MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(a(x1)) -> a(b(c(a(b(x1)))))
   c(b(x1)) -> a(c(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 3,
    
    [b](x0) = x0 + 4,
    
    [a](x0) = x0 + 1
   orientation:
    a(x1) = x1 + 1 >= x1 = x1
    
    a(a(x1)) = x1 + 2 >= x1 + 13 = a(b(c(a(b(x1)))))
    
    c(b(x1)) = x1 + 7 >= x1 + 4 = a(c(x1))
   problem:
    strict:
     a(a(x1)) -> a(b(c(a(b(x1)))))
    weak:
     a(x1) -> x1
     c(b(x1)) -> a(c(x1))
   Open