MAYBE MAYBE TRS: { a__f(X1, X2, X3) -> f(X1, X2, X3), a__f(b(), X, c()) -> a__f(X, a__c(), X), a__c() -> b(), a__c() -> c(), mark(b()) -> b(), mark(c()) -> a__c(), mark(f(X1, X2, X3)) -> a__f(X1, mark(X2), X3) } DUP: We consider a duplicating system. Trs: { a__f(X1, X2, X3) -> f(X1, X2, X3), a__f(b(), X, c()) -> a__f(X, a__c(), X), a__c() -> b(), a__c() -> c(), mark(b()) -> b(), mark(c()) -> a__c(), mark(f(X1, X2, X3)) -> a__f(X1, mark(X2), X3) } Fail