MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          a__and(X1,X2) -> and(X1,X2)
          a__and(tt(),T) -> mark(T)
          a__isNat(X) -> isNat(X)
          a__isNat(0()) -> tt()
          a__isNat(length(L)) -> a__isNatList(L)
          a__isNat(s(N)) -> a__isNat(N)
          a__isNatIList(IL) -> a__isNatList(IL)
          a__isNatIList(X) -> isNatIList(X)
          a__isNatIList(cons(N,IL)) -> a__and(a__isNat(N),a__isNatIList(IL))
          a__isNatIList(zeros()) -> tt()
          a__isNatList(X) -> isNatList(X)
          a__isNatList(cons(N,L)) -> a__and(a__isNat(N),a__isNatList(L))
          a__isNatList(nil()) -> tt()
          a__isNatList(take(N,IL)) -> a__and(a__isNat(N),a__isNatIList(IL))
          a__length(X) -> length(X)
          a__length(cons(N,L)) -> a__uLength(a__and(a__isNat(N),a__isNatList(L)),L)
          a__take(X1,X2) -> take(X1,X2)
          a__take(0(),IL) -> a__uTake1(a__isNatIList(IL))
          a__take(s(M),cons(N,IL)) -> a__uTake2(a__and(a__isNat(M),a__and(a__isNat(N),a__isNatIList(IL))),M,N,IL)
          a__uLength(X1,X2) -> uLength(X1,X2)
          a__uLength(tt(),L) -> s(a__length(mark(L)))
          a__uTake1(X) -> uTake1(X)
          a__uTake1(tt()) -> nil()
          a__uTake2(X1,X2,X3,X4) -> uTake2(X1,X2,X3,X4)
          a__uTake2(tt(),M,N,IL) -> cons(mark(N),take(M,IL))
          a__zeros() -> cons(0(),zeros())
          a__zeros() -> zeros()
          mark(0()) -> 0()
          mark(and(X1,X2)) -> a__and(mark(X1),mark(X2))
          mark(cons(X1,X2)) -> cons(mark(X1),X2)
          mark(isNat(X)) -> a__isNat(X)
          mark(isNatIList(X)) -> a__isNatIList(X)
          mark(isNatList(X)) -> a__isNatList(X)
          mark(length(X)) -> a__length(mark(X))
          mark(nil()) -> nil()
          mark(s(X)) -> s(mark(X))
          mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
          mark(tt()) -> tt()
          mark(uLength(X1,X2)) -> a__uLength(mark(X1),X2)
          mark(uTake1(X)) -> a__uTake1(mark(X))
          mark(uTake2(X1,X2,X3,X4)) -> a__uTake2(mark(X1),X2,X3,X4)
          mark(zeros()) -> a__zeros()
      - Signature:
          {a__and/2,a__isNat/1,a__isNatIList/1,a__isNatList/1,a__length/1,a__take/2,a__uLength/2,a__uTake1/1
          ,a__uTake2/4,a__zeros/0,mark/1} / {0/0,and/2,cons/2,isNat/1,isNatIList/1,isNatList/1,length/1,nil/0,s/1
          ,take/2,tt/0,uLength/2,uTake1/1,uTake2/4,zeros/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {a__and,a__isNat,a__isNatIList,a__isNatList,a__length
          ,a__take,a__uLength,a__uTake1,a__uTake2,a__zeros,mark} and constructors {0,and,cons,isNat,isNatIList
          ,isNatList,length,nil,s,take,tt,uLength,uTake1,uTake2,zeros}
  + Applied Processor:
      MI {miKind = Automaton Nothing, miDimension = 3, miUArgs = NoUArgs, miURules = NoURules, miSelector = Nothing}
  + Details:
      Incompatible
MAYBE