MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(x1) -> b(c(x1))
   b(b(x1)) -> x1
   c(c(b(x1))) -> a(a(c(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 17,
    
    [c](x0) = x0 + 16,
    
    [a](x0) = x0 + 16
   orientation:
    a(x1) = x1 + 16 >= x1 = x1
    
    a(x1) = x1 + 16 >= x1 + 33 = b(c(x1))
    
    b(b(x1)) = x1 + 34 >= x1 = x1
    
    c(c(b(x1))) = x1 + 49 >= x1 + 48 = a(a(c(x1)))
   problem:
    strict:
     a(x1) -> b(c(x1))
    weak:
     a(x1) -> x1
     b(b(x1)) -> x1
     c(c(b(x1))) -> a(a(c(x1)))
   Open