MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(b(a(x1)))) -> a(c(c(b(x1))))
   c(x1) -> a(b(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 10,
    
    [b](x0) = x0 + 8,
    
    [a](x0) = x0
   orientation:
    a(x1) = x1 >= x1 = x1
    
    a(b(b(a(x1)))) = x1 + 16 >= x1 + 28 = a(c(c(b(x1))))
    
    c(x1) = x1 + 10 >= x1 + 8 = a(b(x1))
   problem:
    strict:
     a(x1) -> x1
     a(b(b(a(x1)))) -> a(c(c(b(x1))))
    weak:
     c(x1) -> a(b(x1))
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 6,
     
     [b](x0) = x0 + 4,
     
     [a](x0) = x0 + 2
    orientation:
     a(x1) = x1 + 2 >= x1 = x1
     
     a(b(b(a(x1)))) = x1 + 12 >= x1 + 18 = a(c(c(b(x1))))
     
     c(x1) = x1 + 6 >= x1 + 6 = a(b(x1))
    problem:
     strict:
      a(b(b(a(x1)))) -> a(c(c(b(x1))))
     weak:
      a(x1) -> x1
      c(x1) -> a(b(x1))
    Open