/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: f(g(x)) -> g(f(f(x)))
    2: f(h(x)) -> h(g(x))
    3: f'(s(x),y,y) -> f'(y,x,s(x))
    4: rand(x) ->= x
    5: rand(x) ->= rand(s(x))
Number of strict rules: 3
Direct POLO(bPol) ... removes: 4
      h 	w: 2 * x1 + 1
      s 	w: x1
      f 	w: x1
      rand	w: x1 + 1
      f'	w: 2 * x1 + x2 + x3
      g 	w: x1
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #f'(s(x),y,y) -> #f'(y,x,s(x))
   #2: #f(g(x)) -> #f(f(x))
   #3: #f(g(x)) -> #f(x)
Number of SCCs: 2, DPs: 3
  SCC { #1 }
POLO(Sum)... succeeded.
      h 	w: x1 + 1
      s 	w: x1 + 1
      #f'	w: x1 + x2
      f 	w: x1 + 1
      rand	w: 0
      #f 	w: 0
      f'	w: x1 + x3
      g 	w: 1
    Removed DPs: #1
Number of SCCs: 1, DPs: 2
  SCC { #2 #3 }
POLO(Sum)... succeeded.
      h 	w: 1
      s 	w: x1 + 1
      #f'	w: 0
      f 	w: x1
      rand	w: 0
      #f 	w: x1
      f'	w: x1 + x3
      g 	w: x1 + 1
    Removed DPs: #2 #3
Number of SCCs: 0, DPs: 0