It is clear that 18 USC Sec 1001 DOES apply to EEOC filings. For example, see law below:
TITLE 29, CHAPTER XIV CODE OF FEDERAL REGULATIONS
Subpart B--Employer Information Report
§1602.8 Penalty for making of willfully false statements on report
The making of willfully false statements on Report EEO-1 is a violation of the United States Code, Title 18, section 1001, and is punishable by fine or imprisonment as set forth therein.
That said, there is nothing in 1001 that provides for the voiding of contracts since it is a criminal statute. But, you may be able to use the concept of "unilateral mistake" as grounds for reforming the new contract to reflect the terms of the original version.
Pennsylvania follows the Restatement view concerning unilateral mistakes. According to the Section 153 of the RESTATEMENT (SECOND) OF CONTRACTS: Where a mistake of one party at the time a contract was made as to a basic assumption on which he made the contract has a material effect on the agreed exchange of performances that is adverse to him, the contract is voidable by him if he does not bear the risk of the mistake under the rule stated in § 154, and (a) the effect of the mistake is such that enforcement of the contract would be unconscionable, or (b) the other party had reason to know of the mistake or his fault caused the mistake.” RESTATEMENT (SECOND) OF CONTRACTS § 153 (1981).
See this case.
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