YES

Problem:
 fst(0(),Z) -> nil()
 fst(s(X),cons(Y,Z)) -> cons(Y,n__fst(activate(X),activate(Z)))
 from(X) -> cons(X,n__from(s(X)))
 add(0(),X) -> X
 add(s(X),Y) -> s(n__add(activate(X),Y))
 len(nil()) -> 0()
 len(cons(X,Z)) -> s(n__len(activate(Z)))
 fst(X1,X2) -> n__fst(X1,X2)
 from(X) -> n__from(X)
 add(X1,X2) -> n__add(X1,X2)
 len(X) -> n__len(X)
 activate(n__fst(X1,X2)) -> fst(X1,X2)
 activate(n__from(X)) -> from(X)
 activate(n__add(X1,X2)) -> add(X1,X2)
 activate(n__len(X)) -> len(X)
 activate(X) -> X

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [n__len](x0) = 2x0 + 4,
   
   [len](x0) = 4x0 + 6,
   
   [n__add](x0, x1) = x0 + 4x1 + 5,
   
   [add](x0, x1) = 2x0 + 4x1 + 5,
   
   [n__from](x0) = 2x0 + 3,
   
   [from](x0) = 4x0 + 3,
   
   [n__fst](x0, x1) = 2x0 + x1 + 6,
   
   [activate](x0) = 2x0,
   
   [cons](x0, x1) = 2x0 + x1,
   
   [s](x0) = x0,
   
   [nil] = 0,
   
   [fst](x0, x1) = 4x0 + 2x1 + 7,
   
   [0] = 2
  orientation:
   fst(0(),Z) = 2Z + 15 >= 0 = nil()
   
   fst(s(X),cons(Y,Z)) = 4X + 4Y + 2Z + 7 >= 4X + 2Y + 2Z + 6 = cons(Y,n__fst(activate(X),activate(Z)))
   
   from(X) = 4X + 3 >= 4X + 3 = cons(X,n__from(s(X)))
   
   add(0(),X) = 4X + 9 >= X = X
   
   add(s(X),Y) = 2X + 4Y + 5 >= 2X + 4Y + 5 = s(n__add(activate(X),Y))
   
   len(nil()) = 6 >= 2 = 0()
   
   len(cons(X,Z)) = 8X + 4Z + 6 >= 4Z + 4 = s(n__len(activate(Z)))
   
   fst(X1,X2) = 4X1 + 2X2 + 7 >= 2X1 + X2 + 6 = n__fst(X1,X2)
   
   from(X) = 4X + 3 >= 2X + 3 = n__from(X)
   
   add(X1,X2) = 2X1 + 4X2 + 5 >= X1 + 4X2 + 5 = n__add(X1,X2)
   
   len(X) = 4X + 6 >= 2X + 4 = n__len(X)
   
   activate(n__fst(X1,X2)) = 4X1 + 2X2 + 12 >= 4X1 + 2X2 + 7 = fst(X1,X2)
   
   activate(n__from(X)) = 4X + 6 >= 4X + 3 = from(X)
   
   activate(n__add(X1,X2)) = 2X1 + 8X2 + 10 >= 2X1 + 4X2 + 5 = add(X1,X2)
   
   activate(n__len(X)) = 4X + 8 >= 4X + 6 = len(X)
   
   activate(X) = 2X >= X = X
  problem:
   from(X) -> cons(X,n__from(s(X)))
   add(s(X),Y) -> s(n__add(activate(X),Y))
   from(X) -> n__from(X)
   add(X1,X2) -> n__add(X1,X2)
   activate(X) -> X
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [n__add](x0, x1) = x0 + 4x1 + 2,
    
    [add](x0, x1) = 6x0 + 4x1 + 2,
    
    [n__from](x0) = x0 + 1,
    
    [from](x0) = 4x0 + 6,
    
    [activate](x0) = x0,
    
    [cons](x0, x1) = 3x0 + x1 + 2,
    
    [s](x0) = x0 + 3
   orientation:
    from(X) = 4X + 6 >= 4X + 6 = cons(X,n__from(s(X)))
    
    add(s(X),Y) = 6X + 4Y + 20 >= X + 4Y + 5 = s(n__add(activate(X),Y))
    
    from(X) = 4X + 6 >= X + 1 = n__from(X)
    
    add(X1,X2) = 6X1 + 4X2 + 2 >= X1 + 4X2 + 2 = n__add(X1,X2)
    
    activate(X) = X >= X = X
   problem:
    from(X) -> cons(X,n__from(s(X)))
    add(X1,X2) -> n__add(X1,X2)
    activate(X) -> X
   Matrix Interpretation Processor: dim=1
    
    interpretation:
     [n__add](x0, x1) = 2x0 + 4x1,
     
     [add](x0, x1) = 2x0 + 4x1 + 1,
     
     [n__from](x0) = x0,
     
     [from](x0) = 6x0,
     
     [activate](x0) = 4x0 + 2,
     
     [cons](x0, x1) = 2x0 + 4x1,
     
     [s](x0) = x0
    orientation:
     from(X) = 6X >= 6X = cons(X,n__from(s(X)))
     
     add(X1,X2) = 2X1 + 4X2 + 1 >= 2X1 + 4X2 = n__add(X1,X2)
     
     activate(X) = 4X + 2 >= X = X
    problem:
     from(X) -> cons(X,n__from(s(X)))
    Matrix Interpretation Processor: dim=1
     
     interpretation:
      [n__from](x0) = 2x0,
      
      [from](x0) = 5x0 + 4,
      
      [cons](x0, x1) = x0 + x1,
      
      [s](x0) = 2x0
     orientation:
      from(X) = 5X + 4 >= 5X = cons(X,n__from(s(X)))
     problem:
      
     Qed