Tool Bounds
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(5(0(1(0(0(3(2(2(4(x1)))))))))) ->
0(0(2(0(5(2(5(4(1(1(3(x1)))))))))))
, 4(5(0(4(0(0(5(2(0(3(x1)))))))))) ->
5(1(5(4(0(0(2(3(0(4(0(x1)))))))))))
, 4(4(2(5(0(5(5(0(0(3(x1)))))))))) ->
0(2(5(4(3(1(4(0(5(5(0(x1)))))))))))
, 4(2(0(3(1(1(5(0(3(1(x1)))))))))) ->
1(3(0(1(5(0(2(3(1(1(4(x1)))))))))))
, 2(4(2(0(1(0(3(4(4(3(x1)))))))))) ->
2(1(0(0(1(4(3(2(4(4(3(x1)))))))))))
, 2(4(0(1(5(3(0(0(3(3(x1)))))))))) ->
3(0(3(0(5(4(0(2(1(1(3(x1)))))))))))
, 2(0(1(2(5(0(3(2(1(1(x1)))))))))) ->
2(5(4(1(1(1(3(0(2(0(2(x1)))))))))))
, 1(5(2(0(3(4(2(2(5(5(x1)))))))))) ->
1(5(2(5(0(2(2(5(1(4(3(x1)))))))))))
, 1(4(5(1(4(2(5(1(3(1(x1)))))))))) ->
5(5(1(4(3(1(4(1(1(2(1(x1)))))))))))
, 1(0(3(2(5(2(5(4(1(2(x1)))))))))) ->
1(5(2(0(2(1(4(5(0(2(3(x1)))))))))))
, 0(4(3(3(4(0(3(2(5(4(x1)))))))))) ->
0(1(4(4(3(2(3(3(4(5(0(x1)))))))))))
, 0(3(5(4(1(4(3(5(3(4(x1)))))))))) ->
0(5(4(3(3(1(5(4(4(3(1(x1)))))))))))
, 0(3(4(2(3(2(2(3(2(4(x1)))))))))) ->
4(3(2(2(3(0(2(1(3(2(4(x1)))))))))))
, 0(1(3(4(2(5(0(3(5(1(x1)))))))))) ->
5(2(3(1(4(3(0(5(0(0(1(x1)))))))))))
, 5(1(2(2(0(3(5(1(2(x1))))))))) ->
1(0(2(1(3(2(5(5(2(1(1(x1)))))))))))
, 4(2(1(5(3(0(1(2(2(x1))))))))) -> 2(5(0(2(1(4(3(2(1(1(x1))))))))))
, 3(0(1(3(5(1(4(5(4(x1))))))))) -> 1(1(0(4(5(5(1(3(3(4(x1))))))))))
, 3(0(0(1(2(0(3(2(5(x1))))))))) -> 0(2(2(0(5(1(0(1(3(3(x1))))))))))
, 2(1(4(0(3(2(4(1(5(x1))))))))) -> 2(1(1(3(0(2(5(4(0(4(x1))))))))))
, 1(4(2(4(0(0(0(3(4(x1))))))))) -> 4(0(2(1(4(3(0(0(4(1(x1))))))))))
, 0(4(0(3(2(5(0(5(2(x1))))))))) -> 0(4(0(0(2(5(5(1(3(2(x1))))))))))
, 0(3(5(1(2(2(0(1(3(x1))))))))) -> 0(4(2(0(2(1(1(3(5(3(x1))))))))))
, 0(3(2(0(3(4(3(1(3(x1))))))))) ->
1(3(0(1(4(3(1(3(3(0(2(x1)))))))))))
, 0(2(1(4(2(2(0(3(1(x1))))))))) -> 0(2(3(4(1(2(0(0(2(1(x1))))))))))
, 0(1(4(2(2(5(5(5(2(x1))))))))) -> 0(2(5(0(2(5(4(1(5(2(x1))))))))))
, 5(2(0(1(5(1(2(3(x1)))))))) -> 0(2(2(3(1(1(1(5(5(x1)))))))))
, 5(0(3(4(2(1(1(4(x1)))))))) -> 5(4(0(0(2(3(1(1(4(x1)))))))))
, 4(5(0(0(3(3(0(2(x1)))))))) -> 1(4(3(0(5(3(0(0(2(x1)))))))))
, 4(2(3(1(0(0(5(2(x1)))))))) -> 2(0(0(2(1(1(5(4(3(x1)))))))))
, 3(2(3(0(3(2(3(2(x1)))))))) -> 3(3(2(1(3(2(3(0(2(x1)))))))))
, 3(1(0(3(1(2(1(2(x1)))))))) -> 3(1(3(1(1(0(0(2(2(x1)))))))))
, 3(0(0(1(4(2(4(2(x1)))))))) -> 3(2(1(4(0(2(0(4(1(x1)))))))))
, 2(2(4(2(3(3(1(5(x1)))))))) -> 2(2(1(3(4(3(2(1(5(x1)))))))))
, 2(2(0(3(1(5(3(1(x1)))))))) -> 2(3(0(2(1(1(3(5(1(x1)))))))))
, 0(3(4(4(4(0(4(5(x1)))))))) -> 4(3(0(1(4(4(0(4(5(x1)))))))))
, 0(3(0(3(4(2(5(2(x1)))))))) -> 0(1(2(4(3(5(0(2(3(x1)))))))))
