YES
Input TRS:
      1: r(r(x1)) -> s(r(x1))
      2: r(s(x1)) -> s(r(x1))
      3: r(n(x1)) -> s(r(x1))
      4: r(b(x1)) -> u(s(b(x1)))
      5: r(u(x1)) -> u(r(x1))
      6: s(u(x1)) -> u(s(x1))
      7: n(u(x1)) -> u(n(x1))
      8: t(r(u(x1))) -> t(c(r(x1)))
      9: t(s(u(x1))) -> t(c(r(x1)))
      10: t(n(u(x1))) -> t(c(r(x1)))
      11: c(u(x1)) -> u(c(x1))
      12: c(s(x1)) -> s(c(x1))
      13: c(r(x1)) -> r(c(x1))
      14: c(n(x1)) -> n(c(x1))
      15: c(n(x1)) -> n(x1)
Number of strict rules: 15
Direct POLO(bPol) ... removes: 3 10
      s 	w: 2 * x1 + 3
      n 	w: 2 * x1 + 4
      b 	w: 2 * x1 + 1
      u 	w: x1
      r 	w: 2 * x1 + 3
      t 	w: x1 + 32797
      c 	w: x1
Number of strict rules: 13
Direct POLO(bPol) ... removes: 8 1 7
      s 	w: x1 + 22115
      n 	w: 2 * x1 + 22115
      b 	w: 2 * x1 + 1
      u 	w: x1 + 1
      r 	w: x1 + 22116
      t 	w: x1 + 32797
      c 	w: x1
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #r(s(x1)) -> #s(r(x1))
     #2: #r(s(x1)) -> #r(x1)
     #3: #s(u(x1)) -> #s(x1)
     #4: #c(r(x1)) -> #r(c(x1))
     #5: #c(r(x1)) -> #c(x1)
     #6: #t(s(u(x1))) -> #t(c(r(x1)))
     #7: #t(s(u(x1))) -> #c(r(x1))
     #8: #t(s(u(x1))) -> #r(x1)
     #9: #c(u(x1)) -> #c(x1)
     #10: #c(s(x1)) -> #s(c(x1))
     #11: #c(s(x1)) -> #c(x1)
     #12: #c(n(x1)) -> #c(x1)
     #13: #r(u(x1)) -> #r(x1)
     #14: #r(b(x1)) -> #s(b(x1))
Number of SCCs: 4, DPs: 8
  SCC { #3 }
POLO(Sum)... succeeded.
      s 	w: 0
      n 	w: 0
      b 	w: 0
      u 	w: x1 + 1
      r 	w: 0
      t 	w: 0
      c 	w: 0
      #s 	w: x1
      #r 	w: 0
      #c 	w: 0
      #t 	w: 0
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 3, DPs: 7
  SCC { #6 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      s 	w: x1 + [1;0]
      n 	w: [44191;0]
      b 	w: [1,1;1,1] * x1 + [2200;32384]
      u 	w: x1 + [32384;0]
      r 	w: [1,1;0,1] * x1 + [1;0]
      t 	w: [0;0]
      c 	w: [1,0;0,0] * x1 + [16688;0]
      #s 	w: [0;0]
      #r 	w: [0;0]
      #c 	w: [0;0]
      #t 	w: [1,1;0,0] * x1
    USABLE RULES: { 2 4..6 11..15 }
    Removed DPs: #6
Number of SCCs: 2, DPs: 6
  SCC { #2 #13 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      n 	w: 28904
      b 	w: x1 + 14681
      u 	w: x1 + 20977
      r 	w: 18458
      t 	w: 0
      c 	w: x1 + 22979
      #s 	w: 0
      #r 	w: x1
      #c 	w: 0
      #t 	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #13
Number of SCCs: 1, DPs: 4
  SCC { #5 #9 #11 #12 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      n 	w: x1 + 2241
      b 	w: x1 + 12172
      u 	w: x1 + 20977
      r 	w: x1 + 11302
      t 	w: 0
      c 	w: x1 + 1
      #s 	w: 0
      #r 	w: 0
      #c 	w: x1
      #t 	w: 0
    USABLE RULES: { }
    Removed DPs: #5 #9 #11 #12
Number of SCCs: 0, DPs: 0