0.00/0.35	YES
0.00/0.36	Input TRS:
0.00/0.36	    1: twoto(0(x1)) -> p(p(s(s(s(p(p(p(s(s(s(0(p(p(s(s(x1))))))))))))))))
0.00/0.36	    2: twoto(s(x1)) -> p(p(s(s(p(p(p(s(s(s(twice(p(p(s(s(p(p(p(s(s(s(twoto(p(s(p(s(x1))))))))))))))))))))))))))
0.00/0.36	    3: twice(0(x1)) -> p(s(p(s(0(s(p(s(s(s(s(p(s(x1)))))))))))))
0.00/0.36	    4: twice(s(x1)) -> s(p(p(p(p(s(s(s(s(s(twice(p(s(p(s(p(s(p(s(x1)))))))))))))))))))
0.00/0.36	    5: p(p(s(x1))) -> p(x1)
0.00/0.36	    6: p(s(x1)) -> x1
0.00/0.36	    7: p(0(x1)) -> 0(s(s(s(s(p(s(x1)))))))
0.00/0.36	    8: 0(x1) -> x1
0.00/0.36	Number of strict rules: 8
0.00/0.36	Direct POLO(bPol) ... removes: 8 1
0.00/0.36	      s 	w: x1
0.00/0.36	      twice	w: x1
0.00/0.36	      p 	w: x1
0.00/0.36	      0 	w: x1 + 1
0.00/0.36	      twoto	w: x1 + 1
0.00/0.36	Number of strict rules: 6
0.00/0.36	Direct POLO(bPol) ... failed.
0.00/0.36	Uncurrying p
0.00/0.36	2: twoto(s(x1)) -> p(p^1_s(s(p(p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))))))))))))
0.00/0.36	3: twice(0(x1)) -> p^1_s(p^1_s(0(s(p^1_s(s(s(s(p^1_s(x1)))))))))
0.00/0.36	4: twice(s(x1)) -> s(p(p(p(p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1))))))))))))))
0.00/0.36	5: p(p^1_s(x1)) -> p(x1)
0.00/0.36	6: p^1_s(x1) -> x1
0.00/0.36	7: p^1_0(x1) -> 0(s(s(s(s(p^1_s(x1))))))
0.00/0.36	9: p(0(_1)) ->= p^1_0(_1)
0.00/0.36	10: p(s(_1)) ->= p^1_s(_1)
0.00/0.36	Number of strict rules: 6
0.00/0.36	Direct POLO(bPol) ... failed.
0.00/0.36	Dependency Pairs:
0.00/0.36	   #1: #twoto(s(x1)) -> #p(p^1_s(s(p(p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))))))))))))
0.00/0.36	   #2: #twoto(s(x1)) -> #p^1_s(s(p(p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))))))
0.00/0.36	   #3: #twoto(s(x1)) -> #p(p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))))
0.00/0.36	   #4: #twoto(s(x1)) -> #p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))))))))
0.00/0.36	   #5: #twoto(s(x1)) -> #p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))
0.00/0.36	   #6: #twoto(s(x1)) -> #twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))))
0.00/0.36	   #7: #twoto(s(x1)) -> #p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))
0.00/0.36	   #8: #twoto(s(x1)) -> #p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))
0.00/0.36	   #9: #twoto(s(x1)) -> #p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))
0.00/0.36	   #10: #twoto(s(x1)) -> #p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))
0.00/0.36	   #11: #twoto(s(x1)) -> #p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))
0.00/0.36	   #12: #twoto(s(x1)) -> #twoto(p^1_s(p^1_s(x1)))
0.00/0.36	   #13: #twoto(s(x1)) -> #p^1_s(p^1_s(x1))
0.00/0.36	   #14: #twoto(s(x1)) -> #p^1_s(x1)
