MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

0(1(0(1(2(0(2(2(x0)))))))) → 1(2(0(2(0(1(2(0(x0))))))))
1(2(2(0(1(1(2(2(x0)))))))) → 1(2(1(2(0(2(1(2(x0))))))))
2(2(0(0(1(0(1(0(0(x0))))))))) → 1(0(1(1(2(1(2(1(2(0(x0))))))))))
2(1(0(1(1(0(2(0(0(1(x0)))))))))) → 2(0(1(2(1(1(1(2(0(0(1(x0)))))))))))
0(2(0(0(0(1(0(0(0(1(2(x0))))))))))) → 1(0(2(0(2(1(0(0(1(2(1(2(x0))))))))))))
0(0(0(1(1(2(0(0(2(1(1(1(0(x0))))))))))))) → 1(1(0(2(2(2(1(1(2(2(2(1(1(1(x0))))))))))))))
0(0(1(2(0(2(2(0(0(2(2(0(2(x0))))))))))))) → 1(2(2(1(0(2(0(2(1(2(1(2(1(1(x0))))))))))))))
0(0(1(0(1(0(0(1(1(0(0(0(1(0(x0)))))))))))))) → 2(2(1(2(1(1(2(1(1(1(2(1(2(0(2(0(2(x0)))))))))))))))))
0(2(2(0(0(1(2(2(0(0(2(0(2(2(x0)))))))))))))) → 0(1(0(2(1(2(1(2(2(1(2(1(0(2(0(x0)))))))))))))))
2(2(0(2(0(0(0(2(1(0(0(2(1(0(0(x0))))))))))))))) → 2(2(1(2(1(2(2(1(2(0(0(0(2(2(0(0(x0))))))))))))))))
2(2(2(2(0(1(0(0(1(0(1(2(0(1(0(0(2(x0))))))))))))))))) → 1(2(1(0(2(1(2(2(0(1(0(1(2(1(1(1(0(0(x0))))))))))))))))))
1(0(1(2(2(0(1(0(0(2(2(2(0(2(2(1(1(2(0(x0))))))))))))))))))) → 2(0(0(2(0(0(2(2(0(1(1(2(1(0(2(2(2(1(1(x0)))))))))))))))))))
1(0(0(2(1(2(1(0(2(2(0(0(2(2(2(0(2(0(0(0(x0)))))))))))))))))))) → 2(2(2(1(2(1(2(1(0(2(1(2(0(2(1(1(1(1(2(0(2(2(x0))))))))))))))))))))))
2(0(2(2(2(2(2(2(1(2(1(0(0(2(2(2(2(0(1(2(x0)))))))))))))))))))) → 2(1(2(1(1(2(2(1(2(2(2(1(1(2(1(2(0(1(1(2(0(x0)))))))))))))))))))))
2(1(2(1(1(2(2(0(2(2(1(2(2(1(1(1(2(1(0(0(1(x0))))))))))))))))))))) → 2(2(0(1(0(2(2(0(1(2(2(2(1(1(1(2(1(1(2(1(1(x0)))))))))))))))))))))
2(2(2(1(0(1(0(2(2(0(1(2(2(0(0(1(1(1(0(1(1(x0))))))))))))))))))))) → 1(0(0(1(2(2(2(1(0(0(0(0(0(0(1(0(1(2(1(2(1(1(x0))))))))))))))))))))))
1(0(0(1(2(2(2(0(0(0(1(0(1(1(0(0(2(0(0(0(0(0(x0)))))))))))))))))))))) → 2(1(2(1(2(0(2(0(2(1(2(1(1(0(0(1(1(1(0(1(1(2(2(2(x0))))))))))))))))))))))))
0(2(0(2(2(1(1(0(0(2(0(0(1(0(2(2(1(2(0(0(0(2(2(x0))))))))))))))))))))))) → 2(0(2(2(2(1(2(2(2(0(2(1(2(1(0(1(2(2(0(1(0(0(2(2(x0))))))))))))))))))))))))
0(0(0(2(2(0(1(1(2(0(1(1(0(2(2(1(0(1(2(2(1(0(0(1(x0)))))))))))))))))))))))) → 1(1(0(1(0(1(1(1(2(1(2(1(1(2(0(0(2(0(1(0(2(2(1(2(1(x0)))))))))))))))))))))))))
2(0(0(2(2(1(0(1(0(1(1(1(0(2(0(2(1(2(1(0(0(1(1(1(x0)))))))))))))))))))))))) → 2(2(0(1(0(1(2(1(0(2(1(1(0(0(2(2(0(1(0(2(1(2(1(1(1(x0)))))))))))))))))))))))))
2(2(0(2(2(0(0(2(2(1(1(2(0(0(0(1(2(1(0(2(2(0(2(2(x0)))))))))))))))))))))))) → 1(0(2(1(2(1(2(2(2(0(1(2(1(2(1(2(2(1(0(1(2(0(1(2(2(2(x0))))))))))))))))))))))))))
0(1(1(1(0(2(1(1(1(1(2(2(2(0(0(1(1(0(1(0(0(0(1(0(2(x0))))))))))))))))))))))))) → 0(0(1(2(0(0(2(1(2(2(2(1(1(1(2(1(2(1(2(0(1(2(1(0(2(1(2(1(x0))))))))))))))))))))))))))))
0(0(2(2(1(0(2(1(1(0(0(0(2(1(1(0(2(0(1(1(1(2(0(2(2(0(x0)))))))))))))))))))))))))) → 1(2(1(2(1(1(2(1(1(2(1(0(2(2(0(1(0(0(0(2(0(0(1(2(0(2(1(x0)))))))))))))))))))))))))))
0(0(1(0(1(2(1(2(0(0(2(0(1(0(0(2(0(1(1(2(1(0(2(2(0(0(1(x0))))))))))))))))))))))))))) → 2(2(2(0(0(1(1(1(2(2(0(1(0(2(1(2(2(2(1(2(1(1(2(2(0(0(1(1(x0))))))))))))))))))))))))))))
2(1(0(0(0(1(0(2(2(1(1(1(2(2(2(2(2(1(1(0(1(0(1(1(2(0(0(x0))))))))))))))))))))))))))) → 1(1(1(1(2(2(2(2(0(1(0(2(0(1(2(2(2(1(2(1(1(2(1(1(2(0(1(1(x0))))))))))))))))))))))))))))
0(2(1(2(0(1(1(0(0(0(0(0(2(2(1(2(0(0(1(2(1(2(0(1(0(1(2(2(x0)))))))))))))))))))))))))))) → 1(2(1(1(1(0(1(2(0(2(1(2(1(2(1(0(2(0(1(0(0(2(1(1(2(1(1(0(2(x0)))))))))))))))))))))))))))))
0(1(1(1(1(2(0(1(1(1(2(1(2(0(1(0(2(0(1(0(1(1(0(1(2(1(0(0(0(x0))))))))))))))))))))))))))))) → 1(2(0(0(1(2(1(2(0(2(1(0(1(2(1(2(0(2(1(2(1(0(1(2(1(0(1(1(2(0(1(x0)))))))))))))))))))))))))))))))
1(0(1(2(0(1(1(0(2(0(0(1(1(2(2(0(1(1(1(1(1(2(1(0(1(0(2(0(2(x0))))))))))))))))))))))))))))) → 2(0(0(2(0(1(0(2(0(0(0(0(1(1(2(1(0(1(2(1(1(2(1(2(0(2(2(0(0(1(x0))))))))))))))))))))))))))))))
2(1(0(2(1(1(2(1(0(0(2(0(1(2(2(0(0(1(1(0(2(0(0(2(1(0(1(2(2(x0))))))))))))))))))))))))))))) → 2(0(2(0(2(0(2(0(2(1(2(0(1(1(2(0(1(1(2(1(2(1(0(0(1(0(0(2(2(1(x0))))))))))))))))))))))))))))))
