Tool Bounds
stdout:
YES(?,O(n^1))
We consider the following Problem:
Strict Trs:
{ 5(4(5(2(1(4(0(4(5(5(4(0(5(3(1(3(3(5(0(4(1(2(1(4(3(3(2(5(1(2(0(3(0(2(1(3(4(4(3(1(4(0(3(1(3(1(0(3(1(3(5(4(0(2(0(4(0(3(3(1(3(2(0(5(4(1(0(2(2(4(4(1(2(2(2(1(5(0(2(1(4(1(3(4(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(4(5(0(0(5(2(0(3(1(1(0(2(2(4(5(4(4(1(1(0(0(2(0(5(0(0(0(3(2(0(0(1(4(2(3(5(3(4(5(5(4(0(4(2(2(3(0(3(2(5(1(5(3(2(3(5(4(1(1(1(3(2(0(5(5(4(3(5(4(3(5(3(5(2(3(5(2(4(3(0(4(0(0(5(0(3(2(5(2(0(1(1(5(0(4(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(4(3(4(3(1(3(0(1(2(5(4(4(4(2(0(1(1(5(5(5(0(5(1(0(0(4(4(2(1(1(1(5(4(2(2(2(1(3(3(1(5(4(4(4(1(1(3(2(1(3(2(4(4(3(4(4(0(3(2(4(5(2(2(5(1(2(4(1(3(4(1(2(5(2(1(4(3(3(1(2(1(3(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(4(5(4(1(2(2(2(0(4(2(2(0(5(0(2(5(5(1(0(3(2(3(0(4(2(0(2(5(3(4(0(2(0(1(3(1(2(3(0(1(3(4(3(5(0(2(1(4(2(2(5(1(1(2(2(0(5(4(0(2(2(4(0(2(0(4(3(5(3(1(4(3(0(1(1(3(2(2(2(4(3(2(1(3(0(2(3(0(2(1(3(0(1(1(0(5(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(1(2(3(0(3(1(2(5(3(2(2(3(4(1(3(1(1(5(0(2(5(2(4(1(2(1(1(5(2(1(0(4(4(4(5(5(1(1(2(4(5(5(3(5(1(2(4(4(5(0(1(0(5(5(3(3(5(2(4(4(4(2(1(0(0(4(3(1(4(5(1(1(5(1(4(4(3(4(4(4(2(0(1(3(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(3(3(0(5(0(5(1(2(3(5(0(2(5(5(0(0(0(5(5(2(0(5(5(4(5(2(0(5(5(0(0(5(1(2(5(1(1(1(0(3(3(5(5(2(5(1(0(0(1(2(5(0(1(2(2(0(0(4(5(2(1(2(1(5(0(0(5(3(2(0(0(0(1(1(2(3(0(4(0(4(2(3(3(0(0(1(0(5(4(1(3(2(5(0(1(4(0(3(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(0(5(1(1(3(4(1(2(4(3(2(1(1(2(4(1(2(4(4(5(1(0(3(1(0(4(5(5(3(5(2(1(4(5(4(2(2(4(2(2(0(0(3(1(1(0(1(3(3(4(1(4(3(0(4(3(4(2(1(3(1(4(3(4(2(5(5(4(0(0(5(3(4(5(1(2(5(3(3(4(3(0(5(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(0(2(3(4(0(3(4(4(5(1(5(2(4(4(0(0(5(0(3(5(4(2(0(5(1(2(3(3(4(3(1(3(2(5(2(2(1(0(2(0(0(4(3(1(1(2(0(1(2(5(4(1(0(5(1(0(0(0(2(0(3(2(5(4(2(3(4(3(0(5(0(5(5(3(0(1(5(1(0(5(3(0(0(2(3(0(0(1(3(0(0(3(0(0(5(3(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(4(3(2(2(3(4(4(5(3(4(1(1(0(2(3(1(5(2(1(3(5(3(1(1(1(4(4(5(2(4(1(1(5(0(1(3(1(3(3(1(3(2(3(4(5(1(1(5(5(5(1(1(3(3(1(5(1(3(4(4(0(0(2(1(2(3(2(5(3(1(1(2(5(1(2(0(0(3(4(3(3(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(1(2(3(0(1(2(1(0(5(2(2(5(3(4(1(3(3(5(0(3(2(0(1(3(0(0(0(5(2(3(4(2(2(5(5(0(4(0(0(2(5(1(2(5(1(2(4(4(3(5(0(0(0(0(2(0(3(0(0(1(4(5(3(2(0(4(2(4(5(4(2(4(5(0(2(4(0(5(0(1(3(0(0(2(4(2(3(0(1(2(5(4(5(4(2(0(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(3(5(5(1(4(0(3(5(1(3(0(4(1(5(1(4(3(3(2(2(4(5(5(1(5(4(4(0(2(4(4(1(1(2(3(2(2(2(1(2(0(2(4(5(3(1(5(3(4(4(0(2(1(4(1(2(3(3(4(3(1(5(3(4(1(4(0(4(5(2(4(1(5(1(1(0(4(2(1(4(3(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(2(3(5(0(0(0(4(4(4(3(0(5(2(2(3(4(3(1(4(5(0(2(4(1(0(3(5(0(5(2(4(2(4(2(0(2(3(2(1(1(3(0(4(4(1(3(2(4(1(0(2(2(4(1(0(2(3(5(4(3(2(3(0(4(3(0(0(4(4(5(0(4(4(0(1(4(4(4(3(0(0(2(2(2(5(5(0(5(1(3(3(0(0(3(2(4(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(2(1(2(3(2(5(3(3(4(0(2(0(3(3(2(0(3(4(3(3(2(1(4(0(2(4(0(5(1(5(5(5(4(1(4(5(0(4(1(3(1(1(0(3(3(5(5(3(4(3(2(4(1(0(3(2(1(3(1(0(5(2(5(3(4(4(2(4(1(4(5(0(0(0(1(1(3(4(1(2(1(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(2(5(2(3(5(3(1(0(4(1(1(0(1(3(3(0(0(0(1(4(2(1(3(0(0(0(3(4(5(4(1(2(5(0(0(4(0(0(5(5(5(0(1(3(0(0(5(3(5(1(2(1(2(1(2(4(2(2(1(0(1(3(3(0(0(4(3(2(2(3(0(2(0(3(5(0(1(5(2(5(5(1(4(1(0(2(3(4(3(3(2(4(5(5(0(2(5(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(2(3(2(2(1(1(2(4(4(3(2(1(0(2(5(4(2(2(1(3(3(2(5(5(5(4(2(1(2(0(5(5(1(4(3(0(3(2(1(2(1(5(5(3(5(0(0(1(3(3(4(4(0(3(0(2(2(1(3(2(2(1(5(1(1(2(0(5(2(0(4(2(1(2(4(1(5(3(2(4(4(0(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(4(5(2(2(3(5(2(4(5(2(4(4(5(4(5(1(0(3(0(4(4(1(1(1(0(0(5(0(2(2(3(0(0(5(1(3(3(3(1(4(0(4(2(5(3(3(2(3(1(1(0(1(0(0(3(4(5(5(4(4(5(4(0(5(2(3(0(5(2(5(5(3(5(4(4(5(1(2(3(4(0(1(1(0(0(3(2(4(4(2(0(5(4(0(4(1(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(1(4(1(3(0(4(3(0(4(3(0(1(1(0(0(0(4(5(3(2(4(1(4(2(0(1(4(4(5(5(3(1(0(3(4(3(2(5(1(5(1(4(2(1(4(1(5(2(0(5(3(1(2(0(1(5(4(3(4(3(3(3(5(4(1(1(3(5(5(2(2(1(1(1(3(2(4(1(3(3(5(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(3(4(3(2(3(2(0(4(2(3(5(0(2(5(0(0(4(1(1(2(4(4(0(0(1(4(0(1(2(2(4(2(2(4(3(0(0(2(3(3(4(3(5(3(0(2(1(2(0(5(1(5(2(0(2(1(3(1(4(1(2(5(2(2(4(5(0(4(3(2(4(2(5(3(4(1(2(1(1(1(0(4(2(5(2(5(2(3(2(1(1(2(3(0(5(1(5(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(4(0(2(3(5(0(1(4(3(1(4(4(4(3(2(5(0(1(3(5(5(3(0(2(3(1(0(2(3(2(1(1(5(2(2(4(5(1(1(4(3(2(4(1(4(5(1(4(3(3(0(3(1(4(4(4(2(4(1(1(3(0(3(4(3(1(1(1(5(3(4(3(0(0(0(5(5(5(1(4(4(3(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(0(4(0(1(0(4(4(4(2(1(3(5(2(5(0(1(5(4(0(0(0(3(1(0(0(1(1(2(1(5(0(3(4(4(1(2(1(0(0(5(3(0(2(0(2(2(3(3(2(4(4(4(2(4(2(4(3(0(2(1(5(2(5(0(4(2(3(5(0(4(5(4(2(2(5(2(3(1(3(3(3(2(5(2(4(0(4(1(2(3(0(3(5(4(2(2(2(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(2(3(4(4(3(1(0(5(3(2(1(2(0(1(5(1(4(0(5(3(1(4(3(2(4(4(2(0(2(1(3(0(1(5(2(4(5(0(4(3(3(2(1(1(2(3(0(4(3(4(1(5(2(4(1(0(4(4(5(1(0(2(1(5(5(5(3(5(4(2(1(4(2(1(5(0(1(3(3(1(5(5(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(5(2(3(2(5(0(2(2(2(3(0(1(2(1(0(5(1(0(3(3(3(5(0(2(5(0(0(3(1(3(3(4(1(3(0(4(1(1(1(5(5(1(1(2(2(1(2(5(3(2(2(3(2(2(3(4(1(3(2(3(0(5(0(1(0(0(5(1(0(4(0(4(2(2(3(4(1(3(3(0(4(4(4(2(0(2(0(2(4(3(2(2(5(0(3(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(3(5(5(4(2(1(4(5(4(2(1(3(5(0(1(2(3(3(4(3(5(4(5(2(4(2(4(1(3(4(2(1(1(1(2(1(4(4(0(5(3(3(4(1(4(0(5(2(4(2(5(0(5(4(4(3(3(0(0(4(0(3(3(2(1(4(4(1(3(1(3(4(2(0(5(4(3(3(4(1(5(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
1(2(2(3(4(0(3(5(3(3(4(4(1(5(4(5(1(2(0(2(0(0(5(1(0(3(5(4(3(2(5(5(5(1(2(2(5(2(0(5(4(5(3(0(1(1(4(3(4(5(1(3(0(5(1(1(1(2(2(4(0(5(4(3(5(2(3(1(1(0(2(2(1(5(0(0(0(0(1(0(0(4(3(2(0(5(4(0(2(0(3(2(3(4(2(2(3(1(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(1(5(4(4(2(3(0(1(5(5(3(1(0(4(5(0(5(2(2(5(4(1(1(1(1(5(5(2(5(1(2(0(3(0(1(5(3(3(1(0(2(1(2(5(3(4(3(5(0(3(4(4(5(5(4(3(1(1(0(5(0(5(4(4(1(2(1(5(4(2(0(1(3(2(4(2(4(1(5(5(2(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(0(3(2(5(5(0(5(5(0(3(4(3(5(3(3(0(2(3(5(3(4(1(1(3(5(0(4(1(2(1(5(5(0(5(0(0(0(4(3(0(4(3(4(5(2(5(3(0(0(0(0(1(0(0(5(2(5(4(2(5(4(0(0(4(2(2(5(5(3(3(5(2(5(2(2(0(3(2(1(5(0(3(0(3(5(0(4(3(5(5(3(3(3(2(5(4(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(4(3(5(5(4(4(4(3(1(1(1(3(4(0(5(5(1(3(1(5(3(1(5(5(4(3(5(1(5(5(1(4(5(5(4(3(3(1(4(2(4(4(3(0(1(4(4(4(3(0(3(2(1(0(1(1(4(2(3(5(3(2(1(5(4(0(5(3(2(5(2(1(4(5(3(5(3(2(5(2(1(2(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(3(5(3(2(4(5(2(2(0(2(0(2(0(2(5(1(5(2(2(5(0(1(1(1(2(4(3(1(1(4(2(5(5(3(2(3(3(2(3(4(0(1(0(5(1(2(3(0(5(0(1(3(3(5(0(5(0(0(3(3(4(2(4(5(5(0(5(0(5(2(5(1(4(3(1(3(0(2(3(3(1(2(3(1(1(0(0(0(0(4(2(1(5(3(4(0(3(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(2(2(4(4(5(3(4(3(2(4(1(3(4(4(1(1(0(3(4(5(3(0(5(3(1(1(3(1(5(4(4(0(3(5(0(1(3(4(3(1(5(2(0(4(4(0(2(0(3(4(2(2(2(0(3(0(2(5(1(4(5(5(1(4(1(1(5(0(5(3(5(1(0(4(2(2(4(0(1(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(1(4(0(0(4(1(5(0(4(5(4(4(0(5(3(1(2(5(2(3(0(5(5(3(2(0(4(5(5(1(5(5(2(2(3(4(0(5(0(4(0(1(2(2(3(0(3(1(3(0(2(2(1(2(3(4(3(0(1(5(3(2(4(5(0(1(2(3(2(0(5(2(3(0(2(0(3(2(1(5(3(1(0(0(0(3(5(0(1(4(3(3(5(2(5(3(3(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(4(3(3(0(4(1(5(1(1(1(1(2(5(2(0(2(2(1(5(3(0(3(5(1(1(2(5(4(5(0(0(5(2(5(2(1(4(0(2(0(1(3(2(4(4(1(4(5(3(1(4(5(1(4(1(3(5(4(3(4(1(4(3(0(3(3(4(5(1(1(4(5(3(4(5(2(4(1(0(3(3(4(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(1(1(0(5(1(5(4(2(0(2(1(0(0(0(0(3(0(0(1(2(1(3(4(4(0(2(2(0(2(5(4(2(4(2(1(1(4(4(5(2(3(1(2(3(5(1(2(3(4(3(3(0(5(0(5(5(4(2(5(2(3(5(0(4(3(0(4(5(3(5(3(3(0(2(0(2(3(2(4(5(0(5(0(0(4(0(3(0(0(2(5(5(3(3(4(2(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(4(3(1(3(5(0(3(4(0(4(2(4(3(2(0(1(5(5(2(3(3(4(4(5(4(1(3(3(0(4(3(2(5(4(4(5(2(2(0(3(1(5(2(5(4(2(1(4(3(4(1(5(5(0(0(0(2(1(4(4(3(0(2(0(3(2(2(1(2(4(4(0(1(1(0(4(5(3(2(4(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(3(4(4(2(0(3(0(4(2(5(0(5(0(5(0(1(3(4(4(2(3(1(5(0(5(3(4(3(2(3(0(2(2(0(0(5(3(4(1(4(2(3(3(4(4(5(1(3(0(2(4(5(1(0(0(0(3(2(1(1(2(2(4(2(3(4(0(3(0(0(0(1(5(3(5(5(1(5(1(2(5(0(5(3(0(4(4(2(2(5(0(5(0(3(0(3(0(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(4(5(1(4(5(0(2(4(5(5(3(4(1(3(0(1(3(1(4(2(4(4(5(4(0(5(0(2(4(3(1(4(0(4(1(3(3(1(1(4(5(4(4(1(4(1(4(1(3(1(2(2(5(1(4(5(4(2(2(0(5(5(0(0(1(1(5(4(5(5(2(1(1(0(5(1(3(3(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(5(1(0(1(0(0(2(3(0(5(4(2(3(2(0(0(1(3(2(4(1(0(3(4(0(0(2(2(4(5(0(2(1(1(4(2(3(5(3(5(0(4(4(2(1(0(2(2(1(1(3(1(3(1(2(3(2(2(3(5(2(5(3(0(2(4(0(3(4(4(5(2(3(0(0(2(3(5(3(0(1(2(5(0(2(0(3(2(4(1(2(4(4(4(2(3(1(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(1(5(5(2(2(2(5(5(5(0(1(3(4(5(5(2(2(1(3(3(5(1(5(5(0(4(3(0(0(1(3(4(0(1(5(3(4(3(2(2(0(1(4(4(3(5(2(0(2(0(5(2(1(3(2(0(4(1(4(5(2(0(0(0(4(5(1(2(2(3(5(2(1(2(3(0(0(3(5(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(2(5(2(5(0(3(3(3(0(2(5(3(1(2(4(3(2(3(1(4(5(5(0(1(0(0(1(1(0(0(3(4(1(0(2(5(5(0(2(4(0(4(2(2(4(5(5(3(4(1(0(2(2(3(0(1(2(5(1(0(1(3(2(5(0(2(3(0(2(5(2(2(3(4(1(1(4(1(0(3(1(2(0(4(5(3(3(3(0(3(5(0(0(0(4(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(0(1(2(1(1(2(0(1(3(4(2(0(3(0(2(0(4(0(1(3(4(4(0(5(3(2(1(2(5(3(2(0(5(3(1(5(1(1(2(1(1(2(4(2(4(1(5(2(2(4(1(3(5(5(0(0(3(4(2(4(0(5(4(5(4(4(2(1(3(5(4(2(4(0(4(5(2(0(5(1(4(5(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(1(4(0(0(4(4(2(5(4(1(3(3(5(2(3(5(3(3(1(4(3(2(2(2(3(5(0(0(1(1(0(5(0(0(1(0(5(2(1(2(1(5(3(2(1(0(1(0(2(0(0(3(0(3(0(1(3(4(0(2(4(5(1(5(5(2(5(1(3(5(0(2(4(2(1(3(5(2(3(0(0(2(0(3(2(3(0(1(0(0(1(1(2(4(0(2(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}
StartTerms: all
Strategy: none
Certificate: YES(?,O(n^1))
Proof:
The problem is match-bounded by 1.
