MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          0() -> n__0()
          activate(X) -> X
          activate(n__0()) -> 0()
          activate(n__cons(X1,X2)) -> cons(activate(X1),X2)
          activate(n__first(X1,X2)) -> first(activate(X1),activate(X2))
          activate(n__from(X)) -> from(activate(X))
          activate(n__nil()) -> nil()
          activate(n__s(X)) -> s(activate(X))
          activate(n__sel(X1,X2)) -> sel(activate(X1),activate(X2))
          cons(X1,X2) -> n__cons(X1,X2)
          fcons(X,Z) -> cons(X,Z)
          first(X1,X2) -> n__first(X1,X2)
          first(0(),Z) -> nil()
          first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z)))
          first1(0(),Z) -> nil1()
          first1(s(X),cons(Y,Z)) -> cons1(quote(Y),first1(X,activate(Z)))
          from(X) -> cons(X,n__from(n__s(X)))
          from(X) -> n__from(X)
          nil() -> n__nil()
          quote(n__0()) -> 01()
          quote(n__s(X)) -> s1(quote(activate(X)))
          quote(n__sel(X,Z)) -> sel1(activate(X),activate(Z))
          quote1(n__cons(X,Z)) -> cons1(quote(activate(X)),quote1(activate(Z)))
          quote1(n__first(X,Z)) -> first1(activate(X),activate(Z))
          quote1(n__nil()) -> nil1()
          s(X) -> n__s(X)
          sel(X1,X2) -> n__sel(X1,X2)
          sel(0(),cons(X,Z)) -> X
          sel(s(X),cons(Y,Z)) -> sel(X,activate(Z))
          sel1(0(),cons(X,Z)) -> quote(X)
          sel1(s(X),cons(Y,Z)) -> sel1(X,activate(Z))
          unquote(01()) -> 0()
          unquote(s1(X)) -> s(unquote(X))
          unquote1(cons1(X,Z)) -> fcons(unquote(X),unquote1(Z))
          unquote1(nil1()) -> nil()
      - Signature:
          {0/0,activate/1,cons/2,fcons/2,first/2,first1/2,from/1,nil/0,quote/1,quote1/1,s/1,sel/2,sel1/2,unquote/1
          ,unquote1/1} / {01/0,cons1/2,n__0/0,n__cons/2,n__first/2,n__from/1,n__nil/0,n__s/1,n__sel/2,nil1/0,s1/1}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {0,activate,cons,fcons,first,first1,from,nil,quote,quote1
          ,s,sel,sel1,unquote,unquote1} and constructors {01,cons1,n__0,n__cons,n__first,n__from,n__nil,n__s,n__sel
          ,nil1,s1}
  + Applied Processor:
      NaturalPI {shape = Mixed 3, restrict = NoRestrict, uargs = UArgs, urules = URules, selector = Nothing}
  + Details:
      Incompatible
MAYBE