3.49/3.79	YES
3.49/3.80	Input TRS:
3.49/3.80	    1: a(x1) -> b(x1)
3.49/3.80	    2: a(a(x1)) -> a(b(a(x1)))
3.49/3.80	    3: a(b(x1)) -> b(b(b(x1)))
3.49/3.80	    4: a(a(a(x1))) -> a(a(b(a(a(x1)))))
3.49/3.80	    5: a(a(b(x1))) -> a(b(b(a(b(x1)))))
3.49/3.80	    6: a(b(a(x1))) -> b(a(b(b(a(x1)))))
3.49/3.80	    7: a(b(b(x1))) -> b(b(b(b(b(x1)))))
3.49/3.80	    8: b(a(x1)) -> b(b(b(x1)))
3.49/3.80	    9: a(b(a(x1))) -> a(b(b(a(b(x1)))))
3.49/3.80	    10: b(a(a(x1))) -> b(a(b(b(a(x1)))))
3.49/3.80	    11: b(b(a(x1))) -> b(b(b(b(b(x1)))))
3.49/3.80	Number of strict rules: 11
3.49/3.80	Direct POLO(bPol) ... failed.
3.49/3.80	Uncurrying ... failed.
3.49/3.80	Dependency Pairs:
3.49/3.80	   #1: #a(a(x1)) -> #a(b(a(x1)))
3.49/3.80	   #2: #a(a(x1)) -> #b(a(x1))
3.49/3.80	   #3: #a(b(a(x1))) -> #b(a(b(b(a(x1)))))
3.49/3.80	   #4: #a(b(a(x1))) -> #a(b(b(a(x1))))
3.49/3.80	   #5: #a(b(a(x1))) -> #b(b(a(x1)))
3.49/3.80	   #6: #a(b(a(x1))) -> #a(b(b(a(b(x1)))))
3.49/3.80	   #7: #a(b(a(x1))) -> #b(b(a(b(x1))))
3.49/3.80	   #8: #a(b(a(x1))) -> #b(a(b(x1)))
3.49/3.80	   #9: #a(b(a(x1))) -> #a(b(x1))
3.49/3.80	   #10: #a(b(a(x1))) -> #b(x1)
3.49/3.80	   #11: #b(b(a(x1))) -> #b(b(b(b(b(x1)))))
3.49/3.80	   #12: #b(b(a(x1))) -> #b(b(b(b(x1))))
3.49/3.80	   #13: #b(b(a(x1))) -> #b(b(b(x1)))
3.49/3.80	   #14: #b(b(a(x1))) -> #b(b(x1))
3.49/3.80	   #15: #b(b(a(x1))) -> #b(x1)
3.49/3.80	   #16: #a(b(b(x1))) -> #b(b(b(b(b(x1)))))
3.49/3.80	   #17: #a(b(b(x1))) -> #b(b(b(b(x1))))
3.49/3.80	   #18: #a(b(b(x1))) -> #b(b(b(x1)))
3.49/3.80	   #19: #b(a(a(x1))) -> #b(a(b(b(a(x1)))))
3.49/3.80	   #20: #b(a(a(x1))) -> #a(b(b(a(x1))))
3.49/3.80	   #21: #b(a(a(x1))) -> #b(b(a(x1)))
3.49/3.80	   #22: #b(a(a(x1))) -> #b(a(x1))
3.49/3.80	   #23: #a(a(b(x1))) -> #a(b(b(a(b(x1)))))
3.49/3.80	   #24: #a(a(b(x1))) -> #b(b(a(b(x1))))
3.49/3.80	   #25: #a(a(b(x1))) -> #b(a(b(x1)))
3.49/3.80	   #26: #a(b(x1)) -> #b(b(b(x1)))
3.49/3.80	   #27: #a(b(x1)) -> #b(b(x1))
3.49/3.80	   #28: #a(x1) -> #b(x1)
3.49/3.80	   #29: #b(a(x1)) -> #b(b(b(x1)))
3.49/3.80	   #30: #b(a(x1)) -> #b(b(x1))
3.49/3.80	   #31: #b(a(x1)) -> #b(x1)
3.49/3.80	   #32: #a(a(a(x1))) -> #a(a(b(a(a(x1)))))
3.49/3.80	   #33: #a(a(a(x1))) -> #a(b(a(a(x1))))
3.49/3.80	   #34: #a(a(a(x1))) -> #b(a(a(x1)))
3.49/3.80	Number of SCCs: 2, DPs: 27
3.49/3.80	  SCC { #32 }
3.49/3.80	POLO(Sum)... succeeded.
3.49/3.80	      a 	w: x1 + 2
3.49/3.80	      b 	w: 1
3.49/3.80	      #a 	w: x1
3.49/3.80	      #b 	w: 0
3.49/3.80	    USABLE RULES: { 1..3 5..11 }
3.49/3.80	    Removed DPs: #32
3.49/3.80	Number of SCCs: 1, DPs: 26
3.49/3.80	  SCC { #3..22 #26..31 }
3.49/3.80	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
3.49/3.80	      a 	w: max(x1 + 3, 0)
3.49/3.80	      b 	w: max(x1 - 3, 0)
3.49/3.80	      #a 	w: max(x1 + 4, 0)
3.49/3.80	      #b 	w: max(x1 - 1, 0)
3.49/3.80	    USABLE RULES: { 1..11 }
3.49/3.80	    Removed DPs: #3 #5 #7 #8 #10 #16..22 #26..31
3.49/3.80	Number of SCCs: 2, DPs: 8
3.49/3.80	  SCC { #4 #6 #9 }
3.49/3.80	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
3.49/3.80	      a 	w: [1,1;0,1] * x1 + [3;2]
3.49/3.80	      b 	w: [0,1;0,0] * x1 + [1;1]
3.49/3.80	      #a 	w: [1,1;0,1] * x1
3.49/3.80	      #b 	w: [0;0]
3.49/3.80	    USABLE RULES: { 1..11 }
3.49/3.80	    Removed DPs: #4 #6 #9
3.49/3.80	Number of SCCs: 1, DPs: 5
3.49/3.80	  SCC { #11..15 }
3.49/3.80	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
3.49/3.80	      a 	w: [1,1;0,1] * x1 + [1;1]
3.49/3.80	      b 	w: [1,0;0,0] * x1
3.49/3.80	      #a 	w: [0;0]
3.49/3.80	      #b 	w: [1,0;0,0] * x1
3.49/3.80	    USABLE RULES: { 1..11 }
3.49/3.80	    Removed DPs: #11..15
3.49/3.80	Number of SCCs: 0, DPs: 0
3.49/3.80	EOF