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