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

Proof:
 Church Rosser Transformation Processor (kb):
  f(x,x) -> a()
  f(x,g(x)) -> b()
  critical peaks: joinable
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [b] = 0,
    
    [g](x0) = 4x0 + 2,
    
    [a] = 4,
    
    [f](x0, x1) = x0 + 6x1 + 4
   orientation:
    f(x,x) = 7x + 4 >= 4 = a()
    
    f(x,g(x)) = 25x + 16 >= 0 = b()
   problem:
    f(x,x) -> a()
   Matrix Interpretation Processor: dim=1
    
    interpretation:
     [a] = 0,
     
     [f](x0, x1) = x0 + 2x1 + 1
    orientation:
     f(x,x) = 3x + 1 >= 0 = a()
    problem:
     
    Qed