/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES
Input TRS:
    1: sum(0()) -> 0()
    2: sum(s(x)) -> +(sqr(s(x)),sum(x))
    3: sqr(x) -> *(x,x)
    4: sum(s(x)) -> +(*(s(x),s(x)),sum(x))
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #sum(s(x)) -> #sqr(s(x))
   #2: #sum(s(x)) -> #sum(x)
   #3: #sum(s(x)) -> #sum(x)
Number of SCCs: 1, DPs: 2
  SCC { #2 #3 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      sum	w: 0
      #sqr	w: 0
      0 	w: 0
      sqr	w: 0
      + 	w: 0
      #sum	w: x1
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #3
Number of SCCs: 0, DPs: 0