The enriched problem is compatible with the following automaton:
{ 2_0(1) -> 1
, 2_1(1) -> 494
, 2_1(2) -> 494
, 2_1(10) -> 9
, 2_1(16) -> 15
, 2_1(17) -> 16
, 2_1(26) -> 25
, 2_1(33) -> 32
, 2_1(38) -> 37
, 2_1(48) -> 47
, 2_1(49) -> 48
, 2_1(53) -> 52
, 2_1(58) -> 57
, 2_1(66) -> 65
, 2_1(78) -> 77
, 2_1(81) -> 80
, 2_1(91) -> 90
, 2_1(93) -> 92
, 2_1(101) -> 494
, 2_1(107) -> 106
, 2_1(108) -> 107
, 2_1(109) -> 108
, 2_1(112) -> 111
, 2_1(113) -> 112
, 2_1(117) -> 116
, 2_1(123) -> 122
, 2_1(127) -> 126
, 2_1(129) -> 128
, 2_1(134) -> 133
, 2_1(139) -> 138
, 2_1(148) -> 147
, 2_1(151) -> 150
, 2_1(152) -> 151
, 2_1(156) -> 155
, 2_1(157) -> 156
, 2_1(162) -> 161
, 2_1(163) -> 162
, 2_1(166) -> 165
, 2_1(179) -> 178
, 2_1(180) -> 179
, 2_1(181) -> 180
, 2_1(184) -> 183
, 2_1(188) -> 187
, 2_1(191) -> 190
, 2_1(199) -> 1078
, 2_1(208) -> 207
, 2_1(212) -> 211
, 2_1(220) -> 219
, 2_1(226) -> 225
, 2_1(234) -> 233
, 2_1(244) -> 243
, 2_1(250) -> 249
, 2_1(254) -> 253
, 2_1(255) -> 254
, 2_1(260) -> 259
, 2_1(262) -> 261
, 2_1(269) -> 268
, 2_1(275) -> 274
, 2_1(281) -> 280
, 2_1(292) -> 291
, 2_1(298) -> 981
, 2_1(301) -> 300
, 2_1(311) -> 310
, 2_1(321) -> 320
, 2_1(325) -> 324
, 2_1(332) -> 331
, 2_1(334) -> 333
, 2_1(335) -> 334
, 2_1(338) -> 337
, 2_1(345) -> 344
, 2_1(348) -> 347
, 2_1(358) -> 357
, 2_1(361) -> 360
, 2_1(364) -> 363
, 2_1(383) -> 382
, 2_1(395) -> 1942
, 2_1(396) -> 1
, 2_1(396) -> 199
, 2_1(396) -> 787
, 2_1(398) -> 397
, 2_1(402) -> 401
, 2_1(406) -> 405
, 2_1(407) -> 406
, 2_1(417) -> 416
, 2_1(425) -> 424
, 2_1(428) -> 427
, 2_1(429) -> 428
, 2_1(436) -> 435
, 2_1(439) -> 438
, 2_1(442) -> 441
, 2_1(451) -> 450
, 2_1(460) -> 459
, 2_1(463) -> 462
, 2_1(467) -> 466
, 2_1(471) -> 470
, 2_1(480) -> 479
, 2_1(482) -> 481
, 2_1(486) -> 485
, 2_1(491) -> 490
, 2_1(495) -> 2
, 2_1(507) -> 506
, 2_1(508) -> 507
, 2_1(516) -> 515
, 2_1(524) -> 523
, 2_1(526) -> 525
, 2_1(528) -> 527
, 2_1(530) -> 529
, 2_1(532) -> 531
, 2_1(541) -> 540
, 2_1(545) -> 544
, 2_1(546) -> 545
, 2_1(550) -> 549
, 2_1(555) -> 554
, 2_1(576) -> 575
, 2_1(577) -> 576
, 2_1(578) -> 577
, 2_1(589) -> 588
, 2_1(591) -> 590
, 2_1(594) -> 593
, 2_1(596) -> 595
, 2_1(614) -> 613
, 2_1(625) -> 624
, 2_1(644) -> 643
, 2_1(646) -> 645
, 2_1(648) -> 647
, 2_1(650) -> 649
, 2_1(651) -> 650
, 2_1(661) -> 660
, 2_1(662) -> 661
, 2_1(665) -> 664
, 2_1(672) -> 671
, 2_1(679) -> 678
, 2_1(684) -> 683
, 2_1(689) -> 688
, 2_1(693) -> 692
, 2_1(694) -> 693
, 2_1(697) -> 696
, 2_1(700) -> 699
, 2_1(719) -> 718
, 2_1(720) -> 719
, 2_1(733) -> 732
, 2_1(737) -> 736
, 2_1(755) -> 754
, 2_1(759) -> 758
, 2_1(768) -> 767
, 2_1(777) -> 776
, 2_1(780) -> 779
, 2_1(786) -> 1560
, 2_1(792) -> 791
, 2_1(794) -> 793
, 2_1(797) -> 796
, 2_1(801) -> 800
, 2_1(808) -> 807
, 2_1(817) -> 816
, 2_1(818) -> 817
, 2_1(820) -> 819
, 2_1(821) -> 820
, 2_1(826) -> 825
, 2_1(834) -> 833
, 2_1(836) -> 835
, 2_1(841) -> 840
, 2_1(843) -> 842
, 2_1(849) -> 848
, 2_1(851) -> 850
, 2_1(852) -> 851
, 2_1(858) -> 857
, 2_1(860) -> 859
, 2_1(865) -> 864
, 2_1(871) -> 870
, 2_1(873) -> 872
, 2_1(875) -> 874
, 2_1(877) -> 876
, 2_1(880) -> 879
, 2_1(893) -> 892
, 2_1(897) -> 896
, 2_1(912) -> 911
, 2_1(920) -> 919
, 2_1(927) -> 926
, 2_1(929) -> 928
, 2_1(930) -> 929
, 2_1(933) -> 932
, 2_1(937) -> 936
, 2_1(939) -> 938
, 2_1(943) -> 942
, 2_1(946) -> 945
, 2_1(950) -> 949
, 2_1(957) -> 956
, 2_1(958) -> 957
, 2_1(960) -> 959
, 2_1(966) -> 965
, 2_1(968) -> 967
, 2_1(973) -> 972
, 2_1(979) -> 978
, 2_1(980) -> 979
, 2_1(981) -> 980
, 2_1(983) -> 982
, 2_1(985) -> 984
, 2_1(988) -> 987
, 2_1(989) -> 988
, 2_1(990) -> 989
, 2_1(994) -> 993
, 2_1(1005) -> 1004
, 2_1(1025) -> 1024
, 2_1(1026) -> 1025
, 2_1(1028) -> 1027
, 2_1(1031) -> 1030
, 2_1(1032) -> 1031
, 2_1(1034) -> 1033
, 2_1(1035) -> 1034
, 2_1(1040) -> 1039
, 2_1(1054) -> 1053
, 2_1(1055) -> 1054
, 2_1(1065) -> 1064
, 2_1(1067) -> 1066
, 2_1(1069) -> 1068
, 2_1(1072) -> 1071
, 2_1(1073) -> 1072
, 2_1(1077) -> 1076
, 2_1(1078) -> 1077
, 2_1(1080) -> 1079
, 2_1(1081) -> 1080
, 2_1(1096) -> 1095
, 2_1(1098) -> 1097
, 2_1(1108) -> 1107
, 2_1(1113) -> 1112
, 2_1(1114) -> 1113
, 2_1(1116) -> 1115
, 2_1(1136) -> 1135
, 2_1(1137) -> 1136
, 2_1(1144) -> 1143
, 2_1(1149) -> 1148
, 2_1(1150) -> 1149
, 2_1(1162) -> 1161
, 2_1(1167) -> 1166
, 2_1(1170) -> 1169
, 2_1(1173) -> 1172
, 2_1(1174) -> 1173
, 2_1(1180) -> 1179
, 2_1(1194) -> 1193
, 2_1(1206) -> 1205
, 2_1(1222) -> 1221
, 2_1(1233) -> 1232
, 2_1(1236) -> 1235
, 2_1(1242) -> 1241
, 2_1(1243) -> 1242
, 2_1(1249) -> 1248
, 2_1(1251) -> 1250
, 2_1(1252) -> 1251
, 2_1(1255) -> 1254
, 2_1(1271) -> 1270
, 2_1(1277) -> 1276
, 2_1(1280) -> 1279
, 2_1(1281) -> 1280
, 2_1(1283) -> 1282
, 2_1(1285) -> 1284
, 2_1(1287) -> 1286
, 2_1(1291) -> 1290
, 2_1(1292) -> 1291
, 2_1(1298) -> 1297
, 2_1(1304) -> 1303
, 2_1(1308) -> 1307
, 2_1(1311) -> 1310
, 2_1(1319) -> 1318
, 2_1(1335) -> 1334
, 2_1(1343) -> 1342
, 2_1(1351) -> 1350
, 2_1(1355) -> 1354
, 2_1(1364) -> 1363
, 2_1(1386) -> 1385
, 2_1(1388) -> 1387
, 2_1(1394) -> 1393
, 2_1(1402) -> 1401
, 2_1(1403) -> 1402
, 2_1(1412) -> 1411
, 2_1(1413) -> 1412
, 2_1(1420) -> 1419
, 2_1(1421) -> 1420
, 2_1(1423) -> 1422
, 2_1(1431) -> 1430
, 2_1(1436) -> 1435
, 2_1(1438) -> 1437
, 2_1(1441) -> 1440
, 2_1(1444) -> 1443
, 2_1(1447) -> 1446
, 2_1(1463) -> 1462
, 2_1(1473) -> 1472
, 2_1(1475) -> 1474
, 2_1(1485) -> 1484
, 2_1(1491) -> 1490
, 2_1(1492) -> 1491
, 2_1(1494) -> 1493
, 2_1(1497) -> 1496
, 2_1(1499) -> 1498
, 2_1(1505) -> 1504
, 2_1(1508) -> 1507
, 2_1(1512) -> 1511
, 2_1(1523) -> 1522
, 2_1(1525) -> 1524
, 2_1(1539) -> 1538
, 2_1(1541) -> 1540
, 2_1(1543) -> 1542
, 2_1(1555) -> 1554
, 2_1(1564) -> 1563
, 2_1(1569) -> 1568
, 2_1(1580) -> 1579
, 2_1(1589) -> 1588
, 2_1(1592) -> 1591
, 2_1(1593) -> 1592
, 2_1(1601) -> 1600
, 2_1(1610) -> 1609
, 2_1(1618) -> 1617
, 2_1(1621) -> 1620
, 2_1(1622) -> 1621
, 2_1(1624) -> 1623
, 2_1(1640) -> 1639
, 2_1(1648) -> 1647
, 2_1(1649) -> 1648
, 2_1(1664) -> 1663
, 2_1(1669) -> 1668
, 2_1(1671) -> 1670
, 2_1(1676) -> 1675
, 2_1(1684) -> 1683
, 2_1(1685) -> 1684
, 2_1(1689) -> 1688
, 2_1(1693) -> 1692
, 2_1(1701) -> 1700
, 2_1(1704) -> 1703
, 2_1(1705) -> 1704
, 2_1(1712) -> 1711
, 2_1(1714) -> 1713
, 2_1(1715) -> 1714
, 2_1(1718) -> 1717
, 2_1(1722) -> 1721
, 2_1(1729) -> 1728
, 2_1(1733) -> 1732
, 2_1(1739) -> 1738
, 2_1(1742) -> 1741
, 2_1(1745) -> 1744
, 2_1(1748) -> 1747
, 2_1(1752) -> 1751
, 2_1(1754) -> 4
, 2_1(1756) -> 1755
, 2_1(1763) -> 1762
, 2_1(1767) -> 1766
, 2_1(1770) -> 1769
, 2_1(1788) -> 1787
, 2_1(1792) -> 1791
, 2_1(1796) -> 1795
, 2_1(1797) -> 1796
, 2_1(1805) -> 1804
, 2_1(1806) -> 1805
, 2_1(1810) -> 1809
, 2_1(1816) -> 1815
, 2_1(1819) -> 1818
, 2_1(1822) -> 1821
, 2_1(1824) -> 1823
, 2_1(1825) -> 1824
, 2_1(1835) -> 1834
, 2_1(1854) -> 1853
, 2_1(1861) -> 1860
, 2_1(1869) -> 1868
, 2_1(1870) -> 1869
, 2_1(1871) -> 1870
, 2_1(1885) -> 1884
, 2_1(1887) -> 1886
, 2_1(1891) -> 1890
, 2_1(1896) -> 1895
, 2_1(1907) -> 1906
, 2_1(1913) -> 1912
, 2_1(1919) -> 1918
, 2_1(1921) -> 1920
, 2_1(1925) -> 1924
, 2_1(1929) -> 1928
, 2_1(1932) -> 1931
, 2_1(1940) -> 1939
, 1_0(1) -> 1
, 1_1(1) -> 592
, 1_1(4) -> 3
, 1_1(13) -> 12
, 1_1(14) -> 13
, 1_1(22) -> 21
, 1_1(23) -> 22
, 1_1(36) -> 35
, 1_1(55) -> 54
, 1_1(62) -> 61
, 1_1(63) -> 62
, 1_1(64) -> 63
, 1_1(95) -> 94
, 1_1(96) -> 95
, 1_1(100) -> 883
, 1_1(106) -> 105
, 1_1(120) -> 119
, 1_1(136) -> 135
, 1_1(138) -> 137
, 1_1(142) -> 141
, 1_1(149) -> 148
, 1_1(154) -> 153
, 1_1(155) -> 154
, 1_1(172) -> 171
, 1_1(176) -> 175
, 1_1(177) -> 176
, 1_1(185) -> 184
, 1_1(192) -> 191
, 1_1(195) -> 194
, 1_1(196) -> 195
, 1_1(207) -> 206
, 1_1(233) -> 232
, 1_1(236) -> 235
, 1_1(237) -> 236
, 1_1(238) -> 237
, 1_1(246) -> 245
, 1_1(249) -> 248
, 1_1(253) -> 252
, 1_1(261) -> 260
, 1_1(263) -> 262
, 1_1(273) -> 272
, 1_1(274) -> 273
, 1_1(286) -> 285
, 1_1(290) -> 289
, 1_1(295) -> 294
, 1_1(298) -> 1176
, 1_1(309) -> 308
, 1_1(324) -> 323
, 1_1(330) -> 329
, 1_1(336) -> 335
, 1_1(343) -> 342
, 1_1(344) -> 343
, 1_1(347) -> 346
, 1_1(351) -> 350
, 1_1(354) -> 353
, 1_1(375) -> 374
, 1_1(377) -> 376
, 1_1(387) -> 386
, 1_1(396) -> 592
, 1_1(397) -> 396
, 1_1(401) -> 400
, 1_1(403) -> 402
, 1_1(411) -> 410
, 1_1(419) -> 418
, 1_1(438) -> 437
, 1_1(441) -> 440
, 1_1(456) -> 455
, 1_1(476) -> 475
, 1_1(485) -> 484
, 1_1(494) -> 493
, 1_1(512) -> 511
, 1_1(518) -> 517
, 1_1(533) -> 532
, 1_1(534) -> 533
, 1_1(539) -> 538
, 1_1(543) -> 542
, 1_1(548) -> 547
, 1_1(569) -> 568
, 1_1(583) -> 582
, 1_1(592) -> 1273
, 1_1(600) -> 599
, 1_1(603) -> 602
, 1_1(604) -> 603
, 1_1(606) -> 605
, 1_1(612) -> 611
, 1_1(615) -> 614
, 1_1(624) -> 623
, 1_1(636) -> 635
, 1_1(643) -> 642
, 1_1(645) -> 644
, 1_1(647) -> 646
, 1_1(652) -> 651
, 1_1(654) -> 653
, 1_1(670) -> 669
, 1_1(675) -> 674
, 1_1(677) -> 676
, 1_1(706) -> 705
, 1_1(712) -> 711
, 1_1(713) -> 712
, 1_1(714) -> 713
, 1_1(725) -> 724
, 1_1(729) -> 728
, 1_1(739) -> 738
, 1_1(740) -> 739
, 1_1(742) -> 741
, 1_1(767) -> 766
, 1_1(772) -> 771
, 1_1(773) -> 772
, 1_1(786) -> 785
, 1_1(787) -> 1753
, 1_1(806) -> 805
, 1_1(807) -> 806
, 1_1(813) -> 812
, 1_1(816) -> 815
, 1_1(835) -> 834
, 1_1(839) -> 838
, 1_1(844) -> 843
, 1_1(846) -> 845
, 1_1(848) -> 847
, 1_1(864) -> 863
, 1_1(866) -> 865
, 1_1(867) -> 866
, 1_1(868) -> 867
, 1_1(878) -> 877
, 1_1(879) -> 878
, 1_1(884) -> 883
, 1_1(888) -> 887
, 1_1(894) -> 893
, 1_1(900) -> 899
, 1_1(907) -> 906
, 1_1(910) -> 909
, 1_1(911) -> 910
, 1_1(913) -> 912
, 1_1(919) -> 918
, 1_1(921) -> 920
, 1_1(944) -> 943
, 1_1(962) -> 961
, 1_1(972) -> 971
, 1_1(993) -> 992
, 1_1(995) -> 994
, 1_1(998) -> 997
, 1_1(1010) -> 1009
, 1_1(1014) -> 1013
, 1_1(1018) -> 1017
, 1_1(1019) -> 1018
, 1_1(1020) -> 1019
, 1_1(1023) -> 1022
, 1_1(1024) -> 1023
, 1_1(1027) -> 1026
, 1_1(1038) -> 1037
, 1_1(1045) -> 1044
, 1_1(1049) -> 1048
, 1_1(1058) -> 1057
, 1_1(1079) -> 1
, 1_1(1079) -> 494
, 1_1(1080) -> 592
, 1_1(1091) -> 1090
, 1_1(1095) -> 1094
, 1_1(1102) -> 1101
, 1_1(1112) -> 1111
, 1_1(1123) -> 1122
, 1_1(1124) -> 1123
, 1_1(1129) -> 1128
, 1_1(1133) -> 1132
, 1_1(1134) -> 1133
, 1_1(1135) -> 1134
, 1_1(1146) -> 1145
, 1_1(1147) -> 1146
, 1_1(1151) -> 1150
, 1_1(1157) -> 1156
, 1_1(1176) -> 1175
, 1_1(1199) -> 1198
, 1_1(1200) -> 1199
, 1_1(1205) -> 1204
, 1_1(1207) -> 1206
, 1_1(1229) -> 1228
, 1_1(1256) -> 1255
, 1_1(1289) -> 1288
, 1_1(1295) -> 1294
, 1_1(1296) -> 1295
, 1_1(1297) -> 1296
, 1_1(1301) -> 1300
, 1_1(1302) -> 1301
, 1_1(1315) -> 1314
, 1_1(1318) -> 1317
, 1_1(1324) -> 1323
, 1_1(1345) -> 1344
, 1_1(1348) -> 1347
, 1_1(1354) -> 1353
, 1_1(1357) -> 1356
, 1_1(1358) -> 1357
, 1_1(1365) -> 1364
, 1_1(1370) -> 102
, 1_1(1375) -> 1374
, 1_1(1385) -> 1384
, 1_1(1399) -> 1398
, 1_1(1411) -> 1410
, 1_1(1417) -> 1416
