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I want to build a belt of physical perfection+20.

I have followed all instructions in the core rule book.
My GM is stuck on the caster level and is saying that
“You can’t make the item because the caster level would be too high”.
He is swearing up and down that the belt is considered a variable.
He says that the caster level is related to the variable and therefore the
caster level to create a belt of physical perfection+20 would be too high so
therefore you can never make it.

Can you please clarify this issue and give me the EXACT instructions on
how to create a belt of physical perfection+20 to include the applicable caster level of the item.

Also, please give me the EXACT definition of what pathfinder means by the word “Variable”.

Thank you for your time.