YES

Problem:
 f(s(x1),x2,x3,x4,x5,x6,x7,x8,x9,x10) -> f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
 f(0(),s(x2),x3,x4,x5,x6,x7,x8,x9,x10) -> f(x2,x2,x3,x4,x5,x6,x7,x8,x9,x10)
 f(0(),0(),s(x3),x4,x5,x6,x7,x8,x9,x10) -> f(x3,x3,x3,x4,x5,x6,x7,x8,x9,x10)
 f(0(),0(),0(),s(x4),x5,x6,x7,x8,x9,x10) -> f(x4,x4,x4,x4,x5,x6,x7,x8,x9,x10)
 f(0(),0(),0(),0(),s(x5),x6,x7,x8,x9,x10) -> f(x5,x5,x5,x5,x5,x6,x7,x8,x9,x10)
 f(0(),0(),0(),0(),0(),s(x6),x7,x8,x9,x10) -> f(x6,x6,x6,x6,x6,x6,x7,x8,x9,x10)
 f(0(),0(),0(),0(),0(),0(),s(x7),x8,x9,x10) -> f(x7,x7,x7,x7,x7,x7,x7,x8,x9,x10)
 f(0(),0(),0(),0(),0(),0(),0(),s(x8),x9,x10) -> f(x8,x8,x8,x8,x8,x8,x8,x8,x9,x10)
 f(0(),0(),0(),0(),0(),0(),0(),0(),s(x9),x10) -> f(x9,x9,x9,x9,x9,x9,x9,x9,x9,x10)
 f(0(),0(),0(),0(),0(),0(),0(),0(),0(),s(x10)) -> f(x10,x10,x10,x10,x10,x10,x10,x10,x10,x10)
 f(0(),0(),0(),0(),0(),0(),0(),0(),0(),0()) -> 0()

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [0] = 1,
   
   [f](x0, x1, x2, x3, x4, x5, x6, x7, x8, x9) = x0 + x1 + x2 + x3 + x4 + x5 + x6 + 2x7 + 2x8 + 2x9 + 7,
   
   [s](x0) = 7x0 + 1
  orientation:
   f(s(x1),x2,x3,x4,x5,x6,x7,x8,x9,x10) = 7x1 + 2x10 + x2 + x3 + x4 + x5 + x6 + x7 + 2x8 + 2x9 + 8 >= x1 + 2x10 + x2 + x3 + x4 + x5 + x6 + x7 + 2x8 + 2x9 + 7 = f(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
   
   f(0(),s(x2),x3,x4,x5,x6,x7,x8,x9,x10) = 2x10 + 7x2 + x3 + x4 + x5 + x6 + x7 + 2x8 + 2x9 + 9 >= 2x10 + 2x2 + x3 + x4 + x5 + x6 + x7 + 2x8 + 2x9 + 7 = f(x2,x2,x3,x4,x5,x6,x7,x8,x9,x10)
   
   f(0(),0(),s(x3),x4,x5,x6,x7,x8,x9,x10) = 2x10 + 7x3 + x4 + x5 + x6 + x7 + 2x8 + 2x9 + 10 >= 2x10 + 3x3 + x4 + x5 + x6 + x7 + 2x8 + 2x9 + 7 = f(x3,x3,x3,x4,x5,x6,x7,x8,x9,x10)
   
   f(0(),0(),0(),s(x4),x5,x6,x7,x8,x9,x10) = 2x10 + 7x4 + x5 + x6 + x7 + 2x8 + 2x9 + 11 >= 2x10 + 4x4 + x5 + x6 + x7 + 2x8 + 2x9 + 7 = f(x4,x4,x4,x4,x5,x6,x7,x8,x9,x10)
   
   f(0(),0(),0(),0(),s(x5),x6,x7,x8,x9,x10) = 2x10 + 7x5 + x6 + x7 + 2x8 + 2x9 + 12 >= 2x10 + 5x5 + x6 + x7 + 2x8 + 2x9 + 7 = f(x5,x5,x5,x5,x5,x6,x7,x8,x9,x10)
   
   f(0(),0(),0(),0(),0(),s(x6),x7,x8,x9,x10) = 2x10 + 7x6 + x7 + 2x8 + 2x9 + 13 >= 2x10 + 6x6 + x7 + 2x8 + 2x9 + 7 = f(x6,x6,x6,x6,x6,x6,x7,x8,x9,x10)
   
   f(0(),0(),0(),0(),0(),0(),s(x7),x8,x9,x10) = 2x10 + 7x7 + 2x8 + 2x9 + 14 >= 2x10 + 7x7 + 2x8 + 2x9 + 7 = f(x7,x7,x7,x7,x7,x7,x7,x8,x9,x10)
   
   f(0(),0(),0(),0(),0(),0(),0(),s(x8),x9,x10) = 2x10 + 14x8 + 2x9 + 16 >= 2x10 + 9x8 + 2x9 + 7 = f(x8,x8,x8,x8,x8,x8,x8,x8,x9,x10)
   
   f(0(),0(),0(),0(),0(),0(),0(),0(),s(x9),x10) = 2x10 + 14x9 + 18 >= 2x10 + 11x9 + 7 = f(x9,x9,x9,x9,x9,x9,x9,x9,x9,x10)
   
   f(0(),0(),0(),0(),0(),0(),0(),0(),0(),s(x10)) = 14x10 + 20 >= 13x10 + 7 = f(x10,x10,x10,x10,x10,x10,x10,x10,x10,x10)
   
   f(0(),0(),0(),0(),0(),0(),0(),0(),0(),0()) = 20 >= 1 = 0()
  problem:
   
  Qed