CVXPY
Minimize
  PnormApprox(x + -[ 1.00005 -0.99995], 2)
Subject To
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]
  [continuous] <soc_t_0>: obj=0, original bounds=[0,+inf]
  [continuous] <soc_t_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_2>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <c1>: <soc_t_0>[C] -<x_0>[C] == 0;
  [linear] <c2>: <soc_t_1>[C] -<x_1>[C] == -1.00005;
  [linear] <c3>: <soc_t_2>[C] -<x_2>[C] == 0.99995;
  [nonlinear] <c4>: <soc_t_1>*<soc_t_1>+<soc_t_2>*<soc_t_2>-<soc_t_0>*<soc_t_0> <= 0;
END
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SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x3>: obj=1, original bounds=[-inf,+inf]
CONSTRAINTS
  [nonlinear] <c1>: ((<x_0>*<x_0>+<x_0>*(-2.0001)+<x_1>*<x_1>+<x_1>*1.9999+2.000000005))^0.5+<x3>*(-1) <= 0;
END