0.00/0.36	   #15: #p(0(_1)) ->? #p^1_0(_1)
0.00/0.36	   #16: #p^1_0(x1) -> #p^1_s(x1)
0.00/0.36	   #17: #p(s(_1)) ->? #p^1_s(_1)
0.00/0.36	   #18: #p(p^1_s(x1)) -> #p(x1)
0.00/0.36	   #19: #twice(0(x1)) -> #p^1_s(p^1_s(0(s(p^1_s(s(s(s(p^1_s(x1)))))))))
0.00/0.36	   #20: #twice(0(x1)) -> #p^1_s(0(s(p^1_s(s(s(s(p^1_s(x1))))))))
0.00/0.36	   #21: #twice(0(x1)) -> #p^1_s(s(s(s(p^1_s(x1)))))
0.00/0.36	   #22: #twice(0(x1)) -> #p^1_s(x1)
0.00/0.36	   #23: #twice(s(x1)) -> #p(p(p(p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1)))))))))))))
0.00/0.36	   #24: #twice(s(x1)) -> #p(p(p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1))))))))))))
0.00/0.36	   #25: #twice(s(x1)) -> #p(p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1)))))))))))
0.00/0.36	   #26: #twice(s(x1)) -> #p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1))))))))))
0.00/0.36	   #27: #twice(s(x1)) -> #twice(p^1_s(p^1_s(p^1_s(p^1_s(x1)))))
0.00/0.36	   #28: #twice(s(x1)) -> #p^1_s(p^1_s(p^1_s(p^1_s(x1))))
0.00/0.36	   #29: #twice(s(x1)) -> #p^1_s(p^1_s(p^1_s(x1)))
0.00/0.36	   #30: #twice(s(x1)) -> #p^1_s(p^1_s(x1))
0.00/0.36	   #31: #twice(s(x1)) -> #p^1_s(x1)
0.00/0.36	Number of SCCs: 3, DPs: 3
0.00/0.36	  SCC { #18 }
0.00/0.36	POLO(Sum)... succeeded.
0.00/0.36	      s 	w: 0
0.00/0.36	      #p^1_0	w: 0
0.00/0.36	      twice	w: 0
0.00/0.36	      #p^1_s	w: 0
0.00/0.36	      p^1_0	w: 0
0.00/0.36	      p^1_s	w: x1 + 1
0.00/0.36	      #p 	w: x1
0.00/0.36	      p 	w: 0
0.00/0.36	      0 	w: 0
0.00/0.36	      twoto	w: 0
0.00/0.36	      #twice	w: 0
0.00/0.36	      #twoto	w: 0
0.00/0.36	    USABLE RULES: { }
0.00/0.36	    Removed DPs: #18
0.00/0.36	Number of SCCs: 2, DPs: 2
0.00/0.36	  SCC { #12 }
0.00/0.36	POLO(Sum)... succeeded.
0.00/0.36	      s 	w: x1 + 3
0.00/0.36	      #p^1_0	w: 0
0.00/0.36	      twice	w: 0
0.00/0.36	      #p^1_s	w: 0
0.00/0.36	      p^1_0	w: 0
0.00/0.36	      p^1_s	w: x1 + 1
0.00/0.36	      #p 	w: 0
0.00/0.36	      p 	w: 0
0.00/0.36	      0 	w: 0
0.00/0.36	      twoto	w: 0
0.00/0.36	      #twice	w: 0
0.00/0.36	      #twoto	w: x1
0.00/0.36	    USABLE RULES: { 6 }
0.00/0.36	    Removed DPs: #12
0.00/0.36	Number of SCCs: 1, DPs: 1
0.00/0.36	  SCC { #27 }
0.00/0.36	POLO(Sum)... succeeded.
0.00/0.36	      s 	w: x1 + 5
0.00/0.36	      #p^1_0	w: 0
0.00/0.36	      twice	w: 0
0.00/0.36	      #p^1_s	w: 0
0.00/0.36	      p^1_0	w: 0
0.00/0.36	      p^1_s	w: x1 + 1
0.00/0.36	      #p 	w: 0
0.00/0.36	      p 	w: 0
0.00/0.36	      0 	w: 0
0.00/0.36	      twoto	w: 0
0.00/0.36	      #twice	w: x1
0.00/0.36	      #twoto	w: x1
0.00/0.36	    USABLE RULES: { 6 }
0.00/0.36	    Removed DPs: #27
0.00/0.36	Number of SCCs: 0, DPs: 0
0.00/0.36	EOF