0.00/0.04	YES
0.00/0.04	Input TRS:
0.00/0.04	    AC symbols: plus
0.00/0.04	    1: f(plus(x,y)) -> plus(f(x),y)
0.00/0.04	    2: plus(g(x),y) -> g(plus(x,y))
0.00/0.04	    3: plus(f(a()),g(b())) -> plus(f(b()),g(a()))
0.00/0.04	    4: h(a(),b()) -> h(b(),a())
0.00/0.04	    5: h(a(),g(g(a()))) -> h(g(a()),f(a()))
0.00/0.04	    6: h(g(a()),a()) -> h(a(),g(b()))
0.00/0.04	    7: h(g(a()),b()) -> h(a(),g(a()))
0.00/0.04	Number of strict rules: 7
0.00/0.04	Direct POLO(bPol) ... removes: 5
0.00/0.04	      a 	w: 1
0.00/0.04	      h 	w: x1 + x2
0.00/0.04	      b 	w: 1
0.00/0.04	      f 	w: x1
0.00/0.04	      plus	w: x1 + x2 + 1
0.00/0.04	      g 	w: x1 + 4
0.00/0.04	Number of strict rules: 6
0.00/0.04	Direct POLO(bPol) ... removes: 1
0.00/0.04	      a 	w: 1
0.00/0.04	      h 	w: x1 + x2
0.00/0.04	      b 	w: 1
0.00/0.04	      f 	w: 2 * x1
0.00/0.04	      plus	w: x1 + x2 + 1
0.00/0.04	      g 	w: x1 + 4
0.00/0.04	Number of strict rules: 5
0.00/0.04	Direct POLO(bPol) ... removes: 4 3 7 6
0.00/0.04	      a 	w: 2
0.00/0.04	      h 	w: 2 * x1 + x2
0.00/0.04	      b 	w: 1
0.00/0.04	      f 	w: 2 * x1
0.00/0.04	      plus	w: x1 + x2 + 1
0.00/0.04	      g 	w: x1 + 2
0.00/0.04	Number of strict rules: 1
0.00/0.04	Direct POLO(bPol) ... failed.
0.00/0.04	Uncurrying ... failed.
0.00/0.04	Dependency Pairs:
0.00/0.04	   #1: #plus(g(x),y) -> #plus(x,y)
0.00/0.04	   #2: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.04	   #3: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.04	Number of SCCs: 1, DPs: 3
0.00/0.04	  SCC { #1..3 }
0.00/0.04	POLO(Sum)... succeeded.
0.00/0.04	      a 	w: 0
0.00/0.04	      h 	w: 0
0.00/0.04	      b 	w: 0
0.00/0.04	      #plus	w: x1 + x2
0.00/0.04	      f 	w: 0
0.00/0.04	      plus	w: x1 + x2 + 1
0.00/0.04	      g 	w: x1 + 1
0.00/0.04	    USABLE RULES: { 2 8 }
0.00/0.04	    Removed DPs: #1 #3
0.00/0.04	Number of SCCs: 1, DPs: 1
0.00/0.04	  SCC { #2 }
0.00/0.04	only weak rules.
0.00/0.04	Number of SCCs: 0, DPs: 0
0.00/0.04	Next Dependency Pairs:
0.00/0.04	   #4: #plus(plus(g(x),y),_1) -> #plus(g(plus(x,y)),_1)
0.00/0.04	   #5: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.04	   #6: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.04	Number of SCCs: 1, DPs: 3
0.00/0.04	  SCC { #4..6 }
0.00/0.04	POLO(Sum)... succeeded.
0.00/0.04	      a 	w: 0
0.00/0.04	      h 	w: 0
0.00/0.04	      b 	w: 0
0.00/0.04	      #plus	w: x1 + x2
0.00/0.04	      f 	w: 0
0.00/0.04	      plus	w: x1 + x2 + 1
0.00/0.04	      g 	w: x1 + 1
0.00/0.04	    USABLE RULES: { 2 8 }
0.00/0.04	    Removed DPs: #6
0.00/0.04	Number of SCCs: 1, DPs: 2
0.00/0.04	  SCC { #4 #5 }
0.00/0.04	POLO(Sum)... succeeded.
0.00/0.04	      a 	w: 0
0.00/0.04	      h 	w: 0
0.00/0.04	      b 	w: 0
0.00/0.04	      #plus	w: x1 + x2
0.00/0.04	      f 	w: 0
0.00/0.04	      plus	w: x1 + x2 + 1
0.00/0.04	      g 	w: 1
0.00/0.04	    USABLE RULES: { 2 8 }
0.00/0.04	    Removed DPs: #4
0.00/0.04	Number of SCCs: 1, DPs: 1
0.00/0.04	  SCC { #5 }
0.00/0.04	only weak rules.
0.00/0.04	Number of SCCs: 0, DPs: 0
0.00/0.04	EOF