[ Task
    { taskDirectness = Direct
    , taskHypotheses = []
    , taskConjectureLabel = Marker "formula_test_forall"
    , taskConjecture = Quantified Universally
        ( Scope
            ( Connected Conjunction
                ( TermSymbol
                    ( SymbolPredicate
                        ( PredicateRelation
                            ( Symbol "=" )
                        )
                    )
                    [ TermVar
                        ( B
                            ( NamedVar "x" )
                        )
                    , TermVar
                        ( B
                            ( NamedVar "x" )
                        )
                    ]
                )
                ( TermSymbol
                    ( SymbolPredicate
                        ( PredicateRelation
                            ( Symbol "=" )
                        )
                    )
                    [ TermVar
                        ( B
                            ( NamedVar "y" )
                        )
                    , TermVar
                        ( B
                            ( NamedVar "y" )
                        )
                    ]
                )
            )
        )
    }
, Task
    { taskDirectness = Direct
    , taskHypotheses =
        [
            ( Marker "formula_test_forall"
            , Quantified Universally
                ( Scope
                    ( Connected Conjunction
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Symbol "=" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            , TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            ]
                        )
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Symbol "=" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "y" )
                                )
                            , TermVar
                                ( B
                                    ( NamedVar "y" )
                                )
                            ]
                        )
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "formula_test_exists"
    , taskConjecture = Quantified Existentially
        ( Scope
            ( TermSymbol
                ( SymbolPredicate
                    ( PredicateRelation
                        ( Symbol "=" )
                    )
                )
                [ TermVar
                    ( B
                        ( NamedVar "x" )
                    )
                , TermVar
                    ( B
                        ( NamedVar "y" )
                    )
                ]
            )
        )
    }
]