MAYBE

Problem:
 f(g(a())) -> a()
 f(f(x)) -> b()
 g(x) -> f(g(x))

Proof:
 RT Transformation Processor:
  strict:
   f(g(a())) -> a()
   f(f(x)) -> b()
   g(x) -> f(g(x))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b] = 0,
    
    [f](x0) = x0 + 24,
    
    [g](x0) = x0,
    
    [a] = 0
   orientation:
    f(g(a())) = 24 >= 0 = a()
    
    f(f(x)) = x + 48 >= 0 = b()
    
    g(x) = x >= x + 24 = f(g(x))
   problem:
    strict:
     g(x) -> f(g(x))
    weak:
     f(g(a())) -> a()
     f(f(x)) -> b()
   Open