MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(b(x1)) -> x1
   a(c(x1)) -> b(c(a(a(x1))))
   c(b(x1)) -> a(c(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 8,
    
    [a](x0) = x0,
    
    [b](x0) = x0 + 3
   orientation:
    a(b(x1)) = x1 + 3 >= x1 = x1
    
    a(c(x1)) = x1 + 8 >= x1 + 11 = b(c(a(a(x1))))
    
    c(b(x1)) = x1 + 11 >= x1 + 8 = a(c(x1))
   problem:
    strict:
     a(c(x1)) -> b(c(a(a(x1))))
    weak:
     a(b(x1)) -> x1
     c(b(x1)) -> a(c(x1))
   Open