0.00/0.02	YES
0.00/0.02	Input TRS:
0.00/0.02	    AC symbols: plus
0.00/0.02	    1: plus(0(),y) -> y
0.00/0.02	    2: plus(s(x),0()) -> s(x)
0.00/0.02	    3: plus(s(x),s(y)) -> s(plus(s(x),plus(y,0())))
0.00/0.02	Number of strict rules: 3
0.00/0.02	Direct POLO(bPol) ... failed.
0.00/0.02	Uncurrying ... failed.
0.00/0.02	Dependency Pairs:
0.00/0.02	   #1: #plus(s(x),s(y)) -> #plus(s(x),plus(y,0()))
0.00/0.02	   #2: #plus(s(x),s(y)) -> #plus(y,0())
0.00/0.02	   #3: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.02	   #4: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.02	Number of SCCs: 1, DPs: 4
0.00/0.02	  SCC { #1..4 }
0.00/0.02	POLO(Sum)... succeeded.
0.00/0.02	      s 	w: x1 + 1
0.00/0.02	      #plus	w: x1 + x2
0.00/0.02	      0 	w: 0
0.00/0.02	      plus	w: x1 + x2
0.00/0.02	    USABLE RULES: { 1..4 }
0.00/0.02	    Removed DPs: #1 #2
0.00/0.02	Number of SCCs: 1, DPs: 2
0.00/0.02	  SCC { #3 #4 }
0.00/0.02	only weak rules.
0.00/0.02	Number of SCCs: 0, DPs: 0
0.00/0.02	Next Dependency Pairs:
0.00/0.02	   #5: #plus(plus(s(x),0()),_1) -> #plus(s(x),_1)
0.00/0.02	   #6: #plus(plus(s(x),s(y)),_1) -> #plus(s(plus(s(x),plus(y,0()))),_1)
0.00/0.02	   #7: #plus(plus(0(),y),_1) -> #plus(y,_1)
0.00/0.02	   #8: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.02	   #9: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.02	Number of SCCs: 1, DPs: 5
0.00/0.02	  SCC { #5..9 }
0.00/0.02	POLO(Sum)... succeeded.
0.00/0.02	      s 	w: 1
0.00/0.02	      #plus	w: x1 + x2
0.00/0.02	      0 	w: 0
0.00/0.02	      plus	w: x1 + x2 + 1
0.00/0.02	    USABLE RULES: { 1..4 }
0.00/0.02	    Removed DPs: #5..7 #9
0.00/0.02	Number of SCCs: 1, DPs: 1
0.00/0.02	  SCC { #8 }
0.00/0.02	only weak rules.
0.00/0.02	Number of SCCs: 0, DPs: 0
0.00/0.02	EOF