MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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