0.00/0.16	YES
0.00/0.16	Input TRS:
0.00/0.16	    1: log(s(x1)) -> s(log(half(s(x1))))
0.00/0.16	    2: half(0(x1)) -> 0(s(s(half(x1))))
0.00/0.16	    3: half(s(0(x1))) -> 0(x1)
0.00/0.16	    4: half(s(s(x1))) -> s(half(p(s(s(x1)))))
0.00/0.16	    5: half(half(s(s(s(s(x1)))))) -> s(s(half(half(x1))))
0.00/0.16	    6: p(s(s(s(x1)))) -> s(p(s(s(x1))))
0.00/0.16	    7: s(s(p(s(x1)))) -> s(s(x1))
0.00/0.16	    8: 0(x1) -> x1
0.00/0.16	Number of strict rules: 8
0.00/0.16	Direct POLO(bPol) ... removes: 8
0.00/0.16	      s 	w: x1
0.00/0.16	      half	w: x1
0.00/0.16	      p 	w: x1
0.00/0.16	      log	w: x1 + 1
0.00/0.16	      0 	w: x1 + 1
0.00/0.16	Number of strict rules: 7
0.00/0.16	Direct POLO(bPol) ... failed.
0.00/0.16	Uncurrying ... failed.
0.00/0.16	Dependency Pairs:
0.00/0.16	   #1: #half(0(x1)) -> #s(s(half(x1)))
0.00/0.16	   #2: #half(0(x1)) -> #s(half(x1))
0.00/0.16	   #3: #half(0(x1)) -> #half(x1)
0.00/0.16	   #4: #p(s(s(s(x1)))) -> #s(p(s(s(x1))))
0.00/0.16	   #5: #p(s(s(s(x1)))) -> #p(s(s(x1)))
0.00/0.16	   #6: #s(s(p(s(x1)))) -> #s(s(x1))
0.00/0.16	   #7: #half(half(s(s(s(s(x1)))))) -> #s(s(half(half(x1))))
0.00/0.16	   #8: #half(half(s(s(s(s(x1)))))) -> #s(half(half(x1)))
0.00/0.16	   #9: #half(half(s(s(s(s(x1)))))) -> #half(half(x1))
0.00/0.16	   #10: #half(half(s(s(s(s(x1)))))) -> #half(x1)
0.00/0.16	   #11: #log(s(x1)) -> #s(log(half(s(x1))))
0.00/0.16	   #12: #log(s(x1)) -> #log(half(s(x1)))
0.00/0.16	   #13: #log(s(x1)) -> #half(s(x1))
0.00/0.16	   #14: #half(s(s(x1))) -> #s(half(p(s(s(x1)))))
0.00/0.16	   #15: #half(s(s(x1))) -> #half(p(s(s(x1))))
0.00/0.16	   #16: #half(s(s(x1))) -> #p(s(s(x1)))
0.00/0.16	Number of SCCs: 5, DPs: 7
0.00/0.16	  SCC { #12 }
0.00/0.16	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
0.00/0.16	      s 	w: max(x1 + 3, 0)
0.00/0.16	      #log	w: max(x1 - 2, 0)
0.00/0.16	      #half	w: max(x1 - 1, 0)
0.00/0.16	      #p 	w: 0
0.00/0.16	      half	w: max(x1 - 2, 0)
0.00/0.16	      p 	w: max(x1 - 3, 0)
0.00/0.16	      log	w: max(x1 - 1, 0)
0.00/0.16	      0 	w: max(x1 - 1, 0)
0.00/0.16	      #s 	w: 0
0.00/0.16	    USABLE RULES: { 3 4 6 7 }
0.00/0.16	    Removed DPs: #12
0.00/0.16	Number of SCCs: 4, DPs: 6
0.00/0.16	  SCC { #6 }
0.00/0.16	POLO(Sum)... succeeded.
0.00/0.16	      s 	w: x1 + 1
0.00/0.16	      #log	w: 0
0.00/0.16	      #half	w: 0
0.00/0.16	      #p 	w: 0
0.00/0.16	      half	w: 1
0.00/0.16	      p 	w: x1
0.00/0.16	      log	w: 0
0.00/0.16	      0 	w: x1 + 2
0.00/0.16	      #s 	w: x1
0.00/0.16	    USABLE RULES: { 7 }
0.00/0.16	    Removed DPs: #6
0.00/0.16	Number of SCCs: 3, DPs: 5
0.00/0.16	  SCC { #15 }
0.00/0.16	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
0.00/0.16	      s 	w: max(x1 + 3, 0)
0.00/0.16	      #log	w: max(x1 - 2, 0)
0.00/0.16	      #half	w: max(x1 + 4, 0)
0.00/0.16	      #p 	w: 0
0.00/0.16	      half	w: max(x1 - 2, 0)
0.00/0.16	      p 	w: max(x1 - 3, 0)
0.00/0.16	      log	w: max(x1 - 1, 0)
0.00/0.16	      0 	w: max(x1 - 1, 0)
0.00/0.16	      #s 	w: 0
0.00/0.16	    USABLE RULES: { 3 4 6 7 }
0.00/0.16	    Removed DPs: #15
0.00/0.16	Number of SCCs: 2, DPs: 4
0.00/0.16	  SCC { #5 }
0.00/0.16	POLO(Sum)... succeeded.
0.00/0.16	      s 	w: x1 + 1
0.00/0.16	      #log	w: 0
0.00/0.16	      #half	w: 0
0.00/0.16	      #p 	w: x1
0.00/0.16	      half	w: 1
0.00/0.16	      p 	w: x1
0.00/0.16	      log	w: 0
0.00/0.16	      0 	w: x1 + 2
0.00/0.16	      #s 	w: 0
0.00/0.16	    USABLE RULES: { 6 7 }
0.00/0.16	    Removed DPs: #5
0.00/0.16	Number of SCCs: 1, DPs: 3
0.00/0.16	  SCC { #3 #9 #10 }
0.00/0.16	POLO(Sum)... succeeded.
0.00/0.16	      s 	w: x1
0.00/0.16	      #log	w: 0
0.00/0.16	      #half	w: x1
0.00/0.16	      #p 	w: x1
0.00/0.16	      half	w: x1 + 1
0.00/0.16	      p 	w: x1
0.00/0.16	      log	w: 0
0.00/0.16	      0 	w: x1 + 2
0.00/0.16	      #s 	w: 0
0.00/0.16	    USABLE RULES: { 2..7 }
0.00/0.16	    Removed DPs: #3 #10
0.00/0.16	Number of SCCs: 1, DPs: 1
0.00/0.16	  SCC { #9 }
0.00/0.16	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
0.00/0.16	      s 	w: max(x1 + 5, 0)
0.00/0.16	      #log	w: max(x1 - 2, 0)
0.00/0.16	      #half	w: max(x1 - 1, 0)
0.00/0.16	      #p 	w: 0
0.00/0.16	      half	w: max(x1 - 3, 0)
0.00/0.16	      p 	w: max(x1 - 5, 0)
0.00/0.16	      log	w: max(x1 - 1, 0)
0.00/0.16	      0 	w: 0
0.00/0.16	      #s 	w: 0
0.00/0.16	    USABLE RULES: { 2..7 }
0.00/0.16	    Removed DPs: #9
0.00/0.16	Number of SCCs: 0, DPs: 0
0.00/0.16	EOF