CVXPY
Minimize
  PnormApprox(x, 2) + PnormApprox(-1.0, 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] <soc_t_0>: obj=0, original bounds=[0,+inf]
  [continuous] <soc_t_1>: 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;
  [nonlinear] <c3>: <soc_t_1>*<soc_t_1>-<soc_t_0>*<soc_t_0> <= 0;
END
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SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x2>: obj=1, original bounds=[-inf,+inf]
CONSTRAINTS
  [nonlinear] <c1>: ((<x>*<x>))^0.5+<x2>*(-1)+1 <= 0;
END