/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: O(0()) -> 0()
    2: +(0(),x) -> x
    3: +(x,0()) -> x
    4: +(O(x),O(y)) -> O(+(x,y))
    5: +(O(x),I(y)) -> I(+(x,y))
    6: +(I(x),O(y)) -> I(+(x,y))
    7: +(I(x),I(y)) -> O(+(+(x,y),I(0())))
    8: *(0(),x) -> 0()
    9: *(x,0()) -> 0()
    10: *(O(x),y) -> O(*(x,y))
    11: *(I(x),y) -> +(O(*(x,y)),y)
Number of strict rules: 11
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #+(I(x),O(y)) -> #+(x,y)
   #2: #*(I(x),y) -> #+(O(*(x,y)),y)
   #3: #*(I(x),y) -> #O(*(x,y))
   #4: #*(I(x),y) -> #*(x,y)
   #5: #+(I(x),I(y)) -> #O(+(+(x,y),I(0())))
   #6: #+(I(x),I(y)) -> #+(+(x,y),I(0()))
   #7: #+(I(x),I(y)) -> #+(x,y)
   #8: #*(O(x),y) -> #O(*(x,y))
   #9: #*(O(x),y) -> #*(x,y)
   #10: #+(O(x),I(y)) -> #+(x,y)
   #11: #+(O(x),O(y)) -> #O(+(x,y))
   #12: #+(O(x),O(y)) -> #+(x,y)
Number of SCCs: 2, DPs: 7
	SCC { #4 #9 }
Sum... succeeded.
  #O(x1)		w: (0)
  #*(x1,x2)		w: (x1)
  O(x1)		w: (1 + x1)
  I(x1)		w: (1 + x1)
  0()		w: (0)
  +(x1,x2)		w: (0)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4 #9
Number of SCCs: 1, DPs: 5
	SCC { #1 #6 #7 #10 #12 }
Sum... succeeded.
  #O(x1)		w: (0)
  #*(x1,x2)		w: (0)
  O(x1)		w: (1 + x1)
  I(x1)		w: (2 + x1)
  0()		w: (0)
  +(x1,x2)		w: (21239 + x2)
  #+(x1,x2)		w: (10158 + x2)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1 #7 #10 #12
Number of SCCs: 1, DPs: 1
	SCC { #6 }
Sum... succeeded.
  #O(x1)		w: (0)
  #*(x1,x2)		w: (0)
  O(x1)		w: (x1)
  I(x1)		w: (10452 + x1)
  0()		w: (0)
  +(x1,x2)		w: (1 + x2 + x1)
  #+(x1,x2)		w: (x2 + x1)
  *(x1,x2)		w: (0)
    USABLE RULES: { 1..7 }
    Removed DPs: #6
Number of SCCs: 0, DPs: 0