The rewrite relation of the following TRS is considered.
0(1(1(0(0(2(1(1(x1)))))))) |
→ |
1(1(1(2(1(1(2(1(2(1(x1)))))))))) |
(1) |
0(1(1(1(0(2(1(0(x1)))))))) |
→ |
1(1(0(0(1(2(0(1(x1)))))))) |
(2) |
0(2(2(0(1(0(1(1(x1)))))))) |
→ |
1(2(1(1(2(0(1(2(1(x1))))))))) |
(3) |
2(1(2(0(2(0(1(0(0(2(0(x1))))))))))) |
→ |
1(0(1(2(1(2(0(1(2(1(2(2(x1)))))))))))) |
(4) |
1(1(1(1(0(0(1(1(1(1(1(2(2(1(x1)))))))))))))) |
→ |
1(2(0(2(0(2(1(1(2(1(2(1(1(2(0(1(x1)))))))))))))))) |
(5) |
2(1(0(1(0(0(2(2(1(2(2(0(2(2(2(0(x1)))))))))))))))) |
→ |
2(1(2(2(0(1(2(1(1(2(1(2(0(1(1(1(0(1(x1)))))))))))))))))) |
(6) |
2(2(0(0(2(0(0(2(2(0(1(0(0(0(1(2(x1)))))))))))))))) |
→ |
1(0(0(1(2(1(2(1(2(2(1(1(1(2(1(1(1(x1))))))))))))))))) |
(7) |
0(2(1(1(1(2(0(0(1(2(2(0(1(1(0(1(1(x1))))))))))))))))) |
→ |
1(1(2(1(2(1(0(0(2(2(0(1(0(1(1(1(0(1(x1)))))))))))))))))) |
(8) |
2(0(1(0(0(0(2(1(2(0(2(2(0(0(0(1(2(x1))))))))))))))))) |
→ |
1(1(2(0(0(1(0(1(1(1(2(1(2(2(2(1(2(1(x1)))))))))))))))))) |
(9) |
0(0(2(0(0(0(2(2(1(0(1(1(0(2(0(1(0(0(0(x1))))))))))))))))))) |
→ |
0(2(2(0(0(2(2(2(1(2(2(2(2(0(2(1(1(2(1(0(x1)))))))))))))))))))) |
(10) |
0(1(0(2(0(1(0(2(1(1(1(0(1(1(0(1(2(2(2(x1))))))))))))))))))) |
→ |
1(2(2(1(2(1(2(1(0(0(2(1(1(2(2(1(2(1(2(1(0(2(1(x1))))))))))))))))))))))) |
(11) |
1(0(1(1(1(0(2(0(2(0(0(2(0(0(0(0(1(2(1(1(1(x1))))))))))))))))))))) |
→ |
1(2(1(2(1(1(1(1(1(2(0(0(2(0(2(0(1(1(2(2(1(2(1(x1))))))))))))))))))))))) |
(12) |
2(0(2(0(1(0(0(0(0(2(0(2(0(0(1(1(2(0(0(0(2(x1))))))))))))))))))))) |
→ |
0(2(0(1(0(1(2(1(2(1(2(2(0(0(1(2(0(0(2(1(2(2(0(x1))))))))))))))))))))))) |
(13) |
2(2(2(1(0(0(2(0(2(2(2(2(0(0(0(2(2(0(1(2(0(2(x1)))))))))))))))))))))) |
→ |
2(2(0(2(0(2(2(2(2(2(1(1(1(1(2(1(2(1(1(2(1(2(0(x1))))))))))))))))))))))) |
(14) |
0(1(0(0(1(0(0(1(0(2(1(2(2(0(1(1(2(2(2(2(2(2(2(x1))))))))))))))))))))))) |
→ |
2(2(0(2(0(0(2(1(1(2(1(1(2(1(2(1(2(2(0(1(0(0(1(1(2(1(x1)))))))))))))))))))))))))) |
(15) |
2(1(2(0(2(0(0(2(0(1(1(0(2(1(0(1(2(2(0(1(1(0(0(0(x1)))))))))))))))))))))))) |
→ |
2(0(1(2(1(0(1(2(2(1(0(2(0(0(2(2(1(2(2(1(2(1(2(2(2(x1))))))))))))))))))))))))) |
(16) |
2(2(0(2(2(2(2(2(2(0(2(2(1(2(2(0(2(2(2(1(1(0(2(0(x1)))))))))))))))))))))))) |
