MAYBE
* Step 1: Failure MAYBE
  + Considered Problem:
      - Strict TRS:
          active(cons(X1,X2)) -> cons(active(X1),X2)
          active(filter(X1,X2,X3)) -> filter(X1,X2,active(X3))
          active(filter(X1,X2,X3)) -> filter(X1,active(X2),X3)
          active(filter(X1,X2,X3)) -> filter(active(X1),X2,X3)
          active(filter(cons(X,Y),0(),M)) -> mark(cons(0(),filter(Y,M,M)))
          active(filter(cons(X,Y),s(N),M)) -> mark(cons(X,filter(Y,N,M)))
          active(nats(N)) -> mark(cons(N,nats(s(N))))
          active(nats(X)) -> nats(active(X))
          active(s(X)) -> s(active(X))
          active(sieve(X)) -> sieve(active(X))
          active(sieve(cons(0(),Y))) -> mark(cons(0(),sieve(Y)))
          active(sieve(cons(s(N),Y))) -> mark(cons(s(N),sieve(filter(Y,N,N))))
          active(zprimes()) -> mark(sieve(nats(s(s(0())))))
          cons(mark(X1),X2) -> mark(cons(X1,X2))
          cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
          filter(X1,X2,mark(X3)) -> mark(filter(X1,X2,X3))
          filter(X1,mark(X2),X3) -> mark(filter(X1,X2,X3))
          filter(mark(X1),X2,X3) -> mark(filter(X1,X2,X3))
          filter(ok(X1),ok(X2),ok(X3)) -> ok(filter(X1,X2,X3))
          nats(mark(X)) -> mark(nats(X))
          nats(ok(X)) -> ok(nats(X))
          proper(0()) -> ok(0())
          proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
          proper(filter(X1,X2,X3)) -> filter(proper(X1),proper(X2),proper(X3))
          proper(nats(X)) -> nats(proper(X))
          proper(s(X)) -> s(proper(X))
          proper(sieve(X)) -> sieve(proper(X))
          proper(zprimes()) -> ok(zprimes())
          s(mark(X)) -> mark(s(X))
          s(ok(X)) -> ok(s(X))
          sieve(mark(X)) -> mark(sieve(X))
          sieve(ok(X)) -> ok(sieve(X))
          top(mark(X)) -> top(proper(X))
          top(ok(X)) -> top(active(X))
      - Signature:
          {active/1,cons/2,filter/3,nats/1,proper/1,s/1,sieve/1,top/1} / {0/0,mark/1,ok/1,zprimes/0}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {active,cons,filter,nats,proper,s,sieve
          ,top} and constructors {0,mark,ok,zprimes}
  + Applied Processor:
      NaturalMI {miDimension = 3, miDegree = 3, miKind = Algebraic, uargs = UArgs, urules = URules, selector = Nothing}
  + Details:
      Incompatible
MAYBE