The intended existential upper-bound statement and the proposed universal lower-bound statement are incomparable. Values 1/2 and 2 make the intended formula true but the proposed formula false; values 3/2 and 2 make the proposed formula true but the intended formula false. This audits formula alignment only and does not solve Erdős problem 33.
RESULT_JSON: {"intended_only_model":{"distinguishing_index":0,"intended_truth":true,"limsup_values":["1/2","2"],"proposed_truth":false},"proposed_only_model":{"distinguishing_index":0,"intended_truth":false,"limsup_values":["3/2","2"],"proposed_truth":true},"relationship":"INCOMPARABLE"}
