CVXPY
Minimize
  Sum(X, None, False)
Subject To
 52: -1.0 <= minimum(X + [ 2. -1.], [ 2. -1.])
Bounds
 X free
End
----------------------------------------
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=0, original bounds=[-inf,+inf]
  [continuous] <x_3>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <c1>:  -<x_0>[C] -<x_2>[C] <= 2;
  [linear] <c2>:  -<x_1>[C] -<x_3>[C] <= -1;
  [linear] <c3>:  -<x_2>[C] <= 2;
  [linear] <c4>:  -<x_3>[C] <= -1;
  [linear] <c5>: <x_2>[C] <= 1;
  [linear] <c6>: <x_3>[C] <= 1;
END
----------------------------------------
SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <X_0>: obj=1, original bounds=[-inf,+inf]
  [continuous] <X_1>: obj=1, original bounds=[-inf,+inf]
  [continuous] <minimum_1_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <minimum_1_1>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <minimum_1_0_0>: <minimum_1_0>[C] -<X_0>[C] <= 2;
  [linear] <minimum_1_0_1>: <minimum_1_1>[C] -<X_1>[C] <= -1;
  [linear] <minimum_1_1_0>: <minimum_1_0>[C] <= 2;
  [linear] <minimum_1_1_1>: <minimum_1_1>[C] <= -1;
  [linear] <52_0>: <minimum_1_0>[C] >= -1;
  [linear] <52_1>: <minimum_1_1>[C] >= -1;
END