0.00/0.42	YES
0.00/0.43	Input TRS:
0.00/0.43	    1: foo(0(x1)) -> 0(s(p(p(p(s(s(s(p(s(x1))))))))))
0.00/0.43	    2: foo(s(x1)) -> p(s(p(p(p(s(s(p(s(s(p(s(foo(p(p(s(s(p(s(bar(p(p(s(s(p(s(x1))))))))))))))))))))))))))
0.00/0.43	    3: bar(0(x1)) -> 0(p(s(s(s(x1)))))
0.00/0.43	    4: bar(s(x1)) -> p(s(p(p(s(s(foo(s(p(p(s(s(x1))))))))))))
0.00/0.43	    5: p(p(s(x1))) -> p(x1)
0.00/0.43	    6: p(s(x1)) -> x1
0.00/0.43	    7: p(0(x1)) -> 0(s(s(s(s(x1)))))
0.00/0.43	Number of strict rules: 7
0.00/0.43	Direct POLO(bPol) ... failed.
0.00/0.43	Uncurrying foo p
0.00/0.43	1: foo^1_0(x1) -> 0(s(p(p(p^1_s(s(s(p^1_s(x1))))))))
0.00/0.43	2: foo^1_s(x1) -> p^1_s(p(p(p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))))))))))))
0.00/0.43	3: bar(0(x1)) -> 0(p^1_s(s(s(x1))))
0.00/0.43	4: bar(s(x1)) -> p^1_s(p(p^1_s(s(foo^1_s(p(p^1_s(s(x1))))))))
0.00/0.43	5: p(p^1_s(x1)) -> p(x1)
0.00/0.43	6: p^1_s(x1) -> x1
0.00/0.43	7: p^1_0(x1) -> 0(s(s(s(s(x1)))))
0.00/0.43	8: p(0(_1)) ->= p^1_0(_1)
0.00/0.43	9: p(s(_1)) ->= p^1_s(_1)
0.00/0.43	10: foo(0(_1)) ->= foo^1_0(_1)
0.00/0.43	11: foo(s(_1)) ->= foo^1_s(_1)
0.00/0.43	Number of strict rules: 7
0.00/0.43	Direct POLO(bPol) ... failed.
0.00/0.43	Dependency Pairs:
0.00/0.43	   #1: #foo^1_s(x1) -> #p^1_s(p(p(p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))))))))))))
0.00/0.43	   #2: #foo^1_s(x1) -> #p(p(p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))))))))))))
0.00/0.43	   #3: #foo^1_s(x1) -> #p(p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))))))))))
0.00/0.43	   #4: #foo^1_s(x1) -> #p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))))))))))
0.00/0.43	   #5: #foo^1_s(x1) -> #p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))))))))
0.00/0.43	   #6: #foo^1_s(x1) -> #p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))))))
0.00/0.43	   #7: #foo^1_s(x1) -> #foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))))
0.00/0.43	   #8: #foo^1_s(x1) -> #p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))))
0.00/0.43	   #9: #foo^1_s(x1) -> #p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))
0.00/0.43	   #10: #foo^1_s(x1) -> #p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))
0.00/0.43	   #11: #foo^1_s(x1) -> #bar(p(p^1_s(s(p^1_s(x1)))))
0.00/0.43	   #12: #foo^1_s(x1) -> #p(p^1_s(s(p^1_s(x1))))
0.00/0.43	   #13: #foo^1_s(x1) -> #p^1_s(s(p^1_s(x1)))
