The operator's behavior is clarified: it returns 1 if and only if each atom provided in the sequence is less than its successor, with a particular emphasis on comparing A to B, and C to B in the given examples. This description suggests that the operator assesses whether the atoms are arranged in a lexicographically ascending order.

However, there appears to be confusion or ambiguity regarding whether the operator requires all the provided atoms to be in a strictly sorted list based on lexicographical order, or if the requirement is simply for B to be the largest (lexicographically last) among the mentioned atoms. The distinction is crucial as it affects how the operator should be applied and interpreted in different contexts. The clarification seeks to understand the operator's intended functionality more precisely, whether it mandates a fully sorted arrangement or just a particular condition related to the position of B within the sequence.