/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: f(0(x1)) -> s(0(x1))
    2: d(0(x1)) -> 0(x1)
    3: d(s(x1)) -> s(s(d(x1)))
    4: f(s(x1)) -> d(f(x1))
Number of strict rules: 4
Direct poly ... removes: 1
  d(x1)		w: (x1)
  s(x1)		w: (x1)
  f(x1)		w: (21239 + 2 * x1)
  0(x1)		w: (2438 + 2 * x1)
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #d(s(x1)) -> #d(x1)
   #2: #f(s(x1)) -> #d(f(x1))
   #3: #f(s(x1)) -> #f(x1)
Number of SCCs: 2, DPs: 2
	SCC { #3 }
Sum... succeeded.
  d(x1)		w: (0)
  s(x1)		w: (1 + x1)
  f(x1)		w: (0)
  0(x1)		w: (0)
  #d(x1)		w: (0)
  #f(x1)		w: (x1)
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... succeeded.
  d(x1)		w: (0)
  s(x1)		w: (1 + x1)
  f(x1)		w: (0)
  0(x1)		w: (0)
  #d(x1)		w: (x1)
  #f(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0