{-# LANGUAGE DeriveGeneric #-}
{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE ImportQualifiedPost #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE UndecidableInstances #-}

module Constrained.Examples.Set where

import GHC.Generics

import Data.Set (Set)
import Data.Set qualified as Set

import Constrained
import Constrained.Examples.Basic

setPairSpec :: Specification BaseFn (Set Int, Set Int)
setPairSpec :: Specification BaseFn (Set Int, Set Int)
setPairSpec = forall a (fn :: [*] -> * -> *) p.
(Cases (SimpleRep a) ~ '[SimpleRep a],
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 HasSpec fn (SimpleRep a), HasSimpleRep a,
 All (HasSpec fn) (Args (SimpleRep a)), IsProd (SimpleRep a),
 HasSpec fn a, IsPred p fn) =>
FunTy (MapList (Term fn) (Args (SimpleRep a))) p
-> Specification fn a
constrained' forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
s Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
s' ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
s forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x ->
    forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
s' forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
y ->
      Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
y

fixedSetSpec :: Specification BaseFn (Set Int)
fixedSetSpec :: Specification BaseFn (Set Int)
fixedSetSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
s ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set Int)
s forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x ->
    [Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. forall a (fn :: [*] -> * -> *). Show a => a -> Term fn a
lit (Int
i :: Int) | Int
i <- [Int
1 .. Int
3]]

setOfPairLetSpec :: Specification BaseFn (Set (Int, Int))
setOfPairLetSpec :: Specification BaseFn (Set (Int, Int))
setOfPairLetSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set (Int, Int))
ps ->
  forall (fn :: [*] -> * -> *) t a p.
(Forallable t a, Cases (SimpleRep a) ~ '[SimpleRep a],
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a), HasSpec fn t,
 HasSpec fn (SimpleRep a), HasSimpleRep a,
 All (HasSpec fn) (Args (SimpleRep a)), IsPred p fn,
 IsProd (SimpleRep a), HasSpec fn a) =>
Term fn t
-> FunTy (MapList (Term fn) (Args (SimpleRep a))) p -> Pred fn
forAll' Term BaseFn (Set (Int, Int))
ps forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
y ->
    Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
y

setSingletonSpec :: Specification BaseFn (Set (Int, Int))
setSingletonSpec :: Specification BaseFn (Set (Int, Int))
setSingletonSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set (Int, Int))
ps ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set (Int, Int))
ps forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Int, Int)
p ->
    forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll (forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, Ord a) =>
Term fn a -> Term fn (Set a)
singleton_ (forall (fn :: [*] -> * -> *) a b.
(HasSpec fn a, HasSpec fn b) =>
Term fn (a, b) -> Term fn a
fst_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Int, Int)
p)) forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x ->
      Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
10

eitherSimpleSetSpec :: Specification BaseFn (Set (Either Int Int))
eitherSimpleSetSpec :: Specification BaseFn (Set (Either Int Int))
eitherSimpleSetSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set (Either Int Int))
ss ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set (Either Int Int))
ss forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
s ->
    (forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, HasSpec fn (SimpleRep a), HasSimpleRep a,
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 SimpleRep a ~ SumOver (Cases (SimpleRep a)),
 TypeList (Cases (SimpleRep a))) =>
Term fn a
-> FunTy
     (MapList (Weighted (Binder fn)) (Cases (SimpleRep a))) (Pred fn)
caseOn Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
s)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
a -> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
a forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
0)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
b -> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
0 forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
b)

forAllAnySpec :: Specification BaseFn (Set Int)
forAllAnySpec :: Specification BaseFn (Set Int)
forAllAnySpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
as ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set Int)
as forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
_ -> Bool
True

maybeJustSetSpec :: Specification BaseFn (Set (Maybe Int))
maybeJustSetSpec :: Specification BaseFn (Set (Maybe Int))
maybeJustSetSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set (Maybe Int))
ms ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set (Maybe Int))
ms forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Maybe Int)
m ->
    (forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, HasSpec fn (SimpleRep a), HasSimpleRep a,
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 SimpleRep a ~ SumOver (Cases (SimpleRep a)),
 TypeList (Cases (SimpleRep a))) =>
Term fn a
-> FunTy
     (MapList (Weighted (Binder fn)) (Cases (SimpleRep a))) (Pred fn)
caseOn Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Maybe Int)
m)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  ()
_ -> Bool
False)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
y -> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
0 forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
y)

