0.00/0.08	YES
0.00/0.09	Input TRS:
0.00/0.09	    AC symbols: plus times
0.00/0.09	    1: plus(x,0()) -> x
0.00/0.09	    2: plus(x,s(y)) -> s(plus(x,y))
0.00/0.09	    3: times(x,0()) -> 0()
0.00/0.09	    4: times(x,s(y)) -> plus(x,times(x,y))
0.00/0.09	    5: minus(x,0()) -> x
0.00/0.09	    6: minus(s(x),s(y)) -> minus(x,y)
0.00/0.09	    7: div(0(),s(y)) -> 0()
0.00/0.09	    8: div(s(x),s(y)) -> s(div(minus(x,y),s(y)))
0.00/0.09	Number of strict rules: 8
0.00/0.09	Direct POLO(bPol) ... failed.
0.00/0.09	Uncurrying ... failed.
0.00/0.09	Dependency Pairs:
0.00/0.09	   #1: #plus(x,s(y)) -> #plus(x,y)
0.00/0.09	   #2: #minus(s(x),s(y)) -> #minus(x,y)
0.00/0.09	   #3: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.09	   #4: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.09	   #5: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.09	   #6: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.09	   #7: #div(s(x),s(y)) -> #div(minus(x,y),s(y))
0.00/0.09	   #8: #div(s(x),s(y)) -> #minus(x,y)
0.00/0.09	   #9: #times(x,s(y)) -> #plus(x,times(x,y))
0.00/0.09	   #10: #times(x,s(y)) -> #times(x,y)
0.00/0.09	Number of SCCs: 4, DPs: 8
0.00/0.09	  SCC { #2 }
0.00/0.09	POLO(Sum)... succeeded.
0.00/0.09	      #div	w: 0
0.00/0.09	      s 	w: x1 + 1
0.00/0.09	      minus	w: 0
0.00/0.09	      #plus	w: 0
0.00/0.09	      div	w: 0
0.00/0.09	      #times	w: 0
0.00/0.09	      0 	w: 0
0.00/0.09	      times	w: 0
0.00/0.09	      #minus	w: x1 + x2
0.00/0.09	      plus	w: 0
0.00/0.09	    USABLE RULES: { }
0.00/0.09	    Removed DPs: #2
0.00/0.09	Number of SCCs: 3, DPs: 7
0.00/0.09	  SCC { #7 }
0.00/0.09	POLO(Sum)... succeeded.
0.00/0.09	      #div	w: x1
0.00/0.09	      s 	w: x1 + 2
0.00/0.09	      minus	w: x1 + 1
0.00/0.09	      #plus	w: 0
0.00/0.09	      div	w: 0
0.00/0.09	      #times	w: 0
0.00/0.09	      0 	w: 1
0.00/0.09	      times	w: 0
0.00/0.09	      #minus	w: 0
0.00/0.09	      plus	w: 0
0.00/0.09	    USABLE RULES: { 5 6 }
0.00/0.09	    Removed DPs: #7
0.00/0.09	Number of SCCs: 2, DPs: 6
0.00/0.09	  SCC { #5 #6 #10 }
0.00/0.09	POLO(Sum)... POLO(max)... QLPOS... succeeded.
0.00/0.09	      #div	s: []	p: 0
0.00/0.09	      s 	s: [1]	p: 0
0.00/0.09	      minus	s: []	p: 0
0.00/0.09	      #plus	s: {}	p: 1
0.00/0.09	      div	s: []	p: 0
0.00/0.09	      #times	s: {1,2}	p: 2
0.00/0.09	      0 	s: []	p: 0
0.00/0.09	      times	s: {1,2}	p: 2
0.00/0.09	      #minus	s: []	p: 0
0.00/0.09	      plus	s: {1,2}	p: 1
0.00/0.09	    USABLE RULES: { 1..4 9 10 }
0.00/0.09	    Removed DPs: #6 #10
0.00/0.09	Number of SCCs: 2, DPs: 4
0.00/0.09	  SCC { #5 }
0.00/0.09	only weak rules.
0.00/0.09	Number of SCCs: 1, DPs: 3
0.00/0.09	  SCC { #1 #3 #4 }
0.00/0.09	POLO(Sum)... succeeded.
