YES
Input TRS:
      1: q(0(x1)) -> p(p(s(s(0(s(s(s(s(x1)))))))))
      2: q(s(x1)) -> p(p(s(s(s(s(s(s(r(p(p(s(s(x1)))))))))))))
      3: r(0(x1)) -> p(s(p(s(0(p(p(p(s(s(s(x1)))))))))))
      4: r(s(x1)) -> p(s(p(s(s(q(p(s(p(s(x1))))))))))
      5: p(p(s(x1))) -> p(x1)
      6: p(s(x1)) -> x1
      7: p(0(x1)) -> 0(s(s(s(x1))))
Number of strict rules: 7
Direct POLO(bPol) ... removes: 1 3
      q 	w: 2 * x1 + 7177
      s 	w: x1
      r 	w: 2 * x1 + 7177
      p 	w: x1
      0 	w: x1 + 2332
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Uncurrying p
      2: q(s(x1)) -> p(p^1_s(s(s(s(s(s(r(p(p^1_s(s(x1)))))))))))
      4: r(s(x1)) -> p^1_s(p^1_s(s(q(p^1_s(p^1_s(x1))))))
      5: p(p^1_s(x1)) -> p(x1)
      6: p^1_s(x1) -> x1
      7: p^1_0(x1) -> 0(s(s(s(x1))))
      8: p(0(_1)) ->= p^1_0(_1)
      9: p(s(_1)) ->= p^1_s(_1)
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Dependency Pairs:
     #1: #q(s(x1)) -> #p(p^1_s(s(s(s(s(s(r(p(p^1_s(s(x1)))))))))))
     #2: #q(s(x1)) -> #p^1_s(s(s(s(s(s(r(p(p^1_s(s(x1))))))))))
     #3: #q(s(x1)) -> #r(p(p^1_s(s(x1))))
     #4: #q(s(x1)) -> #p(p^1_s(s(x1)))
     #5: #q(s(x1)) -> #p^1_s(s(x1))
     #6: #p(s(_1)) ->? #p^1_s(_1)
     #7: #p(p^1_s(x1)) -> #p(x1)
     #8: #p(0(_1)) ->? #p^1_0(_1)
     #9: #r(s(x1)) -> #p^1_s(p^1_s(s(q(p^1_s(p^1_s(x1))))))
     #10: #r(s(x1)) -> #p^1_s(s(q(p^1_s(p^1_s(x1)))))
     #11: #r(s(x1)) -> #q(p^1_s(p^1_s(x1)))
     #12: #r(s(x1)) -> #p^1_s(p^1_s(x1))
     #13: #r(s(x1)) -> #p^1_s(x1)
Number of SCCs: 2, DPs: 3
  SCC { #7 }
POLO(Sum)... succeeded.
      q 	w: 0
      s 	w: 0
      #p^1_0	w: 0
      #p^1_s	w: 0
      r 	w: 0
      p^1_0	w: 0
      p^1_s	w: x1 + 1
      #p 	w: x1
      p 	w: 0
      0 	w: 0
      #r 	w: 0
      #q 	w: 0
    USABLE RULES: { }
    Removed DPs: #7
Number of SCCs: 1, DPs: 2
  SCC { #3 #11 }
POLO(Sum)... succeeded.
      q 	w: 0
      s 	w: x1 + 32290
      #p^1_0	w: 0
      #p^1_s	w: 0
      r 	w: 0
      p^1_0	w: 20163
      p^1_s	w: x1 + 1
      #p 	w: 0
      p 	w: x1
      0 	w: 20163
      #r 	w: x1
      #q 	w: x1 + 2
    USABLE RULES: { 5..9 }
    Removed DPs: #3 #11
Number of SCCs: 0, DPs: 0