Consider two atomic claims about the same topic in English language.

Using only the information explicitly stated in the two claims below, answer the following:

Condition 1: Can Claim 1 be inferred from Claim 2 using ONLY the information present in these claims?

Condition 2: Can Claim 2 be inferred from Claim 1 using ONLY the information present in these claims?

Output Format: Return a *yes* IF AND ONLY IF BOTH CONDITIONS ARE TRUE, else return *no*. DO NOT PRINT ANYTHING ELSE

INPUT:
Topic:

{topic}

Claim 1:

{claim1}

Claim 2:

{claim2}

OUTPUT: