0.00/0.57	YES
0.00/0.57	Input TRS:
0.00/0.57	    1: sq(0(x1)) -> p(s(p(s(p(p(p(p(s(s(s(s(0(p(s(p(s(x1)))))))))))))))))
0.00/0.57	    2: sq(s(x1)) -> s(p(s(p(s(p(p(s(s(twice(p(s(p(s(p(p(p(s(s(s(sq(p(p(p(p(p(p(s(s(s(s(s(s(x1)))))))))))))))))))))))))))))))))
0.00/0.57	    3: twice(0(x1)) -> p(p(p(p(s(s(p(s(s(s(0(p(p(p(s(s(s(p(p(s(s(p(s(p(s(p(s(x1)))))))))))))))))))))))))))
0.00/0.57	    4: twice(s(x1)) -> p(p(s(s(s(p(p(s(s(s(twice(p(s(p(s(x1)))))))))))))))
0.00/0.57	    5: p(p(s(x1))) -> p(x1)
0.00/0.57	    6: p(s(x1)) -> x1
0.00/0.57	    7: p(0(x1)) -> 0(s(s(s(s(s(s(s(s(s(s(s(x1))))))))))))
0.00/0.57	    8: 0(x1) -> x1
0.00/0.57	Number of strict rules: 8
0.00/0.57	Direct POLO(bPol) ... removes: 8 1
0.00/0.57	      s 	w: x1
0.00/0.57	      twice	w: x1
0.00/0.57	      p 	w: x1
0.00/0.57	      0 	w: x1 + 1
0.00/0.57	      sq	w: x1 + 1
0.00/0.57	Number of strict rules: 6
0.00/0.57	Direct POLO(bPol) ... failed.
0.00/0.57	Uncurrying p
0.00/0.57	2: sq(s(x1)) -> s(p^1_s(p^1_s(p(p^1_s(s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1))))))))))))))))))))))))))
0.00/0.57	3: twice(0(x1)) -> p(p(p(p^1_s(s(p^1_s(s(s(0(p(p(p^1_s(s(s(p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1))))))))))))))))))))
0.00/0.57	4: twice(s(x1)) -> p(p^1_s(s(s(p(p^1_s(s(s(twice(p^1_s(p^1_s(x1)))))))))))
0.00/0.57	5: p(p^1_s(x1)) -> p(x1)
0.00/0.57	6: p^1_s(x1) -> x1
0.00/0.57	7: p^1_0(x1) -> 0(s(s(s(s(s(s(s(s(s(s(s(x1))))))))))))
0.00/0.57	9: p(0(_1)) ->= p^1_0(_1)
0.00/0.57	10: p(s(_1)) ->= p^1_s(_1)
0.00/0.57	Number of strict rules: 6
0.00/0.57	Direct POLO(bPol) ... failed.
0.00/0.57	Dependency Pairs:
0.00/0.57	   #1: #sq(s(x1)) -> #p^1_s(p^1_s(p(p^1_s(s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1)))))))))))))))))))))))))
0.00/0.57	   #2: #sq(s(x1)) -> #p^1_s(p(p^1_s(s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1))))))))))))))))))))))))
0.00/0.57	   #3: #sq(s(x1)) -> #p(p^1_s(s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1)))))))))))))))))))))))
0.00/0.57	   #4: #sq(s(x1)) -> #p^1_s(s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1))))))))))))))))))))))
0.00/0.57	   #5: #sq(s(x1)) -> #twice(p^1_s(p^1_s(p(p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1))))))))))))))))))))
0.00/0.57	   #6: #sq(s(x1)) -> #p^1_s(p^1_s(p(p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1)))))))))))))))))))
0.00/0.57	   #7: #sq(s(x1)) -> #p^1_s(p(p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1))))))))))))))))))
0.00/0.57	   #8: #sq(s(x1)) -> #p(p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1)))))))))))))))))
0.00/0.57	   #9: #sq(s(x1)) -> #p(p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1))))))))))))))))
0.00/0.57	   #10: #sq(s(x1)) -> #p^1_s(s(s(sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1)))))))))))))))
0.00/0.57	   #11: #sq(s(x1)) -> #sq(p(p(p(p(p(p^1_s(s(s(s(s(s(x1))))))))))))
0.00/0.57	   #12: #sq(s(x1)) -> #p(p(p(p(p(p^1_s(s(s(s(s(s(x1)))))))))))
0.00/0.57	   #13: #sq(s(x1)) -> #p(p(p(p(p^1_s(s(s(s(s(s(x1))))))))))
0.00/0.57	   #14: #sq(s(x1)) -> #p(p(p(p^1_s(s(s(s(s(s(x1)))))))))
0.00/0.57	   #15: #sq(s(x1)) -> #p(p(p^1_s(s(s(s(s(s(x1))))))))
0.00/0.57	   #16: #sq(s(x1)) -> #p(p^1_s(s(s(s(s(s(x1)))))))
0.00/0.57	   #17: #sq(s(x1)) -> #p^1_s(s(s(s(s(s(x1))))))
0.00/0.57	   #18: #p(0(_1)) ->? #p^1_0(_1)
0.00/0.57	   #19: #p(s(_1)) ->? #p^1_s(_1)
0.00/0.57	   #20: #p(p^1_s(x1)) -> #p(x1)