0(0(2(0(1(2(2(0(1(0(0(2(1(1(0(2(2(1(0(1(1(2(1(0(0(1(0(2(0(1(x0)))))))))))))))))))))))))))))) → 1(2(1(1(1(2(2(1(2(2(0(0(1(1(0(1(2(2(2(2(0(2(0(0(2(1(2(1(2(0(0(1(x0))))))))))))))))))))))))))))))))
0(0(2(1(0(2(1(1(0(0(2(2(1(2(1(0(1(0(1(2(0(1(0(0(2(0(2(2(2(1(x0)))))))))))))))))))))))))))))) → 0(0(0(1(2(0(2(1(0(2(2(0(2(2(0(1(2(1(1(1(0(1(2(0(2(0(0(2(1(1(x0))))))))))))))))))))))))))))))
0(2(2(2(0(0(1(0(1(0(0(2(1(1(1(1(0(1(1(1(1(1(0(0(1(0(0(1(0(1(x0)))))))))))))))))))))))))))))) → 1(2(1(1(2(1(0(1(1(0(1(1(0(2(1(2(2(0(1(2(0(0(2(1(0(1(0(1(1(2(1(1(x0))))))))))))))))))))))))))))))))
2(1(0(2(0(0(0(2(2(0(2(2(2(1(0(0(2(1(1(1(1(1(2(2(0(1(0(0(2(2(x0)))))))))))))))))))))))))))))) → 1(2(1(2(1(2(0(0(2(0(1(2(1(2(2(1(1(2(1(2(1(0(2(2(0(2(0(1(2(2(2(x0)))))))))))))))))))))))))))))))
0(2(0(1(0(0(0(2(1(1(0(2(2(1(1(2(2(2(1(0(0(1(0(0(1(0(0(0(0(2(0(0(x0)))))))))))))))))))))))))))))))) → 1(1(2(1(2(0(0(0(1(0(2(1(2(0(1(2(2(1(0(0(0(2(0(0(0(1(0(2(0(1(2(1(2(0(x0))))))))))))))))))))))))))))))))))
2(2(0(2(0(1(2(0(0(1(2(2(1(1(1(1(2(2(1(2(2(2(2(2(2(1(0(1(1(2(2(2(x0)))))))))))))))))))))))))))))))) → 1(1(2(1(1(1(0(1(1(0(1(2(2(0(1(2(1(1(0(0(1(2(0(2(1(1(0(2(0(1(0(0(1(x0)))))))))))))))))))))))))))))))))
2(2(1(0(1(1(0(1(0(1(0(1(0(2(1(0(2(0(0(0(0(0(2(0(0(0(2(0(0(2(0(0(x0)))))))))))))))))))))))))))))))) → 2(1(1(0(2(2(1(0(1(2(1(2(1(2(1(1(2(1(1(1(2(0(2(1(2(0(1(0(1(0(1(2(0(0(x0))))))))))))))))))))))))))))))))))
2(2(2(2(0(2(2(0(1(2(1(1(0(1(0(2(2(0(1(1(0(2(0(1(1(1(2(2(2(0(0(0(x0)))))))))))))))))))))))))))))))) → 1(2(0(2(0(2(1(2(0(0(2(2(1(0(2(1(2(1(2(1(1(0(0(2(0(2(1(1(0(1(1(2(1(1(x0))))))))))))))))))))))))))))))))))
0(0(0(0(0(0(2(0(1(1(0(2(2(2(2(0(0(0(0(2(0(0(0(0(0(2(2(1(1(2(0(0(2(x0))))))))))))))))))))))))))))))))) → 1(2(0(1(0(2(1(1(2(2(1(2(1(2(0(0(0(0(1(2(1(1(2(1(2(2(2(0(1(2(2(2(1(0(x0))))))))))))))))))))))))))))))))))
2(0(0(1(0(2(0(1(1(0(0(2(2(0(0(1(0(2(2(2(1(0(1(1(1(1(1(0(1(1(0(0(2(x0))))))))))))))))))))))))))))))))) → 2(0(0(0(2(1(1(0(2(1(1(0(0(1(2(1(1(2(2(0(1(2(1(2(2(0(2(1(0(1(2(2(2(2(x0))))))))))))))))))))))))))))))))))
0(0(0(2(2(0(2(1(1(1(1(0(1(0(1(0(2(2(0(2(1(0(1(0(0(2(0(2(2(1(0(2(1(2(x0)))))))))))))))))))))))))))))))))) → 2(1(2(2(0(0(2(0(0(1(1(1(0(2(0(1(2(0(0(0(1(2(1(1(1(2(1(0(0(1(2(0(2(1(2(x0)))))))))))))))))))))))))))))))))))
0(1(2(2(1(2(1(1(0(0(1(0(0(1(1(0(1(0(2(2(0(1(0(0(1(2(0(2(0(1(1(1(0(2(x0)))))))))))))))))))))))))))))))))) → 0(1(1(1(1(0(0(0(1(2(0(0(1(1(1(0(0(0(2(0(0(1(1(2(1(2(2(2(1(1(0(2(0(2(x0))))))))))))))))))))))))))))))))))
2(0(1(1(2(2(0(2(0(2(1(1(1(1(0(0(2(0(0(0(1(2(2(2(1(0(0(2(2(2(0(2(0(2(x0)))))))))))))))))))))))))))))))))) → 1(1(0(1(2(1(2(1(1(2(2(1(0(1(0(2(1(2(2(1(0(0(1(0(0(1(2(0(0(1(2(1(2(2(0(1(x0))))))))))))))))))))))))))))))))))))
0(0(2(2(1(1(1(1(1(2(0(1(2(0(2(2(0(2(1(1(0(2(2(2(0(2(1(1(2(1(0(0(0(0(1(x0))))))))))))))))))))))))))))))))))) → 1(1(1(0(0(2(1(1(2(0(1(2(0(1(1(0(1(0(0(0(2(0(0(1(2(1(1(0(0(1(0(1(2(1(2(1(x0))))))))))))))))))))))))))))))))))))
2(0(0(2(0(1(0(2(0(0(2(2(2(0(0(2(2(2(1(0(0(1(2(2(0(1(0(0(1(2(2(1(0(2(1(0(x0)))))))))))))))))))))))))))))))))))) → 1(0(2(2(1(2(1(2(1(2(0(2(1(2(2(1(2(2(2(1(2(2(1(2(1(1(0(1(0(2(1(0(1(1(0(0(1(2(x0))))))))))))))))))))))))))))))))))))))
1(1(1(1(0(0(0(0(1(1(1(0(2(1(0(0(0(1(0(0(0(0(2(0(1(2(2(1(2(2(1(1(1(2(1(0(2(x0))))))))))))))))))))))))))))))))))))) → 1(1(1(0(2(0(0(0(2(0(0(0(0(0(1(0(2(0(0(2(1(2(1(2(2(2(2(2(1(1(1(1(1(2(0(2(0(1(2(x0)))))))))))))))))))))))))))))))))))))))
0(0(0(2(2(2(1(2(1(1(2(0(0(0(0(1(2(2(1(1(1(0(0(2(0(0(1(0(0(0(1(2(1(2(0(0(1(0(x0)))))))))))))))))))))))))))))))))))))) → 1(2(1(1(1(2(1(1(0(0(1(1(1(0(0(0(2(0(2(0(0(1(1(2(1(2(1(1(2(2(1(1(2(2(2(2(0(2(2(x0)))))))))))))))))))))))))))))))))))))))
0(0(2(1(1(0(2(2(1(0(1(2(1(2(2(0(2(1(1(0(0(1(0(2(0(0(2(2(0(1(1(1(1(0(1(0(1(0(x0)))))))))))))))))))))))))))))))))))))) → 0(2(1(2(2(1(0(1(2(1(2(1(1(1(1(2(2(1(2(2(0(0(2(1(2(0(2(1(0(1(1(2(2(0(0(0(2(2(1(x0)))))))))))))))))))))))))))))))))))))))
