MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> a(b(b(c(x1))))
   b(c(x1)) -> x1
   c(b(x1)) -> a(c(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 1,
    
    [c](x0) = x0 + 18,
    
    [a](x0) = x0
   orientation:
    a(a(x1)) = x1 >= x1 + 20 = a(b(b(c(x1))))
    
    b(c(x1)) = x1 + 19 >= x1 = x1
    
    c(b(x1)) = x1 + 19 >= x1 + 18 = a(c(x1))
   problem:
    strict:
     a(a(x1)) -> a(b(b(c(x1))))
    weak:
     b(c(x1)) -> x1
     c(b(x1)) -> a(c(x1))
   Open