0.00/0.11	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: quot(0(),s(y)) -> 0()
0.00/0.12	    4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
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: minus(minus(x,y),z) -> minus(x,plus(y,z))
0.00/0.12	    8: rand(x) ->= x
0.00/0.12	    9: rand(x) ->= rand(s(x))
0.00/0.12	Number of strict rules: 7
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: #minus(minus(x,y),z) -> #minus(x,plus(y,z))
0.00/0.12	   #4: #minus(minus(x,y),z) -> #plus(y,z)
0.00/0.12	   #5: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y))
0.00/0.12	   #6: #quot(s(x),s(y)) -> #minus(x,y)
0.00/0.12	Number of SCCs: 3, DPs: 4
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: 0	w: x1
0.00/0.12	      minus	s: 1
0.00/0.12	      #plus	s: [2,1]	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: 1	w: 1
0.00/0.12	      quot	s: [1]	p: 1	w: max(x1 + 1)
0.00/0.12	      #minus	s: [1]	p: 0	w: max(x1)
0.00/0.12	      plus	s: [2,1]	p: 1	w: max(x1 + 2, x2 + 1)
0.00/0.12	      #quot	s: []	p: 0	w: max(x2)
0.00/0.12	    Removed DPs: #2
0.00/0.12	Number of SCCs: 2, DPs: 3
0.00/0.12	  SCC { #5 }
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: [2,1]	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: 1	w: 1
0.00/0.12	      quot	s: [1]	p: 1	w: max(x1 + 1)
0.00/0.12	      #minus	s: [1]	p: 0	w: max(x1)
0.00/0.12	      plus	s: [2,1]	p: 1	w: max(x1 + 2, x2 + 1)
0.00/0.12	      #quot	s: [1,2]	p: 1	w: max(x1 + 1, x2)
0.00/0.12	    Removed DPs: #5
0.00/0.12	Number of SCCs: 1, DPs: 2
0.00/0.12	  SCC { #1 #3 }
0.00/0.12	POLO(Sum)... succeeded.
0.00/0.12	      s 	w: x1
0.00/0.12	      minus	w: x1 + x2 + 2
0.00/0.12	      #plus	w: 0
0.00/0.12	      rand	w: x1
0.00/0.12	      0 	w: 1
0.00/0.12	      quot	w: 1
0.00/0.12	      #minus	w: x1 + x2
0.00/0.12	      plus	w: x2 + 1
0.00/0.12	      #quot	w: 0
0.00/0.12	    Removed DPs: #3
0.00/0.12	Number of SCCs: 1, DPs: 1
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: 0	w: x1
0.00/0.12	      minus	s: 1
0.00/0.12	      #plus	s: [2,1]	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: 1	w: 1
0.00/0.12	      quot	s: [1]	p: 1	w: max(x1 + 1)
0.00/0.12	      #minus	s: [1]	p: 1	w: max(x1)
0.00/0.12	      plus	s: [2,1]	p: 1	w: max(x1 + 2, x2 + 1)
0.00/0.12	      #quot	s: [1,2]	p: 1	w: max(x1 + 1, x2)
0.00/0.12	    Removed DPs: #1
0.00/0.12	Number of SCCs: 0, DPs: 0
0.00/0.12	EOF