Sinister Supermen’s Strange Situation

When the Justice Society first encountered the hostile invading alien known as Aquarius, they were initially overwhelmed by the creatures power, which he projected through Starman's purloined Cosmic Rod. Finally tiring of these human adversaries. Aquarius seemingly wiped the entirety of Earth-Two of existence, save for those Society members present protected by Doctor Fate. Over the next two weeks, those heroes would be held captive in fear of an opponent who could erase them... and with them all memories of their beloved home.

After two weeks, the android Red Tornado returned from Earth-One with the Justice League, whom they sent him to recruit to assist them. Seeing the potential of these next enemies, Aquarius used his powers of persuasion to motivate the Justice Society towards unleashing their inner evil. This caused those Society members to attack their former friends in the League. 

A side effect of this excessive radiation internalized within each Socialite was an increase of power. This was especially evident in the Earth-Two Superman, who due to the nature of his superpowers (originating from Krypton-Two where all residents had superhuman physical abilities, rather than those of Krypton-One who gained more powerful superhuman abilities due to the yellow sun radiation of Earth) was able to match blow-for-blow with his Earth-One counterpart. Regrettably, this first meeting of the Men of Steel left both unconscious, succumbing to each others tremendous might.

Thankfully, the League as a whole subdued the Society, restoring their sanity, and together the twin teams battled Aquarius together. Luring the creature into the Negative, or Anti-Matter, Universe... Aquarius was destroyed and his influence removed as Earth-Two was restored to normal.

However, the Justice League soon found on their return trip to Earth-One that they also internalized some of Aquarius' radiation, unleashing their own evil sides. However, these sinister versions materialized as energy beings for all members... except for Superman! Apparently the physics differ between both universes, on Earth-Two evil is like a parasitic energy field and on Earth-One it is a projected energy field. What though was the reason as to no evil Earth-One Superman?

As an infant rocketing from Krypton-One, baby Kal-El and his vessel encountered an alien satellite with a duplicating machine aboard. This collision spawned an evil energy replica of the child, who like the original arrived on Earth-One. Raised on that world by criminals "Wolf" Derek and his wife Bonnie, the lad grew to become Super-Brat then Super-Bully before reaching adulthood as Super-Menace (similar to Wonder Boy, the Kal-L of planet Viro from another universe, who crash landed on Earth-Two instead of Earth-X in 1940). This corrupt creature battled the now grown Kal-El aka Superman, and nearly killed him with Kryptonite meteors. However, this evil version repented, saving his heroic twin while extinguishing his own psuedo-life as a result.

From this experience, Superman knew how to motivate his Justice League teammate into battling and overcoming their own evil energized copies. This finally rid them of Aquarius' influence, a week after they likewise helped eliminate the evil Justice Society.