Argument from the inadequacy of eternal punishment

This argument presumes the existence of eternal punishment and that God is loving, just and/or merciful. It can be split in 3 distinct arguments depending on which property you decide to focus on since every one of them is inconsistent with the idea of eternal punishment:

A(1)

1. A loving God wouldn't torture those He loves.
2. If God tortures those He loves, a loving God does not exist.
3. God tortures those He loves.
4. Therefore, a loving God does not exist.

A(2)

1. A just God wouldn't punish a person eternally, He would proportion the time of the penalty to the brief lifetime when the offense occurred.
2. If God punishes persons eternally, a just God does not exist.
3. God punishes persons eternally.
4. Therefore, a just God does not exist.

A(3)

1. A merciful God wouldn't be forever unforgiving.
2. If God is forever unforgiving, a merciful God does not exist.
3. God is forever unforgiving.
4. Therefore, a merciful God does not exist.