A list of things against the rules in that log:
--- bdhcompany's turn 1 ---
bdhcompany plays 3 Coppers.
bdhcompany buys a Platinum.
--- bdhcompany's turn 2 ---
bdhcompany plays 4 Coppers.
bdhcompany buys a Platinum.
--- bdhcompany's turn 4 ---
bdhcompany plays 4 Coppers.
bdhcompany buys a Platinum.
--- bdhcompany's turn 5 ---
bdhcompany plays 3 Coppers and a Platinum.
bdhcompany buys a Platinum.
--- bdhcompany's turn 7 ---
bdhcompany plays 2 Coppers, a Platinum, and a Gold.
bdhcompany buys a Colony.
--- bdhcompany's turn 10 ---
bdhcompany plays a Copper and a Platinum.
bdhcompany buys a Colony.
--- bdhcompany's turn 12 ---
bdhcompany plays 4 Coppers and a Platinum.
bdhcompany buys a Colony.
--- bdhcompany's turn 18 ---
bdhcompany plays 2 Coppers, a Platinum, and a Gold.
bdhcompany buys a Colony.
--- bdhcompany's turn 19 ---
bdhcompany plays 2 Platinums.
bdhcompany buys a Colony.
Not that anything else actually makes sense either.