0.00/0.04	YES
0.00/0.05	Input TRS:
0.00/0.05	    1: R(x1) -> r(x1)
0.00/0.05	    2: r(p(x1)) -> p(p(r(P(x1))))
0.00/0.05	    3: r(r(x1)) -> x1
0.00/0.05	    4: r(P(P(x1))) -> P(P(r(x1)))
0.00/0.05	    5: p(P(x1)) -> x1
0.00/0.05	    6: P(p(x1)) -> x1
0.00/0.05	    7: r(R(x1)) -> x1
0.00/0.05	    8: R(r(x1)) -> x1
0.00/0.05	Number of strict rules: 8
0.00/0.05	Direct POLO(bPol) ... removes: 8 1 3 7
0.00/0.05	      r 	w: x1 + 1
0.00/0.05	      p 	w: x1
0.00/0.05	      R 	w: 2 * x1 + 2
0.00/0.05	      P 	w: x1
0.00/0.05	Number of strict rules: 4
0.00/0.05	Direct POLO(bPol) ... removes: 5 6
0.00/0.05	      r 	w: 2 * x1 + 1
0.00/0.05	      p 	w: x1 + 1
0.00/0.05	      R 	w: 2 * x1 + 2
0.00/0.05	      P 	w: x1
0.00/0.05	Number of strict rules: 2
0.00/0.05	Direct POLO(bPol) ... failed.
0.00/0.05	Uncurrying r
0.00/0.05	2: r^1_p(x1) -> p(p(r^1_P(x1)))
0.00/0.05	4: r^1_P(P(x1)) -> P(P(r(x1)))
0.00/0.05	9: r(p(_1)) ->= r^1_p(_1)
0.00/0.05	10: r(P(_1)) ->= r^1_P(_1)
0.00/0.05	Number of strict rules: 2
0.00/0.05	Direct POLO(bPol) ... removes: 10
0.00/0.05	      r^1_p	w: 2 * x1 + 3
0.00/0.05	      r 	w: 2 * x1 + 1
0.00/0.05	      p 	w: x1 + 1
0.00/0.05	      R 	w: x1
0.00/0.05	      P 	w: x1 + 1
0.00/0.05	      r^1_P	w: 2 * x1 + 1
0.00/0.05	Number of strict rules: 2
0.00/0.05	Direct POLO(bPol) ... failed.
0.00/0.05	Dependency Pairs:
0.00/0.05	   #1: #r^1_p(x1) -> #r^1_P(x1)
0.00/0.05	   #2: #r(p(_1)) ->? #r^1_p(_1)
0.00/0.05	   #3: #r^1_P(P(x1)) -> #r(x1)
0.00/0.05	Number of SCCs: 1, DPs: 3
0.00/0.05	  SCC { #1..3 }
0.00/0.05	POLO(Sum)... succeeded.
0.00/0.05	      r^1_p	w: 0
0.00/0.05	      r 	w: 0
0.00/0.05	      #r^1_p	w: x1 + 1
0.00/0.05	      p 	w: x1 + 2
0.00/0.05	      #r^1_P	w: x1
0.00/0.05	      R 	w: 0
0.00/0.05	      #r 	w: x1
0.00/0.05	      P 	w: x1 + 1
0.00/0.05	      r^1_P	w: 0
0.00/0.05	    USABLE RULES: { }
0.00/0.05	    Removed DPs: #1..3
0.00/0.05	Number of SCCs: 0, DPs: 0
0.00/0.05	EOF