/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: average(s(x),y) -> average(x,s(y))
    2: average(x,s(s(s(y)))) -> s(average(s(x),y))
    3: average(0(),0()) -> 0()
    4: average(0(),s(0())) -> 0()
    5: average(0(),s(s(0()))) -> s(0())
    6: rand(x) ->= x
    7: rand(x) ->= rand(s(x))
Number of strict rules: 5
Direct POLO(bPol) ... removes: 4 3 5 6
      s 	w: x1
      average	w: x1 + x2 + 1
      rand	w: x1 + 1
      0 	w: 1
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #average(x,s(s(s(y)))) -> #average(s(x),y)
   #2: #average(s(x),y) -> #average(x,s(y))
Number of SCCs: 1, DPs: 2
  SCC { #1 #2 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      average	w: x1 + x2
      rand	w: 0
      0 	w: 0
      #average	w: x1 + x2
    Removed DPs: #1
Number of SCCs: 1, DPs: 1
  SCC { #2 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      average	w: x1 + x2
      rand	w: 0
      0 	w: 0
      #average	w: x1
    Removed DPs: #2
Number of SCCs: 0, DPs: 0