0(2(2(1(2(0(0(1(0(2(2(1(0(1(2(0(1(1(0(1(0(2(2(0(0(0(1(2(2(0(1(1(0(0(0(2(0(2(x0)))))))))))))))))))))))))))))))))))))) → 1(1(1(2(2(0(1(1(2(2(1(0(1(2(1(0(0(0(1(1(0(1(2(1(2(1(0(2(1(2(0(1(2(1(1(1(2(0(1(x0)))))))))))))))))))))))))))))))))))))))
0(0(0(1(1(2(2(1(1(1(2(0(0(2(2(2(1(1(2(0(0(0(0(0(0(1(0(2(1(0(0(2(1(1(2(1(0(0(2(x0))))))))))))))))))))))))))))))))))))))) → 2(2(1(2(1(1(2(1(0(1(2(0(2(0(2(0(1(2(1(2(1(1(0(0(0(0(0(2(1(2(2(2(1(2(1(0(1(0(1(0(1(2(x0))))))))))))))))))))))))))))))))))))))))))
0(1(0(2(0(2(0(0(2(1(0(1(0(0(1(0(0(2(1(1(0(2(2(1(0(2(0(1(2(2(2(0(0(2(2(0(1(0(2(x0))))))))))))))))))))))))))))))))))))))) → 0(1(2(1(1(2(0(2(0(2(1(1(1(2(0(0(0(2(2(2(2(1(2(0(1(1(2(1(2(0(0(0(1(0(2(2(2(1(1(0(0(x0)))))))))))))))))))))))))))))))))))))))))
0(1(0(2(1(0(1(0(1(0(1(1(1(0(0(1(0(1(0(0(2(1(0(1(0(0(0(1(1(0(2(2(2(1(1(0(2(0(0(x0))))))))))))))))))))))))))))))))))))))) → 2(1(0(2(2(2(0(0(2(1(2(2(2(2(2(2(2(1(0(0(0(2(1(1(2(1(1(2(1(0(1(1(1(2(0(2(1(1(2(2(0(x0)))))))))))))))))))))))))))))))))))))))))
0(1(2(1(2(2(1(2(0(1(1(1(0(0(2(0(1(0(1(0(1(1(2(0(0(1(0(0(1(0(0(0(1(2(0(2(1(0(0(x0))))))))))))))))))))))))))))))))))))))) → 1(0(2(2(1(2(1(2(2(0(0(0(1(0(0(0(2(0(2(2(1(0(1(2(0(2(1(0(1(1(2(0(2(2(1(2(1(2(1(2(0(x0)))))))))))))))))))))))))))))))))))))))))
0(2(2(2(2(2(2(0(2(1(1(1(0(1(1(0(1(2(2(1(0(2(2(0(2(0(1(1(1(2(2(2(2(2(1(0(0(1(0(x0))))))))))))))))))))))))))))))))))))))) → 0(0(0(0(2(1(2(1(2(2(0(0(2(1(2(1(2(2(1(2(1(0(0(0(1(1(0(1(0(0(1(0(0(0(1(1(0(1(1(2(x0))))))))))))))))))))))))))))))))))))))))
1(0(1(1(1(0(1(2(1(2(2(1(0(2(0(1(0(1(1(1(1(1(2(0(0(1(1(2(2(0(2(0(0(0(2(0(0(0(0(x0))))))))))))))))))))))))))))))))))))))) → 2(1(2(1(1(1(2(1(1(2(1(2(1(0(0(1(1(2(1(1(0(0(1(1(2(2(1(0(0(0(0(0(1(0(0(1(0(2(2(2(x0))))))))))))))))))))))))))))))))))))))))
0(1(0(1(1(1(1(1(0(0(1(0(1(1(2(0(2(2(0(2(2(2(2(0(0(0(1(1(1(1(2(2(2(2(1(2(0(1(2(2(2(x0))))))))))))))))))))))))))))))))))))))))) → 1(2(0(2(0(0(2(1(2(2(2(0(1(1(2(1(2(1(1(2(2(2(1(2(0(1(2(0(2(1(0(0(2(2(0(1(0(0(0(2(1(1(0(x0)))))))))))))))))))))))))))))))))))))))))))
0(0(2(2(1(1(0(2(2(0(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(0(2(0(2(0(0(1(0(0(1(1(2(2(2(2(2(x0)))))))))))))))))))))))))))))))))))))))))) → 2(0(0(0(2(2(2(0(0(1(0(0(2(1(2(1(0(2(1(1(0(2(2(0(2(2(0(0(2(1(1(0(0(1(2(1(1(1(1(0(2(1(0(x0)))))))))))))))))))))))))))))))))))))))))))
0(0(2(0(0(2(0(0(2(1(0(0(0(0(0(1(1(0(0(2(1(0(2(2(1(0(2(1(1(0(2(0(2(1(1(2(0(1(1(0(1(2(2(x0))))))))))))))))))))))))))))))))))))))))))) → 0(2(1(1(0(1(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(2(0(1(1(0(2(1(2(1(2(1(1(1(1(1(1(2(0(0(0(1(2(1(x0))))))))))))))))))))))))))))))))))))))))))))
0(1(1(0(1(2(0(0(0(2(1(0(1(2(0(1(0(2(2(1(0(0(0(1(1(0(2(1(1(2(2(0(2(2(0(2(0(2(1(1(0(0(1(x0))))))))))))))))))))))))))))))))))))))))))) → 1(1(2(0(1(2(0(1(2(1(1(1(2(1(2(2(1(0(2(0(0(2(0(2(1(2(2(0(1(1(1(0(1(2(0(2(1(2(1(2(0(0(1(0(1(1(x0))))))))))))))))))))))))))))))))))))))))))))))
0(2(2(1(1(1(0(0(0(1(0(2(1(0(0(0(0(1(0(1(1(0(2(2(1(2(2(0(0(2(2(1(0(2(0(1(2(2(0(1(2(0(2(x0))))))))))))))))))))))))))))))))))))))))))) → 1(0(2(2(2(0(1(2(1(2(1(1(0(1(0(0(0(1(1(1(2(2(1(2(1(1(1(2(0(1(1(2(1(2(2(1(0(1(1(2(1(0(2(2(1(x0)))))))))))))))))))))))))))))))))))))))))))))
2(0(2(1(1(1(2(2(1(1(2(2(0(0(0(1(1(0(1(0(2(2(2(0(2(1(2(1(0(0(0(0(1(2(2(0(1(2(0(1(1(2(2(x0))))))))))))))))))))))))))))))))))))))))))) → 2(0(2(1(2(1(2(2(2(1(0(0(2(1(2(0(2(0(1(2(1(1(0(0(2(1(1(1(0(0(1(0(2(2(0(0(0(2(2(1(1(2(1(x0)))))))))))))))))))))))))))))))))))))))))))
0(0(0(1(1(1(2(1(1(1(2(2(0(1(2(0(2(2(1(0(2(1(1(2(1(0(0(2(1(2(1(1(0(1(2(2(2(2(1(0(2(1(0(1(x0)))))))))))))))))))))))))))))))))))))))))))) → 2(1(0(0(1(0(0(2(0(1(2(1(2(1(2(0(1(1(0(2(2(2(0(0(1(0(2(0(2(1(1(0(1(2(2(2(1(1(2(2(2(1(2(2(1(x0)))))))))))))))))))))))))))))))))))))))))))))
0(1(0(2(1(1(0(0(1(1(2(1(2(0(0(1(0(2(0(2(0(1(2(0(2(0(1(0(1(0(0(0(2(1(2(0(0(0(0(2(2(0(0(2(x0)))))))))))))))))))))))))))))))))))))))))))) → 1(1(1(2(1(2(0(2(1(1(1(2(1(2(1(2(0(0(1(0(2(2(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(1(1(0(1(1(2(1(2(1(0(x0))))))))))))))))))))))))))))))))))))))))))))))))