, 0(1(1(2(5(0(3(1(x1)))))))) -> 0(5(1(1(0(2(1(1(3(x1)))))))))
, 5(3(5(0(1(2(4(x1))))))) -> 4(5(0(2(1(3(1(5(x1))))))))
, 4(4(2(5(3(1(1(x1))))))) -> 5(4(3(4(1(2(1(1(x1))))))))
, 4(3(4(5(2(1(2(x1))))))) -> 5(2(2(4(4(1(1(3(x1))))))))
, 4(3(0(3(2(5(3(x1))))))) -> 0(2(1(3(1(3(4(5(3(x1)))))))))
, 4(2(1(0(3(5(5(x1))))))) -> 5(0(1(4(3(1(2(5(x1))))))))
, 3(3(4(1(0(3(2(x1))))))) -> 3(3(4(1(1(3(0(2(x1))))))))
, 2(5(0(0(4(4(2(x1))))))) -> 2(0(4(1(0(4(5(2(x1))))))))
, 2(4(1(0(3(0(2(x1))))))) -> 2(0(2(1(3(1(0(4(x1))))))))
, 2(3(0(3(0(1(2(x1))))))) -> 3(0(2(1(1(0(2(3(x1))))))))
, 0(5(3(3(2(1(5(x1))))))) -> 0(2(1(3(1(3(5(5(x1))))))))
, 0(3(2(0(0(3(2(x1))))))) -> 0(0(2(3(0(2(3(1(x1))))))))
, 0(3(1(4(4(2(4(x1))))))) -> 4(1(2(1(0(4(3(4(x1))))))))
, 0(1(2(5(3(5(4(x1))))))) -> 5(1(4(3(1(2(0(5(x1))))))))
, 0(1(2(4(3(5(4(x1))))))) -> 0(2(4(5(4(1(1(3(x1))))))))
, 5(4(0(3(2(4(x1)))))) -> 4(2(0(5(4(1(1(3(x1))))))))
, 5(4(0(3(1(2(x1)))))) -> 0(1(4(5(2(1(3(x1)))))))
, 4(2(2(0(3(2(x1)))))) -> 2(2(0(2(4(1(1(3(x1))))))))
, 0(3(2(5(5(1(x1)))))) -> 0(2(1(1(3(5(5(1(x1))))))))
, 0(3(2(4(1(4(x1)))))) -> 4(1(3(0(2(4(1(x1)))))))
, 0(3(2(3(4(1(x1)))))) -> 4(1(1(3(0(2(1(3(x1))))))))
, 0(3(2(2(4(5(x1)))))) -> 0(2(5(4(1(2(3(x1)))))))
, 0(3(2(0(3(4(x1)))))) -> 1(0(2(3(3(0(4(x1)))))))
, 0(3(1(4(3(2(x1)))))) -> 1(0(2(1(4(3(3(x1)))))))
, 0(3(0(5(4(2(x1)))))) -> 4(1(0(2(3(0(5(x1)))))))
, 0(1(5(3(0(2(x1)))))) -> 0(2(0(5(1(1(3(x1)))))))
, 0(1(1(4(4(2(x1)))))) -> 4(1(1(1(0(4(2(x1)))))))
, 5(2(0(1(2(x1))))) -> 0(2(1(5(0(2(x1))))))
, 5(1(2(0(3(x1))))) -> 1(0(2(1(3(5(x1))))))
, 5(0(3(1(2(x1))))) -> 0(5(2(1(1(3(x1))))))
, 4(5(0(3(3(x1))))) -> 0(5(4(1(3(3(x1))))))
, 4(5(0(3(2(x1))))) -> 4(5(0(2(3(1(x1))))))
, 4(2(5(0(3(x1))))) -> 5(4(3(0(2(1(x1))))))
, 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1))))))
, 2(4(0(3(2(x1))))) -> 2(4(3(0(0(2(x1))))))
, 2(2(0(3(5(x1))))) -> 2(5(0(2(1(3(x1))))))
, 0(3(2(5(3(x1))))) -> 5(1(3(0(2(3(x1))))))
, 0(3(2(4(4(x1))))) -> 4(0(4(2(1(3(x1))))))
, 0(1(2(5(1(x1))))) -> 0(2(1(1(0(5(x1))))))
, 0(1(2(2(2(x1))))) -> 0(2(1(2(1(2(x1))))))
, 0(1(2(0(3(x1))))) -> 0(2(1(3(1(0(x1))))))
, 3(0(3(2(x1)))) -> 3(0(2(3(1(x1)))))
, 1(2(0(3(x1)))) -> 3(1(0(2(1(x1)))))
, 0(3(4(4(x1)))) -> 0(1(4(4(3(1(x1))))))
, 0(3(4(2(x1)))) -> 0(4(2(1(3(x1)))))
, 0(3(2(4(x1)))) -> 0(1(4(3(2(x1)))))
, 0(1(2(4(x1)))) -> 0(2(4(1(1(x1)))))
, 0(3(2(x1))) -> 0(2(1(1(3(x1)))))
, 0(3(2(x1))) -> 0(2(1(3(x1))))
, 0(1(2(x1))) -> 0(2(1(1(x1))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool CDI
