YES

Problem:
 f(X) -> g()

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