Problem GTSSK07 cade09

Tool LMPO

Execution Time
0.048
Answer
MAYBE
InputGTSSK07 cade09

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(true(), x, y) -> f(gt(x, y), x, round(s(y)))
     , round(0()) -> 0()
     , round(s(0())) -> s(s(0()))
     , round(s(s(x))) -> s(s(round(x)))
     , gt(0(), v) -> false()
     , gt(s(u), 0()) -> true()
     , gt(s(u), s(v)) -> gt(u, v)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool MPO

Execution Time
0.068
Answer
MAYBE
InputGTSSK07 cade09

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(true(), x, y) -> f(gt(x, y), x, round(s(y)))
     , round(0()) -> 0()
     , round(s(0())) -> s(s(0()))
     , round(s(s(x))) -> s(s(round(x)))
     , gt(0(), v) -> false()
     , gt(s(u), 0()) -> true()
     , gt(s(u), s(v)) -> gt(u, v)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool POP*

Execution Time
0.056
Answer
MAYBE
InputGTSSK07 cade09

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(true(), x, y) -> f(gt(x, y), x, round(s(y)))
     , round(0()) -> 0()
     , round(s(0())) -> s(s(0()))
     , round(s(s(x))) -> s(s(round(x)))
     , gt(0(), v) -> false()
     , gt(s(u), 0()) -> true()
     , gt(s(u), s(v)) -> gt(u, v)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool POP* (PS)

Execution Time
0.098
Answer
MAYBE
InputGTSSK07 cade09

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(true(), x, y) -> f(gt(x, y), x, round(s(y)))
     , round(0()) -> 0()
     , round(s(0())) -> s(s(0()))
     , round(s(s(x))) -> s(s(round(x)))
     , gt(0(), v) -> false()
     , gt(s(u), 0()) -> true()
     , gt(s(u), s(v)) -> gt(u, v)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool Small POP*

Execution Time
0.051
Answer
MAYBE
InputGTSSK07 cade09

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(true(), x, y) -> f(gt(x, y), x, round(s(y)))
     , round(0()) -> 0()
     , round(s(0())) -> s(s(0()))
     , round(s(s(x))) -> s(s(round(x)))
     , gt(0(), v) -> false()
     , gt(s(u), 0()) -> true()
     , gt(s(u), s(v)) -> gt(u, v)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool Small POP* (PS)

Execution Time
0.081
Answer
MAYBE
InputGTSSK07 cade09

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(true(), x, y) -> f(gt(x, y), x, round(s(y)))
     , round(0()) -> 0()
     , round(s(0())) -> s(s(0()))
     , round(s(s(x))) -> s(s(round(x)))
     , gt(0(), v) -> false()
     , gt(s(u), 0()) -> true()
     , gt(s(u), s(v)) -> gt(u, v)}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..