0.00/0.06	YES
0.00/0.06	Input TRS:
0.00/0.06	    AC symbols: plus times
0.00/0.06	    1: plus(x,0()) -> x
0.00/0.06	    2: plus(s(x),y) -> s(plus(x,y))
0.00/0.06	    3: times(x,0()) -> 0()
0.00/0.06	    4: times(s(x),y) -> plus(times(x,y),y)
0.00/0.06	    5: times(x,plus(y,z)) -> plus(times(x,y),times(x,z))
0.00/0.06	Number of strict rules: 5
0.00/0.06	Direct POLO(bPol) ... failed.
0.00/0.06	Uncurrying ... failed.
0.00/0.06	Dependency Pairs:
0.00/0.06	   #1: #plus(s(x),y) -> #plus(x,y)
0.00/0.06	   #2: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.06	   #3: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.06	   #4: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.06	   #5: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.06	   #6: #times(x,plus(y,z)) -> #plus(times(x,y),times(x,z))
0.00/0.06	   #7: #times(x,plus(y,z)) -> #times(x,y)
0.00/0.06	   #8: #times(x,plus(y,z)) -> #times(x,z)
0.00/0.06	   #9: #times(s(x),y) -> #plus(times(x,y),y)
0.00/0.06	   #10: #times(s(x),y) -> #times(x,y)
0.00/0.06	Number of SCCs: 2, DPs: 8
0.00/0.06	  SCC { #1..3 }
0.00/0.06	POLO(Sum)... succeeded.
0.00/0.06	      s 	w: x1 + 1
0.00/0.06	      #plus	w: x1 + x2
0.00/0.06	      #times	w: 0
0.00/0.06	      0 	w: 1
0.00/0.06	      times	w: 0
0.00/0.06	      plus	w: x1 + x2 + 1
0.00/0.06	    USABLE RULES: { 1 2 6 }
0.00/0.06	    Removed DPs: #1 #3
0.00/0.06	Number of SCCs: 2, DPs: 6
0.00/0.06	  SCC { #2 }
0.00/0.06	only weak rules.
0.00/0.06	Number of SCCs: 1, DPs: 5
0.00/0.06	  SCC { #4 #5 #7 #8 #10 }
0.00/0.06	POLO(Sum)... POLO(max)... QLPOS... succeeded.
0.00/0.06	      s 	s: [1]	p: 0
0.00/0.06	      #plus	s: {}	p: 1
0.00/0.06	      #times	s: {1,2}	p: 2
0.00/0.06	      0 	s: []	p: 0
0.00/0.06	      times	s: {1,2}	p: 2
0.00/0.06	      plus	s: {1,2}	p: 1
0.00/0.06	    USABLE RULES: { 1..7 }
0.00/0.06	    Removed DPs: #5 #7 #8 #10
0.00/0.06	Number of SCCs: 1, DPs: 1
0.00/0.06	  SCC { #4 }
0.00/0.06	only weak rules.
0.00/0.06	Number of SCCs: 0, DPs: 0
0.00/0.06	Next Dependency Pairs:
0.00/0.06	   #11: #plus(plus(s(x),y),_1) -> #plus(s(plus(x,y)),_1)
0.00/0.06	   #12: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.06	   #13: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.06	   #14: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.06	   #15: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.06	   #16: #times(times(x,plus(y,z)),_1) -> #times(plus(times(x,y),times(x,z)),_1)
0.00/0.06	   #17: #times(times(x,0()),_1) -> #times(0(),_1)
0.00/0.06	   #18: #plus(plus(x,0()),_1) -> #plus(x,_1)
0.00/0.06	   #19: #times(times(s(x),y),_1) -> #times(plus(times(x,y),y),_1)
0.00/0.06	Number of SCCs: 2, DPs: 9
0.00/0.06	  SCC { #11..13 #18 }
0.00/0.06	POLO(Sum)... succeeded.
0.00/0.06	      s 	w: 1
0.00/0.06	      #plus	w: x1 + x2
0.00/0.06	      #times	w: 0
0.00/0.06	      0 	w: 1
0.00/0.06	      times	w: x1 + x2 + 1
0.00/0.06	      plus	w: x1 + x2 + 2
0.00/0.06	    USABLE RULES: { 1 2 6 }
0.00/0.06	    Removed DPs: #11 #13 #18
0.00/0.06	Number of SCCs: 2, DPs: 6
0.00/0.06	  SCC { #12 }
0.00/0.06	only weak rules.
0.00/0.06	Number of SCCs: 1, DPs: 5
0.00/0.06	  SCC { #14..17 #19 }
0.00/0.06	POLO(Sum)... POLO(max)... QLPOS... succeeded.
0.00/0.06	      s 	s: [1]	p: 0
0.00/0.06	      #plus	s: {}	p: 1
0.00/0.06	      #times	s: {1,2}	p: 2
0.00/0.06	      0 	s: []	p: 0
0.00/0.06	      times	s: {1,2}	p: 2
0.00/0.06	      plus	s: {1,2}	p: 1
0.00/0.06	    USABLE RULES: { 1..7 }
0.00/0.06	    Removed DPs: #15..17 #19
0.00/0.06	Number of SCCs: 1, DPs: 1
0.00/0.06	  SCC { #14 }
0.00/0.06	only weak rules.
0.00/0.06	Number of SCCs: 0, DPs: 0
0.00/0.06	EOF