MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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