Tool Bounds
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(1(5(4(3(3(4(3(2(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
->
5(1(5(4(3(3(4(2(3(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
, 3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(5(0(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
->
3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(0(5(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
, 2(4(2(5(4(0(0(1(0(3(4(4(4(5(2(5(4(3(3(2(4(3(4(4(5(4(4(3(4(4(x1))))))))))))))))))))))))))))))
->
2(4(5(4(0(2(3(0(0(4(1(2(4(4(5(5(4(4(3(3(2(3(5(4(4(4(4(3(4(4(x1))))))))))))))))))))))))))))))
, 1(2(3(2(0(2(5(3(0(1(1(4(2(0(1(2(1(0(2(0(0(2(4(0(2(4(1(4(5(4(x1))))))))))))))))))))))))))))))
->
1(2(3(2(0(2(1(5(3(0(1(2(0(4(1(2(1(0(2(0(4(2(0(0(2(4(4(1(5(4(x1))))))))))))))))))))))))))))))
, 4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(1(3(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
->
4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(3(1(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
, 5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(5(1(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
->
5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(1(5(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
, 4(1(0(2(2(2(2(1(0(1(4(1(1(4(3(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
->
4(1(0(2(2(2(2(1(0(1(4(1(1(3(4(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
, 5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(1(3(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
->
5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(3(1(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
, 4(5(1(1(3(3(4(0(0(3(2(5(2(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
->
4(5(1(1(3(3(4(0(0(3(2(2(5(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
, 4(3(4(5(4(3(2(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
->
4(3(4(4(5(2(3(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
, 2(5(4(0(1(1(0(2(1(0(2(1(3(1(4(2(2(4(2(5(4(3(4(3(3(2(x1))))))))))))))))))))))))))
->
2(0(5(4(1(1(2(0(0(1(2(1(1(2(3(4(4(2(2(5(4(4(3(3(3(2(x1))))))))))))))))))))))))))
, 1(5(4(5(4(1(5(5(3(5(3(1(0(3(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
->
1(5(4(5(4(1(5(5(3(5(3(1(3(0(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
, 4(5(5(0(0(4(0(3(4(0(3(2(4(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
->
4(5(5(0(0(4(0(3(4(0(3(4(2(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
, 4(2(4(0(4(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
->
4(2(4(4(0(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
, 1(1(3(5(0(4(1(2(5(4(3(5(4(4(0(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
->
1(1(3(5(0(4(1(2(5(4(3(5(4(0(4(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
, 2(4(4(3(4(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
->
2(4(4(4(3(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
, 2(1(2(4(0(4(4(0(3(1(5(2(0(3(2(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
->
2(1(2(4(0(4(4(0(3(1(5(2(0(2(3(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
, 5(5(5(5(1(5(2(5(2(5(1(1(4(1(2(0(3(1(5(4(5(0(x1))))))))))))))))))))))
->
5(5(5(5(1(5(2(2(5(5(1(1(1(4(2(3(0(1(5(5(0(4(x1))))))))))))))))))))))
, 2(3(4(0(5(1(1(0(5(3(1(0(4(2(5(3(4(0(3(5(1(1(x1))))))))))))))))))))))
->
2(3(0(4(1(5(0(1(3(5(1(0(4(3(5(0(4(2(5(3(1(1(x1))))))))))))))))))))))
, 4(4(1(1(5(2(2(2(2(3(0(0(0(4(2(2(2(5(2(2(4(x1)))))))))))))))))))))
->
4(4(1(1(5(2(2(2(2(3(0(0(0(2(4(2(2(5(2(2(4(x1)))))))))))))))))))))
, 1(4(3(3(4(2(0(4(3(3(5(0(1(4(1(3(0(2(5(0(2(x1)))))))))))))))))))))
->
1(4(2(4(3(3(0(4(3(3(5(0(4(3(1(1(0(5(2(2(0(x1)))))))))))))))))))))
, 1(1(5(0(4(0(1(5(5(5(0(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
->
1(1(5(0(4(0(1(5(5(0(5(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
, 0(3(1(2(4(1(5(5(4(0(0(3(5(0(4(2(0(1(3(4(0(x1)))))))))))))))))))))
->
0(3(1(2(4(1(5(5(4(0(0(3(5(4(0(2(0(1(3(4(0(x1)))))))))))))))))))))
, 3(2(3(3(4(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1)))))))))))))))))))) ->
3(2(3(4(3(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1))))))))))))))))))))
, 5(2(3(4(4(4(0(2(1(1(3(2(0(0(3(3(0(2(x1)))))))))))))))))) ->
5(2(3(4(4(4(0(2(1(1(2(3(0(0(3(3(0(2(x1))))))))))))))))))
, 0(3(3(5(3(4(0(3(1(1(0(3(1(0(2(3(4(0(x1)))))))))))))))))) ->
0(3(3(5(3(4(0(3(1(1(0(3(0(1(2(3(4(0(x1))))))))))))))))))
, 3(0(4(2(5(3(5(3(5(4(2(4(5(1(0(5(4(x1))))))))))))))))) ->
3(0(4(2(5(5(3(3(5(4(2(4(5(1(0(5(4(x1)))))))))))))))))
, 4(4(2(5(2(3(0(5(3(3(0(1(3(0(5(1(x1)))))))))))))))) ->
4(4(5(2(2(3(0(5(3(3(0(1(3(0(5(1(x1))))))))))))))))
, 3(2(5(3(1(0(0(5(4(1(3(1(2(3(2(1(x1)))))))))))))))) ->
3(2(5(1(3(0(5(0(4(1(3(1(2(3(2(1(x1))))))))))))))))
, 5(2(1(0(0(3(1(5(3(2(1(3(0(0(4(x1))))))))))))))) ->
5(2(1(0(0(3(1(5(2(3(3(0(1(0(4(x1)))))))))))))))
, 4(5(5(0(1(2(0(3(0(3(3(4(3(4(4(x1))))))))))))))) ->
4(5(5(0(1(2(0(3(3(0(4(3(3(4(4(x1)))))))))))))))
, 2(4(4(4(0(3(5(1(5(2(1(2(5(5(x1)))))))))))))) ->
2(4(4(0(4(3(5(1(5(2(1(2(5(5(x1))))))))))))))
, 4(4(4(1(1(1(4(1(5(4(4(4(4(x1))))))))))))) ->
3(0(3(5(4(0(4(1(5(0(x1))))))))))
, 4(4(4(0(3(3(5(0(5(1(0(5(0(x1))))))))))))) ->
4(4(4(0(3(3(0(5(5(1(0(5(0(x1)))))))))))))
, 2(3(2(2(5(0(4(3(3(2(0(1(4(x1))))))))))))) ->
2(3(2(2(5(0(4(3(2(3(0(1(4(x1)))))))))))))
, 1(0(4(1(0(4(3(4(0(0(4(2(0(x1))))))))))))) ->
1(0(4(1(0(4(3(0(4(0(4(2(0(x1)))))))))))))
, 4(2(3(2(3(2(2(0(5(3(3(4(x1)))))))))))) ->
5(2(0(0(0(3(1(5(3(0(x1))))))))))
, 3(1(0(0(2(0(5(5(4(0(3(4(x1)))))))))))) ->
1(5(4(4(3(0(0(3(3(5(x1))))))))))
, 2(4(5(4(3(2(1(4(0(2(4(0(x1)))))))))))) ->
3(3(5(0(1(0(4(3(0(3(x1))))))))))
, 1(4(5(5(0(4(5(1(5(5(2(1(x1)))))))))))) ->
3(1(3(0(3(4(4(1(0(1(x1))))))))))
, 0(5(4(2(4(5(2(1(4(3(4(4(x1)))))))))))) ->
3(4(2(0(1(3(5(3(2(3(x1))))))))))
, 0(5(2(1(0(5(0(4(4(0(3(4(x1)))))))))))) ->
1(1(0(5(1(1(3(3(2(3(x1))))))))))
, 0(0(2(4(5(5(2(3(4(1(0(2(x1)))))))))))) ->
5(1(5(0(3(2(5(1(4(3(x1))))))))))
, 5(4(5(4(3(4(5(5(5(1(1(x1))))))))))) ->
0(2(0(3(1(3(0(4(5(4(x1))))))))))
