MAYBE

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

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