MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> b(a(c(x1)))
   b(b(x1)) -> a(a(x1))
   c(b(x1)) -> a(x1)
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 4,
    
    [c](x0) = x0 + 7,
    
    [a](x0) = x0 + 2
   orientation:
    a(a(x1)) = x1 + 4 >= x1 + 13 = b(a(c(x1)))
    
    b(b(x1)) = x1 + 8 >= x1 + 4 = a(a(x1))
    
    c(b(x1)) = x1 + 11 >= x1 + 2 = a(x1)
   problem:
    strict:
     a(a(x1)) -> b(a(c(x1)))
    weak:
     b(b(x1)) -> a(a(x1))
     c(b(x1)) -> a(x1)
   Open