CVXPY
Minimize
  Sum(X, None, False)
Subject To
 13: 1.0 <= min(X, None, False)
Bounds
 X free
End
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AFTER COMPILATION
Minimize
  C0 + C1 + C2 + C3
Subject To
 R0: - C0 - C4 <= 0
 R1: - C1 - C4 <= 0
 R2: - C2 - C4 <= 0
 R3: - C3 - C4 <= 0
 R4: C4 <= -1
Bounds
 C0 free
 C1 free
 C2 free
 C3 free
 C4 free
End
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GUROBI
Minimize
  X[0,0] + X[0,1] + X[1,0] + X[1,1]
Subject To
 13: min_1 >= 1
Bounds
 X[0,0] free
 X[0,1] free
 X[1,0] free
 X[1,1] free
 min_1 free
General Constraints
 GC0: min_1 = MIN ( X[0,0] , X[0,1] , X[1,0] , X[1,1] )
End