0(1(0(2(1(2(2(0(2(2(2(0(1(2(0(0(1(2(2(0(0(0(0(2(1(0(2(2(2(0(1(0(1(1(2(1(2(0(0(1(1(0(1(1(0(x0))))))))))))))))))))))))))))))))))))))))))))) → 0(0(2(2(1(0(2(2(1(2(1(2(1(2(1(2(1(1(0(1(0(2(1(0(1(2(1(1(0(2(2(2(2(2(1(0(2(0(0(0(0(0(1(1(1(2(x0))))))))))))))))))))))))))))))))))))))))))))))
2(0(0(0(1(1(0(2(2(2(1(1(1(0(2(1(0(1(1(0(0(1(1(2(1(0(0(0(1(1(0(2(2(0(0(0(1(0(1(1(0(0(2(2(0(x0))))))))))))))))))))))))))))))))))))))))))))) → 2(1(0(1(0(2(2(2(1(2(1(2(1(1(1(1(0(2(2(2(2(1(2(2(0(2(0(1(0(0(1(0(0(1(1(2(0(1(2(2(2(0(1(0(1(0(x0))))))))))))))))))))))))))))))))))))))))))))))
2(1(2(1(0(0(0(0(1(0(0(2(0(1(0(2(2(1(0(1(2(2(0(0(2(0(0(1(0(2(1(1(0(0(2(1(0(1(0(2(1(0(1(0(2(x0))))))))))))))))))))))))))))))))))))))))))))) → 1(2(2(0(2(0(2(1(0(1(0(2(0(2(2(1(2(2(2(2(0(0(1(0(2(1(0(1(2(1(2(2(2(0(0(2(1(2(1(1(1(0(0(0(2(1(x0))))))))))))))))))))))))))))))))))))))))))))))
0(1(2(2(2(1(0(1(1(0(0(2(2(1(0(2(0(2(0(1(2(0(1(1(0(2(0(0(1(0(2(0(0(1(0(2(1(2(0(0(2(1(0(2(1(0(x0)))))))))))))))))))))))))))))))))))))))))))))) → 2(1(2(0(1(0(2(1(1(0(2(1(1(2(1(0(2(2(2(1(2(0(0(1(2(1(1(1(1(2(0(1(0(1(2(0(2(0(0(0(2(1(2(2(2(1(2(x0)))))))))))))))))))))))))))))))))))))))))))))))
2(0(1(1(1(0(2(0(2(1(0(2(0(2(1(2(0(2(2(1(1(1(1(0(1(0(1(2(2(0(2(1(0(1(0(0(0(0(0(0(1(0(0(1(2(2(x0)))))))))))))))))))))))))))))))))))))))))))))) → 1(2(0(2(0(1(0(2(1(2(1(1(2(1(2(2(2(2(0(2(1(0(2(2(0(1(2(0(1(1(1(1(0(2(2(0(2(2(1(0(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))))
2(2(2(2(0(0(2(1(0(0(2(0(0(1(0(1(2(2(1(0(0(2(0(0(2(0(2(0(1(0(2(2(2(0(0(1(0(0(0(0(1(2(2(0(0(0(x0)))))))))))))))))))))))))))))))))))))))))))))) → 2(2(1(1(0(0(2(1(1(2(1(1(2(0(2(1(2(0(1(2(0(2(0(0(2(1(2(2(1(1(0(0(2(1(0(0(1(2(1(2(2(2(2(1(0(2(2(1(x0))))))))))))))))))))))))))))))))))))))))))))))))
0(0(1(0(2(2(2(2(0(1(1(0(0(0(2(2(0(0(1(0(0(2(0(1(0(1(0(0(0(2(0(2(2(2(0(0(2(1(1(2(1(0(2(2(0(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))) → 1(2(2(1(2(1(1(0(2(1(0(0(1(0(0(2(2(2(1(2(0(2(2(1(1(2(0(1(1(2(2(1(0(1(1(0(2(0(0(2(1(2(1(1(2(0(0(0(2(x0)))))))))))))))))))))))))))))))))))))))))))))))))
0(1(0(2(1(2(2(1(0(2(1(2(2(0(0(2(0(1(1(1(1(1(1(2(0(1(1(0(0(1(0(1(1(1(0(2(2(2(0(0(2(1(1(0(0(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))) → 1(2(0(0(2(1(2(2(1(1(0(1(2(2(0(1(0(1(2(1(1(2(1(1(1(1(0(2(2(2(1(0(2(1(1(1(1(2(2(0(2(0(2(2(2(0(2(0(2(x0)))))))))))))))))))))))))))))))))))))))))))))))))
0(2(0(1(1(1(0(1(1(0(2(0(0(0(1(1(0(1(1(2(2(2(2(0(0(1(0(0(1(0(1(0(0(0(1(0(2(2(2(2(1(1(1(0(0(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))) → 2(1(2(1(1(1(1(0(2(0(1(2(0(2(0(1(1(0(2(0(1(1(1(2(1(1(1(2(1(2(0(1(1(1(1(1(0(0(0(2(0(0(1(0(1(2(2(1(x0))))))))))))))))))))))))))))))))))))))))))))))))
0(2(2(1(2(2(2(2(1(0(1(1(0(0(2(0(2(2(2(1(0(1(1(2(2(0(1(1(0(0(0(2(1(2(0(2(0(1(0(0(2(0(1(2(2(0(1(0(x0)))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(2(0(2(2(2(2(0(1(1(0(2(1(0(0(1(1(1(2(0(1(1(1(1(0(2(2(2(2(1(1(2(1(0(0(2(2(2(2(2(2(2(2(2(1(2(1(1(x0)))))))))))))))))))))))))))))))))))))))))))))))))
0(1(0(0(1(2(2(0(0(1(0(1(0(0(0(1(0(2(2(2(0(2(2(2(1(2(1(0(0(2(1(0(2(2(2(1(0(0(2(1(0(2(1(2(0(1(1(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))))) → 0(1(2(0(0(0(2(0(2(0(1(1(1(0(0(1(0(2(2(1(2(0(2(2(1(0(0(0(2(2(2(0(2(1(2(1(0(0(2(1(0(2(1(0(1(2(1(2(2(x0)))))))))))))))))))))))))))))))))))))))))))))))))
1(0(2(2(1(2(0(2(0(1(0(1(2(0(0(2(1(2(1(0(1(2(2(0(2(2(0(2(0(1(0(0(2(1(2(2(2(2(1(0(2(0(0(0(2(2(0(1(1(x0))))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(2(2(2(0(1(2(2(0(0(0(1(0(1(2(2(2(0(1(0(2(0(2(0(2(1(1(0(1(1(0(1(0(2(1(1(2(1(2(2(2(0(1(2(0(0(2(1(1(x0))))))))))))))))))))))))))))))))))))))))))))))))))
1(0(0(1(1(0(0(1(0(0(2(1(1(2(1(2(2(1(2(2(0(1(2(2(0(0(2(2(1(1(1(0(0(0(2(1(0(1(2(0(2(0(2(0(0(2(1(1(0(2(x0)))))))))))))))))))))))))))))))))))))))))))))))))) → 1(2(1(1(1(0(0(0(0(0(1(2(1(2(1(2(2(0(2(2(0(0(0(0(0(2(2(0(2(1(1(1(0(1(0(1(0(1(2(0(1(2(1(2(2(2(1(0(0(2(x0))))))))))))))))))))))))))))))))))))))))))))))))))

Proof

