/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(filter(activate(Y),N,N)))
    5: nats(N) -> cons(N,n__nats(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: activate(n__filter(X1,X2,X3)) -> filter(X1,X2,X3)
    11: activate(n__sieve(X)) -> sieve(X)
    12: activate(n__nats(X)) -> nats(X)
    13: activate(X) -> X
Number of strict rules: 13
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: #activate(n__sieve(X)) -> #sieve(X)
   #5: #activate(n__nats(X)) -> #nats(X)
   #6: #activate(n__filter(X1,X2,X3)) -> #filter(X1,X2,X3)
   #7: #sieve(cons(0(),Y)) -> #activate(Y)
   #8: #filter(cons(X,Y),0(),M) -> #activate(Y)
   #9: #sieve(cons(s(N),Y)) -> #filter(activate(Y),N,N)
   #10: #sieve(cons(s(N),Y)) -> #activate(Y)
Number of SCCs: 1, DPs: 7
  SCC { #1 #4 #6..10 }
POLO(Sum)... succeeded.
      zprimes	w: 0
      #nats	w: 0
      s 	w: 1
      activate	w: x1
      #filter	w: x1
      #activate	w: x1
      #zprimes	w: 0
      n__nats	w: 1
      0 	w: 1
      n__filter	w: x1
      sieve	w: x1 + 2
      n__sieve	w: x1 + 2
      nats	w: 1
      cons	w: x2
      filter	w: x1
      #sieve	w: x1 + 1
    USABLE RULES: { 1..5 7..13 }
    Removed DPs: #4 #7 #9 #10
Number of SCCs: 1, DPs: 3
  SCC { #1 #6 #8 }
POLO(Sum)... succeeded.
      zprimes	w: 0
      #nats	w: 0
      s 	w: 2
      activate	w: x1 + 1
      #filter	w: x1
      #activate	w: x1
      #zprimes	w: 0
      n__nats	w: 1
      0 	w: 2
      n__filter	w: x1 + 1
      sieve	w: 3
      n__sieve	w: 2
      nats	w: 2
      cons	w: x2 + 1
      filter	w: x1 + 2
      #sieve	w: 1
    USABLE RULES: { 1..5 7..13 }
    Removed DPs: #1 #6 #8
Number of SCCs: 0, DPs: 0