Seeing red? Katy Perry hits the stage in scarlet ensemble for Witness tour... hours after it's revealed arch-nemesis Taylor Swift has dwarfed her latest album sales with 1M debut

She's famously been at loggerheads with Taylor Swift for several years - with the pair even trading barbs in the form of their respective chart-topping hits.

And Katy Perry, 33, may well have had her arch-nemesis on her mind when her Witness tour continued on Tuesday, as she performed hours after it was revealed that Taylor's new album Reputation sold more than 1million copies in just four days.

Bon Appétit singer Katy - whose own latest album Witness wheezed its way to 180,000 in sales in its opening week back in June - defiantly entertained fans as she stepped onstage San Jose, California's SAP Center in an eye-catching red ensemble.

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Witness the fitness: Katy Perry took to the stage at San Jose, California's SAP Center on Tuesday night, as she pressed on with her Witness tour

Witness the fitness: Katy Perry took to the stage at San Jose, California's SAP Center on Tuesday night, as she pressed on with her Witness tour

Looking every inch the pop diva, the star lit up the stage as she stepped out in a glittering asymmetrical red sheer dress, which featured a matching hood.

The attention-commanding number, which was worn over a matching bodysuit and was cinched at the waist with a broad belt, was teamed with a pair of fire engine red patent knee-high boots.

She added an extra touch of chic to her shoulder-padded look with a pair of cat eye shades as she belted her way through a selection of her biggest hits.

Big news: Katy's stage performance came hours after it was revealed that her arch-nemesis Taylor Swift's latest album Reputation sold over 1million copies in just four days

Big news: Katy's stage performance came hours after it was revealed that her arch-nemesis Taylor Swift's latest album Reputation sold over 1million copies in just four days

Competitively smaller sales: In comparison, Katy's album Witness wheezed its way to 180,000 in sales in its opening week back in June, though it still took the top spot on the charts

Competitively smaller sales: In comparison, Katy's album Witness wheezed its way to 180,000 in sales in its opening week back in June, though it still took the top spot on the charts

Feud: Katy's feud with Taylor goes back a number of years, with the pair trading barbs in song

Feud: Katy's feud with Taylor goes back a number of years, with the pair trading barbs in song

Seeing red: Looking every inch the pop diva, the star lit up the stage as she stepped out in a glittering asymmetrical red sheer dress, which featured a matching hood

Seeing red: Looking every inch the pop diva, the star lit up the stage as she stepped out in a glittering asymmetrical red sheer dress, which featured a matching hood

Her performance came as it was revealed that Taylor's new album sales had outstripped her own recent efforts, which featured the single Swish Swish - largely accepted to be a track aimed at Taylor.

The accompanying video shows Katy on the Tigers basketball team while a man with a blonde wig is on a team called the Sheeps.

Katy famously called Taylor a Regina George in sheep's clothing. Regina is the backstabber played by Rachel McAdams from the Lindsay Lohan movie Mean Girls. 

She sings: 'Don't lose no sleep Don't need opinions From a shellfish or a sheep Don't you come for me No, not today You're calculated I got your number 'Cause you're a joker And I'm a courtside killer queen And you will kiss the ring You best believe.' 

Biggest hits: She belted her way through a selection of her biggest hits as she took to the stage

Biggest hits: She belted her way through a selection of her biggest hits as she took to the stage

Cinch: Her dress was worn over a red bodysuit and was cinched at the waist with a broad belt

Cinch: Her dress was worn over a red bodysuit and was cinched at the waist with a broad belt

Footwear: The star teamed her dress with a pair of fire engine red patent knee-high boots

Footwear: The star teamed her dress with a pair of fire engine red patent knee-high boots

Squad: She was backed up by a troupe of dancers, who caught the eye in their PVC outfits

Squad: She was backed up by a troupe of dancers, who caught the eye in their PVC outfits

Meanwhile, it was widely assumed that Taylor's 2014 single Bad Blood was about Katy.

Taylor, 27, announced the details of her upcoming Reputation tour of North America on Monday.

The over two-dozen city tour is the Ready For It? singer's first time on the road since her 2015 concerts for 1989 and will kick off in Phoenix, Arizona on May 8, 2018.

Tickets are set to go on sale on December 13, but fans will have to register for an opportunity to purchase their seats via Ticketmaster #VerifiedFan.

Tour: Katy's tour, which kicked off in September, is now winding its way through North America

Tour: Katy's tour, which kicked off in September, is now winding its way through North America

Extra chic: She added a chic touch to her shoulder-padded look with a pair of cat eye shades

Extra chic: She added a chic touch to her shoulder-padded look with a pair of cat eye shades

Spawning hits: The star has enjoyed a number of chart-topping hits from her album, including Swish Swish and Bon Appétit

Spawning hits: The star has enjoyed a number of chart-topping hits from her album, including Swish Swish and Bon Appétit

All over the world: Her tour will conclude in August, 2018, when she heads over to Australia

All over the world: Her tour will conclude in August, 2018, when she heads over to Australia

The fan system was set up to deter 'scalpers or bot' from snagging up the precious tickets, letting fan's 'boost' their spot in the ticket queue by streaming music videos, purchasing merchandise or pre-ordering albums.

#VerifiedFan has been criticised by some who claim the system forces fans to spend heaps more than face value to secure tickets for their favorite artist.The Pennsylvania born songstress will announce the details of the European, Australian, and New Zealand legs of her tour at a later time.

Katy's Witness world tour, which kicked off in September, is set to run until August, 2018, when her roadshow takes her to Australia.

On the road again! Taylor just announced the details of her upcoming Reputation tour, which will kick off May 2018 in Phoenix, Arizona

On the road again! Taylor just announced the details of her upcoming Reputation tour, which will kick off May 2018 in Phoenix, Arizona

Get ready for it! Tickets are set to go on sale on December 13, but fans will have to register for an opportunity to purchase their seats via Ticketmaster #VerifiedFan

Get ready for it! Tickets are set to go on sale on December 13, but fans will have to register for an opportunity to purchase their seats via Ticketmaster #VerifiedFan

Sell out! Swifts sixth full-length release, Reputation, was released on  November 10, selling a reported 700,000 copies in the US on its first day, according to Billboard

Sell out! Swifts sixth full-length release, Reputation, was released on  November 10, selling a reported 700,000 copies in the US on its first day, according to Billboard

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