MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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