[ 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 "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 "emptyset_in_unit" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Command "in" ) ) ) [ TermSymbol ( SymbolMixfix [ Just ( Command "emptyset" ) ] ) [] , TermSymbol ( SymbolMixfix [ Just ( Command "unit" ) ] ) [] ] } ]