Step 1: Define the presidential system.
A system with a separately elected executive (President) who is both head of state and head of government, with a fixed tenure and separation of powers from the legislature.
Step 2: Historical origin.
The modern presidential model {originated} with the U.S. Constitution (1787). It institutionalized separation of powers, checks and balances, and independent mandates for President and Congress.
Step 3: Rule out other options.
Canada follows the Westminster parliamentary system; France is semi-presidential (5th Republic, 1958); Sri Lanka adopted a presidential/semi-presidential variant later, not the originator.
Step 4: Conclude.
\[
\boxed{\text{United States of America (Option C).}}
\]