MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          active(cons(X1,X2)) -> cons(active(X1),X2)
          active(cons1(X1,X2)) -> cons1(X1,active(X2))
          active(cons1(X1,X2)) -> cons1(active(X1),X2)
          active(fcons(X,Z)) -> mark(cons(X,Z))
          active(fcons(X1,X2)) -> fcons(X1,active(X2))
          active(fcons(X1,X2)) -> fcons(active(X1),X2)
          active(first(X1,X2)) -> first(X1,active(X2))
          active(first(X1,X2)) -> first(active(X1),X2)
          active(first(0(),Z)) -> mark(nil())
          active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z)))
          active(first1(X1,X2)) -> first1(X1,active(X2))
          active(first1(X1,X2)) -> first1(active(X1),X2)
          active(first1(0(),Z)) -> mark(nil1())
          active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z)))
          active(from(X)) -> from(active(X))
          active(from(X)) -> mark(cons(X,from(s(X))))
          active(quote(0())) -> mark(01())
          active(quote(s(X))) -> mark(s1(quote(X)))
          active(quote(sel(X,Z))) -> mark(sel1(X,Z))
          active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z)))
          active(quote1(first(X,Z))) -> mark(first1(X,Z))
          active(quote1(nil())) -> mark(nil1())
          active(s(X)) -> s(active(X))
          active(s1(X)) -> s1(active(X))
          active(sel(X1,X2)) -> sel(X1,active(X2))
          active(sel(X1,X2)) -> sel(active(X1),X2)
          active(sel(0(),cons(X,Z))) -> mark(X)
          active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z))
          active(sel1(X1,X2)) -> sel1(X1,active(X2))
          active(sel1(X1,X2)) -> sel1(active(X1),X2)
          active(sel1(0(),cons(X,Z))) -> mark(quote(X))
          active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z))
          active(unquote(X)) -> unquote(active(X))
          active(unquote(01())) -> mark(0())
          active(unquote(s1(X))) -> mark(s(unquote(X)))
          active(unquote1(X)) -> unquote1(active(X))
          active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z)))
          active(unquote1(nil1())) -> mark(nil())
          cons(mark(X1),X2) -> mark(cons(X1,X2))
          cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
          cons1(X1,mark(X2)) -> mark(cons1(X1,X2))
          cons1(mark(X1),X2) -> mark(cons1(X1,X2))
          cons1(ok(X1),ok(X2)) -> ok(cons1(X1,X2))
          fcons(X1,mark(X2)) -> mark(fcons(X1,X2))
          fcons(mark(X1),X2) -> mark(fcons(X1,X2))
          fcons(ok(X1),ok(X2)) -> ok(fcons(X1,X2))
          first(X1,mark(X2)) -> mark(first(X1,X2))
          first(mark(X1),X2) -> mark(first(X1,X2))
          first(ok(X1),ok(X2)) -> ok(first(X1,X2))
          first1(X1,mark(X2)) -> mark(first1(X1,X2))
          first1(mark(X1),X2) -> mark(first1(X1,X2))
          first1(ok(X1),ok(X2)) -> ok(first1(X1,X2))
          from(mark(X)) -> mark(from(X))
          from(ok(X)) -> ok(from(X))
          proper(0()) -> ok(0())
          proper(01()) -> ok(01())
          proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
          proper(cons1(X1,X2)) -> cons1(proper(X1),proper(X2))
          proper(fcons(X1,X2)) -> fcons(proper(X1),proper(X2))
          proper(first(X1,X2)) -> first(proper(X1),proper(X2))
          proper(first1(X1,X2)) -> first1(proper(X1),proper(X2))
          proper(from(X)) -> from(proper(X))
          proper(nil()) -> ok(nil())
          proper(nil1()) -> ok(nil1())
          proper(quote(X)) -> quote(proper(X))
          proper(quote1(X)) -> quote1(proper(X))
          proper(s(X)) -> s(proper(X))
          proper(s1(X)) -> s1(proper(X))
          proper(sel(X1,X2)) -> sel(proper(X1),proper(X2))
          proper(sel1(X1,X2)) -> sel1(proper(X1),proper(X2))
          proper(unquote(X)) -> unquote(proper(X))
          proper(unquote1(X)) -> unquote1(proper(X))
          quote(ok(X)) -> ok(quote(X))
          quote1(ok(X)) -> ok(quote1(X))
          s(mark(X)) -> mark(s(X))
          s(ok(X)) -> ok(s(X))
          s1(mark(X)) -> mark(s1(X))
          s1(ok(X)) -> ok(s1(X))
          sel(X1,mark(X2)) -> mark(sel(X1,X2))
          sel(mark(X1),X2) -> mark(sel(X1,X2))
          sel(ok(X1),ok(X2)) -> ok(sel(X1,X2))
          sel1(X1,mark(X2)) -> mark(sel1(X1,X2))
          sel1(mark(X1),X2) -> mark(sel1(X1,X2))
          sel1(ok(X1),ok(X2)) -> ok(sel1(X1,X2))
          top(mark(X)) -> top(proper(X))
          top(ok(X)) -> top(active(X))
          unquote(mark(X)) -> mark(unquote(X))
          unquote(ok(X)) -> ok(unquote(X))
          unquote1(mark(X)) -> mark(unquote1(X))
          unquote1(ok(X)) -> ok(unquote1(X))
      - Signature:
          {active/1,cons/2,cons1/2,fcons/2,first/2,first1/2,from/1,proper/1,quote/1,quote1/1,s/1,s1/1,sel/2,sel1/2
          ,top/1,unquote/1,unquote1/1} / {0/0,01/0,mark/1,nil/0,nil1/0,ok/1}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {active,cons,cons1,fcons,first,first1,from,proper,quote
          ,quote1,s,s1,sel,sel1,top,unquote,unquote1} and constructors {0,01,mark,nil,nil1,ok}
  + Applied Processor:
      MI {miKind = Automaton Nothing, miDimension = 3, miUArgs = NoUArgs, miURules = NoURules, miSelector = Nothing}
  + Details:
      Incompatible
MAYBE