MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(a(x1)) -> a(b(x1))
   b(x1) -> x1
   c(b(x1)) -> b(a(c(c(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0,
    
    [b](x0) = x0 + 5,
    
    [a](x0) = x0 + 23
   orientation:
    a(x1) = x1 + 23 >= x1 = x1
    
    a(a(x1)) = x1 + 46 >= x1 + 28 = a(b(x1))
    
    b(x1) = x1 + 5 >= x1 = x1
    
    c(b(x1)) = x1 + 5 >= x1 + 28 = b(a(c(c(x1))))
   problem:
    strict:
     c(b(x1)) -> b(a(c(c(x1))))
    weak:
     a(x1) -> x1
     a(a(x1)) -> a(b(x1))
     b(x1) -> x1
   Open