[ Task
    { taskDirectness = Direct
    , taskHypotheses = []
    , taskConjectureLabel = Marker "first_proposition"
    , taskConjecture = TermSymbol
        ( SymbolPredicate
            ( PredicateRelation
                ( Symbol "=" )
            )
        )
        [ TermVar
            ( NamedVar "a" )
        , TermVar
            ( NamedVar "a" )
        ]
    }
, Task
    { taskDirectness = Direct
    , taskHypotheses =
        [
            ( Marker "first_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        ]
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "second_proposition"
    , taskConjecture = TermSymbol
        ( SymbolPredicate
            ( PredicateRelation
                ( Symbol "=" )
            )
        )
        [ TermVar
            ( NamedVar "b" )
        , TermVar
            ( NamedVar "b" )
        ]
    }
, Task
    { taskDirectness = Direct
    , taskHypotheses =
        [
            ( Marker "first_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        ]
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "third_proposition"
    , taskConjecture = TermSymbol
        ( SymbolPredicate
            ( PredicateRelation
                ( Symbol "=" )
            )
        )
        [ TermVar
            ( NamedVar "c" )
        , TermVar
            ( NamedVar "c" )
        ]
    }
, Task
    { taskDirectness = Direct
    , taskHypotheses =
        [
            ( Marker "first_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        ]
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "fourth_proposition"
    , taskConjecture = Quantified Universally
        ( Scope
            ( TermSymbol
                ( SymbolPredicate
                    ( PredicateRelation
                        ( Symbol "=" )
                    )
                )
                [ TermVar
                    ( B
                        ( NamedVar "d" )
                    )
                , TermVar
                    ( B
                        ( NamedVar "d" )
                    )
                ]
            )
        )
    }
, Task
    { taskDirectness = Direct
    , taskHypotheses =
        [
            ( Marker "third_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "c" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "c" )
                            )
                        ]
                    )
                )
            )
        ,
            ( Marker "second_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "b" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "b" )
                            )
                        ]
                    )
                )
            )
        ,
            ( Marker "first_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        ]
                    )
                )
            )
        ,
            ( Marker "fourth_proposition1"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "d" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "d" )
                            )
                        ]
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "fourth_proposition"
    , taskConjecture = TermSymbol
        ( SymbolPredicate
            ( PredicateRelation
                ( Symbol "=" )
            )
        )
        [ TermVar
            ( NamedVar "e" )
        , TermVar
            ( NamedVar "e" )
        ]
    }
, Task
    { taskDirectness = Direct
    , taskHypotheses =
        [
            ( Marker "fourth_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "e" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "e" )
                            )
                        ]
                    )
                )
            )
        ,
            ( Marker "third_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "c" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "c" )
                            )
                        ]
                    )
                )
            )
        ,
            ( Marker "second_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "b" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "b" )
                            )
                        ]
                    )
                )
            )
        ,
            ( Marker "first_proposition"
            , Quantified Universally
                ( Scope
                    ( TermSymbol
                        ( SymbolPredicate
                            ( PredicateRelation
                                ( Symbol "=" )
                            )
                        )
                        [ TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        , TermVar
                            ( B
                                ( NamedVar "a" )
                            )
                        ]
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "fifth_proposition"
    , taskConjecture = TermSymbol
        ( SymbolPredicate
            ( PredicateRelation
                ( Symbol "=" )
            )
        )
        [ TermVar
            ( NamedVar "f" )
        , TermVar
            ( NamedVar "f" )
        ]
    }
]