[ Task
    { taskDirectness = Direct
    , taskHypotheses =
        [
            ( Marker "unit"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "any" )
                                )
                            , TermSymbol
                                ( SymbolMixfix
                                    [ Just
                                        ( Command "unit" )
                                    ]
                                ) []
                            ]
                        )
                        ( Connected Disjunction
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "any" )
                                    )
                                , TermSymbol
                                    ( SymbolMixfix
                                        [ Just
                                            ( Command "emptyset" )
                                        ]
                                    ) []
                                ]
                            )
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Symbol "=" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "any" )
                                    )
                                , TermSymbol
                                    ( SymbolMixfix
                                        [ Just
                                            ( Command "emptyset" )
                                        ]
                                    ) []
                                ]
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "times"
            , Quantified Universally
                ( Scope
                    ( Quantified Universally
                        ( Scope
                            ( Connected Equivalence
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Command "in" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( NamedVar "frv" )
                                        )
                                    , TermSymbol
                                        ( SymbolMixfix
                                            [ Nothing
                                            , Just
                                                ( Command "times" )
                                            , Nothing
                                            ]
                                        )
                                        [ TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( NamedVar "A" )
                                                    )
                                                )
                                            )
                                        , TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( NamedVar "B" )
                                                    )
                                                )
                                            )
                                        ]
                                    ]
                                )
                                ( Quantified Existentially
                                    ( Scope
                                        ( Connected Conjunction
                                            ( Connected Conjunction
                                                ( TermSymbol
                                                    ( SymbolPredicate
                                                        ( PredicateRelation
                                                            ( Command "in" )
                                                        )
                                                    )
                                                    [ TermVar
                                                        ( B
                                                            ( NamedVar "a" )
                                                        )
                                                    , TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( F
                                                                    ( TermVar
                                                                        ( B
                                                                            ( NamedVar "A" )
                                                                        )
                                                                    )
                                                                )
                                                            )
                                                        )
                                                    ]
                                                )
                                                ( TermSymbol
                                                    ( SymbolPredicate
                                                        ( PredicateRelation
                                                            ( Command "in" )
                                                        )
                                                    )
                                                    [ TermVar
                                                        ( B
                                                            ( NamedVar "b" )
                                                        )
                                                    , TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( F
                                                                    ( TermVar
                                                                        ( B
                                                                            ( NamedVar "B" )
                                                                        )
                                                                    )
                                                                )
                                                            )
                                                        )
                                                    ]
                                                )
                                            )
                                            ( TermSymbol
                                                ( SymbolPredicate
                                                    ( PredicateRelation
                                                        ( Symbol "=" )
                                                    )
                                                )
                                                [ TermSymbol
                                                    ( SymbolMixfix
                                                        [ Just
                                                            ( Command "pair" )
                                                        , Just InvisibleBraceL
                                                        , Nothing
                                                        , Just InvisibleBraceR
                                                        , Just InvisibleBraceL
                                                        , Nothing
                                                        , Just InvisibleBraceR
                                                        ]
                                                    )
                                                    [ TermVar
                                                        ( B
                                                            ( NamedVar "a" )
                                                        )
                                                    , TermVar
                                                        ( B
                                                            ( NamedVar "b" )
                                                        )
                                                    ]
                                                , TermVar
                                                    ( F
                                                        ( TermVar
                                                            ( B
                                                                ( NamedVar "frv" )
                                                            )
                                                        )
                                                    )
                                                ]
                                            )
                                        )