notSubsetSpec :: Specification BaseFn (Set Int, Set Int)
notSubsetSpec :: Specification BaseFn (Set Int, Set Int)
notSubsetSpec = forall a (fn :: [*] -> * -> *) p.
(Cases (SimpleRep a) ~ '[SimpleRep a],
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 HasSpec fn (SimpleRep a), HasSimpleRep a,
 All (HasSpec fn) (Args (SimpleRep a)), IsProd (SimpleRep a),
 HasSpec fn a, IsPred p fn) =>
FunTy (MapList (Term fn) (Args (SimpleRep a))) p
-> Specification fn a
constrained' forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
s Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
s' -> forall (fn :: [*] -> * -> *).
BaseUniverse fn =>
Term fn Bool -> Term fn Bool
not_ forall a b. (a -> b) -> a -> b
$ forall (fn :: [*] -> * -> *) a.
(HasSpec fn (Set a), Ord a, Show a, Typeable a) =>
Term fn (Set a) -> Term fn (Set a) -> Term fn Bool
subset_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
s Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
s'

emptyEitherMemberSpec :: Specification BaseFn (Set (Either Int Int))
emptyEitherMemberSpec :: Specification BaseFn (Set (Either Int Int))
emptyEitherMemberSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set (Either Int Int))
s ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set (Either Int Int))
s forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
x ->
    (forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, HasSpec fn (SimpleRep a), HasSimpleRep a,
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 SimpleRep a ~ SumOver (Cases (SimpleRep a)),
 TypeList (Cases (SimpleRep a))) =>
Term fn a
-> FunTy
     (MapList (Weighted (Binder fn)) (Cases (SimpleRep a))) (Pred fn)
caseOn Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
x)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
l -> forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Ord a) =>
Term fn a -> Term fn (Set a) -> Term fn Bool
member_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
l forall a. Monoid a => a
mempty)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
r -> forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Ord a) =>
Term fn a -> Term fn (Set a) -> Term fn Bool
member_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
r forall a. Monoid a => a
mempty)

emptyEitherSpec :: Specification BaseFn (Set (Either Int Int))
emptyEitherSpec :: Specification BaseFn (Set (Either Int Int))
emptyEitherSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set (Either Int Int))
s ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set (Either Int Int))
s forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
x ->
    (forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, HasSpec fn (SimpleRep a), HasSimpleRep a,
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 SimpleRep a ~ SumOver (Cases (SimpleRep a)),
 TypeList (Cases (SimpleRep a))) =>
Term fn a
-> FunTy
     (MapList (Weighted (Binder fn)) (Cases (SimpleRep a))) (Pred fn)
caseOn Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
x)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
_ -> Bool
False)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
_ -> Bool
False)

notSubset :: Specification BaseFn (Set Int)
notSubset :: Specification BaseFn (Set Int)
notSubset = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
s ->
  forall (fn :: [*] -> * -> *).
BaseUniverse fn =>
Term fn Bool -> Term fn Bool
not_ forall a b. (a -> b) -> a -> b
$ Term BaseFn (Set Int)
s forall (fn :: [*] -> * -> *) a.
(HasSpec fn (Set a), Ord a, Show a, Typeable a) =>
Term fn (Set a) -> Term fn (Set a) -> Term fn Bool
`subset_` forall a (fn :: [*] -> * -> *). Show a => a -> Term fn a
lit (forall a. Ord a => [a] -> Set a
Set.fromList [Int
1, Int
2, Int
3])

unionSized :: Specification BaseFn (Set Int)
unionSized :: Specification BaseFn (Set Int)
unionSized = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
s ->
  Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Integer
10 forall (fn :: [*] -> * -> *) a.
HasSpec fn a =>
Term fn a -> Term fn a -> Term fn Bool
==. forall a (fn :: [*] -> * -> *).
(HasSpec fn (Set a), Ord a) =>
Term fn (Set a) -> Term fn Integer
size_ (Term BaseFn (Set Int)
s forall a. Semigroup a => a -> a -> a
<> forall a (fn :: [*] -> * -> *). Show a => a -> Term fn a
lit (forall a. Ord a => [a] -> Set a
Set.fromList [Int
1 .. Int
8]))

