1. Superman melts the Adamantium using the lasers from his eyes.
2. Superman pulls it apart while it is in its liquid state
3. Superman turns it back into its solid state using his breath.
There, he broke it, kinda.
English
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I was referring to physical strength...
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I know, I just wanted to be silly. Honestly, he probably can. It's been theorized that he has infinite strength due to the fact that he lifted an infinite page book with Captain Marvel. So either 1. He has infinite strength and Captain Marvel just helped 2. Captain Marvel has infinite strength and Superman just helped 3. They both have infinite strength 4. None of them do and each page weighs less than the next page so that you made have an infinite number of pages, but a finite mass.
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I'm going for 3 most likely.