, 5(4(4(5(5(0(2(5(0(1(4(x1))))))))))) ->
0(5(1(5(5(4(0(2(3(2(x1))))))))))
, 5(4(2(3(2(1(5(0(4(0(1(x1))))))))))) ->
1(4(0(2(1(3(0(0(2(5(x1))))))))))
, 5(3(2(1(2(5(1(5(2(5(1(x1))))))))))) ->
1(0(3(1(5(4(1(5(2(5(x1))))))))))
, 5(2(5(5(3(0(5(5(5(2(4(x1))))))))))) ->
0(4(3(3(2(3(1(1(5(2(x1))))))))))
, 4(5(4(0(2(0(2(1(0(1(3(x1))))))))))) ->
5(3(2(1(0(1(4(4(0(0(x1))))))))))
, 4(5(4(0(0(5(5(0(2(5(2(x1))))))))))) ->
3(4(5(0(2(1(5(0(1(4(x1))))))))))
, 4(5(0(3(4(4(3(2(0(4(3(x1))))))))))) ->
1(0(1(1(5(2(3(5(3(2(x1))))))))))
, 4(4(1(3(3(1(1(2(4(5(3(x1))))))))))) ->
1(2(0(5(4(0(1(4(1(1(x1))))))))))
, 4(1(4(2(3(2(1(4(3(4(0(x1))))))))))) ->
1(1(2(5(5(1(4(0(5(3(x1))))))))))
, 4(0(4(1(2(5(0(2(3(3(2(x1))))))))))) ->
3(1(4(5(2(1(5(3(0(1(x1))))))))))
, 3(5(1(2(1(5(1(0(0(5(2(x1))))))))))) ->
0(5(3(0(3(2(0(0(2(0(x1))))))))))
, 3(4(3(1(2(3(2(5(2(2(0(x1))))))))))) ->
1(1(4(0(1(5(5(5(1(4(x1))))))))))
, 3(3(3(0(5(3(2(4(5(3(2(x1))))))))))) ->
0(3(4(2(4(1(3(4(0(3(x1))))))))))
, 3(2(1(3(2(4(4(0(5(3(4(x1))))))))))) ->
0(3(5(5(4(4(4(4(0(1(x1))))))))))
, 3(1(4(5(2(3(5(5(4(2(2(x1))))))))))) ->
3(4(5(0(0(0(3(2(3(0(x1))))))))))
, 3(1(2(1(0(2(3(3(4(3(0(x1))))))))))) ->
3(0(0(2(4(5(4(4(5(3(x1))))))))))
, 3(0(2(1(4(5(3(2(4(5(0(x1))))))))))) ->
4(0(5(1(1(5(1(2(2(3(x1))))))))))
, 2(5(2(4(3(5(2(4(2(3(1(x1))))))))))) ->
1(5(4(2(1(1(0(5(4(2(x1))))))))))
, 2(3(4(1(3(2(4(1(4(0(0(x1))))))))))) ->
5(2(2(2(2(1(4(4(2(0(x1))))))))))
, 2(2(1(0(5(0(0(3(0(5(2(x1))))))))))) ->
1(0(2(2(2(4(5(3(4(4(x1))))))))))
, 2(1(5(2(1(0(3(5(0(1(5(x1))))))))))) ->
3(0(4(3(0(2(5(2(3(3(x1))))))))))
, 1(4(5(5(2(2(5(3(5(4(5(x1))))))))))) ->
5(0(2(0(5(2(2(2(0(0(x1))))))))))
, 1(4(3(5(5(1(0(4(3(2(0(x1))))))))))) ->
3(2(4(3(2(4(0(3(5(4(x1))))))))))
, 1(3(2(2(0(3(3(5(5(3(1(x1))))))))))) ->
2(3(5(3(1(2(5(1(5(4(x1))))))))))
, 1(2(5(5(1(4(5(5(1(0(1(x1))))))))))) ->
0(3(5(5(2(3(0(4(2(5(x1))))))))))
, 1(0(5(1(4(5(3(5(4(4(5(x1))))))))))) ->
1(5(5(5(4(3(0(4(1(4(5(x1)))))))))))
, 1(0(2(5(1(5(1(3(4(0(0(x1))))))))))) ->
1(0(2(5(5(1(1(3(4(0(0(x1)))))))))))
, 1(0(0(4(1(1(5(5(4(4(0(x1))))))))))) ->
4(0(4(0(2(5(1(0(3(5(x1))))))))))
, 0(5(1(2(1(1(2(1(2(1(0(x1))))))))))) ->
1(2(1(2(1(3(0(4(4(3(x1))))))))))
, 0(2(3(3(0(4(2(4(3(0(1(x1))))))))))) ->
3(4(5(0(2(0(4(0(1(5(x1))))))))))
, 0(2(2(2(0(2(3(1(5(1(1(x1))))))))))) ->
1(5(0(3(4(4(4(3(1(3(x1))))))))))
, 0(1(4(1(2(1(4(5(0(2(1(x1))))))))))) ->
2(4(3(4(1(0(5(3(3(4(x1))))))))))
, 0(1(3(4(5(2(1(3(5(0(4(x1))))))))))) ->
1(4(4(5(1(0(3(5(3(5(x1))))))))))
, 0(1(0(5(3(5(1(2(1(2(1(x1))))))))))) ->
1(3(5(0(5(1(5(5(2(0(x1))))))))))
, 0(0(1(0(0(3(2(0(4(1(5(x1))))))))))) ->
3(5(2(3(3(4(3(5(5(1(x1))))))))))
, 0(0(0(5(4(2(3(3(3(1(0(x1))))))))))) ->
5(2(5(0(0(3(3(2(3(5(x1))))))))))
, 4(0(0(4(5(1(1(5(1(5(x1)))))))))) ->
4(2(5(0(2(4(3(4(4(4(x1))))))))))
, 3(0(1(2(1(2(5(0(0(1(x1)))))))))) ->
3(0(1(2(1(5(2(0(0(1(x1))))))))))
, 1(5(4(4(4(3(4(3(0(5(x1)))))))))) ->
2(5(1(2(4(2(4(0(2(5(x1))))))))))
, 1(3(4(2(0(4(5(0(1(3(x1)))))))))) ->
1(2(4(0(1(0(5(3(4(3(x1))))))))))
, 1(2(4(5(1(1(0(1(0(2(x1)))))))))) ->
2(2(4(1(0(1(2(1(5(2(x1))))))))))
, 1(2(4(5(1(0(3(1(4(4(x1)))))))))) ->
1(2(4(5(1(3(0(1(4(4(x1))))))))))
, 1(2(2(3(3(0(1(5(4(1(x1)))))))))) ->
1(0(2(4(3(1(2(4(2(3(x1))))))))))
, 1(1(4(5(1(0(0(5(2(1(x1)))))))))) ->
2(4(3(4(0(2(4(1(5(3(x1))))))))))
, 1(0(2(5(1(4(2(5(1(0(x1)))))))))) ->
2(4(2(1(0(3(2(2(5(4(x1))))))))))
, 0(4(4(3(3(0(0(0(3(5(x1)))))))))) ->
0(4(3(4(3(0(0(0(3(5(x1))))))))))
, 0(3(1(1(1(0(3(4(1(3(x1)))))))))) ->
2(2(2(2(5(2(4(4(0(2(x1))))))))))
, 1(3(4(5(3(4(5(1(1(x1))))))))) -> 1(5(3(4(4(1(5(3(1(x1)))))))))
, 0(1(2(2(0(3(4(5(1(x1))))))))) -> 0(1(2(2(3(0(4(5(1(x1)))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(1(5(4(3(3(4(3(2(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
->
5(1(5(4(3(3(4(2(3(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
, 3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(5(0(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
->
3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(0(5(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
, 2(4(2(5(4(0(0(1(0(3(4(4(4(5(2(5(4(3(3(2(4(3(4(4(5(4(4(3(4(4(x1))))))))))))))))))))))))))))))
->
2(4(5(4(0(2(3(0(0(4(1(2(4(4(5(5(4(4(3(3(2(3(5(4(4(4(4(3(4(4(x1))))))))))))))))))))))))))))))
, 1(2(3(2(0(2(5(3(0(1(1(4(2(0(1(2(1(0(2(0(0(2(4(0(2(4(1(4(5(4(x1))))))))))))))))))))))))))))))
->
1(2(3(2(0(2(1(5(3(0(1(2(0(4(1(2(1(0(2(0(4(2(0(0(2(4(4(1(5(4(x1))))))))))))))))))))))))))))))
, 4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(1(3(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
->
4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(3(1(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
, 5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(5(1(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
->
5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(1(5(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
, 4(1(0(2(2(2(2(1(0(1(4(1(1(4(3(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
->
4(1(0(2(2(2(2(1(0(1(4(1(1(3(4(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
, 5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(1(3(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
->
5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(3(1(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
, 4(5(1(1(3(3(4(0(0(3(2(5(2(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
->
4(5(1(1(3(3(4(0(0(3(2(2(5(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
, 4(3(4(5(4(3(2(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
->
4(3(4(4(5(2(3(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
, 2(5(4(0(1(1(0(2(1(0(2(1(3(1(4(2(2(4(2(5(4(3(4(3(3(2(x1))))))))))))))))))))))))))
->
2(0(5(4(1(1(2(0(0(1(2(1(1(2(3(4(4(2(2(5(4(4(3(3(3(2(x1))))))))))))))))))))))))))
, 1(5(4(5(4(1(5(5(3(5(3(1(0(3(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
->
1(5(4(5(4(1(5(5(3(5(3(1(3(0(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