→ |
0(1(2(2(1(0(1(0(0(1(2(1(2(2(1(2(0(1(2(1(0(0(0(1(2(2(x1)))))))))))))))))))))))))) |
(17) |
0(2(0(1(2(1(1(0(0(0(1(2(2(2(2(2(2(0(2(1(2(0(0(0(0(x1))))))))))))))))))))))))) |
→ |
1(2(0(0(1(2(1(0(0(1(0(1(1(2(2(1(1(1(0(1(2(1(2(1(0(2(x1)))))))))))))))))))))))))) |
(18) |
1(1(0(2(0(2(0(2(2(1(2(1(0(0(2(1(2(2(0(0(1(0(2(1(0(x1))))))))))))))))))))))))) |
→ |
1(0(2(0(1(2(0(1(2(0(1(1(2(1(0(0(2(0(1(2(1(1(0(0(1(1(x1)))))))))))))))))))))))))) |
(19) |
1(1(2(0(1(2(1(1(2(0(2(0(1(2(2(0(2(1(0(0(1(1(2(0(0(x1))))))))))))))))))))))))) |
→ |
1(2(1(0(1(2(1(0(2(1(1(2(1(2(0(1(0(2(2(2(0(1(0(2(2(2(x1)))))))))))))))))))))))))) |
(20) |
2(0(1(0(1(2(2(2(0(0(1(2(2(1(2(2(0(0(0(1(0(2(1(0(0(x1))))))))))))))))))))))))) |
→ |
2(2(2(1(1(0(2(0(0(0(1(0(2(0(1(2(1(2(1(1(0(2(0(1(0(1(x1)))))))))))))))))))))))))) |
(21) |
2(0(2(0(2(2(0(0(1(0(0(1(0(2(0(2(2(2(2(2(0(1(0(2(0(x1))))))))))))))))))))))))) |
→ |
2(1(2(1(1(1(0(0(0(1(1(1(2(2(1(0(1(2(2(2(2(0(1(1(1(0(x1)))))))))))))))))))))))))) |
(22) |
0(0(1(0(0(2(1(2(0(1(0(0(0(1(0(0(0(2(1(1(0(1(0(2(0(0(x1)))))))))))))))))))))))))) |
→ |
0(1(2(2(1(0(1(2(1(2(0(0(1(0(1(2(1(2(1(2(0(2(0(0(2(0(2(1(x1)))))))))))))))))))))))))))) |
(23) |
1(1(1(0(2(1(0(2(0(1(2(2(1(1(2(2(0(1(1(0(1(0(2(0(2(2(x1)))))))))))))))))))))))))) |
→ |
1(0(2(1(2(1(0(0(2(0(2(1(2(1(2(1(2(1(1(1(0(1(2(2(0(0(0(1(x1)))))))))))))))))))))))))))) |
(24) |
0(0(2(2(0(0(1(0(0(0(2(1(1(0(2(0(2(2(1(1(0(2(0(2(0(0(2(x1))))))))))))))))))))))))))) |
→ |
0(0(0(1(1(2(0(2(2(2(0(2(0(1(0(1(0(0(1(2(1(1(2(2(0(1(1(0(x1)))))))))))))))))))))))))))) |
(25) |
2(0(1(0(0(0(0(1(0(1(0(0(2(0(0(1(1(1(1(2(0(1(1(1(1(0(0(x1))))))))))))))))))))))))))) |
→ |
1(1(1(1(1(0(0(1(2(1(2(2(1(2(1(1(2(2(2(1(1(1(2(1(1(2(2(0(x1)))))))))))))))))))))))))))) |
(26) |
0(2(2(1(0(0(2(2(0(1(0(1(1(0(2(1(0(1(2(2(2(0(1(1(2(0(1(0(x1)))))))))))))))))))))))))))) |
→ |
1(0(2(2(0(1(2(1(0(0(2(1(2(2(1(2(1(0(2(1(0(2(0(1(2(0(1(1(1(1(x1)))))))))))))))))))))))))))))) |
(27) |
1(2(2(1(2(0(0(0(2(1(0(0(1(0(1(1(2(1(1(2(2(1(1(1(0(2(2(0(x1)))))))))))))))))))))))))))) |
→ |
1(1(2(2(1(2(0(1(0(1(2(0(1(0(1(1(2(1(2(2(0(1(0(1(0(2(2(0(x1)))))))))))))))))))))))))))) |
(28) |
