CVXPY
Minimize
  PnormApprox(X, 2)
Subject To
Bounds
 X free
End
----------------------------------------
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] <x_3>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_4>: 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]
  [continuous] <soc_t_3>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_4>: 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] == 0;
  [linear] <c3>: <soc_t_2>[C] -<x_2>[C] == 0;
  [linear] <c4>: <soc_t_3>[C] -<x_3>[C] == 0;
  [linear] <c5>: <soc_t_4>[C] -<x_4>[C] == 0;
  [nonlinear] <c6>: <soc_t_1>*<soc_t_1>+<soc_t_2>*<soc_t_2>+<soc_t_3>*<soc_t_3>+<soc_t_4>*<soc_t_4>-<soc_t_0>*<soc_t_0> <= 0;
END
----------------------------------------
SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <X_0_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <X_0_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <X_1_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <X_1_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x5>: obj=1, original bounds=[-inf,+inf]
CONSTRAINTS
  [nonlinear] <c1>: ((<X_0_0>*<X_0_0>+<X_0_1>*<X_0_1>+<X_1_0>*<X_1_0>+<X_1_1>*<X_1_1>))^0.5+<x5>*(-1) <= 0;
END