, 4(5(5(0(0(4(0(3(4(0(3(2(4(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
->
4(5(5(0(0(4(0(3(4(0(3(4(2(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
, 4(2(4(0(4(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
->
4(2(4(4(0(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
, 1(1(3(5(0(4(1(2(5(4(3(5(4(4(0(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
->
1(1(3(5(0(4(1(2(5(4(3(5(4(0(4(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
, 2(4(4(3(4(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
->
2(4(4(4(3(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
, 2(1(2(4(0(4(4(0(3(1(5(2(0(3(2(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
->
2(1(2(4(0(4(4(0(3(1(5(2(0(2(3(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
, 5(5(5(5(1(5(2(5(2(5(1(1(4(1(2(0(3(1(5(4(5(0(x1))))))))))))))))))))))
->
5(5(5(5(1(5(2(2(5(5(1(1(1(4(2(3(0(1(5(5(0(4(x1))))))))))))))))))))))
, 2(3(4(0(5(1(1(0(5(3(1(0(4(2(5(3(4(0(3(5(1(1(x1))))))))))))))))))))))
->
2(3(0(4(1(5(0(1(3(5(1(0(4(3(5(0(4(2(5(3(1(1(x1))))))))))))))))))))))
, 4(4(1(1(5(2(2(2(2(3(0(0(0(4(2(2(2(5(2(2(4(x1)))))))))))))))))))))
->
4(4(1(1(5(2(2(2(2(3(0(0(0(2(4(2(2(5(2(2(4(x1)))))))))))))))))))))
, 1(4(3(3(4(2(0(4(3(3(5(0(1(4(1(3(0(2(5(0(2(x1)))))))))))))))))))))
->
1(4(2(4(3(3(0(4(3(3(5(0(4(3(1(1(0(5(2(2(0(x1)))))))))))))))))))))
, 1(1(5(0(4(0(1(5(5(5(0(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
->
1(1(5(0(4(0(1(5(5(0(5(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
, 0(3(1(2(4(1(5(5(4(0(0(3(5(0(4(2(0(1(3(4(0(x1)))))))))))))))))))))
->
0(3(1(2(4(1(5(5(4(0(0(3(5(4(0(2(0(1(3(4(0(x1)))))))))))))))))))))
, 3(2(3(3(4(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1)))))))))))))))))))) ->
3(2(3(4(3(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1))))))))))))))))))))
, 5(2(3(4(4(4(0(2(1(1(3(2(0(0(3(3(0(2(x1)))))))))))))))))) ->
5(2(3(4(4(4(0(2(1(1(2(3(0(0(3(3(0(2(x1))))))))))))))))))
, 0(3(3(5(3(4(0(3(1(1(0(3(1(0(2(3(4(0(x1)))))))))))))))))) ->
0(3(3(5(3(4(0(3(1(1(0(3(0(1(2(3(4(0(x1))))))))))))))))))
, 3(0(4(2(5(3(5(3(5(4(2(4(5(1(0(5(4(x1))))))))))))))))) ->
3(0(4(2(5(5(3(3(5(4(2(4(5(1(0(5(4(x1)))))))))))))))))
, 4(4(2(5(2(3(0(5(3(3(0(1(3(0(5(1(x1)))))))))))))))) ->
4(4(5(2(2(3(0(5(3(3(0(1(3(0(5(1(x1))))))))))))))))
, 3(2(5(3(1(0(0(5(4(1(3(1(2(3(2(1(x1)))))))))))))))) ->
3(2(5(1(3(0(5(0(4(1(3(1(2(3(2(1(x1))))))))))))))))
, 5(2(1(0(0(3(1(5(3(2(1(3(0(0(4(x1))))))))))))))) ->
5(2(1(0(0(3(1(5(2(3(3(0(1(0(4(x1)))))))))))))))
, 4(5(5(0(1(2(0(3(0(3(3(4(3(4(4(x1))))))))))))))) ->
4(5(5(0(1(2(0(3(3(0(4(3(3(4(4(x1)))))))))))))))
, 2(4(4(4(0(3(5(1(5(2(1(2(5(5(x1)))))))))))))) ->
2(4(4(0(4(3(5(1(5(2(1(2(5(5(x1))))))))))))))
, 4(4(4(1(1(1(4(1(5(4(4(4(4(x1))))))))))))) ->
3(0(3(5(4(0(4(1(5(0(x1))))))))))
, 4(4(4(0(3(3(5(0(5(1(0(5(0(x1))))))))))))) ->
4(4(4(0(3(3(0(5(5(1(0(5(0(x1)))))))))))))
, 2(3(2(2(5(0(4(3(3(2(0(1(4(x1))))))))))))) ->
2(3(2(2(5(0(4(3(2(3(0(1(4(x1)))))))))))))
, 1(0(4(1(0(4(3(4(0(0(4(2(0(x1))))))))))))) ->
1(0(4(1(0(4(3(0(4(0(4(2(0(x1)))))))))))))
, 4(2(3(2(3(2(2(0(5(3(3(4(x1)))))))))))) ->
5(2(0(0(0(3(1(5(3(0(x1))))))))))
, 3(1(0(0(2(0(5(5(4(0(3(4(x1)))))))))))) ->
1(5(4(4(3(0(0(3(3(5(x1))))))))))
, 2(4(5(4(3(2(1(4(0(2(4(0(x1)))))))))))) ->
3(3(5(0(1(0(4(3(0(3(x1))))))))))
, 1(4(5(5(0(4(5(1(5(5(2(1(x1)))))))))))) ->
3(1(3(0(3(4(4(1(0(1(x1))))))))))
, 0(5(4(2(4(5(2(1(4(3(4(4(x1)))))))))))) ->
3(4(2(0(1(3(5(3(2(3(x1))))))))))
, 0(5(2(1(0(5(0(4(4(0(3(4(x1)))))))))))) ->
1(1(0(5(1(1(3(3(2(3(x1))))))))))
, 0(0(2(4(5(5(2(3(4(1(0(2(x1)))))))))))) ->
5(1(5(0(3(2(5(1(4(3(x1))))))))))
, 5(4(5(4(3(4(5(5(5(1(1(x1))))))))))) ->
0(2(0(3(1(3(0(4(5(4(x1))))))))))
, 5(4(4(5(5(0(2(5(0(1(4(x1))))))))))) ->
0(5(1(5(5(4(0(2(3(2(x1))))))))))
, 5(4(2(3(2(1(5(0(4(0(1(x1))))))))))) ->
1(4(0(2(1(3(0(0(2(5(x1))))))))))
, 5(3(2(1(2(5(1(5(2(5(1(x1))))))))))) ->
1(0(3(1(5(4(1(5(2(5(x1))))))))))
, 5(2(5(5(3(0(5(5(5(2(4(x1))))))))))) ->
0(4(3(3(2(3(1(1(5(2(x1))))))))))
, 4(5(4(0(2(0(2(1(0(1(3(x1))))))))))) ->
5(3(2(1(0(1(4(4(0(0(x1))))))))))
, 4(5(4(0(0(5(5(0(2(5(2(x1))))))))))) ->
3(4(5(0(2(1(5(0(1(4(x1))))))))))
, 4(5(0(3(4(4(3(2(0(4(3(x1))))))))))) ->
1(0(1(1(5(2(3(5(3(2(x1))))))))))
, 4(4(1(3(3(1(1(2(4(5(3(x1))))))))))) ->
1(2(0(5(4(0(1(4(1(1(x1))))))))))
, 4(1(4(2(3(2(1(4(3(4(0(x1))))))))))) ->
1(1(2(5(5(1(4(0(5(3(x1))))))))))
, 4(0(4(1(2(5(0(2(3(3(2(x1))))))))))) ->
3(1(4(5(2(1(5(3(0(1(x1))))))))))
, 3(5(1(2(1(5(1(0(0(5(2(x1))))))))))) ->
0(5(3(0(3(2(0(0(2(0(x1))))))))))
, 3(4(3(1(2(3(2(5(2(2(0(x1))))))))))) ->
1(1(4(0(1(5(5(5(1(4(x1))))))))))
, 3(3(3(0(5(3(2(4(5(3(2(x1))))))))))) ->
0(3(4(2(4(1(3(4(0(3(x1))))))))))
, 3(2(1(3(2(4(4(0(5(3(4(x1))))))))))) ->
0(3(5(5(4(4(4(4(0(1(x1))))))))))
, 3(1(4(5(2(3(5(5(4(2(2(x1))))))))))) ->
3(4(5(0(0(0(3(2(3(0(x1))))))))))
, 3(1(2(1(0(2(3(3(4(3(0(x1))))))))))) ->
3(0(0(2(4(5(4(4(5(3(x1))))))))))
, 3(0(2(1(4(5(3(2(4(5(0(x1))))))))))) ->
4(0(5(1(1(5(1(2(2(3(x1))))))))))
, 2(5(2(4(3(5(2(4(2(3(1(x1))))))))))) ->
1(5(4(2(1(1(0(5(4(2(x1))))))))))
, 2(3(4(1(3(2(4(1(4(0(0(x1))))))))))) ->
5(2(2(2(2(1(4(4(2(0(x1))))))))))
, 2(2(1(0(5(0(0(3(0(5(2(x1))))))))))) ->
1(0(2(2(2(4(5(3(4(4(x1))))))))))
, 2(1(5(2(1(0(3(5(0(1(5(x1))))))))))) ->
3(0(4(3(0(2(5(2(3(3(x1))))))))))
, 1(4(5(5(2(2(5(3(5(4(5(x1))))))))))) ->
5(0(2(0(5(2(2(2(0(0(x1))))))))))
, 1(4(3(5(5(1(0(4(3(2(0(x1))))))))))) ->
3(2(4(3(2(4(0(3(5(4(x1))))))))))
, 1(3(2(2(0(3(3(5(5(3(1(x1))))))))))) ->
2(3(5(3(1(2(5(1(5(4(x1))))))))))
, 1(2(5(5(1(4(5(5(1(0(1(x1))))))))))) ->
0(3(5(5(2(3(0(4(2(5(x1))))))))))
, 1(0(5(1(4(5(3(5(4(4(5(x1))))))))))) ->
1(5(5(5(4(3(0(4(1(4(5(x1)))))))))))
, 1(0(2(5(1(5(1(3(4(0(0(x1))))))))))) ->
1(0(2(5(5(1(1(3(4(0(0(x1)))))))))))
, 1(0(0(4(1(1(5(5(4(4(0(x1))))))))))) ->
4(0(4(0(2(5(1(0(3(5(x1))))))))))
, 0(5(1(2(1(1(2(1(2(1(0(x1))))))))))) ->
1(2(1(2(1(3(0(4(4(3(x1))))))))))
, 0(2(3(3(0(4(2(4(3(0(1(x1))))))))))) ->
3(4(5(0(2(0(4(0(1(5(x1))))))))))
, 0(2(2(2(0(2(3(1(5(1(1(x1))))))))))) ->
1(5(0(3(4(4(4(3(1(3(x1))))))))))
, 0(1(4(1(2(1(4(5(0(2(1(x1))))))))))) ->
2(4(3(4(1(0(5(3(3(4(x1))))))))))
