0.00/0.04	YES
0.00/0.04	Input TRS:
0.00/0.04	    1: P(x1) -> Q(Q(p(x1)))
0.00/0.04	    2: p(p(x1)) -> q(q(x1))
0.00/0.04	    3: p(Q(Q(x1))) -> Q(Q(p(x1)))
0.00/0.04	    4: Q(p(q(x1))) -> q(p(Q(x1)))
0.00/0.04	    5: q(q(p(x1))) -> p(q(q(x1)))
0.00/0.04	    6: q(Q(x1)) -> x1
0.00/0.04	    7: Q(q(x1)) -> x1
0.00/0.04	    8: p(P(x1)) -> x1
0.00/0.04	    9: P(p(x1)) -> x1
0.00/0.04	Number of strict rules: 9
0.00/0.04	Direct POLO(bPol) ... removes: 8 1 7 9 6 2
0.00/0.04	      Q 	w: x1 + 1
0.00/0.04	      q 	w: x1 + 1
0.00/0.04	      p 	w: x1 + 2
0.00/0.04	      P 	w: x1 + 5
0.00/0.04	Number of strict rules: 3
0.00/0.04	Direct POLO(bPol) ... removes: 4
0.00/0.04	      Q 	w: 2 * x1 + 1
0.00/0.04	      q 	w: x1 + 1
0.00/0.04	      p 	w: x1
0.00/0.04	      P 	w: x1 + 7
0.00/0.04	Number of strict rules: 2
0.00/0.04	Direct POLO(bPol) ... removes: 3
0.00/0.04	      Q 	w: x1 + 1
0.00/0.04	      q 	w: x1
0.00/0.04	      p 	w: 2 * x1
0.00/0.04	      P 	w: x1 + 7
0.00/0.04	Number of strict rules: 1
0.00/0.04	Direct POLO(bPol) ... removes: 5
0.00/0.04	      Q 	w: x1 + 1
0.00/0.04	      q 	w: 2 * x1 + 2
0.00/0.04	      p 	w: x1 + 3
0.00/0.04	      P 	w: 2 * x1 + 4
0.00/0.04	Number of strict rules: 0
0.00/0.04	EOF