MAYBE

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

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