YES
Input TRS:
      1: circ(cons(a,s),t) -> cons(msubst(a,t),circ(s,t))
      2: circ(cons(lift(),s),cons(a,t)) -> cons(a,circ(s,t))
      3: circ(cons(lift(),s),cons(lift(),t)) -> cons(lift(),circ(s,t))
      4: circ(circ(s,t),u) -> circ(s,circ(t,u))
      5: circ(s,id()) -> s
      6: circ(id(),s) -> s
      7: circ(cons(lift(),s),circ(cons(lift(),t),u)) -> circ(cons(lift(),circ(s,t)),u)
      8: subst(a,id()) -> a
      9: msubst(a,id()) -> a
      10: msubst(msubst(a,s),t) -> msubst(a,circ(s,t))
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #circ(cons(lift(),s),cons(a,t)) -> #circ(s,t)
     #2: #circ(cons(lift(),s),circ(cons(lift(),t),u)) -> #circ(cons(lift(),circ(s,t)),u)
     #3: #circ(cons(lift(),s),circ(cons(lift(),t),u)) -> #circ(s,t)
     #4: #msubst(msubst(a,s),t) -> #msubst(a,circ(s,t))
     #5: #msubst(msubst(a,s),t) -> #circ(s,t)
     #6: #circ(cons(lift(),s),cons(lift(),t)) -> #circ(s,t)
     #7: #circ(cons(a,s),t) -> #msubst(a,t)
     #8: #circ(cons(a,s),t) -> #circ(s,t)
     #9: #circ(circ(s,t),u) -> #circ(s,circ(t,u))
     #10: #circ(circ(s,t),u) -> #circ(t,u)
Number of SCCs: 1, DPs: 10
  SCC { #1..10 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      #msubst	w: max(x1 + x2 - 21243, 0)
      lift	w: 0
      msubst	w: max(x1 + x2 + 21241, 0)
      subst	w: 0
      #circ	w: max(x1 + x2 - 21242, 0)
      #subst	w: max(x2 - 1, 0)
      cons	w: max(x1 + 2, x2, 0)
      id	w: 1
      circ	w: max(x1 + x2 + 21241, 0)
    USABLE RULES: { 1..7 9 10 }
    Removed DPs: #3
Number of SCCs: 1, DPs: 9
  SCC { #1 #2 #4..10 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      #msubst	w: max(x1 + x2 + 1, 0)
      lift	w: 0
      msubst	w: max(x1 + x2 + 2, 0)
      subst	w: 0
      #circ	w: max(x1 + x2 + 2, 0)
      #subst	w: max(x2 - 1, 0)
      cons	w: max(x1 + 1, x2, 0)
      id	w: 0
      circ	w: max(x1 + x2 + 2, 0)
    USABLE RULES: { 1..7 9 10 }
    Removed DPs: #5 #7 #10
Number of SCCs: 2, DPs: 6
  SCC { #4 }
POLO(Sum)... succeeded.
      #msubst	w: x1
      lift	w: 1
      msubst	w: x1 + x2 + 1
      subst	w: 0
      #circ	w: 0
      #subst	w: 0
      cons	w: x1 + 3
      id	w: 11798
      circ	w: 2
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 5
  SCC { #1 #2 #6 #8 #9 }
POLO(Sum)... succeeded.
      #msubst	w: 0
      lift	w: 0
      msubst	w: x1 + x2
      subst	w: 0
      #circ	w: x1 + x2
      #subst	w: 0
      cons	w: x2 + 1
      id	w: 1
      circ	w: x1 + x2 + 1424
    USABLE RULES: { 1..7 }
    Removed DPs: #1 #2 #6 #8
Number of SCCs: 1, DPs: 1
  SCC { #9 }
POLO(Sum)... succeeded.
      #msubst	w: 0
      lift	w: 1
      msubst	w: x1 + x2
      subst	w: 0
      #circ	w: x1
      #subst	w: 0
      cons	w: 14681
      id	w: 1
      circ	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #9
Number of SCCs: 0, DPs: 0