In plain English
FAR 52.232-10, Payments under Fixed-Price Architect-Engineer Contracts, is a contract clause prescribed at FAR 32.111(c)(1), most recently dated Apr 2010. The complete official text is reproduced below, verbatim, from GSA's published FAR source files.
Its text contains no sentence requiring insertion into subcontracts; see the flowdown section below for what that does and does not mean.
Does it flow down to subcontracts?
No flowdown mandate found in the clause text
We scanned the full clause text and found no sentence directing the contractor to insert this clause into subcontracts. That is a statement about the text, not legal advice: a prime contractor may still flow terms down contractually, an agency supplement (DFARS, VAAR, …) may add requirements, and clauses listed below (if any) may order this clause into subcontracts from the outside.
Where it's prescribed
As prescribed in 32.111(c)(1), insert the following clause:
Prescribing reference: FAR 32.111(c)(1).
The official text, verbatim
As prescribed in 32.111(c)(1), insert the following clause:
Payments under Fixed-Price Architect-Engineer Contracts (Apr 2010)
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(a) Estimates shall be made monthly of the amount and value of the work and services performed by the Contractor under this contract which meet the standards of quality established under this contract. The estimates, along with any supporting data required by the Contracting Officer, shall be prepared by the Contractor and submitted along with its voucher.
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(b) After receipt of each substantiated voucher, the Government shall pay the voucher as approved by the Contracting Officer or authorized representative. The Contracting Officer shall require a withholding from amounts due under paragraph (a) of this clause of up to 10 percent only if the Contracting Officer determines that such a withholding is necessary to protect the Government’s interest and ensure satisfactory completion of the contract. The amount withheld shall be determined based upon the Contractor’s performance record under this contract. Whenever the Contracting Officer determines that the work is substantially complete and that the amount retained is in excess of the amount adequate for the protection of the Government, the Contracting Officer shall release the excess amount to the Contractor.
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(c) Upon satisfactory completion by the Contractor and final acceptance by the Contracting Officer of all the work done by the Contractor under the "Statement of Architect-Engineer Services", the Contractor will be paid the unpaid balance of any money due for work under the statement, including all withheld amounts.
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(d) Before final payment under the contract, or before settlement upon termination of the contract, and as a condition precedent thereto, the Contractor shall execute and deliver to the Contracting Officer a release of all claims against the Government arising under or by virtue of this contract, other than any claims that are specifically excepted by the Contractor from the operation of the release in amounts stated in the release.
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(e) Notwithstanding any other provision in this contract, and specifically paragraph (b) of this clause, progress payments shall not exceed 80 percent on work accomplished on undefinitized contract actions. A "contract action" is any action resulting in a contract, as defined in FAR subpart 2.1, including contract modifications for additional supplies or services, but not including contract modifications that are within the scope and under the terms of the contract, such as contract modifications issued pursuant to the Changes clause, or funding and other administrative changes.
(End of clause)