/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: -(x,0()) -> x
    2: -(0(),s(y)) -> 0()
    3: -(s(x),s(y)) -> -(x,y)
    4: f(0()) -> 0()
    5: f(s(x)) -> -(s(x),g(f(x)))
    6: g(0()) -> s(0())
    7: g(s(x)) -> -(s(x),f(g(x)))
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #g(s(x)) -> #-(s(x),f(g(x)))
   #2: #g(s(x)) -> #f(g(x))
   #3: #g(s(x)) -> #g(x)
   #4: #f(s(x)) -> #-(s(x),g(f(x)))
   #5: #f(s(x)) -> #g(f(x))
   #6: #f(s(x)) -> #f(x)
   #7: #-(s(x),s(y)) -> #-(x,y)
Number of SCCs: 2, DPs: 5
	SCC { #7 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  f(x1)		w: (0)
  0()		w: (0)
  -(x1,x2)		w: (0)
  #f(x1)		w: (0)
  #g(x1)		w: (0)
  #-(x1,x2)		w: (x2 + x1)
  g(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #7
Number of SCCs: 1, DPs: 4
	SCC { #2 #3 #5 #6 }
Sum... succeeded.
  s(x1)		w: (2440 + x1)
  f(x1)		w: (1 + x1)
  0()		w: (0)
  -(x1,x2)		w: (x1)
  #f(x1)		w: (x1)
  #g(x1)		w: (2438 + x1)
  #-(x1,x2)		w: (0)
  g(x1)		w: (4877 + x1)
    USABLE RULES: { 1..7 }
    Removed DPs: #2 #3 #5 #6
Number of SCCs: 0, DPs: 0