, 1_1(1422) -> 1421
, 1_1(1428) -> 1427
, 1_1(1435) -> 1434
, 1_1(1448) -> 1447
, 1_1(1451) -> 1450
, 1_1(1458) -> 1457
, 1_1(1466) -> 299
, 1_1(1467) -> 1466
, 1_1(1470) -> 1469
, 1_1(1476) -> 1475
, 1_1(1484) -> 1483
, 1_1(1486) -> 1485
, 1_1(1500) -> 1499
, 1_1(1501) -> 1500
, 1_1(1507) -> 1506
, 1_1(1511) -> 1510
, 1_1(1576) -> 1575
, 1_1(1582) -> 1581
, 1_1(1599) -> 1598
, 1_1(1607) -> 1606
, 1_1(1613) -> 1612
, 1_1(1619) -> 1618
, 1_1(1620) -> 1619
, 1_1(1632) -> 1631
, 1_1(1637) -> 1636
, 1_1(1639) -> 1638
, 1_1(1659) -> 1658
, 1_1(1661) -> 1660
, 1_1(1674) -> 1673
, 1_1(1678) -> 1677
, 1_1(1690) -> 1689
, 1_1(1691) -> 1690
, 1_1(1702) -> 1701
, 1_1(1706) -> 1705
, 1_1(1707) -> 1706
, 1_1(1709) -> 1708
, 1_1(1711) -> 1710
, 1_1(1738) -> 1737
, 1_1(1747) -> 1746
, 1_1(1754) -> 592
, 1_1(1766) -> 1765
, 1_1(1772) -> 1771
, 1_1(1777) -> 1776
, 1_1(1780) -> 1779
, 1_1(1781) -> 1780
, 1_1(1786) -> 1785
, 1_1(1803) -> 1802
, 1_1(1809) -> 1808
, 1_1(1812) -> 1811
, 1_1(1814) -> 1813
, 1_1(1828) -> 1827
, 1_1(1829) -> 1828
, 1_1(1831) -> 1830
, 1_1(1834) -> 1833
, 1_1(1848) -> 1177
, 1_1(1857) -> 1856
, 1_1(1866) -> 1865
, 1_1(1876) -> 1875
, 1_1(1877) -> 1876
, 1_1(1882) -> 1881
, 1_1(1886) -> 1885
, 1_1(1888) -> 1887
, 1_1(1892) -> 1891
, 1_1(1894) -> 1893
, 1_1(1903) -> 1902
, 1_1(1910) -> 1909
, 1_1(1915) -> 1914
, 1_1(1922) -> 1921
, 1_1(1935) -> 1934
, 1_1(1938) -> 1937
, 1_1(1939) -> 1938
, 5_0(1) -> 1
, 5_1(1) -> 100
, 5_1(6) -> 5
, 5_1(9) -> 8
, 5_1(19) -> 18
, 5_1(28) -> 27
, 5_1(40) -> 39
, 5_1(43) -> 42
, 5_1(44) -> 43
, 5_1(54) -> 53
, 5_1(56) -> 55
, 5_1(60) -> 59
, 5_1(68) -> 67
, 5_1(69) -> 68
, 5_1(72) -> 71
, 5_1(75) -> 74
, 5_1(77) -> 76
, 5_1(80) -> 79
, 5_1(88) -> 87
, 5_1(92) -> 91
, 5_1(97) -> 96
, 5_1(100) -> 395
, 5_1(101) -> 100
, 5_1(104) -> 103
, 5_1(115) -> 114
, 5_1(118) -> 117
, 5_1(119) -> 118
, 5_1(130) -> 129
, 5_1(146) -> 145
, 5_1(153) -> 152
, 5_1(159) -> 158
, 5_1(170) -> 169
, 5_1(198) -> 197
, 5_1(200) -> 1
, 5_1(200) -> 100
, 5_1(200) -> 199
, 5_1(200) -> 296
, 5_1(200) -> 786
, 5_1(200) -> 787
, 5_1(200) -> 1272
, 5_1(200) -> 1847
, 5_1(204) -> 203
, 5_1(206) -> 205
, 5_1(210) -> 209
, 5_1(213) -> 212
, 5_1(214) -> 213
, 5_1(218) -> 217
, 5_1(219) -> 218
, 5_1(222) -> 221
, 5_1(223) -> 222
, 5_1(225) -> 224
, 5_1(228) -> 227
, 5_1(229) -> 228
, 5_1(232) -> 231
, 5_1(235) -> 234
, 5_1(242) -> 241
, 5_1(243) -> 242
, 5_1(245) -> 244
, 5_1(251) -> 250
, 5_1(259) -> 258
, 5_1(264) -> 263
, 5_1(267) -> 266
, 5_1(288) -> 287
, 5_1(293) -> 292
, 5_1(308) -> 307
, 5_1(310) -> 309
, 5_1(316) -> 315
, 5_1(319) -> 318
, 5_1(323) -> 322
, 5_1(333) -> 332
, 5_1(349) -> 348
, 5_1(353) -> 352
, 5_1(362) -> 361
, 5_1(369) -> 368
, 5_1(371) -> 370
, 5_1(372) -> 371
, 5_1(376) -> 375
, 5_1(379) -> 378
, 5_1(394) -> 393
, 5_1(396) -> 100
, 5_1(405) -> 404
, 5_1(408) -> 407
, 5_1(414) -> 413
, 5_1(424) -> 423
, 5_1(430) -> 429
, 5_1(431) -> 430
, 5_1(437) -> 436
, 5_1(440) -> 439
, 5_1(446) -> 445
, 5_1(458) -> 457
, 5_1(465) -> 464
, 5_1(469) -> 468
, 5_1(474) -> 473
, 5_1(487) -> 486
, 5_1(489) -> 488
, 5_1(494) -> 884
, 5_1(497) -> 496
, 5_1(506) -> 505
, 5_1(514) -> 513
, 5_1(521) -> 520
, 5_1(523) -> 522
, 5_1(552) -> 551
, 5_1(564) -> 563
, 5_1(579) -> 578
, 5_1(580) -> 579
, 5_1(582) -> 581
, 5_1(593) -> 100
, 5_1(595) -> 594
, 5_1(598) -> 597
, 5_1(622) -> 621
, 5_1(626) -> 625
, 5_1(632) -> 631
, 5_1(633) -> 632
, 5_1(634) -> 633
, 5_1(640) -> 639
, 5_1(642) -> 641
, 5_1(668) -> 667
, 5_1(671) -> 670
, 5_1(673) -> 672
, 5_1(674) -> 673
, 5_1(686) -> 685
, 5_1(687) -> 686
, 5_1(690) -> 689
, 5_1(692) -> 691
, 5_1(696) -> 695
, 5_1(699) -> 698
, 5_1(703) -> 702
, 5_1(705) -> 704
, 5_1(717) -> 716
, 5_1(724) -> 723
, 5_1(734) -> 733
, 5_1(747) -> 746
, 5_1(748) -> 747
, 5_1(751) -> 750
, 5_1(754) -> 753
, 5_1(758) -> 757
, 5_1(760) -> 759
, 5_1(761) -> 760
, 5_1(763) -> 762
, 5_1(766) -> 765
, 5_1(782) -> 781
, 5_1(799) -> 798
, 5_1(802) -> 801
, 5_1(831) -> 830
, 5_1(838) -> 837
, 5_1(840) -> 839
, 5_1(850) -> 849
, 5_1(854) -> 853
, 5_1(861) -> 860
, 5_1(872) -> 871
, 5_1(874) -> 873
, 5_1(883) -> 882
, 5_1(896) -> 895
, 5_1(898) -> 897
, 5_1(901) -> 900
, 5_1(914) -> 913
, 5_1(924) -> 923
, 5_1(945) -> 944
, 5_1(947) -> 946
, 5_1(952) -> 951
, 5_1(955) -> 954
, 5_1(959) -> 958
, 5_1(967) -> 966
, 5_1(977) -> 976
, 5_1(982) -> 593
, 5_1(986) -> 985
, 5_1(997) -> 996
, 5_1(1003) -> 1002
, 5_1(1006) -> 1005
, 5_1(1021) -> 1020
, 5_1(1022) -> 1021
, 5_1(1029) -> 1028
, 5_1(1043) -> 1042
, 5_1(1048) -> 1047
, 5_1(1074) -> 1073
, 5_1(1079) -> 100
, 5_1(1080) -> 100
, 5_1(1086) -> 1085
, 5_1(1092) -> 1091
, 5_1(1094) -> 1093
, 5_1(1101) -> 1100
, 5_1(1105) -> 1104
, 5_1(1109) -> 1108
, 5_1(1110) -> 1109
, 5_1(1111) -> 1110
, 5_1(1115) -> 1114
, 5_1(1118) -> 1117
, 5_1(1120) -> 1119
, 5_1(1128) -> 1127
, 5_1(1132) -> 1131
, 5_1(1140) -> 1139
, 5_1(1143) -> 1142
, 5_1(1152) -> 1151
, 5_1(1164) -> 1163
, 5_1(1177) -> 2
, 5_1(1181) -> 1180
, 5_1(1182) -> 1181
, 5_1(1184) -> 1183
, 5_1(1185) -> 1184
, 5_1(1190) -> 1189
, 5_1(1196) -> 1195
, 5_1(1202) -> 1201
, 5_1(1208) -> 1207
, 5_1(1209) -> 1208
, 5_1(1211) -> 1210
, 5_1(1221) -> 1220
, 5_1(1223) -> 1222
, 5_1(1232) -> 1231
, 5_1(1234) -> 1233
, 5_1(1237) -> 1236
, 5_1(1244) -> 1243
, 5_1(1245) -> 1244
, 5_1(1248) -> 1247
, 5_1(1250) -> 1249
, 5_1(1257) -> 1256
, 5_1(1262) -> 1261
, 5_1(1266) -> 1265
, 5_1(1267) -> 1266
, 5_1(1272) -> 1271
, 5_1(1275) -> 1274
, 5_1(1279) -> 1278
, 5_1(1288) -> 1287
, 5_1(1290) -> 1289
, 5_1(1293) -> 1292
, 5_1(1305) -> 1304
, 5_1(1306) -> 1305
, 5_1(1317) -> 1316
, 5_1(1322) -> 1321
, 5_1(1327) -> 1326
, 5_1(1329) -> 1328
, 5_1(1337) -> 1336
, 5_1(1338) -> 1337
, 5_1(1340) -> 1339
, 5_1(1342) -> 1341
, 5_1(1344) -> 1343
, 5_1(1366) -> 1365
, 5_1(1376) -> 1375
, 5_1(1379) -> 1378
, 5_1(1383) -> 1382
, 5_1(1387) -> 1386
, 5_1(1391) -> 1390
, 5_1(1392) -> 1391
, 5_1(1397) -> 1396
, 5_1(1398) -> 1397
, 5_1(1400) -> 1399
, 5_1(1401) -> 1400
, 5_1(1407) -> 1406
, 5_1(1429) -> 1428
, 5_1(1433) -> 1432
, 5_1(1440) -> 1439
, 5_1(1449) -> 1448
, 5_1(1456) -> 1455
, 5_1(1462) -> 1461
, 5_1(1464) -> 1463
, 5_1(1469) -> 1468
, 5_1(1471) -> 1470
, 5_1(1495) -> 1494
, 5_1(1504) -> 1503
, 5_1(1510) -> 1509
, 5_1(1518) -> 1517
, 5_1(1520) -> 1519
, 5_1(1521) -> 1520
, 5_1(1524) -> 1523
, 5_1(1527) -> 1526
, 5_1(1533) -> 1532
, 5_1(1535) -> 1534
, 5_1(1545) -> 1544
, 5_1(1547) -> 1546
, 5_1(1556) -> 1555
, 5_1(1557) -> 1556
, 5_1(1570) -> 1569
, 5_1(1572) -> 1571
, 5_1(1574) -> 1573
, 5_1(1583) -> 1582
, 5_1(1585) -> 1584
, 5_1(1596) -> 1595
, 5_1(1606) -> 1605
, 5_1(1612) -> 1611
, 5_1(1633) -> 1632
, 5_1(1635) -> 1634
, 5_1(1636) -> 1635
, 5_1(1638) -> 1637
, 5_1(1641) -> 1640
, 5_1(1643) -> 1642
, 5_1(1650) -> 1649
, 5_1(1652) -> 1651
, 5_1(1658) -> 788
, 5_1(1667) -> 1666
, 5_1(1687) -> 1686
, 5_1(1695) -> 1694
, 5_1(1697) -> 1696
, 5_1(1717) -> 1716
, 5_1(1719) -> 1718
, 5_1(1728) -> 1727
, 5_1(1735) -> 1734
, 5_1(1740) -> 1739
, 5_1(1755) -> 1754
, 5_1(1757) -> 1756
, 5_1(1764) -> 1763
, 5_1(1774) -> 1773
, 5_1(1775) -> 1774
, 5_1(1789) -> 1788
, 5_1(1790) -> 1789
, 5_1(1799) -> 1798
, 5_1(1800) -> 1799
, 5_1(1811) -> 1810
, 5_1(1817) -> 1816
, 5_1(1823) -> 1822
, 5_1(1838) -> 1837
, 5_1(1844) -> 1843
, 5_1(1848) -> 100
, 5_1(1855) -> 1854
, 5_1(1860) -> 1859
, 5_1(1863) -> 1862
, 5_1(1873) -> 1872
, 5_1(1879) -> 1878
, 5_1(1884) -> 1883
, 5_1(1889) -> 1888
, 5_1(1909) -> 1908
, 5_1(1911) -> 1910
, 5_1(1912) -> 1911
, 5_1(1914) -> 1913
, 5_1(1917) -> 1916
, 5_1(1924) -> 1923
, 4_0(1) -> 1
, 4_1(1) -> 787
, 4_1(5) -> 4
, 4_1(18) -> 17
, 4_1(20) -> 19
, 4_1(21) -> 20
, 4_1(37) -> 36
, 4_1(42) -> 41
, 4_1(45) -> 44
, 4_1(47) -> 46
, 4_1(61) -> 60
, 4_1(70) -> 69
, 4_1(73) -> 72
, 4_1(82) -> 81
, 4_1(85) -> 84
, 4_1(99) -> 98
, 4_1(100) -> 99
, 4_1(101) -> 1
, 4_1(101) -> 100
, 4_1(101) -> 592
, 4_1(101) -> 883
, 4_1(103) -> 102
, 4_1(105) -> 104
, 4_1(111) -> 110
, 4_1(126) -> 125
, 4_1(132) -> 131
, 4_1(144) -> 143
, 4_1(150) -> 149
, 4_1(160) -> 159
, 4_1(164) -> 163
, 4_1(168) -> 167
, 4_1(173) -> 172
, 4_1(182) -> 181
, 4_1(224) -> 223
, 4_1(258) -> 257
, 4_1(278) -> 277
, 4_1(280) -> 279
, 4_1(289) -> 288
, 4_1(296) -> 295
, 4_1(303) -> 302
, 4_1(306) -> 305
, 4_1(307) -> 306
, 4_1(312) -> 311
, 4_1(313) -> 312
, 4_1(320) -> 319
, 4_1(328) -> 327
, 4_1(341) -> 340
, 4_1(350) -> 349
, 4_1(363) -> 362
, 4_1(366) -> 365
, 4_1(397) -> 787
, 4_1(410) -> 409
, 4_1(427) -> 426
, 4_1(433) -> 432
, 4_1(443) -> 442
, 4_1(444) -> 443
, 4_1(457) -> 456
, 4_1(462) -> 461
, 4_1(464) -> 463
, 4_1(466) -> 465
, 4_1(468) -> 467
, 4_1(472) -> 471
, 4_1(481) -> 480
, 4_1(488) -> 487
, 4_1(490) -> 489
, 4_1(501) -> 500
, 4_1(502) -> 501
, 4_1(503) -> 502
, 4_1(510) -> 509
, 4_1(513) -> 512
, 4_1(517) -> 516
, 4_1(525) -> 524
, 4_1(527) -> 526
, 4_1(537) -> 536
, 4_1(538) -> 537
, 4_1(542) -> 541
, 4_1(547) -> 546
, 4_1(553) -> 552
, 4_1(558) -> 557
, 4_1(562) -> 561
, 4_1(563) -> 562
, 4_1(566) -> 565
, 4_1(567) -> 566
, 4_1(570) -> 569
, 4_1(571) -> 570
, 4_1(572) -> 571
, 4_1(590) -> 589
, 4_1(592) -> 1272
, 4_1(602) -> 601
, 4_1(613) -> 612
, 4_1(621) -> 620
, 4_1(623) -> 622
, 4_1(629) -> 628
, 4_1(649) -> 648
, 4_1(659) -> 658
, 4_1(676) -> 675
, 4_1(681) -> 680
, 4_1(685) -> 684
, 4_1(691) -> 299
, 4_1(698) -> 697
, 4_1(701) -> 700
, 4_1(702) -> 701
, 4_1(704) -> 703
, 4_1(710) -> 709
, 4_1(711) -> 710
, 4_1(730) -> 729
, 4_1(732) -> 731
, 4_1(746) -> 745
, 4_1(749) -> 748
, 4_1(750) -> 749
, 4_1(752) -> 751
, 4_1(764) -> 763
, 4_1(765) -> 764
, 4_1(770) -> 769
, 4_1(778) -> 777
, 4_1(779) -> 778
, 4_1(783) -> 782
, 4_1(785) -> 784
, 4_1(788) -> 200
, 4_1(790) -> 789
, 4_1(796) -> 795
, 4_1(805) -> 804
, 4_1(809) -> 808
, 4_1(810) -> 809
, 4_1(814) -> 813
, 4_1(819) -> 818
, 4_1(822) -> 821
, 4_1(829) -> 828
, 4_1(847) -> 846
, 4_1(853) -> 852
, 4_1(856) -> 855
, 4_1(859) -> 858
, 4_1(863) -> 862
, 4_1(870) -> 869
, 4_1(886) -> 885
, 4_1(890) -> 889
, 4_1(891) -> 890
, 4_1(892) -> 891
, 4_1(902) -> 901
, 4_1(917) -> 916
, 4_1(918) -> 917
, 4_1(934) -> 933
, 4_1(935) -> 934
, 4_1(936) -> 935
, 4_1(938) -> 937
, 4_1(940) -> 939
, 4_1(949) -> 948
, 4_1(954) -> 953
, 4_1(956) -> 955
, 4_1(969) -> 968
, 4_1(971) -> 970
, 4_1(978) -> 977
, 4_1(981) -> 1847
, 4_1(1013) -> 1012
, 4_1(1017) -> 1016
, 4_1(1037) -> 1036
, 4_1(1051) -> 1050
, 4_1(1053) -> 1052
, 4_1(1057) -> 1056
, 4_1(1062) -> 1061
, 4_1(1063) -> 1062
, 4_1(1064) -> 1063
, 4_1(1070) -> 1069
, 4_1(1078) -> 589
, 4_1(1079) -> 787
, 4_1(1083) -> 1082
, 4_1(1089) -> 1088
, 4_1(1090) -> 1089
, 4_1(1093) -> 1092
, 4_1(1106) -> 1105
, 4_1(1119) -> 1118
, 4_1(1125) -> 1124
, 4_1(1127) -> 1126
, 4_1(1138) -> 1137
, 4_1(1141) -> 1140
, 4_1(1160) -> 1159
, 4_1(1165) -> 1164
, 4_1(1172) -> 1171
, 4_1(1188) -> 1187
, 4_1(1198) -> 1197