                                    )
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "cons"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            , TermSymbol
                                ( SymbolMixfix
                                    [ Just
                                        ( Command "cons" )
                                    , Just InvisibleBraceL
                                    , Nothing
                                    , Just InvisibleBraceR
                                    , Just InvisibleBraceL
                                    , Nothing
                                    , Just InvisibleBraceR
                                    ]
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "y" )
                                    )
                                , TermVar
                                    ( B
                                        ( NamedVar "X" )
                                    )
                                ]
                            ]
                        )
                        ( Connected Disjunction
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Symbol "=" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "x" )
                                    )
                                , TermVar
                                    ( B
                                        ( NamedVar "y" )
                                    )
                                ]
                            )
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "x" )
                                    )
                                , TermVar
                                    ( B
                                        ( NamedVar "X" )
                                    )
                                ]
                            )
                        )
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "pair_emptyset_in_times_unit"
    , taskConjecture = TermSymbol
        ( SymbolPredicate
            ( PredicateRelation
                ( Command "in" )
            )
        )
        [ TermSymbol
            ( SymbolMixfix
                [ Just
                    ( Command "pair" )
                , Just InvisibleBraceL
                , Nothing
                , Just InvisibleBraceR
                , Just InvisibleBraceL
                , Nothing
                , Just InvisibleBraceR
                ]
            )
            [ TermSymbol
                ( SymbolMixfix
                    [ Just
                        ( Command "emptyset" )
                    ]
                ) []
            , TermSymbol
                ( SymbolMixfix
                    [ Just
                        ( Command "emptyset" )
                    ]
                ) []
            ]
        , TermSymbol
            ( SymbolMixfix
                [ Nothing
                , Just
                    ( Command "times" )
                , Nothing
                ]
            )
            [ TermSymbol
                ( SymbolMixfix
                    [ Just
                        ( Command "unit" )
                    ]
                ) []
            , TermSymbol
                ( SymbolMixfix
                    [ Just
                        ( Command "unit" )
                    ]
                ) []
            ]
        ]
    }
, Task
    { taskDirectness = Direct
    , taskHypotheses =
        [
            ( Marker "pair_emptyset_in_times_unit"
            , TermSymbol
                ( SymbolPredicate
                    ( PredicateRelation
                        ( Command "in" )
                    )
                )
                [ TermSymbol
                    ( SymbolMixfix
                        [ Just
                            ( Command "pair" )
                        , Just InvisibleBraceL
                        , Nothing
                        , Just InvisibleBraceR
                        , Just InvisibleBraceL
                        , Nothing
                        , Just InvisibleBraceR
                        ]
                    )
                    [ TermSymbol
                        ( SymbolMixfix
                            [ Just
                                ( Command "emptyset" )
                            ]
                        ) []
                    , TermSymbol
                        ( SymbolMixfix
                            [ Just
                                ( Command "emptyset" )
                            ]
                        ) []
                    ]
                , TermSymbol
                    ( SymbolMixfix
                        [ Nothing
                        , Just
                            ( Command "times" )
                        , Nothing
                        ]
                    )
                    [ TermSymbol
                        ( SymbolMixfix
                            [ Just
                                ( Command "unit" )
                            ]
                        ) []
                    , TermSymbol
                        ( SymbolMixfix
                            [ Just
                                ( Command "unit" )
                            ]
                        ) []
                    ]
                ]
            )
        ,
            ( Marker "unit"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "any" )
                                )
                            , TermSymbol
                                ( SymbolMixfix
                                    [ Just
                                        ( Command "unit" )
                                    ]
                                ) []
                            ]
                        )
                        ( Connected Disjunction
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "any" )
                                    )
                                , TermSymbol
                                    ( SymbolMixfix
                                        [ Just
                                            ( Command "emptyset" )
                                        ]
                                    ) []
                                ]
                            )
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Symbol "=" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "any" )
                                    )
                                , TermSymbol
                                    ( SymbolMixfix
                                        [ Just
                                            ( Command "emptyset" )
                                        ]
                                    ) []
                                ]
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "times"
            , Quantified Universally
                ( Scope
                    ( Quantified Universally
                        ( Scope
                            ( Connected Equivalence
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Command "in" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( NamedVar "frv" )
                                        )
                                    , TermSymbol
                                        ( SymbolMixfix
                                            [ Nothing
                                            , Just
                                                ( Command "times" )
                                            , Nothing
                                            ]
                                        )
                                        [ TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( NamedVar "A" )
                                                    )
                                                )
                                            )
                                        , TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( NamedVar "B" )
                                                    )
                                                )
                                            )
                                        ]
                                    ]
                                )
                                ( Quantified Existentially
                                    ( Scope
                                        ( Connected Conjunction
                                            ( Connected Conjunction
                                                ( TermSymbol
