MAYBE

Problem:
 a(s(x1)) -> s(a(x1))
 b(a(b(s(x1)))) -> a(b(s(a(x1))))
 b(a(b(b(x1)))) -> a(b(a(b(x1))))
 a(b(a(a(x1)))) -> b(a(b(a(x1))))

Proof:
 Complexity Transformation Processor:
  strict:
   a(s(x1)) -> s(a(x1))
   b(a(b(s(x1)))) -> a(b(s(a(x1))))
   b(a(b(b(x1)))) -> a(b(a(b(x1))))
   a(b(a(a(x1)))) -> b(a(b(a(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [b](x0) = x0,
     
     [a](x0) = x0 + 1,
     
     [s](x0) = x0 + 1
    orientation:
     a(s(x1)) = x1 + 2 >= x1 + 2 = s(a(x1))
     
     b(a(b(s(x1)))) = x1 + 2 >= x1 + 3 = a(b(s(a(x1))))
     
     b(a(b(b(x1)))) = x1 + 1 >= x1 + 2 = a(b(a(b(x1))))
     
     a(b(a(a(x1)))) = x1 + 3 >= x1 + 2 = b(a(b(a(x1))))
    problem:
     strict:
      a(s(x1)) -> s(a(x1))
      b(a(b(s(x1)))) -> a(b(s(a(x1))))
      b(a(b(b(x1)))) -> a(b(a(b(x1))))
     weak:
      a(b(a(a(x1)))) -> b(a(b(a(x1))))
    Matrix Interpretation Processor:
     dimension: 3
     max_matrix:
      [1 1 1]
      [0 1 1]
      [0 0 1]
      interpretation:
                 [1 0 1]  
       [b](x0) = [0 1 0]x0
                 [0 0 1]  ,
       
                 [1 1 0]  
       [a](x0) = [0 0 1]x0
                 [0 0 1]  ,
       
                      [0]
       [s](x0) = x0 + [0]
                      [1]
      orientation:
                  [1 1 0]     [0]    [1 1 0]     [0]           
       a(s(x1)) = [0 0 1]x1 + [1] >= [0 0 1]x1 + [0] = s(a(x1))
                  [0 0 1]     [1]    [0 0 1]     [1]           
       
                        [1 1 2]     [2]    [1 1 2]     [1]                 
       b(a(b(s(x1)))) = [0 0 1]x1 + [1] >= [0 0 1]x1 + [1] = a(b(s(a(x1))))
                        [0 0 1]     [1]    [0 0 1]     [1]                 
       
                        [1 1 3]      [1 1 3]                   
       b(a(b(b(x1)))) = [0 0 1]x1 >= [0 0 1]x1 = a(b(a(b(x1))))
                        [0 0 1]      [0 0 1]                   
       
                        [1 1 3]      [1 1 3]                   
       a(b(a(a(x1)))) = [0 0 1]x1 >= [0 0 1]x1 = b(a(b(a(x1))))
                        [0 0 1]      [0 0 1]                   
      problem:
       strict:
        a(s(x1)) -> s(a(x1))
        b(a(b(b(x1)))) -> a(b(a(b(x1))))
       weak:
        b(a(b(s(x1)))) -> a(b(s(a(x1))))
        a(b(a(a(x1)))) -> b(a(b(a(x1))))
      Matrix Interpretation Processor:
       dimension: 3
       max_matrix:
        [1 1 1]
        [0 1 1]
        [0 0 1]
        interpretation:
                   [1 1 0]  
         [b](x0) = [0 0 1]x0
                   [0 0 1]  ,
         
                   [1 0 1]  
         [a](x0) = [0 1 0]x0
                   [0 0 1]  ,
         
                   [1 0 0]     [0]
         [s](x0) = [0 0 0]x0 + [0]
                   [0 0 1]     [1]
        orientation:
                    [1 0 1]     [1]    [1 0 1]     [0]           
         a(s(x1)) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = s(a(x1))
                    [0 0 1]     [1]    [0 0 1]     [1]           
         
                          [1 1 3]      [1 1 3]                   
         b(a(b(b(x1)))) = [0 0 1]x1 >= [0 0 1]x1 = a(b(a(b(x1))))
                          [0 0 1]      [0 0 1]                   
         
                          [1 0 2]     [2]    [1 0 2]     [1]                 
         b(a(b(s(x1)))) = [0 0 1]x1 + [1] >= [0 0 1]x1 + [1] = a(b(s(a(x1))))
                          [0 0 1]     [1]    [0 0 1]     [1]                 
         
                          [1 1 3]      [1 1 3]                   
         a(b(a(a(x1)))) = [0 0 1]x1 >= [0 0 1]x1 = b(a(b(a(x1))))
                          [0 0 1]      [0 0 1]                   
        problem:
         strict:
          b(a(b(b(x1)))) -> a(b(a(b(x1))))
         weak:
          a(s(x1)) -> s(a(x1))
          b(a(b(s(x1)))) -> a(b(s(a(x1))))
          a(b(a(a(x1)))) -> b(a(b(a(x1))))
        Open