Unauthorized Debit

I logged a Complaint with Assupol for 3 Debit orders that took place, i even forwarded my bank statement as proof then i am told no transaction took place, so my money grew legs and disappeared and my statement states that Assupol debited, the frustrating part is that i gave no Authorization for them to debit.. but no they feel they have the right to debit and tell me i can't be refunded...now explain to me why theres Assupol on my bank statement...I really dont want to involve lawyers for such but i guess i am forced too.