MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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