MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(b(c(x1)))
   c(a(x1)) -> x1
   c(b(b(b(x1)))) -> a(a(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 12,
    
    [c](x0) = x0 + 21,
    
    [a](x0) = x0 + 12
   orientation:
    a(x1) = x1 + 12 >= x1 + 45 = b(b(c(x1)))
    
    c(a(x1)) = x1 + 33 >= x1 = x1
    
    c(b(b(b(x1)))) = x1 + 57 >= x1 + 24 = a(a(x1))
   problem:
    strict:
     a(x1) -> b(b(c(x1)))
    weak:
     c(a(x1)) -> x1
     c(b(b(b(x1)))) -> a(a(x1))
   Open