MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          a__afterNth(N,XS) -> a__snd(a__splitAt(mark(N),mark(XS)))
          a__afterNth(X1,X2) -> afterNth(X1,X2)
          a__fst(X) -> fst(X)
          a__fst(pair(XS,YS)) -> mark(XS)
          a__head(X) -> head(X)
          a__head(cons(N,XS)) -> mark(N)
          a__natsFrom(N) -> cons(mark(N),natsFrom(s(N)))
          a__natsFrom(X) -> natsFrom(X)
          a__sel(N,XS) -> a__head(a__afterNth(mark(N),mark(XS)))
          a__sel(X1,X2) -> sel(X1,X2)
          a__snd(X) -> snd(X)
          a__snd(pair(XS,YS)) -> mark(YS)
          a__splitAt(X1,X2) -> splitAt(X1,X2)
          a__splitAt(0(),XS) -> pair(nil(),mark(XS))
          a__splitAt(s(N),cons(X,XS)) -> a__u(a__splitAt(mark(N),mark(XS)),N,X,XS)
          a__tail(X) -> tail(X)
          a__tail(cons(N,XS)) -> mark(XS)
          a__take(N,XS) -> a__fst(a__splitAt(mark(N),mark(XS)))
          a__take(X1,X2) -> take(X1,X2)
          a__u(X1,X2,X3,X4) -> u(X1,X2,X3,X4)
          a__u(pair(YS,ZS),N,X,XS) -> pair(cons(mark(X),YS),mark(ZS))
          mark(0()) -> 0()
          mark(afterNth(X1,X2)) -> a__afterNth(mark(X1),mark(X2))
          mark(cons(X1,X2)) -> cons(mark(X1),X2)
          mark(fst(X)) -> a__fst(mark(X))
          mark(head(X)) -> a__head(mark(X))
          mark(natsFrom(X)) -> a__natsFrom(mark(X))
          mark(nil()) -> nil()
          mark(pair(X1,X2)) -> pair(mark(X1),mark(X2))
          mark(s(X)) -> s(mark(X))
          mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
          mark(snd(X)) -> a__snd(mark(X))
          mark(splitAt(X1,X2)) -> a__splitAt(mark(X1),mark(X2))
          mark(tail(X)) -> a__tail(mark(X))
          mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
          mark(u(X1,X2,X3,X4)) -> a__u(mark(X1),X2,X3,X4)
      - Signature:
          {a__afterNth/2,a__fst/1,a__head/1,a__natsFrom/1,a__sel/2,a__snd/1,a__splitAt/2,a__tail/1,a__take/2,a__u/4
          ,mark/1} / {0/0,afterNth/2,cons/2,fst/1,head/1,natsFrom/1,nil/0,pair/2,s/1,sel/2,snd/1,splitAt/2,tail/1
          ,take/2,u/4}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {a__afterNth,a__fst,a__head,a__natsFrom,a__sel,a__snd
          ,a__splitAt,a__tail,a__take,a__u,mark} and constructors {0,afterNth,cons,fst,head,natsFrom,nil,pair,s,sel
          ,snd,splitAt,tail,take,u}
  + Applied Processor:
      MI {miKind = Automaton Nothing, miDimension = 3, miUArgs = NoUArgs, miURules = NoURules, miSelector = Nothing}
  + Details:
      Incompatible
MAYBE