MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          a__dbl(X) -> dbl(X)
          a__dbl(0()) -> 0()
          a__dbl(s(X)) -> s(s(dbl(X)))
          a__dbl1(X) -> dbl1(X)
          a__dbl1(0()) -> 01()
          a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
          a__dbls(X) -> dbls(X)
          a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y))
          a__dbls(nil()) -> nil()
          a__from(X) -> cons(X,from(s(X)))
          a__from(X) -> from(X)
          a__indx(X1,X2) -> indx(X1,X2)
          a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z))
          a__indx(nil(),X) -> nil()
          a__quote(X) -> quote(X)
          a__quote(0()) -> 01()
          a__quote(dbl(X)) -> a__dbl1(mark(X))
          a__quote(s(X)) -> s1(a__quote(mark(X)))
          a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y))
          a__sel(X1,X2) -> sel(X1,X2)
          a__sel(0(),cons(X,Y)) -> mark(X)
          a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
          a__sel1(X1,X2) -> sel1(X1,X2)
          a__sel1(0(),cons(X,Y)) -> mark(X)
          a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
          mark(0()) -> 0()
          mark(01()) -> 01()
          mark(cons(X1,X2)) -> cons(X1,X2)
          mark(dbl(X)) -> a__dbl(mark(X))
          mark(dbl1(X)) -> a__dbl1(mark(X))
          mark(dbls(X)) -> a__dbls(mark(X))
          mark(from(X)) -> a__from(X)
          mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
          mark(nil()) -> nil()
          mark(quote(X)) -> a__quote(mark(X))
          mark(s(X)) -> s(X)
          mark(s1(X)) -> s1(mark(X))
          mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
          mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
      - Signature:
          {a__dbl/1,a__dbl1/1,a__dbls/1,a__from/1,a__indx/2,a__quote/1,a__sel/2,a__sel1/2,mark/1} / {0/0,01/0,cons/2
          ,dbl/1,dbl1/1,dbls/1,from/1,indx/2,nil/0,quote/1,s/1,s1/1,sel/2,sel1/2}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {a__dbl,a__dbl1,a__dbls,a__from,a__indx,a__quote,a__sel
          ,a__sel1,mark} and constructors {0,01,cons,dbl,dbl1,dbls,from,indx,nil,quote,s,s1,sel,sel1}
  + Applied Processor:
      MI {miKind = Automaton Nothing, miDimension = 3, miUArgs = NoUArgs, miURules = NoURules, miSelector = Nothing}
  + Details:
      Incompatible
MAYBE