maybeSpec :: Specification BaseFn (Set (Maybe Int))
maybeSpec :: Specification BaseFn (Set (Maybe Int))
maybeSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set (Maybe Int))
ms ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set (Maybe Int))
ms forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Maybe Int)
m ->
    (forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, HasSpec fn (SimpleRep a), HasSimpleRep a,
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 SimpleRep a ~ SumOver (Cases (SimpleRep a)),
 TypeList (Cases (SimpleRep a))) =>
Term fn a
-> FunTy
     (MapList (Weighted (Binder fn)) (Cases (SimpleRep a))) (Pred fn)
caseOn Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Maybe Int)
m)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  ()
_ -> Bool
False)
      (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
y -> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
0 forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
y)

eitherSetSpec ::
  Specification BaseFn (Set (Either Int Int), Set (Either Int Int), Set (Either Int Int))
eitherSetSpec :: Specification
  BaseFn
  (Set (Either Int Int), Set (Either Int Int), Set (Either Int Int))
eitherSetSpec = forall a (fn :: [*] -> * -> *) p.
(Cases (SimpleRep a) ~ '[SimpleRep a],
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 HasSpec fn (SimpleRep a), HasSimpleRep a,
 All (HasSpec fn) (Args (SimpleRep a)), IsProd (SimpleRep a),
 HasSpec fn a, IsPred p fn) =>
FunTy (MapList (Term fn) (Args (SimpleRep a))) p
-> Specification fn a
constrained' forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
es Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
as Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
bs ->
  [ forall (fn :: [*] -> * -> *) p.
(BaseUniverse fn, IsPred p fn) =>
p -> Pred fn
assert forall a b. (a -> b) -> a -> b
$ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
es forall (fn :: [*] -> * -> *) a.
HasSpec fn a =>
Term fn a -> Term fn a -> Term fn Bool
==. (Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
as forall a. Semigroup a => a -> a -> a
<> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
bs)
  , forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
as forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
a ->
      (forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, HasSpec fn (SimpleRep a), HasSimpleRep a,
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 SimpleRep a ~ SumOver (Cases (SimpleRep a)),
 TypeList (Cases (SimpleRep a))) =>
Term fn a
-> FunTy
     (MapList (Weighted (Binder fn)) (Cases (SimpleRep a))) (Pred fn)
caseOn Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
a)
        (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
a' -> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
a' forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
0)
        (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
b' -> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
1 forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
b')
  , forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
bs forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
b ->
      (forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, HasSpec fn (SimpleRep a), HasSimpleRep a,
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 SimpleRep a ~ SumOver (Cases (SimpleRep a)),
 TypeList (Cases (SimpleRep a))) =>
Term fn a
-> FunTy
     (MapList (Weighted (Binder fn)) (Cases (SimpleRep a))) (Pred fn)
caseOn Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
b)
        (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
_ -> Bool
False)
        (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
b' -> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
1 forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
b')
  ]

weirdSetPairSpec :: Specification BaseFn ([Int], Set (Either Int Int))
weirdSetPairSpec :: Specification BaseFn ([Int], Set (Either Int Int))
weirdSetPairSpec = forall a (fn :: [*] -> * -> *) p.
(Cases (SimpleRep a) ~ '[SimpleRep a],
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 HasSpec fn (SimpleRep a), HasSimpleRep a,
 All (HasSpec fn) (Args (SimpleRep a)), IsProd (SimpleRep a),
 HasSpec fn a, IsPred p fn) =>
FunTy (MapList (Term fn) (Args (SimpleRep a))) p
-> Specification fn a
constrained' forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  [Int]
as Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
as' ->
  [ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
as' forall (fn :: [*] -> * -> *) a b.
(HasSpec fn a, HasSpec fn b) =>
Term fn a -> Term fn b -> Pred fn
`dependsOn` Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  [Int]
as
  , forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  [Int]
as forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
a ->
      forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Ord a) =>
Term fn a -> Term fn (Set a) -> Term fn Bool
member_ (forall (fn :: [*] -> * -> *) a b.
(HasSpec fn a, HasSpec fn b, IsNormalType a, IsNormalType b) =>
Term fn a -> Term fn (Either a b)
left_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
a) Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
as'
  , forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set (Either Int Int))
as' forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
a' ->
      (forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, HasSpec fn (SimpleRep a), HasSimpleRep a,
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 SimpleRep a ~ SumOver (Cases (SimpleRep a)),
 TypeList (Cases (SimpleRep a))) =>
Term fn a
-> FunTy
     (MapList (Weighted (Binder fn)) (Cases (SimpleRep a))) (Pred fn)
caseOn Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
a')
        (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x -> forall a (fn :: [*] -> * -> *).
HasSpec fn a =>
Term fn a -> Term fn [a] -> Term fn Bool
elem_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  [Int]
as)
        (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
_ -> Bool
False)
  ]

