CVXPY
Maximize
  Sum(X, None, False)
Subject To
 26: max(X, None, False) + max(Y, None, False) <= 1.0
 31: Y == 1.0
Bounds
 X free
 Y free
End
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AFTER COMPILATION
Minimize
 Obj: -1 x_0 -1 x_1 -1 x_2 -1 x_3
Subject to
 c1: +1 x_5 = +1
 c2: +1 x_6 = +1
 c3: +1 x_7 = +1
 c4: +1 x_8 = +1
 c5: +1 x_0 -1 x_4 <= +0
 c6: +1 x_1 -1 x_4 <= +0
 c7: +1 x_2 -1 x_4 <= +0
 c8: +1 x_3 -1 x_4 <= +0
 c9: +1 x_5 -1 x_9 <= +0
 c10: +1 x_6 -1 x_9 <= +0
 c11: +1 x_7 -1 x_9 <= +0
 c12: +1 x_8 -1 x_9 <= +0
 c13: +1 x_4 +1 x_9 <= +1
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 free
 x_5 free
 x_6 free
 x_7 free
 x_8 free
 x_9 free
End
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SCIP
Maximize
 Obj: +1 X_0_0 +1 X_0_1 +1 X_1_0 +1 X_1_1
Subject to
 max_1_0_0: +1 X_0_0 -1 max_1 <= +0
 max_1_0_1: +1 X_0_1 -1 max_1 <= +0
 max_1_1_0: +1 X_1_0 -1 max_1 <= +0
 max_1_1_1: +1 X_1_1 -1 max_1 <= +0
 max_2_0_0: +1 Y_0_0 -1 max_2 <= +0
 max_2_0_1: +1 Y_0_1 -1 max_2 <= +0
 max_2_1_0: +1 Y_1_0 -1 max_2 <= +0
 max_2_1_1: +1 Y_1_1 -1 max_2 <= +0
 26: +1 max_1 +1 max_2 <= +1
 31_0_0: +1 Y_0_0 = +1
 31_0_1: +1 Y_0_1 = +1
 31_1_0: +1 Y_1_0 = +1
 31_1_1: +1 Y_1_1 = +1
Bounds
 X_0_0 free
 X_0_1 free
 X_1_0 free
 X_1_1 free
 max_1 free
 Y_0_0 free
 Y_0_1 free
 Y_1_0 free
 Y_1_1 free
 max_2 free
End