CVXPY
Minimize
  Sum(abs(X) + abs(Y), None, False)
Subject To
Bounds
 0.0 <= X
 0.0 <= Y
End
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AFTER COMPILATION
Minimize
 Obj: +1 x_0 +1 x_1 +1 x_2 +1 x_3 +1 x_4 +1 x_5 +1 x_6 +1 x_7
Subject to
 c1: -1 x_8 <= +0
 c2: -1 x_9 <= +0
 c3: -1 x_10 <= +0
 c4: -1 x_11 <= +0
 c5: -1 x_12 <= +0
 c6: -1 x_13 <= +0
 c7: -1 x_14 <= +0
 c8: -1 x_15 <= +0
 c9: -1 x_0 +1 x_8 <= +0
 c10: -1 x_1 +1 x_9 <= +0
 c11: -1 x_2 +1 x_10 <= +0
 c12: -1 x_3 +1 x_11 <= +0
 c13: -1 x_0 -1 x_8 <= +0
 c14: -1 x_1 -1 x_9 <= +0
 c15: -1 x_2 -1 x_10 <= +0
 c16: -1 x_3 -1 x_11 <= +0
 c17: -1 x_4 +1 x_12 <= +0
 c18: -1 x_5 +1 x_13 <= +0
 c19: -1 x_6 +1 x_14 <= +0
 c20: -1 x_7 +1 x_15 <= +0
 c21: -1 x_4 -1 x_12 <= +0
 c22: -1 x_5 -1 x_13 <= +0
 c23: -1 x_6 -1 x_14 <= +0
 c24: -1 x_7 -1 x_15 <= +0
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 free
 x_5 free
 x_6 free
 x_7 free
 x_8 free
 x_9 free
 x_10 free
 x_11 free
 x_12 free
 x_13 free
 x_14 free
 x_15 free
End
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SCIP
Minimize
 Obj: +1 x9
Subject to
\   [nonlinear] <c1>: abs((<X_0_0>))+abs((<Y_0_0>))+abs((<X_0_1>))+abs((<Y_0_1>))+abs((<X_1_0>))+abs((<Y_1_0>))+abs((<X_1_1>))+abs((<Y_1_1>))+<x9>*(-1) <= 0;
Bounds
 x9 free
End