0.00/0.50	YES
0.00/0.50	Input TRS:
0.00/0.50	    AC symbols: plus times
0.00/0.50	    1: times(plus(x,y),z) -> plus(times(x,z),times(y,z))
0.00/0.50	    2: times(z,plus(x,f(y))) -> times(g(z,y),plus(x,a()))
0.00/0.50	Number of strict rules: 2
0.00/0.50	Direct POLO(bPol) ... failed.
0.00/0.50	Uncurrying ... failed.
0.00/0.50	Dependency Pairs:
0.00/0.50	   #1: #times(z,plus(x,f(y))) -> #times(g(z,y),plus(x,a()))
0.00/0.50	   #2: #times(z,plus(x,f(y))) -> #plus(x,a())
0.00/0.50	   #3: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.50	   #4: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.50	   #5: #times(plus(x,y),z) -> #plus(times(x,z),times(y,z))
0.00/0.50	   #6: #times(plus(x,y),z) -> #times(x,z)
0.00/0.50	   #7: #times(plus(x,y),z) -> #times(y,z)
0.00/0.50	   #8: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.50	   #9: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.50	Number of SCCs: 2, DPs: 7
0.00/0.50	  SCC { #3 #4 }
0.00/0.50	only weak rules.
0.00/0.50	Number of SCCs: 1, DPs: 5
0.00/0.50	  SCC { #1 #6..9 }
0.00/0.50	POLO(Sum)... POLO(max)... QLPOS... succeeded.
0.00/0.50	      a 	s: []	p: 0
0.00/0.50	      f 	s: [1]	p: 1
0.00/0.50	      #times	s: {1,2}	p: 2
0.00/0.50	      times	s: {1,2}	p: 2
0.00/0.50	      plus	s: {1,2}	p: 0
0.00/0.50	      g 	s: 1
0.00/0.50	    USABLE RULES: { 1..4 }
0.00/0.50	    Removed DPs: #1 #6 #7 #9
0.00/0.50	Number of SCCs: 1, DPs: 1
0.00/0.50	  SCC { #8 }
0.00/0.50	only weak rules.
0.00/0.50	Number of SCCs: 0, DPs: 0
0.00/0.50	Next Dependency Pairs:
0.00/0.50	   #10: #times(times(z,plus(x,f(y))),_1) -> #times(times(g(z,y),plus(x,a())),_1)
0.00/0.50	   #11: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.50	   #12: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.50	   #13: #times(times(plus(x,y),z),_1) -> #times(plus(times(x,z),times(y,z)),_1)
0.00/0.50	   #14: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.50	   #15: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.50	Number of SCCs: 2, DPs: 6
0.00/0.50	  SCC { #11 #12 }
0.00/0.50	only weak rules.
0.00/0.50	Number of SCCs: 1, DPs: 4
0.00/0.50	  SCC { #10 #13..15 }
0.00/0.50	POLO(Sum)... succeeded.
0.00/0.50	      a 	w: 1
0.00/0.50	      f 	w: 1
0.00/0.50	      #times	w: x1 + x2
0.00/0.50	      times	w: x1 + x2 + 1
0.00/0.50	      plus	w: 1
0.00/0.50	      g 	w: 0
0.00/0.50	    USABLE RULES: { 1..4 }
0.00/0.50	    Removed DPs: #13 #15
0.00/0.50	Number of SCCs: 1, DPs: 2
0.00/0.50	  SCC { #10 #14 }
0.00/0.50	POLO(Sum)... POLO(max)... QLPOS... succeeded.
0.00/0.50	      a 	s: []	p: 0
0.00/0.50	      f 	s: [1]	p: 1
0.00/0.50	      #times	s: {1,2}	p: 2
0.00/0.50	      times	s: {1,2}	p: 2
0.00/0.50	      plus	s: {1,2}	p: 0
0.00/0.50	      g 	s: 1
0.00/0.50	    USABLE RULES: { 1..4 }
0.00/0.50	    Removed DPs: #10
0.00/0.50	Number of SCCs: 1, DPs: 1
0.00/0.51	  SCC { #14 }
0.00/0.51	only weak rules.
0.00/0.51	Number of SCCs: 0, DPs: 0
0.00/0.51	EOF