MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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