0.00/0.13	YES
0.00/0.13	Input TRS:
0.00/0.13	    1: pred(s(x)) -> x
0.00/0.13	    2: minus(x,0()) -> x
0.00/0.13	    3: minus(x,s(y)) -> pred(minus(x,y))
0.00/0.13	    4: quot(0(),s(y)) -> 0()
0.00/0.13	    5: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
0.00/0.13	    6: log(s(0())) -> 0()
0.00/0.13	    7: log(s(s(x))) -> s(log(s(quot(x,s(s(0()))))))
0.00/0.13	    8: rand(x) ->= x
0.00/0.13	    9: rand(x) ->= rand(s(x))
0.00/0.13	Number of strict rules: 7
0.00/0.13	Direct POLO(bPol) ... failed.
0.00/0.13	Uncurrying log
0.00/0.13	1: pred(s(x)) -> x
0.00/0.13	2: minus(x,0()) -> x
0.00/0.13	3: minus(x,s(y)) -> pred(minus(x,y))
0.00/0.13	4: quot(0(),s(y)) -> 0()
0.00/0.13	5: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
0.00/0.13	6: log^1_s(0()) -> 0()
0.00/0.13	7: log^1_s(s(x)) -> s(log^1_s(quot(x,s(s(0())))))
0.00/0.13	8: rand(x) ->= x
0.00/0.13	9: rand(x) ->= rand(s(x))
0.00/0.13	10: log(s(_1)) ->= log^1_s(_1)
0.00/0.13	Number of strict rules: 7
0.00/0.13	Direct POLO(bPol) ... failed.
0.00/0.13	Dependency Pairs:
0.00/0.13	   #1: #log^1_s(s(x)) -> #log^1_s(quot(x,s(s(0()))))
0.00/0.13	   #2: #log^1_s(s(x)) -> #quot(x,s(s(0())))
0.00/0.13	   #3: #log(s(_1)) ->? #log^1_s(_1)
0.00/0.13	   #4: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y))
0.00/0.13	   #5: #quot(s(x),s(y)) -> #minus(x,y)
0.00/0.13	   #6: #minus(x,s(y)) -> #pred(minus(x,y))
0.00/0.13	   #7: #minus(x,s(y)) -> #minus(x,y)
0.00/0.13	Number of SCCs: 3, DPs: 3
0.00/0.13	  SCC { #7 }
0.00/0.13	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.13	      s 	s: [1]	p: 1	w: x1
0.00/0.13	      minus	s: 1
0.00/0.13	      #log^1_s	s: []	p: 0	w: 0
0.00/0.13	      #log	s: []	p: 0	w: 0
0.00/0.13	      pred	s: 1
0.00/0.13	      rand	s: []	p: 0	w: x1 + 1
0.00/0.13	      log	s: [1]	p: 1	w: x1 + 1
0.00/0.13	      0 	s: []	p: 1	w: 1
0.00/0.13	      quot	s: 1
0.00/0.13	      #minus	s: [2]	p: 0	w: max(x2)
0.00/0.13	      #pred	s: []	p: 0	w: 0
0.00/0.13	      #quot	s: []	p: 0	w: max(x2)
0.00/0.13	      log^1_s	s: 1
0.00/0.13	    Removed DPs: #7
0.00/0.13	Number of SCCs: 2, DPs: 2
0.00/0.13	  SCC { #1 }
0.00/0.13	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.13	      s 	s: [1]	p: 1	w: x1
0.00/0.13	      minus	s: 1
0.00/0.13	      #log^1_s	s: [1]	p: 0	w: x1
0.00/0.13	      #log	s: []	p: 0	w: 0
0.00/0.13	      pred	s: 1
0.00/0.13	      rand	s: []	p: 0	w: x1 + 1
0.00/0.13	      log	s: [1]	p: 1	w: x1 + 1
0.00/0.13	      0 	s: []	p: 1	w: 1
0.00/0.13	      quot	s: 1
0.00/0.13	      #minus	s: [2]	p: 0	w: max(x2)
0.00/0.13	      #pred	s: []	p: 0	w: 0
0.00/0.13	      #quot	s: []	p: 0	w: max(x2)
0.00/0.13	      log^1_s	s: 1
0.00/0.13	    Removed DPs: #1
0.00/0.13	Number of SCCs: 1, DPs: 1
0.00/0.13	  SCC { #4 }
0.00/0.13	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.13	      s 	s: [1]	p: 0	w: x1
0.00/0.13	      minus	s: 1
0.00/0.13	      #log^1_s	s: [1]	p: 0	w: x1
0.00/0.13	      #log	s: []	p: 0	w: 0
0.00/0.13	      pred	s: 1
0.00/0.13	      rand	s: []	p: 0	w: x1 + 1
0.00/0.13	      log	s: [1]	p: 0	w: x1 + 1
0.00/0.13	      0 	s: []	p: 0	w: 1
0.00/0.13	      quot	s: 1
0.00/0.13	      #minus	s: [2]	p: 0	w: max(x2)
0.00/0.13	      #pred	s: []	p: 0	w: 0
0.00/0.13	      #quot	s: [1]	p: 0	w: max(x1 + 1)
0.00/0.13	      log^1_s	s: 1
0.00/0.13	    Removed DPs: #4
0.00/0.13	Number of SCCs: 0, DPs: 0
0.00/0.13	EOF