CVXPY
Minimize
  Sum(abs(X) + abs(Y), None, False)
Subject To
Bounds
 0.0 <= X
 0.0 <= Y
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]
CONSTRAINTS
  [linear] <c1>:  -<x_4>[C] <= 0;
  [linear] <c2>:  -<x_5>[C] <= 0;
  [linear] <c3>:  -<x_6>[C] <= 0;
  [linear] <c4>:  -<x_7>[C] <= 0;
  [linear] <c5>:  -<x_0>[C] +<x_4>[C] <= 0;
  [linear] <c6>:  -<x_1>[C] +<x_5>[C] <= 0;
  [linear] <c7>:  -<x_0>[C] -<x_4>[C] <= 0;
  [linear] <c8>:  -<x_1>[C] -<x_5>[C] <= 0;
  [linear] <c9>:  -<x_2>[C] +<x_6>[C] <= 0;
  [linear] <c10>:  -<x_3>[C] +<x_7>[C] <= 0;
  [linear] <c11>:  -<x_2>[C] -<x_6>[C] <= 0;
  [linear] <c12>:  -<x_3>[C] -<x_7>[C] <= 0;
END
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SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <X_0>: obj=0, original bounds=[0,+inf]
  [continuous] <X_1>: obj=0, original bounds=[0,+inf]
  [continuous] <Y_0>: obj=0, original bounds=[0,+inf]
  [continuous] <Y_1>: obj=0, original bounds=[0,+inf]
  [continuous] <x5>: obj=1, original bounds=[-inf,+inf]
CONSTRAINTS
  [nonlinear] <c1>: abs((<X_0>))+abs((<Y_0>))+abs((<X_1>))+abs((<Y_1>))+<x5>*(-1) <= 0;
END