stdout:
TIMEOUT
Statistics:
Number of monomials: 0
Last formula building started for bound 0
Last SAT solving started for bound 0Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(5(0(1(0(0(3(2(2(4(x1)))))))))) ->
0(0(2(0(5(2(5(4(1(1(3(x1)))))))))))
, 4(5(0(4(0(0(5(2(0(3(x1)))))))))) ->
5(1(5(4(0(0(2(3(0(4(0(x1)))))))))))
, 4(4(2(5(0(5(5(0(0(3(x1)))))))))) ->
0(2(5(4(3(1(4(0(5(5(0(x1)))))))))))
, 4(2(0(3(1(1(5(0(3(1(x1)))))))))) ->
1(3(0(1(5(0(2(3(1(1(4(x1)))))))))))
, 2(4(2(0(1(0(3(4(4(3(x1)))))))))) ->
2(1(0(0(1(4(3(2(4(4(3(x1)))))))))))
, 2(4(0(1(5(3(0(0(3(3(x1)))))))))) ->
3(0(3(0(5(4(0(2(1(1(3(x1)))))))))))
, 2(0(1(2(5(0(3(2(1(1(x1)))))))))) ->
2(5(4(1(1(1(3(0(2(0(2(x1)))))))))))
, 1(5(2(0(3(4(2(2(5(5(x1)))))))))) ->
1(5(2(5(0(2(2(5(1(4(3(x1)))))))))))
, 1(4(5(1(4(2(5(1(3(1(x1)))))))))) ->
5(5(1(4(3(1(4(1(1(2(1(x1)))))))))))
, 1(0(3(2(5(2(5(4(1(2(x1)))))))))) ->
1(5(2(0(2(1(4(5(0(2(3(x1)))))))))))
, 0(4(3(3(4(0(3(2(5(4(x1)))))))))) ->
0(1(4(4(3(2(3(3(4(5(0(x1)))))))))))
, 0(3(5(4(1(4(3(5(3(4(x1)))))))))) ->
0(5(4(3(3(1(5(4(4(3(1(x1)))))))))))
, 0(3(4(2(3(2(2(3(2(4(x1)))))))))) ->
4(3(2(2(3(0(2(1(3(2(4(x1)))))))))))
, 0(1(3(4(2(5(0(3(5(1(x1)))))))))) ->
5(2(3(1(4(3(0(5(0(0(1(x1)))))))))))
, 5(1(2(2(0(3(5(1(2(x1))))))))) ->
1(0(2(1(3(2(5(5(2(1(1(x1)))))))))))
, 4(2(1(5(3(0(1(2(2(x1))))))))) -> 2(5(0(2(1(4(3(2(1(1(x1))))))))))
, 3(0(1(3(5(1(4(5(4(x1))))))))) -> 1(1(0(4(5(5(1(3(3(4(x1))))))))))
, 3(0(0(1(2(0(3(2(5(x1))))))))) -> 0(2(2(0(5(1(0(1(3(3(x1))))))))))
, 2(1(4(0(3(2(4(1(5(x1))))))))) -> 2(1(1(3(0(2(5(4(0(4(x1))))))))))
, 1(4(2(4(0(0(0(3(4(x1))))))))) -> 4(0(2(1(4(3(0(0(4(1(x1))))))))))
, 0(4(0(3(2(5(0(5(2(x1))))))))) -> 0(4(0(0(2(5(5(1(3(2(x1))))))))))
, 0(3(5(1(2(2(0(1(3(x1))))))))) -> 0(4(2(0(2(1(1(3(5(3(x1))))))))))
, 0(3(2(0(3(4(3(1(3(x1))))))))) ->
1(3(0(1(4(3(1(3(3(0(2(x1)))))))))))
, 0(2(1(4(2(2(0(3(1(x1))))))))) -> 0(2(3(4(1(2(0(0(2(1(x1))))))))))
, 0(1(4(2(2(5(5(5(2(x1))))))))) -> 0(2(5(0(2(5(4(1(5(2(x1))))))))))
, 5(2(0(1(5(1(2(3(x1)))))))) -> 0(2(2(3(1(1(1(5(5(x1)))))))))
, 5(0(3(4(2(1(1(4(x1)))))))) -> 5(4(0(0(2(3(1(1(4(x1)))))))))
, 4(5(0(0(3(3(0(2(x1)))))))) -> 1(4(3(0(5(3(0(0(2(x1)))))))))
, 4(2(3(1(0(0(5(2(x1)))))))) -> 2(0(0(2(1(1(5(4(3(x1)))))))))
, 3(2(3(0(3(2(3(2(x1)))))))) -> 3(3(2(1(3(2(3(0(2(x1)))))))))
, 3(1(0(3(1(2(1(2(x1)))))))) -> 3(1(3(1(1(0(0(2(2(x1)))))))))
, 3(0(0(1(4(2(4(2(x1)))))))) -> 3(2(1(4(0(2(0(4(1(x1)))))))))
, 2(2(4(2(3(3(1(5(x1)))))))) -> 2(2(1(3(4(3(2(1(5(x1)))))))))
