Tool LMPO
stdout:
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..
Tool MPO
stdout:
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..
Tool POP*
stdout:
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..
Tool POP* (PS)
stdout:
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..
Tool Small POP*
stdout:
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..
Tool Small POP* (PS)
stdout:
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..