MAYBE

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

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