YES

Problem:
 f(f(X)) -> c()
 c() -> d()
 h(X) -> c()

Proof:
 Polynomial Interpretation Processor:
  dimension: 1
  interpretation:
   [h](x0) = x0 + 7x0x0 + 4,
   
   [d] = 0,
   
   [c] = 2,
   
   [f](x0) = 2x0 + 1
  orientation:
   f(f(X)) = 4X + 3 >= 2 = c()
   
   c() = 2 >= 0 = d()
   
   h(X) = X + 7X*X + 4 >= 2 = c()
  problem:
   
  Qed