CVXPY
Minimize
  Sum(X, None, False)
Subject To
 39: -Y <= minimum(X, [ 2. -1.])
 44: Y == 1.0
Bounds
 X free
 Y free
End
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AFTER COMPILATION
Minimize
 Obj: +1 x_0 +1 x_1
Subject to
 c1: +1 x_4 = +1
 c2: +1 x_5 = +1
 c3: -1 x_0 -1 x_2 <= +0
 c4: -1 x_1 -1 x_3 <= +0
 c5: -1 x_2 <= +2
 c6: -1 x_3 <= -1
 c7: +1 x_2 -1 x_4 <= +0
 c8: +1 x_3 -1 x_5 <= +0
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 free
 x_5 free
End
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SCIP
Minimize
 Obj: +1 X_0 +1 X_1
Subject to
 minimum_1_0_0: +1 minimum_1_0 -1 X_0 <= +0
 minimum_1_0_1: +1 minimum_1_1 -1 X_1 <= +0
 minimum_1_1_0: +1 minimum_1_0 <= +2
 minimum_1_1_1: +1 minimum_1_1 <= -1
 39_0: +1 minimum_1_0 +1 Y_0 >= +0
 39_1: +1 minimum_1_1 +1 Y_1 >= +0
 44_0: +1 Y_0 = +1
 44_1: +1 Y_1 = +1
Bounds
 X_0 free
 X_1 free
 Y_0 free
 Y_1 free
 minimum_1_0 free
 minimum_1_1 free
End