2(0(0(2(1(0(2(0(1(0(2(1(1(2(2(2(0(1(2(2(2(0(2(1(0(2(1(1(x1)))))))))))))))))))))))))))) |
→ |
1(2(0(0(1(2(1(2(1(0(0(0(0(0(2(2(0(1(1(2(2(2(1(2(2(2(2(1(1(x1))))))))))))))))))))))))))))) |
(29) |
0(1(2(0(1(2(2(0(1(1(0(1(2(2(2(0(2(0(1(2(2(2(1(0(1(1(0(2(2(x1))))))))))))))))))))))))))))) |
→ |
2(2(0(0(0(1(1(2(1(2(1(2(1(2(0(2(0(2(2(1(0(0(1(0(0(2(2(1(0(0(1(x1))))))))))))))))))))))))))))))) |
(30) |
2(0(0(1(0(0(0(0(0(0(1(1(0(2(2(0(2(1(0(2(2(1(0(2(1(2(2(0(2(x1))))))))))))))))))))))))))))) |
→ |
0(2(2(2(1(2(2(2(1(1(1(0(0(1(1(2(1(1(1(2(2(2(0(2(1(1(2(0(2(2(x1)))))))))))))))))))))))))))))) |
(31) |
0(0(2(2(0(2(2(0(2(0(2(2(0(2(2(1(1(0(0(2(1(0(0(2(2(2(2(0(2(0(x1)))))))))))))))))))))))))))))) |
→ |
0(1(1(2(0(1(0(1(2(1(2(0(0(1(1(2(1(1(2(0(1(0(1(0(1(2(1(1(1(2(2(x1))))))))))))))))))))))))))))))) |
(32) |
0(1(1(1(2(0(0(1(2(1(1(2(1(2(2(0(0(2(2(1(0(0(1(0(2(0(1(2(0(1(x1)))))))))))))))))))))))))))))) |
→ |
2(1(0(1(2(1(0(0(0(0(1(2(1(1(1(2(1(0(1(2(2(1(2(0(1(2(1(1(1(1(2(1(x1)))))))))))))))))))))))))))))))) |
(33) |
1(1(2(0(2(2(2(0(2(2(0(0(1(0(0(1(0(0(0(0(1(2(1(1(0(2(0(0(0(2(x1)))))))))))))))))))))))))))))) |
→ |
1(1(2(1(1(2(1(1(1(1(1(0(0(2(1(0(2(1(2(1(2(2(2(2(1(1(0(2(2(2(0(x1))))))))))))))))))))))))))))))) |
(34) |
2(2(2(0(1(1(0(0(0(0(0(1(1(2(2(0(2(1(0(0(1(1(0(2(1(2(0(0(2(0(x1)))))))))))))))))))))))))))))) |
→ |
1(2(1(2(0(1(1(1(2(1(2(1(1(2(0(0(0(1(1(2(1(0(2(2(0(1(2(2(0(0(2(2(x1)))))))))))))))))))))))))))))))) |
(35) |
1(2(2(0(1(0(0(0(0(2(1(2(1(1(0(1(1(0(0(2(0(0(2(1(2(0(1(0(0(1(0(x1))))))))))))))))))))))))))))))) |
→ |
1(2(1(2(0(0(0(1(0(2(2(1(1(1(1(2(1(2(0(0(0(1(1(2(0(1(0(2(1(2(1(1(x1)))))))))))))))))))))))))))))))) |
(36) |
0(1(0(0(1(1(1(1(0(2(1(0(0(2(0(1(0(2(2(1(1(2(1(2(2(0(0(0(1(1(2(0(x1)))))))))))))))))))))))))))))))) |
→ |
1(1(2(2(1(2(0(2(1(2(1(2(0(1(1(1(0(1(2(0(0(0(1(2(0(0(1(2(1(2(1(0(1(x1))))))))))))))))))))))))))))))))) |
(37) |
1(0(1(0(0(1(1(1(2(1(0(2(0(1(2(0(2(1(1(0(1(1(1(0(2(2(2(1(0(1(2(0(1(x1))))))))))))))))))))))))))))))))) |
→ |
1(2(1(0(1(0(1(0(1(0(0(0(2(0(0(0(1(2(1(2(0(0(2(0(2(2(1(1(0(1(2(0(0(1(x1)))))))))))))))))))))))))))))))))) |
(38) |
2(2(0(0(2(0(1(1(2(2(2(2(0(2(0(2(1(2(1(0(0(0(0(2(1(1(1(1(2(2(0(2(2(x1))))))))))))))))))))))))))))))))) |
