MAYBE

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

Proof:
 Complexity Transformation Processor:
  strict:
   a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1))))))))
   b(b(a(a(x1)))) -> b(b(b(b(c(c(x1))))))
   a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(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(a(a(x1)))) = x1 >= x1 = a(a(b(b(b(b(b(b(x1))))))))
     
     b(b(a(a(x1)))) = x1 >= x1 + 2 = b(b(b(b(c(c(x1))))))
     
     a(a(b(b(b(b(c(c(x1)))))))) = x1 + 2 >= x1 = a(a(a(a(a(a(b(b(x1))))))))
    problem:
     strict:
      a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1))))))))
      b(b(a(a(x1)))) -> b(b(b(b(c(c(x1))))))
     weak:
      a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1))))))))
    Open