[ Task
    { taskDirectness = Indirect
        ( Not
            ( Quantified Existentially
                ( Scope
                    ( Connected Conjunction ( PropositionalConstant IsTop )
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateAdj
                                    [ Just
                                        ( Word "universal" )
                                    ]
                                )
                            )
                            [ TermVar
                                ( B
                                    ( FreshVar 0 )
                                )
                            ]
                        )
                    )
                )
            )
        )
    , taskHypotheses =
        [
            ( Marker "universal_set"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateAdj
                                    [ Just
                                        ( Word "universal" )
                                    ]
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "V" )
                                )
                            ]
                        )
                        ( Quantified Universally
                            ( Scope
                                ( Quantified Universally
                                    ( Scope
                                        ( TermSymbol
                                            ( SymbolPredicate
                                                ( PredicateRelation
                                                    ( Command "in" )
                                                )
                                            )
                                            [ TermVar
                                                ( B
                                                    ( NamedVar "x" )
                                                )
                                            , TermVar
                                                ( F
                                                    ( TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( B
                                                                    ( NamedVar "V" )
                                                                )
                                                            )
                                                        )
                                                    )
                                                )
                                            ]
                                        )
                                    )
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "no_universal_set1"
            , Not
                ( Not
                    ( Quantified Existentially
                        ( Scope
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateAdj
                                        [ Just
                                            ( Word "universal" )
                                        ]
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( FreshVar 0 )
                                    )
                                ]
                            )
                        )
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "no_universal_set"
    , taskConjecture = Quantified Existentially
        ( Scope
            ( TermSymbol
                ( SymbolPredicate
                    ( PredicateAdj
                        [ Just
                            ( Word "universal" )
                        ]
                    )
                )
                [ TermVar
                    ( B
                        ( NamedVar "V" )
                    )
                ]
            )
        )
    }
, Task
    { taskDirectness = Indirect
        ( Not
            ( Quantified Existentially
                ( Scope
                    ( Connected Conjunction ( PropositionalConstant IsTop )
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateAdj
                                    [ Just
                                        ( Word "universal" )
                                    ]
                                )
                            )
                            [ TermVar
                                ( B
                                    ( FreshVar 0 )
                                )
                            ]
                        )
                    )
                )
            )
        )
    , taskHypotheses =
        [
            ( Marker "universal_set"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateAdj
                                    [ Just
                                        ( Word "universal" )
                                    ]
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "V" )
                                )
                            ]
                        )
                        ( Quantified Universally
                            ( Scope
                                ( Quantified Universally
                                    ( Scope
                                        ( TermSymbol
                                            ( SymbolPredicate
                                                ( PredicateRelation
                                                    ( Command "in" )
                                                )
                                            )
                                            [ TermVar
                                                ( B
                                                    ( NamedVar "x" )
                                                )
                                            , TermVar
                                                ( F
                                                    ( TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( B
                                                                    ( NamedVar "V" )
                                                                )
                                                            )
                                                        )
                                                    )
                                                )
                                            ]
                                        )
                                    )
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "no_universal_set1"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            , TermVar
                                ( F
                                    ( TermVar
                                        ( NamedVar "R" )
                                    )
                                )
                            ]
                        )
                        ( Connected Conjunction
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "x" )
                                    )
                                , TermVar
                                    ( F
                                        ( TermVar
                                            ( NamedVar "V" )
                                        )
                                    )
                                ]
                            )
                            ( Not
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Command "in" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( NamedVar "x" )
                                        )
                                    , TermVar
                                        ( B
                                            ( NamedVar "x" )
                                        )
                                    ]
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "no_universal_set2"
            , TermSymbol
                ( SymbolPredicate
                    ( PredicateAdj
                        [ Just
                            ( Word "universal" )
                        ]
                    )
                )
                [ TermVar
                    ( NamedVar "V" )
                ]
            )
        ,
            ( Marker "no_universal_set3"
            , Not
                ( Not
                    ( Quantified Existentially
                        ( Scope
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateAdj
                                        [ Just
                                            ( Word "universal" )
                                        ]
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( FreshVar 0 )
                                    )
                                ]
                            )
                        )
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "no_universal_set"
    , taskConjecture = Connected Equivalence
        ( TermSymbol
            ( SymbolPredicate
                ( PredicateRelation
                    ( Command "in" )
                )
            )
            [ TermVar
                ( NamedVar "R" )
            , TermVar
                ( NamedVar "R" )
            ]
        )
        ( Not
            ( TermSymbol
                ( SymbolPredicate
                    ( PredicateRelation
                        ( Command "in" )
                    )
                )
                [ TermVar
                    ( NamedVar "R" )
                , TermVar
                    ( NamedVar "R" )
                ]
            )
        )
    }
, Task
    { taskDirectness = Indirect
        ( Not
            ( Quantified Existentially
                ( Scope
                    ( Connected Conjunction ( PropositionalConstant IsTop )
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateAdj
                                    [ Just
                                        ( Word "universal" )
                                    ]
                                )
                            )
                            [ TermVar
                                ( B
                                    ( FreshVar 0 )
                                )
                            ]
                        )
                    )
                )
            )
        )
    , taskHypotheses =
        [
            ( Marker "universal_set"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateAdj
                                    [ Just
                                        ( Word "universal" )
                                    ]
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "V" )
                                )
                            ]
                        )
                        ( Quantified Universally
                            ( Scope
