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

Proof:
 Church Rosser Transformation Processor (kb):
  f(i(x),g(a())) -> f(j(x,x),g(b()))
  b() -> a()
  i(x) -> j(x,x)
  critical peaks: joinable
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [b] = 0,
    
    [j](x0, x1) = x0 + 6x1 + 5,
    
    [f](x0, x1) = 4x0 + 2x1,
    
    [g](x0) = 2x0 + 3,
    
    [a] = 0,
    
    [i](x0) = 7x0 + 6
   orientation:
    f(i(x),g(a())) = 28x + 30 >= 28x + 26 = f(j(x,x),g(b()))
    
    b() = 0 >= 0 = a()
    
    i(x) = 7x + 6 >= 7x + 5 = j(x,x)
   problem:
    b() -> a()
   Matrix Interpretation Processor: dim=3
    
    interpretation:
           [1]
     [b] = [0]
           [0],
     
           [0]
     [a] = [0]
           [0]
    orientation:
           [1]    [0]      
     b() = [0] >= [0] = a()
           [0]    [0]      
    problem:
     
    Qed