MAYBE

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

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