→ |
2(2(0(0(2(0(2(1(2(1(2(2(1(0(2(2(2(0(1(0(2(0(0(2(1(0(1(1(2(2(1(2(0(x1))))))))))))))))))))))))))))))))) |
(39) |
0(0(0(2(2(0(2(0(0(1(2(0(0(0(1(2(2(1(0(0(0(2(2(2(2(1(2(2(2(0(2(1(2(2(x1)))))))))))))))))))))))))))))))))) |
→ |
0(0(2(2(1(0(0(0(1(0(1(2(1(2(1(2(1(1(2(1(1(1(0(2(0(1(2(1(1(1(2(0(2(0(1(x1))))))))))))))))))))))))))))))))))) |
(40) |
2(0(0(0(2(1(2(2(2(0(1(1(1(0(2(1(1(0(0(1(0(0(0(0(2(1(0(1(1(2(2(0(2(0(x1)))))))))))))))))))))))))))))))))) |
→ |
2(0(2(2(0(1(1(1(2(0(0(2(1(2(1(2(0(1(1(1(2(2(2(1(0(0(2(2(2(1(2(1(1(0(0(2(x1)))))))))))))))))))))))))))))))))))) |
(41) |
2(0(1(1(2(2(0(0(0(0(0(0(0(2(2(2(2(2(2(2(1(2(0(0(0(1(0(0(2(0(0(2(1(0(2(x1))))))))))))))))))))))))))))))))))) |
→ |
1(1(2(0(0(1(1(2(0(2(1(1(1(2(0(0(0(0(1(1(2(1(1(1(2(1(0(2(1(0(2(2(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))) |
(42) |
2(2(0(2(2(0(1(0(1(1(1(2(0(2(2(1(0(0(0(0(2(0(0(1(1(2(2(1(0(2(0(0(2(2(2(x1))))))))))))))))))))))))))))))))))) |
→ |
0(2(1(2(0(2(0(2(1(1(1(2(1(0(0(1(1(1(2(1(2(0(1(2(0(2(2(1(2(0(1(0(1(2(1(2(0(2(x1)))))))))))))))))))))))))))))))))))))) |
(43) |
1(2(0(2(1(0(2(2(2(2(1(1(1(1(0(0(2(2(0(0(2(2(0(1(1(0(2(2(1(0(2(2(0(1(1(1(x1)))))))))))))))))))))))))))))))))))) |
→ |
1(2(1(0(1(2(2(2(2(2(0(1(0(2(1(0(2(1(1(1(0(2(1(2(2(2(2(0(2(1(1(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))) |
(44) |
2(1(1(1(1(1(1(0(0(1(0(2(1(0(1(1(2(2(1(2(1(1(0(2(2(2(2(0(1(1(0(2(2(2(0(2(x1)))))))))))))))))))))))))))))))))))) |
→ |
1(1(2(1(1(2(0(2(1(2(0(0(1(1(0(2(1(2(2(1(2(1(0(1(1(2(1(0(0(2(1(0(1(2(2(0(2(x1))))))))))))))))))))))))))))))))))))) |
(45) |
2(0(2(0(0(2(2(2(1(0(2(1(0(1(1(2(0(2(0(1(0(0(1(2(2(0(2(1(0(0(0(2(1(1(0(0(2(x1))))))))))))))))))))))))))))))))))))) |
→ |
0(2(1(1(1(1(2(0(2(1(1(2(2(2(1(1(2(1(1(0(1(0(2(0(2(1(0(1(2(1(1(0(1(1(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))) |
(46) |
2(0(2(1(0(0(1(1(0(0(0(1(1(0(0(0(0(0(2(2(1(2(2(0(2(0(2(2(2(0(1(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))))) |
→ |
2(1(2(0(1(2(0(0(2(1(1(0(0(1(2(0(1(1(1(2(0(0(0(0(0(1(2(1(1(1(0(1(2(2(2(2(1(0(x1)))))))))))))))))))))))))))))))))))))) |
(47) |
