MAYBE

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

Proof:
 Complexity Transformation Processor:
  strict:
   a(a(b(x1))) -> b(a(x1))
   b(a(a(x1))) -> a(a(a(b(x1))))
   a(c(x1)) -> c(b(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [c](x0) = x0,
     
     [a](x0) = x0 + 1,
     
     [b](x0) = x0
    orientation:
     a(a(b(x1))) = x1 + 2 >= x1 + 1 = b(a(x1))
     
     b(a(a(x1))) = x1 + 2 >= x1 + 3 = a(a(a(b(x1))))
     
     a(c(x1)) = x1 + 1 >= x1 = c(b(x1))
    problem:
     strict:
      b(a(a(x1))) -> a(a(a(b(x1))))
     weak:
      a(a(b(x1))) -> b(a(x1))
      a(c(x1)) -> c(b(x1))
    Open