/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: sum(0()) -> 0()
    2: sum(s(x)) -> +(sum(x),s(x))
    3: sum1(0()) -> 0()
    4: sum1(s(x)) -> s(+(sum1(x),+(x,x)))
Number of strict rules: 4
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #sum(s(x)) -> #sum(x)
   #2: #sum1(s(x)) -> #sum1(x)
Number of SCCs: 2, DPs: 2
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  sum(x1)		w: (0)
  0()		w: (0)
  #sum1(x1)		w: (0)
  +(x1,x2)		w: (0)
  #sum(x1)		w: (x1)
  sum1(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  sum(x1)		w: (0)
  0()		w: (0)
  #sum1(x1)		w: (x1)
  +(x1,x2)		w: (0)
  #sum(x1)		w: (0)
  sum1(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0