/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: +(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 POLO(bPol) ... failed.
Uncurrying ... 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 }
POLO(Sum)... succeeded.
      #* 	w: 0
      0 	w: 1
      i 	w: 1
      + 	w: x1 + x2 + 1
      #+ 	w: x1 + x2
      * 	w: 0
    USABLE RULES: { 1..3 }
    Removed DPs: #5
Number of SCCs: 2, DPs: 5
  SCC { #4 }
POLO(Sum)... succeeded.
      #* 	w: 0
      0 	w: 3
      i 	w: 1
      + 	w: x1 + x2 + 1
      #+ 	w: x1
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 4
  SCC { #2 #3 #7 #8 }
POLO(Sum)... succeeded.
      #* 	w: x1 + x2
      0 	w: 3
      i 	w: 1
      + 	w: x1 + x2 + 1
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #3 #7 #8
Number of SCCs: 0, DPs: 0