CVXPY
Maximize
  Sum(X + Y, None, False)
Subject To
 14: maximum(X, Y) <= 1.0
Bounds
 X free
 Y free
End
----------------------------------------
AFTER COMPILATION
Minimize
  - x_0 - x_1 - x_2 - x_3
Subject To
 R0: x_0 - x_4 <= 0
 R1: x_1 - x_5 <= 0
 R2: x_2 - x_4 <= 0
 R3: x_3 - x_5 <= 0
 R4: x_4 <= 1
 R5: x_5 <= 1
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 free
 x_5 free
End
----------------------------------------
GUROBI
Maximize
  X[0] + X[1] + Y[0] + Y[1]
Subject To
 14[0]: maximum_1 <= 1
 14[1]: maximum_2 <= 1
Bounds
 X[0] free
 X[1] free
 Y[0] free
 Y[1] free
 maximum_1 free
 maximum_2 free
General Constraints
 GC0: maximum_1 = MAX ( X[0] , Y[0] )
 GC1: maximum_2 = MAX ( X[1] , Y[1] )
End