If the court entrusts the auction, it should be an execution procedure, and it is impossible to make a judgment later unless there are other problems in the middle.
There is no problem for the director to apply for execution. Before the property right is fixed, there is no way to register the house as a mortgage. During this period, the director is actually the guarantor of the buyer's loan from the bank. Once the buyer can't repay, the director assumes the guarantee responsibility to recover from the bank after repayment, and then enforces the subject matter of the purchase contract, so there is an auction. What is auctioned is not the property right of the house, but the subject matter of the purchase contract.
But in any case, the later judgment can't come out, and the execution procedure can only be ruling and judgment.