CVXPY
Minimize
  norm_inf(x + -[ 1.00005 -0.99995])
Subject To
Bounds
 x free
End
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AFTER COMPILATION
Minimize
 Obj: +1 x_0
Subject to
 c1: -1 x_0 +1 x_1 <= +1.00005
 c2: -1 x_0 +1 x_2 <= -0.99995
 c3: -1 x_0 -1 x_1 <= -1.00005
 c4: -1 x_0 -1 x_2 <= +0.99995
Bounds
 x_0 free
 x_1 free
 x_2 free
End
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SCIP
Minimize
 Obj: +1 norminf_1
Subject to
\   [nonlinear] <norminf_1_0>: abs((<x_0>+(-1.00005)))+<norminf_1>*(-1) <= 0;
\   [nonlinear] <norminf_1_1>: abs((<x_1>+0.99995))+<norminf_1>*(-1) <= 0;
Bounds
 x_0 free
 x_1 free
End