Question: Who won more national championships between the university featuring Fort Hill and the university of the state where Edwards won the primary besides the state containing Redan High School?

Knowledge 1: Redan High School
Redan High School is a public secondary school of the DeKalb County School District located in unincorporated DeKalb County, Georgia, United States. The school is south of the city of Stone Mountain. [SEP] Knowledge 2: 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 Dean, despite having withdrawn from the race two weeks earlier, won his home state of Vermont.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 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 Dean, despite having withdrawn from the race two weeks earlier, won his home state of Vermont.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: Redan High School
Redan High School is a public secondary school of the DeKalb County School District located in unincorporated DeKalb County, Georgia, United States. The school is south of the city of Stone Mountain. [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: Redan High School
Redan High School is a public secondary school of the DeKalb County School District located in unincorporated DeKalb County, Georgia, United States. The school is south of the city of Stone Mountain. [SEP] Knowledge 2: 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 3: Fort Hill High School
Fort Hill High School is a four-year public high school in Cumberland, Maryland, United States, serving 780 students in grades 9 through 12. [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

Answer: University of South Carolina