MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(b(b(x1))) -> c(x1)
   a(c(x1)) -> c(b(a(a(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 2,
    
    [b](x0) = x0 + 4,
    
    [a](x0) = x0 + 16
   orientation:
    a(x1) = x1 + 16 >= x1 + 4 = b(x1)
    
    a(b(b(x1))) = x1 + 24 >= x1 + 2 = c(x1)
    
    a(c(x1)) = x1 + 18 >= x1 + 38 = c(b(a(a(x1))))
   problem:
    strict:
     a(c(x1)) -> c(b(a(a(x1))))
    weak:
     a(x1) -> b(x1)
     a(b(b(x1))) -> c(x1)
   Open