[ Task { taskDirectness = Direct , taskHypotheses = [] , taskConjectureLabel = Marker "trivial" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "x" ) , TermVar ( NamedVar "x" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "trivial" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "x" ) ) , TermVar ( B ( NamedVar "x" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "irrelevant" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "z" ) , TermVar ( NamedVar "z" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "irrelevant" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "z" ) ) , TermVar ( B ( NamedVar "z" ) ) ] ) ) ) , ( Marker "trivial" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "x" ) ) , TermVar ( B ( NamedVar "x" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "alsotrivial" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "trivial" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "x" ) ) , TermVar ( B ( NamedVar "x" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "alsotrivial" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "irrelevant" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "z" ) ) , TermVar ( B ( NamedVar "z" ) ) ] ) ) ) , ( Marker "trivial" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "x" ) ) , TermVar ( B ( NamedVar "x" ) ) ] ) ) ) , ( Marker "alsotrivial1" , TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] ) ] , taskConjectureLabel = Marker "alsotrivial" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "alsotrivial" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "y" ) ) , TermVar ( B ( NamedVar "y" ) ) ] ) ) ) , ( Marker "irrelevant" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "z" ) ) , TermVar ( B ( NamedVar "z" ) ) ] ) ) ) , ( Marker "trivial" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "x" ) ) , TermVar ( B ( NamedVar "x" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "trivial_biconditionals" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "trivial" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "x" ) ) , TermVar ( B ( NamedVar "x" ) ) ] ) ) ) ] , taskConjectureLabel = Marker "trivial_biconditionals" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] } , Task { taskDirectness = Direct , taskHypotheses = [ ( Marker "alsotrivial" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "y" ) ) , TermVar ( B ( NamedVar "y" ) ) ] ) ) ) , ( Marker "irrelevant" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "z" ) ) , TermVar ( B ( NamedVar "z" ) ) ] ) ) ) , ( Marker "trivial" , Quantified Universally ( Scope ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( B ( NamedVar "x" ) ) , TermVar ( B ( NamedVar "x" ) ) ] ) ) ) , ( Marker "trivial_biconditionals1" , Connected Equivalence ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] ) ( TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] ) ) ] , taskConjectureLabel = Marker "trivial_biconditionals" , taskConjecture = TermSymbol ( SymbolPredicate ( PredicateRelation ( Symbol "=" ) ) ) [ TermVar ( NamedVar "y" ) , TermVar ( NamedVar "y" ) ] } ]