CVXPY
Minimize
  Sum(x, None, False)
Subject To
 76: [[0.00 1.00]
 [2.00 3.00]] @ x + y == 1.0
 81: y == 0.0
Bounds
 x free
 y free
End
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AFTER COMPILATION
Minimize
 Obj: +1 x_0 +1 x_1
Subject to
 c1: +1 x_1 +1 x_2 = +1
 c2: +2 x_0 +3 x_1 +1 x_3 = +1
 c3: +1 x_2 = +0
 c4: +1 x_3 = +0
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
End
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SCIP
Minimize
 Obj: +1 x_0 +1 x_1
Subject to
 76_0: +1 x_1 +1 y_0 = +1
 76_1: +2 x_0 +3 x_1 +1 y_1 = +1
 81_0: +1 y_0 = +0
 81_1: +1 y_1 = +0
Bounds
 x_0 free
 x_1 free
 y_0 free
 y_1 free
End