After learning that Skyresh Bolgolam (the admiral), Flimnap (the treasurer), Limtoc (the general), Lalcon (the chamberlain), and Balmuff (the chief justice of Lilliput) have issued articles of impeachment for treason against him, Gulliver escapes from Lilliput by crossing the channel to Blefuscu.

Shortly before Gulliver plans to visit Blefuscu, a friend comes to visit Gulliver and informs him of the Articles written against him by which his enemies plan to impeach him. Among these are his having put out the fire in the rooms of the Empress with his urine (it is treasonous to urinate in the palace). When the Emperor wanted Gulliver to destroy the boats of Blefuscu, take its lands, and execute Lilliputian Big-Endian exiles and anyone who would not convert to Little-Endianism, Gulliver refused, so this action is also considered treasonous. Gulliver learns, too, that the Lilliputians plan to starve him in order to be rid of him, but he does not learn of their additional plan to blind him. Also, Gulliver discovers some things about Lilliput that are wrong.

When Gulliver crosses the channel, he does not inform the emperor of Blefuscu that he has fallen out of favor in Lilliput and that many are against him.

Gulliver escapes from Lilliput by, first, visiting Blefuscu. He is treated very well there, and the king does not seem nearly as warlike and unreasonable as the emperor of Lilliput. Gulliver learns of the plot against him in Lilliput, that he has been branded a traitor and that the emperor and his vicious advisers have devised a way to execute him for his crimes against the state (which include such charges as urinating on the palace to put the fire out as well as Gulliver's refusal to decimate the Blefuscudian fleet when asked to do so by the emperor). He is essentially granted asylum in Blefuscu, and the king there provides him with resources to repair a boat he finds offshore. It is in this boat that he eventually escapes this land of tiny people and makes his way home, back to England.

In Jonathan Swift's Gulliver's Travels, how does Lemuel Gulliver plan to escape the Lilliputians' bonds?  

Lemuel Gulliver must surely have been astonished to awaken after a shipwreck to find himself tied down with a series of slender ropes. Even his hair was tied down so that he could not even turn his head to see where he might be and how he came to be tied to the ground.

He felt the Lilliputians before he saw them as they walked over his chest. He yelled (or screamed) at the sight of six inch humans, and they tumbled down. After that, Gulliver struggled and eventually broke the strings and free his arms and legs. As he worked to free his hair, the Lilliputians pelleted him with arrows until he decided the best course of action would be to lie still until they left and then complete the task of freeing himself.

Of course, the thing could not be done so easily, and it took a great deal of time and a promise to be a cooperative prisoner before the Lilliputions finally cut the rest of the bonds.