Time: 5.012265
TRS:
{ f x -> Cond_f(greater_int(x, x), x),
Cond_f(true(), x) -> f x,
greater_int(pos 0(), pos 0()) -> false(),
greater_int(pos 0(), pos s y) -> false(),
greater_int(pos 0(), neg 0()) -> false(),
greater_int(pos 0(), neg s y) -> true(),
greater_int(pos s x, pos 0()) -> true(),
greater_int(pos s x, pos s y) -> greater_int(pos x, pos y),
greater_int(pos s x, neg 0()) -> true(),
greater_int(pos s x, neg s y) -> true(),
greater_int(neg 0(), pos 0()) -> false(),
greater_int(neg 0(), pos s y) -> false(),
greater_int(neg 0(), neg 0()) -> false(),
greater_int(neg 0(), neg s y) -> true(),
greater_int(neg s x, pos 0()) -> false(),
greater_int(neg s x, pos s y) -> false(),
greater_int(neg s x, neg 0()) -> false(),
greater_int(neg s x, neg s y) -> greater_int(neg x, neg y)}
SRS: We consider a TRS.
Trs:
{ f x -> Cond_f(greater_int(x, x), x),
Cond_f(true(), x) -> f x,
greater_int(pos 0(), pos 0()) -> false(),
greater_int(pos 0(), pos s y) -> false(),
greater_int(pos 0(), neg 0()) -> false(),
greater_int(pos 0(), neg s y) -> true(),
greater_int(pos s x, pos 0()) -> true(),
greater_int(pos s x, pos s y) -> greater_int(pos x, pos y),
greater_int(pos s x, neg 0()) -> true(),
greater_int(pos s x, neg s y) -> true(),
greater_int(neg 0(), pos 0()) -> false(),
greater_int(neg 0(), pos s y) -> false(),
greater_int(neg 0(), neg 0()) -> false(),
greater_int(neg 0(), neg s y) -> true(),
greater_int(neg s x, pos 0()) -> false(),
greater_int(neg s x, pos s y) -> false(),
greater_int(neg s x, neg 0()) -> false(),
greater_int(neg s x, neg s y) -> greater_int(neg x, neg y)}
Fail