, 2(2(0(3(1(5(3(1(x1)))))))) -> 2(3(0(2(1(1(3(5(1(x1)))))))))
, 0(3(4(4(4(0(4(5(x1)))))))) -> 4(3(0(1(4(4(0(4(5(x1)))))))))
, 0(3(0(3(4(2(5(2(x1)))))))) -> 0(1(2(4(3(5(0(2(3(x1)))))))))
, 0(1(1(2(5(0(3(1(x1)))))))) -> 0(5(1(1(0(2(1(1(3(x1)))))))))
, 5(3(5(0(1(2(4(x1))))))) -> 4(5(0(2(1(3(1(5(x1))))))))
, 4(4(2(5(3(1(1(x1))))))) -> 5(4(3(4(1(2(1(1(x1))))))))
, 4(3(4(5(2(1(2(x1))))))) -> 5(2(2(4(4(1(1(3(x1))))))))
, 4(3(0(3(2(5(3(x1))))))) -> 0(2(1(3(1(3(4(5(3(x1)))))))))
, 4(2(1(0(3(5(5(x1))))))) -> 5(0(1(4(3(1(2(5(x1))))))))
, 3(3(4(1(0(3(2(x1))))))) -> 3(3(4(1(1(3(0(2(x1))))))))
, 2(5(0(0(4(4(2(x1))))))) -> 2(0(4(1(0(4(5(2(x1))))))))
, 2(4(1(0(3(0(2(x1))))))) -> 2(0(2(1(3(1(0(4(x1))))))))
, 2(3(0(3(0(1(2(x1))))))) -> 3(0(2(1(1(0(2(3(x1))))))))
, 0(5(3(3(2(1(5(x1))))))) -> 0(2(1(3(1(3(5(5(x1))))))))
, 0(3(2(0(0(3(2(x1))))))) -> 0(0(2(3(0(2(3(1(x1))))))))
, 0(3(1(4(4(2(4(x1))))))) -> 4(1(2(1(0(4(3(4(x1))))))))
, 0(1(2(5(3(5(4(x1))))))) -> 5(1(4(3(1(2(0(5(x1))))))))
, 0(1(2(4(3(5(4(x1))))))) -> 0(2(4(5(4(1(1(3(x1))))))))
, 5(4(0(3(2(4(x1)))))) -> 4(2(0(5(4(1(1(3(x1))))))))
, 5(4(0(3(1(2(x1)))))) -> 0(1(4(5(2(1(3(x1)))))))
, 4(2(2(0(3(2(x1)))))) -> 2(2(0(2(4(1(1(3(x1))))))))
, 0(3(2(5(5(1(x1)))))) -> 0(2(1(1(3(5(5(1(x1))))))))
, 0(3(2(4(1(4(x1)))))) -> 4(1(3(0(2(4(1(x1)))))))
, 0(3(2(3(4(1(x1)))))) -> 4(1(1(3(0(2(1(3(x1))))))))
, 0(3(2(2(4(5(x1)))))) -> 0(2(5(4(1(2(3(x1)))))))
, 0(3(2(0(3(4(x1)))))) -> 1(0(2(3(3(0(4(x1)))))))
, 0(3(1(4(3(2(x1)))))) -> 1(0(2(1(4(3(3(x1)))))))
, 0(3(0(5(4(2(x1)))))) -> 4(1(0(2(3(0(5(x1)))))))
, 0(1(5(3(0(2(x1)))))) -> 0(2(0(5(1(1(3(x1)))))))
, 0(1(1(4(4(2(x1)))))) -> 4(1(1(1(0(4(2(x1)))))))
, 5(2(0(1(2(x1))))) -> 0(2(1(5(0(2(x1))))))
, 5(1(2(0(3(x1))))) -> 1(0(2(1(3(5(x1))))))
, 5(0(3(1(2(x1))))) -> 0(5(2(1(1(3(x1))))))
, 4(5(0(3(3(x1))))) -> 0(5(4(1(3(3(x1))))))
, 4(5(0(3(2(x1))))) -> 4(5(0(2(3(1(x1))))))
, 4(2(5(0(3(x1))))) -> 5(4(3(0(2(1(x1))))))
, 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1))))))
, 2(4(0(3(2(x1))))) -> 2(4(3(0(0(2(x1))))))
, 2(2(0(3(5(x1))))) -> 2(5(0(2(1(3(x1))))))
, 0(3(2(5(3(x1))))) -> 5(1(3(0(2(3(x1))))))
, 0(3(2(4(4(x1))))) -> 4(0(4(2(1(3(x1))))))
, 0(1(2(5(1(x1))))) -> 0(2(1(1(0(5(x1))))))
, 0(1(2(2(2(x1))))) -> 0(2(1(2(1(2(x1))))))
, 0(1(2(0(3(x1))))) -> 0(2(1(3(1(0(x1))))))
, 3(0(3(2(x1)))) -> 3(0(2(3(1(x1)))))
, 1(2(0(3(x1)))) -> 3(1(0(2(1(x1)))))
, 0(3(4(4(x1)))) -> 0(1(4(4(3(1(x1))))))
, 0(3(4(2(x1)))) -> 0(4(2(1(3(x1)))))
, 0(3(2(4(x1)))) -> 0(1(4(3(2(x1)))))
, 0(1(2(4(x1)))) -> 0(2(4(1(1(x1)))))