, 0(1(3(4(5(2(1(3(5(0(4(x1))))))))))) ->
1(4(4(5(1(0(3(5(3(5(x1))))))))))
, 0(1(0(5(3(5(1(2(1(2(1(x1))))))))))) ->
1(3(5(0(5(1(5(5(2(0(x1))))))))))
, 0(0(1(0(0(3(2(0(4(1(5(x1))))))))))) ->
3(5(2(3(3(4(3(5(5(1(x1))))))))))
, 0(0(0(5(4(2(3(3(3(1(0(x1))))))))))) ->
5(2(5(0(0(3(3(2(3(5(x1))))))))))
, 4(0(0(4(5(1(1(5(1(5(x1)))))))))) ->
4(2(5(0(2(4(3(4(4(4(x1))))))))))
, 3(0(1(2(1(2(5(0(0(1(x1)))))))))) ->
3(0(1(2(1(5(2(0(0(1(x1))))))))))
, 1(5(4(4(4(3(4(3(0(5(x1)))))))))) ->
2(5(1(2(4(2(4(0(2(5(x1))))))))))
, 1(3(4(2(0(4(5(0(1(3(x1)))))))))) ->
1(2(4(0(1(0(5(3(4(3(x1))))))))))
, 1(2(4(5(1(1(0(1(0(2(x1)))))))))) ->
2(2(4(1(0(1(2(1(5(2(x1))))))))))
, 1(2(4(5(1(0(3(1(4(4(x1)))))))))) ->
1(2(4(5(1(3(0(1(4(4(x1))))))))))
, 1(2(2(3(3(0(1(5(4(1(x1)))))))))) ->
1(0(2(4(3(1(2(4(2(3(x1))))))))))
, 1(1(4(5(1(0(0(5(2(1(x1)))))))))) ->
2(4(3(4(0(2(4(1(5(3(x1))))))))))
, 1(0(2(5(1(4(2(5(1(0(x1)))))))))) ->
2(4(2(1(0(3(2(2(5(4(x1))))))))))
, 0(4(4(3(3(0(0(0(3(5(x1)))))))))) ->
0(4(3(4(3(0(0(0(3(5(x1))))))))))
, 0(3(1(1(1(0(3(4(1(3(x1)))))))))) ->
2(2(2(2(5(2(4(4(0(2(x1))))))))))
, 1(3(4(5(3(4(5(1(1(x1))))))))) -> 1(5(3(4(4(1(5(3(1(x1)))))))))
, 0(1(2(2(0(3(4(5(1(x1))))))))) -> 0(1(2(2(3(0(4(5(1(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(1(5(4(3(3(4(3(2(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
->
5(1(5(4(3(3(4(2(3(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
, 3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(5(0(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
->
3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(0(5(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
, 2(4(2(5(4(0(0(1(0(3(4(4(4(5(2(5(4(3(3(2(4(3(4(4(5(4(4(3(4(4(x1))))))))))))))))))))))))))))))
->
2(4(5(4(0(2(3(0(0(4(1(2(4(4(5(5(4(4(3(3(2(3(5(4(4(4(4(3(4(4(x1))))))))))))))))))))))))))))))
, 1(2(3(2(0(2(5(3(0(1(1(4(2(0(1(2(1(0(2(0(0(2(4(0(2(4(1(4(5(4(x1))))))))))))))))))))))))))))))
->
1(2(3(2(0(2(1(5(3(0(1(2(0(4(1(2(1(0(2(0(4(2(0(0(2(4(4(1(5(4(x1))))))))))))))))))))))))))))))
, 4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(1(3(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
->
4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(3(1(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
, 5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(5(1(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
->
5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(1(5(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
, 4(1(0(2(2(2(2(1(0(1(4(1(1(4(3(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
->
4(1(0(2(2(2(2(1(0(1(4(1(1(3(4(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
, 5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(1(3(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
->
5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(3(1(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
, 4(5(1(1(3(3(4(0(0(3(2(5(2(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
->
4(5(1(1(3(3(4(0(0(3(2(2(5(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
, 4(3(4(5(4(3(2(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
->
4(3(4(4(5(2(3(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
, 2(5(4(0(1(1(0(2(1(0(2(1(3(1(4(2(2(4(2(5(4(3(4(3(3(2(x1))))))))))))))))))))))))))
->
2(0(5(4(1(1(2(0(0(1(2(1(1(2(3(4(4(2(2(5(4(4(3(3(3(2(x1))))))))))))))))))))))))))
, 1(5(4(5(4(1(5(5(3(5(3(1(0(3(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
->
1(5(4(5(4(1(5(5(3(5(3(1(3(0(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
, 4(5(5(0(0(4(0(3(4(0(3(2(4(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
->
4(5(5(0(0(4(0(3(4(0(3(4(2(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
, 4(2(4(0(4(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
->
4(2(4(4(0(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
, 1(1(3(5(0(4(1(2(5(4(3(5(4(4(0(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
->
1(1(3(5(0(4(1(2(5(4(3(5(4(0(4(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
, 2(4(4(3(4(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
->
2(4(4(4(3(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
, 2(1(2(4(0(4(4(0(3(1(5(2(0(3(2(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
->
2(1(2(4(0(4(4(0(3(1(5(2(0(2(3(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
, 5(5(5(5(1(5(2(5(2(5(1(1(4(1(2(0(3(1(5(4(5(0(x1))))))))))))))))))))))
->
5(5(5(5(1(5(2(2(5(5(1(1(1(4(2(3(0(1(5(5(0(4(x1))))))))))))))))))))))
, 2(3(4(0(5(1(1(0(5(3(1(0(4(2(5(3(4(0(3(5(1(1(x1))))))))))))))))))))))
->
2(3(0(4(1(5(0(1(3(5(1(0(4(3(5(0(4(2(5(3(1(1(x1))))))))))))))))))))))
, 4(4(1(1(5(2(2(2(2(3(0(0(0(4(2(2(2(5(2(2(4(x1)))))))))))))))))))))
->
4(4(1(1(5(2(2(2(2(3(0(0(0(2(4(2(2(5(2(2(4(x1)))))))))))))))))))))
, 1(4(3(3(4(2(0(4(3(3(5(0(1(4(1(3(0(2(5(0(2(x1)))))))))))))))))))))
->
1(4(2(4(3(3(0(4(3(3(5(0(4(3(1(1(0(5(2(2(0(x1)))))))))))))))))))))
, 1(1(5(0(4(0(1(5(5(5(0(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
->
1(1(5(0(4(0(1(5(5(0(5(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
, 0(3(1(2(4(1(5(5(4(0(0(3(5(0(4(2(0(1(3(4(0(x1)))))))))))))))))))))
->
0(3(1(2(4(1(5(5(4(0(0(3(5(4(0(2(0(1(3(4(0(x1)))))))))))))))))))))
, 3(2(3(3(4(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1)))))))))))))))))))) ->
3(2(3(4(3(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1))))))))))))))))))))
, 5(2(3(4(4(4(0(2(1(1(3(2(0(0(3(3(0(2(x1)))))))))))))))))) ->
5(2(3(4(4(4(0(2(1(1(2(3(0(0(3(3(0(2(x1))))))))))))))))))
, 0(3(3(5(3(4(0(3(1(1(0(3(1(0(2(3(4(0(x1)))))))))))))))))) ->
0(3(3(5(3(4(0(3(1(1(0(3(0(1(2(3(4(0(x1))))))))))))))))))
, 3(0(4(2(5(3(5(3(5(4(2(4(5(1(0(5(4(x1))))))))))))))))) ->
3(0(4(2(5(5(3(3(5(4(2(4(5(1(0(5(4(x1)))))))))))))))))
, 4(4(2(5(2(3(0(5(3(3(0(1(3(0(5(1(x1)))))))))))))))) ->
4(4(5(2(2(3(0(5(3(3(0(1(3(0(5(1(x1))))))))))))))))
, 3(2(5(3(1(0(0(5(4(1(3(1(2(3(2(1(x1)))))))))))))))) ->
3(2(5(1(3(0(5(0(4(1(3(1(2(3(2(1(x1))))))))))))))))
, 5(2(1(0(0(3(1(5(3(2(1(3(0(0(4(x1))))))))))))))) ->
