the paradox with Bec's creation is that after a bec-prototyped Jack Noir got the trolls trapped on the meteor, Vriska mind controlled the dersite agents into taking the MEOW book to the ectobiology labs and making Bec with it (pages 004860-004964). She also was partly the cause of Bec getting prototyped (004875) which is also paradoxical and involves Bec.