CVXPY
Minimize
  norm1(x + -[ 1.00005 -0.99995])
Subject To
Bounds
 x free
End
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AFTER COMPILATION
Minimize
 Obj: +1 x_0 +1 x_1
Subject to
 c1: -1 x_0 +1 x_2 <= +1.00005
 c2: -1 x_1 +1 x_3 <= -0.99995
 c3: -1 x_0 -1 x_2 <= -1.00005
 c4: -1 x_1 -1 x_3 <= +0.99995
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
End
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SCIP
Minimize
 Obj: +1 x3
Subject to
\   [nonlinear] <c1>: abs((<x_0>+(-1.00005)))+abs((<x_1>+0.99995))+<x3>*(-1) <= 0;
Bounds
 x_0 free
 x_1 free
 x3 free
End