0.00/0.57	   #21: #twice(0(x1)) -> #p(p(p(p^1_s(s(p^1_s(s(s(0(p(p(p^1_s(s(s(p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1))))))))))))))))))))
0.00/0.57	   #22: #twice(0(x1)) -> #p(p(p^1_s(s(p^1_s(s(s(0(p(p(p^1_s(s(s(p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1)))))))))))))))))))
0.00/0.57	   #23: #twice(0(x1)) -> #p(p^1_s(s(p^1_s(s(s(0(p(p(p^1_s(s(s(p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1))))))))))))))))))
0.00/0.57	   #24: #twice(0(x1)) -> #p^1_s(s(p^1_s(s(s(0(p(p(p^1_s(s(s(p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1)))))))))))))))))
0.00/0.57	   #25: #twice(0(x1)) -> #p^1_s(s(s(0(p(p(p^1_s(s(s(p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1)))))))))))))))
0.00/0.57	   #26: #twice(0(x1)) -> #p(p(p^1_s(s(s(p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1)))))))))))
0.00/0.57	   #27: #twice(0(x1)) -> #p(p^1_s(s(s(p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1))))))))))
0.00/0.57	   #28: #twice(0(x1)) -> #p^1_s(s(s(p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1)))))))))
0.00/0.57	   #29: #twice(0(x1)) -> #p(p^1_s(s(p^1_s(p^1_s(p^1_s(x1))))))
0.00/0.57	   #30: #twice(0(x1)) -> #p^1_s(s(p^1_s(p^1_s(p^1_s(x1)))))
0.00/0.57	   #31: #twice(0(x1)) -> #p^1_s(p^1_s(p^1_s(x1)))
0.00/0.57	   #32: #twice(0(x1)) -> #p^1_s(p^1_s(x1))
0.00/0.57	   #33: #twice(0(x1)) -> #p^1_s(x1)
0.00/0.57	   #34: #twice(s(x1)) -> #p(p^1_s(s(s(p(p^1_s(s(s(twice(p^1_s(p^1_s(x1)))))))))))
0.00/0.57	   #35: #twice(s(x1)) -> #p^1_s(s(s(p(p^1_s(s(s(twice(p^1_s(p^1_s(x1))))))))))
0.00/0.57	   #36: #twice(s(x1)) -> #p(p^1_s(s(s(twice(p^1_s(p^1_s(x1)))))))
0.00/0.57	   #37: #twice(s(x1)) -> #p^1_s(s(s(twice(p^1_s(p^1_s(x1))))))
0.00/0.57	   #38: #twice(s(x1)) -> #twice(p^1_s(p^1_s(x1)))
0.00/0.57	   #39: #twice(s(x1)) -> #p^1_s(p^1_s(x1))
0.00/0.57	   #40: #twice(s(x1)) -> #p^1_s(x1)
0.00/0.57	Number of SCCs: 3, DPs: 3
0.00/0.57	  SCC { #20 }
0.00/0.57	POLO(Sum)... succeeded.
0.00/0.57	      s 	w: 0
0.00/0.57	      #p^1_0	w: 0
0.00/0.57	      twice	w: 0
0.00/0.57	      #p^1_s	w: 0
0.00/0.57	      #sq	w: 0
0.00/0.57	      p^1_0	w: 0
0.00/0.57	      p^1_s	w: x1 + 1
0.00/0.57	      #p 	w: x1
0.00/0.57	      p 	w: 0
0.00/0.57	      0 	w: 0
0.00/0.57	      #twice	w: 0
0.00/0.57	      sq	w: 0
0.00/0.57	    USABLE RULES: { }
0.00/0.57	    Removed DPs: #20
0.00/0.57	Number of SCCs: 2, DPs: 2
0.00/0.57	  SCC { #38 }
0.00/0.57	POLO(Sum)... succeeded.
0.00/0.57	      s 	w: x1 + 3
0.00/0.57	      #p^1_0	w: 0
0.00/0.57	      twice	w: 0
0.00/0.57	      #p^1_s	w: 0
0.00/0.57	      #sq	w: 0
0.00/0.57	      p^1_0	w: 0
0.00/0.57	      p^1_s	w: x1 + 1
0.00/0.57	      #p 	w: 0
0.00/0.57	      p 	w: 0
0.00/0.57	      0 	w: 0
0.00/0.57	      #twice	w: x1
0.00/0.57	      sq	w: 0
0.00/0.57	    USABLE RULES: { 6 }
0.00/0.57	    Removed DPs: #38
0.00/0.57	Number of SCCs: 1, DPs: 1
0.00/0.57	  SCC { #11 }
0.00/0.57	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
0.00/0.57	      s 	w: max(x1 + 8, 0)
0.00/0.57	      #p^1_0	w: max(x1 - 1, 0)
0.00/0.57	      twice	w: max(x1 - 1, 0)
0.00/0.57	      #p^1_s	w: 0
0.00/0.57	      #sq	w: max(x1 + 1, 0)
0.00/0.57	      p^1_0	w: 0
0.00/0.57	      p^1_s	w: max(x1 + 1, 0)
0.00/0.57	      #p 	w: max(x1 - 1, 0)
0.00/0.57	      p 	w: max(x1 - 7, 0)
0.00/0.57	      0 	w: 0
0.00/0.57	      #twice	w: max(x1 - 1, 0)
0.00/0.57	      sq	w: max(x1 - 1, 0)
0.00/0.57	    USABLE RULES: { 5..7 9 10 }
0.00/0.57	    Removed DPs: #11
0.00/0.57	Number of SCCs: 0, DPs: 0
0.00/0.57	EOF