0(0(1(1(2(0(2(0(1(2(1(1(0(0(0(2(2(0(2(2(0(0(1(2(2(2(1(1(0(0(1(0(0(1(2(0(2(1(0(x1))))))))))))))))))))))))))))))))))))))) |
→ |
2(1(2(1(2(0(1(0(1(1(1(2(2(1(1(0(2(1(1(1(0(1(0(0(1(1(0(1(2(1(2(0(0(1(2(1(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))) |
(48) |
0(0(2(2(0(0(2(1(0(1(0(0(1(0(1(2(2(2(1(1(2(2(0(0(2(1(0(0(2(2(0(2(2(1(0(1(2(2(2(x1))))))))))))))))))))))))))))))))))))))) |
→ |
1(1(1(2(1(0(0(0(0(0(1(0(2(0(1(2(2(1(2(0(2(0(0(1(2(2(2(2(0(2(1(0(1(2(2(0(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))) |
(49) |
0(1(0(0(2(2(2(2(1(1(1(0(2(0(1(0(0(2(1(2(2(1(0(0(1(2(2(2(2(1(2(2(0(2(2(0(2(2(2(x1))))))))))))))))))))))))))))))))))))))) |
→ |
1(0(2(0(1(2(1(0(1(2(0(1(1(1(1(0(1(1(1(2(0(0(2(1(1(2(1(0(2(0(1(0(0(0(2(1(1(2(2(1(x1)))))))))))))))))))))))))))))))))))))))) |
(50) |
0(1(1(2(1(2(1(2(2(2(2(2(0(0(2(1(0(2(1(0(2(0(0(0(0(0(2(1(0(2(0(0(2(2(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))) |
→ |
0(0(1(0(1(2(1(2(1(2(2(2(1(2(2(1(1(2(1(2(1(1(0(2(0(1(2(1(1(2(2(0(0(2(1(1(0(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))) |
(51) |
0(2(0(2(1(0(1(1(0(0(0(1(2(2(2(0(0(0(0(0(2(1(0(1(2(2(2(0(2(0(1(0(0(2(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))) |
→ |
2(0(2(2(1(2(2(2(1(1(1(2(2(1(2(1(2(1(2(0(0(0(1(1(1(2(0(0(1(1(2(1(1(2(1(1(2(1(0(0(0(2(x1)))))))))))))))))))))))))))))))))))))))))) |
(52) |
0(0(2(2(2(2(2(0(2(1(1(2(2(0(0(2(2(0(0(2(2(1(1(2(2(2(1(2(2(1(0(1(1(2(2(2(0(0(0(2(x1)))))))))))))))))))))))))))))))))))))))) |
→ |
1(2(2(0(1(2(2(2(0(2(1(2(1(2(1(2(1(1(2(1(2(2(2(0(0(1(2(1(1(1(0(1(1(0(1(2(0(1(1(1(0(0(0(0(2(x1))))))))))))))))))))))))))))))))))))))))))))) |
(53) |
0(1(0(1(1(0(1(1(2(0(1(2(0(0(0(0(2(2(0(0(2(1(2(0(1(2(0(0(1(2(0(0(0(1(0(1(1(2(0(0(x1)))))))))))))))))))))))))))))))))))))))) |
→ |
1(2(2(1(2(1(2(0(2(2(0(2(1(2(1(2(1(0(1(0(2(0(1(0(1(2(0(1(0(1(2(1(1(0(2(2(0(1(0(2(1(1(x1)))))))))))))))))))))))))))))))))))))))))) |
(54) |
2(1(1(2(2(2(2(2(0(2(1(2(2(2(2(0(1(2(0(2(0(0(2(2(1(1(1(2(1(1(1(0(2(0(0(2(0(2(2(1(x1)))))))))))))))))))))))))))))))))))))))) |
→ |
2(2(1(2(1(2(1(2(2(0(1(2(0(2(0(2(2(2(0(2(1(0(2(2(2(2(1(0(1(1(1(2(2(0(0(2(1(2(0(1(x1)))))))))))))))))))))))))))))))))))))))) |
(55) |
