According to Calvinists, does God command the non-elect to do what is for them impossible?

**Question:** Does God, according to Calvinism, command people *He has specifically given neither the ability nor choice to do so* to repent and believe in Christ *or be damned?*1, 2 And if so, why? --- Scriptures such as as 1 Corinthians 10:13 come to mind: >(NASB) No temptation has overtaken you but such as is common to man; and God is faithful, who will not allow you to be tempted beyond what you are able, but with the temptation will provide the way of escape also, so that you will be able to endure it. The converse of which means God would be *unjust* to tempt (or let suffer temptation rather: Jas 1:13) and *not* give means of escape. Thanks in advance. --- 1 By 'choice' I don't mean a 'creaturely will' as James White puts it, but a will that can choose salvation or damnation with the help of God post Fall (in the sense of refusing salvation in the case of damnation; and in the sense of accepting Christ and all that means in the case of salvation). I specify this as a 'creaturely will' which God *invented to specifically not choose* salvation does not meet the definition of 'was given the choice to be saved,' since such a choice was never even theoretically possible. Choice is here assumed to mean there is more than one *really possible* outcome (else choice is defined as 'you are free to do exactly what I tell you and nothing else.' 2 By 'ability' I mean the real and not merely theoretical capacity and power to do or perform some thing.