MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(b(x1))) -> b(b(a(b(c(a(x1))))))
   b(c(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0,
    
    [b](x0) = x0 + 9,
    
    [a](x0) = x0 + 12
   orientation:
    a(x1) = x1 + 12 >= x1 = x1
    
    a(b(b(x1))) = x1 + 30 >= x1 + 51 = b(b(a(b(c(a(x1))))))
    
    b(c(x1)) = x1 + 9 >= x1 = x1
   problem:
    strict:
     a(b(b(x1))) -> b(b(a(b(c(a(x1))))))
    weak:
     a(x1) -> x1
     b(c(x1)) -> x1
   Open