0.00/0.07	YES
0.00/0.07	Input TRS:
0.00/0.07	    AC symbols: plus times
0.00/0.07	    1: plus(x,0()) -> x
0.00/0.07	    2: plus(x,s(y)) -> s(plus(x,y))
0.00/0.07	    3: plus(x,plus(s(y),z)) -> plus(s(plus(x,y)),z)
0.00/0.07	    4: times(x,0()) -> 0()
0.00/0.07	    5: times(x,times(0(),z)) -> times(0(),z)
0.00/0.07	    6: times(x,s(y)) -> plus(times(x,y),x)
0.00/0.07	    7: times(x,times(s(y),z)) -> times(plus(times(x,y),x),z)
0.00/0.07	Number of strict rules: 7
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: #plus(x,s(y)) -> #plus(x,y)
0.00/0.07	   #2: #times(x,s(y)) -> #plus(times(x,y),x)
0.00/0.07	   #3: #times(x,s(y)) -> #times(x,y)
0.00/0.07	   #4: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.07	   #5: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.07	   #6: #times(x,times(s(y),z)) -> #times(plus(times(x,y),x),z)
0.00/0.07	   #7: #times(x,times(s(y),z)) -> #plus(times(x,y),x)
0.00/0.07	   #8: #times(x,times(s(y),z)) -> #times(x,y)
0.00/0.07	   #9: #plus(x,plus(s(y),z)) -> #plus(s(plus(x,y)),z)
0.00/0.07	   #10: #plus(x,plus(s(y),z)) -> #plus(x,y)
0.00/0.07	   #11: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.07	   #12: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.07	Number of SCCs: 2, DPs: 10
0.00/0.07	  SCC { #1 #9..12 }
0.00/0.07	POLO(Sum)... succeeded.
0.00/0.07	      s 	w: x1 + 1
0.00/0.07	      #plus	w: x1 + x2
0.00/0.07	      #times	w: 0
0.00/0.07	      0 	w: 1
0.00/0.07	      times	w: 0
0.00/0.07	      plus	w: x1 + x2 + 1
0.00/0.07	    USABLE RULES: { 1..3 8 }
0.00/0.07	    Removed DPs: #1 #10 #12
0.00/0.07	Number of SCCs: 2, DPs: 7
0.00/0.07	  SCC { #9 #11 }
0.00/0.07	POLO(Sum)... succeeded.
0.00/0.07	      s 	w: 1
0.00/0.07	      #plus	w: x1 + x2
0.00/0.07	      #times	w: 0
0.00/0.07	      0 	w: 1
0.00/0.07	      times	w: 0
0.00/0.07	      plus	w: x1 + x2 + 1
0.00/0.07	    USABLE RULES: { 1..3 8 }
0.00/0.07	    Removed DPs: #9
0.00/0.07	Number of SCCs: 2, DPs: 6
0.00/0.07	  SCC { #11 }
0.00/0.07	only weak rules.
0.00/0.07	Number of SCCs: 1, DPs: 5
0.00/0.07	  SCC { #3..6 #8 }
0.00/0.07	POLO(Sum)... POLO(max)... QLPOS... succeeded.
0.00/0.07	      s 	s: [1]	p: 0
0.00/0.07	      #plus	s: {}	p: 1
0.00/0.07	      #times	s: {1,2}	p: 2
0.00/0.07	      0 	s: []	p: 0
0.00/0.07	      times	s: {1,2}	p: 2
0.00/0.07	      plus	s: {1,2}	p: 1
0.00/0.07	    USABLE RULES: { 1..9 }
0.00/0.07	    Removed DPs: #3 #5 #6 #8
0.00/0.07	Number of SCCs: 1, DPs: 1
0.00/0.07	  SCC { #4 }
0.00/0.07	only weak rules.
0.00/0.07	Number of SCCs: 0, DPs: 0
0.00/0.07	Next Dependency Pairs:
0.00/0.07	   #13: #plus(plus(x,s(y)),_1) -> #plus(s(plus(x,y)),_1)
0.00/0.07	   #14: #times(times(x,s(y)),_1) -> #times(plus(times(x,y),x),_1)
0.00/0.07	   #15: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.07	   #16: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.07	   #17: #times(times(x,times(s(y),z)),_1) -> #times(times(plus(times(x,y),x),z),_1)
0.00/0.07	   #18: #times(times(x,times(0(),z)),_1) -> #times(times(0(),z),_1)
0.00/0.07	   #19: #plus(plus(x,plus(s(y),z)),_1) -> #plus(plus(s(plus(x,y)),z),_1)
0.00/0.07	   #20: #plus(plus(x,0()),_1) -> #plus(x,_1)
0.00/0.07	   #21: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.07	   #22: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.07	   #23: #times(times(x,0()),_1) -> #times(0(),_1)
0.00/0.07	Number of SCCs: 2, DPs: 11
0.00/0.07	  SCC { #14..18 #23 }
0.00/0.07	POLO(Sum)... POLO(max)... QLPOS... succeeded.
0.00/0.07	      s 	s: [1]	p: 0
0.00/0.07	      #plus	s: {}	p: 1
0.00/0.07	      #times	s: {1,2}	p: 2
0.00/0.07	      0 	s: []	p: 0
0.00/0.07	      times	s: {1,2}	p: 2
0.00/0.07	      plus	s: {1,2}	p: 1
0.00/0.07	    USABLE RULES: { 1..9 }
0.00/0.07	    Removed DPs: #14 #16..18 #23
0.00/0.07	Number of SCCs: 2, DPs: 6
0.00/0.07	  SCC { #15 }
0.00/0.07	only weak rules.
0.00/0.07	Number of SCCs: 1, DPs: 5
0.00/0.07	  SCC { #13 #19..22 }
0.00/0.07	POLO(Sum)... succeeded.
0.00/0.07	      s 	w: 1
0.00/0.07	      #plus	w: x1 + x2
0.00/0.07	      #times	w: 0
0.00/0.07	      0 	w: 2
0.00/0.07	      times	w: 1
0.00/0.07	      plus	w: x1 + x2 + 1
0.00/0.07	    USABLE RULES: { 1..3 8 }
0.00/0.07	    Removed DPs: #13 #19 #20 #22
0.00/0.07	Number of SCCs: 1, DPs: 1
0.00/0.07	  SCC { #21 }
0.00/0.07	only weak rules.
0.00/0.07	Number of SCCs: 0, DPs: 0
0.00/0.07	EOF