                                                    ( SymbolPredicate
                                                        ( PredicateRelation
                                                            ( Command "in" )
                                                        )
                                                    )
                                                    [ TermVar
                                                        ( B
                                                            ( NamedVar "a" )
                                                        )
                                                    , TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( F
                                                                    ( TermVar
                                                                        ( B
                                                                            ( NamedVar "A" )
                                                                        )
                                                                    )
                                                                )
                                                            )
                                                        )
                                                    ]
                                                )
                                                ( TermSymbol
                                                    ( SymbolPredicate
                                                        ( PredicateRelation
                                                            ( Command "in" )
                                                        )
                                                    )
                                                    [ TermVar
                                                        ( B
                                                            ( NamedVar "b" )
                                                        )
                                                    , TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( F
                                                                    ( TermVar
                                                                        ( B
                                                                            ( NamedVar "B" )
                                                                        )
                                                                    )
                                                                )
                                                            )
                                                        )
                                                    ]
                                                )
                                            )
                                            ( TermSymbol
                                                ( SymbolPredicate
                                                    ( PredicateRelation
                                                        ( Symbol "=" )
                                                    )
                                                )
                                                [ TermSymbol
                                                    ( SymbolMixfix
                                                        [ Just
                                                            ( Command "pair" )
                                                        , Just InvisibleBraceL
                                                        , Nothing
                                                        , Just InvisibleBraceR
                                                        , Just InvisibleBraceL
                                                        , Nothing
                                                        , Just InvisibleBraceR
                                                        ]
                                                    )
                                                    [ TermVar
                                                        ( B
                                                            ( NamedVar "a" )
                                                        )
                                                    , TermVar
                                                        ( B
                                                            ( NamedVar "b" )
                                                        )
                                                    ]
                                                , TermVar
                                                    ( F
                                                        ( TermVar
                                                            ( B
                                                                ( NamedVar "frv" )
                                                            )
                                                        )
                                                    )
                                                ]
                                            )
                                        )
                                    )
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "cons"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            , TermSymbol
                                ( SymbolMixfix
                                    [ Just
                                        ( Command "cons" )
                                    , Just InvisibleBraceL
                                    , Nothing
                                    , Just InvisibleBraceR
                                    , Just InvisibleBraceL
                                    , Nothing
                                    , Just InvisibleBraceR
                                    ]
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "y" )
                                    )
                                , TermVar
                                    ( B
                                        ( NamedVar "X" )
                                    )
                                ]
                            ]
                        )
                        ( Connected Disjunction
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Symbol "=" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "x" )
                                    )
                                , TermVar
                                    ( B
                                        ( NamedVar "y" )
                                    )
                                ]
                            )
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "x" )
                                    )
                                , TermVar
                                    ( B
                                        ( NamedVar "X" )
                                    )
                                ]
                            )
                        )
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "suc"
    , taskConjecture = Quantified Universally
        ( Scope
            ( Connected Implication
                ( TermSymbol
                    ( SymbolPredicate
                        ( PredicateRelation
                            ( Command "in" )
                        )
                    )
                    [ TermVar
                        ( B
                            ( FreshVar 0 )
                        )
                    , TermVar
                        ( F
                            ( TermVar
                                ( NamedVar "a" )
                            )
                        )
                    ]
                )
                ( Quantified Universally
                    ( Scope
                        ( Connected Implication
                            ( Connected Conjunction
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Symbol "=" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( FreshVar 1 )
                                        )
                                    , TermSymbol
                                        ( SymbolMixfix
                                            [ Just
                                                ( Command "cons" )
                                            , Just InvisibleBraceL
                                            , Nothing
