0.00/0.12	YES
0.00/0.12	Input TRS:
0.00/0.12	    1: minus(x,0()) -> x
0.00/0.12	    2: minus(s(x),s(y)) -> minus(x,y)
0.00/0.12	    3: double(0()) -> 0()
0.00/0.12	    4: double(s(x)) -> s(s(double(x)))
0.00/0.12	    5: plus(0(),y) -> y
0.00/0.12	    6: plus(s(x),y) -> s(plus(x,y))
0.00/0.12	    7: plus(s(x),y) -> plus(x,s(y))
0.00/0.12	    8: plus(s(x),y) -> s(plus(minus(x,y),double(y)))
0.00/0.12	    9: rand(x) ->= x
0.00/0.12	    10: rand(x) ->= rand(s(x))
0.00/0.12	Number of strict rules: 8
0.00/0.12	Direct POLO(bPol) ... failed.
0.00/0.12	Uncurrying ... failed.
0.00/0.12	Dependency Pairs:
0.00/0.12	   #1: #minus(s(x),s(y)) -> #minus(x,y)
0.00/0.12	   #2: #plus(s(x),y) -> #plus(x,y)
0.00/0.12	   #3: #plus(s(x),y) -> #plus(x,s(y))
0.00/0.12	   #4: #plus(s(x),y) -> #plus(minus(x,y),double(y))
0.00/0.12	   #5: #plus(s(x),y) -> #minus(x,y)
0.00/0.12	   #6: #plus(s(x),y) -> #double(y)
0.00/0.12	   #7: #double(s(x)) -> #double(x)
0.00/0.12	Number of SCCs: 3, DPs: 5
0.00/0.12	  SCC { #7 }
0.00/0.12	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.12	      s 	s: [1]	p: 0	w: x1
0.00/0.12	      minus	s: 1
0.00/0.12	      #plus	s: []	p: 0	w: max(x1 + 1)
0.00/0.12	      rand	s: []	p: 0	w: x1 + 1
0.00/0.12	      0 	s: []	p: 2	w: 1
0.00/0.12	      #double	s: [1]	p: 0	w: x1 + 1
0.00/0.12	      double	s: [1]	p: 2	w: x1
0.00/0.12	      #minus	s: []	p: 0	w: max(x1)
0.00/0.12	      plus	s: [1,2]	p: 1	w: max(x1 + 2, x2 + 1)
0.00/0.12	    Removed DPs: #7
0.00/0.12	Number of SCCs: 2, DPs: 4
0.00/0.12	  SCC { #1 }
0.00/0.12	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.12	      s 	s: [1]	p: 1	w: x1
0.00/0.12	      minus	s: 1
0.00/0.12	      #plus	s: []	p: 0	w: max(x1 + 1)
0.00/0.12	      rand	s: []	p: 0	w: x1 + 1
0.00/0.12	      0 	s: []	p: 3	w: 1
0.00/0.12	      #double	s: [1]	p: 0	w: x1 + 1
0.00/0.12	      double	s: [1]	p: 3	w: x1
0.00/0.12	      #minus	s: [2]	p: 0	w: max(x2 + 1)
0.00/0.12	      plus	s: [1,2]	p: 2	w: max(x1 + 2, x2 + 1)
0.00/0.12	    Removed DPs: #1
0.00/0.12	Number of SCCs: 1, DPs: 3
0.00/0.12	  SCC { #2..4 }
0.00/0.12	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.12	      s 	s: [1]	p: 1	w: x1
0.00/0.12	      minus	s: 1
0.00/0.12	      #plus	s: [1,2]	p: 1	w: max(x1 + 1, x2 + 2)
0.00/0.12	      rand	s: []	p: 0	w: x1 + 1
0.00/0.12	      0 	s: []	p: 2	w: 1
0.00/0.12	      #double	s: [1]	p: 0	w: x1 + 1
0.00/0.12	      double	s: [1]	p: 2	w: x1
0.00/0.12	      #minus	s: [2]	p: 0	w: max(x2 + 1)
0.00/0.12	      plus	s: [1,2]	p: 3	w: max(x1 + 2, x2 + 1)
0.00/0.12	    Removed DPs: #3 #4
0.00/0.12	Number of SCCs: 1, DPs: 1
0.00/0.12	  SCC { #2 }
0.00/0.12	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.12	      s 	s: [1]	p: 1	w: x1
0.00/0.12	      minus	s: 1
0.00/0.12	      #plus	s: [1,2]	p: 2	w: max(x1 + 1, x2 + 2)
0.00/0.12	      rand	s: []	p: 0	w: x1 + 1
0.00/0.12	      0 	s: []	p: 2	w: 1
0.00/0.12	      #double	s: [1]	p: 0	w: x1 + 1
0.00/0.12	      double	s: [1]	p: 2	w: x1
0.00/0.12	      #minus	s: [2]	p: 0	w: max(x2 + 1)
0.00/0.12	      plus	s: [1,2]	p: 3	w: max(x1 + 2, x2 + 1)
0.00/0.12	    Removed DPs: #2
0.00/0.12	Number of SCCs: 0, DPs: 0
0.00/0.12	EOF