Question: Who has more national championships than the school with Fort Hill or the facility in the location Edwards won the primary, but not the state with the 404 area code?

Knowledge 1: 2004 United States presidential election
In March's Super Tuesday, Kerry won decisive victories in the California, Connecticut, Georgia, Maryland, Massachusetts, New York, Ohio, and Rhode Island primaries and the Minnesota caucuses. Dean, despite having withdrawn from the race two weeks earlier, won his home state of Vermont. Edwards finished only slightly behind Kerry in Georgia, but, failing to win a single state other than South Carolina, chose to withdraw from the presidential race. Sharpton followed suit a couple weeks later. Kuninch did not leave the race officially until July. [SEP] Knowledge 2: Area code 404
Area code 404 of the North American Numbering Plan (NANP) identifies a numbering plan area (NPA) that covers Atlanta, Georgia and its closest suburbs, roughly the area encircled by Interstate 285. It is an enclave area code, completely surrounded by area code 770, which serves most of Atlanta's suburbs. Both 404 and 770 are overlaid by area codes 678 and 470. [SEP] Knowledge 3: Fort Hill (Clemson, South Carolina)
Fort Hill, also known as the John C. Calhoun Mansion and Library, is a National Historic Landmark on the Clemson University campus in Clemson, South Carolina. The house is significant as the home from 1825-50 of John C. Calhoun, a leading national politician of the period, and is now a museum and library maintained in his memory. [SEP] Knowledge 4: Clemson–South Carolina rivalry
College comparison Clemson University University of South Carolina Location Clemson Columbia Students 23,406 34,618 School colors Clemson Orange and Regalia Garnet and Black Nickname Tigers Gamecocks Mascot The Tiger and The Tiger Cub Cocky National Championships 5 10
Knowledge 1: 2004 United States presidential election
In March's Super Tuesday, Kerry won decisive victories in the California, Connecticut, Georgia, Maryland, Massachusetts, New York, Ohio, and Rhode Island primaries and the Minnesota caucuses. Dean, despite having withdrawn from the race two weeks earlier, won his home state of Vermont. Edwards finished only slightly behind Kerry in Georgia, but, failing to win a single state other than South Carolina, chose to withdraw from the presidential race. Sharpton followed suit a couple weeks later. Kuninch did not leave the race officially until July. [SEP] Knowledge 2: Fort Hill (Clemson, South Carolina)
Fort Hill, also known as the John C. Calhoun Mansion and Library, is a National Historic Landmark on the Clemson University campus in Clemson, South Carolina. The house is significant as the home from 1825-50 of John C. Calhoun, a leading national politician of the period, and is now a museum and library maintained in his memory. [SEP] Knowledge 3: Clemson–South Carolina rivalry
College comparison Clemson University University of South Carolina Location Clemson Columbia Students 23,406 34,618 School colors Clemson Orange and Regalia Garnet and Black Nickname Tigers Gamecocks Mascot The Tiger and The Tiger Cub Cocky National Championships 5 10 [SEP] Knowledge 4: Area code 404
Area code 404 of the North American Numbering Plan (NANP) identifies a numbering plan area (NPA) that covers Atlanta, Georgia and its closest suburbs, roughly the area encircled by Interstate 285. It is an enclave area code, completely surrounded by area code 770, which serves most of Atlanta's suburbs. Both 404 and 770 are overlaid by area codes 678 and 470.
Knowledge 1: 2004 United States presidential election
In March's Super Tuesday, Kerry won decisive victories in the California, Connecticut, Georgia, Maryland, Massachusetts, New York, Ohio, and Rhode Island primaries and the Minnesota caucuses. Dean, despite having withdrawn from the race two weeks earlier, won his home state of Vermont. Edwards finished only slightly behind Kerry in Georgia, but, failing to win a single state other than South Carolina, chose to withdraw from the presidential race. Sharpton followed suit a couple weeks later. Kuninch did not leave the race officially until July. [SEP] Knowledge 2: Delaware Route 404
Delaware Route 404 (DE 404) is a major state highway in Sussex County, Delaware that spans the width of the state. DE 404's western terminus is at the Maryland border northwest of Bridgeville, where it continues as Maryland Route 404 (MD 404), and its eastern terminus is at the Five Points intersection with U.S. Route 9 (US 9), DE 1, and US 9 Business (US 9 Bus.). The route passes through rural areas as well as the towns of Bridgeville and Georgetown. DE 404 runs concurrent with DE 18 from east of Bridgeville to Georgetown and with US 9 from Georgetown to Five Points. DE 404 has a business route, DE 404 Bus., that passes through Bridgeville and a truck route, DE 404 Truck, that bypasses Georgetown. DE 404, along with MD 404, serves as a major route connecting the Chesapeake Bay Bridge and the Baltimore-Washington Metropolitan Area with the Delaware Beaches. [SEP] Knowledge 3: Fort Hill (Clemson, South Carolina)
Fort Hill, also known as the John C. Calhoun Mansion and Library, is a National Historic Landmark on the Clemson University campus in Clemson, South Carolina. The house is significant as the home from 1825-50 of John C. Calhoun, a leading national politician of the period, and is now a museum and library maintained in his memory. [SEP] Knowledge 4: Gravel Hill, Delaware
Gravel Hill is an unincorporated community in Sussex County, Delaware, United States. Gravel Hill is located at the intersection of U.S. Route 9/Delaware Route 404 and Delaware Route 30 east of Georgetown.

Answer: University of South Carolina