                                            , Just InvisibleBraceR
                                            , Just InvisibleBraceL
                                            , Nothing
                                            , Just InvisibleBraceR
                                            ]
                                        )
                                        [ TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( FreshVar 0 )
                                                    )
                                                )
                                            )
                                        , TermSymbol
                                            ( SymbolMixfix
                                                [ Just
                                                    ( Command "emptyset" )
                                                ]
                                            ) []
                                        ]
                                    ]
                                )
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Symbol "=" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( FreshVar 2 )
                                        )
                                    , TermSymbol
                                        ( SymbolMixfix
                                            [ Just
                                                ( Command "cons" )
                                            , Just InvisibleBraceL
                                            , Nothing
                                            , Just InvisibleBraceR
                                            , Just InvisibleBraceL
                                            , Nothing
                                            , Just InvisibleBraceR
                                            ]
                                        )
                                        [ TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( FreshVar 0 )
                                                    )
                                                )
                                            )
                                        , TermSymbol
                                            ( SymbolMixfix
                                                [ Just
                                                    ( Command "emptyset" )
                                                ]
                                            ) []
                                        ]
                                    ]
                                )
                            )
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Symbol "=" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( FreshVar 1 )
                                    )
                                , TermVar
                                    ( B
                                        ( FreshVar 2 )
                                    )
                                ]
                            )
                        )
                    )
                )
            )
        )
    }
, Task
    { taskDirectness = Direct
    , taskHypotheses =
        [
            ( Marker "suc"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( FreshVar 1 )
                                )
                            , TermSymbol
                                ( SymbolMixfix
                                    [ Just
                                        ( Command "suc" )
                                    , Just InvisibleBraceL
                                    , Nothing
                                    , Just InvisibleBraceR
                                    ]
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "a" )
                                    )
                                ]
                            ]
                        )
                        ( Quantified Existentially
                            ( Scope
                                ( Connected Conjunction
                                    ( TermSymbol
                                        ( SymbolPredicate
                                            ( PredicateRelation
                                                ( Command "in" )
                                            )
                                        )
                                        [ TermVar
                                            ( B
                                                ( FreshVar 0 )
                                            )
                                        , TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( NamedVar "a" )
                                                    )
                                                )
                                            )
                                        ]
                                    )
                                    ( TermSymbol
                                        ( SymbolPredicate
                                            ( PredicateRelation
                                                ( Symbol "=" )
                                            )
                                        )
                                        [ TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( FreshVar 1 )
                                                    )
                                                )
                                            )
                                        , TermSymbol
                                            ( SymbolMixfix
                                                [ Just
                                                    ( Command "cons" )
                                                , Just InvisibleBraceL
                                                , Nothing
                                                , Just InvisibleBraceR
                                                , Just InvisibleBraceL
                                                , Nothing
                                                , Just InvisibleBraceR
                                                ]
                                            )
                                            [ TermVar
                                                ( B
                                                    ( FreshVar 0 )
                                                )
                                            , TermSymbol
                                                ( SymbolMixfix
                                                    [ Just
                                                        ( Command "emptyset" )
                                                    ]
                                                ) []
                                            ]
                                        ]
                                    )
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "pair_emptyset_in_times_unit"
            , TermSymbol
                ( SymbolPredicate
                    ( PredicateRelation
                        ( Command "in" )
                    )
                )
                [ TermSymbol
                    ( SymbolMixfix
                        [ Just
                            ( Command "pair" )
                        , Just InvisibleBraceL
                        , Nothing
                        , Just InvisibleBraceR
                        , Just InvisibleBraceL
                        , Nothing
                        , Just InvisibleBraceR
                        ]
                    )
                    [ TermSymbol
                        ( SymbolMixfix
                            [ Just
                                ( Command "emptyset" )
                            ]
                        ) []
                    , TermSymbol
                        ( SymbolMixfix
                            [ Just
                                ( Command "emptyset" )
                            ]
                        ) []
                    ]
                , TermSymbol
                    ( SymbolMixfix
                        [ Nothing
                        , Just
                            ( Command "times" )
                        , Nothing
                        ]
                    )
                    [ TermSymbol
                        ( SymbolMixfix
                            [ Just
                                ( Command "unit" )
