If the intellect is bound to materialism, it crawls on its belly. There is a struggle between the intellect and the soul. They struggle one with the other. The temptations of the intellect is part of the way that God tests us. Childbearing represents the process of being born spiritually and acquiring the spiritual qualities.
Materialism is the opposite of spirituality.
Eves desire for her husband is the test of turning to the physical instead of the spiritual. Eve is not included in the above verses because they do not pertain to the soul and it does not come to an end like the physical does. The man called his wife's name Eve, because she was the mother of all living. However, because we have the soul, man is the highest of creation, in this contingent world. The human is born into this world with a physical body, a soul and an intellect.