And still there remained poems

An Adam was there once
And an Eve too..
Once they began to write
Poems..
First poem..
Second poem..
And third poem..
They finished soon
But still there remained poems to be written

They keep on writing,
Writing and writing
Once Adam boasted:

"You tell me Eve, any letter
A, H, Y or Z
And I can write poems
Starting with that"

So soon they finished every letter,
And still there remained poems to be written.