LMPO
| Execution Time (secs) | 0.080  | 
| Answer | MAYBE  | 
| Input | Der95 32 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  sort(nil()) -> nil()
     , sort(cons(x, y)) -> insert(x, sort(y))
     , insert(x, nil()) -> cons(x, nil())
     , insert(x, cons(v, w)) -> choose(x, cons(v, w), x, v)
     , choose(x, cons(v, w), y, 0()) -> cons(x, cons(v, w))
     , choose(x, cons(v, w), 0(), s(z)) -> cons(v, insert(x, w))
     , choose(x, cons(v, w), s(y), s(z)) -> choose(x, cons(v, w), y, z)}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
MPO
| Execution Time (secs) | 0.084  | 
| Answer | MAYBE  | 
| Input | Der95 32 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  sort(nil()) -> nil()
     , sort(cons(x, y)) -> insert(x, sort(y))
     , insert(x, nil()) -> cons(x, nil())
     , insert(x, cons(v, w)) -> choose(x, cons(v, w), x, v)
     , choose(x, cons(v, w), y, 0()) -> cons(x, cons(v, w))
     , choose(x, cons(v, w), 0(), s(z)) -> cons(v, insert(x, w))
     , choose(x, cons(v, w), s(y), s(z)) -> choose(x, cons(v, w), y, z)}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
POP*
| Execution Time (secs) | 0.095  | 
| Answer | MAYBE  | 
| Input | Der95 32 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  sort(nil()) -> nil()
     , sort(cons(x, y)) -> insert(x, sort(y))
     , insert(x, nil()) -> cons(x, nil())
     , insert(x, cons(v, w)) -> choose(x, cons(v, w), x, v)
     , choose(x, cons(v, w), y, 0()) -> cons(x, cons(v, w))
     , choose(x, cons(v, w), 0(), s(z)) -> cons(v, insert(x, w))
     , choose(x, cons(v, w), s(y), s(z)) -> choose(x, cons(v, w), y, z)}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
POP* (PS)
| Execution Time (secs) | 0.074  | 
| Answer | MAYBE  | 
| Input | Der95 32 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  sort(nil()) -> nil()
     , sort(cons(x, y)) -> insert(x, sort(y))
     , insert(x, nil()) -> cons(x, nil())
     , insert(x, cons(v, w)) -> choose(x, cons(v, w), x, v)
     , choose(x, cons(v, w), y, 0()) -> cons(x, cons(v, w))
     , choose(x, cons(v, w), 0(), s(z)) -> cons(v, insert(x, w))
     , choose(x, cons(v, w), s(y), s(z)) -> choose(x, cons(v, w), y, z)}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
Small POP*
| Execution Time (secs) | 0.079  | 
| Answer | MAYBE  | 
| Input | Der95 32 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  sort(nil()) -> nil()
     , sort(cons(x, y)) -> insert(x, sort(y))
     , insert(x, nil()) -> cons(x, nil())
     , insert(x, cons(v, w)) -> choose(x, cons(v, w), x, v)
     , choose(x, cons(v, w), y, 0()) -> cons(x, cons(v, w))
     , choose(x, cons(v, w), 0(), s(z)) -> cons(v, insert(x, w))
     , choose(x, cons(v, w), s(y), s(z)) -> choose(x, cons(v, w), y, z)}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
Small POP* (PS)
| Execution Time (secs) | 0.090  | 
| Answer | MAYBE  | 
| Input | Der95 32 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  sort(nil()) -> nil()
     , sort(cons(x, y)) -> insert(x, sort(y))
     , insert(x, nil()) -> cons(x, nil())
     , insert(x, cons(v, w)) -> choose(x, cons(v, w), x, v)
     , choose(x, cons(v, w), y, 0()) -> cons(x, cons(v, w))
     , choose(x, cons(v, w), 0(), s(z)) -> cons(v, insert(x, w))
     , choose(x, cons(v, w), s(y), s(z)) -> choose(x, cons(v, w), y, z)}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..