0.00/0.05	YES
0.00/0.05	Input TRS:
0.00/0.05	    1: a(a(x1)) -> b(b(b(x1)))
0.00/0.05	    2: a(x1) -> d(c(d(x1)))
0.00/0.05	    3: b(b(b(x1))) -> a(f(x1))
0.00/0.05	    4: b(b(x1)) -> c(c(c(x1)))
0.00/0.05	    5: c(c(x1)) -> d(d(d(x1)))
0.00/0.05	    6: c(d(d(x1))) -> f(x1)
0.00/0.05	    7: f(f(x1)) -> f(a(x1))
0.00/0.05	Number of strict rules: 7
0.00/0.05	Direct POLO(bPol) ... removes: 4 5
0.00/0.05	      a 	w: x1 + 39
0.00/0.05	      d 	w: x1 + 11
0.00/0.05	      b 	w: x1 + 26
0.00/0.05	      c 	w: x1 + 17
0.00/0.05	      f 	w: x1 + 39
0.00/0.05	Number of strict rules: 5
0.00/0.05	Direct POLO(bPol) ... failed.
0.00/0.05	Uncurrying c
0.00/0.05	1: a(a(x1)) -> b(b(b(x1)))
0.00/0.05	2: a(x1) -> d(c^1_d(x1))
0.00/0.05	3: b(b(b(x1))) -> a(f(x1))
0.00/0.05	6: c^1_d(d(x1)) -> f(x1)
0.00/0.05	7: f(f(x1)) -> f(a(x1))
0.00/0.05	8: c(d(_1)) ->= c^1_d(_1)
0.00/0.05	Number of strict rules: 5
0.00/0.05	Direct POLO(bPol) ... removes: 8
0.00/0.05	      a 	w: x1 + 6
0.00/0.05	      d 	w: x1 + 3
0.00/0.05	      b 	w: x1 + 4
0.00/0.05	      c 	w: x1 + 1
0.00/0.05	      c^1_d	w: x1 + 3
0.00/0.05	      f 	w: x1 + 6
0.00/0.05	Number of strict rules: 5
0.00/0.05	Direct POLO(bPol) ... failed.
0.00/0.05	Dependency Pairs:
0.00/0.05	   #1: #a(x1) -> #c^1_d(x1)
0.00/0.05	   #2: #c^1_d(d(x1)) -> #f(x1)
0.00/0.05	   #3: #f(f(x1)) -> #f(a(x1))
0.00/0.05	   #4: #f(f(x1)) -> #a(x1)
0.00/0.05	   #5: #b(b(b(x1))) -> #a(f(x1))
0.00/0.05	   #6: #b(b(b(x1))) -> #f(x1)
0.00/0.05	   #7: #a(a(x1)) -> #b(b(b(x1)))
0.00/0.05	   #8: #a(a(x1)) -> #b(b(x1))
0.00/0.05	   #9: #a(a(x1)) -> #b(x1)
0.00/0.05	Number of SCCs: 1, DPs: 8
0.00/0.05	  SCC { #1 #2 #4..9 }
0.00/0.05	POLO(Sum)... succeeded.
0.00/0.05	      a 	w: x1 + 3
0.00/0.05	      d 	w: x1 + 2
0.00/0.05	      b 	w: x1 + 2
0.00/0.05	      #c^1_d	w: x1
0.00/0.05	      c 	w: 0
0.00/0.05	      c^1_d	w: x1 + 1
0.00/0.05	      f 	w: x1 + 3
0.00/0.05	      #f 	w: x1 + 1
0.00/0.05	      #a 	w: x1 + 1
0.00/0.05	      #b 	w: x1
0.00/0.05	    USABLE RULES: { 1..3 6 7 }
0.00/0.05	    Removed DPs: #1 #2 #4 #6 #8 #9
0.00/0.05	Number of SCCs: 0, DPs: 0
0.00/0.05	EOF