, 4_1(1204) -> 1203
, 4_1(1215) -> 1214
, 4_1(1218) -> 1217
, 4_1(1220) -> 1219
, 4_1(1235) -> 1234
, 4_1(1238) -> 1237
, 4_1(1241) -> 1240
, 4_1(1264) -> 1263
, 4_1(1273) -> 1272
, 4_1(1278) -> 1277
, 4_1(1299) -> 1298
, 4_1(1303) -> 1302
, 4_1(1313) -> 1312
, 4_1(1334) -> 1333
, 4_1(1336) -> 1335
, 4_1(1346) -> 1345
, 4_1(1363) -> 1362
, 4_1(1368) -> 1367
, 4_1(1371) -> 1370
, 4_1(1374) -> 1373
, 4_1(1378) -> 1377
, 4_1(1380) -> 1379
, 4_1(1381) -> 1380
, 4_1(1396) -> 1395
, 4_1(1405) -> 1404
, 4_1(1409) -> 1408
, 4_1(1425) -> 1424
, 4_1(1432) -> 1431
, 4_1(1459) -> 1458
, 4_1(1472) -> 1471
, 4_1(1488) -> 1487
, 4_1(1489) -> 1488
, 4_1(1496) -> 1495
, 4_1(1498) -> 1497
, 4_1(1502) -> 1501
, 4_1(1503) -> 1502
, 4_1(1514) -> 1513
, 4_1(1522) -> 1521
, 4_1(1529) -> 1528
, 4_1(1532) -> 1531
, 4_1(1544) -> 1543
, 4_1(1550) -> 1549
, 4_1(1560) -> 1559
, 4_1(1562) -> 1561
, 4_1(1563) -> 1562
, 4_1(1568) -> 1567
, 4_1(1578) -> 1577
, 4_1(1579) -> 1578
, 4_1(1587) -> 1586
, 4_1(1598) -> 1597
, 4_1(1600) -> 1599
, 4_1(1604) -> 1603
, 4_1(1605) -> 1604
, 4_1(1611) -> 1610
, 4_1(1623) -> 1622
, 4_1(1626) -> 1625
, 4_1(1646) -> 1645
, 4_1(1647) -> 1646
, 4_1(1668) -> 1667
, 4_1(1677) -> 1676
, 4_1(1681) -> 1680
, 4_1(1686) -> 1685
, 4_1(1692) -> 1691
, 4_1(1699) -> 1698
, 4_1(1700) -> 1699
, 4_1(1723) -> 1722
, 4_1(1726) -> 1725
, 4_1(1727) -> 1726
, 4_1(1746) -> 1745
, 4_1(1749) -> 1748
, 4_1(1750) -> 1749
, 4_1(1751) -> 1750
, 4_1(1768) -> 1767
, 4_1(1773) -> 1772
, 4_1(1785) -> 1784
, 4_1(1793) -> 1792
, 4_1(1795) -> 1794
, 4_1(1798) -> 1797
, 4_1(1802) -> 1801
, 4_1(1827) -> 1826
, 4_1(1830) -> 1829
, 4_1(1837) -> 1836
, 4_1(1849) -> 1848
, 4_1(1852) -> 1851
, 4_1(1853) -> 1852
, 4_1(1856) -> 1855
, 4_1(1867) -> 1866
, 4_1(1905) -> 1904
, 4_1(1908) -> 1907
, 4_1(1920) -> 1919
, 4_1(1941) -> 1940
, 0_0(1) -> 1
, 0_1(1) -> 199
, 0_1(2) -> 1
, 0_1(2) -> 100
, 0_1(2) -> 198
, 0_1(2) -> 199
, 0_1(2) -> 296
, 0_1(2) -> 491
, 0_1(2) -> 494
, 0_1(2) -> 592
, 0_1(2) -> 787
, 0_1(2) -> 883
, 0_1(3) -> 2
, 0_1(7) -> 6
, 0_1(8) -> 7
, 0_1(11) -> 10
, 0_1(15) -> 14
, 0_1(24) -> 23
, 0_1(25) -> 24
, 0_1(27) -> 26
, 0_1(29) -> 28
, 0_1(30) -> 29
, 0_1(31) -> 30
, 0_1(34) -> 33
, 0_1(35) -> 34
, 0_1(46) -> 45
, 0_1(51) -> 50
, 0_1(67) -> 66
, 0_1(84) -> 83
, 0_1(86) -> 85
, 0_1(87) -> 86
, 0_1(89) -> 88
, 0_1(94) -> 93
, 0_1(98) -> 97
, 0_1(101) -> 2
, 0_1(102) -> 101
, 0_1(110) -> 109
, 0_1(114) -> 113
, 0_1(116) -> 115
, 0_1(121) -> 120
, 0_1(125) -> 124
, 0_1(128) -> 127
, 0_1(133) -> 132
, 0_1(135) -> 134
, 0_1(141) -> 140
, 0_1(147) -> 146
, 0_1(158) -> 157
, 0_1(161) -> 160
, 0_1(165) -> 164
, 0_1(167) -> 166
, 0_1(175) -> 174
, 0_1(187) -> 186
, 0_1(190) -> 189
, 0_1(194) -> 193
, 0_1(197) -> 196
, 0_1(199) -> 198
, 0_1(203) -> 202
, 0_1(205) -> 204
, 0_1(211) -> 210
, 0_1(215) -> 214
, 0_1(216) -> 215
, 0_1(217) -> 216
, 0_1(221) -> 220
, 0_1(227) -> 226
, 0_1(230) -> 229
, 0_1(231) -> 230
, 0_1(239) -> 238
, 0_1(247) -> 246
, 0_1(248) -> 247
, 0_1(252) -> 251
, 0_1(256) -> 255
, 0_1(257) -> 256
, 0_1(265) -> 264
, 0_1(266) -> 265
, 0_1(270) -> 269
, 0_1(271) -> 270
, 0_1(272) -> 271
, 0_1(277) -> 276
, 0_1(279) -> 278
, 0_1(284) -> 283
, 0_1(285) -> 284
, 0_1(287) -> 286
, 0_1(294) -> 293
, 0_1(297) -> 296
, 0_1(299) -> 200
, 0_1(300) -> 299
, 0_1(304) -> 303
, 0_1(314) -> 313
, 0_1(315) -> 314
, 0_1(317) -> 316
, 0_1(322) -> 321
, 0_1(337) -> 336
, 0_1(339) -> 338
, 0_1(340) -> 339
, 0_1(346) -> 345
, 0_1(352) -> 351
, 0_1(355) -> 354
, 0_1(356) -> 355
, 0_1(357) -> 356
, 0_1(359) -> 358
, 0_1(368) -> 367
, 0_1(370) -> 369
, 0_1(374) -> 373
, 0_1(378) -> 377
, 0_1(381) -> 380
, 0_1(382) -> 381
, 0_1(385) -> 384
, 0_1(386) -> 385
, 0_1(389) -> 388
, 0_1(390) -> 389
, 0_1(392) -> 391
, 0_1(393) -> 392
, 0_1(396) -> 199
, 0_1(400) -> 399
, 0_1(404) -> 403
, 0_1(415) -> 414
, 0_1(418) -> 417
, 0_1(421) -> 420
, 0_1(422) -> 421
, 0_1(423) -> 422
, 0_1(432) -> 431
, 0_1(434) -> 433
, 0_1(435) -> 434
, 0_1(447) -> 446
, 0_1(448) -> 447
, 0_1(449) -> 448
, 0_1(450) -> 449
, 0_1(452) -> 451
, 0_1(454) -> 453
, 0_1(455) -> 454
, 0_1(461) -> 460
, 0_1(470) -> 469
, 0_1(473) -> 472
, 0_1(475) -> 474
, 0_1(478) -> 477
, 0_1(479) -> 478
, 0_1(484) -> 483
, 0_1(492) -> 491
, 0_1(493) -> 492
, 0_1(494) -> 690
, 0_1(498) -> 497
, 0_1(499) -> 498
, 0_1(500) -> 499
, 0_1(505) -> 504
, 0_1(515) -> 514
, 0_1(519) -> 518
, 0_1(522) -> 521
, 0_1(529) -> 528
, 0_1(536) -> 535
, 0_1(544) -> 543
, 0_1(549) -> 548
, 0_1(557) -> 556
, 0_1(560) -> 559
, 0_1(561) -> 560
, 0_1(565) -> 564
, 0_1(568) -> 567
, 0_1(574) -> 573
, 0_1(575) -> 574
, 0_1(581) -> 580
, 0_1(586) -> 585
, 0_1(587) -> 586
, 0_1(592) -> 591
, 0_1(594) -> 199
, 0_1(601) -> 600
, 0_1(605) -> 604
, 0_1(609) -> 608
, 0_1(610) -> 609
, 0_1(611) -> 610
, 0_1(617) -> 616
, 0_1(618) -> 617
, 0_1(619) -> 618
, 0_1(627) -> 626
, 0_1(628) -> 627
, 0_1(630) -> 629
, 0_1(631) -> 630
, 0_1(635) -> 634
, 0_1(638) -> 637
, 0_1(639) -> 638
, 0_1(653) -> 652
, 0_1(657) -> 656
, 0_1(658) -> 657
, 0_1(664) -> 663
, 0_1(666) -> 665
, 0_1(669) -> 668
, 0_1(678) -> 677
, 0_1(688) -> 687
, 0_1(707) -> 706
, 0_1(709) -> 708
, 0_1(715) -> 714
, 0_1(716) -> 715
, 0_1(718) -> 717
, 0_1(722) -> 721
, 0_1(723) -> 722
, 0_1(731) -> 730
, 0_1(741) -> 740
, 0_1(743) -> 742
, 0_1(744) -> 743
, 0_1(753) -> 752
, 0_1(757) -> 756
, 0_1(771) -> 770
, 0_1(774) -> 773
, 0_1(775) -> 774
, 0_1(781) -> 780
, 0_1(784) -> 783
, 0_1(787) -> 786
, 0_1(795) -> 794
, 0_1(800) -> 799
, 0_1(803) -> 802
, 0_1(804) -> 803
, 0_1(811) -> 810
, 0_1(812) -> 811
, 0_1(815) -> 814
, 0_1(824) -> 823
, 0_1(825) -> 824
, 0_1(833) -> 832
, 0_1(837) -> 836
, 0_1(842) -> 841
, 0_1(855) -> 854
, 0_1(869) -> 868
, 0_1(882) -> 881
, 0_1(885) -> 593
, 0_1(887) -> 886
, 0_1(889) -> 888
, 0_1(899) -> 898
, 0_1(903) -> 902
, 0_1(904) -> 903
, 0_1(905) -> 904
, 0_1(908) -> 907
, 0_1(909) -> 908
, 0_1(915) -> 914
, 0_1(922) -> 921
, 0_1(923) -> 922
, 0_1(926) -> 925
, 0_1(928) -> 927
, 0_1(942) -> 941
, 0_1(948) -> 947
, 0_1(953) -> 952
, 0_1(970) -> 969
, 0_1(975) -> 974
, 0_1(987) -> 986
, 0_1(992) -> 991
, 0_1(996) -> 995
, 0_1(999) -> 998
, 0_1(1004) -> 1003
, 0_1(1007) -> 1006
, 0_1(1008) -> 1007
, 0_1(1016) -> 1015
, 0_1(1042) -> 1041
, 0_1(1044) -> 1043
, 0_1(1046) -> 1045
, 0_1(1047) -> 1046
, 0_1(1050) -> 1049
, 0_1(1052) -> 1051
, 0_1(1061) -> 1060
, 0_1(1066) -> 1065
, 0_1(1068) -> 1067
, 0_1(1075) -> 1074
, 0_1(1084) -> 1083
, 0_1(1097) -> 1096
, 0_1(1099) -> 1098
, 0_1(1100) -> 1099
, 0_1(1103) -> 1102
, 0_1(1117) -> 1116
, 0_1(1122) -> 1121
, 0_1(1131) -> 1130
, 0_1(1139) -> 1138
, 0_1(1148) -> 1147
, 0_1(1153) -> 1152
, 0_1(1154) -> 1153
, 0_1(1155) -> 1154
, 0_1(1156) -> 1155
, 0_1(1158) -> 1157
, 0_1(1159) -> 1158
, 0_1(1163) -> 1162
, 0_1(1166) -> 1165
, 0_1(1168) -> 1167
, 0_1(1178) -> 1177
, 0_1(1183) -> 1182
, 0_1(1186) -> 1185
, 0_1(1193) -> 1192
, 0_1(1203) -> 1202
, 0_1(1210) -> 1209
, 0_1(1212) -> 1211
, 0_1(1213) -> 1212
, 0_1(1214) -> 1213
, 0_1(1217) -> 1216
, 0_1(1225) -> 1224
, 0_1(1226) -> 1225
, 0_1(1227) -> 1226
, 0_1(1228) -> 1227
, 0_1(1230) -> 1229
, 0_1(1231) -> 1230
, 0_1(1239) -> 1238
, 0_1(1240) -> 1239
, 0_1(1253) -> 1252
, 0_1(1258) -> 1257
, 0_1(1260) -> 1259
, 0_1(1263) -> 1262
, 0_1(1282) -> 1281
, 0_1(1284) -> 1283
, 0_1(1286) -> 1285
, 0_1(1294) -> 1293
, 0_1(1314) -> 1313
, 0_1(1316) -> 1315
, 0_1(1321) -> 1320
, 0_1(1323) -> 1322
, 0_1(1328) -> 1327
, 0_1(1330) -> 1329
, 0_1(1331) -> 1330
, 0_1(1339) -> 1338
, 0_1(1341) -> 1340
, 0_1(1350) -> 1349
, 0_1(1359) -> 1358
, 0_1(1360) -> 1359
, 0_1(1361) -> 1360
, 0_1(1362) -> 1361
, 0_1(1369) -> 1368
, 0_1(1372) -> 1371
, 0_1(1373) -> 1372
, 0_1(1377) -> 1376
, 0_1(1382) -> 1381
, 0_1(1390) -> 1389
, 0_1(1395) -> 1394
, 0_1(1406) -> 1405
, 0_1(1408) -> 1407
, 0_1(1410) -> 1409
, 0_1(1415) -> 1414
, 0_1(1419) -> 1418
, 0_1(1427) -> 1426
, 0_1(1434) -> 1433
, 0_1(1439) -> 1438
, 0_1(1443) -> 1442
, 0_1(1445) -> 1444
, 0_1(1452) -> 1451
, 0_1(1453) -> 1452
, 0_1(1454) -> 1453
, 0_1(1457) -> 1456
, 0_1(1468) -> 1467
, 0_1(1474) -> 1473
, 0_1(1477) -> 1476
, 0_1(1478) -> 1477
, 0_1(1479) -> 1478
, 0_1(1480) -> 1479
, 0_1(1482) -> 1481
, 0_1(1483) -> 1482
, 0_1(1490) -> 1489
, 0_1(1493) -> 1492
, 0_1(1517) -> 1516
, 0_1(1519) -> 1518
, 0_1(1528) -> 1527
, 0_1(1531) -> 1530
, 0_1(1538) -> 1537
, 0_1(1540) -> 1539
, 0_1(1546) -> 1545
, 0_1(1548) -> 1547
, 0_1(1549) -> 1548
, 0_1(1551) -> 1550
, 0_1(1553) -> 1552
, 0_1(1554) -> 1553
, 0_1(1565) -> 1564
, 0_1(1567) -> 1566
, 0_1(1571) -> 1570
, 0_1(1573) -> 1572
, 0_1(1575) -> 1574
, 0_1(1584) -> 1583
, 0_1(1591) -> 1590
, 0_1(1594) -> 1593
, 0_1(1595) -> 1594
, 0_1(1609) -> 1608
, 0_1(1614) -> 1613
, 0_1(1615) -> 1614
, 0_1(1616) -> 1615
, 0_1(1627) -> 1626
, 0_1(1629) -> 1628
, 0_1(1630) -> 1629
, 0_1(1631) -> 1630
, 0_1(1642) -> 1641
, 0_1(1645) -> 1644
, 0_1(1651) -> 1650
, 0_1(1653) -> 1652
, 0_1(1655) -> 1654
, 0_1(1657) -> 1656
, 0_1(1660) -> 1659
, 0_1(1662) -> 1661
, 0_1(1663) -> 1662
, 0_1(1666) -> 1665
, 0_1(1672) -> 1671
, 0_1(1673) -> 1672
, 0_1(1679) -> 1678
, 0_1(1682) -> 1681
, 0_1(1683) -> 1682
, 0_1(1688) -> 1687
, 0_1(1698) -> 1697
, 0_1(1703) -> 1702
, 0_1(1721) -> 1720
, 0_1(1724) -> 1723
, 0_1(1731) -> 1730
, 0_1(1732) -> 1731
, 0_1(1737) -> 1736
, 0_1(1741) -> 1740
, 0_1(1743) -> 1742
, 0_1(1758) -> 1757
, 0_1(1762) -> 1761
, 0_1(1776) -> 1775
, 0_1(1778) -> 1777
, 0_1(1779) -> 1778
, 0_1(1782) -> 1781
, 0_1(1783) -> 1782
, 0_1(1787) -> 1786
, 0_1(1791) -> 1790
, 0_1(1794) -> 1793
, 0_1(1804) -> 1803
, 0_1(1808) -> 1807
, 0_1(1813) -> 1812
, 0_1(1818) -> 1817
, 0_1(1821) -> 1820
, 0_1(1832) -> 1831
, 0_1(1836) -> 1835
, 0_1(1842) -> 1841
, 0_1(1845) -> 1844
, 0_1(1846) -> 1845
, 0_1(1847) -> 1846
, 0_1(1850) -> 1849
, 0_1(1851) -> 1850
, 0_1(1874) -> 1873
, 0_1(1875) -> 1874
, 0_1(1878) -> 1877
, 0_1(1880) -> 1879
, 0_1(1881) -> 1880
, 0_1(1883) -> 1882
, 0_1(1893) -> 1892
, 0_1(1895) -> 1894
, 0_1(1897) -> 1896
, 0_1(1898) -> 1897
, 0_1(1900) -> 1899
, 0_1(1902) -> 1901
, 0_1(1906) -> 1905
, 0_1(1918) -> 1917
, 0_1(1927) -> 1926
, 0_1(1928) -> 1927
, 0_1(1930) -> 1929
, 0_1(1934) -> 1933
, 0_1(1936) -> 1935
, 0_1(1937) -> 1936
, 0_1(1942) -> 1941
, 3_0(1) -> 1
, 3_1(1) -> 298
, 3_1(12) -> 11
, 3_1(32) -> 31
, 3_1(39) -> 38
, 3_1(41) -> 40
, 3_1(50) -> 49
, 3_1(52) -> 51
, 3_1(57) -> 56
, 3_1(59) -> 58
, 3_1(65) -> 64
, 3_1(71) -> 70
, 3_1(74) -> 73
, 3_1(76) -> 75
, 3_1(79) -> 78
, 3_1(83) -> 82
, 3_1(90) -> 89
, 3_1(100) -> 1369
, 3_1(101) -> 298
, 3_1(122) -> 121
, 3_1(124) -> 123
, 3_1(131) -> 130
, 3_1(137) -> 136
, 3_1(140) -> 139
, 3_1(143) -> 142
, 3_1(145) -> 144
, 3_1(169) -> 168
, 3_1(171) -> 170
, 3_1(174) -> 173
, 3_1(178) -> 177
, 3_1(183) -> 182
, 3_1(186) -> 185
, 3_1(189) -> 188
, 3_1(193) -> 192
, 3_1(199) -> 1657
