CVXPY
Minimize
  x
Subject To
 23: minimum(1.0, 2.0) <= 1.0
 27: 0.0 <= x
Bounds
 x free
End
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AFTER COMPILATION
Minimize
  C0
Subject To
 R0: <= 0
 R1: - C0 <= 0
Bounds
 C0 free
End
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GUROBI
Minimize
  x[0]
Subject To
 23: minimum_1 <= 1
 27[0]: x[0] >= 0
Bounds
 x[0] free
 minimum_1 free
General Constraints
 GC0: minimum_1 = MIN ( 1 )
End