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1))))))))))))))))))) |
(54) |
1(2(2(2(1(1(0(2(0(0(0(2(2(0(0(x1))))))))))))))) |
→ |
1(2(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))) |
(55) |
1(2(2(2(2(1(0(2(0(0(1(0(1(0(2(x1))))))))))))))) |
→ |
1(2(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1))))))))))))))))))) |
(56) |
1(1(1(2(1(1(0(0(1(0(2(1(1(0(2(x1))))))))))))))) |
→ |
1(1(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1))))))))))))))))))) |
(57) |
1(1(2(0(1(2(1(2(1(2(1(0(0(1(0(x1))))))))))))))) |
→ |
1(1(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1))))))))))))))))))) |
(58) |
1(1(2(1(0(0(2(1(1(1(0(1(2(2(0(x1))))))))))))))) |
→ |
1(1(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))) |
(59) |
1(1(2(2(0(0(1(0(2(1(1(1(0(0(1(x1))))))))))))))) |
→ |
1(1(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1))))))))))))))))))) |
(60) |
1(1(2(2(1(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))) |
→ |
1(1(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1))))))))))))))))))) |
(61) |
1(1(2(2(1(1(0(2(0(0(0(2(2(0(0(x1))))))))))))))) |
→ |
1(1(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))) |
(62) |
1(1(2(2(2(1(0(2(0(0(1(0(1(0(2(x1))))))))))))))) |
→ |
1(1(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1))))))))))))))))))) |
(63) |
1(0(1(2(1(1(0(0(1(0(2(1(1(0(2(x1))))))))))))))) |
→ |
1(0(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1))))))))))))))))))) |
(64) |
1(0(2(0(1(2(1(2(1(2(1(0(0(1(0(x1))))))))))))))) |
→ |
1(0(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1))))))))))))))))))) |
(65) |
1(0(2(1(0(0(2(1(1(1(0(1(2(2(0(x1))))))))))))))) |
→ |
1(0(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))) |
(66) |
1(0(2(2(0(0(1(0(2(1(1(1(0(0(1(x1))))))))))))))) |
→ |
1(0(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1))))))))))))))))))) |
(67) |
1(0(2(2(1(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))) |
→ |
1(0(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1))))))))))))))))))) |
(68) |
1(0(2(2(1(1(0(2(0(0(0(2(2(0(0(x1))))))))))))))) |
→ |
1(0(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))) |
(69) |
1(0(2(2(2(1(0(2(0(0(1(0(1(0(2(x1))))))))))))))) |
→ |
1(0(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1))))))))))))))))))) |
(70) |
0(2(1(2(1(1(0(0(1(0(2(1(1(0(2(x1))))))))))))))) |
→ |
0(2(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1))))))))))))))))))) |
(71) |
0(2(2(0(1(2(1(2(1(2(1(0(0(1(0(x1))))))))))))))) |
→ |
0(2(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1))))))))))))))))))) |
(72) |
0(2(2(1(0(0(2(1(1(1(0(1(2(2(0(x1))))))))))))))) |
→ |
0(2(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))) |
(73) |
0(2(2(2(0(0(1(0(2(1(1(1(0(0(1(x1))))))))))))))) |
→ |
0(2(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1))))))))))))))))))) |
(74) |
0(2(2(2(1(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))) |
→ |
0(2(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1))))))))))))))))))) |
(75) |
0(2(2(2(1(1(0(2(0(0(0(2(2(0(0(x1))))))))))))))) |
→ |
0(2(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))) |
(76) |
0(2(2(2(2(1(0(2(0(0(1(0(1(0(2(x1))))))))))))))) |
→ |
0(2(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1))))))))))))))))))) |
(77) |
0(1(1(2(1(1(0(0(1(0(2(1(1(0(2(x1))))))))))))))) |
→ |
0(1(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1))))))))))))))))))) |
(78) |
0(1(2(0(1(2(1(2(1(2(1(0(0(1(0(x1))))))))))))))) |
→ |
0(1(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1))))))))))))))))))) |
(79) |
0(1(2(1(0(0(2(1(1(1(0(1(2(2(0(x1))))))))))))))) |
→ |
0(1(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))) |
(80) |
0(1(2(2(0(0(1(0(2(1(1(1(0(0(1(x1))))))))))))))) |
→ |
0(1(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1))))))))))))))))))) |
(81) |
0(1(2(2(1(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))) |
→ |
0(1(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1))))))))))))))))))) |
(82) |
0(1(2(2(1(1(0(2(0(0(0(2(2(0(0(x1))))))))))))))) |
→ |
0(1(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))) |
(83) |
0(1(2(2(2(1(0(2(0(0(1(0(1(0(2(x1))))))))))))))) |
→ |
0(1(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1))))))))))))))))))) |
(84) |
0(0(1(2(1(1(0(0(1(0(2(1(1(0(2(x1))))))))))))))) |
→ |
0(0(1(2(2(1(0(0(2(0(1(2(2(0(1(0(0(2(2(x1))))))))))))))))))) |
(85) |
0(0(2(0(1(2(1(2(1(2(1(0(0(1(0(x1))))))))))))))) |
→ |
0(0(2(2(0(0(2(1(1(1(0(0(0(1(1(1(2(2(0(x1))))))))))))))))))) |
(86) |
0(0(2(1(0(0(2(1(1(1(0(1(2(2(0(x1))))))))))))))) |
→ |
0(0(0(0(2(1(0(0(1(1(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))) |
(87) |
0(0(2(2(0(0(1(0(2(1(1(1(0(0(1(x1))))))))))))))) |
→ |
0(0(2(2(1(1(2(0(0(1(2(2(0(2(0(0(2(2(2(x1))))))))))))))))))) |
(88) |
0(0(2(2(1(0(1(0(1(1(0(0(0(2(0(x1))))))))))))))) |
→ |
0(0(0(2(2(1(0(0(1(0(0(1(1(1(1(0(0(2(0(x1))))))))))))))))))) |
(89) |
0(0(2(2(1(1(0(2(0(0(0(2(2(0(0(x1))))))))))))))) |
→ |
0(0(0(0(1(2(0(0(0(2(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))) |
(90) |
0(0(2(2(2(1(0(2(0(0(1(0(1(0(2(x1))))))))))))))) |
→ |
0(0(0(2(2(0(0(2(2(2(1(2(0(0(2(2(0(2(2(x1))))))))))))))))))) |
(91) |
As carrier we take the set
{0,...,8}.
Symbols are labeled by the interpretation of their arguments using the interpretations
(modulo 9):
There are 567 ruless (increase limit for explicit display).
There are 567 ruless (increase limit for explicit display).
There are no rules in the TRS. Hence, it is terminating.