MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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