1 Termination Assumption

We assume termination of the following TRS
0(1(0(1(2(0(2(2(x0)))))))) → 1(2(0(2(0(1(2(0(x0))))))))
1(2(2(0(1(1(2(2(x0)))))))) → 1(2(1(2(0(2(1(2(x0))))))))
2(2(0(0(1(0(1(0(0(x0))))))))) → 1(0(1(1(2(1(2(1(2(0(x0))))))))))
2(1(0(1(1(0(2(0(0(1(x0)))))))))) → 2(0(1(2(1(1(1(2(0(0(1(x0)))))))))))
0(2(0(0(0(1(0(0(0(1(2(x0))))))))))) → 1(0(2(0(2(1(0(0(1(2(1(2(x0))))))))))))
0(0(0(1(1(2(0(0(2(1(1(1(0(x0))))))))))))) → 1(1(0(2(2(2(1(1(2(2(2(1(1(1(x0))))))))))))))
0(0(1(2(0(2(2(0(0(2(2(0(2(x0))))))))))))) → 1(2(2(1(0(2(0(2(1(2(1(2(1(1(x0))))))))))))))
0(0(1(0(1(0(0(1(1(0(0(0(1(0(x0)))))))))))))) → 2(2(1(2(1(1(2(1(1(1(2(1(2(0(2(0(2(x0)))))))))))))))))
0(2(2(0(0(1(2(2(0(0(2(0(2(2(x0)))))))))))))) → 0(1(0(2(1(2(1(2(2(1(2(1(0(2(0(x0)))))))))))))))
2(2(0(2(0(0(0(2(1(0(0(2(1(0(0(x0))))))))))))))) → 2(2(1(2(1(2(2(1(2(0(0(0(2(2(0(0(x0))))))))))))))))
2(2(2(2(0(1(0(0(1(0(1(2(0(1(0(0(2(x0))))))))))))))))) → 1(2(1(0(2(1(2(2(0(1(0(1(2(1(1(1(0(0(x0))))))))))))))))))
1(0(1(2(2(0(1(0(0(2(2(2(0(2(2(1(1(2(0(x0))))))))))))))))))) → 2(0(0(2(0(0(2(2(0(1(1(2(1(0(2(2(2(1(1(x0)))))))))))))))))))
1(0(0(2(1(2(1(0(2(2(0(0(2(2(2(0(2(0(0(0(x0)))))))))))))))))))) → 2(2(2(1(2(1(2(1(0(2(1(2(0(2(1(1(1(1(2(0(2(2(x0))))))))))))))))))))))
2(0(2(2(2(2(2(2(1(2(1(0(0(2(2(2(2(0(1(2(x0)))))))))))))))))))) → 2(1(2(1(1(2(2(1(2(2(2(1(1(2(1(2(0(1(1(2(0(x0)))))))))))))))))))))
2(1(2(1(1(2(2(0(2(2(1(2(2(1(1(1(2(1(0(0(1(x0))))))))))))))))))))) → 2(2(0(1(0(2(2(0(1(2(2(2(1(1(1(2(1(1(2(1(1(x0)))))))))))))))))))))
2(2(2(1(0(1(0(2(2(0(1(2(2(0(0(1(1(1(0(1(1(x0))))))))))))))))))))) → 1(0(0(1(2(2(2(1(0(0(0(0(0(0(1(0(1(2(1(2(1(1(x0))))))))))))))))))))))
1(0(0(1(2(2(2(0(0(0(1(0(1(1(0(0(2(0(0(0(0(0(x0)))))))))))))))))))))) → 2(1(2(1(2(0(2(0(2(1(2(1(1(0(0(1(1(1(0(1(1(2(2(2(x0))))))))))))))))))))))))
0(2(0(2(2(1(1(0(0(2(0(0(1(0(2(2(1(2(0(0(0(2(2(x0))))))))))))))))))))))) → 2(0(2(2(2(1(2(2(2(0(2(1(2(1(0(1(2(2(0(1(0(0(2(2(x0))))))))))))))))))))))))
0(0(0(2(2(0(1(1(2(0(1(1(0(2(2(1(0(1(2(2(1(0(0(1(x0)))))))))))))))))))))))) → 1(1(0(1(0(1(1(1(2(1(2(1(1(2(0(0(2(0(1(0(2(2(1(2(1(x0)))))))))))))))))))))))))
2(0(0(2(2(1(0(1(0(1(1(1(0(2(0(2(1(2(1(0(0(1(1(1(x0)))))))))))))))))))))))) → 2(2(0(1(0(1(2(1(0(2(1(1(0(0(2(2(0(1(0(2(1(2(1(1(1(x0)))))))))))))))))))))))))
2(2(0(2(2(0(0(2(2(1(1(2(0(0(0(1(2(1(0(2(2(0(2(2(x0)))))))))))))))))))))))) → 1(0(2(1(2(1(2(2(2(0(1(2(1(2(1(2(2(1(0(1(2(0(1(2(2(2(x0))))))))))))))))))))))))))
0(1(1(1(0(2(1(1(1(1(2(2(2(0(0(1(1(0(1(0(0(0(1(0(2(x0))))))))))))))))))))))))) → 0(0(1(2(0(0(2(1(2(2(2(1(1(1(2(1(2(1(2(0(1(2(1(0(2(1(2(1(x0))))))))))))))))))))))))))))
0(0(2(2(1(0(2(1(1(0(0(0(2(1(1(0(2(0(1(1(1(2(0(2(2(0(x0)))))))))))))))))))))))))) → 1(2(1(2(1(1(2(1(1(2(1(0(2(2(0(1(0(0(0(2(0(0(1(2(0(2(1(x0)))))))))))))))))))))))))))
0(0(1(0(1(2(1(2(0(0(2(0(1(0(0(2(0(1(1(2(1(0(2(2(0(0(1(x0))))))))))))))))))))))))))) → 2(2(2(0(0(1(1(1(2(2(0(1(0(2(1(2(2(2(1(2(1(1(2(2(0(0(1(1(x0))))))))))))))))))))))))))))
2(1(0(0(0(1(0(2(2(1(1(1(2(2(2(2(2(1(1(0(1(0(1(1(2(0(0(x0))))))))))))))))))))))))))) → 1(1(1(1(2(2(2(2(0(1(0(2(0(1(2(2(2(1(2(1(1(2(1(1(2(0(1(1(x0))))))))))))))))))))))))))))
0(2(1(2(0(1(1(0(0(0(0(0(2(2(1(2(0(0(1(2(1(2(0(1(0(1(2(2(x0)))))))))))))))))))))))))))) → 1(2(1(1(1(0(1(2(0(2(1(2(1(2(1(0(2(0(1(0(0(2(1(1(2(1(1(0(2(x0)))))))))))))))))))))))))))))
0(1(1(1(1(2(0(1(1(1(2(1(2(0(1(0(2(0(1(0(1(1(0(1(2(1(0(0(0(x0))))))))))))))))))))))))))))) → 1(2(0(0(1(2(1(2(0(2(1(0(1(2(1(2(0(2(1(2(1(0(1(2(1(0(1(1(2(0(1(x0)))))))))))))))))))))))))))))))
1(0(1(2(0(1(1(0(2(0(0(1(1(2(2(0(1(1(1(1(1(2(1(0(1(0(2(0(2(x0))))))))))))))))))))))))))))) → 2(0(0(2(0(1(0(2(0(0(0(0(1(1(2(1(0(1(2(1(1(2(1(2(0(2(2(0(0(1(x0))))))))))))))))))))))))))))))
2(1(0(2(1(1(2(1(0(0(2(0(1(2(2(0(0(1(1(0(2(0(0(2(1(0(1(2(2(x0))))))))))))))))))))))))))))) → 2(0(2(0(2(0(2(0(2(1(2(0(1(1(2(0(1(1(2(1(2(1(0(0(1(0(0(2(2(1(x0))))))))))))))))))))))))))))))
