Nitromethane undergoes an aldol type reaction with a racemic mixture of 2-methylcyclohexanone in presence of aqueous NaOH in two steps I and II to give the product P. The statements NOT correct among the following are

A

The equilibrium in step I will be more towards the right as water is a stronger acid than nitromethane

B

The carbanion formed in reaction I can be stabilized due to resonance

C

The product formed will be a mixture of four stereoisomers in the form of two pairs of enantiomers

D

The mixture of products formed can be readily dehydrated to give a single product