/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: f(x,c(y)) -> f(x,s(f(y,y)))
    2: f(s(x),y) -> f(x,s(c(y)))
    3: rand(x) ->= x
    4: rand(x) ->= rand(s(x))
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #f(s(x),y) -> #f(x,s(c(y)))
   #2: #f(x,c(y)) -> #f(x,s(f(y,y)))
   #3: #f(x,c(y)) -> #f(y,y)
Number of SCCs: 2, DPs: 2
  SCC { #3 }
POLO(Sum)... succeeded.
      s 	w: x1
      c 	w: x1 + 1
      f 	w: x1 + 1
      rand	w: x1
      #f 	w: x2
    Removed DPs: #3
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
      s 	s: [1]	p: 0	w: x1
      c 	s: []	p: 0	w: 0
      f 	s: []	p: 1	w: max(x1 + 2)
      rand	s: []	p: 0	w: x1 + 1
      #f 	s: [1,2]	p: 0	w: x1 + x2 + 1
    Removed DPs: #1
Number of SCCs: 0, DPs: 0