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

Proof:
 Church Rosser Transformation Processor (kb):
  f(f(x)) -> f(g(f(x)))
  critical peaks: joinable
  Matrix Interpretation Processor: dim=3
   
   interpretation:
              [1 0 0]  
    [g](x0) = [0 0 0]x0
              [0 0 0]  ,
    
              [1 1 0]     [0]
    [f](x0) = [0 0 0]x0 + [1]
              [1 0 0]     [1]
   orientation:
              [1 1 0]    [1]    [1 1 0]    [0]             
    f(f(x)) = [0 0 0]x + [1] >= [0 0 0]x + [1] = f(g(f(x)))
              [1 1 0]    [1]    [1 1 0]    [1]             
   problem:
    
   Qed