5(2(1(0(0(3(1(5(2(3(3(0(1(0(4(x1)))))))))))))))
, 4(5(5(0(1(2(0(3(0(3(3(4(3(4(4(x1))))))))))))))) ->
4(5(5(0(1(2(0(3(3(0(4(3(3(4(4(x1)))))))))))))))
, 2(4(4(4(0(3(5(1(5(2(1(2(5(5(x1)))))))))))))) ->
2(4(4(0(4(3(5(1(5(2(1(2(5(5(x1))))))))))))))
, 4(4(4(1(1(1(4(1(5(4(4(4(4(x1))))))))))))) ->
3(0(3(5(4(0(4(1(5(0(x1))))))))))
, 4(4(4(0(3(3(5(0(5(1(0(5(0(x1))))))))))))) ->
4(4(4(0(3(3(0(5(5(1(0(5(0(x1)))))))))))))
, 2(3(2(2(5(0(4(3(3(2(0(1(4(x1))))))))))))) ->
2(3(2(2(5(0(4(3(2(3(0(1(4(x1)))))))))))))
, 1(0(4(1(0(4(3(4(0(0(4(2(0(x1))))))))))))) ->
1(0(4(1(0(4(3(0(4(0(4(2(0(x1)))))))))))))
, 4(2(3(2(3(2(2(0(5(3(3(4(x1)))))))))))) ->
5(2(0(0(0(3(1(5(3(0(x1))))))))))
, 3(1(0(0(2(0(5(5(4(0(3(4(x1)))))))))))) ->
1(5(4(4(3(0(0(3(3(5(x1))))))))))
, 2(4(5(4(3(2(1(4(0(2(4(0(x1)))))))))))) ->
3(3(5(0(1(0(4(3(0(3(x1))))))))))
, 1(4(5(5(0(4(5(1(5(5(2(1(x1)))))))))))) ->
3(1(3(0(3(4(4(1(0(1(x1))))))))))
, 0(5(4(2(4(5(2(1(4(3(4(4(x1)))))))))))) ->
3(4(2(0(1(3(5(3(2(3(x1))))))))))
, 0(5(2(1(0(5(0(4(4(0(3(4(x1)))))))))))) ->
1(1(0(5(1(1(3(3(2(3(x1))))))))))
, 0(0(2(4(5(5(2(3(4(1(0(2(x1)))))))))))) ->
5(1(5(0(3(2(5(1(4(3(x1))))))))))
, 5(4(5(4(3(4(5(5(5(1(1(x1))))))))))) ->
0(2(0(3(1(3(0(4(5(4(x1))))))))))
, 5(4(4(5(5(0(2(5(0(1(4(x1))))))))))) ->
0(5(1(5(5(4(0(2(3(2(x1))))))))))
, 5(4(2(3(2(1(5(0(4(0(1(x1))))))))))) ->
1(4(0(2(1(3(0(0(2(5(x1))))))))))
, 5(3(2(1(2(5(1(5(2(5(1(x1))))))))))) ->
1(0(3(1(5(4(1(5(2(5(x1))))))))))
, 5(2(5(5(3(0(5(5(5(2(4(x1))))))))))) ->
0(4(3(3(2(3(1(1(5(2(x1))))))))))
, 4(5(4(0(2(0(2(1(0(1(3(x1))))))))))) ->
5(3(2(1(0(1(4(4(0(0(x1))))))))))
, 4(5(4(0(0(5(5(0(2(5(2(x1))))))))))) ->
3(4(5(0(2(1(5(0(1(4(x1))))))))))
, 4(5(0(3(4(4(3(2(0(4(3(x1))))))))))) ->
1(0(1(1(5(2(3(5(3(2(x1))))))))))
, 4(4(1(3(3(1(1(2(4(5(3(x1))))))))))) ->
1(2(0(5(4(0(1(4(1(1(x1))))))))))
, 4(1(4(2(3(2(1(4(3(4(0(x1))))))))))) ->
1(1(2(5(5(1(4(0(5(3(x1))))))))))
, 4(0(4(1(2(5(0(2(3(3(2(x1))))))))))) ->
3(1(4(5(2(1(5(3(0(1(x1))))))))))
, 3(5(1(2(1(5(1(0(0(5(2(x1))))))))))) ->
0(5(3(0(3(2(0(0(2(0(x1))))))))))
, 3(4(3(1(2(3(2(5(2(2(0(x1))))))))))) ->
1(1(4(0(1(5(5(5(1(4(x1))))))))))
, 3(3(3(0(5(3(2(4(5(3(2(x1))))))))))) ->
0(3(4(2(4(1(3(4(0(3(x1))))))))))
, 3(2(1(3(2(4(4(0(5(3(4(x1))))))))))) ->
0(3(5(5(4(4(4(4(0(1(x1))))))))))
, 3(1(4(5(2(3(5(5(4(2(2(x1))))))))))) ->
3(4(5(0(0(0(3(2(3(0(x1))))))))))
, 3(1(2(1(0(2(3(3(4(3(0(x1))))))))))) ->
3(0(0(2(4(5(4(4(5(3(x1))))))))))
, 3(0(2(1(4(5(3(2(4(5(0(x1))))))))))) ->
4(0(5(1(1(5(1(2(2(3(x1))))))))))
, 2(5(2(4(3(5(2(4(2(3(1(x1))))))))))) ->
1(5(4(2(1(1(0(5(4(2(x1))))))))))
, 2(3(4(1(3(2(4(1(4(0(0(x1))))))))))) ->
5(2(2(2(2(1(4(4(2(0(x1))))))))))
, 2(2(1(0(5(0(0(3(0(5(2(x1))))))))))) ->
1(0(2(2(2(4(5(3(4(4(x1))))))))))
, 2(1(5(2(1(0(3(5(0(1(5(x1))))))))))) ->
3(0(4(3(0(2(5(2(3(3(x1))))))))))
, 1(4(5(5(2(2(5(3(5(4(5(x1))))))))))) ->
5(0(2(0(5(2(2(2(0(0(x1))))))))))
, 1(4(3(5(5(1(0(4(3(2(0(x1))))))))))) ->
3(2(4(3(2(4(0(3(5(4(x1))))))))))
, 1(3(2(2(0(3(3(5(5(3(1(x1))))))))))) ->
2(3(5(3(1(2(5(1(5(4(x1))))))))))
, 1(2(5(5(1(4(5(5(1(0(1(x1))))))))))) ->
0(3(5(5(2(3(0(4(2(5(x1))))))))))
, 1(0(5(1(4(5(3(5(4(4(5(x1))))))))))) ->
1(5(5(5(4(3(0(4(1(4(5(x1)))))))))))
, 1(0(2(5(1(5(1(3(4(0(0(x1))))))))))) ->
1(0(2(5(5(1(1(3(4(0(0(x1)))))))))))
, 1(0(0(4(1(1(5(5(4(4(0(x1))))))))))) ->
4(0(4(0(2(5(1(0(3(5(x1))))))))))
, 0(5(1(2(1(1(2(1(2(1(0(x1))))))))))) ->
1(2(1(2(1(3(0(4(4(3(x1))))))))))
, 0(2(3(3(0(4(2(4(3(0(1(x1))))))))))) ->
3(4(5(0(2(0(4(0(1(5(x1))))))))))
, 0(2(2(2(0(2(3(1(5(1(1(x1))))))))))) ->
1(5(0(3(4(4(4(3(1(3(x1))))))))))
, 0(1(4(1(2(1(4(5(0(2(1(x1))))))))))) ->
2(4(3(4(1(0(5(3(3(4(x1))))))))))
, 0(1(3(4(5(2(1(3(5(0(4(x1))))))))))) ->
1(4(4(5(1(0(3(5(3(5(x1))))))))))
, 0(1(0(5(3(5(1(2(1(2(1(x1))))))))))) ->
1(3(5(0(5(1(5(5(2(0(x1))))))))))
, 0(0(1(0(0(3(2(0(4(1(5(x1))))))))))) ->
3(5(2(3(3(4(3(5(5(1(x1))))))))))
, 0(0(0(5(4(2(3(3(3(1(0(x1))))))))))) ->
5(2(5(0(0(3(3(2(3(5(x1))))))))))
, 4(0(0(4(5(1(1(5(1(5(x1)))))))))) ->
4(2(5(0(2(4(3(4(4(4(x1))))))))))
, 3(0(1(2(1(2(5(0(0(1(x1)))))))))) ->
3(0(1(2(1(5(2(0(0(1(x1))))))))))
, 1(5(4(4(4(3(4(3(0(5(x1)))))))))) ->
2(5(1(2(4(2(4(0(2(5(x1))))))))))
, 1(3(4(2(0(4(5(0(1(3(x1)))))))))) ->
1(2(4(0(1(0(5(3(4(3(x1))))))))))
, 1(2(4(5(1(1(0(1(0(2(x1)))))))))) ->
2(2(4(1(0(1(2(1(5(2(x1))))))))))
, 1(2(4(5(1(0(3(1(4(4(x1)))))))))) ->
1(2(4(5(1(3(0(1(4(4(x1))))))))))
, 1(2(2(3(3(0(1(5(4(1(x1)))))))))) ->
1(0(2(4(3(1(2(4(2(3(x1))))))))))
, 1(1(4(5(1(0(0(5(2(1(x1)))))))))) ->
2(4(3(4(0(2(4(1(5(3(x1))))))))))
, 1(0(2(5(1(4(2(5(1(0(x1)))))))))) ->
2(4(2(1(0(3(2(2(5(4(x1))))))))))
, 0(4(4(3(3(0(0(0(3(5(x1)))))))))) ->
0(4(3(4(3(0(0(0(3(5(x1))))))))))
, 0(3(1(1(1(0(3(4(1(3(x1)))))))))) ->
2(2(2(2(5(2(4(4(0(2(x1))))))))))
, 1(3(4(5(3(4(5(1(1(x1))))))))) -> 1(5(3(4(4(1(5(3(1(x1)))))))))
, 0(1(2(2(0(3(4(5(1(x1))))))))) -> 0(1(2(2(3(0(4(5(1(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(1(5(4(3(3(4(3(2(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
->
5(1(5(4(3(3(4(2(3(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
, 3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(5(0(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
->
3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(0(5(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
, 2(4(2(5(4(0(0(1(0(3(4(4(4(5(2(5(4(3(3(2(4(3(4(4(5(4(4(3(4(4(x1))))))))))))))))))))))))))))))
->
2(4(5(4(0(2(3(0(0(4(1(2(4(4(5(5(4(4(3(3(2(3(5(4(4(4(4(3(4(4(x1))))))))))))))))))))))))))))))
, 1(2(3(2(0(2(5(3(0(1(1(4(2(0(1(2(1(0(2(0(0(2(4(0(2(4(1(4(5(4(x1))))))))))))))))))))))))))))))
->
1(2(3(2(0(2(1(5(3(0(1(2(0(4(1(2(1(0(2(0(4(2(0(0(2(4(4(1(5(4(x1))))))))))))))))))))))))))))))
, 4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(1(3(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
->
4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(3(1(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
, 5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(5(1(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
->
