Despite raising their game in the final period, a fifth goal five minutes into the session sealed Wildcats' fate in Sheffield.
For the opening five minutes Wildcats exerted substantial pressure on the Sheffield goal but could find no way past netminder Paul Jones.
And at 45.33 Ben Morgan scored the final goal of the game on the powerplay to wrap up a convincing win for Sheffield.
Both Jamie Hayes and Ciaran Long went close towards the end of the game but again failed to beat Jones.
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