/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: nonZero(0()) -> false()
    2: nonZero(s(x)) -> true()
    3: p(0()) -> 0()
    4: p(s(x)) -> x
    5: id_inc(x) -> x
    6: id_inc(x) -> s(x)
    7: random(x) -> rand(x,0())
    8: rand(x,y) -> if(nonZero(x),x,y)
    9: if(false(),x,y) -> y
    10: if(true(),x,y) -> rand(p(x),id_inc(y))
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #random(x) -> #rand(x,0())
   #2: #if(true(),x,y) -> #rand(p(x),id_inc(y))
   #3: #if(true(),x,y) -> #p(x)
   #4: #if(true(),x,y) -> #id_inc(y)
   #5: #rand(x,y) -> #if(nonZero(x),x,y)
   #6: #rand(x,y) -> #nonZero(x)
Number of SCCs: 1, DPs: 2
  SCC { #2 #5 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      s 	w: max(x1 + 3, 0)
      #rand	w: max(x1 + 2, 0)
      nonZero	w: max(x1 + 2, 0)
      false	w: 1
      #p 	w: 0
      true	w: 4
      #nonZero	w: 0
      rand	w: max(x1 - 1, 0)
      #id_inc	w: 0
      p 	w: max(x1 - 3, 0)
      0 	w: 0
      if	w: max(x1 - 1, 0)
      random	w: 0
      #random	w: 0
      id_inc	w: max(x1 + 3, 0)
      #if	w: max(x1 - 1, x2, 0)
    USABLE RULES: { 1..6 }
    Removed DPs: #2 #5
Number of SCCs: 0, DPs: 0