, 0(3(2(x1))) -> 0(2(1(1(3(x1)))))
, 0(3(2(x1))) -> 0(2(1(3(x1))))
, 0(1(2(x1))) -> 0(2(1(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(5(0(1(0(0(3(2(2(4(x1)))))))))) ->
0(0(2(0(5(2(5(4(1(1(3(x1)))))))))))
, 4(5(0(4(0(0(5(2(0(3(x1)))))))))) ->
5(1(5(4(0(0(2(3(0(4(0(x1)))))))))))
, 4(4(2(5(0(5(5(0(0(3(x1)))))))))) ->
0(2(5(4(3(1(4(0(5(5(0(x1)))))))))))
, 4(2(0(3(1(1(5(0(3(1(x1)))))))))) ->
1(3(0(1(5(0(2(3(1(1(4(x1)))))))))))
, 2(4(2(0(1(0(3(4(4(3(x1)))))))))) ->
2(1(0(0(1(4(3(2(4(4(3(x1)))))))))))
, 2(4(0(1(5(3(0(0(3(3(x1)))))))))) ->
3(0(3(0(5(4(0(2(1(1(3(x1)))))))))))
, 2(0(1(2(5(0(3(2(1(1(x1)))))))))) ->
2(5(4(1(1(1(3(0(2(0(2(x1)))))))))))
, 1(5(2(0(3(4(2(2(5(5(x1)))))))))) ->
1(5(2(5(0(2(2(5(1(4(3(x1)))))))))))
, 1(4(5(1(4(2(5(1(3(1(x1)))))))))) ->
5(5(1(4(3(1(4(1(1(2(1(x1)))))))))))
, 1(0(3(2(5(2(5(4(1(2(x1)))))))))) ->
1(5(2(0(2(1(4(5(0(2(3(x1)))))))))))
, 0(4(3(3(4(0(3(2(5(4(x1)))))))))) ->
0(1(4(4(3(2(3(3(4(5(0(x1)))))))))))
, 0(3(5(4(1(4(3(5(3(4(x1)))))))))) ->
0(5(4(3(3(1(5(4(4(3(1(x1)))))))))))
, 0(3(4(2(3(2(2(3(2(4(x1)))))))))) ->
4(3(2(2(3(0(2(1(3(2(4(x1)))))))))))
, 0(1(3(4(2(5(0(3(5(1(x1)))))))))) ->
5(2(3(1(4(3(0(5(0(0(1(x1)))))))))))
, 5(1(2(2(0(3(5(1(2(x1))))))))) ->
1(0(2(1(3(2(5(5(2(1(1(x1)))))))))))
, 4(2(1(5(3(0(1(2(2(x1))))))))) -> 2(5(0(2(1(4(3(2(1(1(x1))))))))))
, 3(0(1(3(5(1(4(5(4(x1))))))))) -> 1(1(0(4(5(5(1(3(3(4(x1))))))))))
, 3(0(0(1(2(0(3(2(5(x1))))))))) -> 0(2(2(0(5(1(0(1(3(3(x1))))))))))
, 2(1(4(0(3(2(4(1(5(x1))))))))) -> 2(1(1(3(0(2(5(4(0(4(x1))))))))))
, 1(4(2(4(0(0(0(3(4(x1))))))))) -> 4(0(2(1(4(3(0(0(4(1(x1))))))))))
, 0(4(0(3(2(5(0(5(2(x1))))))))) -> 0(4(0(0(2(5(5(1(3(2(x1))))))))))
, 0(3(5(1(2(2(0(1(3(x1))))))))) -> 0(4(2(0(2(1(1(3(5(3(x1))))))))))
, 0(3(2(0(3(4(3(1(3(x1))))))))) ->
1(3(0(1(4(3(1(3(3(0(2(x1)))))))))))
, 0(2(1(4(2(2(0(3(1(x1))))))))) -> 0(2(3(4(1(2(0(0(2(1(x1))))))))))
, 0(1(4(2(2(5(5(5(2(x1))))))))) -> 0(2(5(0(2(5(4(1(5(2(x1))))))))))
, 5(2(0(1(5(1(2(3(x1)))))))) -> 0(2(2(3(1(1(1(5(5(x1)))))))))
, 5(0(3(4(2(1(1(4(x1)))))))) -> 5(4(0(0(2(3(1(1(4(x1)))))))))
, 4(5(0(0(3(3(0(2(x1)))))))) -> 1(4(3(0(5(3(0(0(2(x1)))))))))
, 4(2(3(1(0(0(5(2(x1)))))))) -> 2(0(0(2(1(1(5(4(3(x1)))))))))
, 3(2(3(0(3(2(3(2(x1)))))))) -> 3(3(2(1(3(2(3(0(2(x1)))))))))
, 3(1(0(3(1(2(1(2(x1)))))))) -> 3(1(3(1(1(0(0(2(2(x1)))))))))
, 3(0(0(1(4(2(4(2(x1)))))))) -> 3(2(1(4(0(2(0(4(1(x1)))))))))
, 2(2(4(2(3(3(1(5(x1)))))))) -> 2(2(1(3(4(3(2(1(5(x1)))))))))
, 2(2(0(3(1(5(3(1(x1)))))))) -> 2(3(0(2(1(1(3(5(1(x1)))))))))
, 0(3(4(4(4(0(4(5(x1)))))))) -> 4(3(0(1(4(4(0(4(5(x1)))))))))
