/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: +(x,0()) -> x
    2: +(x,i(x)) -> 0()
    3: +(+(x,y),z) -> +(x,+(y,z))
    4: *(x,+(y,z)) -> +(*(x,y),*(x,z))
    5: *(+(x,y),z) -> +(*(x,z),*(y,z))
Number of strict rules: 5
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #*(+(x,y),z) -> #+(*(x,z),*(y,z))
   #2: #*(+(x,y),z) -> #*(x,z)
   #3: #*(+(x,y),z) -> #*(y,z)
   #4: #+(+(x,y),z) -> #+(x,+(y,z))
   #5: #+(+(x,y),z) -> #+(y,z)
   #6: #*(x,+(y,z)) -> #+(*(x,y),*(x,z))
   #7: #*(x,+(y,z)) -> #*(x,y)
   #8: #*(x,+(y,z)) -> #*(x,z)
Number of SCCs: 2, DPs: 6
	SCC { #4 #5 }
Sum... succeeded.
  #*(x1,x2)		w: (0)
  0()		w: (7722)
  i(x1)		w: (7720)
  +(x1,x2)		w: (1 + x2 + x1)
  #+(x1,x2)		w: (x1)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4 #5
Number of SCCs: 1, DPs: 4
	SCC { #2 #3 #7 #8 }
Sum... succeeded.
  #*(x1,x2)		w: (x1)
  0()		w: (21241)
  i(x1)		w: (1)
  +(x1,x2)		w: (21239 + x2 + x1)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2 #3
Number of SCCs: 1, DPs: 2
	SCC { #7 #8 }
Sum... succeeded.
  #*(x1,x2)		w: (x2)
  0()		w: (2440)
  i(x1)		w: (2438)
  +(x1,x2)		w: (1 + x2 + x1)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #7 #8
Number of SCCs: 0, DPs: 0