Deathtrap

Famed playwright Sidney Bruhl (Caine) debuts the latest in a series of Broadway flops and returns to his opulent Long Island home and his wife, Myra (Cannon). Although their financial situation is not dire, Sidney is hungry for a hit. He has received a manuscript of a play called Deathtrap written by one of his students, Clifford Anderson, that he considers near perfection. Clifford recently attended one of Sidney's writing workshops and now asks for input on his play. Sidney suggests that he murder Clifford and produce the play as his own. He invites Clifford to their secluded home, decorated with weapons from Sidney's plays, to discuss it.
Clifford (Reeve) arrives by train. Myra tries desperately over the course of an evening to convince Sidney to work with Clifford as equal partners, but to no avail; Sidney attacks Clifford, strangling him with a chain. Sidney removes the body but still has to convince Myra to conspire with him. She reveals nothing when they receive an unexpected visit from the psychic Helga Ten Dorp (Irene Worth), a minor celebrity who is staying with the Bruhls' neighbors. Helga senses pain and death in the house; before she leaves she warns Sidney about a man in boots who will attack him.
As she prepares for bed, Myra is beginning to come to terms with what Sidney has done. All is calm until Clifford bursts through the bedroom window and beats Sidney with a log. Clifford chases Myra through the house until her weak heart gives out; she collapses and dies. Sidney calmly descends the stairs, uninjured, and sidles unperturbed to Clifford's side. They exchange a few words about what to do with Myra's body, then exchange a passionate kiss.
Clifford moves in with Sidney. The two work together at a partner's desk, Sidney suffering from writer's block but Clifford busily typing page after page of a new play that he keeps suspiciously under lock and key. While Clifford is out grocery shopping, Sidney tries to break into the drawer but fails before Clifford returns home. He waits for Clifford to retrieve his play, then switches Clifford's manuscript with a fake. He is horrified to discover that Clifford is using the true story of Myra's murder as the basis of Deathtrap. He angrily confronts Clifford, who boasts about the play's potential and offers to share the credit with him. Sidney comes to realize from Clifford's behavior that he is a sociopath, and lies about the solvency of Myra's estate as an excuse to assist Clifford while he contemplates a solution.
A few days later, Helga stops by, ostensibly for candles in anticipation of a predicted thunderstorm. Almost immediately after meeting Clifford, she warns Sidney that Clifford is the man in boots.
Sidney double crosses Clifford by asking him to arm himself with an axe to demonstrate a bit of stage business, then producing a gun to dispose of Clifford and "Deathtrap". But Clifford has loaded the bullets into a different gun, and he secures Sidney to a chair with manacles, unaware they were once the property of Harry Houdini. Sidney easily releases himself, grabs a crossbow and knocks out Clifford with a single shot. Before Sidney can dispose of the body, the storm hits with full force, plunging him into darkness. A flash of lightning illuminates the living room and a fleeting figure scurries through. It is Helga, aware of the mortal danger at the house. Sidney finds a knife while Helga grabs a gun. Clifford regains consciousness and trips Helga. The gun goes flying and a struggle for it ensues that ...
... culminates on a stage with actors before a full house, where "Clifford" stabs "Sidney" and both die, leaving "Helga" victorious. The opening night audience erupts in thunderous applause, and at the back of the house stands Helga Ten Dorp, now the author of a hit Broadway play called Deathtrap.

Question: Who wrote the play?
Answer: Helga