Question: The Ulm Campaign helped the Germans develop what plan behind the German invasion of France and Belgium in 1914?

Context paragraphs:
Reserve Cavalry Corps (Grande Armée): The Reserve Cavalry Corps or Cavalry Reserve of the "Grande Armée" was the name of a French military formation that existed during the Napoleonic Wars.  In 1805, Emperor Napoleon appointed Marshal Joachim Murat to command all the cavalry divisions that were not directly attached to the Army Corps.  During the Ulm Campaign, Murat led his horsemen in successfully hunting down many Austrian Empire units that escaped the Capitulation of Ulm.  Murat's horsemen fought at Austerlitz in December 1805.  Under Murat, the Cavalry Reserve played a prominent role in the destruction of the Kingdom of Prussia's armies after the Battle of Jena-Auerstadt in 1806.  Five dragoon divisions of the corps were employed in the Peninsular War starting in 1808 and placed under the overall command of Marshal Jean-Baptiste Bessières.  The Cavalry Reserve was reassembled in 1809 to fight Austria with Bessières still in command.  In 1812 the Reserve Cavalry Corps was split up into the I, II, III, and IV Cavalry Corps for the French invasion of Russia.

Ulm Campaign: The Ulm Campaign was a series of French and Bavarian military maneuvers and battles to outflank and capture an Austrian army in 1805 during the War of the Third Coalition.  It took place in the vicinity of and inside the Swabian (then Bavarian) city of Ulm.  The French Grande Armée, led by Napoleon Bonaparte, comprised 210,000 troops organized into seven corps, and hoped to knock out the Austrian army in the Danube before Russian reinforcements could arrive.  Through rapid marching, Napoleon conducted a large wheeling maneuver that captured an Austrian army of 23,000 under General Mack on 20 October at Ulm, bringing the total number of Austrian prisoners in the campaign to 60,000.  The campaign is generally regarded as a strategic masterpiece and was influential in the development of the Schlieffen Plan in the late 19th century.

Battle of Liège: The Battle of Liège (French: "Bataille de Liège" ) was the opening engagement of the German invasion of Belgium and the first battle of World War I.  The attack on Liège city began on 5 August 1914 and lasted until 16 August, when the last fort surrendered.  The length of the siege of Liège may have delayed the German invasion of France by 4–5 days.  Railways needed by the German armies in eastern Belgium were closed for the duration of the siege and German troops did not appear in strength before Namur until 20 August.

Battle of Elchingen: The Battle of Elchingen, fought on 14 October 1805, saw French forces under Michel Ney rout an Austrian corps led by Johann Sigismund Riesch.  This defeat led to a large part of the Austrian army being invested in the fortress of Ulm by the army of Emperor Napoleon I of France while other formations fled to the east.  Soon afterward, the Austrians trapped in Ulm surrendered and the French mopped up most of the remaining Austrians forces, bringing the Ulm Campaign to a close.

German invasion of Belgium: The German invasion of Belgium was a military campaign which began on 4 August 1914.  Earlier, on 24 July, the Belgian government had announced that if war came it would uphold its historic neutrality.  The Belgian government mobilised its armed forces on 31 July and a state of heightened alert ("Kriegsgefahr" ) was proclaimed in Germany.  On 2 August, the German government sent an ultimatum to Belgium, demanding passage through the country and German forces invaded Luxembourg.  Two days later, the Belgian Government refused the demands and the British Government guaranteed military support to Belgium.  The German government declared war on Belgium on 4 August, troops crossed the border and attacked the Belgian city of Liège.

Fortified position of Liège: The fortified position of Liège was established following World War I by Belgium to block the traditional invasion corridor from Germany through Belgium to France.  The Belgian experience of World War I, in which the Belgian Army held up the invading force for a week at Liège, impeding the German timetable for the conquest of France, caused Belgium to consider a refined defence strategy.  Belgium upgraded the existing fortifications of Liège and extended them onto the Herve plateau closer to Germany, using the most advanced fortifications available to Belgian military technology.  However, in 1936, Belgium's neutrality was proclaimed by King Leopold III of Belgium in a vain attempt to forestall another conflict, preventing France from being able to make active use of the Belgian defences and territory in the forward defence of France.  At the outbreak of World War II, Belgium's defences had to resist alone until France could advance into Belgium after neutrality failed.  Again the fortifications could not hold the Germans.

Schlieffen Plan: The Schlieffen Plan (German: "Schlieffen-Plan" , ] ) was the name given after World War I to the thinking behind the German invasion of France and Belgium on 4 August 1914.  Field Marshal Alfred von Schlieffen, the Chief of the Imperial Army German General Staff from 1891 to 1906, devised a deployment plan for a war-winning offensive, in a one-front war against the French Third Republic from 1905–06.  After the war, the German official historians of the "Reichsarchiv" and other writers, described the plan as a blueprint for victory.  German historians claimed that the plan had been ruined by "Generaloberst" (Colonel-General) Helmuth von Moltke the Younger, the Commander-in-Chief of the German army after Schlieffen retired in 1906, who was dismissed after the First Battle of the Marne (5–12 September 1914).

Battle of Ulm: The Battle of Ulm on 16–19 October 1805 was a series of skirmishes, at the end of the Ulm Campaign, which allowed Napoleon I to trap an entire Austrian army under the command of Karl Freiherr Mack von Leiberich with minimal losses and to force its surrender near Ulm in the Electorate of Bavaria.

9th Light Infantry Regiment: The 9th Light Infantry Regiment (9e régiment d’infanterie légère) was a French army regiment.  One of the most notable infantry regiments in the Napoleonic Wars, it was awarded the title "Incomparable" by Napoleon Bonaparte after their brilliant performance at the Battle of Marengo on 14 June 1800.  The regiment went on to serve with distinction in the [Ulm Campaign], at the Battle of Dürenstein (11 November 1805), the Jena Campaign (1806), and the Battle of Friedland (14 June 1807).  The regiment then served in the Peninsular War taking a notable role at the Battle of Talavera 27–28 July 1809 and the Siege of Badajoz (1812).  Battalions from the regiment also fought on the Wagram Campaign (1809), at the Battle of Leipzig (16–19 October 1813), and Napoleon’s campaigns in France (1814).  During the Hundred Days the 9th Light fought at Battle of Ligny (16 June 1815) and the Battle of Wavre (18–19 June 1815).  The regiment was disbanded in the aftermath of the Bourbon Restoration.

Operation Green (Ireland): Operation Green (German: "Unternehmen Grün" ) often also referred to as Case Green ("Fall Grün" ) or Plan Green ("Plan Grün" ), was a full-scale operations plan for a Nazi German invasion of Ireland in support of Operation Sea Lion ("Unternehmen Seelöwe" ), the invasion of the United Kingdom, during World War II.  Despite its detailed nature, Green is thought to have been designed only as a credible threat, a feint, not an actual operation.  Plan W, a planned occupation of all of the state by the British Armed Forces, was drafted by the British military in secret liaison with the Irish government to counteract any German invasion.

Supporting paragraphs: Ulm Campaign Schlieffen Plan
Answer: The Schlieffen Plan