0.00/0.04	YES
0.00/0.05	Input TRS:
0.00/0.05	    1: half(0()) -> 0()
0.00/0.05	    2: half(s(s(x))) -> s(half(x))
0.00/0.05	    3: log(s(0())) -> 0()
0.00/0.05	    4: log(s(s(x))) -> s(log(s(half(x))))
0.00/0.05	    5: rand(x) ->= x
0.00/0.05	    6: rand(x) ->= rand(s(x))
0.00/0.05	Number of strict rules: 4
0.00/0.05	Direct POLO(bPol) ... removes: 3 5
0.00/0.05	      s 	w: x1
0.00/0.05	      rand	w: x1 + 1
0.00/0.05	      half	w: x1
0.00/0.05	      log	w: x1 + 1
0.00/0.05	      0 	w: 1
0.00/0.05	Number of strict rules: 3
0.00/0.05	Direct POLO(bPol) ... failed.
0.00/0.05	Uncurrying log
0.00/0.05	1: half(0()) -> 0()
0.00/0.05	2: half(s(s(x))) -> s(half(x))
0.00/0.05	4: log^1_s(s(x)) -> s(log^1_s(half(x)))
0.00/0.05	6: rand(x) ->= rand(s(x))
0.00/0.05	7: log(s(_1)) ->= log^1_s(_1)
0.00/0.05	Number of strict rules: 3
0.00/0.05	Direct POLO(bPol) ... removes: 7
0.00/0.05	      s 	w: x1
0.00/0.05	      rand	w: x1
0.00/0.05	      half	w: x1
0.00/0.05	      log	w: x1 + 2
0.00/0.05	      0 	w: 1
0.00/0.05	      log^1_s	w: x1 + 1
0.00/0.05	Number of strict rules: 3
0.00/0.05	Direct POLO(bPol) ... failed.
0.00/0.05	Dependency Pairs:
0.00/0.05	   #1: #half(s(s(x))) -> #half(x)
0.00/0.05	   #2: #log^1_s(s(x)) -> #log^1_s(half(x))
0.00/0.05	   #3: #log^1_s(s(x)) -> #half(x)
0.00/0.05	Number of SCCs: 2, DPs: 2
0.00/0.05	  SCC { #2 }
0.00/0.05	POLO(Sum)... succeeded.
0.00/0.05	      s 	w: x1 + 1
0.00/0.05	      #log^1_s	w: x1
0.00/0.05	      #half	w: 0
0.00/0.05	      rand	w: 0
0.00/0.05	      half	w: x1
0.00/0.05	      log	w: 0
0.00/0.05	      0 	w: 1
0.00/0.05	      log^1_s	w: x1 + 1
0.00/0.05	    Removed DPs: #2
0.00/0.05	Number of SCCs: 1, DPs: 1
0.00/0.05	  SCC { #1 }
0.00/0.05	POLO(Sum)... succeeded.
0.00/0.05	      s 	w: x1 + 1
0.00/0.05	      #log^1_s	w: 0
0.00/0.05	      #half	w: x1
0.00/0.05	      rand	w: 0
0.00/0.05	      half	w: x1
0.00/0.05	      log	w: 0
0.00/0.05	      0 	w: 1
0.00/0.05	      log^1_s	w: x1 + 1
0.00/0.05	    Removed DPs: #1
0.00/0.05	Number of SCCs: 0, DPs: 0
0.00/0.05	EOF