CVXPY
Minimize
  Sum(X, None, False)
Subject To
 63: -2.0 <= minimum(X + [[1.00 -2.00]
 [3.00 4.00]], [[1.00 -2.00]
 [3.00 4.00]])
Bounds
 X 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_0 -1 x_4 <= +1
 c2: -1 x_1 -1 x_5 <= +3
 c3: -1 x_2 -1 x_6 <= -2
 c4: -1 x_3 -1 x_7 <= +4
 c5: -1 x_4 <= +1
 c6: -1 x_5 <= +3
 c7: -1 x_6 <= -2
 c8: -1 x_7 <= +4
 c9: +1 x_4 <= +2
 c10: +1 x_5 <= +2
 c11: +1 x_6 <= +2
 c12: +1 x_7 <= +2
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
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 <= +1
 minimum_1_0_0_1: +1 minimum_1_0_1 -1 X_0_1 <= -2
 minimum_1_0_1_0: +1 minimum_1_1_0 -1 X_1_0 <= +3
 minimum_1_0_1_1: +1 minimum_1_1_1 -1 X_1_1 <= +4
 minimum_1_1_0_0: +1 minimum_1_0_0 <= +1
 minimum_1_1_0_1: +1 minimum_1_0_1 <= -2
 minimum_1_1_1_0: +1 minimum_1_1_0 <= +3
 minimum_1_1_1_1: +1 minimum_1_1_1 <= +4
 63_0_0: +1 minimum_1_0_0 >= -2
 63_0_1: +1 minimum_1_0_1 >= -2
 63_1_0: +1 minimum_1_1_0 >= -2
 63_1_1: +1 minimum_1_1_1 >= -2
Bounds
 X_0_0 free
 X_0_1 free
 X_1_0 free
 X_1_1 free
 minimum_1_0_0 free
 minimum_1_0_1 free
 minimum_1_1_0 free
 minimum_1_1_1 free
End