, 3_1(201) -> 200
, 3_1(202) -> 201
, 3_1(209) -> 208
, 3_1(240) -> 239
, 3_1(241) -> 240
, 3_1(268) -> 267
, 3_1(276) -> 275
, 3_1(282) -> 281
, 3_1(283) -> 282
, 3_1(291) -> 290
, 3_1(298) -> 297
, 3_1(302) -> 301
, 3_1(305) -> 304
, 3_1(318) -> 317
, 3_1(326) -> 325
, 3_1(327) -> 326
, 3_1(329) -> 328
, 3_1(331) -> 330
, 3_1(342) -> 341
, 3_1(360) -> 359
, 3_1(365) -> 364
, 3_1(367) -> 366
, 3_1(373) -> 372
, 3_1(380) -> 379
, 3_1(384) -> 383
, 3_1(388) -> 387
, 3_1(391) -> 390
, 3_1(395) -> 394
, 3_1(396) -> 298
, 3_1(397) -> 298
, 3_1(399) -> 398
, 3_1(409) -> 408
, 3_1(412) -> 411
, 3_1(413) -> 412
, 3_1(416) -> 415
, 3_1(420) -> 419
, 3_1(426) -> 425
, 3_1(445) -> 444
, 3_1(453) -> 452
, 3_1(459) -> 458
, 3_1(477) -> 476
, 3_1(483) -> 482
, 3_1(495) -> 298
, 3_1(496) -> 495
, 3_1(504) -> 503
, 3_1(509) -> 508
, 3_1(511) -> 510
, 3_1(520) -> 519
, 3_1(531) -> 530
, 3_1(535) -> 534
, 3_1(540) -> 539
, 3_1(551) -> 550
, 3_1(554) -> 553
, 3_1(556) -> 555
, 3_1(559) -> 558
, 3_1(573) -> 572
, 3_1(584) -> 583
, 3_1(585) -> 584
, 3_1(588) -> 587
, 3_1(589) -> 1558
, 3_1(592) -> 1465
, 3_1(593) -> 1
, 3_1(593) -> 298
, 3_1(593) -> 787
, 3_1(597) -> 596
, 3_1(599) -> 598
, 3_1(607) -> 606
, 3_1(608) -> 607
, 3_1(616) -> 615
, 3_1(620) -> 619
, 3_1(637) -> 636
, 3_1(641) -> 640
, 3_1(655) -> 654
, 3_1(656) -> 655
, 3_1(660) -> 659
, 3_1(663) -> 662
, 3_1(667) -> 666
, 3_1(680) -> 679
, 3_1(682) -> 681
, 3_1(683) -> 682
, 3_1(695) -> 694
, 3_1(708) -> 707
, 3_1(721) -> 720
, 3_1(726) -> 725
, 3_1(727) -> 726
, 3_1(728) -> 727
, 3_1(735) -> 734
, 3_1(736) -> 735
, 3_1(738) -> 737
, 3_1(745) -> 744
, 3_1(756) -> 755
, 3_1(762) -> 761
, 3_1(769) -> 768
, 3_1(776) -> 775
, 3_1(789) -> 788
, 3_1(791) -> 790
, 3_1(793) -> 792
, 3_1(798) -> 797
, 3_1(823) -> 822
, 3_1(827) -> 826
, 3_1(828) -> 827
, 3_1(830) -> 829
, 3_1(832) -> 831
, 3_1(845) -> 844
, 3_1(857) -> 856
, 3_1(862) -> 861
, 3_1(876) -> 875
, 3_1(881) -> 880
, 3_1(895) -> 894
, 3_1(906) -> 905
, 3_1(916) -> 915
, 3_1(925) -> 924
, 3_1(931) -> 930
, 3_1(932) -> 931
, 3_1(941) -> 940
, 3_1(951) -> 950
, 3_1(961) -> 960
, 3_1(963) -> 962
, 3_1(964) -> 963
, 3_1(965) -> 964
, 3_1(974) -> 973
, 3_1(976) -> 975
, 3_1(984) -> 983
, 3_1(991) -> 990
, 3_1(1000) -> 999
, 3_1(1001) -> 1000
, 3_1(1002) -> 1001
, 3_1(1009) -> 1008
, 3_1(1011) -> 1010
, 3_1(1012) -> 1011
, 3_1(1015) -> 1014
, 3_1(1030) -> 1029
, 3_1(1033) -> 1032
, 3_1(1036) -> 1035
, 3_1(1039) -> 1038
, 3_1(1041) -> 1040
, 3_1(1056) -> 1055
, 3_1(1059) -> 1058
, 3_1(1060) -> 1059
, 3_1(1071) -> 1070
, 3_1(1076) -> 1075
, 3_1(1079) -> 298
, 3_1(1082) -> 1081
, 3_1(1085) -> 1084
, 3_1(1087) -> 1086
, 3_1(1088) -> 1087
, 3_1(1104) -> 1103
, 3_1(1107) -> 1106
, 3_1(1121) -> 1120
, 3_1(1126) -> 1125
, 3_1(1130) -> 1129
, 3_1(1142) -> 1141
, 3_1(1145) -> 1144
, 3_1(1161) -> 1160
, 3_1(1169) -> 1168
, 3_1(1171) -> 1170
, 3_1(1175) -> 1174
, 3_1(1179) -> 1178
, 3_1(1187) -> 1186
, 3_1(1189) -> 1188
, 3_1(1191) -> 1190
, 3_1(1192) -> 1191
, 3_1(1195) -> 1194
, 3_1(1197) -> 1196
, 3_1(1201) -> 1200
, 3_1(1216) -> 1215
, 3_1(1219) -> 1218
, 3_1(1224) -> 1223
, 3_1(1246) -> 1245
, 3_1(1247) -> 1246
, 3_1(1254) -> 1253
, 3_1(1259) -> 1258
, 3_1(1261) -> 1260
, 3_1(1265) -> 1264
, 3_1(1268) -> 1267
, 3_1(1269) -> 1268
, 3_1(1270) -> 1269
, 3_1(1274) -> 3
, 3_1(1276) -> 1275
, 3_1(1300) -> 1299
, 3_1(1307) -> 1306
, 3_1(1309) -> 1308
, 3_1(1310) -> 1309
, 3_1(1312) -> 1311
, 3_1(1320) -> 1319
, 3_1(1325) -> 1324
, 3_1(1326) -> 1325
, 3_1(1332) -> 1331
, 3_1(1333) -> 1332
, 3_1(1347) -> 1346
, 3_1(1349) -> 1348
, 3_1(1352) -> 1351
, 3_1(1353) -> 1352
, 3_1(1356) -> 1355
, 3_1(1367) -> 1366
, 3_1(1384) -> 1383
, 3_1(1389) -> 1388
, 3_1(1393) -> 1392
, 3_1(1404) -> 1403
, 3_1(1414) -> 1413
, 3_1(1416) -> 1415
, 3_1(1418) -> 1417
, 3_1(1424) -> 1423
, 3_1(1426) -> 1425
, 3_1(1430) -> 1429
, 3_1(1437) -> 1436
, 3_1(1442) -> 1441
, 3_1(1446) -> 1445
, 3_1(1450) -> 1449
, 3_1(1455) -> 1454
, 3_1(1460) -> 1459
, 3_1(1461) -> 1460
, 3_1(1465) -> 1464
, 3_1(1481) -> 1480
, 3_1(1487) -> 1486
, 3_1(1506) -> 1505
, 3_1(1509) -> 1508
, 3_1(1513) -> 1512
, 3_1(1515) -> 1514
, 3_1(1516) -> 1515
, 3_1(1526) -> 1525
, 3_1(1530) -> 1529
, 3_1(1534) -> 1533
, 3_1(1536) -> 1535
, 3_1(1537) -> 1536
, 3_1(1542) -> 1541
, 3_1(1552) -> 1551
, 3_1(1558) -> 1557
, 3_1(1559) -> 1558
, 3_1(1561) -> 396
, 3_1(1566) -> 1565
, 3_1(1577) -> 1576
, 3_1(1581) -> 1580
, 3_1(1586) -> 1585
, 3_1(1588) -> 1587
, 3_1(1590) -> 1589
, 3_1(1597) -> 1596
, 3_1(1602) -> 1601
, 3_1(1603) -> 1602
, 3_1(1608) -> 1607
, 3_1(1617) -> 1616
, 3_1(1625) -> 1624
, 3_1(1628) -> 1627
, 3_1(1634) -> 1633
, 3_1(1644) -> 1643
, 3_1(1654) -> 1653
, 3_1(1656) -> 1655
, 3_1(1665) -> 1664
, 3_1(1670) -> 1669
, 3_1(1675) -> 1674
, 3_1(1680) -> 1679
, 3_1(1694) -> 1693
, 3_1(1696) -> 1695
, 3_1(1708) -> 1707
, 3_1(1710) -> 1709
, 3_1(1713) -> 1712
, 3_1(1716) -> 1715
, 3_1(1720) -> 1719
, 3_1(1725) -> 1724
, 3_1(1730) -> 1729
, 3_1(1734) -> 1733
, 3_1(1736) -> 1735
, 3_1(1744) -> 1743
, 3_1(1753) -> 1752
, 3_1(1759) -> 1758
, 3_1(1760) -> 1759
, 3_1(1761) -> 1760
, 3_1(1765) -> 1764
, 3_1(1769) -> 1768
, 3_1(1771) -> 1770
, 3_1(1784) -> 1783
, 3_1(1801) -> 1800
, 3_1(1807) -> 1806
, 3_1(1815) -> 1814
, 3_1(1820) -> 1819
, 3_1(1826) -> 1825
, 3_1(1833) -> 1832
, 3_1(1839) -> 1838
, 3_1(1840) -> 1839
, 3_1(1841) -> 1840
, 3_1(1843) -> 1842
, 3_1(1858) -> 1857
, 3_1(1859) -> 1858
, 3_1(1862) -> 1861
, 3_1(1864) -> 1863
, 3_1(1865) -> 1864
, 3_1(1868) -> 1867
, 3_1(1872) -> 1871
, 3_1(1890) -> 1889
, 3_1(1899) -> 1898
, 3_1(1901) -> 1900
, 3_1(1904) -> 1903
, 3_1(1916) -> 1915
, 3_1(1923) -> 1922
, 3_1(1926) -> 1925
, 3_1(1931) -> 1930
, 3_1(1933) -> 1932}
Hurray, we answered YES(?,O(n^1))Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(4(5(2(1(4(0(4(5(5(4(0(5(3(1(3(3(5(0(4(1(2(1(4(3(3(2(5(1(2(0(3(0(2(1(3(4(4(3(1(4(0(3(1(3(1(0(3(1(3(5(4(0(2(0(4(0(3(3(1(3(2(0(5(4(1(0(2(2(4(4(1(2(2(2(1(5(0(2(1(4(1(3(4(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(4(5(0(0(5(2(0(3(1(1(0(2(2(4(5(4(4(1(1(0(0(2(0(5(0(0(0(3(2(0(0(1(4(2(3(5(3(4(5(5(4(0(4(2(2(3(0(3(2(5(1(5(3(2(3(5(4(1(1(1(3(2(0(5(5(4(3(5(4(3(5(3(5(2(3(5(2(4(3(0(4(0(0(5(0(3(2(5(2(0(1(1(5(0(4(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(4(3(4(3(1(3(0(1(2(5(4(4(4(2(0(1(1(5(5(5(0(5(1(0(0(4(4(2(1(1(1(5(4(2(2(2(1(3(3(1(5(4(4(4(1(1(3(2(1(3(2(4(4(3(4(4(0(3(2(4(5(2(2(5(1(2(4(1(3(4(1(2(5(2(1(4(3(3(1(2(1(3(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(4(5(4(1(2(2(2(0(4(2(2(0(5(0(2(5(5(1(0(3(2(3(0(4(2(0(2(5(3(4(0(2(0(1(3(1(2(3(0(1(3(4(3(5(0(2(1(4(2(2(5(1(1(2(2(0(5(4(0(2(2(4(0(2(0(4(3(5(3(1(4(3(0(1(1(3(2(2(2(4(3(2(1(3(0(2(3(0(2(1(3(0(1(1(0(5(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(1(2(3(0(3(1(2(5(3(2(2(3(4(1(3(1(1(5(0(2(5(2(4(1(2(1(1(5(2(1(0(4(4(4(5(5(1(1(2(4(5(5(3(5(1(2(4(4(5(0(1(0(5(5(3(3(5(2(4(4(4(2(1(0(0(4(3(1(4(5(1(1(5(1(4(4(3(4(4(4(2(0(1(3(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(3(3(0(5(0(5(1(2(3(5(0(2(5(5(0(0(0(5(5(2(0(5(5(4(5(2(0(5(5(0(0(5(1(2(5(1(1(1(0(3(3(5(5(2(5(1(0(0(1(2(5(0(1(2(2(0(0(4(5(2(1(2(1(5(0(0(5(3(2(0(0(0(1(1(2(3(0(4(0(4(2(3(3(0(0(1(0(5(4(1(3(2(5(0(1(4(0(3(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(0(5(1(1(3(4(1(2(4(3(2(1(1(2(4(1(2(4(4(5(1(0(3(1(0(4(5(5(3(5(2(1(4(5(4(2(2(4(2(2(0(0(3(1(1(0(1(3(3(4(1(4(3(0(4(3(4(2(1(3(1(4(3(4(2(5(5(4(0(0(5(3(4(5(1(2(5(3(3(4(3(0(5(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(0(2(3(4(0(3(4(4(5(1(5(2(4(4(0(0(5(0(3(5(4(2(0(5(1(2(3(3(4(3(1(3(2(5(2(2(1(0(2(0(0(4(3(1(1(2(0(1(2(5(4(1(0(5(1(0(0(0(2(0(3(2(5(4(2(3(4(3(0(5(0(5(5(3(0(1(5(1(0(5(3(0(0(2(3(0(0(1(3(0(0(3(0(0(5(3(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(4(3(2(2(3(4(4(5(3(4(1(1(0(2(3(1(5(2(1(3(5(3(1(1(1(4(4(5(2(4(1(1(5(0(1(3(1(3(3(1(3(2(3(4(5(1(1(5(5(5(1(1(3(3(1(5(1(3(4(4(0(0(2(1(2(3(2(5(3(1(1(2(5(1(2(0(0(3(4(3(3(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(1(2(3(0(1(2(1(0(5(2(2(5(3(4(1(3(3(5(0(3(2(0(1(3(0(0(0(5(2(3(4(2(2(5(5(0(4(0(0(2(5(1(2(5(1(2(4(4(3(5(0(0(0(0(2(0(3(0(0(1(4(5(3(2(0(4(2(4(5(4(2(4(5(0(2(4(0(5(0(1(3(0(0(2(4(2(3(0(1(2(5(4(5(4(2(0(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(3(5(5(1(4(0(3(5(1(3(0(4(1(5(1(4(3(3(2(2(4(5(5(1(5(4(4(0(2(4(4(1(1(2(3(2(2(2(1(2(0(2(4(5(3(1(5(3(4(4(0(2(1(4(1(2(3(3(4(3(1(5(3(4(1(4(0(4(5(2(4(1(5(1(1(0(4(2(1(4(3(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(2(3(5(0(0(0(4(4(4(3(0(5(2(2(3(4(3(1(4(5(0(2(4(1(0(3(5(0(5(2(4(2(4(2(0(2(3(2(1(1(3(0(4(4(1(3(2(4(1(0(2(2(4(1(0(2(3(5(4(3(2(3(0(4(3(0(0(4(4(5(0(4(4(0(1(4(4(4(3(0(0(2(2(2(5(5(0(5(1(3(3(0(0(3(2(4(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(2(1(2(3(2(5(3(3(4(0(2(0(3(3(2(0(3(4(3(3(2(1(4(0(2(4(0(5(1(5(5(5(4(1(4(5(0(4(1(3(1(1(0(3(3(5(5(3(4(3(2(4(1(0(3(2(1(3(1(0(5(2(5(3(4(4(2(4(1(4(5(0(0(0(1(1(3(4(1(2(1(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(2(5(2(3(5(3(1(0(4(1(1(0(1(3(3(0(0(0(1(4(2(1(3(0(0(0(3(4(5(4(1(2(5(0(0(4(0(0(5(5(5(0(1(3(0(0(5(3(5(1(2(1(2(1(2(4(2(2(1(0(1(3(3(0(0(4(3(2(2(3(0(2(0(3(5(0(1(5(2(5(5(1(4(1(0(2(3(4(3(3(2(4(5(5(0(2(5(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(2(3(2(2(1(1(2(4(4(3(2(1(0(2(5(4(2(2(1(3(3(2(5(5(5(4(2(1(2(0(5(5(1(4(3(0(3(2(1(2(1(5(5(3(5(0(0(1(3(3(4(4(0(3(0(2(2(1(3(2(2(1(5(1(1(2(0(5(2(0(4(2(1(2(4(1(5(3(2(4(4(0(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(4(5(2(2(3(5(2(4(5(2(4(4(5(4(5(1(0(3(0(4(4(1(1(1(0(0(5(0(2(2(3(0(0(5(1(3(3(3(1(4(0(4(2(5(3(3(2(3(1(1(0(1(0(0(3(4(5(5(4(4(5(4(0(5(2(3(0(5(2(5(5(3(5(4(4(5(1(2(3(4(0(1(1(0(0(3(2(4(4(2(0(5(4(0(4(1(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(1(4(1(3(0(4(3(0(4(3(0(1(1(0(0(0(4(5(3(2(4(1(4(2(0(1(4(4(5(5(3(1(0(3(4(3(2(5(1(5(1(4(2(1(4(1(5(2(0(5(3(1(2(0(1(5(4(3(4(3(3(3(5(4(1(1(3(5(5(2(2(1(1(1(3(2(4(1(3(3(5(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(3(4(3(2(3(2(0(4(2(3(5(0(2(5(0(0(4(1(1(2(4(4(0(0(1(4(0(1(2(2(4(2(2(4(3(0(0(2(3(3(4(3(5(3(0(2(1(2(0(5(1(5(2(0(2(1(3(1(4(1(2(5(2(2(4(5(0(4(3(2(4(2(5(3(4(1(2(1(1(1(0(4(2(5(2(5(2(3(2(1(1(2(3(0(5(1(5(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(4(0(2(3(5(0(1(4(3(1(4(4(4(3(2(5(0(1(3(5(5(3(0(2(3(1(0(2(3(2(1(1(5(2(2(4(5(1(1(4(3(2(4(1(4(5(1(4(3(3(0(3(1(4(4(4(2(4(1(1(3(0(3(4(3(1(1(1(5(3(4(3(0(0(0(5(5(5(1(4(4(3(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(0(4(0(1(0(4(4(4(2(1(3(5(2(5(0(1(5(4(0(0(0(3(1(0(0(1(1(2(1(5(0(3(4(4(1(2(1(0(0(5(3(0(2(0(2(2(3(3(2(4(4(4(2(4(2(4(3(0(2(1(5(2(5(0(4(2(3(5(0(4(5(4(2(2(5(2(3(1(3(3(3(2(5(2(4(0(4(1(2(3(0(3(5(4(2(2(2(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(2(3(4(4(3(1(0(5(3(2(1(2(0(1(5(1(4(0(5(3(1(4(3(2(4(4(2(0(2(1(3(0(1(5(2(4(5(0(4(3(3(2(1(1(2(3(0(4(3(4(1(5(2(4(1(0(4(4(5(1(0(2(1(5(5(5(3(5(4(2(1(4(2(1(5(0(1(3(3(1(5(5(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(5(2(3(2(5(0(2(2(2(3(0(1(2(1(0(5(1(0(3(3(3(5(0(2(5(0(0(3(1(3(3(4(1(3(0(4(1(1(1(5(5(1(1(2(2(1(2(5(3(2(2(3(2(2(3(4(1(3(2(3(0(5(0(1(0(0(5(1(0(4(0(4(2(2(3(4(1(3(3(0(4(4(4(2(0(2(0(2(4(3(2(2(5(0(3(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(3(5(5(4(2(1(4(5(4(2(1(3(5(0(1(2(3(3(4(3(5(4(5(2(4(2(4(1(3(4(2(1(1(1(2(1(4(4(0(5(3(3(4(1(4(0(5(2(4(2(5(0(5(4(4(3(3(0(0(4(0(3(3(2(1(4(4(1(3(1(3(4(2(0(5(4(3(3(4(1(5(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
