0.00/0.14	YES
0.00/0.14	Input TRS:
0.00/0.14	    1: q(0(x1)) -> p(p(s(s(0(s(s(s(s(x1)))))))))
0.00/0.14	    2: q(s(x1)) -> p(p(s(s(s(s(s(s(r(p(p(s(s(x1)))))))))))))
0.00/0.14	    3: r(0(x1)) -> p(s(p(s(0(p(p(p(s(s(s(x1)))))))))))
0.00/0.14	    4: r(s(x1)) -> p(s(p(s(s(q(p(s(p(s(x1))))))))))
0.00/0.14	    5: p(p(s(x1))) -> p(x1)
0.00/0.14	    6: p(s(x1)) -> x1
0.00/0.14	    7: p(0(x1)) -> 0(s(s(s(x1))))
0.00/0.14	Number of strict rules: 7
0.00/0.14	Direct POLO(bPol) ... removes: 1 3
0.00/0.14	      q 	w: 2 * x1 + 1
0.00/0.14	      s 	w: x1
0.00/0.14	      r 	w: 2 * x1 + 1
0.00/0.14	      p 	w: x1
0.00/0.14	      0 	w: x1 + 1
0.00/0.14	Number of strict rules: 5
0.00/0.14	Direct POLO(bPol) ... failed.
0.00/0.14	Uncurrying p
0.00/0.14	2: q(s(x1)) -> p(p^1_s(s(s(s(s(s(r(p(p^1_s(s(x1)))))))))))
0.00/0.14	4: r(s(x1)) -> p^1_s(p^1_s(s(q(p^1_s(p^1_s(x1))))))
0.00/0.14	5: p(p^1_s(x1)) -> p(x1)
0.00/0.14	6: p^1_s(x1) -> x1
0.00/0.14	7: p^1_0(x1) -> 0(s(s(s(x1))))
0.00/0.14	8: p(0(_1)) ->= p^1_0(_1)
0.00/0.14	9: p(s(_1)) ->= p^1_s(_1)
0.00/0.14	Number of strict rules: 5
0.00/0.14	Direct POLO(bPol) ... failed.
0.00/0.14	Dependency Pairs:
0.00/0.14	   #1: #q(s(x1)) -> #p(p^1_s(s(s(s(s(s(r(p(p^1_s(s(x1)))))))))))
0.00/0.14	   #2: #q(s(x1)) -> #p^1_s(s(s(s(s(s(r(p(p^1_s(s(x1))))))))))
0.00/0.14	   #3: #q(s(x1)) -> #r(p(p^1_s(s(x1))))
0.00/0.14	   #4: #q(s(x1)) -> #p(p^1_s(s(x1)))
0.00/0.14	   #5: #q(s(x1)) -> #p^1_s(s(x1))
0.00/0.14	   #6: #p(s(_1)) ->? #p^1_s(_1)
0.00/0.14	   #7: #p(p^1_s(x1)) -> #p(x1)
0.00/0.14	   #8: #p(0(_1)) ->? #p^1_0(_1)
0.00/0.14	   #9: #r(s(x1)) -> #p^1_s(p^1_s(s(q(p^1_s(p^1_s(x1))))))
0.00/0.14	   #10: #r(s(x1)) -> #p^1_s(s(q(p^1_s(p^1_s(x1)))))
0.00/0.14	   #11: #r(s(x1)) -> #q(p^1_s(p^1_s(x1)))
0.00/0.14	   #12: #r(s(x1)) -> #p^1_s(p^1_s(x1))
0.00/0.14	   #13: #r(s(x1)) -> #p^1_s(x1)
0.00/0.14	Number of SCCs: 2, DPs: 3
0.00/0.14	  SCC { #7 }
0.00/0.14	POLO(Sum)... succeeded.
0.00/0.14	      q 	w: 0
0.00/0.14	      s 	w: 0
0.00/0.14	      #p^1_0	w: 0
0.00/0.14	      #p^1_s	w: 0
0.00/0.14	      r 	w: 0
0.00/0.14	      p^1_0	w: 0
0.00/0.14	      p^1_s	w: x1 + 1
0.00/0.14	      #p 	w: x1
0.00/0.14	      p 	w: 0
0.00/0.14	      0 	w: 0
0.00/0.14	      #r 	w: 0
0.00/0.14	      #q 	w: 0
0.00/0.14	    USABLE RULES: { }
0.00/0.14	    Removed DPs: #7
0.00/0.14	Number of SCCs: 1, DPs: 2
0.00/0.14	  SCC { #3 #11 }
0.00/0.14	POLO(Sum)... succeeded.
0.00/0.14	      q 	w: 0
0.00/0.14	      s 	w: x1 + 5
0.00/0.14	      #p^1_0	w: 0
0.00/0.14	      #p^1_s	w: 0
0.00/0.14	      r 	w: 0
0.00/0.14	      p^1_0	w: 1
0.00/0.14	      p^1_s	w: x1 + 1
0.00/0.14	      #p 	w: 0
0.00/0.14	      p 	w: x1
0.00/0.14	      0 	w: 1
0.00/0.14	      #r 	w: x1
0.00/0.14	      #q 	w: x1 + 2
0.00/0.14	    USABLE RULES: { 5..9 }
0.00/0.14	    Removed DPs: #3 #11
0.00/0.14	Number of SCCs: 0, DPs: 0
0.00/0.14	EOF