YES

Problem:
 a__2nd(cons(X,cons(Y,Z))) -> mark(Y)
 a__from(X) -> cons(mark(X),from(s(X)))
 mark(2nd(X)) -> a__2nd(mark(X))
 mark(from(X)) -> a__from(mark(X))
 mark(cons(X1,X2)) -> cons(mark(X1),X2)
 mark(s(X)) -> s(mark(X))
 a__2nd(X) -> 2nd(X)
 a__from(X) -> from(X)

Proof:
 DP Processor:
  DPs:
   a__2nd#(cons(X,cons(Y,Z))) -> mark#(Y)
   a__from#(X) -> mark#(X)
   mark#(2nd(X)) -> mark#(X)
   mark#(2nd(X)) -> a__2nd#(mark(X))
   mark#(from(X)) -> mark#(X)
   mark#(from(X)) -> a__from#(mark(X))
   mark#(cons(X1,X2)) -> mark#(X1)
   mark#(s(X)) -> mark#(X)
  TRS:
   a__2nd(cons(X,cons(Y,Z))) -> mark(Y)
   a__from(X) -> cons(mark(X),from(s(X)))
   mark(2nd(X)) -> a__2nd(mark(X))
   mark(from(X)) -> a__from(mark(X))
   mark(cons(X1,X2)) -> cons(mark(X1),X2)
   mark(s(X)) -> s(mark(X))
   a__2nd(X) -> 2nd(X)
   a__from(X) -> from(X)
  Matrix Interpretation Processor: dim=1
   
   usable rules:
    a__2nd(cons(X,cons(Y,Z))) -> mark(Y)
    a__from(X) -> cons(mark(X),from(s(X)))
    mark(2nd(X)) -> a__2nd(mark(X))
    mark(from(X)) -> a__from(mark(X))
    mark(cons(X1,X2)) -> cons(mark(X1),X2)
    mark(s(X)) -> s(mark(X))
    a__2nd(X) -> 2nd(X)
    a__from(X) -> from(X)
   interpretation:
    [a__from#](x0) = x0 + 1/2,
    
    [mark#](x0) = x0,
    
    [a__2nd#](x0) = 2x0 + 1/2,
    
    [2nd](x0) = 2x0 + 3/2,
    
    [from](x0) = 2x0 + 3,
    
    [s](x0) = x0 + 1/2,
    
    [a__from](x0) = 2x0 + 3,
    
    [mark](x0) = x0,
    
    [a__2nd](x0) = 2x0 + 3/2,
    
    [cons](x0, x1) = x0 + 1/2x1 + 1
   orientation:
    a__2nd#(cons(X,cons(Y,Z))) = 2X + Y + 1/2Z + 7/2 >= Y = mark#(Y)
    
    a__from#(X) = X + 1/2 >= X = mark#(X)
    
    mark#(2nd(X)) = 2X + 3/2 >= X = mark#(X)
    
    mark#(2nd(X)) = 2X + 3/2 >= 2X + 1/2 = a__2nd#(mark(X))
    
    mark#(from(X)) = 2X + 3 >= X = mark#(X)
    
    mark#(from(X)) = 2X + 3 >= X + 1/2 = a__from#(mark(X))
    
    mark#(cons(X1,X2)) = X1 + 1/2X2 + 1 >= X1 = mark#(X1)
    
    mark#(s(X)) = X + 1/2 >= X = mark#(X)
    
    a__2nd(cons(X,cons(Y,Z))) = 2X + Y + 1/2Z + 9/2 >= Y = mark(Y)
    
    a__from(X) = 2X + 3 >= 2X + 3 = cons(mark(X),from(s(X)))
    
    mark(2nd(X)) = 2X + 3/2 >= 2X + 3/2 = a__2nd(mark(X))
    
    mark(from(X)) = 2X + 3 >= 2X + 3 = a__from(mark(X))
    
    mark(cons(X1,X2)) = X1 + 1/2X2 + 1 >= X1 + 1/2X2 + 1 = cons(mark(X1),X2)
    
    mark(s(X)) = X + 1/2 >= X + 1/2 = s(mark(X))
    
    a__2nd(X) = 2X + 3/2 >= 2X + 3/2 = 2nd(X)
    
    a__from(X) = 2X + 3 >= 2X + 3 = from(X)
   problem:
    DPs:
     
    TRS:
     a__2nd(cons(X,cons(Y,Z))) -> mark(Y)
     a__from(X) -> cons(mark(X),from(s(X)))
     mark(2nd(X)) -> a__2nd(mark(X))
     mark(from(X)) -> a__from(mark(X))
     mark(cons(X1,X2)) -> cons(mark(X1),X2)
     mark(s(X)) -> s(mark(X))
     a__2nd(X) -> 2nd(X)
     a__from(X) -> from(X)
   Qed