1(2(2(3(4(0(3(5(3(3(4(4(1(5(4(5(1(2(0(2(0(0(5(1(0(3(5(4(3(2(5(5(5(1(2(2(5(2(0(5(4(5(3(0(1(1(4(3(4(5(1(3(0(5(1(1(1(2(2(4(0(5(4(3(5(2(3(1(1(0(2(2(1(5(0(0(0(0(1(0(0(4(3(2(0(5(4(0(2(0(3(2(3(4(2(2(3(1(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(1(5(4(4(2(3(0(1(5(5(3(1(0(4(5(0(5(2(2(5(4(1(1(1(1(5(5(2(5(1(2(0(3(0(1(5(3(3(1(0(2(1(2(5(3(4(3(5(0(3(4(4(5(5(4(3(1(1(0(5(0(5(4(4(1(2(1(5(4(2(0(1(3(2(4(2(4(1(5(5(2(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(0(3(2(5(5(0(5(5(0(3(4(3(5(3(3(0(2(3(5(3(4(1(1(3(5(0(4(1(2(1(5(5(0(5(0(0(0(4(3(0(4(3(4(5(2(5(3(0(0(0(0(1(0(0(5(2(5(4(2(5(4(0(0(4(2(2(5(5(3(3(5(2(5(2(2(0(3(2(1(5(0(3(0(3(5(0(4(3(5(5(3(3(3(2(5(4(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(4(3(5(5(4(4(4(3(1(1(1(3(4(0(5(5(1(3(1(5(3(1(5(5(4(3(5(1(5(5(1(4(5(5(4(3(3(1(4(2(4(4(3(0(1(4(4(4(3(0(3(2(1(0(1(1(4(2(3(5(3(2(1(5(4(0(5(3(2(5(2(1(4(5(3(5(3(2(5(2(1(2(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(3(5(3(2(4(5(2(2(0(2(0(2(0(2(5(1(5(2(2(5(0(1(1(1(2(4(3(1(1(4(2(5(5(3(2(3(3(2(3(4(0(1(0(5(1(2(3(0(5(0(1(3(3(5(0(5(0(0(3(3(4(2(4(5(5(0(5(0(5(2(5(1(4(3(1(3(0(2(3(3(1(2(3(1(1(0(0(0(0(4(2(1(5(3(4(0(3(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(2(2(4(4(5(3(4(3(2(4(1(3(4(4(1(1(0(3(4(5(3(0(5(3(1(1(3(1(5(4(4(0(3(5(0(1(3(4(3(1(5(2(0(4(4(0(2(0(3(4(2(2(2(0(3(0(2(5(1(4(5(5(1(4(1(1(5(0(5(3(5(1(0(4(2(2(4(0(1(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(1(4(0(0(4(1(5(0(4(5(4(4(0(5(3(1(2(5(2(3(0(5(5(3(2(0(4(5(5(1(5(5(2(2(3(4(0(5(0(4(0(1(2(2(3(0(3(1(3(0(2(2(1(2(3(4(3(0(1(5(3(2(4(5(0(1(2(3(2(0(5(2(3(0(2(0(3(2(1(5(3(1(0(0(0(3(5(0(1(4(3(3(5(2(5(3(3(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(4(3(3(0(4(1(5(1(1(1(1(2(5(2(0(2(2(1(5(3(0(3(5(1(1(2(5(4(5(0(0(5(2(5(2(1(4(0(2(0(1(3(2(4(4(1(4(5(3(1(4(5(1(4(1(3(5(4(3(4(1(4(3(0(3(3(4(5(1(1(4(5(3(4(5(2(4(1(0(3(3(4(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(1(1(0(5(1(5(4(2(0(2(1(0(0(0(0(3(0(0(1(2(1(3(4(4(0(2(2(0(2(5(4(2(4(2(1(1(4(4(5(2(3(1(2(3(5(1(2(3(4(3(3(0(5(0(5(5(4(2(5(2(3(5(0(4(3(0(4(5(3(5(3(3(0(2(0(2(3(2(4(5(0(5(0(0(4(0(3(0(0(2(5(5(3(3(4(2(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(4(3(1(3(5(0(3(4(0(4(2(4(3(2(0(1(5(5(2(3(3(4(4(5(4(1(3(3(0(4(3(2(5(4(4(5(2(2(0(3(1(5(2(5(4(2(1(4(3(4(1(5(5(0(0(0(2(1(4(4(3(0(2(0(3(2(2(1(2(4(4(0(1(1(0(4(5(3(2(4(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(3(4(4(2(0(3(0(4(2(5(0(5(0(5(0(1(3(4(4(2(3(1(5(0(5(3(4(3(2(3(0(2(2(0(0(5(3(4(1(4(2(3(3(4(4(5(1(3(0(2(4(5(1(0(0(0(3(2(1(1(2(2(4(2(3(4(0(3(0(0(0(1(5(3(5(5(1(5(1(2(5(0(5(3(0(4(4(2(2(5(0(5(0(3(0(3(0(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(4(5(1(4(5(0(2(4(5(5(3(4(1(3(0(1(3(1(4(2(4(4(5(4(0(5(0(2(4(3(1(4(0(4(1(3(3(1(1(4(5(4(4(1(4(1(4(1(3(1(2(2(5(1(4(5(4(2(2(0(5(5(0(0(1(1(5(4(5(5(2(1(1(0(5(1(3(3(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(5(1(0(1(0(0(2(3(0(5(4(2(3(2(0(0(1(3(2(4(1(0(3(4(0(0(2(2(4(5(0(2(1(1(4(2(3(5(3(5(0(4(4(2(1(0(2(2(1(1(3(1(3(1(2(3(2(2(3(5(2(5(3(0(2(4(0(3(4(4(5(2(3(0(0(2(3(5(3(0(1(2(5(0(2(0(3(2(4(1(2(4(4(4(2(3(1(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(1(5(5(2(2(2(5(5(5(0(1(3(4(5(5(2(2(1(3(3(5(1(5(5(0(4(3(0(0(1(3(4(0(1(5(3(4(3(2(2(0(1(4(4(3(5(2(0(2(0(5(2(1(3(2(0(4(1(4(5(2(0(0(0(4(5(1(2(2(3(5(2(1(2(3(0(0(3(5(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(2(5(2(5(0(3(3(3(0(2(5(3(1(2(4(3(2(3(1(4(5(5(0(1(0(0(1(1(0(0(3(4(1(0(2(5(5(0(2(4(0(4(2(2(4(5(5(3(4(1(0(2(2(3(0(1(2(5(1(0(1(3(2(5(0(2(3(0(2(5(2(2(3(4(1(1(4(1(0(3(1(2(0(4(5(3(3(3(0(3(5(0(0(0(4(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(0(1(2(1(1(2(0(1(3(4(2(0(3(0(2(0(4(0(1(3(4(4(0(5(3(2(1(2(5(3(2(0(5(3(1(5(1(1(2(1(1(2(4(2(4(1(5(2(2(4(1(3(5(5(0(0(3(4(2(4(0(5(4(5(4(4(2(1(3(5(4(2(4(0(4(5(2(0(5(1(4(5(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(1(4(0(0(4(4(2(5(4(1(3(3(5(2(3(5(3(3(1(4(3(2(2(2(3(5(0(0(1(1(0(5(0(0(1(0(5(2(1(2(1(5(3(2(1(0(1(0(2(0(0(3(0(3(0(1(3(4(0(2(4(5(1(5(5(2(5(1(3(5(0(2(4(2(1(3(5(2(3(0(0(2(0(3(2(3(0(1(0(0(1(1(2(4(0(2(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool IDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(4(5(2(1(4(0(4(5(5(4(0(5(3(1(3(3(5(0(4(1(2(1(4(3(3(2(5(1(2(0(3(0(2(1(3(4(4(3(1(4(0(3(1(3(1(0(3(1(3(5(4(0(2(0(4(0(3(3(1(3(2(0(5(4(1(0(2(2(4(4(1(2(2(2(1(5(0(2(1(4(1(3(4(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(4(5(0(0(5(2(0(3(1(1(0(2(2(4(5(4(4(1(1(0(0(2(0(5(0(0(0(3(2(0(0(1(4(2(3(5(3(4(5(5(4(0(4(2(2(3(0(3(2(5(1(5(3(2(3(5(4(1(1(1(3(2(0(5(5(4(3(5(4(3(5(3(5(2(3(5(2(4(3(0(4(0(0(5(0(3(2(5(2(0(1(1(5(0(4(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(4(3(4(3(1(3(0(1(2(5(4(4(4(2(0(1(1(5(5(5(0(5(1(0(0(4(4(2(1(1(1(5(4(2(2(2(1(3(3(1(5(4(4(4(1(1(3(2(1(3(2(4(4(3(4(4(0(3(2(4(5(2(2(5(1(2(4(1(3(4(1(2(5(2(1(4(3(3(1(2(1(3(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(4(5(4(1(2(2(2(0(4(2(2(0(5(0(2(5(5(1(0(3(2(3(0(4(2(0(2(5(3(4(0(2(0(1(3(1(2(3(0(1(3(4(3(5(0(2(1(4(2(2(5(1(1(2(2(0(5(4(0(2(2(4(0(2(0(4(3(5(3(1(4(3(0(1(1(3(2(2(2(4(3(2(1(3(0(2(3(0(2(1(3(0(1(1(0(5(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(1(2(3(0(3(1(2(5(3(2(2(3(4(1(3(1(1(5(0(2(5(2(4(1(2(1(1(5(2(1(0(4(4(4(5(5(1(1(2(4(5(5(3(5(1(2(4(4(5(0(1(0(5(5(3(3(5(2(4(4(4(2(1(0(0(4(3(1(4(5(1(1(5(1(4(4(3(4(4(4(2(0(1(3(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(3(3(0(5(0(5(1(2(3(5(0(2(5(5(0(0(0(5(5(2(0(5(5(4(5(2(0(5(5(0(0(5(1(2(5(1(1(1(0(3(3(5(5(2(5(1(0(0(1(2(5(0(1(2(2(0(0(4(5(2(1(2(1(5(0(0(5(3(2(0(0(0(1(1(2(3(0(4(0(4(2(3(3(0(0(1(0(5(4(1(3(2(5(0(1(4(0(3(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(0(5(1(1(3(4(1(2(4(3(2(1(1(2(4(1(2(4(4(5(1(0(3(1(0(4(5(5(3(5(2(1(4(5(4(2(2(4(2(2(0(0(3(1(1(0(1(3(3(4(1(4(3(0(4(3(4(2(1(3(1(4(3(4(2(5(5(4(0(0(5(3(4(5(1(2(5(3(3(4(3(0(5(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(0(2(3(4(0(3(4(4(5(1(5(2(4(4(0(0(5(0(3(5(4(2(0(5(1(2(3(3(4(3(1(3(2(5(2(2(1(0(2(0(0(4(3(1(1(2(0(1(2(5(4(1(0(5(1(0(0(0(2(0(3(2(5(4(2(3(4(3(0(5(0(5(5(3(0(1(5(1(0(5(3(0(0(2(3(0(0(1(3(0(0(3(0(0(5(3(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(4(3(2(2(3(4(4(5(3(4(1(1(0(2(3(1(5(2(1(3(5(3(1(1(1(4(4(5(2(4(1(1(5(0(1(3(1(3(3(1(3(2(3(4(5(1(1(5(5(5(1(1(3(3(1(5(1(3(4(4(0(0(2(1(2(3(2(5(3(1(1(2(5(1(2(0(0(3(4(3(3(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(1(2(3(0(1(2(1(0(5(2(2(5(3(4(1(3(3(5(0(3(2(0(1(3(0(0(0(5(2(3(4(2(2(5(5(0(4(0(0(2(5(1(2(5(1(2(4(4(3(5(0(0(0(0(2(0(3(0(0(1(4(5(3(2(0(4(2(4(5(4(2(4(5(0(2(4(0(5(0(1(3(0(0(2(4(2(3(0(1(2(5(4(5(4(2(0(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(3(5(5(1(4(0(3(5(1(3(0(4(1(5(1(4(3(3(2(2(4(5(5(1(5(4(4(0(2(4(4(1(1(2(3(2(2(2(1(2(0(2(4(5(3(1(5(3(4(4(0(2(1(4(1(2(3(3(4(3(1(5(3(4(1(4(0(4(5(2(4(1(5(1(1(0(4(2(1(4(3(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(2(3(5(0(0(0(4(4(4(3(0(5(2(2(3(4(3(1(4(5(0(2(4(1(0(3(5(0(5(2(4(2(4(2(0(2(3(2(1(1(3(0(4(4(1(3(2(4(1(0(2(2(4(1(0(2(3(5(4(3(2(3(0(4(3(0(0(4(4(5(0(4(4(0(1(4(4(4(3(0(0(2(2(2(5(5(0(5(1(3(3(0(0(3(2(4(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(2(1(2(3(2(5(3(3(4(0(2(0(3(3(2(0(3(4(3(3(2(1(4(0(2(4(0(5(1(5(5(5(4(1(4(5(0(4(1(3(1(1(0(3(3(5(5(3(4(3(2(4(1(0(3(2(1(3(1(0(5(2(5(3(4(4(2(4(1(4(5(0(0(0(1(1(3(4(1(2(1(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(2(5(2(3(5(3(1(0(4(1(1(0(1(3(3(0(0(0(1(4(2(1(3(0(0(0(3(4(5(4(1(2(5(0(0(4(0(0(5(5(5(0(1(3(0(0(5(3(5(1(2(1(2(1(2(4(2(2(1(0(1(3(3(0(0(4(3(2(2(3(0(2(0(3(5(0(1(5(2(5(5(1(4(1(0(2(3(4(3(3(2(4(5(5(0(2(5(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(2(3(2(2(1(1(2(4(4(3(2(1(0(2(5(4(2(2(1(3(3(2(5(5(5(4(2(1(2(0(5(5(1(4(3(0(3(2(1(2(1(5(5(3(5(0(0(1(3(3(4(4(0(3(0(2(2(1(3(2(2(1(5(1(1(2(0(5(2(0(4(2(1(2(4(1(5(3(2(4(4(0(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(4(5(2(2(3(5(2(4(5(2(4(4(5(4(5(1(0(3(0(4(4(1(1(1(0(0(5(0(2(2(3(0(0(5(1(3(3(3(1(4(0(4(2(5(3(3(2(3(1(1(0(1(0(0(3(4(5(5(4(4(5(4(0(5(2(3(0(5(2(5(5(3(5(4(4(5(1(2(3(4(0(1(1(0(0(3(2(4(4(2(0(5(4(0(4(1(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(1(4(1(3(0(4(3(0(4(3(0(1(1(0(0(0(4(5(3(2(4(1(4(2(0(1(4(4(5(5(3(1(0(3(4(3(2(5(1(5(1(4(2(1(4(1(5(2(0(5(3(1(2(0(1(5(4(3(4(3(3(3(5(4(1(1(3(5(5(2(2(1(1(1(3(2(4(1(3(3(5(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(3(4(3(2(3(2(0(4(2(3(5(0(2(5(0(0(4(1(1(2(4(4(0(0(1(4(0(1(2(2(4(2(2(4(3(0(0(2(3(3(4(3(5(3(0(2(1(2(0(5(1(5(2(0(2(1(3(1(4(1(2(5(2(2(4(5(0(4(3(2(4(2(5(3(4(1(2(1(1(1(0(4(2(5(2(5(2(3(2(1(1(2(3(0(5(1(5(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(4(0(2(3(5(0(1(4(3(1(4(4(4(3(2(5(0(1(3(5(5(3(0(2(3(1(0(2(3(2(1(1(5(2(2(4(5(1(1(4(3(2(4(1(4(5(1(4(3(3(0(3(1(4(4(4(2(4(1(1(3(0(3(4(3(1(1(1(5(3(4(3(0(0(0(5(5(5(1(4(4(3(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(0(4(0(1(0(4(4(4(2(1(3(5(2(5(0(1(5(4(0(0(0(3(1(0(0(1(1(2(1(5(0(3(4(4(1(2(1(0(0(5(3(0(2(0(2(2(3(3(2(4(4(4(2(4(2(4(3(0(2(1(5(2(5(0(4(2(3(5(0(4(5(4(2(2(5(2(3(1(3(3(3(2(5(2(4(0(4(1(2(3(0(3(5(4(2(2(2(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(2(3(4(4(3(1(0(5(3(2(1(2(0(1(5(1(4(0(5(3(1(4(3(2(4(4(2(0(2(1(3(0(1(5(2(4(5(0(4(3(3(2(1(1(2(3(0(4(3(4(1(5(2(4(1(0(4(4(5(1(0(2(1(5(5(5(3(5(4(2(1(4(2(1(5(0(1(3(3(1(5(5(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(5(2(3(2(5(0(2(2(2(3(0(1(2(1(0(5(1(0(3(3(3(5(0(2(5(0(0(3(1(3(3(4(1(3(0(4(1(1(1(5(5(1(1(2(2(1(2(5(3(2(2(3(2(2(3(4(1(3(2(3(0(5(0(1(0(0(5(1(0(4(0(4(2(2(3(4(1(3(3(0(4(4(4(2(0(2(0(2(4(3(2(2(5(0(3(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(3(5(5(4(2(1(4(5(4(2(1(3(5(0(1(2(3(3(4(3(5(4(5(2(4(2(4(1(3(4(2(1(1(1(2(1(4(4(0(5(3(3(4(1(4(0(5(2(4(2(5(0(5(4(4(3(3(0(0(4(0(3(3(2(1(4(4(1(3(1(3(4(2(0(5(4(3(3(4(1(5(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
