CVXPY
Minimize
  Sum(X, None, False)
Subject To
 50: -2.0 <= minimum([[1.00 -2.00]
 [3.00 4.00]], [[2.00 -1.00]
 [1.00 3.00]])
 55: X == 1.0
Bounds
 X free
End
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AFTER COMPILATION
Minimize
  C0 + C1 + C2 + C3
Subject To
 R0: C0 = 1
 R1: C1 = 1
 R2: C2 = 1
 R3: C3 = 1
 R4: <= 3
 R5: <= 3
 R6: <= 0
 R7: <= 5
Bounds
 C0 free
 C1 free
 C2 free
 C3 free
End
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GUROBI
Minimize
  X[0,0] + X[0,1] + X[1,0] + X[1,1]
Subject To
 50[0,0]: minimum_1 >= -2
 50[0,1]: minimum_2 >= -2
 50[1,0]: minimum_3 >= -2
 50[1,1]: minimum_4 >= -2
 55[0,0]: X[0,0] = 1
 55[0,1]: X[0,1] = 1
 55[1,0]: X[1,0] = 1
 55[1,1]: X[1,1] = 1
Bounds
 X[0,0] free
 X[0,1] free
 X[1,0] free
 X[1,1] free
 minimum_1 free
 minimum_2 free
 minimum_3 free
 minimum_4 free
General Constraints
 GC0: minimum_1 = MIN ( 1 )
 GC1: minimum_2 = MIN ( -2 )
 GC2: minimum_3 = MIN ( 1 )
 GC3: minimum_4 = MIN ( 3 )
End