/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 poly ... failed.
Freezing ... 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 }
Sum... succeeded.
  zprimes()		w: (0)
  #nats(x1)		w: (0)
  s(x1)		w: (5854)
  activate(x1)		w: (x1)
  #filter(x1,x2,x3)		w: (32285 + x1)
  #activate(x1)		w: (32285 + x1)
  #zprimes()		w: (0)
  n__nats(x1)		w: (30613)
  0()		w: (1)
  n__filter(x1,x2,x3)		w: (x1)
  sieve(x1)		w: (10452 + x1)
  n__sieve(x1)		w: (10452 + x1)
  nats(x1)		w: (30613)
  cons(x1,x2)		w: (x2)
  filter(x1,x2,x3)		w: (x1)
  #sieve(x1)		w: (42736 + x1)
    USABLE RULES: { 1..5 7..13 }
    Removed DPs: #4 #7 #9 #10
Number of SCCs: 1, DPs: 3
	SCC { #1 #6 #8 }
Sum... succeeded.
  zprimes()		w: (0)
  #nats(x1)		w: (0)
  s(x1)		w: (1)
  activate(x1)		w: (x1)
  #filter(x1,x2,x3)		w: (46884 + x1)
  #activate(x1)		w: (46883 + x1)
  #zprimes()		w: (0)
  n__nats(x1)		w: (21656)
  0()		w: (1)
  n__filter(x1,x2,x3)		w: (31893 + x1)
  sieve(x1)		w: (10452)
  n__sieve(x1)		w: (10452)
  nats(x1)		w: (21656)
  cons(x1,x2)		w: (x2)
  filter(x1,x2,x3)		w: (31893 + x1)
  #sieve(x1)		w: (42736)
    USABLE RULES: { 1..5 7..13 }
    Removed DPs: #1 #6 #8
Number of SCCs: 0, DPs: 0