1(2(2(3(4(0(3(5(3(3(4(4(1(5(4(5(1(2(0(2(0(0(5(1(0(3(5(4(3(2(5(5(5(1(2(2(5(2(0(5(4(5(3(0(1(1(4(3(4(5(1(3(0(5(1(1(1(2(2(4(0(5(4(3(5(2(3(1(1(0(2(2(1(5(0(0(0(0(1(0(0(4(3(2(0(5(4(0(2(0(3(2(3(4(2(2(3(1(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(1(5(4(4(2(3(0(1(5(5(3(1(0(4(5(0(5(2(2(5(4(1(1(1(1(5(5(2(5(1(2(0(3(0(1(5(3(3(1(0(2(1(2(5(3(4(3(5(0(3(4(4(5(5(4(3(1(1(0(5(0(5(4(4(1(2(1(5(4(2(0(1(3(2(4(2(4(1(5(5(2(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(0(3(2(5(5(0(5(5(0(3(4(3(5(3(3(0(2(3(5(3(4(1(1(3(5(0(4(1(2(1(5(5(0(5(0(0(0(4(3(0(4(3(4(5(2(5(3(0(0(0(0(1(0(0(5(2(5(4(2(5(4(0(0(4(2(2(5(5(3(3(5(2(5(2(2(0(3(2(1(5(0(3(0(3(5(0(4(3(5(5(3(3(3(2(5(4(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(4(3(5(5(4(4(4(3(1(1(1(3(4(0(5(5(1(3(1(5(3(1(5(5(4(3(5(1(5(5(1(4(5(5(4(3(3(1(4(2(4(4(3(0(1(4(4(4(3(0(3(2(1(0(1(1(4(2(3(5(3(2(1(5(4(0(5(3(2(5(2(1(4(5(3(5(3(2(5(2(1(2(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(3(5(3(2(4(5(2(2(0(2(0(2(0(2(5(1(5(2(2(5(0(1(1(1(2(4(3(1(1(4(2(5(5(3(2(3(3(2(3(4(0(1(0(5(1(2(3(0(5(0(1(3(3(5(0(5(0(0(3(3(4(2(4(5(5(0(5(0(5(2(5(1(4(3(1(3(0(2(3(3(1(2(3(1(1(0(0(0(0(4(2(1(5(3(4(0(3(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(2(2(4(4(5(3(4(3(2(4(1(3(4(4(1(1(0(3(4(5(3(0(5(3(1(1(3(1(5(4(4(0(3(5(0(1(3(4(3(1(5(2(0(4(4(0(2(0(3(4(2(2(2(0(3(0(2(5(1(4(5(5(1(4(1(1(5(0(5(3(5(1(0(4(2(2(4(0(1(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(1(4(0(0(4(1(5(0(4(5(4(4(0(5(3(1(2(5(2(3(0(5(5(3(2(0(4(5(5(1(5(5(2(2(3(4(0(5(0(4(0(1(2(2(3(0(3(1(3(0(2(2(1(2(3(4(3(0(1(5(3(2(4(5(0(1(2(3(2(0(5(2(3(0(2(0(3(2(1(5(3(1(0(0(0(3(5(0(1(4(3(3(5(2(5(3(3(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(4(3(3(0(4(1(5(1(1(1(1(2(5(2(0(2(2(1(5(3(0(3(5(1(1(2(5(4(5(0(0(5(2(5(2(1(4(0(2(0(1(3(2(4(4(1(4(5(3(1(4(5(1(4(1(3(5(4(3(4(1(4(3(0(3(3(4(5(1(1(4(5(3(4(5(2(4(1(0(3(3(4(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(1(1(0(5(1(5(4(2(0(2(1(0(0(0(0(3(0(0(1(2(1(3(4(4(0(2(2(0(2(5(4(2(4(2(1(1(4(4(5(2(3(1(2(3(5(1(2(3(4(3(3(0(5(0(5(5(4(2(5(2(3(5(0(4(3(0(4(5(3(5(3(3(0(2(0(2(3(2(4(5(0(5(0(0(4(0(3(0(0(2(5(5(3(3(4(2(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(4(3(1(3(5(0(3(4(0(4(2(4(3(2(0(1(5(5(2(3(3(4(4(5(4(1(3(3(0(4(3(2(5(4(4(5(2(2(0(3(1(5(2(5(4(2(1(4(3(4(1(5(5(0(0(0(2(1(4(4(3(0(2(0(3(2(2(1(2(4(4(0(1(1(0(4(5(3(2(4(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(3(4(4(2(0(3(0(4(2(5(0(5(0(5(0(1(3(4(4(2(3(1(5(0(5(3(4(3(2(3(0(2(2(0(0(5(3(4(1(4(2(3(3(4(4(5(1(3(0(2(4(5(1(0(0(0(3(2(1(1(2(2(4(2(3(4(0(3(0(0(0(1(5(3(5(5(1(5(1(2(5(0(5(3(0(4(4(2(2(5(0(5(0(3(0(3(0(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(4(5(1(4(5(0(2(4(5(5(3(4(1(3(0(1(3(1(4(2(4(4(5(4(0(5(0(2(4(3(1(4(0(4(1(3(3(1(1(4(5(4(4(1(4(1(4(1(3(1(2(2(5(1(4(5(4(2(2(0(5(5(0(0(1(1(5(4(5(5(2(1(1(0(5(1(3(3(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(5(1(0(1(0(0(2(3(0(5(4(2(3(2(0(0(1(3(2(4(1(0(3(4(0(0(2(2(4(5(0(2(1(1(4(2(3(5(3(5(0(4(4(2(1(0(2(2(1(1(3(1(3(1(2(3(2(2(3(5(2(5(3(0(2(4(0(3(4(4(5(2(3(0(0(2(3(5(3(0(1(2(5(0(2(0(3(2(4(1(2(4(4(4(2(3(1(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(1(5(5(2(2(2(5(5(5(0(1(3(4(5(5(2(2(1(3(3(5(1(5(5(0(4(3(0(0(1(3(4(0(1(5(3(4(3(2(2(0(1(4(4(3(5(2(0(2(0(5(2(1(3(2(0(4(1(4(5(2(0(0(0(4(5(1(2(2(3(5(2(1(2(3(0(0(3(5(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(2(5(2(5(0(3(3(3(0(2(5(3(1(2(4(3(2(3(1(4(5(5(0(1(0(0(1(1(0(0(3(4(1(0(2(5(5(0(2(4(0(4(2(2(4(5(5(3(4(1(0(2(2(3(0(1(2(5(1(0(1(3(2(5(0(2(3(0(2(5(2(2(3(4(1(1(4(1(0(3(1(2(0(4(5(3(3(3(0(3(5(0(0(0(4(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(0(1(2(1(1(2(0(1(3(4(2(0(3(0(2(0(4(0(1(3(4(4(0(5(3(2(1(2(5(3(2(0(5(3(1(5(1(1(2(1(1(2(4(2(4(1(5(2(2(4(1(3(5(5(0(0(3(4(2(4(0(5(4(5(4(4(2(1(3(5(4(2(4(0(4(5(2(0(5(1(4(5(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(1(4(0(0(4(4(2(5(4(1(3(3(5(2(3(5(3(3(1(4(3(2(2(2(3(5(0(0(1(1(0(5(0(0(1(0(5(2(1(2(1(5(3(2(1(0(1(0(2(0(0(3(0(3(0(1(3(4(0(2(4(5(1(5(5(2(5(1(3(5(0(2(4(2(1(3(5(2(3(0(0(2(0(3(2(3(0(1(0(0(1(1(2(4(0(2(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(4(5(2(1(4(0(4(5(5(4(0(5(3(1(3(3(5(0(4(1(2(1(4(3(3(2(5(1(2(0(3(0(2(1(3(4(4(3(1(4(0(3(1(3(1(0(3(1(3(5(4(0(2(0(4(0(3(3(1(3(2(0(5(4(1(0(2(2(4(4(1(2(2(2(1(5(0(2(1(4(1(3(4(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(4(5(0(0(5(2(0(3(1(1(0(2(2(4(5(4(4(1(1(0(0(2(0(5(0(0(0(3(2(0(0(1(4(2(3(5(3(4(5(5(4(0(4(2(2(3(0(3(2(5(1(5(3(2(3(5(4(1(1(1(3(2(0(5(5(4(3(5(4(3(5(3(5(2(3(5(2(4(3(0(4(0(0(5(0(3(2(5(2(0(1(1(5(0(4(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(4(3(4(3(1(3(0(1(2(5(4(4(4(2(0(1(1(5(5(5(0(5(1(0(0(4(4(2(1(1(1(5(4(2(2(2(1(3(3(1(5(4(4(4(1(1(3(2(1(3(2(4(4(3(4(4(0(3(2(4(5(2(2(5(1(2(4(1(3(4(1(2(5(2(1(4(3(3(1(2(1(3(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(4(5(4(1(2(2(2(0(4(2(2(0(5(0(2(5(5(1(0(3(2(3(0(4(2(0(2(5(3(4(0(2(0(1(3(1(2(3(0(1(3(4(3(5(0(2(1(4(2(2(5(1(1(2(2(0(5(4(0(2(2(4(0(2(0(4(3(5(3(1(4(3(0(1(1(3(2(2(2(4(3(2(1(3(0(2(3(0(2(1(3(0(1(1(0(5(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(1(2(3(0(3(1(2(5(3(2(2(3(4(1(3(1(1(5(0(2(5(2(4(1(2(1(1(5(2(1(0(4(4(4(5(5(1(1(2(4(5(5(3(5(1(2(4(4(5(0(1(0(5(5(3(3(5(2(4(4(4(2(1(0(0(4(3(1(4(5(1(1(5(1(4(4(3(4(4(4(2(0(1(3(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(3(3(0(5(0(5(1(2(3(5(0(2(5(5(0(0(0(5(5(2(0(5(5(4(5(2(0(5(5(0(0(5(1(2(5(1(1(1(0(3(3(5(5(2(5(1(0(0(1(2(5(0(1(2(2(0(0(4(5(2(1(2(1(5(0(0(5(3(2(0(0(0(1(1(2(3(0(4(0(4(2(3(3(0(0(1(0(5(4(1(3(2(5(0(1(4(0(3(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(0(5(1(1(3(4(1(2(4(3(2(1(1(2(4(1(2(4(4(5(1(0(3(1(0(4(5(5(3(5(2(1(4(5(4(2(2(4(2(2(0(0(3(1(1(0(1(3(3(4(1(4(3(0(4(3(4(2(1(3(1(4(3(4(2(5(5(4(0(0(5(3(4(5(1(2(5(3(3(4(3(0(5(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(0(2(3(4(0(3(4(4(5(1(5(2(4(4(0(0(5(0(3(5(4(2(0(5(1(2(3(3(4(3(1(3(2(5(2(2(1(0(2(0(0(4(3(1(1(2(0(1(2(5(4(1(0(5(1(0(0(0(2(0(3(2(5(4(2(3(4(3(0(5(0(5(5(3(0(1(5(1(0(5(3(0(0(2(3(0(0(1(3(0(0(3(0(0(5(3(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(4(3(2(2(3(4(4(5(3(4(1(1(0(2(3(1(5(2(1(3(5(3(1(1(1(4(4(5(2(4(1(1(5(0(1(3(1(3(3(1(3(2(3(4(5(1(1(5(5(5(1(1(3(3(1(5(1(3(4(4(0(0(2(1(2(3(2(5(3(1(1(2(5(1(2(0(0(3(4(3(3(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(1(2(3(0(1(2(1(0(5(2(2(5(3(4(1(3(3(5(0(3(2(0(1(3(0(0(0(5(2(3(4(2(2(5(5(0(4(0(0(2(5(1(2(5(1(2(4(4(3(5(0(0(0(0(2(0(3(0(0(1(4(5(3(2(0(4(2(4(5(4(2(4(5(0(2(4(0(5(0(1(3(0(0(2(4(2(3(0(1(2(5(4(5(4(2(0(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(3(5(5(1(4(0(3(5(1(3(0(4(1(5(1(4(3(3(2(2(4(5(5(1(5(4(4(0(2(4(4(1(1(2(3(2(2(2(1(2(0(2(4(5(3(1(5(3(4(4(0(2(1(4(1(2(3(3(4(3(1(5(3(4(1(4(0(4(5(2(4(1(5(1(1(0(4(2(1(4(3(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(2(3(5(0(0(0(4(4(4(3(0(5(2(2(3(4(3(1(4(5(0(2(4(1(0(3(5(0(5(2(4(2(4(2(0(2(3(2(1(1(3(0(4(4(1(3(2(4(1(0(2(2(4(1(0(2(3(5(4(3(2(3(0(4(3(0(0(4(4(5(0(4(4(0(1(4(4(4(3(0(0(2(2(2(5(5(0(5(1(3(3(0(0(3(2(4(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(2(1(2(3(2(5(3(3(4(0(2(0(3(3(2(0(3(4(3(3(2(1(4(0(2(4(0(5(1(5(5(5(4(1(4(5(0(4(1(3(1(1(0(3(3(5(5(3(4(3(2(4(1(0(3(2(1(3(1(0(5(2(5(3(4(4(2(4(1(4(5(0(0(0(1(1(3(4(1(2(1(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(2(5(2(3(5(3(1(0(4(1(1(0(1(3(3(0(0(0(1(4(2(1(3(0(0(0(3(4(5(4(1(2(5(0(0(4(0(0(5(5(5(0(1(3(0(0(5(3(5(1(2(1(2(1(2(4(2(2(1(0(1(3(3(0(0(4(3(2(2(3(0(2(0(3(5(0(1(5(2(5(5(1(4(1(0(2(3(4(3(3(2(4(5(5(0(2(5(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(2(3(2(2(1(1(2(4(4(3(2(1(0(2(5(4(2(2(1(3(3(2(5(5(5(4(2(1(2(0(5(5(1(4(3(0(3(2(1(2(1(5(5(3(5(0(0(1(3(3(4(4(0(3(0(2(2(1(3(2(2(1(5(1(1(2(0(5(2(0(4(2(1(2(4(1(5(3(2(4(4(0(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(4(5(2(2(3(5(2(4(5(2(4(4(5(4(5(1(0(3(0(4(4(1(1(1(0(0(5(0(2(2(3(0(0(5(1(3(3(3(1(4(0(4(2(5(3(3(2(3(1(1(0(1(0(0(3(4(5(5(4(4(5(4(0(5(2(3(0(5(2(5(5(3(5(4(4(5(1(2(3(4(0(1(1(0(0(3(2(4(4(2(0(5(4(0(4(1(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(1(4(1(3(0(4(3(0(4(3(0(1(1(0(0(0(4(5(3(2(4(1(4(2(0(1(4(4(5(5(3(1(0(3(4(3(2(5(1(5(1(4(2(1(4(1(5(2(0(5(3(1(2(0(1(5(4(3(4(3(3(3(5(4(1(1(3(5(5(2(2(1(1(1(3(2(4(1(3(3(5(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(3(4(3(2(3(2(0(4(2(3(5(0(2(5(0(0(4(1(1(2(4(4(0(0(1(4(0(1(2(2(4(2(2(4(3(0(0(2(3(3(4(3(5(3(0(2(1(2(0(5(1(5(2(0(2(1(3(1(4(1(2(5(2(2(4(5(0(4(3(2(4(2(5(3(4(1(2(1(1(1(0(4(2(5(2(5(2(3(2(1(1(2(3(0(5(1(5(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(4(0(2(3(5(0(1(4(3(1(4(4(4(3(2(5(0(1(3(5(5(3(0(2(3(1(0(2(3(2(1(1(5(2(2(4(5(1(1(4(3(2(4(1(4(5(1(4(3(3(0(3(1(4(4(4(2(4(1(1(3(0(3(4(3(1(1(1(5(3(4(3(0(0(0(5(5(5(1(4(4(3(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(0(4(0(1(0(4(4(4(2(1(3(5(2(5(0(1(5(4(0(0(0(3(1(0(0(1(1(2(1(5(0(3(4(4(1(2(1(0(0(5(3(0(2(0(2(2(3(3(2(4(4(4(2(4(2(4(3(0(2(1(5(2(5(0(4(2(3(5(0(4(5(4(2(2(5(2(3(1(3(3(3(2(5(2(4(0(4(1(2(3(0(3(5(4(2(2(2(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(2(3(4(4(3(1(0(5(3(2(1(2(0(1(5(1(4(0(5(3(1(4(3(2(4(4(2(0(2(1(3(0(1(5(2(4(5(0(4(3(3(2(1(1(2(3(0(4(3(4(1(5(2(4(1(0(4(4(5(1(0(2(1(5(5(5(3(5(4(2(1(4(2(1(5(0(1(3(3(1(5(5(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(5(2(3(2(5(0(2(2(2(3(0(1(2(1(0(5(1(0(3(3(3(5(0(2(5(0(0(3(1(3(3(4(1(3(0(4(1(1(1(5(5(1(1(2(2(1(2(5(3(2(2(3(2(2(3(4(1(3(2(3(0(5(0(1(0(0(5(1(0(4(0(4(2(2(3(4(1(3(3(0(4(4(4(2(0(2(0(2(4(3(2(2(5(0(3(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(3(5(5(4(2(1(4(5(4(2(1(3(5(0(1(2(3(3(4(3(5(4(5(2(4(2(4(1(3(4(2(1(1(1(2(1(4(4(0(5(3(3(4(1(4(0(5(2(4(2(5(0(5(4(4(3(3(0(0(4(0(3(3(2(1(4(4(1(3(1(3(4(2(0(5(4(3(3(4(1(5(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
1(2(2(3(4(0(3(5(3(3(4(4(1(5(4(5(1(2(0(2(0(0(5(1(0(3(5(4(3(2(5(5(5(1(2(2(5(2(0(5(4(5(3(0(1(1(4(3(4(5(1(3(0(5(1(1(1(2(2(4(0(5(4(3(5(2(3(1(1(0(2(2(1(5(0(0(0(0(1(0(0(4(3(2(0(5(4(0(2(0(3(2(3(4(2(2(3(1(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(1(5(4(4(2(3(0(1(5(5(3(1(0(4(5(0(5(2(2(5(4(1(1(1(1(5(5(2(5(1(2(0(3(0(1(5(3(3(1(0(2(1(2(5(3(4(3(5(0(3(4(4(5(5(4(3(1(1(0(5(0(5(4(4(1(2(1(5(4(2(0(1(3(2(4(2(4(1(5(5(2(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(0(3(2(5(5(0(5(5(0(3(4(3(5(3(3(0(2(3(5(3(4(1(1(3(5(0(4(1(2(1(5(5(0(5(0(0(0(4(3(0(4(3(4(5(2(5(3(0(0(0(0(1(0(0(5(2(5(4(2(5(4(0(0(4(2(2(5(5(3(3(5(2(5(2(2(0(3(2(1(5(0(3(0(3(5(0(4(3(5(5(3(3(3(2(5(4(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(4(3(5(5(4(4(4(3(1(1(1(3(4(0(5(5(1(3(1(5(3(1(5(5(4(3(5(1(5(5(1(4(5(5(4(3(3(1(4(2(4(4(3(0(1(4(4(4(3(0(3(2(1(0(1(1(4(2(3(5(3(2(1(5(4(0(5(3(2(5(2(1(4(5(3(5(3(2(5(2(1(2(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(3(5(3(2(4(5(2(2(0(2(0(2(0(2(5(1(5(2(2(5(0(1(1(1(2(4(3(1(1(4(2(5(5(3(2(3(3(2(3(4(0(1(0(5(1(2(3(0(5(0(1(3(3(5(0(5(0(0(3(3(4(2(4(5(5(0(5(0(5(2(5(1(4(3(1(3(0(2(3(3(1(2(3(1(1(0(0(0(0(4(2(1(5(3(4(0(3(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(2(2(4(4(5(3(4(3(2(4(1(3(4(4(1(1(0(3(4(5(3(0(5(3(1(1(3(1(5(4(4(0(3(5(0(1(3(4(3(1(5(2(0(4(4(0(2(0(3(4(2(2(2(0(3(0(2(5(1(4(5(5(1(4(1(1(5(0(5(3(5(1(0(4(2(2(4(0(1(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(1(4(0(0(4(1(5(0(4(5(4(4(0(5(3(1(2(5(2(3(0(5(5(3(2(0(4(5(5(1(5(5(2(2(3(4(0(5(0(4(0(1(2(2(3(0(3(1(3(0(2(2(1(2(3(4(3(0(1(5(3(2(4(5(0(1(2(3(2(0(5(2(3(0(2(0(3(2(1(5(3(1(0(0(0(3(5(0(1(4(3(3(5(2(5(3(3(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(4(3(3(0(4(1(5(1(1(1(1(2(5(2(0(2(2(1(5(3(0(3(5(1(1(2(5(4(5(0(0(5(2(5(2(1(4(0(2(0(1(3(2(4(4(1(4(5(3(1(4(5(1(4(1(3(5(4(3(4(1(4(3(0(3(3(4(5(1(1(4(5(3(4(5(2(4(1(0(3(3(4(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(1(1(0(5(1(5(4(2(0(2(1(0(0(0(0(3(0(0(1(2(1(3(4(4(0(2(2(0(2(5(4(2(4(2(1(1(4(4(5(2(3(1(2(3(5(1(2(3(4(3(3(0(5(0(5(5(4(2(5(2(3(5(0(4(3(0(4(5(3(5(3(3(0(2(0(2(3(2(4(5(0(5(0(0(4(0(3(0(0(2(5(5(3(3(4(2(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(4(3(1(3(5(0(3(4(0(4(2(4(3(2(0(1(5(5(2(3(3(4(4(5(4(1(3(3(0(4(3(2(5(4(4(5(2(2(0(3(1(5(2(5(4(2(1(4(3(4(1(5(5(0(0(0(2(1(4(4(3(0(2(0(3(2(2(1(2(4(4(0(1(1(0(4(5(3(2(4(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(3(4(4(2(0(3(0(4(2(5(0(5(0(5(0(1(3(4(4(2(3(1(5(0(5(3(4(3(2(3(0(2(2(0(0(5(3(4(1(4(2(3(3(4(4(5(1(3(0(2(4(5(1(0(0(0(3(2(1(1(2(2(4(2(3(4(0(3(0(0(0(1(5(3(5(5(1(5(1(2(5(0(5(3(0(4(4(2(2(5(0(5(0(3(0(3(0(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(4(5(1(4(5(0(2(4(5(5(3(4(1(3(0(1(3(1(4(2(4(4(5(4(0(5(0(2(4(3(1(4(0(4(1(3(3(1(1(4(5(4(4(1(4(1(4(1(3(1(2(2(5(1(4(5(4(2(2(0(5(5(0(0(1(1(5(4(5(5(2(1(1(0(5(1(3(3(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(5(1(0(1(0(0(2(3(0(5(4(2(3(2(0(0(1(3(2(4(1(0(3(4(0(0(2(2(4(5(0(2(1(1(4(2(3(5(3(5(0(4(4(2(1(0(2(2(1(1(3(1(3(1(2(3(2(2(3(5(2(5(3(0(2(4(0(3(4(4(5(2(3(0(0(2(3(5(3(0(1(2(5(0(2(0(3(2(4(1(2(4(4(4(2(3(1(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(1(5(5(2(2(2(5(5(5(0(1(3(4(5(5(2(2(1(3(3(5(1(5(5(0(4(3(0(0(1(3(4(0(1(5(3(4(3(2(2(0(1(4(4(3(5(2(0(2(0(5(2(1(3(2(0(4(1(4(5(2(0(0(0(4(5(1(2(2(3(5(2(1(2(3(0(0(3(5(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(2(5(2(5(0(3(3(3(0(2(5(3(1(2(4(3(2(3(1(4(5(5(0(1(0(0(1(1(0(0(3(4(1(0(2(5(5(0(2(4(0(4(2(2(4(5(5(3(4(1(0(2(2(3(0(1(2(5(1(0(1(3(2(5(0(2(3(0(2(5(2(2(3(4(1(1(4(1(0(3(1(2(0(4(5(3(3(3(0(3(5(0(0(0(4(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(0(1(2(1(1(2(0(1(3(4(2(0(3(0(2(0(4(0(1(3(4(4(0(5(3(2(1(2(5(3(2(0(5(3(1(5(1(1(2(1(1(2(4(2(4(1(5(2(2(4(1(3(5(5(0(0(3(4(2(4(0(5(4(5(4(4(2(1(3(5(4(2(4(0(4(5(2(0(5(1(4(5(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(1(4(0(0(4(4(2(5(4(1(3(3(5(2(3(5(3(3(1(4(3(2(2(2(3(5(0(0(1(1(0(5(0(0(1(0(5(2(1(2(1(5(3(2(1(0(1(0(2(0(0(3(0(3(0(1(3(4(0(2(4(5(1(5(5(2(5(1(3(5(0(2(4(2(1(3(5(2(3(0(0(2(0(3(2(3(0(1(0(0(1(1(2(4(0(2(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI2