                                ( Quantified Universally
                                    ( Scope
                                        ( TermSymbol
                                            ( SymbolPredicate
                                                ( PredicateRelation
                                                    ( Command "in" )
                                                )
                                            )
                                            [ TermVar
                                                ( B
                                                    ( NamedVar "x" )
                                                )
                                            , TermVar
                                                ( F
                                                    ( TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( B
                                                                    ( NamedVar "V" )
                                                                )
                                                            )
                                                        )
                                                    )
                                                )
                                            ]
                                        )
                                    )
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "no_universal_set1"
            , Connected Equivalence
                ( TermSymbol
                    ( SymbolPredicate
                        ( PredicateRelation
                            ( Command "in" )
                        )
                    )
                    [ TermVar
                        ( NamedVar "R" )
                    , TermVar
                        ( NamedVar "R" )
                    ]
                )
                ( Not
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Command "in" )
                            )
                        )
                        [ TermVar
                            ( NamedVar "R" )
                        , TermVar
                            ( NamedVar "R" )
                        ]
                    )
                )
            )
        ,
            ( Marker "no_universal_set2"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            , TermVar
                                ( F
                                    ( TermVar
                                        ( NamedVar "R" )
                                    )
                                )
                            ]
                        )
                        ( Connected Conjunction
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "x" )
                                    )
                                , TermVar
                                    ( F
                                        ( TermVar
                                            ( NamedVar "V" )
                                        )
                                    )
                                ]
                            )
                            ( Not
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Command "in" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( NamedVar "x" )
                                        )
                                    , TermVar
                                        ( B
                                            ( NamedVar "x" )
                                        )
                                    ]
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "no_universal_set3"
            , TermSymbol
                ( SymbolPredicate
                    ( PredicateAdj
                        [ Just
                            ( Word "universal" )
                        ]
                    )
                )
                [ TermVar
                    ( NamedVar "V" )
                ]
            )
        ,
            ( Marker "no_universal_set4"
            , Not
                ( Not
                    ( Quantified Existentially
                        ( Scope
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateAdj
                                        [ Just
                                            ( Word "universal" )
                                        ]
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( FreshVar 0 )
                                    )
                                ]
                            )
                        )
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "no_universal_set"
    , taskConjecture = PropositionalConstant IsBottom
    }
, Task
    { taskDirectness = Indirect
        ( Not
            ( Quantified Existentially
                ( Scope
                    ( Connected Conjunction ( PropositionalConstant IsTop )
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateAdj
                                    [ Just
                                        ( Word "universal" )
                                    ]
                                )
                            )
                            [ TermVar
                                ( B
                                    ( FreshVar 0 )
                                )
                            ]
                        )
                    )
                )
            )
        )
    , taskHypotheses =
        [
            ( Marker "universal_set"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateAdj
                                    [ Just
                                        ( Word "universal" )
                                    ]
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "V" )
                                )
                            ]
                        )
                        ( Quantified Universally
                            ( Scope
                                ( Quantified Universally
                                    ( Scope
                                        ( TermSymbol
                                            ( SymbolPredicate
                                                ( PredicateRelation
                                                    ( Command "in" )
                                                )
                                            )
                                            [ TermVar
                                                ( B
                                                    ( NamedVar "x" )
                                                )
                                            , TermVar
                                                ( F
                                                    ( TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( B
                                                                    ( NamedVar "V" )
                                                                )
                                                            )
                                                        )
                                                    )
                                                )
                                            ]
                                        )
                                    )
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "no_universal_set1"
            , PropositionalConstant IsBottom
            )
        ,
            ( Marker "no_universal_set2"
            , Connected Equivalence
                ( TermSymbol
                    ( SymbolPredicate
                        ( PredicateRelation
                            ( Command "in" )
                        )
                    )
                    [ TermVar
                        ( NamedVar "R" )
                    , TermVar
                        ( NamedVar "R" )
                    ]
                )
                ( Not
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Command "in" )
                            )
                        )
                        [ TermVar
                            ( NamedVar "R" )
                        , TermVar
                            ( NamedVar "R" )
                        ]
                    )
                )
            )
        ,
            ( Marker "no_universal_set3"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            , TermVar
                                ( F
                                    ( TermVar
                                        ( NamedVar "R" )
                                    )
                                )
                            ]
                        )
                        ( Connected Conjunction
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "x" )
                                    )
                                , TermVar
                                    ( F
                                        ( TermVar
                                            ( NamedVar "V" )
                                        )
                                    )
                                ]
                            )
                            ( Not
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Command "in" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( NamedVar "x" )
                                        )
                                    , TermVar
                                        ( B
                                            ( NamedVar "x" )
                                        )
                                    ]
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "no_universal_set4"
            , TermSymbol
                ( SymbolPredicate
                    ( PredicateAdj
                        [ Just
                            ( Word "universal" )
                        ]
                    )
                )
                [ TermVar
                    ( NamedVar "V" )
                ]
            )
        ,
            ( Marker "no_universal_set5"
            , Not
                ( Not
                    ( Quantified Existentially
                        ( Scope
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateAdj
                                        [ Just
                                            ( Word "universal" )
                                        ]
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( FreshVar 0 )
                                    )
                                ]
                            )
                        )
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "no_universal_set"
    , taskConjecture = PropositionalConstant IsBottom
    }
]