0(1(0(2(1(0(0(2(0(0(1(2(2(1(0(2(2(2(2(2(1(1(1(0(0(0(0(1(0(1(1(2(2(0(0(0(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))) |
→ |
0(0(1(2(1(1(0(0(2(1(1(0(2(1(2(2(0(2(2(2(0(0(0(0(2(0(1(0(0(0(0(1(2(1(1(0(0(1(2(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))) |
(56) |
0(2(0(0(0(0(0(2(0(1(1(1(0(0(2(2(2(2(2(0(2(1(2(0(2(0(0(1(1(0(2(2(0(1(1(2(2(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))) |
→ |
1(0(2(1(1(1(1(1(2(2(1(2(0(1(1(2(1(0(0(1(0(1(0(2(0(0(1(1(1(2(0(0(2(1(0(2(1(0(2(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))) |
(57) |
1(0(2(0(2(2(1(1(0(1(2(0(1(0(1(1(1(1(2(2(2(2(2(0(1(2(2(0(0(0(0(2(0(2(0(1(2(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))) |
→ |
1(1(0(0(2(2(1(1(2(1(0(1(2(1(2(0(1(2(2(2(0(0(1(0(0(1(2(0(1(1(1(0(0(0(0(1(0(1(2(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) |
(58) |
2(1(0(2(1(0(1(2(2(0(1(2(1(1(1(0(1(2(0(0(0(1(1(0(0(0(2(2(1(1(2(0(2(0(1(0(1(1(0(1(2(2(x1)))))))))))))))))))))))))))))))))))))))))) |
→ |
0(1(1(0(1(2(2(2(0(0(0(1(2(1(0(1(0(1(1(2(1(1(1(2(0(1(0(2(1(2(1(0(1(2(0(0(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))) |
(59) |
0(2(1(1(2(2(0(1(1(0(0(1(2(2(2(0(2(2(2(2(2(0(2(0(2(0(2(2(1(0(2(2(1(0(0(0(1(0(2(2(2(1(2(x1))))))))))))))))))))))))))))))))))))))))))) |
→ |
2(2(0(0(1(0(2(1(1(2(1(0(1(2(1(0(1(1(0(0(2(2(2(2(0(0(2(0(1(2(0(1(0(1(0(0(2(2(1(2(1(1(2(1(1(x1))))))))))))))))))))))))))))))))))))))))))))) |
(60) |
1(2(0(2(0(0(1(2(2(1(1(2(2(1(0(2(0(2(2(1(1(1(0(0(0(2(2(0(1(1(0(2(2(2(1(0(0(1(1(2(0(2(2(x1))))))))))))))))))))))))))))))))))))))))))) |
→ |
1(1(0(2(2(2(2(2(1(2(2(1(1(2(0(0(2(0(2(1(0(1(1(1(2(0(0(1(1(2(0(0(0(2(2(1(2(1(1(1(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) |
(61) |
0(2(2(0(2(1(1(2(1(1(2(1(1(1(0(2(0(0(1(1(1(2(0(1(1(1(0(0(2(0(0(2(1(1(0(1(1(2(2(0(0(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))))) |
→ |
1(1(2(2(0(0(1(1(2(1(2(1(0(1(1(2(0(0(1(2(2(1(1(0(0(2(1(0(1(2(1(1(0(2(0(2(1(1(2(2(0(0(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) |
(62) |
2(2(2(0(2(0(2(2(0(2(1(1(1(2(1(0(0(1(0(2(0(2(0(1(0(2(1(0(1(0(0(1(2(2(1(0(2(2(0(2(0(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) |