setPair :: Specification BaseFn (Set (Int, Int))
setPair :: Specification BaseFn (Set (Int, Int))
setPair = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set (Int, Int))
s ->
  [ forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set (Int, Int))
s forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Int, Int)
p ->
      Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Int, Int)
p forall (fn :: [*] -> * -> *) a.
HasSpec fn a =>
Term fn a -> Specification fn a -> Pred fn
`satisfies` Specification BaseFn (Int, Int)
leqPair
  , forall (fn :: [*] -> * -> *) p.
(BaseUniverse fn, IsPred p fn) =>
p -> Pred fn
assert forall a b. (a -> b) -> a -> b
$ forall a (fn :: [*] -> * -> *). Show a => a -> Term fn a
lit (Int
0, Int
1) forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Ord a) =>
Term fn a -> Term fn (Set a) -> Term fn Bool
`member_` Term BaseFn (Set (Int, Int))
s
  ]

setSpec :: Specification BaseFn (Set Int)
setSpec :: Specification BaseFn (Set Int)
setSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
ss ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set Int)
ss forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
s ->
    Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
s forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
10

compositionalSpec :: Specification BaseFn (Set Int)
compositionalSpec :: Specification BaseFn (Set Int)
compositionalSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
x ->
  [ forall (fn :: [*] -> * -> *) a.
HasSpec fn a =>
Term fn a -> Specification fn a -> Pred fn
satisfies Term BaseFn (Set Int)
x Specification BaseFn (Set Int)
setSpec
  , forall (fn :: [*] -> * -> *) p.
(BaseUniverse fn, IsPred p fn) =>
p -> Pred fn
assert forall a b. (a -> b) -> a -> b
$ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
0 forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Ord a) =>
Term fn a -> Term fn (Set a) -> Term fn Bool
`member_` Term BaseFn (Set Int)
x
  ]

emptySetSpec :: Specification BaseFn (Set Int)
emptySetSpec :: Specification BaseFn (Set Int)
emptySetSpec = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
s ->
  forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term BaseFn (Set Int)
s forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x -> forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Ord a) =>
Term fn a -> Term fn (Set a) -> Term fn Bool
member_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
x forall a. Monoid a => a
mempty

setSubSize :: Specification BaseFn (Set Int)
setSubSize :: Specification BaseFn (Set Int)
setSubSize = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
s ->
  Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Integer
2 forall (fn :: [*] -> * -> *) a.
HasSpec fn a =>
Term fn a -> Term fn a -> Term fn Bool
==. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Integer
12 forall a. Num a => a -> a -> a
- (forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Sized fn a) =>
Term fn a -> Term fn Integer
sizeOf_ Term BaseFn (Set Int)
s)

newtype NotASet a = NotASet (Set a)
  deriving (forall a.
(forall x. a -> Rep a x) -> (forall x. Rep a x -> a) -> Generic a
forall a x. Rep (NotASet a) x -> NotASet a
forall a x. NotASet a -> Rep (NotASet a) x
$cto :: forall a x. Rep (NotASet a) x -> NotASet a
$cfrom :: forall a x. NotASet a -> Rep (NotASet a) x
Generic, Int -> NotASet a -> ShowS
forall a. Show a => Int -> NotASet a -> ShowS
forall a. Show a => [NotASet a] -> ShowS
forall a. Show a => NotASet a -> String
forall a.
(Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
showList :: [NotASet a] -> ShowS
$cshowList :: forall a. Show a => [NotASet a] -> ShowS
show :: NotASet a -> String
$cshow :: forall a. Show a => NotASet a -> String
showsPrec :: Int -> NotASet a -> ShowS
$cshowsPrec :: forall a. Show a => Int -> NotASet a -> ShowS
Show, NotASet a -> NotASet a -> Bool
forall a. Eq a => NotASet a -> NotASet a -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: NotASet a -> NotASet a -> Bool
$c/= :: forall a. Eq a => NotASet a -> NotASet a -> Bool
== :: NotASet a -> NotASet a -> Bool
$c== :: forall a. Eq a => NotASet a -> NotASet a -> Bool
Eq)
instance Ord a => HasSimpleRep (NotASet a) where
  type SimpleRep (NotASet a) = [a]
  fromSimpleRep :: SimpleRep (NotASet a) -> NotASet a
fromSimpleRep = forall a. Set a -> NotASet a
NotASet forall b c a. (b -> c) -> (a -> b) -> a -> c
. forall a. Ord a => [a] -> Set a
Set.fromList
  toSimpleRep :: NotASet a -> SimpleRep (NotASet a)
toSimpleRep (NotASet Set a
s) = forall a. Set a -> [a]
Set.toList Set a
s
instance (Ord a, HasSpec fn a) => HasSpec fn (NotASet a)
instance Ord a => Forallable (NotASet a) a

