MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(x1)) -> b(c(a(a(x1))))
   a(c(c(x1))) -> b(a(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 8,
    
    [b](x0) = x0 + 8,
    
    [a](x0) = x0 + 23
   orientation:
    a(x1) = x1 + 23 >= x1 = x1
    
    a(b(x1)) = x1 + 31 >= x1 + 62 = b(c(a(a(x1))))
    
    a(c(c(x1))) = x1 + 39 >= x1 + 31 = b(a(x1))
   problem:
    strict:
     a(b(x1)) -> b(c(a(a(x1))))
    weak:
     a(x1) -> x1
     a(c(c(x1))) -> b(a(x1))
   Open