→ |
0(2(2(2(1(2(2(0(2(1(2(2(2(0(1(0(1(1(2(1(2(1(0(0(0(2(1(1(2(0(0(0(2(0(0(2(1(2(2(0(0(1(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) |
(63) |
0(1(2(2(1(1(2(1(1(1(2(0(2(2(0(0(0(0(2(2(0(1(0(0(0(0(0(0(2(1(2(0(0(1(1(2(1(1(0(0(1(0(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))))) |
→ |
1(1(1(0(0(1(2(1(1(1(2(1(0(2(2(1(2(2(1(2(0(1(1(2(1(2(1(2(1(2(1(0(0(1(0(2(0(1(2(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) |
(64) |
1(1(0(1(0(2(1(0(0(2(1(2(1(2(0(2(2(0(1(0(1(0(1(2(1(1(2(2(1(0(2(2(2(2(2(1(0(0(1(0(1(2(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) |
→ |
1(1(2(0(0(0(1(0(1(1(2(1(2(1(0(2(2(2(1(2(1(2(0(2(0(0(2(0(1(0(0(1(2(2(0(1(0(0(2(1(1(2(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))) |
(65) |
1(2(2(1(1(2(0(1(0(0(1(2(1(2(1(1(1(1(2(0(1(1(2(2(1(2(0(0(0(2(2(1(1(0(0(0(0(2(0(0(2(2(0(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))) |
→ |
1(0(2(2(1(2(1(1(2(1(2(0(0(1(0(1(0(2(1(1(0(0(1(1(1(2(1(2(1(2(0(1(1(0(2(0(0(2(2(2(2(0(2(1(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))) |
(66) |
0(0(1(2(2(2(2(1(1(0(2(2(1(0(2(0(1(2(2(2(1(1(0(2(0(2(0(1(2(0(1(0(2(2(0(2(1(2(1(0(0(0(2(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))) |
→ |
1(2(1(0(2(2(0(0(0(2(0(2(1(2(1(0(2(1(0(1(0(2(0(2(2(0(1(2(1(0(2(0(1(0(2(2(0(2(1(1(1(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) |
(67) |
2(0(2(0(1(0(1(1(2(0(1(1(1(2(2(1(0(0(0(1(0(0(2(2(0(1(0(0(1(1(1(1(1(2(0(0(1(1(1(1(0(0(0(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))) |
→ |
0(0(1(2(1(1(2(2(0(0(0(2(1(1(1(0(1(1(1(0(0(1(0(2(0(1(2(2(1(1(2(0(0(2(2(0(1(1(0(0(2(0(0(1(2(1(2(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) |
(68) |
0(0(1(0(0(0(2(2(1(0(1(2(0(1(2(0(2(1(1(0(1(1(0(0(1(0(0(2(0(2(0(2(0(2(0(1(1(1(1(2(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) |
→ |
0(1(2(1(1(1(1(0(2(2(1(1(2(0(1(2(1(0(1(2(0(1(0(1(2(2(0(1(2(1(0(1(2(2(0(1(1(1(0(1(1(2(1(0(1(0(2(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) |
(69) |
0(0(2(1(2(2(0(0(2(0(1(1(1(0(1(0(0(0(1(0(2(2(2(1(1(0(2(2(1(2(1(0(2(1(0(0(0(2(2(0(2(0(1(1(2(2(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) |
→ |