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(4(5(2(1(4(0(4(5(5(4(0(5(3(1(3(3(5(0(4(1(2(1(4(3(3(2(5(1(2(0(3(0(2(1(3(4(4(3(1(4(0(3(1(3(1(0(3(1(3(5(4(0(2(0(4(0(3(3(1(3(2(0(5(4(1(0(2(2(4(4(1(2(2(2(1(5(0(2(1(4(1(3(4(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(4(5(0(0(5(2(0(3(1(1(0(2(2(4(5(4(4(1(1(0(0(2(0(5(0(0(0(3(2(0(0(1(4(2(3(5(3(4(5(5(4(0(4(2(2(3(0(3(2(5(1(5(3(2(3(5(4(1(1(1(3(2(0(5(5(4(3(5(4(3(5(3(5(2(3(5(2(4(3(0(4(0(0(5(0(3(2(5(2(0(1(1(5(0(4(4(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(4(3(4(3(1(3(0(1(2(5(4(4(4(2(0(1(1(5(5(5(0(5(1(0(0(4(4(2(1(1(1(5(4(2(2(2(1(3(3(1(5(4(4(4(1(1(3(2(1(3(2(4(4(3(4(4(0(3(2(4(5(2(2(5(1(2(4(1(3(4(1(2(5(2(1(4(3(3(1(2(1(3(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(4(5(4(1(2(2(2(0(4(2(2(0(5(0(2(5(5(1(0(3(2(3(0(4(2(0(2(5(3(4(0(2(0(1(3(1(2(3(0(1(3(4(3(5(0(2(1(4(2(2(5(1(1(2(2(0(5(4(0(2(2(4(0(2(0(4(3(5(3(1(4(3(0(1(1(3(2(2(2(4(3(2(1(3(0(2(3(0(2(1(3(0(1(1(0(5(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(1(2(3(0(3(1(2(5(3(2(2(3(4(1(3(1(1(5(0(2(5(2(4(1(2(1(1(5(2(1(0(4(4(4(5(5(1(1(2(4(5(5(3(5(1(2(4(4(5(0(1(0(5(5(3(3(5(2(4(4(4(2(1(0(0(4(3(1(4(5(1(1(5(1(4(4(3(4(4(4(2(0(1(3(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(3(3(0(5(0(5(1(2(3(5(0(2(5(5(0(0(0(5(5(2(0(5(5(4(5(2(0(5(5(0(0(5(1(2(5(1(1(1(0(3(3(5(5(2(5(1(0(0(1(2(5(0(1(2(2(0(0(4(5(2(1(2(1(5(0(0(5(3(2(0(0(0(1(1(2(3(0(4(0(4(2(3(3(0(0(1(0(5(4(1(3(2(5(0(1(4(0(3(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 5(0(5(1(1(3(4(1(2(4(3(2(1(1(2(4(1(2(4(4(5(1(0(3(1(0(4(5(5(3(5(2(1(4(5(4(2(2(4(2(2(0(0(3(1(1(0(1(3(3(4(1(4(3(0(4(3(4(2(1(3(1(4(3(4(2(5(5(4(0(0(5(3(4(5(1(2(5(3(3(4(3(0(5(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(0(2(3(4(0(3(4(4(5(1(5(2(4(4(0(0(5(0(3(5(4(2(0(5(1(2(3(3(4(3(1(3(2(5(2(2(1(0(2(0(0(4(3(1(1(2(0(1(2(5(4(1(0(5(1(0(0(0(2(0(3(2(5(4(2(3(4(3(0(5(0(5(5(3(0(1(5(1(0(5(3(0(0(2(3(0(0(1(3(0(0(3(0(0(5(3(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(4(3(2(2(3(4(4(5(3(4(1(1(0(2(3(1(5(2(1(3(5(3(1(1(1(4(4(5(2(4(1(1(5(0(1(3(1(3(3(1(3(2(3(4(5(1(1(5(5(5(1(1(3(3(1(5(1(3(4(4(0(0(2(1(2(3(2(5(3(1(1(2(5(1(2(0(0(3(4(3(3(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(1(2(3(0(1(2(1(0(5(2(2(5(3(4(1(3(3(5(0(3(2(0(1(3(0(0(0(5(2(3(4(2(2(5(5(0(4(0(0(2(5(1(2(5(1(2(4(4(3(5(0(0(0(0(2(0(3(0(0(1(4(5(3(2(0(4(2(4(5(4(2(4(5(0(2(4(0(5(0(1(3(0(0(2(4(2(3(0(1(2(5(4(5(4(2(0(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(3(5(5(1(4(0(3(5(1(3(0(4(1(5(1(4(3(3(2(2(4(5(5(1(5(4(4(0(2(4(4(1(1(2(3(2(2(2(1(2(0(2(4(5(3(1(5(3(4(4(0(2(1(4(1(2(3(3(4(3(1(5(3(4(1(4(0(4(5(2(4(1(5(1(1(0(4(2(1(4(3(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(2(3(5(0(0(0(4(4(4(3(0(5(2(2(3(4(3(1(4(5(0(2(4(1(0(3(5(0(5(2(4(2(4(2(0(2(3(2(1(1(3(0(4(4(1(3(2(4(1(0(2(2(4(1(0(2(3(5(4(3(2(3(0(4(3(0(0(4(4(5(0(4(4(0(1(4(4(4(3(0(0(2(2(2(5(5(0(5(1(3(3(0(0(3(2(4(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(3(2(1(2(3(2(5(3(3(4(0(2(0(3(3(2(0(3(4(3(3(2(1(4(0(2(4(0(5(1(5(5(5(4(1(4(5(0(4(1(3(1(1(0(3(3(5(5(3(4(3(2(4(1(0(3(2(1(3(1(0(5(2(5(3(4(4(2(4(1(4(5(0(0(0(1(1(3(4(1(2(1(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(2(5(2(3(5(3(1(0(4(1(1(0(1(3(3(0(0(0(1(4(2(1(3(0(0(0(3(4(5(4(1(2(5(0(0(4(0(0(5(5(5(0(1(3(0(0(5(3(5(1(2(1(2(1(2(4(2(2(1(0(1(3(3(0(0(4(3(2(2(3(0(2(0(3(5(0(1(5(2(5(5(1(4(1(0(2(3(4(3(3(2(4(5(5(0(2(5(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(2(3(2(2(1(1(2(4(4(3(2(1(0(2(5(4(2(2(1(3(3(2(5(5(5(4(2(1(2(0(5(5(1(4(3(0(3(2(1(2(1(5(5(3(5(0(0(1(3(3(4(4(0(3(0(2(2(1(3(2(2(1(5(1(1(2(0(5(2(0(4(2(1(2(4(1(5(3(2(4(4(0(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(4(5(2(2(3(5(2(4(5(2(4(4(5(4(5(1(0(3(0(4(4(1(1(1(0(0(5(0(2(2(3(0(0(5(1(3(3(3(1(4(0(4(2(5(3(3(2(3(1(1(0(1(0(0(3(4(5(5(4(4(5(4(0(5(2(3(0(5(2(5(5(3(5(4(4(5(1(2(3(4(0(1(1(0(0(3(2(4(4(2(0(5(4(0(4(1(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 4(1(4(1(3(0(4(3(0(4(3(0(1(1(0(0(0(4(5(3(2(4(1(4(2(0(1(4(4(5(5(3(1(0(3(4(3(2(5(1(5(1(4(2(1(4(1(5(2(0(5(3(1(2(0(1(5(4(3(4(3(3(3(5(4(1(1(3(5(5(2(2(1(1(1(3(2(4(1(3(3(5(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(3(4(3(2(3(2(0(4(2(3(5(0(2(5(0(0(4(1(1(2(4(4(0(0(1(4(0(1(2(2(4(2(2(4(3(0(0(2(3(3(4(3(5(3(0(2(1(2(0(5(1(5(2(0(2(1(3(1(4(1(2(5(2(2(4(5(0(4(3(2(4(2(5(3(4(1(2(1(1(1(0(4(2(5(2(5(2(3(2(1(1(2(3(0(5(1(5(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(4(0(2(3(5(0(1(4(3(1(4(4(4(3(2(5(0(1(3(5(5(3(0(2(3(1(0(2(3(2(1(1(5(2(2(4(5(1(1(4(3(2(4(1(4(5(1(4(3(3(0(3(1(4(4(4(2(4(1(1(3(0(3(4(3(1(1(1(5(3(4(3(0(0(0(5(5(5(1(4(4(3(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(0(4(0(1(0(4(4(4(2(1(3(5(2(5(0(1(5(4(0(0(0(3(1(0(0(1(1(2(1(5(0(3(4(4(1(2(1(0(0(5(3(0(2(0(2(2(3(3(2(4(4(4(2(4(2(4(3(0(2(1(5(2(5(0(4(2(3(5(0(4(5(4(2(2(5(2(3(1(3(3(3(2(5(2(4(0(4(1(2(3(0(3(5(4(2(2(2(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 3(2(3(4(4(3(1(0(5(3(2(1(2(0(1(5(1(4(0(5(3(1(4(3(2(4(4(2(0(2(1(3(0(1(5(2(4(5(0(4(3(3(2(1(1(2(3(0(4(3(4(1(5(2(4(1(0(4(4(5(1(0(2(1(5(5(5(3(5(4(2(1(4(2(1(5(0(1(3(3(1(5(5(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
3(5(2(3(2(5(0(2(2(2(3(0(1(2(1(0(5(1(0(3(3(3(5(0(2(5(0(0(3(1(3(3(4(1(3(0(4(1(1(1(5(5(1(1(2(2(1(2(5(3(2(2(3(2(2(3(4(1(3(2(3(0(5(0(1(0(0(5(1(0(4(0(4(2(2(3(4(1(3(3(0(4(4(4(2(0(2(0(2(4(3(2(2(5(0(3(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(3(5(5(4(2(1(4(5(4(2(1(3(5(0(1(2(3(3(4(3(5(4(5(2(4(2(4(1(3(4(2(1(1(1(2(1(4(4(0(5(3(3(4(1(4(0(5(2(4(2(5(0(5(4(4(3(3(0(0(4(0(3(3(2(1(4(4(1(3(1(3(4(2(0(5(4(3(3(4(1(5(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
1(2(2(3(4(0(3(5(3(3(4(4(1(5(4(5(1(2(0(2(0(0(5(1(0(3(5(4(3(2(5(5(5(1(2(2(5(2(0(5(4(5(3(0(1(1(4(3(4(5(1(3(0(5(1(1(1(2(2(4(0(5(4(3(5(2(3(1(1(0(2(2(1(5(0(0(0(0(1(0(0(4(3(2(0(5(4(0(2(0(3(2(3(4(2(2(3(1(1(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 2(4(1(5(4(4(2(3(0(1(5(5(3(1(0(4(5(0(5(2(2(5(4(1(1(1(1(5(5(2(5(1(2(0(3(0(1(5(3(3(1(0(2(1(2(5(3(4(3(5(0(3(4(4(5(5(4(3(1(1(0(5(0(5(4(4(1(2(1(5(4(2(0(1(3(2(4(2(4(1(5(5(2(4(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(0(3(2(5(5(0(5(5(0(3(4(3(5(3(3(0(2(3(5(3(4(1(1(3(5(0(4(1(2(1(5(5(0(5(0(0(0(4(3(0(4(3(4(5(2(5(3(0(0(0(0(1(0(0(5(2(5(4(2(5(4(0(0(4(2(2(5(5(3(3(5(2(5(2(2(0(3(2(1(5(0(3(0(3(5(0(4(3(5(5(3(3(3(2(5(4(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(4(3(5(5(4(4(4(3(1(1(1(3(4(0(5(5(1(3(1(5(3(1(5(5(4(3(5(1(5(5(1(4(5(5(4(3(3(1(4(2(4(4(3(0(1(4(4(4(3(0(3(2(1(0(1(1(4(2(3(5(3(2(1(5(4(0(5(3(2(5(2(1(4(5(3(5(3(2(5(2(1(2(5(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(3(5(3(2(4(5(2(2(0(2(0(2(0(2(5(1(5(2(2(5(0(1(1(1(2(4(3(1(1(4(2(5(5(3(2(3(3(2(3(4(0(1(0(5(1(2(3(0(5(0(1(3(3(5(0(5(0(0(3(3(4(2(4(5(5(0(5(0(5(2(5(1(4(3(1(3(0(2(3(3(1(2(3(1(1(0(0(0(0(4(2(1(5(3(4(0(3(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 1(5(2(2(4(4(5(3(4(3(2(4(1(3(4(4(1(1(0(3(4(5(3(0(5(3(1(1(3(1(5(4(4(0(3(5(0(1(3(4(3(1(5(2(0(4(4(0(2(0(3(4(2(2(2(0(3(0(2(5(1(4(5(5(1(4(1(1(5(0(5(3(5(1(0(4(2(2(4(0(1(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
4(0(1(4(0(0(4(1(5(0(4(5(4(4(0(5(3(1(2(5(2(3(0(5(5(3(2(0(4(5(5(1(5(5(2(2(3(4(0(5(0(4(0(1(2(2(3(0(3(1(3(0(2(2(1(2(3(4(3(0(1(5(3(2(4(5(0(1(2(3(2(0(5(2(3(0(2(0(3(2(1(5(3(1(0(0(0(3(5(0(1(4(3(3(5(2(5(3(3(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(4(3(3(0(4(1(5(1(1(1(1(2(5(2(0(2(2(1(5(3(0(3(5(1(1(2(5(4(5(0(0(5(2(5(2(1(4(0(2(0(1(3(2(4(4(1(4(5(3(1(4(5(1(4(1(3(5(4(3(4(1(4(3(0(3(3(4(5(1(1(4(5(3(4(5(2(4(1(0(3(3(4(1(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(0(1(1(0(5(1(5(4(2(0(2(1(0(0(0(0(3(0(0(1(2(1(3(4(4(0(2(2(0(2(5(4(2(4(2(1(1(4(4(5(2(3(1(2(3(5(1(2(3(4(3(3(0(5(0(5(5(4(2(5(2(3(5(0(4(3(0(4(5(3(5(3(3(0(2(0(2(3(2(4(5(0(5(0(0(4(0(3(0(0(2(5(5(3(3(4(2(0(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(4(3(1(3(5(0(3(4(0(4(2(4(3(2(0(1(5(5(2(3(3(4(4(5(4(1(3(3(0(4(3(2(5(4(4(5(2(2(0(3(1(5(2(5(4(2(1(4(3(4(1(5(5(0(0(0(2(1(4(4(3(0(2(0(3(2(2(1(2(4(4(0(1(1(0(4(5(3(2(4(3(3(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
2(3(4(4(2(0(3(0(4(2(5(0(5(0(5(0(1(3(4(4(2(3(1(5(0(5(3(4(3(2(3(0(2(2(0(0(5(3(4(1(4(2(3(3(4(4(5(1(3(0(2(4(5(1(0(0(0(3(2(1(1(2(2(4(2(3(4(0(3(0(0(0(1(5(3(5(5(1(5(1(2(5(0(5(3(0(4(4(2(2(5(0(5(0(3(0(3(0(3(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(4(5(1(4(5(0(2(4(5(5(3(4(1(3(0(1(3(1(4(2(4(4(5(4(0(5(0(2(4(3(1(4(0(4(1(3(3(1(1(4(5(4(4(1(4(1(4(1(3(1(2(2(5(1(4(5(4(2(2(0(5(5(0(0(1(1(5(4(5(5(2(1(1(0(5(1(3(3(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
5(4(5(1(0(1(0(0(2(3(0(5(4(2(3(2(0(0(1(3(2(4(1(0(3(4(0(0(2(2(4(5(0(2(1(1(4(2(3(5(3(5(0(4(4(2(1(0(2(2(1(1(3(1(3(1(2(3(2(2(3(5(2(5(3(0(2(4(0(3(4(4(5(2(3(0(0(2(3(5(3(0(1(2(5(0(2(0(3(2(4(1(2(4(4(4(2(3(1(4(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(3(3(1(1(5(5(2(2(2(5(5(5(0(1(3(4(5(5(2(2(1(3(3(5(1(5(5(0(4(3(0(0(1(3(4(0(1(5(3(4(3(2(2(0(1(4(4(3(5(2(0(2(0(5(2(1(3(2(0(4(1(4(5(2(0(0(0(4(5(1(2(2(3(5(2(1(2(3(0(0(3(5(3(4(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(0(1(2(5(2(5(0(3(3(3(0(2(5(3(1(2(4(3(2(3(1(4(5(5(0(1(0(0(1(1(0(0(3(4(1(0(2(5(5(0(2(4(0(4(2(2(4(5(5(3(4(1(0(2(2(3(0(1(2(5(1(0(1(3(2(5(0(2(3(0(2(5(2(2(3(4(1(1(4(1(0(3(1(2(0(4(5(3(3(3(0(3(5(0(0(0(4(2(3(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
, 0(0(1(2(1(1(2(0(1(3(4(2(0(3(0(2(0(4(0(1(3(4(4(0(5(3(2(1(2(5(3(2(0(5(3(1(5(1(1(2(1(1(2(4(2(4(1(5(2(2(4(1(3(5(5(0(0(3(4(2(4(0(5(4(5(4(4(2(1(3(5(4(2(4(0(4(5(2(0(5(1(4(5(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
->
0(5(1(4(0(0(4(4(2(5(4(1(3(3(5(2(3(5(3(3(1(4(3(2(2(2(3(5(0(0(1(1(0(5(0(0(1(0(5(2(1(2(1(5(3(2(1(0(1(0(2(0(0(3(0(3(0(1(3(4(0(2(4(5(1(5(5(2(5(1(3(5(0(2(4(2(1(3(5(2(3(0(0(2(0(3(2(3(0(1(0(0(1(1(2(4(0(2(5(5(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..