CVXPY
Maximize
  min(X, None, False)
Subject To
 7: X <= 1.0
Bounds
 X 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=0, original bounds=[-inf,+inf]
  [continuous] <x_2>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <c1>:  -<x_0>[C] -<x_1>[C] <= 0;
  [linear] <c2>:  -<x_0>[C] -<x_2>[C] <= 0;
  [linear] <c3>: <x_1>[C] <= 1;
  [linear] <c4>: <x_2>[C] <= 1;
END
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SCIP
OBJECTIVE
  Sense            : maximize
VARIABLES
  [continuous] <X_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <X_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <min_1>: obj=1, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <min_1_0>: <X_0>[C] -<min_1>[C] >= 0;
  [linear] <min_1_1>: <X_1>[C] -<min_1>[C] >= 0;
  [linear] <7_0>: <X_0>[C] <= 1;
  [linear] <7_1>: <X_1>[C] <= 1;
END