0(0(2(0(1(2(2(0(1(0(0(2(1(1(0(2(2(1(0(1(1(2(1(0(0(1(0(2(0(1(x0)))))))))))))))))))))))))))))) → 1(2(1(1(1(2(2(1(2(2(0(0(1(1(0(1(2(2(2(2(0(2(0(0(2(1(2(1(2(0(0(1(x0))))))))))))))))))))))))))))))))
0(0(2(1(0(2(1(1(0(0(2(2(1(2(1(0(1(0(1(2(0(1(0(0(2(0(2(2(2(1(x0)))))))))))))))))))))))))))))) → 0(0(0(1(2(0(2(1(0(2(2(0(2(2(0(1(2(1(1(1(0(1(2(0(2(0(0(2(1(1(x0))))))))))))))))))))))))))))))
0(2(2(2(0(0(1(0(1(0(0(2(1(1(1(1(0(1(1(1(1(1(0(0(1(0(0(1(0(1(x0)))))))))))))))))))))))))))))) → 1(2(1(1(2(1(0(1(1(0(1(1(0(2(1(2(2(0(1(2(0(0(2(1(0(1(0(1(1(2(1(1(x0))))))))))))))))))))))))))))))))
2(1(0(2(0(0(0(2(2(0(2(2(2(1(0(0(2(1(1(1(1(1(2(2(0(1(0(0(2(2(x0)))))))))))))))))))))))))))))) → 1(2(1(2(1(2(0(0(2(0(1(2(1(2(2(1(1(2(1(2(1(0(2(2(0(2(0(1(2(2(2(x0)))))))))))))))))))))))))))))))
0(2(0(1(0(0(0(2(1(1(0(2(2(1(1(2(2(2(1(0(0(1(0(0(1(0(0(0(0(2(0(0(x0)))))))))))))))))))))))))))))))) → 1(1(2(1(2(0(0(0(1(0(2(1(2(0(1(2(2(1(0(0(0(2(0(0(0(1(0(2(0(1(2(1(2(0(x0))))))))))))))))))))))))))))))))))
2(2(0(2(0(1(2(0(0(1(2(2(1(1(1(1(2(2(1(2(2(2(2(2(2(1(0(1(1(2(2(2(x0)))))))))))))))))))))))))))))))) → 1(1(2(1(1(1(0(1(1(0(1(2(2(0(1(2(1(1(0(0(1(2(0(2(1(1(0(2(0(1(0(0(1(x0)))))))))))))))))))))))))))))))))
2(2(1(0(1(1(0(1(0(1(0(1(0(2(1(0(2(0(0(0(0(0(2(0(0(0(2(0(0(2(0(0(x0)))))))))))))))))))))))))))))))) → 2(1(1(0(2(2(1(0(1(2(1(2(1(2(1(1(2(1(1(1(2(0(2(1(2(0(1(0(1(0(1(2(0(0(x0))))))))))))))))))))))))))))))))))
2(2(2(2(0(2(2(0(1(2(1(1(0(1(0(2(2(0(1(1(0(2(0(1(1(1(2(2(2(0(0(0(x0)))))))))))))))))))))))))))))))) → 1(2(0(2(0(2(1(2(0(0(2(2(1(0(2(1(2(1(2(1(1(0(0(2(0(2(1(1(0(1(1(2(1(1(x0))))))))))))))))))))))))))))))))))
0(0(0(0(0(0(2(0(1(1(0(2(2(2(2(0(0(0(0(2(0(0(0(0(0(2(2(1(1(2(0(0(2(x0))))))))))))))))))))))))))))))))) → 1(2(0(1(0(2(1(1(2(2(1(2(1(2(0(0(0(0(1(2(1(1(2(1(2(2(2(0(1(2(2(2(1(0(x0))))))))))))))))))))))))))))))))))
2(0(0(1(0(2(0(1(1(0(0(2(2(0(0(1(0(2(2(2(1(0(1(1(1(1(1(0(1(1(0(0(2(x0))))))))))))))))))))))))))))))))) → 2(0(0(0(2(1(1(0(2(1(1(0(0(1(2(1(1(2(2(0(1(2(1(2(2(0(2(1(0(1(2(2(2(2(x0))))))))))))))))))))))))))))))))))
0(0(0(2(2(0(2(1(1(1(1(0(1(0(1(0(2(2(0(2(1(0(1(0(0(2(0(2(2(1(0(2(1(2(x0)))))))))))))))))))))))))))))))))) → 2(1(2(2(0(0(2(0(0(1(1(1(0(2(0(1(2(0(0(0(1(2(1(1(1(2(1(0(0(1(2(0(2(1(2(x0)))))))))))))))))))))))))))))))))))
0(1(2(2(1(2(1(1(0(0(1(0(0(1(1(0(1(0(2(2(0(1(0(0(1(2(0(2(0(1(1(1(0(2(x0)))))))))))))))))))))))))))))))))) → 0(1(1(1(1(0(0(0(1(2(0(0(1(1(1(0(0(0(2(0(0(1(1(2(1(2(2(2(1(1(0(2(0(2(x0))))))))))))))))))))))))))))))))))
2(0(1(1(2(2(0(2(0(2(1(1(1(1(0(0(2(0(0(0(1(2(2(2(1(0(0(2(2(2(0(2(0(2(x0)))))))))))))))))))))))))))))))))) → 1(1(0(1(2(1(2(1(1(2(2(1(0(1(0(2(1(2(2(1(0(0(1(0(0(1(2(0(0(1(2(1(2(2(0(1(x0))))))))))))))))))))))))))))))))))))
0(0(2(2(1(1(1(1(1(2(0(1(2(0(2(2(0(2(1(1(0(2(2(2(0(2(1(1(2(1(0(0(0(0(1(x0))))))))))))))))))))))))))))))))))) → 1(1(1(0(0(2(1(1(2(0(1(2(0(1(1(0(1(0(0(0(2(0(0(1(2(1(1(0(0(1(0(1(2(1(2(1(x0))))))))))))))))))))))))))))))))))))
2(0(0(2(0(1(0(2(0(0(2(2(2(0(0(2(2(2(1(0(0(1(2(2(0(1(0(0(1(2(2(1(0(2(1(0(x0)))))))))))))))))))))))))))))))))))) → 1(0(2(2(1(2(1(2(1(2(0(2(1(2(2(1(2(2(2(1(2(2(1(2(1(1(0(1(0(2(1(0(1(1(0(0(1(2(x0))))))))))))))))))))))))))))))))))))))
1(1(1(1(0(0(0(0(1(1(1(0(2(1(0(0(0(1(0(0(0(0(2(0(1(2(2(1(2(2(1(1(1(2(1(0(2(x0))))))))))))))))))))))))))))))))))))) → 1(1(1(0(2(0(0(0(2(0(0(0(0(0(1(0(2(0(0(2(1(2(1(2(2(2(2(2(1(1(1(1(1(2(0(2(0(1(2(x0)))))))))))))))))))))))))))))))))))))))
0(0(0(2(2(2(1(2(1(1(2(0(0(0(0(1(2(2(1(1(1(0(0(2(0(0(1(0(0(0(1(2(1(2(0(0(1(0(x0)))))))))))))))))))))))))))))))))))))) → 1(2(1(1(1(2(1(1(0(0(1(1(1(0(0(0(2(0(2(0(0(1(1(2(1(2(1(1(2(2(1(1(2(2(2(2(0(2(2(x0)))))))))))))))))))))))))))))))))))))))
0(0(2(1(1(0(2(2(1(0(1(2(1(2(2(0(2(1(1(0(0(1(0(2(0(0(2(2(0(1(1(1(1(0(1(0(1(0(x0)))))))))))))))))))))))))))))))))))))) → 0(2(1(2(2(1(0(1(2(1(2(1(1(1(1(2(2(1(2(2(0(0(2(1(2(0(2(1(0(1(1(2(2(0(0(0(2(2(1(x0)))))))))))))))))))))))))))))))))))))))
