I left soldier in pub without any reason (9)

I believe the answer is:

illogical

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'without any reason' is the definition.
I can't judge whether this definition defines the answer.

'i left soldier in pub' is the wordplay.
'left' becomes 'l' (common abbreviation).
'soldier' becomes 'gi' (government issue or general issue).
'in' indicates putting letters inside.
'pub' becomes 'local' (I've seen this before).
'gi' placed within 'local' is 'logical'.
'i'+'l'+'logical'='ILLOGICAL'

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(Other definitions for illogical that I've seen before include "Lacking sound reasoning" , "Irrational" , "Unreasonable" , "Having no base" , "not following" .)

I've seen this clue in The Independent.

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