YOU SAID:
when you have eliminated the impossible whatever remains however improbable must be the truth
INTO JAPANESE
あなたが不可能を排除したとき、たとえありそうもない残りが真実であるに違いない
BACK INTO ENGLISH
When you eliminate the impossible, even the unlikely rest must be true
INTO JAPANESE
あなたが不可能を排除するとき、ありそうもない残りでさえも真実でなければなりません
BACK INTO ENGLISH
When you eliminate the impossible, even the unlikely rest must be true
That didn't even make that much sense in English.