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import Plausible.Chamelean.DecOpt
import Plausible.Chamelean.DeriveChecker
import Test.DeriveDecOpt.DeriveBSTChecker
import Test.DeriveArbitrarySuchThat.DeriveBalancedTreeGenerator
open DecOpt
set_option guard_msgs.diff true
/--
info: Try this checker: instance : DecOpt (balancedTree n_1 t_1) where
decOpt :=
let rec aux_dec (initSize : Nat) (size : Nat) (n_1 : Nat) (t_1 : BinaryTree) : Option Bool :=
match size with
| Nat.zero =>
DecOpt.checkerBacktrack
[fun _ =>
match t_1 with
| BinaryTree.Leaf =>
match n_1 with
| Nat.zero => Option.some Bool.true
| _ => Option.some Bool.false
| _ => Option.some Bool.false,
fun _ =>
match t_1 with
| BinaryTree.Leaf =>
match n_1 with
| Nat.succ (Nat.zero) => Option.some Bool.true
| _ => Option.some Bool.false
| _ => Option.some Bool.false]
| Nat.succ size' =>
DecOpt.checkerBacktrack
[fun _ =>
match t_1 with
| BinaryTree.Leaf =>
match n_1 with
| Nat.zero => Option.some Bool.true
| _ => Option.some Bool.false
| _ => Option.some Bool.false,
fun _ =>
match t_1 with
| BinaryTree.Leaf =>
match n_1 with
| Nat.succ (Nat.zero) => Option.some Bool.true
| _ => Option.some Bool.false
| _ => Option.some Bool.false,
fun _ =>
match t_1 with
| BinaryTree.Node x l r =>
match n_1 with
| Nat.succ n => DecOpt.andOptList [aux_dec initSize size' n l, aux_dec initSize size' n r]
| _ => Option.some Bool.false
| _ => Option.some Bool.false]
fun size => aux_dec size size n_1 t_1
-/
#guard_msgs(info, drop warning) in
#derive_checker (balancedTree n t)