                            ]
                        ) []
                    , TermSymbol
                        ( SymbolMixfix
                            [ Just
                                ( Command "unit" )
                            ]
                        ) []
                    ]
                ]
            )
        ,
            ( Marker "unit"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "any" )
                                )
                            , TermSymbol
                                ( SymbolMixfix
                                    [ Just
                                        ( Command "unit" )
                                    ]
                                ) []
                            ]
                        )
                        ( Connected Disjunction
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "any" )
                                    )
                                , TermSymbol
                                    ( SymbolMixfix
                                        [ Just
                                            ( Command "emptyset" )
                                        ]
                                    ) []
                                ]
                            )
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Symbol "=" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "any" )
                                    )
                                , TermSymbol
                                    ( SymbolMixfix
                                        [ Just
                                            ( Command "emptyset" )
                                        ]
                                    ) []
                                ]
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "times"
            , Quantified Universally
                ( Scope
                    ( Quantified Universally
                        ( Scope
                            ( Connected Equivalence
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Command "in" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( NamedVar "frv" )
                                        )
                                    , TermSymbol
                                        ( SymbolMixfix
                                            [ Nothing
                                            , Just
                                                ( Command "times" )
                                            , Nothing
                                            ]
                                        )
                                        [ TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( NamedVar "A" )
                                                    )
                                                )
                                            )
                                        , TermVar
                                            ( F
                                                ( TermVar
                                                    ( B
                                                        ( NamedVar "B" )
                                                    )
                                                )
                                            )
                                        ]
                                    ]
                                )
                                ( Quantified Existentially
                                    ( Scope
                                        ( Connected Conjunction
                                            ( Connected Conjunction
                                                ( TermSymbol
                                                    ( SymbolPredicate
                                                        ( PredicateRelation
                                                            ( Command "in" )
                                                        )
                                                    )
                                                    [ TermVar
                                                        ( B
                                                            ( NamedVar "a" )
                                                        )
                                                    , TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( F
                                                                    ( TermVar
                                                                        ( B
                                                                            ( NamedVar "A" )
                                                                        )
                                                                    )
                                                                )
                                                            )
                                                        )
                                                    ]
                                                )
                                                ( TermSymbol
                                                    ( SymbolPredicate
                                                        ( PredicateRelation
                                                            ( Command "in" )
                                                        )
                                                    )
                                                    [ TermVar
                                                        ( B
                                                            ( NamedVar "b" )
                                                        )
                                                    , TermVar
                                                        ( F
                                                            ( TermVar
                                                                ( F
                                                                    ( TermVar
                                                                        ( B
                                                                            ( NamedVar "B" )
                                                                        )
                                                                    )
                                                                )
                                                            )
                                                        )
                                                    ]
                                                )
                                            )
                                            ( TermSymbol
                                                ( SymbolPredicate
                                                    ( PredicateRelation
                                                        ( Symbol "=" )
                                                    )
                                                )
                                                [ TermSymbol
                                                    ( SymbolMixfix
                                                        [ Just
                                                            ( Command "pair" )
                                                        , Just InvisibleBraceL
                                                        , Nothing
                                                        , Just InvisibleBraceR
                                                        , Just InvisibleBraceL
                                                        , Nothing
                                                        , Just InvisibleBraceR
                                                        ]
                                                    )
                                                    [ TermVar
                                                        ( B
                                                            ( NamedVar "a" )
                                                        )
                                                    , TermVar
                                                        ( B
                                                            ( NamedVar "b" )
                                                        )
                                                    ]
                                                , TermVar
