LMPO
| Execution Time (secs) | 0.056  | 
| Answer | MAYBE  | 
| Input | SK90 4.31 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  purge(nil()) -> nil()
     , purge(.(x, y)) -> .(x, purge(remove(x, y)))
     , remove(x, nil()) -> nil()
     , remove(x, .(y, z)) ->
       if(=(x, y), remove(x, z), .(y, remove(x, z)))}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
MPO
| Execution Time (secs) | 0.083  | 
| Answer | MAYBE  | 
| Input | SK90 4.31 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  purge(nil()) -> nil()
     , purge(.(x, y)) -> .(x, purge(remove(x, y)))
     , remove(x, nil()) -> nil()
     , remove(x, .(y, z)) ->
       if(=(x, y), remove(x, z), .(y, remove(x, z)))}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
POP*
| Execution Time (secs) | 0.057  | 
| Answer | MAYBE  | 
| Input | SK90 4.31 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  purge(nil()) -> nil()
     , purge(.(x, y)) -> .(x, purge(remove(x, y)))
     , remove(x, nil()) -> nil()
     , remove(x, .(y, z)) ->
       if(=(x, y), remove(x, z), .(y, remove(x, z)))}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
POP* (PS)
| Execution Time (secs) | 0.050  | 
| Answer | MAYBE  | 
| Input | SK90 4.31 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  purge(nil()) -> nil()
     , purge(.(x, y)) -> .(x, purge(remove(x, y)))
     , remove(x, nil()) -> nil()
     , remove(x, .(y, z)) ->
       if(=(x, y), remove(x, z), .(y, remove(x, z)))}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
Small POP*
| Execution Time (secs) | 0.053  | 
| Answer | MAYBE  | 
| Input | SK90 4.31 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  purge(nil()) -> nil()
     , purge(.(x, y)) -> .(x, purge(remove(x, y)))
     , remove(x, nil()) -> nil()
     , remove(x, .(y, z)) ->
       if(=(x, y), remove(x, z), .(y, remove(x, z)))}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..
Small POP* (PS)
| Execution Time (secs) | 0.037  | 
| Answer | MAYBE  | 
| Input | SK90 4.31 | 
MAYBE
We consider the following Problem:
  Strict Trs:
    {  purge(nil()) -> nil()
     , purge(.(x, y)) -> .(x, purge(remove(x, y)))
     , remove(x, nil()) -> nil()
     , remove(x, .(y, z)) ->
       if(=(x, y), remove(x, z), .(y, remove(x, z)))}
  StartTerms: basic terms
  Strategy: innermost
Certificate: MAYBE
Proof:
  The input cannot be shown compatible
Arrrr..