/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: filter(cons(X,Y),0(),M) -> cons(0(),n__filter(activate(Y),M,M))
    2: filter(cons(X,Y),s(N),M) -> cons(X,n__filter(activate(Y),N,M))
    3: sieve(cons(0(),Y)) -> cons(0(),n__sieve(activate(Y)))
    4: sieve(cons(s(N),Y)) -> cons(s(N),n__sieve(n__filter(activate(Y),N,N)))
    5: nats(N) -> cons(N,n__nats(n__s(N)))
    6: zprimes() -> sieve(nats(s(s(0()))))
    7: filter(X1,X2,X3) -> n__filter(X1,X2,X3)
    8: sieve(X) -> n__sieve(X)
    9: nats(X) -> n__nats(X)
    10: s(X) -> n__s(X)
    11: activate(n__filter(X1,X2,X3)) -> filter(activate(X1),activate(X2),activate(X3))
    12: activate(n__sieve(X)) -> sieve(activate(X))
    13: activate(n__nats(X)) -> nats(activate(X))
    14: activate(n__s(X)) -> s(activate(X))
    15: activate(X) -> X
Number of strict rules: 15
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #filter(cons(X,Y),s(N),M) -> #activate(Y)
   #2: #zprimes() -> #sieve(nats(s(s(0()))))
   #3: #zprimes() -> #nats(s(s(0())))
   #4: #zprimes() -> #s(s(0()))
   #5: #zprimes() -> #s(0())
   #6: #activate(n__nats(X)) -> #nats(activate(X))
   #7: #activate(n__nats(X)) -> #activate(X)
   #8: #activate(n__filter(X1,X2,X3)) -> #filter(activate(X1),activate(X2),activate(X3))
   #9: #activate(n__filter(X1,X2,X3)) -> #activate(X1)
   #10: #activate(n__filter(X1,X2,X3)) -> #activate(X2)
   #11: #activate(n__filter(X1,X2,X3)) -> #activate(X3)
   #12: #activate(n__sieve(X)) -> #sieve(activate(X))
   #13: #activate(n__sieve(X)) -> #activate(X)
   #14: #activate(n__s(X)) -> #s(activate(X))
   #15: #activate(n__s(X)) -> #activate(X)
   #16: #sieve(cons(0(),Y)) -> #activate(Y)
   #17: #filter(cons(X,Y),0(),M) -> #activate(Y)
   #18: #sieve(cons(s(N),Y)) -> #activate(Y)
Number of SCCs: 1, DPs: 12
  SCC { #1 #7..13 #15..18 }
POLO(Sum)... POLO(max)... succeeded.
      zprimes	w: 0
      #nats	w: 0
      s 	w: x1
      activate	w: x1
      #filter	w: max(x1 + 1)
      #activate	w: x1 + 1
      #zprimes	w: 0
      n__nats	w: x1 + 4
      n__s	w: x1
      0 	w: 0
      #s 	w: 0
      n__filter	w: max(x1, x2 + 1, x3 + 2)
      sieve	w: x1 + 2
      n__sieve	w: x1 + 2
      nats	w: x1 + 4
      cons	w: max(x1 + 4, x2)
      filter	w: max(x1, x2 + 1, x3 + 2)
      #sieve	w: x1 + 2
    USABLE RULES: { 1..5 7..15 }
    Removed DPs: #7 #10..13 #16 #18
Number of SCCs: 1, DPs: 5
  SCC { #1 #8 #9 #15 #17 }
POLO(Sum)... succeeded.
      zprimes	w: 0
      #nats	w: 0
      s 	w: x1 + 1
      activate	w: x1
      #filter	w: x1 + 1
      #activate	w: x1
      #zprimes	w: 0
      n__nats	w: 1
      n__s	w: x1 + 1
      0 	w: 1
      #s 	w: 0
      n__filter	w: x1 + 2
      sieve	w: 1
      n__sieve	w: 1
      nats	w: 1
      cons	w: x2
      filter	w: x1 + 2
      #sieve	w: 0
    USABLE RULES: { 1..5 7..15 }
    Removed DPs: #1 #8 #9 #15 #17
Number of SCCs: 0, DPs: 0