MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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