Problem AProVE 08 round

Tool LMPO

Execution Time
0.028
Answer
MAYBE
InputAProVE 08 round

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(x), x) -> f(s(x), round(s(x)))
     , round(0()) -> 0()
     , round(0()) -> s(0())
     , round(s(0())) -> s(0())
     , round(s(s(x))) -> s(s(round(x)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool MPO

Execution Time
0.047
Answer
MAYBE
InputAProVE 08 round

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(x), x) -> f(s(x), round(s(x)))
     , round(0()) -> 0()
     , round(0()) -> s(0())
     , round(s(0())) -> s(0())
     , round(s(s(x))) -> s(s(round(x)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool POP*

Execution Time
0.037
Answer
MAYBE
InputAProVE 08 round

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(x), x) -> f(s(x), round(s(x)))
     , round(0()) -> 0()
     , round(0()) -> s(0())
     , round(s(0())) -> s(0())
     , round(s(s(x))) -> s(s(round(x)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool POP* (PS)

Execution Time
0.025
Answer
MAYBE
InputAProVE 08 round

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(x), x) -> f(s(x), round(s(x)))
     , round(0()) -> 0()
     , round(0()) -> s(0())
     , round(s(0())) -> s(0())
     , round(s(s(x))) -> s(s(round(x)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool Small POP*

Execution Time
0.035
Answer
MAYBE
InputAProVE 08 round

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(x), x) -> f(s(x), round(s(x)))
     , round(0()) -> 0()
     , round(0()) -> s(0())
     , round(s(0())) -> s(0())
     , round(s(s(x))) -> s(s(round(x)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool Small POP* (PS)

Execution Time
0.041
Answer
MAYBE
InputAProVE 08 round

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(x), x) -> f(s(x), round(s(x)))
     , round(0()) -> 0()
     , round(0()) -> s(0())
     , round(s(0())) -> s(0())
     , round(s(s(x))) -> s(s(round(x)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..