0.00/0.03	YES
0.00/0.03	Input TRS:
0.00/0.03	    AC symbols: plus
0.00/0.03	    1: minus(x,0()) -> x
0.00/0.03	    2: minus(s(x),s(y)) -> minus(x,y)
0.00/0.03	    3: minus(minus(x,y),z) -> minus(x,plus(y,z))
0.00/0.03	    4: quot(0(),s(y)) -> 0()
0.00/0.03	    5: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
0.00/0.03	    6: plus(0(),y) -> y
0.00/0.03	    7: plus(s(x),y) -> s(plus(x,y))
0.00/0.03	Number of strict rules: 7
0.00/0.03	Direct POLO(bPol) ... failed.
0.00/0.03	Uncurrying ... failed.
0.00/0.03	Dependency Pairs:
0.00/0.03	   #1: #minus(s(x),s(y)) -> #minus(x,y)
0.00/0.03	   #2: #plus(s(x),y) -> #plus(x,y)
0.00/0.03	   #3: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y))
0.00/0.03	   #4: #quot(s(x),s(y)) -> #minus(x,y)
0.00/0.03	   #5: #minus(minus(x,y),z) -> #minus(x,plus(y,z))
0.00/0.03	   #6: #minus(minus(x,y),z) -> #plus(y,z)
0.00/0.03	   #7: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.03	   #8: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.03	Number of SCCs: 3, DPs: 6
0.00/0.03	  SCC { #3 }
0.00/0.03	POLO(Sum)... succeeded.
0.00/0.03	      s 	w: x1 + 2
0.00/0.03	      minus	w: x1 + 1
0.00/0.03	      #plus	w: 0
0.00/0.03	      0 	w: 1
0.00/0.03	      quot	w: 0
0.00/0.03	      #minus	w: 0
0.00/0.03	      plus	w: x1 + x2 + 1
0.00/0.03	      #quot	w: x1
0.00/0.03	    USABLE RULES: { 1..3 6..8 }
0.00/0.03	    Removed DPs: #3
0.00/0.03	Number of SCCs: 2, DPs: 5
0.00/0.03	  SCC { #1 #5 }
0.00/0.03	POLO(Sum)... succeeded.
0.00/0.03	      s 	w: x1 + 2
0.00/0.03	      minus	w: x1 + x2 + 2
0.00/0.03	      #plus	w: 0
0.00/0.03	      0 	w: 0
0.00/0.03	      quot	w: 0
0.00/0.03	      #minus	w: x1 + x2
0.00/0.03	      plus	w: x1 + x2 + 1
0.00/0.03	      #quot	w: x1
0.00/0.03	    USABLE RULES: { 1..3 6..8 }
0.00/0.03	    Removed DPs: #1 #5
0.00/0.03	Number of SCCs: 1, DPs: 3
0.00/0.03	  SCC { #2 #7 #8 }
0.00/0.03	POLO(Sum)... succeeded.
0.00/0.03	      s 	w: x1 + 2
0.00/0.03	      minus	w: x1 + x2 + 2
0.00/0.03	      #plus	w: x1 + x2
0.00/0.03	      0 	w: 0
0.00/0.03	      quot	w: 0
0.00/0.03	      #minus	w: x2
0.00/0.03	      plus	w: x1 + x2 + 1
0.00/0.03	      #quot	w: x1
0.00/0.03	    USABLE RULES: { 1..3 6..8 }
0.00/0.03	    Removed DPs: #2 #8
0.00/0.03	Number of SCCs: 1, DPs: 1
0.00/0.03	  SCC { #7 }
0.00/0.03	only weak rules.
0.00/0.03	Number of SCCs: 0, DPs: 0
0.00/0.03	Next Dependency Pairs:
0.00/0.03	   #9: #plus(plus(0(),y),_1) -> #plus(y,_1)
0.00/0.03	   #10: #plus(plus(s(x),y),_1) -> #plus(s(plus(x,y)),_1)
0.00/0.03	   #11: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.03	   #12: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.03	Number of SCCs: 1, DPs: 4
0.00/0.03	  SCC { #9..12 }
0.00/0.03	POLO(Sum)... succeeded.
0.00/0.03	      s 	w: x1 + 2
0.00/0.03	      minus	w: x1 + x2 + 2
0.00/0.03	      #plus	w: x1 + x2
0.00/0.03	      0 	w: 0
0.00/0.03	      quot	w: 0
0.00/0.03	      #minus	w: x2
0.00/0.03	      plus	w: x1 + x2 + 1
0.00/0.03	      #quot	w: x1
0.00/0.03	    USABLE RULES: { 1..3 6..8 }
0.00/0.03	    Removed DPs: #9 #12
0.00/0.03	Number of SCCs: 1, DPs: 2
0.00/0.03	  SCC { #10 #11 }
0.00/0.03	POLO(Sum)... succeeded.
0.00/0.03	      s 	w: 2
0.00/0.03	      minus	w: x1 + x2 + 2
0.00/0.03	      #plus	w: x1 + x2
0.00/0.03	      0 	w: 0
0.00/0.03	      quot	w: 0
0.00/0.03	      #minus	w: x2
0.00/0.03	      plus	w: x1 + x2 + 1
0.00/0.03	      #quot	w: 0
0.00/0.03	    USABLE RULES: { 6..8 }
0.00/0.03	    Removed DPs: #10
0.00/0.03	Number of SCCs: 1, DPs: 1
0.00/0.03	  SCC { #11 }
0.00/0.03	only weak rules.
0.00/0.03	Number of SCCs: 0, DPs: 0
0.00/0.03	EOF