MAYBE

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

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