CVXPY
Minimize
  Sum(x, None, False)
Subject To
 56: 0.0 <= x + y + Promote(1.0, (2,))
 61: y == 0.0
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=0, original bounds=[-inf,+inf]
  [continuous] <x_3>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <c1>: <x_2>[C] == 0;
  [linear] <c2>: <x_3>[C] == 0;
  [linear] <c3>:  -<x_0>[C] -<x_2>[C] <= 1;
  [linear] <c4>:  -<x_1>[C] -<x_3>[C] <= 1;
END
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SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x_0>: obj=1, original bounds=[-inf,+inf]
  [continuous] <x_1>: obj=1, original bounds=[-inf,+inf]
  [continuous] <y_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <y_1>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <56_0>: <x_0>[C] +<y_0>[C] >= -1;
  [linear] <56_1>: <x_1>[C] +<y_1>[C] >= -1;
  [linear] <61_0>: <y_0>[C] == 0;
  [linear] <61_1>: <y_1>[C] == 0;
END