MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(1(2(5(3(1(4(3(4(3(5(0(1(1(5(4(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 2(1(4(3(2(5(1(4(4(0(4(1(0(2(0(2(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 5(3(1(0(3(1(2(4(0(2(5(0(2(5(4(3(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 5(5(2(1(2(2(1(0(2(3(4(0(4(0(2(4(x0))))))))))))))))
0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x0)))))))))))))))) → 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(1(2(5(3(1(4(3(4(3(5(0(1(1(5(4(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 0(5(3(5(1(2(1(1(3(3(0(5(4(1(1(5(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 2(1(4(3(2(5(1(4(4(0(4(1(0(2(0(2(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x0))))))))))))))))
0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0)))))))))))))))) → 5(5(2(1(2(2(1(0(2(3(4(0(4(0(2(4(x0))))))))))))))))
0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(1(2(5(3(1(4(3(4(3(5(0(1(1(5(4(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(3(0(4(4(4(2(3(2(4(5(0(3(0(1(1(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(3(1(0(4(1(0(2(4(5(3(4(2(3(4(1(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 0(5(3(5(1(2(1(1(3(3(0(5(4(1(1(5(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 2(1(4(3(2(5(1(4(4(0(4(1(0(2(0(2(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 2(3(1(4(1(2(2(2(5(0(1(5(4(3(4(2(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 2(5(0(0(4(1(3(1(1(5(2(1(2(0(2(5(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 3(2(1(3(1(1(4(3(2(2(4(5(4(2(1(3(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 3(5(3(1(0(1(5(5(2(0(3(4(4(4(3(4(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 4(4(5(4(0(1(2(1(0(4(3(0(2(1(0(4(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 5(3(1(0(3(1(2(4(0(2(5(0(2(5(4(3(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0))))))))))))))))
1(3(1(0(3(3(0(0(1(3(5(2(3(1(0(3(x0)))))))))))))))) → 5(5(2(1(2(2(1(0(2(3(4(0(4(0(2(4(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 0(1(2(5(3(1(4(3(4(3(5(0(1(1(5(4(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 2(1(4(3(2(5(1(4(4(0(4(1(0(2(0(2(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 3(2(1(3(1(1(4(3(2(2(4(5(4(2(1(3(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 5(3(1(0(3(1(2(4(0(2(5(0(2(5(4(3(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 5(5(2(1(2(2(1(0(2(3(4(0(4(0(2(4(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 1(0(2(3(5(3(2(4(2(4(3(3(2(5(2(2(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 2(1(4(3(2(5(1(4(4(0(4(1(0(2(0(2(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 2(5(0(0(4(1(3(1(1(5(2(1(2(0(2(5(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
2(3(1(4(1(2(2(2(5(0(1(5(4(3(4(2(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
2(3(1(4(1(2(2(2(5(0(1(5(4(3(4(2(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(4(5(4(0(1(2(1(0(4(3(0(2(1(0(4(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
2(5(0(0(4(1(3(1(1(5(2(1(2(0(2(5(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
3(2(1(3(1(1(4(3(2(2(4(5(4(2(1(3(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
3(2(1(3(1(1(4(3(2(2(4(5(4(2(1(3(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 3(2(1(3(1(1(4(3(2(2(4(5(4(2(1(3(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 3(5(3(1(0(1(5(5(2(0(3(4(4(4(3(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(4(5(4(0(1(2(1(0(4(3(0(2(1(0(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 5(3(1(0(3(1(2(4(0(2(5(0(2(5(4(3(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 4(4(5(4(0(1(2(1(0(4(3(0(2(1(0(4(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(4(5(4(0(1(2(1(0(4(3(0(2(1(0(4(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x0))))))))))))))))
5(5(2(1(2(2(1(0(2(3(4(0(4(0(2(4(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))

