LMPO
| Execution Time (secs) | 0.127 |
| Answer | MAYBE |
| Input | SK90 2.52 |
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, 0(), 0()) -> s(x)
, f(0(), y, 0()) -> s(y)
, f(0(), 0(), z) -> s(z)
, f(s(0()), y, z) -> f(0(), s(y), s(z))
, f(s(x), s(y), 0()) -> f(x, y, s(0()))
, f(s(x), 0(), s(z)) -> f(x, s(0()), z)
, f(0(), s(0()), s(0())) -> s(s(0()))
, f(s(x), s(y), s(z)) -> f(x, y, f(s(x), s(y), z))
, f(0(), s(s(y)), s(0())) -> f(0(), y, s(0()))
, f(0(), s(0()), s(s(z))) -> f(0(), s(0()), z)
, f(0(), s(s(y)), s(s(z))) -> f(0(), y, f(0(), s(s(y)), s(z)))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
MPO
| Execution Time (secs) | 0.174 |
| Answer | MAYBE |
| Input | SK90 2.52 |
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, 0(), 0()) -> s(x)
, f(0(), y, 0()) -> s(y)
, f(0(), 0(), z) -> s(z)
, f(s(0()), y, z) -> f(0(), s(y), s(z))
, f(s(x), s(y), 0()) -> f(x, y, s(0()))
, f(s(x), 0(), s(z)) -> f(x, s(0()), z)
, f(0(), s(0()), s(0())) -> s(s(0()))
, f(s(x), s(y), s(z)) -> f(x, y, f(s(x), s(y), z))
, f(0(), s(s(y)), s(0())) -> f(0(), y, s(0()))
, f(0(), s(0()), s(s(z))) -> f(0(), s(0()), z)
, f(0(), s(s(y)), s(s(z))) -> f(0(), y, f(0(), s(s(y)), s(z)))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
POP*
| Execution Time (secs) | 0.133 |
| Answer | MAYBE |
| Input | SK90 2.52 |
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, 0(), 0()) -> s(x)
, f(0(), y, 0()) -> s(y)
, f(0(), 0(), z) -> s(z)
, f(s(0()), y, z) -> f(0(), s(y), s(z))
, f(s(x), s(y), 0()) -> f(x, y, s(0()))
, f(s(x), 0(), s(z)) -> f(x, s(0()), z)
, f(0(), s(0()), s(0())) -> s(s(0()))
, f(s(x), s(y), s(z)) -> f(x, y, f(s(x), s(y), z))
, f(0(), s(s(y)), s(0())) -> f(0(), y, s(0()))
, f(0(), s(0()), s(s(z))) -> f(0(), s(0()), z)
, f(0(), s(s(y)), s(s(z))) -> f(0(), y, f(0(), s(s(y)), s(z)))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
POP* (PS)
| Execution Time (secs) | 0.107 |
| Answer | MAYBE |
| Input | SK90 2.52 |
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, 0(), 0()) -> s(x)
, f(0(), y, 0()) -> s(y)
, f(0(), 0(), z) -> s(z)
, f(s(0()), y, z) -> f(0(), s(y), s(z))
, f(s(x), s(y), 0()) -> f(x, y, s(0()))
, f(s(x), 0(), s(z)) -> f(x, s(0()), z)
, f(0(), s(0()), s(0())) -> s(s(0()))
, f(s(x), s(y), s(z)) -> f(x, y, f(s(x), s(y), z))
, f(0(), s(s(y)), s(0())) -> f(0(), y, s(0()))
, f(0(), s(0()), s(s(z))) -> f(0(), s(0()), z)
, f(0(), s(s(y)), s(s(z))) -> f(0(), y, f(0(), s(s(y)), s(z)))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Small POP*
| Execution Time (secs) | 0.166 |
| Answer | MAYBE |
| Input | SK90 2.52 |
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, 0(), 0()) -> s(x)
, f(0(), y, 0()) -> s(y)
, f(0(), 0(), z) -> s(z)
, f(s(0()), y, z) -> f(0(), s(y), s(z))
, f(s(x), s(y), 0()) -> f(x, y, s(0()))
, f(s(x), 0(), s(z)) -> f(x, s(0()), z)
, f(0(), s(0()), s(0())) -> s(s(0()))
, f(s(x), s(y), s(z)) -> f(x, y, f(s(x), s(y), z))
, f(0(), s(s(y)), s(0())) -> f(0(), y, s(0()))
, f(0(), s(0()), s(s(z))) -> f(0(), s(0()), z)
, f(0(), s(s(y)), s(s(z))) -> f(0(), y, f(0(), s(s(y)), s(z)))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Small POP* (PS)
| Execution Time (secs) | 0.171 |
| Answer | MAYBE |
| Input | SK90 2.52 |
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, 0(), 0()) -> s(x)
, f(0(), y, 0()) -> s(y)
, f(0(), 0(), z) -> s(z)
, f(s(0()), y, z) -> f(0(), s(y), s(z))
, f(s(x), s(y), 0()) -> f(x, y, s(0()))
, f(s(x), 0(), s(z)) -> f(x, s(0()), z)
, f(0(), s(0()), s(0())) -> s(s(0()))
, f(s(x), s(y), s(z)) -> f(x, y, f(s(x), s(y), z))
, f(0(), s(s(y)), s(0())) -> f(0(), y, s(0()))
, f(0(), s(0()), s(s(z))) -> f(0(), s(0()), z)
, f(0(), s(s(y)), s(s(z))) -> f(0(), y, f(0(), s(s(y)), s(z)))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..