Problem SK90 4.31

LMPO

Execution Time (secs)
0.056
Answer
MAYBE
InputSK90 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
InputSK90 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
InputSK90 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
InputSK90 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
InputSK90 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
InputSK90 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..