CVXPY
Maximize
  Sum(X, None, False)
Subject To
 67: maximum(X, z, 1.0) <= 2.0
 71: z == 1.0
Bounds
 X free
 z free
End
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AFTER COMPILATION
Minimize
  - x_0 - x_1 - x_2 - x_3
Subject To
 R0: x_8 = 1
 R1: x_0 - x_4 <= 0
 R2: x_1 - x_5 <= 0
 R3: x_2 - x_6 <= 0
 R4: x_3 - x_7 <= 0
 R5: - x_4 + x_8 <= 0
 R6: - x_5 + x_8 <= 0
 R7: - x_6 + x_8 <= 0
 R8: - x_7 + x_8 <= 0
 R9: - x_4 <= -1
 R10: - x_5 <= -1
 R11: - x_6 <= -1
 R12: - x_7 <= -1
 R13: x_4 <= 2
 R14: x_5 <= 2
 R15: x_6 <= 2
 R16: x_7 <= 2
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 >= 1
 x_5 >= 1
 x_6 >= 1
 x_7 >= 1
 x_8 free
End
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GUROBI
Maximize
  X[0,0] + X[0,1] + X[1,0] + X[1,1]
Subject To
 67[0,0]: maximum_1 <= 2
 67[0,1]: maximum_2 <= 2
 67[1,0]: maximum_3 <= 2
 67[1,1]: maximum_4 <= 2
 71: z = 1
Bounds
 X[0,0] free
 X[0,1] free
 X[1,0] free
 X[1,1] free
 z free
 maximum_1 free
 maximum_2 free
 maximum_3 free
 maximum_4 free
General Constraints
 GC0: maximum_1 = MAX ( X[0,0] , z , 1 )
 GC1: maximum_2 = MAX ( X[0,1] , z , 1 )
 GC2: maximum_3 = MAX ( X[1,0] , z , 1 )
 GC3: maximum_4 = MAX ( X[1,1] , z , 1 )
End