0.00/0.09	      #div	w: x1
0.00/0.09	      s 	w: x1 + 2
0.00/0.09	      minus	w: x1 + 1
0.00/0.09	      #plus	w: x1 + x2
0.00/0.09	      div	w: 0
0.00/0.09	      #times	w: 0
0.00/0.09	      0 	w: 2
0.00/0.09	      times	w: 1
0.00/0.09	      #minus	w: 0
0.00/0.09	      plus	w: x1 + x2 + 1
0.00/0.09	    USABLE RULES: { 1 2 5 6 9 }
0.00/0.09	    Removed DPs: #1 #4
0.00/0.09	Number of SCCs: 1, DPs: 1
0.00/0.09	  SCC { #3 }
0.00/0.09	only weak rules.
0.00/0.09	Number of SCCs: 0, DPs: 0
0.00/0.09	Next Dependency Pairs:
0.00/0.09	   #11: #plus(plus(x,s(y)),_1) -> #plus(s(plus(x,y)),_1)
0.00/0.09	   #12: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.09	   #13: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.09	   #14: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.09	   #15: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.09	   #16: #times(times(x,0()),_1) -> #times(0(),_1)
0.00/0.09	   #17: #plus(plus(x,0()),_1) -> #plus(x,_1)
0.00/0.09	   #18: #times(times(x,s(y)),_1) -> #times(plus(x,times(x,y)),_1)
0.00/0.09	Number of SCCs: 2, DPs: 8
0.00/0.09	  SCC { #14..16 #18 }
0.00/0.09	POLO(Sum)... POLO(max)... QLPOS... succeeded.
0.00/0.09	      #div	s: []	p: 0
0.00/0.09	      s 	s: [1]	p: 0
0.00/0.09	      minus	s: []	p: 0
0.00/0.09	      #plus	s: {}	p: 1
0.00/0.09	      div	s: []	p: 0
0.00/0.09	      #times	s: {1,2}	p: 2
0.00/0.09	      0 	s: []	p: 0
0.00/0.09	      times	s: {1,2}	p: 2
0.00/0.09	      #minus	s: []	p: 0
0.00/0.09	      plus	s: {1,2}	p: 1
0.00/0.09	    USABLE RULES: { 1..4 9 10 }
0.00/0.09	    Removed DPs: #15 #16 #18
0.00/0.09	Number of SCCs: 2, DPs: 5
0.00/0.09	  SCC { #14 }
0.00/0.09	only weak rules.
0.00/0.09	Number of SCCs: 1, DPs: 4
0.00/0.09	  SCC { #11..13 #17 }
0.00/0.09	POLO(Sum)... succeeded.
0.00/0.09	      #div	w: x1
0.00/0.09	      s 	w: x1 + 1
0.00/0.09	      minus	w: x1 + 1
0.00/0.09	      #plus	w: x1 + x2
0.00/0.09	      div	w: 0
0.00/0.09	      #times	w: 0
0.00/0.09	      0 	w: 2
0.00/0.09	      times	w: x1 + x2 + 1
0.00/0.09	      #minus	w: 0
0.00/0.09	      plus	w: x1 + x2 + 2
0.00/0.09	    USABLE RULES: { 1 2 5 6 9 }
0.00/0.09	    Removed DPs: #13 #17
0.00/0.09	Number of SCCs: 1, DPs: 2
0.00/0.09	  SCC { #11 #12 }
0.00/0.09	POLO(Sum)... succeeded.
0.00/0.09	      #div	w: 0
0.00/0.09	      s 	w: 1
0.00/0.09	      minus	w: 1
0.00/0.09	      #plus	w: x1 + x2
0.00/0.09	      div	w: 0
0.00/0.09	      #times	w: 0
0.00/0.09	      0 	w: 2
0.00/0.09	      times	w: x1 + x2 + 1
0.00/0.09	      #minus	w: 0
0.00/0.09	      plus	w: x1 + x2 + 2
0.00/0.09	    USABLE RULES: { 1 2 9 }
0.00/0.09	    Removed DPs: #11
0.00/0.09	Number of SCCs: 1, DPs: 1
0.00/0.09	  SCC { #12 }
0.00/0.09	only weak rules.
0.00/0.09	Number of SCCs: 0, DPs: 0
0.00/0.09	EOF