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 Order(PosReal,>,Poly) ... failed.
Freezing ... 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, edges: 66
	SCC { #1..10 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... succeeded.
#msubst(x1,x2)	weight: max{0, (/ 1 16) + x2 + x1}
  lift()	weight: (/ 1 16)
msubst(x1,x2)	weight: max{0, (/ 3 16) + x2 + x1}
 subst(x1,x2)	weight: 0
#circ(x1,x2)	weight: max{0, (/ 1 8) + x2 + x1}
#subst(x1,x2)	weight: 0
  cons(x1,x2)	weight: max{0, (/ 1 16) + x1, (/ 1 16) + x2}
    id()	weight: 0
  circ(x1,x2)	weight: max{0, (/ 3 16) + x2 + x1}
    Usable rules: { 1..7 9 10 }
    Removed DPs: #1..3 #5..8 #10
Number of SCCs: 2, DPs: 2, edges: 2
	SCC { #4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#msubst(x1,x2)	weight: x1
  lift()	weight: 0
msubst(x1,x2)	weight: (/ 1 4) + x1 + x2
 subst(x1,x2)	weight: 0
#circ(x1,x2)	weight: 0
#subst(x1,x2)	weight: 0
  cons(x1,x2)	weight: (/ 1 2) + x1
    id()	weight: 0
  circ(x1,x2)	weight: (/ 1 2)
    Usable rules: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #9 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#msubst(x1,x2)	weight: 0
  lift()	weight: 0
msubst(x1,x2)	weight: (/ 1 2) + x1 + x2
 subst(x1,x2)	weight: 0
#circ(x1,x2)	weight: x1
#subst(x1,x2)	weight: 0
  cons(x1,x2)	weight: (/ 1 4) + x1
    id()	weight: 0
  circ(x1,x2)	weight: (/ 1 4) + x1
    Usable rules: { }
    Removed DPs: #9
Number of SCCs: 0, DPs: 0, edges: 0
YES