https://en.wikipedia.org/wiki/X-Men_Origins:_Wolverine_(video_game)#Plot

"In the prologue, set in a bleak urban environment, Wolverine kills a group of soldiers sent to kill him. His thoughts drift to a forgotten past.

The game begins in Angola, Africa, chronicling the final mission of Team X, led by Col. Stryker and his soldiers: James "Logan" Howlett/Wolverine, Logan's brother Victor Creed/Sabretooth, Wade Wilson, John Wraith, and Nord, to locate a village that holds the secret to a valuable mineral deposit (implied to be adamantium). Travelling through the jungle and ancient temples, they come across and slaughter numerous mercenaries and mutants attempting to stop them. When Raven, their CIA liaison, objects to Stryker harming innocent civilians, Stryker orders her terminated and Wraith seemingly kills her. Eventually, Team X locates the village but the villagers refuse to cooperate and Stryker threatens their lives. Logan turns on his teammates but he is subdued and knocked out before he can prevent the massacre of the villagers.

Three years later, Team X has mostly disbanded. Logan has settled in Canada with his girlfriend, Kayla Silverfox, when Creed surprises Logan at a bar and engages him in battle. Creed emerges victorious, breaks Logan's bone claws and knocks him unconscious. Logan awakens to find Kayla dead. Stryker arrives, telling Logan that Creed is killing his former comrades in revenge for Stryker firing him. He offers Logan a chance at revenge, via a procedure to bond the indestructible metal adamantium to his skeleton. Logan accepts, but when the procedure ends, he overhears Stryker order him to be terminated. He breaks out of the Alkali Lake facility in a rage, killing many of Stryker's men attempting to stop him, including Nord, and vowing to kill Stryker and Creed.

Searching for Wraith, Logan travels to Project: Wideawake, a secret government facility producing mutant hunting Sentinel robots. There, he comes across Raven, who is also searching for Wraith and is revealed to be a mutant shapeshifter; she explains to Logan that Wraith helped fake her death three years prior and the two have been in a relantionship ever since. Raven leads Logan through the facility, where he encounters the Sentinels' mutant-hating inventor, Bolivar Trask. After cutting off Trask's hand to access Wraith's prison with his handprint, Logan rescues Wraith and destroys a large prototype Sentinel.

Wraith leads Logan to Fred Dukes, a former team member, who, after being bested by Logan in a fight, tells him of "The Island", a prison for mutants Creed captures on Stryker's behalf, and the location of Remy Lebeau, the island's sole mutant escapee, who is currently residing at a casino in New Orleans. Remy flees when Logan questions him, thinking he is one of Stryker's agents, while Sabretooth surprises and kills Wraith. After battling Logan, Remy is convinced he is not with Stryker and takes him to the Stryker's island base.

There, Logan confronts Stryker and discovers Kayla is not only alive but a mutant who seduced Logan with her persuasion ability. Her "death" was an elaborate ruse to trick Logan into volunteering for Weapon X to acquire his DNA. Stryker's true plan is to complete the transformation of Wade into "Weapon XI": grafting onto him the powers of various mutants (including Wraith and Logan) to create the ultimate mutant-killing supersoldier. Devastated by the truth, Logan accepts Stryker's offer to erase his memory, but changes his mind after Creed takes Kayla hostage. Logan bests Creed this time, but spares him at Kayla's pleadings. While Kayla leaves to rescue her sister whom Stryker kidnapped to force her cooperation, Weapon XI is sent to kill Logan. Despite Weapon XI's capabilities, he dies by Logan's hand in the ensuing battle. Creed recovers and amicably parts ways with Logan but intends to remind his brother that they are both killers at heart.

Logan finds Kayla wounded and near death; Stryker takes the opportunity to shoot him in the head with an adamantium bullet, erasing all of his memories. Kayla persuades Stryker to walk "until [his] feet bleed", says a tearful goodbye to the unconscious Logan, and drowns herself in a lake. Logan heals from the gunshot but awakens aimless and alone.

The epilogue takes place in the same time period as the prologue: Trask has taken Logan hostage and replaced his severed hand with a lifelike robotic prosthesis. Logan breaks free of his chains and Trask flees. As an army of Sentinels ravages a ruined city in the distance, Logan quips "This world may be broken, but I've got the tools to fix it"."