- : unit = ()
h : heuristic = <heuristic>
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)

TRS termination of:
[1] filter(cons(X),0,M) -> cons(0)
[2] filter(cons(X),s(N),M) -> cons(X)
[3] sieve(cons(0)) -> cons(0)
[4] sieve(cons(s(N))) -> cons(s(N))
[5] nats(N) -> cons(N)
[6] zprimes -> sieve(nats(s(s(0))))


Sub problem: 
guided: 

DP termination of:
<Marked_zprimes , Marked_sieve(nats(s(s(0))))>
<Marked_zprimes , Marked_nats(s(s(0)))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] filter(cons(X),0,M) -> cons(0)
[2] filter(cons(X),s(N),M) -> cons(X)
[3] sieve(cons(0)) -> cons(0)
[4] sieve(cons(s(N))) -> cons(s(N))
[5] nats(N) -> cons(N)
[6] zprimes -> sieve(nats(s(s(0))))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_zprimes , Marked_sieve(nats(s(s(0))))>
<Marked_zprimes , Marked_nats(s(s(0)))>
 ,
 CRITERION: SG
 [  ]} 
 ]} 

Cime worked for 0.001646 seconds (real time)
Cime Exit Status: 0