MAYBE

Problem:
 f(s(x),x) -> f(s(x),round(s(x)))
 round(0()) -> 0()
 round(0()) -> s(0())
 round(s(0())) -> s(0())
 round(s(s(x))) -> s(s(round(x)))

Proof:
 RT Transformation Processor:
  strict:
   f(s(x),x) -> f(s(x),round(s(x)))
   round(0()) -> 0()
   round(0()) -> s(0())
   round(s(0())) -> s(0())
   round(s(s(x))) -> s(s(round(x)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [0] = 0,
    
    [round](x0) = x0 + 17,
    
    [f](x0, x1) = x0 + x1 + 3,
    
    [s](x0) = x0
   orientation:
    f(s(x),x) = 2x + 3 >= 2x + 20 = f(s(x),round(s(x)))
    
    round(0()) = 17 >= 0 = 0()
    
    round(0()) = 17 >= 0 = s(0())
    
    round(s(0())) = 17 >= 0 = s(0())
    
    round(s(s(x))) = x + 17 >= x + 17 = s(s(round(x)))
   problem:
    strict:
     f(s(x),x) -> f(s(x),round(s(x)))
     round(s(s(x))) -> s(s(round(x)))
    weak:
     round(0()) -> 0()
     round(0()) -> s(0())
     round(s(0())) -> s(0())
   Open