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