YES

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

Proof:
 Uncurry Processor:
  a2(a1(x),x3) -> a2(a2(x,a1(a())),x3)
  a1(a1(x)) -> a1(a2(x,a1(a())))
  f(a1(x1),x2) -> a2(x1,x2)
  f(a(),x2) -> a1(x2)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                   [1 0 1]     [1 0 0]  
    [a2](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                   [0 0 0]     [0 0 0]  ,
    
               [1 0 1]     [0]
    [a1](x0) = [0 1 0]x0 + [0]
               [0 0 0]     [1],
    
                  [1 0 0]     [1 0 1]  
    [f](x0, x1) = [0 0 0]x0 + [0 1 0]x1
                  [1 1 0]     [0 1 0]  ,
    
          [0]
    [a] = [1]
          [0]
   orientation:
                   [1 0 1]    [1 0 0]     [1]    [1 0 1]    [1 0 0]                         
    a2(a1(x),x3) = [0 0 0]x + [0 0 0]x3 + [0] >= [0 0 0]x + [0 0 0]x3 = a2(a2(x,a1(a())),x3)
                   [0 0 0]    [0 0 0]     [0]    [0 0 0]    [0 0 0]                         
    
                [1 0 1]    [1]    [1 0 1]    [0]                    
    a1(a1(x)) = [0 1 0]x + [0] >= [0 0 0]x + [0] = a1(a2(x,a1(a())))
                [0 0 0]    [1]    [0 0 0]    [1]                    
    
                   [1 0 1]     [1 0 1]      [1 0 1]     [1 0 0]              
    f(a1(x1),x2) = [0 0 0]x1 + [0 1 0]x2 >= [0 0 0]x1 + [0 0 0]x2 = a2(x1,x2)
                   [1 1 1]     [0 1 0]      [0 0 0]     [0 0 0]              
    
                [1 0 1]     [0]    [1 0 1]     [0]         
    f(a(),x2) = [0 1 0]x2 + [0] >= [0 1 0]x2 + [0] = a1(x2)
                [0 1 0]     [1]    [0 0 0]     [1]         
   problem:
    f(a1(x1),x2) -> a2(x1,x2)
    f(a(),x2) -> a1(x2)
   Matrix Interpretation Processor: dim=3
    
    interpretation:
                    [1 0 0]     [1 0 0]  
     [a2](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                    [0 0 0]     [0 0 0]  ,
     
                [1 0 0]  
     [a1](x0) = [0 0 0]x0
                [0 0 0]  ,
     
                   [1 0 0]     [1 0 0]     [1]
     [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0]
                   [0 0 0]     [0 0 0]     [0],
     
           [0]
     [a] = [0]
           [0]
    orientation:
                    [1 0 0]     [1 0 0]     [1]    [1 0 0]     [1 0 0]              
     f(a1(x1),x2) = [0 0 0]x1 + [0 0 0]x2 + [0] >= [0 0 0]x1 + [0 0 0]x2 = a2(x1,x2)
                    [0 0 0]     [0 0 0]     [0]    [0 0 0]     [0 0 0]              
     
                 [1 0 0]     [1]    [1 0 0]           
     f(a(),x2) = [0 0 0]x2 + [0] >= [0 0 0]x2 = a1(x2)
                 [0 0 0]     [0]    [0 0 0]           
    problem:
     
    Qed