emptyListSpec :: Specification BaseFn ([Int], NotASet (Either Int Int, Int))
emptyListSpec :: Specification BaseFn ([Int], NotASet (Either Int Int, Int))
emptyListSpec = forall a (fn :: [*] -> * -> *) p.
(Cases (SimpleRep a) ~ '[SimpleRep a],
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 HasSpec fn (SimpleRep a), HasSimpleRep a,
 All (HasSpec fn) (Args (SimpleRep a)), IsProd (SimpleRep a),
 HasSpec fn a, IsPred p fn) =>
FunTy (MapList (Term fn) (Args (SimpleRep a))) p
-> Specification fn a
constrained' forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  [Int]
is Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (NotASet (Either Int Int, Int))
ls ->
  [ forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  [Int]
is forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
i -> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
i forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
0
  , forall (fn :: [*] -> * -> *) t a p.
(Forallable t a, Cases (SimpleRep a) ~ '[SimpleRep a],
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a), HasSpec fn t,
 HasSpec fn (SimpleRep a), HasSimpleRep a,
 All (HasSpec fn) (Args (SimpleRep a)), IsPred p fn,
 IsProd (SimpleRep a), HasSpec fn a) =>
Term fn t
-> FunTy (MapList (Term fn) (Args (SimpleRep a))) p -> Pred fn
forAll' Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (NotASet (Either Int Int, Int))
ls forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
l Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
_ ->
      forall (fn :: [*] -> * -> *) a.
(HasSpec fn a, HasSpec fn (SimpleRep a), HasSimpleRep a,
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 SimpleRep a ~ SumOver (Cases (SimpleRep a)),
 TypeList (Cases (SimpleRep a))) =>
Term fn a
-> FunTy
     (MapList (Weighted (Binder fn)) (Cases (SimpleRep a))) (Pred fn)
caseOn Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Either Int Int)
l (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
_ -> Bool
False) (forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, All (HasSpec fn) (Args a), IsPred p fn, IsProd a) =>
FunTy (MapList (Term fn) (Args a)) p -> Weighted (Binder fn) a
branch forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
_ -> Bool
False)
  ]

foldSingleCase :: Specification BaseFn Int
foldSingleCase :: Specification BaseFn Int
foldSingleCase = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn Int
x ->
  [ forall (fn :: [*] -> * -> *) p.
(BaseUniverse fn, IsPred p fn) =>
p -> Pred fn
assert forall a b. (a -> b) -> a -> b
$ forall (fn :: [*] -> * -> *).
BaseUniverse fn =>
Term fn Bool -> Term fn Bool
not_ forall a b. (a -> b) -> a -> b
$ forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Ord a) =>
Term fn a -> Term fn (Set a) -> Term fn Bool
member_ Term BaseFn Int
x (forall a (fn :: [*] -> * -> *). Show a => a -> Term fn a
lit (forall a. Ord a => [a] -> Set a
Set.fromList [Int
10]))
  , forall (fn :: [*] -> * -> *) a p.
(HasSpec fn a, IsPred p fn) =>
Term fn a -> (Term fn a -> p) -> Pred fn
letBind (forall (fn :: [*] -> * -> *) a b.
(HasSpec fn a, HasSpec fn b) =>
Term fn a -> Term fn b -> Term fn (a, b)
pair_ Term BaseFn Int
x forall a b. (a -> b) -> a -> b
$ forall a (fn :: [*] -> * -> *). Show a => a -> Term fn a
lit [(Int
10, Int
20) :: (Int, Int)]) forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Int, [(Int, Int)])
p ->
      forall (fn :: [*] -> * -> *) p a.
(HasSpec fn a, IsProductType fn a, IsPred p fn) =>
Term fn a
-> FunTy (MapList (Term fn) (ProductAsList a)) p -> Pred fn
match Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Int, [(Int, Int)])
p forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  [(Int, Int)]
p1 -> forall t a (fn :: [*] -> * -> *) p.
(Forallable t a, HasSpec fn t, HasSpec fn a, IsPred p fn) =>
Term fn t -> (Term fn a -> p) -> Pred fn
forAll Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  [(Int, Int)]
p1 forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Int, Int)
p2 ->
        forall (fn :: [*] -> * -> *) p.
(BaseUniverse fn, IsPred p fn) =>
p -> Pred fn
assert (Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Int
0 forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. forall (fn :: [*] -> * -> *) a b.
(HasSpec fn a, HasSpec fn b) =>
Term fn (a, b) -> Term fn b
snd_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Int, Int)
p2)
  ]

