/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 POLO(bPol) ... failed.
Uncurrying ... 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 }
POLO(Sum)... succeeded.
      #O 	w: 0
      #* 	w: x1
      O 	w: x1 + 1
      I 	w: x1 + 1
      0 	w: 0
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #4 #9
Number of SCCs: 1, DPs: 5
  SCC { #1 #6 #7 #10 #12 }
POLO(Sum)... succeeded.
      #O 	w: 0
      #* 	w: 0
      O 	w: x1 + 1
      I 	w: x1 + 3
      0 	w: 1
      + 	w: x1 + x2 + 1
      #+ 	w: x1 + x2
      * 	w: 0
    USABLE RULES: { 1..7 }
    Removed DPs: #1 #6 #7 #10 #12
Number of SCCs: 0, DPs: 0