MAYBE

We are left with following problem, upon which TcT provides the
certificate MAYBE.

Strict Trs:
  { filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
  , filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M))
  , sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
  , sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N)))
  , nats(N) -> cons(N, nats(s(N)))
  , zprimes() -> sieve(nats(s(s(0())))) }
Obligation:
  runtime complexity
Answer:
  MAYBE

None of the processors succeeded.

Details of failed attempt(s):
-----------------------------
1) 'WithProblem (timeout of 60 seconds)' failed due to the
   following reason:
   
   Computation stopped due to timeout after 60.0 seconds.

2) 'Best' failed due to the following reason:
   
   None of the processors succeeded.
   
   Details of failed attempt(s):
   -----------------------------
   1) 'WithProblem (timeout of 30 seconds) (timeout of 60 seconds)'
      failed due to the following reason:
      
      Computation stopped due to timeout after 30.0 seconds.
   
   2) 'Best' failed due to the following reason:
      
      None of the processors succeeded.
      
      Details of failed attempt(s):
      -----------------------------
      1) 'bsearch-popstar (timeout of 60 seconds)' failed due to the
         following reason:
         
         The processor is inapplicable, reason:
           Processor only applicable for innermost runtime complexity analysis
      
      2) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due
         to the following reason:
         
         The processor is inapplicable, reason:
           Processor only applicable for innermost runtime complexity analysis
      
   
   3) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed
      due to the following reason:
      
      None of the processors succeeded.
      
      Details of failed attempt(s):
      -----------------------------
      1) 'Bounds with perSymbol-enrichment and initial automaton 'match''
         failed due to the following reason:
         
         match-boundness of the problem could not be verified.
      
      2) 'Bounds with minimal-enrichment and initial automaton 'match''
         failed due to the following reason:
         
         match-boundness of the problem could not be verified.
      
   

3) 'Innermost Weak Dependency Pairs (timeout of 60 seconds)' failed
   due to the following reason:
   
   We add the following weak dependency pairs:
   
   Strict DPs:
     { filter^#(cons(X, Y), 0(), M) -> c_1(filter^#(Y, M, M))
     , filter^#(cons(X, Y), s(N), M) -> c_2(X, filter^#(Y, N, M))
     , sieve^#(cons(0(), Y)) -> c_3(sieve^#(Y))
     , sieve^#(cons(s(N), Y)) -> c_4(N, sieve^#(filter(Y, N, N)))
     , nats^#(N) -> c_5(N, nats^#(s(N)))
     , zprimes^#() -> c_6(sieve^#(nats(s(s(0()))))) }
   
   and mark the set of starting terms.
   
   We are left with following problem, upon which TcT provides the
   certificate MAYBE.
   
   Strict DPs:
     { filter^#(cons(X, Y), 0(), M) -> c_1(filter^#(Y, M, M))
     , filter^#(cons(X, Y), s(N), M) -> c_2(X, filter^#(Y, N, M))
     , sieve^#(cons(0(), Y)) -> c_3(sieve^#(Y))
     , sieve^#(cons(s(N), Y)) -> c_4(N, sieve^#(filter(Y, N, N)))
     , nats^#(N) -> c_5(N, nats^#(s(N)))
     , zprimes^#() -> c_6(sieve^#(nats(s(s(0()))))) }
   Strict Trs:
     { filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
     , filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M))
     , sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
     , sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N)))
     , nats(N) -> cons(N, nats(s(N)))
     , zprimes() -> sieve(nats(s(s(0())))) }
   Obligation:
     runtime complexity
   Answer:
     MAYBE
   
   Empty strict component of the problem is NOT empty.


Arrrr..