complexUnion :: Specification BaseFn (Set Int, Set Int)
complexUnion :: Specification BaseFn (Set Int, Set Int)
complexUnion = forall a (fn :: [*] -> * -> *) p.
(Cases (SimpleRep a) ~ '[SimpleRep a],
 TypeSpec fn a ~ TypeSpec fn (SimpleRep a),
 HasSpec fn (SimpleRep a), HasSimpleRep a,
 All (HasSpec fn) (Args (SimpleRep a)), IsProd (SimpleRep a),
 HasSpec fn a, IsPred p fn) =>
FunTy (MapList (Term fn) (Args (SimpleRep a))) p
-> Specification fn a
constrained' forall a b. (a -> b) -> a -> b
$ \Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
ys Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
zs ->
  [ forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Sized fn a) =>
Term fn a -> Term fn Integer
sizeOf_ Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
ys forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Integer
10
  , Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Integer
0 forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<. forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Sized fn a) =>
Term fn a -> Term fn Integer
sizeOf_ (Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
ys forall a. Semigroup a => a -> a -> a
<> Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  (Set Int)
zs)
  ]

unionBounded :: Specification BaseFn (Set Int)
unionBounded :: Specification BaseFn (Set Int)
unionBounded = forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
xs ->
  [ forall a (fn :: [*] -> * -> *).
(HasSpec fn a, Sized fn a) =>
Term fn a -> Term fn Integer
sizeOf_ (Term BaseFn (Set Int)
xs forall a. Semigroup a => a -> a -> a
<> forall a (fn :: [*] -> * -> *). Show a => a -> Term fn a
lit (forall a. Ord a => [a] -> Set a
Set.fromList [Int
1, Int
2, Int
3])) forall a (fn :: [*] -> * -> *).
(Ord a, OrdLike fn a) =>
Term fn a -> Term fn a -> Term fn Bool
<=. Term
  (Fix
     (Oneof
        (Oneof
           (Oneof MapFn (Oneof PairFn ListFn))
           (Oneof FunFn (Oneof SetFn OrdFn)))
        (Oneof
           (Oneof SumFn (Oneof BoolFn GenericsFn))
           (Oneof SizeFn (Oneof EqFn IntFn)))))
  Integer
3
  ]

-- Only possible value is {4}
powersetPickOne :: Specification BaseFn (Set Int)
powersetPickOne :: Specification BaseFn (Set Int)
powersetPickOne =
  forall a (fn :: [*] -> * -> *) p.
(IsPred p fn, HasSpec fn a) =>
(Term fn a -> p) -> Specification fn a
constrained forall a b. (a -> b) -> a -> b
$ \Term BaseFn (Set Int)
xs ->
    [ Term BaseFn (Set Int)
xs forall (fn :: [*] -> * -> *) a.
(HasSpec fn (Set a), Ord a, Show a, Typeable a) =>
Term fn (Set a) -> Term fn (Set a) -> Term fn Bool
`subset_` forall a (fn :: [*] -> * -> *). Show a => a -> Term fn a
lit (forall a. Ord a => [a] -> Set a
Set.fromList [Int
3, Int
4])
    , forall (fn :: [*] -> * -> *).
BaseUniverse fn =>
Term fn Bool -> Term fn Bool
not_ forall a b. (a -> b) -> a -> b
$ Term BaseFn (Set Int)
xs forall a (fn :: [*] -> * -> *).
HasSpec fn a =>
Term fn a -> Term fn [a] -> Term fn Bool
`elem_` forall a (fn :: [*] -> * -> *). Show a => a -> Term fn a
lit [forall a. Monoid a => a
mempty, forall a. Ord a => [a] -> Set a
Set.fromList [Int
3], forall a. Ord a => [a] -> Set a
Set.fromList [Int
3, Int
4]]
    ]