CVXPY
Minimize
  x + y
Subject To
 18: 1.0 <= minimum(x, y, 3.0)
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_0 -1 x_2 <= +0
 c2: -1 x_1 -1 x_2 <= +0
 c3: -1 x_2 <= +3
 c4: +1 x_2 <= -1
Bounds
 x_0 free
 x_1 free
 x_2 free
End
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SCIP
Minimize
 Obj: +1 x_0 +1 y
Subject to
 minimum_1_0_0: +1 minimum_1_0 -1 x_0 <= +0
 minimum_1_1_0: +1 minimum_1_0 -1 y <= +0
 minimum_1_2_0: +1 minimum_1_0 <= +3
 18_0: +1 minimum_1_0 >= +1
Bounds
 x_0 free
 y free
 minimum_1_0 free
End