0.00/0.43	   #14: #foo^1_s(x1) -> #p^1_s(x1)
0.00/0.43	   #15: #p(s(_1)) ->? #p^1_s(_1)
0.00/0.43	   #16: #foo(s(_1)) ->? #foo^1_s(_1)
0.00/0.43	   #17: #foo(0(_1)) ->? #foo^1_0(_1)
0.00/0.43	   #18: #p(p^1_s(x1)) -> #p(x1)
0.00/0.43	   #19: #bar(0(x1)) -> #p^1_s(s(s(x1)))
0.00/0.43	   #20: #foo^1_0(x1) -> #p(p(p^1_s(s(s(p^1_s(x1))))))
0.00/0.43	   #21: #foo^1_0(x1) -> #p(p^1_s(s(s(p^1_s(x1)))))
0.00/0.43	   #22: #foo^1_0(x1) -> #p^1_s(s(s(p^1_s(x1))))
0.00/0.43	   #23: #foo^1_0(x1) -> #p^1_s(x1)
0.00/0.43	   #24: #p(0(_1)) ->? #p^1_0(_1)
0.00/0.43	   #25: #bar(s(x1)) -> #p^1_s(p(p^1_s(s(foo^1_s(p(p^1_s(s(x1))))))))
0.00/0.43	   #26: #bar(s(x1)) -> #p(p^1_s(s(foo^1_s(p(p^1_s(s(x1)))))))
0.00/0.43	   #27: #bar(s(x1)) -> #p^1_s(s(foo^1_s(p(p^1_s(s(x1))))))
0.00/0.43	   #28: #bar(s(x1)) -> #foo^1_s(p(p^1_s(s(x1))))
0.00/0.43	   #29: #bar(s(x1)) -> #p(p^1_s(s(x1)))
0.00/0.43	   #30: #bar(s(x1)) -> #p^1_s(s(x1))
0.00/0.43	Number of SCCs: 2, DPs: 5
0.00/0.43	  SCC { #18 }
0.00/0.43	POLO(Sum)... succeeded.
0.00/0.43	      s 	w: 0
0.00/0.43	      #p^1_0	w: 0
0.00/0.43	      #p^1_s	w: 0
0.00/0.43	      p^1_0	w: 0
0.00/0.43	      #bar	w: 0
0.00/0.43	      p^1_s	w: x1 + 1
0.00/0.43	      #p 	w: x1
0.00/0.43	      foo^1_s	w: 0
0.00/0.43	      p 	w: 0
0.00/0.43	      foo^1_0	w: 0
0.00/0.43	      0 	w: 0
0.00/0.43	      #foo	w: 0
0.00/0.43	      bar	w: 0
0.00/0.43	      foo	w: 0
0.00/0.43	      #foo^1_0	w: 0
0.00/0.43	      #foo^1_s	w: 0
0.00/0.43	    USABLE RULES: { }
0.00/0.43	    Removed DPs: #18
0.00/0.43	Number of SCCs: 1, DPs: 4
0.00/0.43	  SCC { #7 #11 #16 #28 }
0.00/0.43	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
0.00/0.43	      s 	w: max(x1 + 4, 0)
0.00/0.43	      #p^1_0	w: 0
0.00/0.43	      #p^1_s	w: 0
0.00/0.43	      p^1_0	w: 0
0.00/0.43	      #bar	w: max(x1 - 1, 0)
0.00/0.43	      p^1_s	w: max(x1, 0)
0.00/0.43	      #p 	w: max(x1 - 1, 0)
0.00/0.43	      foo^1_s	w: 0
0.00/0.43	      p 	w: max(x1 - 4, 0)
0.00/0.43	      foo^1_0	w: 0
0.00/0.43	      0 	w: 0
0.00/0.43	      #foo	w: max(x1 - 1, 0)
0.00/0.43	      bar	w: 2
0.00/0.43	      foo	w: max(x1 - 8, 0)
0.00/0.43	      #foo^1_0	w: max(x1 - 1, 0)
0.00/0.43	      #foo^1_s	w: max(x1 + 2, 0)
0.00/0.43	    USABLE RULES: { 1..11 }
0.00/0.43	    Removed DPs: #7 #11 #16 #28
0.00/0.43	Number of SCCs: 0, DPs: 0
0.00/0.43	EOF