5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(1(5(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
, 4(1(0(2(2(2(2(1(0(1(4(1(1(4(3(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
->
4(1(0(2(2(2(2(1(0(1(4(1(1(3(4(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
, 5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(1(3(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
->
5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(3(1(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
, 4(5(1(1(3(3(4(0(0(3(2(5(2(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
->
4(5(1(1(3(3(4(0(0(3(2(2(5(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
, 4(3(4(5(4(3(2(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
->
4(3(4(4(5(2(3(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
, 2(5(4(0(1(1(0(2(1(0(2(1(3(1(4(2(2(4(2(5(4(3(4(3(3(2(x1))))))))))))))))))))))))))
->
2(0(5(4(1(1(2(0(0(1(2(1(1(2(3(4(4(2(2(5(4(4(3(3(3(2(x1))))))))))))))))))))))))))
, 1(5(4(5(4(1(5(5(3(5(3(1(0(3(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
->
1(5(4(5(4(1(5(5(3(5(3(1(3(0(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
, 4(5(5(0(0(4(0(3(4(0(3(2(4(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
->
4(5(5(0(0(4(0(3(4(0(3(4(2(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
, 4(2(4(0(4(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
->
4(2(4(4(0(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
, 1(1(3(5(0(4(1(2(5(4(3(5(4(4(0(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
->
1(1(3(5(0(4(1(2(5(4(3(5(4(0(4(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
, 2(4(4(3(4(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
->
2(4(4(4(3(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
, 2(1(2(4(0(4(4(0(3(1(5(2(0(3(2(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
->
2(1(2(4(0(4(4(0(3(1(5(2(0(2(3(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
, 5(5(5(5(1(5(2(5(2(5(1(1(4(1(2(0(3(1(5(4(5(0(x1))))))))))))))))))))))
->
5(5(5(5(1(5(2(2(5(5(1(1(1(4(2(3(0(1(5(5(0(4(x1))))))))))))))))))))))
, 2(3(4(0(5(1(1(0(5(3(1(0(4(2(5(3(4(0(3(5(1(1(x1))))))))))))))))))))))
->
2(3(0(4(1(5(0(1(3(5(1(0(4(3(5(0(4(2(5(3(1(1(x1))))))))))))))))))))))
, 4(4(1(1(5(2(2(2(2(3(0(0(0(4(2(2(2(5(2(2(4(x1)))))))))))))))))))))
->
4(4(1(1(5(2(2(2(2(3(0(0(0(2(4(2(2(5(2(2(4(x1)))))))))))))))))))))
, 1(4(3(3(4(2(0(4(3(3(5(0(1(4(1(3(0(2(5(0(2(x1)))))))))))))))))))))
->
1(4(2(4(3(3(0(4(3(3(5(0(4(3(1(1(0(5(2(2(0(x1)))))))))))))))))))))
, 1(1(5(0(4(0(1(5(5(5(0(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
->
1(1(5(0(4(0(1(5(5(0(5(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
, 0(3(1(2(4(1(5(5(4(0(0(3(5(0(4(2(0(1(3(4(0(x1)))))))))))))))))))))
->
0(3(1(2(4(1(5(5(4(0(0(3(5(4(0(2(0(1(3(4(0(x1)))))))))))))))))))))
, 3(2(3(3(4(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1)))))))))))))))))))) ->
3(2(3(4(3(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1))))))))))))))))))))
, 5(2(3(4(4(4(0(2(1(1(3(2(0(0(3(3(0(2(x1)))))))))))))))))) ->
5(2(3(4(4(4(0(2(1(1(2(3(0(0(3(3(0(2(x1))))))))))))))))))
, 0(3(3(5(3(4(0(3(1(1(0(3(1(0(2(3(4(0(x1)))))))))))))))))) ->
0(3(3(5(3(4(0(3(1(1(0(3(0(1(2(3(4(0(x1))))))))))))))))))
, 3(0(4(2(5(3(5(3(5(4(2(4(5(1(0(5(4(x1))))))))))))))))) ->
3(0(4(2(5(5(3(3(5(4(2(4(5(1(0(5(4(x1)))))))))))))))))
, 4(4(2(5(2(3(0(5(3(3(0(1(3(0(5(1(x1)))))))))))))))) ->
4(4(5(2(2(3(0(5(3(3(0(1(3(0(5(1(x1))))))))))))))))
, 3(2(5(3(1(0(0(5(4(1(3(1(2(3(2(1(x1)))))))))))))))) ->
3(2(5(1(3(0(5(0(4(1(3(1(2(3(2(1(x1))))))))))))))))
, 5(2(1(0(0(3(1(5(3(2(1(3(0(0(4(x1))))))))))))))) ->
5(2(1(0(0(3(1(5(2(3(3(0(1(0(4(x1)))))))))))))))
, 4(5(5(0(1(2(0(3(0(3(3(4(3(4(4(x1))))))))))))))) ->
4(5(5(0(1(2(0(3(3(0(4(3(3(4(4(x1)))))))))))))))
, 2(4(4(4(0(3(5(1(5(2(1(2(5(5(x1)))))))))))))) ->
2(4(4(0(4(3(5(1(5(2(1(2(5(5(x1))))))))))))))
, 4(4(4(1(1(1(4(1(5(4(4(4(4(x1))))))))))))) ->
3(0(3(5(4(0(4(1(5(0(x1))))))))))
, 4(4(4(0(3(3(5(0(5(1(0(5(0(x1))))))))))))) ->
4(4(4(0(3(3(0(5(5(1(0(5(0(x1)))))))))))))
, 2(3(2(2(5(0(4(3(3(2(0(1(4(x1))))))))))))) ->
2(3(2(2(5(0(4(3(2(3(0(1(4(x1)))))))))))))
, 1(0(4(1(0(4(3(4(0(0(4(2(0(x1))))))))))))) ->
1(0(4(1(0(4(3(0(4(0(4(2(0(x1)))))))))))))
, 4(2(3(2(3(2(2(0(5(3(3(4(x1)))))))))))) ->
5(2(0(0(0(3(1(5(3(0(x1))))))))))
, 3(1(0(0(2(0(5(5(4(0(3(4(x1)))))))))))) ->
1(5(4(4(3(0(0(3(3(5(x1))))))))))
, 2(4(5(4(3(2(1(4(0(2(4(0(x1)))))))))))) ->
3(3(5(0(1(0(4(3(0(3(x1))))))))))
, 1(4(5(5(0(4(5(1(5(5(2(1(x1)))))))))))) ->
3(1(3(0(3(4(4(1(0(1(x1))))))))))
, 0(5(4(2(4(5(2(1(4(3(4(4(x1)))))))))))) ->
3(4(2(0(1(3(5(3(2(3(x1))))))))))
, 0(5(2(1(0(5(0(4(4(0(3(4(x1)))))))))))) ->
1(1(0(5(1(1(3(3(2(3(x1))))))))))
, 0(0(2(4(5(5(2(3(4(1(0(2(x1)))))))))))) ->
5(1(5(0(3(2(5(1(4(3(x1))))))))))
, 5(4(5(4(3(4(5(5(5(1(1(x1))))))))))) ->
0(2(0(3(1(3(0(4(5(4(x1))))))))))
, 5(4(4(5(5(0(2(5(0(1(4(x1))))))))))) ->
0(5(1(5(5(4(0(2(3(2(x1))))))))))
, 5(4(2(3(2(1(5(0(4(0(1(x1))))))))))) ->
1(4(0(2(1(3(0(0(2(5(x1))))))))))
, 5(3(2(1(2(5(1(5(2(5(1(x1))))))))))) ->
1(0(3(1(5(4(1(5(2(5(x1))))))))))
, 5(2(5(5(3(0(5(5(5(2(4(x1))))))))))) ->
0(4(3(3(2(3(1(1(5(2(x1))))))))))
, 4(5(4(0(2(0(2(1(0(1(3(x1))))))))))) ->
5(3(2(1(0(1(4(4(0(0(x1))))))))))
, 4(5(4(0(0(5(5(0(2(5(2(x1))))))))))) ->
3(4(5(0(2(1(5(0(1(4(x1))))))))))
, 4(5(0(3(4(4(3(2(0(4(3(x1))))))))))) ->
1(0(1(1(5(2(3(5(3(2(x1))))))))))
, 4(4(1(3(3(1(1(2(4(5(3(x1))))))))))) ->
1(2(0(5(4(0(1(4(1(1(x1))))))))))
, 4(1(4(2(3(2(1(4(3(4(0(x1))))))))))) ->
1(1(2(5(5(1(4(0(5(3(x1))))))))))
, 4(0(4(1(2(5(0(2(3(3(2(x1))))))))))) ->
3(1(4(5(2(1(5(3(0(1(x1))))))))))
, 3(5(1(2(1(5(1(0(0(5(2(x1))))))))))) ->
0(5(3(0(3(2(0(0(2(0(x1))))))))))
, 3(4(3(1(2(3(2(5(2(2(0(x1))))))))))) ->
1(1(4(0(1(5(5(5(1(4(x1))))))))))
, 3(3(3(0(5(3(2(4(5(3(2(x1))))))))))) ->
0(3(4(2(4(1(3(4(0(3(x1))))))))))
, 3(2(1(3(2(4(4(0(5(3(4(x1))))))))))) ->
0(3(5(5(4(4(4(4(0(1(x1))))))))))
, 3(1(4(5(2(3(5(5(4(2(2(x1))))))))))) ->
3(4(5(0(0(0(3(2(3(0(x1))))))))))
, 3(1(2(1(0(2(3(3(4(3(0(x1))))))))))) ->
