[ Task { taskDirectness = Direct , taskHypotheses = [] , taskConjectureLabel = Marker "prop1" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "a" ) , TermVar ( NamedVar "a" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "prop1" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "a" ) ) , TermVar ( B ( NamedVar "a" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "prop2" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "b" ) , TermVar ( NamedVar "b" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "prop1" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "a" ) ) , TermVar ( B ( NamedVar "a" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "prop3" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "c" ) , TermVar ( NamedVar "c" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "prop1" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "a" ) ) , TermVar ( B ( NamedVar "a" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "prop4" , taskConjecture = Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "d" ) ) , TermVar ( B ( NamedVar "d" ) ) ] ) ) } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "prop3" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "c" ) ) , TermVar ( B ( NamedVar "c" ) ) ] ) ) ) , ( Marker "prop2" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "b" ) ) , TermVar ( B ( NamedVar "b" ) ) ] ) ) ) , ( Marker "prop1" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "a" ) ) , TermVar ( B ( NamedVar "a" ) ) ] ) ) ) , ( Marker "prop41" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "d" ) ) , TermVar ( B ( NamedVar "d" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "prop4" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "e" ) , TermVar ( NamedVar "e" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "prop4" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "e" ) ) , TermVar ( B ( NamedVar "e" ) ) ] ) ) ) , ( Marker "prop3" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "c" ) ) , TermVar ( B ( NamedVar "c" ) ) ] ) ) ) , ( Marker "prop2" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "b" ) ) , TermVar ( B ( NamedVar "b" ) ) ] ) ) ) , ( Marker "prop1" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "a" ) ) , TermVar ( B ( NamedVar "a" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "prop5" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "f" ) , TermVar ( NamedVar "f" ) ] } ]