MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          active(and(X1,X2)) -> and(active(X1),X2)
          active(and(tt(),X)) -> mark(X)
          active(cons(X1,X2)) -> cons(active(X1),X2)
          active(length(X)) -> length(active(X))
          active(length(cons(N,L))) -> mark(s(length(L)))
          active(length(nil())) -> mark(0())
          active(s(X)) -> s(active(X))
          active(take(X1,X2)) -> take(X1,active(X2))
          active(take(X1,X2)) -> take(active(X1),X2)
          active(take(0(),IL)) -> mark(nil())
          active(take(s(M),cons(N,IL))) -> mark(cons(N,take(M,IL)))
          active(zeros()) -> mark(cons(0(),zeros()))
          and(mark(X1),X2) -> mark(and(X1,X2))
          and(ok(X1),ok(X2)) -> ok(and(X1,X2))
          cons(mark(X1),X2) -> mark(cons(X1,X2))
          cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
          length(mark(X)) -> mark(length(X))
          length(ok(X)) -> ok(length(X))
          proper(0()) -> ok(0())
          proper(and(X1,X2)) -> and(proper(X1),proper(X2))
          proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
          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(tt()) -> ok(tt())
          proper(zeros()) -> ok(zeros())
          s(mark(X)) -> mark(s(X))
          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,and/2,cons/2,length/1,proper/1,s/1,take/2,top/1} / {0/0,mark/1,nil/0,ok/1,tt/0,zeros/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {active,and,cons,length,proper,s,take
          ,top} and constructors {0,mark,nil,ok,tt,zeros}
  + Applied Processor:
      Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT}
  + Details:
      The input can not be schown compatible.
MAYBE