0.00/0.03	YES
0.00/0.03	Input TRS:
0.00/0.03	    AC symbols: union
0.00/0.03	    1: union(empty(),X) -> X
0.00/0.03	    2: max(singl(x)) -> x
0.00/0.03	    3: max(union(singl(x),singl(0()))) -> x
0.00/0.03	    4: max(union(singl(s(x)),singl(s(y)))) -> s(max(union(singl(x),singl(y))))
0.00/0.03	    5: max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z)))))
0.00/0.03	Number of strict rules: 5
0.00/0.03	Direct POLO(bPol) ... removes: 4 1 3
0.00/0.03	      s 	w: x1 + 1
0.00/0.03	      0 	w: 1
0.00/0.03	      max	w: x1
0.00/0.03	      union	w: x1 + x2 + 1
0.00/0.03	      singl	w: x1
0.00/0.03	      empty	w: 1
0.00/0.03	Number of strict rules: 2
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: #union(x,union(y,z)) ->= #union(union(x,y),z)
0.00/0.03	   #2: #union(x,union(y,z)) ->= #union(x,y)
0.00/0.03	   #3: #max(union(singl(x),union(Y,Z))) -> #max(union(singl(x),singl(max(union(Y,Z)))))
0.00/0.03	   #4: #max(union(singl(x),union(Y,Z))) -> #union(singl(x),singl(max(union(Y,Z))))
0.00/0.03	   #5: #max(union(singl(x),union(Y,Z))) -> #max(union(Y,Z))
0.00/0.03	Number of SCCs: 2, DPs: 4
0.00/0.03	  SCC { #1 #2 }
0.00/0.03	only weak rules.
0.00/0.03	Number of SCCs: 1, DPs: 2
0.00/0.03	  SCC { #3 #5 }
0.00/0.03	POLO(Sum)... succeeded.
0.00/0.03	      s 	w: 0
0.00/0.03	      0 	w: 0
0.00/0.03	      max	w: 1
0.00/0.03	      union	w: x1 + x2 + 2
0.00/0.03	      #max	w: x1
0.00/0.03	      singl	w: 1
0.00/0.03	      empty	w: 0
0.00/0.03	    USABLE RULES: { 6 }
0.00/0.03	    Removed DPs: #3 #5
0.00/0.03	Number of SCCs: 0, DPs: 0
0.00/0.03	Next Dependency Pairs:
0.00/0.03	   #6: #union(x,union(y,z)) ->= #union(union(x,y),z)
0.00/0.03	   #7: #union(x,union(y,z)) ->= #union(x,y)
0.00/0.03	Number of SCCs: 1, DPs: 2
0.00/0.03	  SCC { #6 #7 }
0.00/0.03	only weak rules.
0.00/0.03	Number of SCCs: 0, DPs: 0
0.00/0.03	EOF