                                                    ( F
                                                        ( TermVar
                                                            ( B
                                                                ( NamedVar "frv" )
                                                            )
                                                        )
                                                    )
                                                ]
                                            )
                                        )
                                    )
                                )
                            )
                        )
                    )
                )
            )
        ,
            ( Marker "cons"
            , Quantified Universally
                ( Scope
                    ( Connected Equivalence
                        ( TermSymbol
                            ( SymbolPredicate
                                ( PredicateRelation
                                    ( Command "in" )
                                )
                            )
                            [ TermVar
                                ( B
                                    ( NamedVar "x" )
                                )
                            , TermSymbol
                                ( SymbolMixfix
                                    [ Just
                                        ( Command "cons" )
                                    , Just InvisibleBraceL
                                    , Nothing
                                    , Just InvisibleBraceR
                                    , Just InvisibleBraceL
                                    , Nothing
                                    , Just InvisibleBraceR
                                    ]
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "y" )
                                    )
                                , TermVar
                                    ( B
                                        ( NamedVar "X" )
                                    )
                                ]
                            ]
                        )
                        ( Connected Disjunction
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Symbol "=" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "x" )
                                    )
                                , TermVar
                                    ( B
                                        ( NamedVar "y" )
                                    )
                                ]
                            )
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Command "in" )
                                    )
                                )
                                [ TermVar
                                    ( B
                                        ( NamedVar "x" )
                                    )
                                , TermVar
                                    ( B
                                        ( NamedVar "X" )
                                    )
                                ]
                            )
                        )
                    )
                )
            )
        ]
    , taskConjectureLabel = Marker "times_replacement_test"
    , taskConjecture = Quantified Universally
        ( Scope
            ( Connected Equivalence
                ( TermSymbol
                    ( SymbolPredicate
                        ( PredicateRelation
                            ( Command "in" )
                        )
                    )
                    [ TermVar
                        ( B
                            ( NamedVar "frv" )
                        )
                    , TermSymbol
                        ( SymbolMixfix
                            [ Nothing
                            , Just
                                ( Command "times" )
                            , Nothing
                            ]
                        )
                        [ TermVar
                            ( F
                                ( TermVar
                                    ( NamedVar "A" )
                                )
                            )
                        , TermVar
                            ( F
                                ( TermVar
                                    ( NamedVar "B" )
                                )
                            )
                        ]
                    ]
                )
                ( Quantified Existentially
                    ( Scope
                        ( Connected Conjunction
                            ( Connected Conjunction
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Command "in" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( NamedVar "a" )
                                        )
                                    , TermVar
                                        ( F
                                            ( TermVar
                                                ( F
                                                    ( TermVar
                                                        ( NamedVar "A" )
                                                    )
                                                )
                                            )
                                        )
                                    ]
                                )
                                ( TermSymbol
                                    ( SymbolPredicate
                                        ( PredicateRelation
                                            ( Command "in" )
                                        )
                                    )
                                    [ TermVar
                                        ( B
                                            ( NamedVar "b" )
                                        )
                                    , TermVar
                                        ( F
                                            ( TermVar
                                                ( F
                                                    ( TermVar
                                                        ( NamedVar "B" )
                                                    )
                                                )
                                            )
                                        )
                                    ]
                                )
                            )
                            ( TermSymbol
                                ( SymbolPredicate
                                    ( PredicateRelation
                                        ( Symbol "=" )
                                    )
                                )
                                [ TermSymbol
                                    ( SymbolMixfix
                                        [ Just
                                            ( Command "pair" )
                                        , Just InvisibleBraceL
                                        , Nothing
                                        , Just InvisibleBraceR
                                        , Just InvisibleBraceL
                                        , Nothing
                                        , Just InvisibleBraceR
                                        ]
                                    )
                                    [ TermVar
                                        ( B
                                            ( NamedVar "a" )
                                        )
                                    , TermVar
                                        ( B
                                            ( NamedVar "b" )
                                        )
                                    ]
                                , TermVar
                                    ( F
                                        ( TermVar
                                            ( B
                                                ( NamedVar "frv" )
                                            )
                                        )
                                    )
                                ]
                            )
                        )
                    )
                )
            )
        )
    }
]