Proof

1 Termination Assumption

We assume termination of the following TRS
0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
0(0(1(0(2(1(3(4(0(4(5(5(3(4(5(1(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
0(1(5(3(2(5(2(2(4(0(3(0(2(3(2(0(x0)))))))))))))))) → 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(1(2(5(3(1(4(3(4(3(5(0(1(1(5(4(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(5(0(2(0(2(4(4(4(1(2(4(0(3(3(3(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
0(2(3(0(0(1(3(1(4(4(3(5(1(5(1(3(x0)))))))))))))))) → 2(1(4(3(2(5(1(4(4(0(4(1(0(2(0(2(x0))))))))))))))))
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1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 3(2(1(3(1(1(4(3(2(2(4(5(4(2(1(3(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 5(3(1(0(3(1(2(4(0(2(5(0(2(5(4(3(x0))))))))))))))))
1(3(2(1(3(4(5(5(0(1(0(5(3(2(0(3(x0)))))))))))))))) → 5(5(2(1(2(2(1(0(2(3(4(0(4(0(2(4(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
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2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 2(5(0(0(4(1(3(1(1(5(2(1(2(0(2(5(x0))))))))))))))))
2(0(0(1(0(2(0(0(3(1(2(5(3(2(2(2(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
2(3(1(4(1(2(2(2(5(0(1(5(4(3(4(2(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
2(3(1(4(1(2(2(2(5(0(1(5(4(3(4(2(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(4(5(4(0(1(2(1(0(4(3(0(2(1(0(4(x0))))))))))))))))
2(4(1(2(4(1(1(2(2(3(2(0(3(0(2(1(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
2(5(0(0(4(1(3(1(1(5(2(1(2(0(2(5(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
3(2(1(3(1(1(4(3(2(2(4(5(4(2(1(3(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
3(2(1(3(1(1(4(3(2(2(4(5(4(2(1(3(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(1(2(5(5(1(3(4(5(4(4(5(1(5(0(3(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(4(5(4(3(5(0(5(3(2(5(3(0(0(5(2(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(5(3(1(3(1(3(5(3(2(5(5(4(2(5(3(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 3(2(1(3(1(1(4(3(2(2(4(5(4(2(1(3(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 3(5(3(1(0(1(5(5(2(0(3(4(4(4(3(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(4(5(4(0(1(2(1(0(4(3(0(2(1(0(4(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
3(4(3(4(3(5(0(3(4(0(3(0(1(5(0(3(x0)))))))))))))))) → 5(3(1(0(3(1(2(4(0(2(5(0(2(5(4(3(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 4(4(5(4(0(1(2(1(0(4(3(0(2(1(0(4(x0))))))))))))))))
4(0(0(2(0(3(3(2(2(0(2(3(2(3(4(0(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(4(5(4(0(1(2(1(0(4(3(0(2(1(0(4(x0))))))))))))))))
4(0(2(2(2(1(1(0(5(4(3(3(5(0(1(1(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(0(4(3(5(5(3(3(2(4(2(3(3(5(0(4(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(2(4(5(3(5(0(1(5(2(4(2(3(0(5(0(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(4(2(5(1(0(5(4(1(0(0(2(4(0(5(0(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(4(4(5(0(0(3(5(5(4(1(1(4(5(5(2(x0))))))))))))))))
4(3(0(2(1(1(0(2(1(0(5(5(0(4(0(0(x0)))))))))))))))) → 4(5(2(5(4(1(4(2(1(1(3(2(4(3(5(0(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 0(0(1(5(1(4(4(4(4(1(4(5(0(2(1(2(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 0(2(5(3(4(2(5(4(0(1(4(2(2(3(4(0(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 0(4(5(2(0(5(0(2(3(2(2(0(5(5(4(2(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 0(5(3(4(2(1(4(3(5(5(2(0(5(4(2(3(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 2(0(0(0(4(4(5(5(1(0(3(2(1(5(5(5(x0))))))))))))))))
5(4(3(5(1(0(3(5(1(2(0(3(1(1(3(5(x0)))))))))))))))) → 5(2(2(5(4(0(2(2(5(0(0(2(3(2(0(0(x0))))))))))))))))
5(5(2(1(2(2(1(0(2(3(4(0(4(0(2(4(x0)))))))))))))))) → 1(2(2(2(5(3(0(2(1(4(3(5(4(4(2(4(x0))))))))))))))))