YES
Input TRS:
      1: cond1(true(),x,y,z) -> cond2(gr(y,z),x,y,z)
      2: cond2(true(),x,y,z) -> cond2(gr(y,z),x,p(y),z)
      3: cond2(false(),x,y,z) -> cond1(gr(x,z),p(x),y,z)
      4: gr(0(),x) -> false()
      5: gr(s(x),0()) -> true()
      6: gr(s(x),s(y)) -> gr(x,y)
      7: p(0()) -> 0()
      8: p(s(x)) -> x
Number of strict rules: 8
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #cond2(true(),x,y,z) -> #cond2(gr(y,z),x,p(y),z)
     #2: #cond2(true(),x,y,z) -> #gr(y,z)
     #3: #cond2(true(),x,y,z) -> #p(y)
     #4: #gr(s(x),s(y)) -> #gr(x,y)
     #5: #cond2(false(),x,y,z) -> #cond1(gr(x,z),p(x),y,z)
     #6: #cond2(false(),x,y,z) -> #gr(x,z)
     #7: #cond2(false(),x,y,z) -> #p(x)
     #8: #cond1(true(),x,y,z) -> #cond2(gr(y,z),x,y,z)
     #9: #cond1(true(),x,y,z) -> #gr(y,z)
Number of SCCs: 2, DPs: 4
  SCC { #4 }
POLO(Sum)... succeeded.
      cond2	w: 0
      s 	w: x1 + 1
      #cond1	w: 0
      false	w: 0
      #p 	w: 0
      true	w: 0
      cond1	w: 0
      p 	w: 0
      0 	w: 0
      #gr	w: x2
      #cond2	w: 0
      gr	w: 0
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 3
  SCC { #1 #5 #8 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      cond2	w: 0
      s 	w: max(x1 + 33957, 0)
      #cond1	w: max(x1 - 36469, x2 - 5854, 0)
      false	w: 30613
      #p 	w: 0
      true	w: 64570
      cond1	w: max(x1 - 1, 0)
      p 	w: max(x1 - 2, 0)
      0 	w: 0
      #gr	w: 0
      #cond2	w: max(x2 - 5855, 0)
      gr	w: max(x1 + 30613, 0)
    USABLE RULES: { 4..8 }
    Removed DPs: #8
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      cond2	w: 0
      s 	w: max(x1 + 2, 0)
      #cond1	w: max(x1, x2, 0)
      false	w: 1
      #p 	w: 0
      true	w: 20540
      cond1	w: max(x1 - 1, 0)
      p 	w: max(x1 - 1, 0)
      0 	w: 0
      #gr	w: 0
      #cond2	w: max(x1 + 15922, x3 + 36461, 0)
      gr	w: max(x1 + 20538, 0)
    USABLE RULES: { 4..8 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0