0(2(2(1(2(0(0(1(0(2(2(1(0(1(2(0(1(1(0(1(0(2(2(0(0(0(1(2(2(0(1(1(0(0(0(2(0(2(x0)))))))))))))))))))))))))))))))))))))) → 1(1(1(2(2(0(1(1(2(2(1(0(1(2(1(0(0(0(1(1(0(1(2(1(2(1(0(2(1(2(0(1(2(1(1(1(2(0(1(x0)))))))))))))))))))))))))))))))))))))))
0(0(0(1(1(2(2(1(1(1(2(0(0(2(2(2(1(1(2(0(0(0(0(0(0(1(0(2(1(0(0(2(1(1(2(1(0(0(2(x0))))))))))))))))))))))))))))))))))))))) → 2(2(1(2(1(1(2(1(0(1(2(0(2(0(2(0(1(2(1(2(1(1(0(0(0(0(0(2(1(2(2(2(1(2(1(0(1(0(1(0(1(2(x0))))))))))))))))))))))))))))))))))))))))))
0(1(0(2(0(2(0(0(2(1(0(1(0(0(1(0(0(2(1(1(0(2(2(1(0(2(0(1(2(2(2(0(0(2(2(0(1(0(2(x0))))))))))))))))))))))))))))))))))))))) → 0(1(2(1(1(2(0(2(0(2(1(1(1(2(0(0(0(2(2(2(2(1(2(0(1(1(2(1(2(0(0(0(1(0(2(2(2(1(1(0(0(x0)))))))))))))))))))))))))))))))))))))))))
0(1(0(2(1(0(1(0(1(0(1(1(1(0(0(1(0(1(0(0(2(1(0(1(0(0(0(1(1(0(2(2(2(1(1(0(2(0(0(x0))))))))))))))))))))))))))))))))))))))) → 2(1(0(2(2(2(0(0(2(1(2(2(2(2(2(2(2(1(0(0(0(2(1(1(2(1(1(2(1(0(1(1(1(2(0(2(1(1(2(2(0(x0)))))))))))))))))))))))))))))))))))))))))
0(1(2(1(2(2(1(2(0(1(1(1(0(0(2(0(1(0(1(0(1(1(2(0(0(1(0(0(1(0(0(0(1(2(0(2(1(0(0(x0))))))))))))))))))))))))))))))))))))))) → 1(0(2(2(1(2(1(2(2(0(0(0(1(0(0(0(2(0(2(2(1(0(1(2(0(2(1(0(1(1(2(0(2(2(1(2(1(2(1(2(0(x0)))))))))))))))))))))))))))))))))))))))))
0(2(2(2(2(2(2(0(2(1(1(1(0(1(1(0(1(2(2(1(0(2(2(0(2(0(1(1(1(2(2(2(2(2(1(0(0(1(0(x0))))))))))))))))))))))))))))))))))))))) → 0(0(0(0(2(1(2(1(2(2(0(0(2(1(2(1(2(2(1(2(1(0(0(0(1(1(0(1(0(0(1(0(0(0(1(1(0(1(1(2(x0))))))))))))))))))))))))))))))))))))))))
1(0(1(1(1(0(1(2(1(2(2(1(0(2(0(1(0(1(1(1(1(1(2(0(0(1(1(2(2(0(2(0(0(0(2(0(0(0(0(x0))))))))))))))))))))))))))))))))))))))) → 2(1(2(1(1(1(2(1(1(2(1(2(1(0(0(1(1(2(1(1(0(0(1(1(2(2(1(0(0(0(0(0(1(0(0(1(0(2(2(2(x0))))))))))))))))))))))))))))))))))))))))
0(1(0(1(1(1(1(1(0(0(1(0(1(1(2(0(2(2(0(2(2(2(2(0(0(0(1(1(1(1(2(2(2(2(1(2(0(1(2(2(2(x0))))))))))))))))))))))))))))))))))))))))) → 1(2(0(2(0(0(2(1(2(2(2(0(1(1(2(1(2(1(1(2(2(2(1(2(0(1(2(0(2(1(0(0(2(2(0(1(0(0(0(2(1(1(0(x0)))))))))))))))))))))))))))))))))))))))))))
0(0(2(2(1(1(0(2(2(0(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(0(2(0(2(0(0(1(0(0(1(1(2(2(2(2(2(x0)))))))))))))))))))))))))))))))))))))))))) → 2(0(0(0(2(2(2(0(0(1(0(0(2(1(2(1(0(2(1(1(0(2(2(0(2(2(0(0(2(1(1(0(0(1(2(1(1(1(1(0(2(1(0(x0)))))))))))))))))))))))))))))))))))))))))))
0(0(2(0(0(2(0(0(2(1(0(0(0(0(0(1(1(0(0(2(1(0(2(2(1(0(2(1(1(0(2(0(2(1(1(2(0(1(1(0(1(2(2(x0))))))))))))))))))))))))))))))))))))))))))) → 0(2(1(1(0(1(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(2(0(1(1(0(2(1(2(1(2(1(1(1(1(1(1(2(0(0(0(1(2(1(x0))))))))))))))))))))))))))))))))))))))))))))
0(1(1(0(1(2(0(0(0(2(1(0(1(2(0(1(0(2(2(1(0(0(0(1(1(0(2(1(1(2(2(0(2(2(0(2(0(2(1(1(0(0(1(x0))))))))))))))))))))))))))))))))))))))))))) → 1(1(2(0(1(2(0(1(2(1(1(1(2(1(2(2(1(0(2(0(0(2(0(2(1(2(2(0(1(1(1(0(1(2(0(2(1(2(1(2(0(0(1(0(1(1(x0))))))))))))))))))))))))))))))))))))))))))))))
0(2(2(1(1(1(0(0(0(1(0(2(1(0(0(0(0(1(0(1(1(0(2(2(1(2(2(0(0(2(2(1(0(2(0(1(2(2(0(1(2(0(2(x0))))))))))))))))))))))))))))))))))))))))))) → 1(0(2(2(2(0(1(2(1(2(1(1(0(1(0(0(0(1(1(1(2(2(1(2(1(1(1(2(0(1(1(2(1(2(2(1(0(1(1(2(1(0(2(2(1(x0)))))))))))))))))))))))))))))))))))))))))))))
2(0(2(1(1(1(2(2(1(1(2(2(0(0(0(1(1(0(1(0(2(2(2(0(2(1(2(1(0(0(0(0(1(2(2(0(1(2(0(1(1(2(2(x0))))))))))))))))))))))))))))))))))))))))))) → 2(0(2(1(2(1(2(2(2(1(0(0(2(1(2(0(2(0(1(2(1(1(0(0(2(1(1(1(0(0(1(0(2(2(0(0(0(2(2(1(1(2(1(x0)))))))))))))))))))))))))))))))))))))))))))
0(0(0(1(1(1(2(1(1(1(2(2(0(1(2(0(2(2(1(0(2(1(1(2(1(0(0(2(1(2(1(1(0(1(2(2(2(2(1(0(2(1(0(1(x0)))))))))))))))))))))))))))))))))))))))))))) → 2(1(0(0(1(0(0(2(0(1(2(1(2(1(2(0(1(1(0(2(2(2(0(0(1(0(2(0(2(1(1(0(1(2(2(2(1(1(2(2(2(1(2(2(1(x0)))))))))))))))))))))))))))))))))))))))))))))
0(1(0(2(1(1(0(0(1(1(2(1(2(0(0(1(0(2(0(2(0(1(2(0(2(0(1(0(1(0(0(0(2(1(2(0(0(0(0(2(2(0(0(2(x0)))))))))))))))))))))))))))))))))))))))))))) → 1(1(1(2(1(2(0(2(1(1(1(2(1(2(1(2(0(0(1(0(2(2(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(1(1(0(1(1(2(1(2(1(0(x0))))))))))))))))))))))))))))))))))))))))))))))))
