Problem AProVE 10 ex1

LMPO

Execution Time (secs)
0.043
Answer
MAYBE
InputAProVE 10 ex1
MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(x, y) -> cond(lt(x, y), x, y)
     , cond(tt(), x, y) -> f(s(x), s(y))
     , lt(0(), y) -> tt()
     , lt(s(x), s(y)) -> lt(x, y)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

MPO

Execution Time (secs)
0.044
Answer
MAYBE
InputAProVE 10 ex1
MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(x, y) -> cond(lt(x, y), x, y)
     , cond(tt(), x, y) -> f(s(x), s(y))
     , lt(0(), y) -> tt()
     , lt(s(x), s(y)) -> lt(x, y)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

POP*

Execution Time (secs)
0.046
Answer
MAYBE
InputAProVE 10 ex1
MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(x, y) -> cond(lt(x, y), x, y)
     , cond(tt(), x, y) -> f(s(x), s(y))
     , lt(0(), y) -> tt()
     , lt(s(x), s(y)) -> lt(x, y)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

POP* (PS)

Execution Time (secs)
0.041
Answer
MAYBE
InputAProVE 10 ex1
MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(x, y) -> cond(lt(x, y), x, y)
     , cond(tt(), x, y) -> f(s(x), s(y))
     , lt(0(), y) -> tt()
     , lt(s(x), s(y)) -> lt(x, y)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Small POP*

Execution Time (secs)
0.046
Answer
MAYBE
InputAProVE 10 ex1
MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(x, y) -> cond(lt(x, y), x, y)
     , cond(tt(), x, y) -> f(s(x), s(y))
     , lt(0(), y) -> tt()
     , lt(s(x), s(y)) -> lt(x, y)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Small POP* (PS)

Execution Time (secs)
0.040
Answer
MAYBE
InputAProVE 10 ex1
MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(x, y) -> cond(lt(x, y), x, y)
     , cond(tt(), x, y) -> f(s(x), s(y))
     , lt(0(), y) -> tt()
     , lt(s(x), s(y)) -> lt(x, y)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..