MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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