MAYBE

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

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