noun

an illogical or surprising lack of compatibility or similarity between two or more facts.

there’s a discrepancy between your account and his

inconsistency,difference,disparity,variance,variation,deviation,divergence,disagreement,dissimilarity,dissimilitude,mismatch,lack of similarity,contrariety,contradictoriness,disaccord,discordance,incongruity,lack of congruence,incompatibility,irreconcilability,conflict,opposition