Input TRS:
    1: a__2nd(cons(X,cons(Y,Z))) -> mark(Y)
    2: a__from(X) -> cons(mark(X),from(s(X)))
    3: mark(2nd(X)) -> a__2nd(mark(X))
    4: mark(from(X)) -> a__from(mark(X))
    5: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    6: mark(s(X)) -> s(mark(X))
    7: a__2nd(X) -> 2nd(X)
    8: a__from(X) -> from(X)
Number of strict rules: 8
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a__from(X) -> #mark(X)
   #2: #mark(s(X)) -> #mark(X)
   #3: #mark(cons(X1,X2)) -> #mark(X1)
   #4: #mark(2nd(X)) -> #a__2nd(mark(X))
   #5: #mark(2nd(X)) -> #mark(X)
   #6: #a__2nd(cons(X,cons(Y,Z))) -> #mark(Y)
   #7: #mark(from(X)) -> #a__from(mark(X))
   #8: #mark(from(X)) -> #mark(X)
Number of SCCs: 1, DPs: 8, edges: 38
	SCC { #1..8 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded.
     s(x1)	weight: x1
#a__from(x1)	weight: (/ 1 4) + x1
a__from(x1)	weight: (/ 3 4) + x1
   2nd(x1)	weight: (/ 3 4) + x1
a__2nd(x1)	weight: (/ 3 4) + x1
#a__2nd(x1)	weight: (/ 1 4) + x1
#mark(x1)	weight: x1
  from(x1)	weight: (/ 3 4) + x1
  mark(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: max{x2, (/ 1 4) + x1}
    Usable rules: { 1..8 }
    Removed DPs: #1 #3..8
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 4) + x1
#a__from(x1)	weight: (/ 1 4)
a__from(x1)	weight: (/ 1 2)
   2nd(x1)	weight: (/ 3 4)
a__2nd(x1)	weight: (/ 1 2)
#a__2nd(x1)	weight: 0
#mark(x1)	weight: x1
  from(x1)	weight: (/ 3 4)
  mark(x1)	weight: (/ 1 4)
  cons(x1,x2)	weight: (/ 3 4)
    Usable rules: { }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0, edges: 0
YES