Actually, you're going to want to file a complaint against the defendant in bankruptcy court to get the debt deemed nondischargeable.

The Code section is 11 USC 523(2), which excepts from discharge those debts

(2) for money, property, services, or an extension, renewal, or refinancing of credit, to the extent obtained by—
(A) false pretenses, a false representation, or actual fraud, other than a statement respecting the debtor’s or an insider’s financial condition;
(B) use of a statement in writing—
(i) that is materially false;
(ii) respecting the debtor’s or an insider’s financial condition;
(iii) on which the creditor to whom the debtor is liable for such money, property, services, or credit reasonably relied; and
(iv) that the debtor caused to be made or published with intent to deceive.

A motion to lift the stay won't change the dischargeability of the debt, it will merely allow you to go back to state court. And that will be a waste if the debt is discharged in the bankruptcy - which will happen unless you file that action I mentioned above.