/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES
Input TRS:
    1: f(X) -> cons(X,n__f(n__g(X)))
    2: g(0()) -> s(0())
    3: g(s(X)) -> s(s(g(X)))
    4: sel(0(),cons(X,Y)) -> X
    5: sel(s(X),cons(Y,Z)) -> sel(X,activate(Z))
    6: f(X) -> n__f(X)
    7: g(X) -> n__g(X)
    8: activate(n__f(X)) -> f(activate(X))
    9: activate(n__g(X)) -> g(activate(X))
    10: activate(X) -> X
Number of strict rules: 10
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #activate(n__g(X)) -> #g(activate(X))
   #2: #activate(n__g(X)) -> #activate(X)
   #3: #sel(s(X),cons(Y,Z)) -> #sel(X,activate(Z))
   #4: #sel(s(X),cons(Y,Z)) -> #activate(Z)
   #5: #g(s(X)) -> #g(X)
   #6: #activate(n__f(X)) -> #f(activate(X))
   #7: #activate(n__f(X)) -> #activate(X)
Number of SCCs: 3, DPs: 4
	SCC { #5 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  activate(x1)		w: (0)
  #activate(x1)		w: (0)
  f(x1)		w: (0)
  0()		w: (0)
  #sel(x1,x2)		w: (0)
  sel(x1,x2)		w: (0)
  n__f(x1)		w: (0)
  #f(x1)		w: (0)
  #g(x1)		w: (x1)
  n__g(x1)		w: (0)
  cons(x1,x2)		w: (0)
  g(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #5
Number of SCCs: 2, DPs: 3
	SCC { #3 }
Sum... succeeded.
  s(x1)		w: (21241 + x1)
  activate(x1)		w: (2438 + x1)
  #activate(x1)		w: (0)
  f(x1)		w: (0)
  0()		w: (1)
  #sel(x1,x2)		w: (x1)
  sel(x1,x2)		w: (0)
  n__f(x1)		w: (1 + x1)
  #f(x1)		w: (0)
  #g(x1)		w: (0)
  n__g(x1)		w: (1)
  cons(x1,x2)		w: (1 + x2 + x1)
  g(x1)		w: (21240 + x1)
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2
	SCC { #2 #7 }
Sum... succeeded.
  s(x1)		w: (3 + x1)
  activate(x1)		w: (8366 + x1)
  #activate(x1)		w: (x1)
  f(x1)		w: (0)
  0()		w: (32286)
  #sel(x1,x2)		w: (0)
  sel(x1,x2)		w: (0)
  n__f(x1)		w: (1 + x1)
  #f(x1)		w: (0)
  #g(x1)		w: (0)
  n__g(x1)		w: (1 + x1)
  cons(x1,x2)		w: (1 + x1)
  g(x1)		w: (2 + x1)
    USABLE RULES: { }
    Removed DPs: #2 #7
Number of SCCs: 0, DPs: 0