TIMEOUT

We are left with following problem, upon which TcT provides the
certificate TIMEOUT.

Strict Trs:
  { lt(0(), s(X)) -> true()
  , lt(s(X), 0()) -> false()
  , lt(s(X), s(Y)) -> lt(X, Y)
  , append(nil(), Y) -> Y
  , append(add(N, X), Y) -> add(N, append(X, Y))
  , split(N, nil()) -> pair(nil(), nil())
  , split(N, add(M, Y)) -> f_1(split(N, Y), N, M, Y)
  , f_1(pair(X, Z), N, M, Y) -> f_2(lt(N, M), N, M, Y, X, Z)
  , f_2(true(), N, M, Y, X, Z) -> pair(X, add(M, Z))
  , f_2(false(), N, M, Y, X, Z) -> pair(add(M, X), Z)
  , qsort(nil()) -> nil()
  , qsort(add(N, X)) -> f_3(split(N, X), N, X)
  , f_3(pair(Y, Z), N, X) -> append(qsort(Y), add(X, qsort(Z))) }
Obligation:
  innermost runtime complexity
Answer:
  TIMEOUT

Computation stopped due to timeout after 10.0 seconds.

Arrrr..