Phrases Expressions for Agreeing to Disagree

I'm not convinced by your reasoning.

Meaning

I find your logic unconvincing.

Translation language

John: 'The evidence clearly points to guilt.'<br>
Alice: 'I'm not convinced by your reasoning; there are inconsistencies in the testimony.'
John: 'The strategy will inevitably lead to success.'<br>
Alice: 'I'm not convinced by your reasoning; there are significant market risks.'