0.00/0.07	YES
0.00/0.07	Input TRS:
0.00/0.07	    1: times(x,0()) -> 0()
0.00/0.07	    2: times(x,s(y)) -> plus(times(x,y),x)
0.00/0.07	    3: plus(x,0()) -> x
0.00/0.07	    4: plus(0(),x) -> x
0.00/0.07	    5: plus(x,s(y)) -> s(plus(x,y))
0.00/0.07	    6: plus(s(x),y) -> s(plus(x,y))
0.00/0.07	    7: rand(x) ->= x
0.00/0.07	    8: rand(x) ->= rand(s(x))
0.00/0.07	Number of strict rules: 6
0.00/0.07	Direct POLO(bPol) ... failed.
0.00/0.07	Uncurrying ... failed.
0.00/0.07	Dependency Pairs:
0.00/0.07	   #1: #times(x,s(y)) -> #plus(times(x,y),x)
0.00/0.07	   #2: #times(x,s(y)) -> #times(x,y)
0.00/0.07	   #3: #plus(s(x),y) -> #plus(x,y)
0.00/0.07	   #4: #plus(x,s(y)) -> #plus(x,y)
0.00/0.07	Number of SCCs: 2, DPs: 3
0.00/0.07	  SCC { #2 }
0.00/0.07	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.07	      s 	s: [1]	p: 0	w: x1
0.00/0.07	      #plus	s: []	p: 0	w: 0
0.00/0.07	      rand	s: []	p: 0	w: x1 + 1
0.00/0.07	      #times	s: [1,2]	p: 1	w: x1 + x2 + 1
0.00/0.07	      0 	s: []	p: 2	w: 1
0.00/0.07	      times	s: [2]	p: 2	w: x1 + x2 + 2
0.00/0.07	      plus	s: [2,1]	p: 1	w: max(x1, x2 + 1)
0.00/0.07	    Removed DPs: #2
0.00/0.07	Number of SCCs: 1, DPs: 2
0.00/0.07	  SCC { #3 #4 }
0.00/0.07	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.07	      s 	s: [1]	p: 0	w: x1
0.00/0.07	      #plus	s: [1,2]	p: 1	w: max(x1 + 1, x2 + 2)
0.00/0.07	      rand	s: []	p: 0	w: x1 + 1
0.00/0.07	      #times	s: [1,2]	p: 1	w: x1 + x2 + 1
0.00/0.07	      0 	s: []	p: 2	w: 1
0.00/0.07	      times	s: [2]	p: 2	w: x1 + x2 + 2
0.00/0.07	      plus	s: [2,1]	p: 1	w: max(x1, x2 + 1)
0.00/0.07	    Removed DPs: #3 #4
0.00/0.07	Number of SCCs: 0, DPs: 0
0.00/0.07	EOF