/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


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