3(0(0(2(4(5(4(4(5(3(x1))))))))))
, 3(0(2(1(4(5(3(2(4(5(0(x1))))))))))) ->
4(0(5(1(1(5(1(2(2(3(x1))))))))))
, 2(5(2(4(3(5(2(4(2(3(1(x1))))))))))) ->
1(5(4(2(1(1(0(5(4(2(x1))))))))))
, 2(3(4(1(3(2(4(1(4(0(0(x1))))))))))) ->
5(2(2(2(2(1(4(4(2(0(x1))))))))))
, 2(2(1(0(5(0(0(3(0(5(2(x1))))))))))) ->
1(0(2(2(2(4(5(3(4(4(x1))))))))))
, 2(1(5(2(1(0(3(5(0(1(5(x1))))))))))) ->
3(0(4(3(0(2(5(2(3(3(x1))))))))))
, 1(4(5(5(2(2(5(3(5(4(5(x1))))))))))) ->
5(0(2(0(5(2(2(2(0(0(x1))))))))))
, 1(4(3(5(5(1(0(4(3(2(0(x1))))))))))) ->
3(2(4(3(2(4(0(3(5(4(x1))))))))))
, 1(3(2(2(0(3(3(5(5(3(1(x1))))))))))) ->
2(3(5(3(1(2(5(1(5(4(x1))))))))))
, 1(2(5(5(1(4(5(5(1(0(1(x1))))))))))) ->
0(3(5(5(2(3(0(4(2(5(x1))))))))))
, 1(0(5(1(4(5(3(5(4(4(5(x1))))))))))) ->
1(5(5(5(4(3(0(4(1(4(5(x1)))))))))))
, 1(0(2(5(1(5(1(3(4(0(0(x1))))))))))) ->
1(0(2(5(5(1(1(3(4(0(0(x1)))))))))))
, 1(0(0(4(1(1(5(5(4(4(0(x1))))))))))) ->
4(0(4(0(2(5(1(0(3(5(x1))))))))))
, 0(5(1(2(1(1(2(1(2(1(0(x1))))))))))) ->
1(2(1(2(1(3(0(4(4(3(x1))))))))))
, 0(2(3(3(0(4(2(4(3(0(1(x1))))))))))) ->
3(4(5(0(2(0(4(0(1(5(x1))))))))))
, 0(2(2(2(0(2(3(1(5(1(1(x1))))))))))) ->
1(5(0(3(4(4(4(3(1(3(x1))))))))))
, 0(1(4(1(2(1(4(5(0(2(1(x1))))))))))) ->
2(4(3(4(1(0(5(3(3(4(x1))))))))))
, 0(1(3(4(5(2(1(3(5(0(4(x1))))))))))) ->
1(4(4(5(1(0(3(5(3(5(x1))))))))))
, 0(1(0(5(3(5(1(2(1(2(1(x1))))))))))) ->
1(3(5(0(5(1(5(5(2(0(x1))))))))))
, 0(0(1(0(0(3(2(0(4(1(5(x1))))))))))) ->
3(5(2(3(3(4(3(5(5(1(x1))))))))))
, 0(0(0(5(4(2(3(3(3(1(0(x1))))))))))) ->
5(2(5(0(0(3(3(2(3(5(x1))))))))))
, 4(0(0(4(5(1(1(5(1(5(x1)))))))))) ->
4(2(5(0(2(4(3(4(4(4(x1))))))))))
, 3(0(1(2(1(2(5(0(0(1(x1)))))))))) ->
3(0(1(2(1(5(2(0(0(1(x1))))))))))
, 1(5(4(4(4(3(4(3(0(5(x1)))))))))) ->
2(5(1(2(4(2(4(0(2(5(x1))))))))))
, 1(3(4(2(0(4(5(0(1(3(x1)))))))))) ->
1(2(4(0(1(0(5(3(4(3(x1))))))))))
, 1(2(4(5(1(1(0(1(0(2(x1)))))))))) ->
2(2(4(1(0(1(2(1(5(2(x1))))))))))
, 1(2(4(5(1(0(3(1(4(4(x1)))))))))) ->
1(2(4(5(1(3(0(1(4(4(x1))))))))))
, 1(2(2(3(3(0(1(5(4(1(x1)))))))))) ->
1(0(2(4(3(1(2(4(2(3(x1))))))))))
, 1(1(4(5(1(0(0(5(2(1(x1)))))))))) ->
2(4(3(4(0(2(4(1(5(3(x1))))))))))
, 1(0(2(5(1(4(2(5(1(0(x1)))))))))) ->
2(4(2(1(0(3(2(2(5(4(x1))))))))))
, 0(4(4(3(3(0(0(0(3(5(x1)))))))))) ->
0(4(3(4(3(0(0(0(3(5(x1))))))))))
, 0(3(1(1(1(0(3(4(1(3(x1)))))))))) ->
2(2(2(2(5(2(4(4(0(2(x1))))))))))
, 1(3(4(5(3(4(5(1(1(x1))))))))) -> 1(5(3(4(4(1(5(3(1(x1)))))))))
, 0(1(2(2(0(3(4(5(1(x1))))))))) -> 0(1(2(2(3(0(4(5(1(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(1(5(4(3(3(4(3(2(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
->
5(1(5(4(3(3(4(2(3(5(3(2(3(1(0(2(0(1(5(5(0(3(0(0(1(0(5(5(2(2(x1))))))))))))))))))))))))))))))
, 3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(5(0(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
->
3(4(1(1(1(1(3(2(1(1(5(2(0(3(1(4(4(0(1(0(1(0(5(5(1(5(2(5(0(4(x1))))))))))))))))))))))))))))))
, 2(4(2(5(4(0(0(1(0(3(4(4(4(5(2(5(4(3(3(2(4(3(4(4(5(4(4(3(4(4(x1))))))))))))))))))))))))))))))
->
2(4(5(4(0(2(3(0(0(4(1(2(4(4(5(5(4(4(3(3(2(3(5(4(4(4(4(3(4(4(x1))))))))))))))))))))))))))))))
, 1(2(3(2(0(2(5(3(0(1(1(4(2(0(1(2(1(0(2(0(0(2(4(0(2(4(1(4(5(4(x1))))))))))))))))))))))))))))))
->
1(2(3(2(0(2(1(5(3(0(1(2(0(4(1(2(1(0(2(0(4(2(0(0(2(4(4(1(5(4(x1))))))))))))))))))))))))))))))
, 4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(1(3(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
->
4(4(0(2(4(0(1(2(5(3(4(2(4(2(2(3(1(0(5(3(0(5(0(4(0(4(2(1(5(x1)))))))))))))))))))))))))))))
, 5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(5(1(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
->
5(0(2(3(0(3(1(1(2(4(2(3(3(1(2(0(0(0(1(5(5(0(1(2(1(2(3(1(x1))))))))))))))))))))))))))))
, 4(1(0(2(2(2(2(1(0(1(4(1(1(4(3(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
->
4(1(0(2(2(2(2(1(0(1(4(1(1(3(4(4(5(0(4(3(2(3(2(1(3(0(2(2(x1))))))))))))))))))))))))))))
, 5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(1(3(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
->
5(3(4(5(0(5(2(0(4(4(5(3(5(5(2(2(2(4(5(3(1(4(5(0(3(5(3(x1)))))))))))))))))))))))))))
, 4(5(1(1(3(3(4(0(0(3(2(5(2(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
->
4(5(1(1(3(3(4(0(0(3(2(2(5(5(4(1(3(1(4(2(3(3(3(1(0(2(x1))))))))))))))))))))))))))
, 4(3(4(5(4(3(2(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
->
4(3(4(4(5(2(3(1(0(5(4(5(0(1(5(3(3(4(3(3(2(2(0(5(5(3(x1))))))))))))))))))))))))))
, 2(5(4(0(1(1(0(2(1(0(2(1(3(1(4(2(2(4(2(5(4(3(4(3(3(2(x1))))))))))))))))))))))))))
->
2(0(5(4(1(1(2(0(0(1(2(1(1(2(3(4(4(2(2(5(4(4(3(3(3(2(x1))))))))))))))))))))))))))
, 1(5(4(5(4(1(5(5(3(5(3(1(0(3(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
->
1(5(4(5(4(1(5(5(3(5(3(1(3(0(3(0(3(5(0(3(4(3(1(0(2(1(x1))))))))))))))))))))))))))
, 4(5(5(0(0(4(0(3(4(0(3(2(4(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
->
4(5(5(0(0(4(0(3(4(0(3(4(2(4(0(0(2(0(2(5(4(2(2(0(3(x1)))))))))))))))))))))))))
, 4(2(4(0(4(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
->
4(2(4(4(0(5(3(3(4(1(0(1(4(2(0(0(0(4(5(3(4(3(0(0(2(x1)))))))))))))))))))))))))
, 1(1(3(5(0(4(1(2(5(4(3(5(4(4(0(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
->
1(1(3(5(0(4(1(2(5(4(3(5(4(0(4(3(0(0(2(3(1(3(3(3(4(x1)))))))))))))))))))))))))
, 2(4(4(3(4(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
->
2(4(4(4(3(5(2(5(4(4(5(3(5(3(3(3(0(5(2(3(2(5(1(2(x1))))))))))))))))))))))))
, 2(1(2(4(0(4(4(0(3(1(5(2(0(3(2(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
->
2(1(2(4(0(4(4(0(3(1(5(2(0(2(3(0(0(0(3(0(0(1(0(x1)))))))))))))))))))))))
, 5(5(5(5(1(5(2(5(2(5(1(1(4(1(2(0(3(1(5(4(5(0(x1))))))))))))))))))))))
->
5(5(5(5(1(5(2(2(5(5(1(1(1(4(2(3(0(1(5(5(0(4(x1))))))))))))))))))))))
, 2(3(4(0(5(1(1(0(5(3(1(0(4(2(5(3(4(0(3(5(1(1(x1))))))))))))))))))))))
->
2(3(0(4(1(5(0(1(3(5(1(0(4(3(5(0(4(2(5(3(1(1(x1))))))))))))))))))))))
, 4(4(1(1(5(2(2(2(2(3(0(0(0(4(2(2(2(5(2(2(4(x1)))))))))))))))))))))
->
4(4(1(1(5(2(2(2(2(3(0(0(0(2(4(2(2(5(2(2(4(x1)))))))))))))))))))))
, 1(4(3(3(4(2(0(4(3(3(5(0(1(4(1(3(0(2(5(0(2(x1)))))))))))))))))))))
->
