MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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