MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          active(eq(X,Y)) -> mark(false())
          active(eq(0(),0())) -> mark(true())
          active(eq(s(X),s(Y))) -> mark(eq(X,Y))
          active(inf(X)) -> inf(active(X))
          active(inf(X)) -> mark(cons(X,inf(s(X))))
          active(length(X)) -> length(active(X))
          active(length(cons(X,L))) -> mark(s(length(L)))
          active(length(nil())) -> mark(0())
          active(take(X1,X2)) -> take(X1,active(X2))
          active(take(X1,X2)) -> take(active(X1),X2)
          active(take(0(),X)) -> mark(nil())
          active(take(s(X),cons(Y,L))) -> mark(cons(Y,take(X,L)))
          any(X) -> s(X)
          any(proper(X)) -> any(any(any(X)))
          cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
          eq(ok(X1),ok(X2)) -> ok(eq(X1,X2))
          inf(mark(X)) -> mark(inf(X))
          inf(ok(X)) -> ok(inf(X))
          length(mark(X)) -> mark(length(X))
          length(ok(X)) -> ok(length(X))
          proper(0()) -> ok(0())
          proper(cons(any(X1),X2)) -> cons(any(any(proper(X1))),any(proper(X2)))
          proper(eq(X1,X2)) -> eq(proper(X1),proper(X2))
          proper(false()) -> ok(false())
          proper(inf(X)) -> inf(proper(X))
          proper(length(X)) -> length(proper(X))
          proper(nil()) -> ok(nil())
          proper(s(X)) -> s(proper(X))
          proper(take(X1,X2)) -> take(proper(X1),proper(X2))
          proper(true()) -> ok(true())
          s(ok(X)) -> ok(s(X))
          take(X1,mark(X2)) -> mark(take(X1,X2))
          take(mark(X1),X2) -> mark(take(X1,X2))
          take(ok(X1),ok(X2)) -> ok(take(X1,X2))
          top(mark(X)) -> top(proper(X))
          top(ok(X)) -> top(active(X))
      - Signature:
          {active/1,any/1,cons/2,eq/2,inf/1,length/1,proper/1,s/1,take/2,top/1} / {0/0,false/0,mark/1,nil/0,ok/1
          ,true/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {active,any,cons,eq,inf,length,proper,s,take
          ,top} and constructors {0,false,mark,nil,ok,true}
  + Applied Processor:
      NaturalMI {miDimension = 3, miDegree = 3, miKind = Algebraic, uargs = UArgs, urules = URules, selector = Nothing}
  + Details:
      Incompatible
MAYBE