CVXPY
Minimize
  Sum(X, None, False)
Subject To
 70: 0.0 <= minimum(X, z, 1.0)
 74: z == 1.0
Bounds
 X free
 z 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_8 = +1
 c2: -1 x_0 -1 x_4 <= +0
 c3: -1 x_1 -1 x_5 <= +0
 c4: -1 x_2 -1 x_6 <= +0
 c5: -1 x_3 -1 x_7 <= +0
 c6: -1 x_4 -1 x_8 <= +0
 c7: -1 x_5 -1 x_8 <= +0
 c8: -1 x_6 -1 x_8 <= +0
 c9: -1 x_7 -1 x_8 <= +0
 c10: -1 x_4 <= +1
 c11: -1 x_5 <= +1
 c12: -1 x_6 <= +1
 c13: -1 x_7 <= +1
 c14: +1 x_4 <= +0
 c15: +1 x_5 <= +0
 c16: +1 x_6 <= +0
 c17: +1 x_7 <= +0
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
End
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SCIP
Minimize
 Obj: +1 X_0_0 +1 X_0_1 +1 X_1_0 +1 X_1_1
Subject to
 minimum_1_0_0_0: +1 minimum_1_0_0 -1 X_0_0 <= +0
 minimum_1_0_0_1: +1 minimum_1_0_1 -1 X_0_1 <= +0
 minimum_1_0_1_0: +1 minimum_1_1_0 -1 X_1_0 <= +0
 minimum_1_0_1_1: +1 minimum_1_1_1 -1 X_1_1 <= +0
 minimum_1_1_0_0: +1 minimum_1_0_0 -1 z <= +0
 minimum_1_1_0_1: +1 minimum_1_0_1 -1 z <= +0
 minimum_1_1_1_0: +1 minimum_1_1_0 -1 z <= +0
 minimum_1_1_1_1: +1 minimum_1_1_1 -1 z <= +0
 minimum_1_2_0_0: +1 minimum_1_0_0 <= +1
 minimum_1_2_0_1: +1 minimum_1_0_1 <= +1
 minimum_1_2_1_0: +1 minimum_1_1_0 <= +1
 minimum_1_2_1_1: +1 minimum_1_1_1 <= +1
 70_0_0: +1 minimum_1_0_0 >= +0
 70_0_1: +1 minimum_1_0_1 >= +0
 70_1_0: +1 minimum_1_1_0 >= +0
 70_1_1: +1 minimum_1_1_1 >= +0
 74: +1 z = +1
Bounds
 X_0_0 free
 X_0_1 free
 X_1_0 free
 X_1_1 free
 z free
 minimum_1_0_0 free
 minimum_1_0_1 free
 minimum_1_1_0 free
 minimum_1_1_1 free
End