, 0(3(0(3(4(2(5(2(x1)))))))) -> 0(1(2(4(3(5(0(2(3(x1)))))))))
, 0(1(1(2(5(0(3(1(x1)))))))) -> 0(5(1(1(0(2(1(1(3(x1)))))))))
, 5(3(5(0(1(2(4(x1))))))) -> 4(5(0(2(1(3(1(5(x1))))))))
, 4(4(2(5(3(1(1(x1))))))) -> 5(4(3(4(1(2(1(1(x1))))))))
, 4(3(4(5(2(1(2(x1))))))) -> 5(2(2(4(4(1(1(3(x1))))))))
, 4(3(0(3(2(5(3(x1))))))) -> 0(2(1(3(1(3(4(5(3(x1)))))))))
, 4(2(1(0(3(5(5(x1))))))) -> 5(0(1(4(3(1(2(5(x1))))))))
, 3(3(4(1(0(3(2(x1))))))) -> 3(3(4(1(1(3(0(2(x1))))))))
, 2(5(0(0(4(4(2(x1))))))) -> 2(0(4(1(0(4(5(2(x1))))))))
, 2(4(1(0(3(0(2(x1))))))) -> 2(0(2(1(3(1(0(4(x1))))))))
, 2(3(0(3(0(1(2(x1))))))) -> 3(0(2(1(1(0(2(3(x1))))))))
, 0(5(3(3(2(1(5(x1))))))) -> 0(2(1(3(1(3(5(5(x1))))))))
, 0(3(2(0(0(3(2(x1))))))) -> 0(0(2(3(0(2(3(1(x1))))))))
, 0(3(1(4(4(2(4(x1))))))) -> 4(1(2(1(0(4(3(4(x1))))))))
, 0(1(2(5(3(5(4(x1))))))) -> 5(1(4(3(1(2(0(5(x1))))))))
, 0(1(2(4(3(5(4(x1))))))) -> 0(2(4(5(4(1(1(3(x1))))))))
, 5(4(0(3(2(4(x1)))))) -> 4(2(0(5(4(1(1(3(x1))))))))
, 5(4(0(3(1(2(x1)))))) -> 0(1(4(5(2(1(3(x1)))))))
, 4(2(2(0(3(2(x1)))))) -> 2(2(0(2(4(1(1(3(x1))))))))
, 0(3(2(5(5(1(x1)))))) -> 0(2(1(1(3(5(5(1(x1))))))))
, 0(3(2(4(1(4(x1)))))) -> 4(1(3(0(2(4(1(x1)))))))
, 0(3(2(3(4(1(x1)))))) -> 4(1(1(3(0(2(1(3(x1))))))))
, 0(3(2(2(4(5(x1)))))) -> 0(2(5(4(1(2(3(x1)))))))
, 0(3(2(0(3(4(x1)))))) -> 1(0(2(3(3(0(4(x1)))))))
, 0(3(1(4(3(2(x1)))))) -> 1(0(2(1(4(3(3(x1)))))))
, 0(3(0(5(4(2(x1)))))) -> 4(1(0(2(3(0(5(x1)))))))
, 0(1(5(3(0(2(x1)))))) -> 0(2(0(5(1(1(3(x1)))))))
, 0(1(1(4(4(2(x1)))))) -> 4(1(1(1(0(4(2(x1)))))))
, 5(2(0(1(2(x1))))) -> 0(2(1(5(0(2(x1))))))
, 5(1(2(0(3(x1))))) -> 1(0(2(1(3(5(x1))))))
, 5(0(3(1(2(x1))))) -> 0(5(2(1(1(3(x1))))))
, 4(5(0(3(3(x1))))) -> 0(5(4(1(3(3(x1))))))
, 4(5(0(3(2(x1))))) -> 4(5(0(2(3(1(x1))))))
, 4(2(5(0(3(x1))))) -> 5(4(3(0(2(1(x1))))))
, 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1))))))
, 2(4(0(3(2(x1))))) -> 2(4(3(0(0(2(x1))))))
, 2(2(0(3(5(x1))))) -> 2(5(0(2(1(3(x1))))))
, 0(3(2(5(3(x1))))) -> 5(1(3(0(2(3(x1))))))
, 0(3(2(4(4(x1))))) -> 4(0(4(2(1(3(x1))))))
, 0(1(2(5(1(x1))))) -> 0(2(1(1(0(5(x1))))))
, 0(1(2(2(2(x1))))) -> 0(2(1(2(1(2(x1))))))
, 0(1(2(0(3(x1))))) -> 0(2(1(3(1(0(x1))))))
, 3(0(3(2(x1)))) -> 3(0(2(3(1(x1)))))
, 1(2(0(3(x1)))) -> 3(1(0(2(1(x1)))))
, 0(3(4(4(x1)))) -> 0(1(4(4(3(1(x1))))))
, 0(3(4(2(x1)))) -> 0(4(2(1(3(x1)))))
, 0(3(2(4(x1)))) -> 0(1(4(3(2(x1)))))
, 0(1(2(4(x1)))) -> 0(2(4(1(1(x1)))))
, 0(3(2(x1))) -> 0(2(1(1(3(x1)))))
, 0(3(2(x1))) -> 0(2(1(3(x1))))
