MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(x1)) -> x1
   a(c(x1)) -> c(c(a(a(b(x1)))))
   b(b(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 2,
    
    [b](x0) = x0 + 16,
    
    [a](x0) = x0 + 4
   orientation:
    a(x1) = x1 + 4 >= x1 = x1
    
    a(b(x1)) = x1 + 20 >= x1 = x1
    
    a(c(x1)) = x1 + 6 >= x1 + 28 = c(c(a(a(b(x1)))))
    
    b(b(x1)) = x1 + 32 >= x1 = x1
   problem:
    strict:
     a(c(x1)) -> c(c(a(a(b(x1)))))
    weak:
     a(x1) -> x1
     a(b(x1)) -> x1
     b(b(x1)) -> x1
   Open