/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)
    12: -(x,0()) -> x
    13: -(0(),x) -> 0()
    14: -(O(x),O(y)) -> O(-(x,y))
    15: -(O(x),I(y)) -> I(-(-(x,y),I(1())))
    16: -(I(x),O(y)) -> I(-(x,y))
    17: -(I(x),I(y)) -> O(-(x,y))
Number of strict rules: 17
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: #-(O(x),O(y)) -> #O(-(x,y))
   #6: #-(O(x),O(y)) -> #-(x,y)
   #7: #+(I(x),I(y)) -> #O(+(+(x,y),I(0())))
   #8: #+(I(x),I(y)) -> #+(+(x,y),I(0()))
   #9: #+(I(x),I(y)) -> #+(x,y)
   #10: #*(O(x),y) -> #O(*(x,y))
   #11: #*(O(x),y) -> #*(x,y)
   #12: #+(O(x),I(y)) -> #+(x,y)
   #13: #-(I(x),I(y)) -> #O(-(x,y))
   #14: #-(I(x),I(y)) -> #-(x,y)
   #15: #-(I(x),O(y)) -> #-(x,y)
   #16: #-(O(x),I(y)) -> #-(-(x,y),I(1()))
   #17: #-(O(x),I(y)) -> #-(x,y)
   #18: #+(O(x),O(y)) -> #O(+(x,y))
   #19: #+(O(x),O(y)) -> #+(x,y)
Number of SCCs: 3, DPs: 12
	SCC { #4 #11 }
Sum... succeeded.
  1()		w: (0)
  #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)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4 #11
Number of SCCs: 2, DPs: 10
	SCC { #6 #14..17 }
Sum... succeeded.
  1()		w: (1)
  #O(x1)		w: (0)
  #*(x1,x2)		w: (0)
  O(x1)		w: (8859 + x1)
  I(x1)		w: (8857 + x1)
  0()		w: (1)
  -(x1,x2)		w: (1 + x2 + x1)
  #-(x1,x2)		w: (x2 + x1)
  +(x1,x2)		w: (0)
  #+(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { 1 12..17 }
    Removed DPs: #6 #14..17
Number of SCCs: 1, DPs: 5
	SCC { #1 #8 #9 #12 #19 }
Sum... succeeded.
  1()		w: (0)
  #O(x1)		w: (0)
  #*(x1,x2)		w: (0)
  O(x1)		w: (1 + x1)
  I(x1)		w: (1 + x1)
  0()		w: (0)
  -(x1,x2)		w: (x2 + x1)
  #-(x1,x2)		w: (x1)
  +(x1,x2)		w: (x2 + x1)
  #+(x1,x2)		w: (28100 + x2 + x1)
  *(x1,x2)		w: (0)
    USABLE RULES: { 1..7 12..17 }
    Removed DPs: #1 #8 #9 #12 #19
Number of SCCs: 0, DPs: 0