0.00/0.32	YES
0.00/0.32	Input TRS:
0.00/0.32	    1: i(0(x1)) -> p(s(p(s(0(p(s(p(s(x1)))))))))
0.00/0.32	    2: i(s(x1)) -> p(s(p(s(s(j(p(s(p(s(p(p(p(p(s(s(s(s(x1))))))))))))))))))
0.00/0.32	    3: j(0(x1)) -> p(s(p(p(s(s(0(p(s(p(s(x1)))))))))))
0.00/0.32	    4: j(s(x1)) -> s(s(s(s(p(p(s(s(i(p(s(p(s(x1)))))))))))))
0.00/0.32	    5: p(p(s(x1))) -> p(x1)
0.00/0.32	    6: p(s(x1)) -> x1
0.00/0.32	    7: p(0(x1)) -> 0(s(s(s(s(s(s(s(s(x1)))))))))
0.00/0.32	Number of strict rules: 7
0.00/0.32	Direct POLO(bPol) ... removes: 1 3
0.00/0.32	      s 	w: x1
0.00/0.32	      p 	w: x1
0.00/0.32	      0 	w: x1 + 4
0.00/0.32	      j 	w: x1 + 1
0.00/0.32	      i 	w: x1 + 1
0.00/0.32	Number of strict rules: 5
0.00/0.32	Direct POLO(bPol) ... failed.
0.00/0.32	Uncurrying p
0.00/0.32	2: i(s(x1)) -> p^1_s(p^1_s(s(j(p^1_s(p^1_s(p(p(p(p^1_s(s(s(s(x1)))))))))))))
0.00/0.32	4: j(s(x1)) -> s(s(s(s(p(p^1_s(s(i(p^1_s(p^1_s(x1))))))))))
0.00/0.32	5: p(p^1_s(x1)) -> p(x1)
0.00/0.32	6: p^1_s(x1) -> x1
0.00/0.32	7: p^1_0(x1) -> 0(s(s(s(s(s(s(s(s(x1)))))))))
0.00/0.32	8: p(0(_1)) ->= p^1_0(_1)
0.00/0.32	9: p(s(_1)) ->= p^1_s(_1)
0.00/0.32	Number of strict rules: 5
0.00/0.32	Direct POLO(bPol) ... failed.
0.00/0.32	Dependency Pairs:
0.00/0.32	   #1: #i(s(x1)) -> #p^1_s(p^1_s(s(j(p^1_s(p^1_s(p(p(p(p^1_s(s(s(s(x1)))))))))))))
0.00/0.32	   #2: #i(s(x1)) -> #p^1_s(s(j(p^1_s(p^1_s(p(p(p(p^1_s(s(s(s(x1))))))))))))
0.00/0.32	   #3: #i(s(x1)) -> #j(p^1_s(p^1_s(p(p(p(p^1_s(s(s(s(x1))))))))))
0.00/0.32	   #4: #i(s(x1)) -> #p^1_s(p^1_s(p(p(p(p^1_s(s(s(s(x1)))))))))
0.00/0.32	   #5: #i(s(x1)) -> #p^1_s(p(p(p(p^1_s(s(s(s(x1))))))))
0.00/0.32	   #6: #i(s(x1)) -> #p(p(p(p^1_s(s(s(s(x1)))))))
0.00/0.32	   #7: #i(s(x1)) -> #p(p(p^1_s(s(s(s(x1))))))
0.00/0.32	   #8: #i(s(x1)) -> #p(p^1_s(s(s(s(x1)))))
0.00/0.32	   #9: #i(s(x1)) -> #p^1_s(s(s(s(x1))))
0.00/0.32	   #10: #p(s(_1)) ->? #p^1_s(_1)
0.00/0.32	   #11: #p(p^1_s(x1)) -> #p(x1)
0.00/0.32	   #12: #p(0(_1)) ->? #p^1_0(_1)
0.00/0.32	   #13: #j(s(x1)) -> #p(p^1_s(s(i(p^1_s(p^1_s(x1))))))
0.00/0.32	   #14: #j(s(x1)) -> #p^1_s(s(i(p^1_s(p^1_s(x1)))))
0.00/0.32	   #15: #j(s(x1)) -> #i(p^1_s(p^1_s(x1)))
0.00/0.32	   #16: #j(s(x1)) -> #p^1_s(p^1_s(x1))
0.00/0.32	   #17: #j(s(x1)) -> #p^1_s(x1)
0.00/0.32	Number of SCCs: 2, DPs: 3
0.00/0.32	  SCC { #11 }
0.00/0.32	POLO(Sum)... succeeded.
0.00/0.32	      s 	w: 0
0.00/0.32	      #p^1_0	w: 0
0.00/0.32	      #p^1_s	w: 0
0.00/0.32	      p^1_0	w: 0
0.00/0.32	      p^1_s	w: x1 + 1
0.00/0.32	      #p 	w: x1
0.00/0.32	      p 	w: 0
0.00/0.32	      0 	w: 0
0.00/0.32	      #j 	w: 0
0.00/0.32	      j 	w: 0
0.00/0.32	      i 	w: 0
0.00/0.32	      #i 	w: 0
0.00/0.32	    USABLE RULES: { }
0.00/0.32	    Removed DPs: #11
0.00/0.32	Number of SCCs: 1, DPs: 2
0.00/0.32	  SCC { #3 #15 }
0.00/0.32	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
0.00/0.32	      s 	w: max(x1 + 18, 0)
0.00/0.32	      #p^1_0	w: max(x1 - 1, 0)
0.00/0.32	      #p^1_s	w: 0
0.00/0.32	      p^1_0	w: 0
0.00/0.32	      p^1_s	w: max(x1 + 2, 0)
0.00/0.32	      #p 	w: 0
0.00/0.32	      p 	w: max(x1 - 16, 0)
0.00/0.32	      0 	w: 0
0.00/0.32	      #j 	w: max(x1 - 16, 0)
0.00/0.32	      j 	w: max(x1 - 1, 0)
0.00/0.32	      i 	w: max(x1 - 1, 0)
0.00/0.32	      #i 	w: max(x1 - 3, 0)
0.00/0.32	    USABLE RULES: { 5..9 }
0.00/0.32	    Removed DPs: #3 #15
0.00/0.32	Number of SCCs: 0, DPs: 0
0.00/0.32	EOF