0.00/0.39	YES
0.00/0.39	Input TRS:
0.00/0.39	    1: v(s(x1)) -> s(p(p(s(s(s(s(s(s(s(s(w(p(p(s(s(p(s(p(s(x1))))))))))))))))))))
0.00/0.39	    2: v(0(x1)) -> p(p(s(s(0(p(p(s(s(s(s(s(x1))))))))))))
0.00/0.39	    3: w(s(x1)) -> s(s(s(s(s(s(p(p(s(s(v(p(p(s(s(s(p(p(s(s(x1))))))))))))))))))))
0.00/0.39	    4: w(0(x1)) -> p(s(p(p(p(p(p(p(p(p(s(s(0(s(s(s(s(s(s(x1)))))))))))))))))))
0.00/0.39	    5: p(p(s(x1))) -> p(x1)
0.00/0.39	    6: p(s(x1)) -> x1
0.00/0.39	    7: p(0(x1)) -> 0(s(s(s(s(s(s(s(p(s(x1))))))))))
0.00/0.39	Number of strict rules: 7
0.00/0.39	Direct POLO(bPol) ... removes: 4 2
0.00/0.39	      s 	w: x1
0.00/0.39	      v 	w: x1 + 1
0.00/0.39	      w 	w: x1 + 1
0.00/0.39	      p 	w: x1
0.00/0.39	      0 	w: x1 + 1
0.00/0.39	Number of strict rules: 5
0.00/0.39	Direct POLO(bPol) ... failed.
0.00/0.39	Uncurrying p
0.00/0.39	1: v(s(x1)) -> s(p(p^1_s(s(s(s(s(s(s(s(w(p(p^1_s(s(p^1_s(p^1_s(x1))))))))))))))))
0.00/0.39	3: w(s(x1)) -> s(s(s(s(s(s(p(p^1_s(s(v(p(p^1_s(s(s(p(p^1_s(s(x1)))))))))))))))))
0.00/0.39	5: p(p^1_s(x1)) -> p(x1)
0.00/0.39	6: p^1_s(x1) -> x1
0.00/0.39	7: p^1_0(x1) -> 0(s(s(s(s(s(s(s(p^1_s(x1)))))))))
0.00/0.39	8: p(0(_1)) ->= p^1_0(_1)
0.00/0.39	9: p(s(_1)) ->= p^1_s(_1)
0.00/0.39	Number of strict rules: 5
0.00/0.39	Direct POLO(bPol) ... failed.
0.00/0.39	Dependency Pairs:
0.00/0.39	   #1: #p(s(_1)) ->? #p^1_s(_1)
0.00/0.39	   #2: #p^1_0(x1) -> #p^1_s(x1)
0.00/0.39	   #3: #p(p^1_s(x1)) -> #p(x1)
0.00/0.39	   #4: #w(s(x1)) -> #p(p^1_s(s(v(p(p^1_s(s(s(p(p^1_s(s(x1)))))))))))
0.00/0.39	   #5: #w(s(x1)) -> #p^1_s(s(v(p(p^1_s(s(s(p(p^1_s(s(x1))))))))))
0.00/0.39	   #6: #w(s(x1)) -> #v(p(p^1_s(s(s(p(p^1_s(s(x1))))))))
0.00/0.39	   #7: #w(s(x1)) -> #p(p^1_s(s(s(p(p^1_s(s(x1)))))))
0.00/0.39	   #8: #w(s(x1)) -> #p^1_s(s(s(p(p^1_s(s(x1))))))
0.00/0.39	   #9: #w(s(x1)) -> #p(p^1_s(s(x1)))
0.00/0.39	   #10: #w(s(x1)) -> #p^1_s(s(x1))
0.00/0.39	   #11: #v(s(x1)) -> #p(p^1_s(s(s(s(s(s(s(s(w(p(p^1_s(s(p^1_s(p^1_s(x1)))))))))))))))
0.00/0.39	   #12: #v(s(x1)) -> #p^1_s(s(s(s(s(s(s(s(w(p(p^1_s(s(p^1_s(p^1_s(x1))))))))))))))
0.00/0.39	   #13: #v(s(x1)) -> #w(p(p^1_s(s(p^1_s(p^1_s(x1))))))
0.00/0.39	   #14: #v(s(x1)) -> #p(p^1_s(s(p^1_s(p^1_s(x1)))))
0.00/0.39	   #15: #v(s(x1)) -> #p^1_s(s(p^1_s(p^1_s(x1))))
0.00/0.39	   #16: #v(s(x1)) -> #p^1_s(p^1_s(x1))
0.00/0.39	   #17: #v(s(x1)) -> #p^1_s(x1)
0.00/0.39	   #18: #p(0(_1)) ->? #p^1_0(_1)
0.00/0.39	Number of SCCs: 2, DPs: 3
0.00/0.39	  SCC { #3 }
0.00/0.39	POLO(Sum)... succeeded.
0.00/0.39	      s 	w: 0
0.00/0.39	      v 	w: 0
0.00/0.39	      #p^1_0	w: 0
0.00/0.39	      #w 	w: 0
0.00/0.39	      #p^1_s	w: 0
0.00/0.39	      p^1_0	w: 0
0.00/0.39	      w 	w: 0
0.00/0.39	      p^1_s	w: x1 + 1
0.00/0.39	      #p 	w: x1
0.00/0.39	      p 	w: 0
0.00/0.39	      0 	w: 0
0.00/0.39	      #v 	w: 0
0.00/0.39	    USABLE RULES: { }
0.00/0.39	    Removed DPs: #3
0.00/0.39	Number of SCCs: 1, DPs: 2
0.00/0.39	  SCC { #6 #13 }
0.00/0.39	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
0.00/0.39	      s 	w: max(x1 + 11, 0)
0.00/0.39	      v 	w: max(x1 - 1, 0)
0.00/0.39	      #p^1_0	w: 0
0.00/0.39	      #w 	w: max(x1 - 5, 0)
0.00/0.39	      #p^1_s	w: max(x1 - 1, 0)
0.00/0.39	      p^1_0	w: 0
0.00/0.39	      w 	w: max(x1 - 1, 0)
0.00/0.39	      p^1_s	w: max(x1 + 1, 0)
0.00/0.39	      #p 	w: max(x1 - 1, 0)
0.00/0.39	      p 	w: max(x1 - 10, 0)
0.00/0.39	      0 	w: 0
0.00/0.39	      #v 	w: max(x1 - 10, 0)
0.00/0.39	    USABLE RULES: { 5..9 }
0.00/0.39	    Removed DPs: #6 #13
0.00/0.39	Number of SCCs: 0, DPs: 0
0.00/0.39	EOF