, 0(1(2(x1))) -> 0(2(1(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(5(0(1(0(0(3(2(2(4(x1)))))))))) ->
0(0(2(0(5(2(5(4(1(1(3(x1)))))))))))
, 4(5(0(4(0(0(5(2(0(3(x1)))))))))) ->
5(1(5(4(0(0(2(3(0(4(0(x1)))))))))))
, 4(4(2(5(0(5(5(0(0(3(x1)))))))))) ->
0(2(5(4(3(1(4(0(5(5(0(x1)))))))))))
, 4(2(0(3(1(1(5(0(3(1(x1)))))))))) ->
1(3(0(1(5(0(2(3(1(1(4(x1)))))))))))
, 2(4(2(0(1(0(3(4(4(3(x1)))))))))) ->
2(1(0(0(1(4(3(2(4(4(3(x1)))))))))))
, 2(4(0(1(5(3(0(0(3(3(x1)))))))))) ->
3(0(3(0(5(4(0(2(1(1(3(x1)))))))))))
, 2(0(1(2(5(0(3(2(1(1(x1)))))))))) ->
2(5(4(1(1(1(3(0(2(0(2(x1)))))))))))
, 1(5(2(0(3(4(2(2(5(5(x1)))))))))) ->
1(5(2(5(0(2(2(5(1(4(3(x1)))))))))))
, 1(4(5(1(4(2(5(1(3(1(x1)))))))))) ->
5(5(1(4(3(1(4(1(1(2(1(x1)))))))))))
, 1(0(3(2(5(2(5(4(1(2(x1)))))))))) ->
1(5(2(0(2(1(4(5(0(2(3(x1)))))))))))
, 0(4(3(3(4(0(3(2(5(4(x1)))))))))) ->
0(1(4(4(3(2(3(3(4(5(0(x1)))))))))))
, 0(3(5(4(1(4(3(5(3(4(x1)))))))))) ->
0(5(4(3(3(1(5(4(4(3(1(x1)))))))))))
, 0(3(4(2(3(2(2(3(2(4(x1)))))))))) ->
4(3(2(2(3(0(2(1(3(2(4(x1)))))))))))
, 0(1(3(4(2(5(0(3(5(1(x1)))))))))) ->
5(2(3(1(4(3(0(5(0(0(1(x1)))))))))))
, 5(1(2(2(0(3(5(1(2(x1))))))))) ->
1(0(2(1(3(2(5(5(2(1(1(x1)))))))))))
, 4(2(1(5(3(0(1(2(2(x1))))))))) -> 2(5(0(2(1(4(3(2(1(1(x1))))))))))
, 3(0(1(3(5(1(4(5(4(x1))))))))) -> 1(1(0(4(5(5(1(3(3(4(x1))))))))))
, 3(0(0(1(2(0(3(2(5(x1))))))))) -> 0(2(2(0(5(1(0(1(3(3(x1))))))))))
, 2(1(4(0(3(2(4(1(5(x1))))))))) -> 2(1(1(3(0(2(5(4(0(4(x1))))))))))
, 1(4(2(4(0(0(0(3(4(x1))))))))) -> 4(0(2(1(4(3(0(0(4(1(x1))))))))))
, 0(4(0(3(2(5(0(5(2(x1))))))))) -> 0(4(0(0(2(5(5(1(3(2(x1))))))))))
, 0(3(5(1(2(2(0(1(3(x1))))))))) -> 0(4(2(0(2(1(1(3(5(3(x1))))))))))
, 0(3(2(0(3(4(3(1(3(x1))))))))) ->
1(3(0(1(4(3(1(3(3(0(2(x1)))))))))))
, 0(2(1(4(2(2(0(3(1(x1))))))))) -> 0(2(3(4(1(2(0(0(2(1(x1))))))))))
, 0(1(4(2(2(5(5(5(2(x1))))))))) -> 0(2(5(0(2(5(4(1(5(2(x1))))))))))
, 5(2(0(1(5(1(2(3(x1)))))))) -> 0(2(2(3(1(1(1(5(5(x1)))))))))
, 5(0(3(4(2(1(1(4(x1)))))))) -> 5(4(0(0(2(3(1(1(4(x1)))))))))
, 4(5(0(0(3(3(0(2(x1)))))))) -> 1(4(3(0(5(3(0(0(2(x1)))))))))
, 4(2(3(1(0(0(5(2(x1)))))))) -> 2(0(0(2(1(1(5(4(3(x1)))))))))
, 3(2(3(0(3(2(3(2(x1)))))))) -> 3(3(2(1(3(2(3(0(2(x1)))))))))
, 3(1(0(3(1(2(1(2(x1)))))))) -> 3(1(3(1(1(0(0(2(2(x1)))))))))
, 3(0(0(1(4(2(4(2(x1)))))))) -> 3(2(1(4(0(2(0(4(1(x1)))))))))
, 2(2(4(2(3(3(1(5(x1)))))))) -> 2(2(1(3(4(3(2(1(5(x1)))))))))
, 2(2(0(3(1(5(3(1(x1)))))))) -> 2(3(0(2(1(1(3(5(1(x1)))))))))
, 0(3(4(4(4(0(4(5(x1)))))))) -> 4(3(0(1(4(4(0(4(5(x1)))))))))
, 0(3(0(3(4(2(5(2(x1)))))))) -> 0(1(2(4(3(5(0(2(3(x1)))))))))