1(4(2(4(3(3(0(4(3(3(5(0(4(3(1(1(0(5(2(2(0(x1)))))))))))))))))))))
, 1(1(5(0(4(0(1(5(5(5(0(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
->
1(1(5(0(4(0(1(5(5(0(5(5(2(2(5(0(4(1(3(2(1(x1)))))))))))))))))))))
, 0(3(1(2(4(1(5(5(4(0(0(3(5(0(4(2(0(1(3(4(0(x1)))))))))))))))))))))
->
0(3(1(2(4(1(5(5(4(0(0(3(5(4(0(2(0(1(3(4(0(x1)))))))))))))))))))))
, 3(2(3(3(4(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1)))))))))))))))))))) ->
3(2(3(4(3(5(5(0(4(3(1(4(1(3(1(4(2(5(3(1(x1))))))))))))))))))))
, 5(2(3(4(4(4(0(2(1(1(3(2(0(0(3(3(0(2(x1)))))))))))))))))) ->
5(2(3(4(4(4(0(2(1(1(2(3(0(0(3(3(0(2(x1))))))))))))))))))
, 0(3(3(5(3(4(0(3(1(1(0(3(1(0(2(3(4(0(x1)))))))))))))))))) ->
0(3(3(5(3(4(0(3(1(1(0(3(0(1(2(3(4(0(x1))))))))))))))))))
, 3(0(4(2(5(3(5(3(5(4(2(4(5(1(0(5(4(x1))))))))))))))))) ->
3(0(4(2(5(5(3(3(5(4(2(4(5(1(0(5(4(x1)))))))))))))))))
, 4(4(2(5(2(3(0(5(3(3(0(1(3(0(5(1(x1)))))))))))))))) ->
4(4(5(2(2(3(0(5(3(3(0(1(3(0(5(1(x1))))))))))))))))
, 3(2(5(3(1(0(0(5(4(1(3(1(2(3(2(1(x1)))))))))))))))) ->
3(2(5(1(3(0(5(0(4(1(3(1(2(3(2(1(x1))))))))))))))))
, 5(2(1(0(0(3(1(5(3(2(1(3(0(0(4(x1))))))))))))))) ->
5(2(1(0(0(3(1(5(2(3(3(0(1(0(4(x1)))))))))))))))
, 4(5(5(0(1(2(0(3(0(3(3(4(3(4(4(x1))))))))))))))) ->
4(5(5(0(1(2(0(3(3(0(4(3(3(4(4(x1)))))))))))))))
, 2(4(4(4(0(3(5(1(5(2(1(2(5(5(x1)))))))))))))) ->
2(4(4(0(4(3(5(1(5(2(1(2(5(5(x1))))))))))))))
, 4(4(4(1(1(1(4(1(5(4(4(4(4(x1))))))))))))) ->
3(0(3(5(4(0(4(1(5(0(x1))))))))))
, 4(4(4(0(3(3(5(0(5(1(0(5(0(x1))))))))))))) ->
4(4(4(0(3(3(0(5(5(1(0(5(0(x1)))))))))))))
, 2(3(2(2(5(0(4(3(3(2(0(1(4(x1))))))))))))) ->
2(3(2(2(5(0(4(3(2(3(0(1(4(x1)))))))))))))
, 1(0(4(1(0(4(3(4(0(0(4(2(0(x1))))))))))))) ->
1(0(4(1(0(4(3(0(4(0(4(2(0(x1)))))))))))))
, 4(2(3(2(3(2(2(0(5(3(3(4(x1)))))))))))) ->
5(2(0(0(0(3(1(5(3(0(x1))))))))))
, 3(1(0(0(2(0(5(5(4(0(3(4(x1)))))))))))) ->
1(5(4(4(3(0(0(3(3(5(x1))))))))))
, 2(4(5(4(3(2(1(4(0(2(4(0(x1)))))))))))) ->
3(3(5(0(1(0(4(3(0(3(x1))))))))))
, 1(4(5(5(0(4(5(1(5(5(2(1(x1)))))))))))) ->
3(1(3(0(3(4(4(1(0(1(x1))))))))))
, 0(5(4(2(4(5(2(1(4(3(4(4(x1)))))))))))) ->
3(4(2(0(1(3(5(3(2(3(x1))))))))))
, 0(5(2(1(0(5(0(4(4(0(3(4(x1)))))))))))) ->
1(1(0(5(1(1(3(3(2(3(x1))))))))))
, 0(0(2(4(5(5(2(3(4(1(0(2(x1)))))))))))) ->
5(1(5(0(3(2(5(1(4(3(x1))))))))))
, 5(4(5(4(3(4(5(5(5(1(1(x1))))))))))) ->
0(2(0(3(1(3(0(4(5(4(x1))))))))))
, 5(4(4(5(5(0(2(5(0(1(4(x1))))))))))) ->
0(5(1(5(5(4(0(2(3(2(x1))))))))))
, 5(4(2(3(2(1(5(0(4(0(1(x1))))))))))) ->
1(4(0(2(1(3(0(0(2(5(x1))))))))))
, 5(3(2(1(2(5(1(5(2(5(1(x1))))))))))) ->
1(0(3(1(5(4(1(5(2(5(x1))))))))))
, 5(2(5(5(3(0(5(5(5(2(4(x1))))))))))) ->
0(4(3(3(2(3(1(1(5(2(x1))))))))))
, 4(5(4(0(2(0(2(1(0(1(3(x1))))))))))) ->
5(3(2(1(0(1(4(4(0(0(x1))))))))))
, 4(5(4(0(0(5(5(0(2(5(2(x1))))))))))) ->
3(4(5(0(2(1(5(0(1(4(x1))))))))))
, 4(5(0(3(4(4(3(2(0(4(3(x1))))))))))) ->
1(0(1(1(5(2(3(5(3(2(x1))))))))))
, 4(4(1(3(3(1(1(2(4(5(3(x1))))))))))) ->
1(2(0(5(4(0(1(4(1(1(x1))))))))))
, 4(1(4(2(3(2(1(4(3(4(0(x1))))))))))) ->
1(1(2(5(5(1(4(0(5(3(x1))))))))))
, 4(0(4(1(2(5(0(2(3(3(2(x1))))))))))) ->
3(1(4(5(2(1(5(3(0(1(x1))))))))))
, 3(5(1(2(1(5(1(0(0(5(2(x1))))))))))) ->
0(5(3(0(3(2(0(0(2(0(x1))))))))))
, 3(4(3(1(2(3(2(5(2(2(0(x1))))))))))) ->
1(1(4(0(1(5(5(5(1(4(x1))))))))))
, 3(3(3(0(5(3(2(4(5(3(2(x1))))))))))) ->
0(3(4(2(4(1(3(4(0(3(x1))))))))))
, 3(2(1(3(2(4(4(0(5(3(4(x1))))))))))) ->
0(3(5(5(4(4(4(4(0(1(x1))))))))))
, 3(1(4(5(2(3(5(5(4(2(2(x1))))))))))) ->
3(4(5(0(0(0(3(2(3(0(x1))))))))))
, 3(1(2(1(0(2(3(3(4(3(0(x1))))))))))) ->
3(0(0(2(4(5(4(4(5(3(x1))))))))))
, 3(0(2(1(4(5(3(2(4(5(0(x1))))))))))) ->
4(0(5(1(1(5(1(2(2(3(x1))))))))))
, 2(5(2(4(3(5(2(4(2(3(1(x1))))))))))) ->
1(5(4(2(1(1(0(5(4(2(x1))))))))))
, 2(3(4(1(3(2(4(1(4(0(0(x1))))))))))) ->
5(2(2(2(2(1(4(4(2(0(x1))))))))))
, 2(2(1(0(5(0(0(3(0(5(2(x1))))))))))) ->
1(0(2(2(2(4(5(3(4(4(x1))))))))))
, 2(1(5(2(1(0(3(5(0(1(5(x1))))))))))) ->
3(0(4(3(0(2(5(2(3(3(x1))))))))))
, 1(4(5(5(2(2(5(3(5(4(5(x1))))))))))) ->
5(0(2(0(5(2(2(2(0(0(x1))))))))))
, 1(4(3(5(5(1(0(4(3(2(0(x1))))))))))) ->
3(2(4(3(2(4(0(3(5(4(x1))))))))))
, 1(3(2(2(0(3(3(5(5(3(1(x1))))))))))) ->
2(3(5(3(1(2(5(1(5(4(x1))))))))))
, 1(2(5(5(1(4(5(5(1(0(1(x1))))))))))) ->
0(3(5(5(2(3(0(4(2(5(x1))))))))))
, 1(0(5(1(4(5(3(5(4(4(5(x1))))))))))) ->
1(5(5(5(4(3(0(4(1(4(5(x1)))))))))))
, 1(0(2(5(1(5(1(3(4(0(0(x1))))))))))) ->
1(0(2(5(5(1(1(3(4(0(0(x1)))))))))))
, 1(0(0(4(1(1(5(5(4(4(0(x1))))))))))) ->
4(0(4(0(2(5(1(0(3(5(x1))))))))))
, 0(5(1(2(1(1(2(1(2(1(0(x1))))))))))) ->
1(2(1(2(1(3(0(4(4(3(x1))))))))))
, 0(2(3(3(0(4(2(4(3(0(1(x1))))))))))) ->
3(4(5(0(2(0(4(0(1(5(x1))))))))))
, 0(2(2(2(0(2(3(1(5(1(1(x1))))))))))) ->
1(5(0(3(4(4(4(3(1(3(x1))))))))))
, 0(1(4(1(2(1(4(5(0(2(1(x1))))))))))) ->
2(4(3(4(1(0(5(3(3(4(x1))))))))))
, 0(1(3(4(5(2(1(3(5(0(4(x1))))))))))) ->
1(4(4(5(1(0(3(5(3(5(x1))))))))))
, 0(1(0(5(3(5(1(2(1(2(1(x1))))))))))) ->
1(3(5(0(5(1(5(5(2(0(x1))))))))))
, 0(0(1(0(0(3(2(0(4(1(5(x1))))))))))) ->
3(5(2(3(3(4(3(5(5(1(x1))))))))))
, 0(0(0(5(4(2(3(3(3(1(0(x1))))))))))) ->
5(2(5(0(0(3(3(2(3(5(x1))))))))))
, 4(0(0(4(5(1(1(5(1(5(x1)))))))))) ->
4(2(5(0(2(4(3(4(4(4(x1))))))))))
, 3(0(1(2(1(2(5(0(0(1(x1)))))))))) ->
3(0(1(2(1(5(2(0(0(1(x1))))))))))
, 1(5(4(4(4(3(4(3(0(5(x1)))))))))) ->
2(5(1(2(4(2(4(0(2(5(x1))))))))))
, 1(3(4(2(0(4(5(0(1(3(x1)))))))))) ->
1(2(4(0(1(0(5(3(4(3(x1))))))))))
, 1(2(4(5(1(1(0(1(0(2(x1)))))))))) ->
2(2(4(1(0(1(2(1(5(2(x1))))))))))
, 1(2(4(5(1(0(3(1(4(4(x1)))))))))) ->
1(2(4(5(1(3(0(1(4(4(x1))))))))))
, 1(2(2(3(3(0(1(5(4(1(x1)))))))))) ->
1(0(2(4(3(1(2(4(2(3(x1))))))))))
, 1(1(4(5(1(0(0(5(2(1(x1)))))))))) ->
2(4(3(4(0(2(4(1(5(3(x1))))))))))
, 1(0(2(5(1(4(2(5(1(0(x1)))))))))) ->
2(4(2(1(0(3(2(2(5(4(x1))))))))))
, 0(4(4(3(3(0(0(0(3(5(x1)))))))))) ->
0(4(3(4(3(0(0(0(3(5(x1))))))))))
, 0(3(1(1(1(0(3(4(1(3(x1)))))))))) ->
2(2(2(2(5(2(4(4(0(2(x1))))))))))
, 1(3(4(5(3(4(5(1(1(x1))))))))) -> 1(5(3(4(4(1(5(3(1(x1)))))))))
, 0(1(2(2(0(3(4(5(1(x1))))))))) -> 0(1(2(2(3(0(4(5(1(x1)))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..