CVXPY
Minimize
  Sum(X, None, False)
Subject To
 38: -Y <= minimum(X, [[1.00 -2.00]
 [3.00 4.00]])
 43: Y == 2.0
Bounds
 X free
 Y free
End
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AFTER COMPILATION
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x_0>: obj=1, original bounds=[-inf,+inf]
  [continuous] <x_1>: obj=1, original bounds=[-inf,+inf]
  [continuous] <x_2>: obj=1, original bounds=[-inf,+inf]
  [continuous] <x_3>: obj=1, original bounds=[-inf,+inf]
  [continuous] <x_4>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_5>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_6>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_7>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_8>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_9>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_10>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_11>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <c1>: <x_8>[C] == 2;
  [linear] <c2>: <x_9>[C] == 2;
  [linear] <c3>: <x_10>[C] == 2;
  [linear] <c4>: <x_11>[C] == 2;
  [linear] <c5>:  -<x_0>[C] -<x_4>[C] <= 0;
  [linear] <c6>:  -<x_1>[C] -<x_5>[C] <= 0;
  [linear] <c7>:  -<x_2>[C] -<x_6>[C] <= 0;
  [linear] <c8>:  -<x_3>[C] -<x_7>[C] <= 0;
  [linear] <c9>:  -<x_4>[C] <= 1;
  [linear] <c10>:  -<x_5>[C] <= 3;
  [linear] <c11>:  -<x_6>[C] <= -2;
  [linear] <c12>:  -<x_7>[C] <= 4;
  [linear] <c13>: <x_4>[C] -<x_8>[C] <= 0;
  [linear] <c14>: <x_5>[C] -<x_9>[C] <= 0;
  [linear] <c15>: <x_6>[C] -<x_10>[C] <= 0;
  [linear] <c16>: <x_7>[C] -<x_11>[C] <= 0;
END
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SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <X_0_0>: obj=1, original bounds=[-inf,+inf]
  [continuous] <X_0_1>: obj=1, original bounds=[-inf,+inf]
  [continuous] <X_1_0>: obj=1, original bounds=[-inf,+inf]
  [continuous] <X_1_1>: obj=1, original bounds=[-inf,+inf]
  [continuous] <Y_0_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <Y_0_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <Y_1_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <Y_1_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <minimum_1_0_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <minimum_1_0_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <minimum_1_1_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <minimum_1_1_1>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <minimum_1_0_0_0>: <minimum_1_0_0>[C] -<X_0_0>[C] <= 0;
  [linear] <minimum_1_0_0_1>: <minimum_1_0_1>[C] -<X_0_1>[C] <= 0;
  [linear] <minimum_1_0_1_0>: <minimum_1_1_0>[C] -<X_1_0>[C] <= 0;
  [linear] <minimum_1_0_1_1>: <minimum_1_1_1>[C] -<X_1_1>[C] <= 0;
  [linear] <minimum_1_1_0_0>: <minimum_1_0_0>[C] <= 1;
  [linear] <minimum_1_1_0_1>: <minimum_1_0_1>[C] <= -2;
  [linear] <minimum_1_1_1_0>: <minimum_1_1_0>[C] <= 3;
  [linear] <minimum_1_1_1_1>: <minimum_1_1_1>[C] <= 4;
  [linear] <38_0_0>: <minimum_1_0_0>[C] +<Y_0_0>[C] >= 0;
  [linear] <38_0_1>: <minimum_1_0_1>[C] +<Y_0_1>[C] >= 0;
  [linear] <38_1_0>: <minimum_1_1_0>[C] +<Y_1_0>[C] >= 0;
  [linear] <38_1_1>: <minimum_1_1_1>[C] +<Y_1_1>[C] >= 0;
  [linear] <43_0_0>: <Y_0_0>[C] == 2;
  [linear] <43_0_1>: <Y_0_1>[C] == 2;
  [linear] <43_1_0>: <Y_1_0>[C] == 2;
  [linear] <43_1_1>: <Y_1_1>[C] == 2;
END