, 0(1(1(2(5(0(3(1(x1)))))))) -> 0(5(1(1(0(2(1(1(3(x1)))))))))
, 5(3(5(0(1(2(4(x1))))))) -> 4(5(0(2(1(3(1(5(x1))))))))
, 4(4(2(5(3(1(1(x1))))))) -> 5(4(3(4(1(2(1(1(x1))))))))
, 4(3(4(5(2(1(2(x1))))))) -> 5(2(2(4(4(1(1(3(x1))))))))
, 4(3(0(3(2(5(3(x1))))))) -> 0(2(1(3(1(3(4(5(3(x1)))))))))
, 4(2(1(0(3(5(5(x1))))))) -> 5(0(1(4(3(1(2(5(x1))))))))
, 3(3(4(1(0(3(2(x1))))))) -> 3(3(4(1(1(3(0(2(x1))))))))
, 2(5(0(0(4(4(2(x1))))))) -> 2(0(4(1(0(4(5(2(x1))))))))
, 2(4(1(0(3(0(2(x1))))))) -> 2(0(2(1(3(1(0(4(x1))))))))
, 2(3(0(3(0(1(2(x1))))))) -> 3(0(2(1(1(0(2(3(x1))))))))
, 0(5(3(3(2(1(5(x1))))))) -> 0(2(1(3(1(3(5(5(x1))))))))
, 0(3(2(0(0(3(2(x1))))))) -> 0(0(2(3(0(2(3(1(x1))))))))
, 0(3(1(4(4(2(4(x1))))))) -> 4(1(2(1(0(4(3(4(x1))))))))
, 0(1(2(5(3(5(4(x1))))))) -> 5(1(4(3(1(2(0(5(x1))))))))
, 0(1(2(4(3(5(4(x1))))))) -> 0(2(4(5(4(1(1(3(x1))))))))
, 5(4(0(3(2(4(x1)))))) -> 4(2(0(5(4(1(1(3(x1))))))))
, 5(4(0(3(1(2(x1)))))) -> 0(1(4(5(2(1(3(x1)))))))
, 4(2(2(0(3(2(x1)))))) -> 2(2(0(2(4(1(1(3(x1))))))))
, 0(3(2(5(5(1(x1)))))) -> 0(2(1(1(3(5(5(1(x1))))))))
, 0(3(2(4(1(4(x1)))))) -> 4(1(3(0(2(4(1(x1)))))))
, 0(3(2(3(4(1(x1)))))) -> 4(1(1(3(0(2(1(3(x1))))))))
, 0(3(2(2(4(5(x1)))))) -> 0(2(5(4(1(2(3(x1)))))))
, 0(3(2(0(3(4(x1)))))) -> 1(0(2(3(3(0(4(x1)))))))
, 0(3(1(4(3(2(x1)))))) -> 1(0(2(1(4(3(3(x1)))))))
, 0(3(0(5(4(2(x1)))))) -> 4(1(0(2(3(0(5(x1)))))))
, 0(1(5(3(0(2(x1)))))) -> 0(2(0(5(1(1(3(x1)))))))
, 0(1(1(4(4(2(x1)))))) -> 4(1(1(1(0(4(2(x1)))))))
, 5(2(0(1(2(x1))))) -> 0(2(1(5(0(2(x1))))))
, 5(1(2(0(3(x1))))) -> 1(0(2(1(3(5(x1))))))
, 5(0(3(1(2(x1))))) -> 0(5(2(1(1(3(x1))))))
, 4(5(0(3(3(x1))))) -> 0(5(4(1(3(3(x1))))))
, 4(5(0(3(2(x1))))) -> 4(5(0(2(3(1(x1))))))
, 4(2(5(0(3(x1))))) -> 5(4(3(0(2(1(x1))))))
, 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1))))))
, 2(4(0(3(2(x1))))) -> 2(4(3(0(0(2(x1))))))
, 2(2(0(3(5(x1))))) -> 2(5(0(2(1(3(x1))))))
, 0(3(2(5(3(x1))))) -> 5(1(3(0(2(3(x1))))))
, 0(3(2(4(4(x1))))) -> 4(0(4(2(1(3(x1))))))
, 0(1(2(5(1(x1))))) -> 0(2(1(1(0(5(x1))))))
, 0(1(2(2(2(x1))))) -> 0(2(1(2(1(2(x1))))))
, 0(1(2(0(3(x1))))) -> 0(2(1(3(1(0(x1))))))
, 3(0(3(2(x1)))) -> 3(0(2(3(1(x1)))))
, 1(2(0(3(x1)))) -> 3(1(0(2(1(x1)))))
, 0(3(4(4(x1)))) -> 0(1(4(4(3(1(x1))))))
, 0(3(4(2(x1)))) -> 0(4(2(1(3(x1)))))
, 0(3(2(4(x1)))) -> 0(1(4(3(2(x1)))))
, 0(1(2(4(x1)))) -> 0(2(4(1(1(x1)))))
, 0(3(2(x1))) -> 0(2(1(1(3(x1)))))
, 0(3(2(x1))) -> 0(2(1(3(x1))))
, 0(1(2(x1))) -> 0(2(1(1(x1))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..