0(1(0(2(1(2(2(0(2(2(2(0(1(2(0(0(1(2(2(0(0(0(0(2(1(0(2(2(2(0(1(0(1(1(2(1(2(0(0(1(1(0(1(1(0(x0))))))))))))))))))))))))))))))))))))))))))))) → 0(0(2(2(1(0(2(2(1(2(1(2(1(2(1(2(1(1(0(1(0(2(1(0(1(2(1(1(0(2(2(2(2(2(1(0(2(0(0(0(0(0(1(1(1(2(x0))))))))))))))))))))))))))))))))))))))))))))))
2(0(0(0(1(1(0(2(2(2(1(1(1(0(2(1(0(1(1(0(0(1(1(2(1(0(0(0(1(1(0(2(2(0(0(0(1(0(1(1(0(0(2(2(0(x0))))))))))))))))))))))))))))))))))))))))))))) → 2(1(0(1(0(2(2(2(1(2(1(2(1(1(1(1(0(2(2(2(2(1(2(2(0(2(0(1(0(0(1(0(0(1(1(2(0(1(2(2(2(0(1(0(1(0(x0))))))))))))))))))))))))))))))))))))))))))))))
2(1(2(1(0(0(0(0(1(0(0(2(0(1(0(2(2(1(0(1(2(2(0(0(2(0(0(1(0(2(1(1(0(0(2(1(0(1(0(2(1(0(1(0(2(x0))))))))))))))))))))))))))))))))))))))))))))) → 1(2(2(0(2(0(2(1(0(1(0(2(0(2(2(1(2(2(2(2(0(0(1(0(2(1(0(1(2(1(2(2(2(0(0(2(1(2(1(1(1(0(0(0(2(1(x0))))))))))))))))))))))))))))))))))))))))))))))
0(1(2(2(2(1(0(1(1(0(0(2(2(1(0(2(0(2(0(1(2(0(1(1(0(2(0(0(1(0(2(0(0(1(0(2(1(2(0(0(2(1(0(2(1(0(x0)))))))))))))))))))))))))))))))))))))))))))))) → 2(1(2(0(1(0(2(1(1(0(2(1(1(2(1(0(2(2(2(1(2(0(0(1(2(1(1(1(1(2(0(1(0(1(2(0(2(0(0(0(2(1(2(2(2(1(2(x0)))))))))))))))))))))))))))))))))))))))))))))))
2(0(1(1(1(0(2(0(2(1(0(2(0(2(1(2(0(2(2(1(1(1(1(0(1(0(1(2(2(0(2(1(0(1(0(0(0(0(0(0(1(0(0(1(2(2(x0)))))))))))))))))))))))))))))))))))))))))))))) → 1(2(0(2(0(1(0(2(1(2(1(1(2(1(2(2(2(2(0(2(1(0(2(2(0(1(2(0(1(1(1(1(0(2(2(0(2(2(1(0(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))))
2(2(2(2(0(0(2(1(0(0(2(0(0(1(0(1(2(2(1(0(0(2(0(0(2(0(2(0(1(0(2(2(2(0(0(1(0(0(0(0(1(2(2(0(0(0(x0)))))))))))))))))))))))))))))))))))))))))))))) → 2(2(1(1(0(0(2(1(1(2(1(1(2(0(2(1(2(0(1(2(0(2(0(0(2(1(2(2(1(1(0(0(2(1(0(0(1(2(1(2(2(2(2(1(0(2(2(1(x0))))))))))))))))))))))))))))))))))))))))))))))))
0(0(1(0(2(2(2(2(0(1(1(0(0(0(2(2(0(0(1(0(0(2(0(1(0(1(0(0(0(2(0(2(2(2(0(0(2(1(1(2(1(0(2(2(0(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))) → 1(2(2(1(2(1(1(0(2(1(0(0(1(0(0(2(2(2(1(2(0(2(2(1(1(2(0(1(1(2(2(1(0(1(1(0(2(0(0(2(1(2(1(1(2(0(0(0(2(x0)))))))))))))))))))))))))))))))))))))))))))))))))
0(1(0(2(1(2(2(1(0(2(1(2(2(0(0(2(0(1(1(1(1(1(1(2(0(1(1(0(0(1(0(1(1(1(0(2(2(2(0(0(2(1(1(0(0(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))) → 1(2(0(0(2(1(2(2(1(1(0(1(2(2(0(1(0(1(2(1(1(2(1(1(1(1(0(2(2(2(1(0(2(1(1(1(1(2(2(0(2(0(2(2(2(0(2(0(2(x0)))))))))))))))))))))))))))))))))))))))))))))))))
0(2(0(1(1(1(0(1(1(0(2(0(0(0(1(1(0(1(1(2(2(2(2(0(0(1(0(0(1(0(1(0(0(0(1(0(2(2(2(2(1(1(1(0(0(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))) → 2(1(2(1(1(1(1(0(2(0(1(2(0(2(0(1(1(0(2(0(1(1(1(2(1(1(1(2(1(2(0(1(1(1(1(1(0(0(0(2(0(0(1(0(1(2(2(1(x0))))))))))))))))))))))))))))))))))))))))))))))))
0(2(2(1(2(2(2(2(1(0(1(1(0(0(2(0(2(2(2(1(0(1(1(2(2(0(1(1(0(0(0(2(1(2(0(2(0(1(0(0(2(0(1(2(2(0(1(0(x0)))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(2(0(2(2(2(2(0(1(1(0(2(1(0(0(1(1(1(2(0(1(1(1(1(0(2(2(2(2(1(1(2(1(0(0(2(2(2(2(2(2(2(2(2(1(2(1(1(x0)))))))))))))))))))))))))))))))))))))))))))))))))
0(1(0(0(1(2(2(0(0(1(0(1(0(0(0(1(0(2(2(2(0(2(2(2(1(2(1(0(0(2(1(0(2(2(2(1(0(0(2(1(0(2(1(2(0(1(1(2(2(x0))))))))))))))))))))))))))))))))))))))))))))))))) → 0(1(2(0(0(0(2(0(2(0(1(1(1(0(0(1(0(2(2(1(2(0(2(2(1(0(0(0(2(2(2(0(2(1(2(1(0(0(2(1(0(2(1(0(1(2(1(2(2(x0)))))))))))))))))))))))))))))))))))))))))))))))))
1(0(2(2(1(2(0(2(0(1(0(1(2(0(0(2(1(2(1(0(1(2(2(0(2(2(0(2(0(1(0(0(2(1(2(2(2(2(1(0(2(0(0(0(2(2(0(1(1(x0))))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(2(2(2(0(1(2(2(0(0(0(1(0(1(2(2(2(0(1(0(2(0(2(0(2(1(1(0(1(1(0(1(0(2(1(1(2(1(2(2(2(0(1(2(0(0(2(1(1(x0))))))))))))))))))))))))))))))))))))))))))))))))))
1(0(0(1(1(0(0(1(0(0(2(1(1(2(1(2(2(1(2(2(0(1(2(2(0(0(2(2(1(1(1(0(0(0(2(1(0(1(2(0(2(0(2(0(0(2(1(1(0(2(x0)))))))))))))))))))))))))))))))))))))))))))))))))) → 1(2(1(1(1(0(0(0(0(0(1(2(1(2(1(2(2(0(2(2(0(0(0(0(0(2(2(0(2(1(1(1(0(1(0(1(0(1(2(0(1(2(1(2(2(2(1(0(0(2(x0))))))))))))))))))))))))))))))))))))))))))))))))))