0(2(0(1(2(1(1(0(0(2(0(2(1(2(0(2(2(1(2(0(0(1(2(0(0(1(2(2(0(0(1(2(2(2(1(2(2(0(1(2(1(2(1(0(2(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))) |
(70) |
0(0(2(2(2(2(2(2(2(0(2(1(2(0(1(2(2(1(2(2(0(2(2(0(1(0(1(2(0(0(0(1(0(1(0(0(2(2(0(0(1(0(1(1(0(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) |
→ |
2(0(0(1(2(2(1(2(2(2(1(1(2(2(2(2(2(0(2(0(1(1(1(0(1(2(1(0(0(2(2(1(0(0(2(0(0(0(1(1(0(2(1(2(2(2(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))) |
(71) |
0(2(2(1(1(2(1(0(0(1(2(2(0(0(2(0(1(2(0(2(2(0(1(0(0(2(2(0(2(1(1(0(2(0(1(0(1(0(0(0(2(1(0(0(1(2(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) |
→ |
0(2(0(2(2(1(2(0(2(0(1(0(1(1(1(0(1(0(0(0(1(2(1(1(1(0(1(2(1(0(2(1(1(0(2(2(2(1(2(2(1(0(2(1(2(2(2(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))) |
(72) |
0(2(2(1(2(0(1(2(1(0(1(1(2(0(2(2(2(1(0(2(2(2(1(0(2(2(0(1(0(0(0(0(2(2(0(1(2(2(2(0(2(1(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) |
→ |
1(0(1(2(1(2(0(2(0(0(1(2(1(1(1(0(2(0(0(2(2(0(1(1(1(0(0(1(1(2(1(0(0(2(2(0(2(1(0(0(1(0(1(2(1(2(2(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) |
(73) |
2(0(1(2(2(0(2(2(1(0(1(2(2(2(0(2(2(2(1(0(1(2(0(2(1(0(1(0(1(0(0(2(2(2(2(0(2(1(1(0(2(2(0(0(0(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) |
→ |
0(0(2(2(2(2(2(1(1(0(1(2(2(2(0(0(1(2(0(0(1(2(2(0(2(0(1(2(1(0(0(2(2(2(2(0(1(0(0(2(2(2(2(0(0(2(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) |
(74) |
2(2(1(0(1(1(0(0(2(1(0(2(1(2(2(2(1(1(0(2(0(2(1(2(2(2(1(0(1(1(1(0(1(1(0(0(2(2(0(2(0(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) |
→ |
1(0(1(0(1(0(1(1(2(1(1(1(1(0(0(1(1(1(1(0(1(1(2(2(0(1(2(0(2(1(1(0(0(0(1(2(1(0(1(1(1(1(2(1(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) |
(75) |
There are 225 ruless (increase limit for explicit display).
There are 675 ruless (increase limit for explicit display).
As carrier we take the set
{0,...,8}.
Symbols are labeled by the interpretation of their arguments using the interpretations
(modulo 9):
There are 6075 ruless (increase limit for explicit display).
There are 6075 ruless (increase limit for explicit display).
There are no rules in the TRS. Hence, it is terminating.