MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(c(b(c(x1))))
   b(b(x1)) -> x1
   c(c(b(x1))) -> a(c(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 2,
    
    [c](x0) = x0 + 18,
    
    [a](x0) = x0 + 2
   orientation:
    a(x1) = x1 + 2 >= x1 + 40 = b(c(b(c(x1))))
    
    b(b(x1)) = x1 + 4 >= x1 = x1
    
    c(c(b(x1))) = x1 + 38 >= x1 + 20 = a(c(x1))
   problem:
    strict:
     a(x1) -> b(c(b(c(x1))))
    weak:
     b(b(x1)) -> x1
     c(c(b(x1))) -> a(c(x1))
   Open