diff --git a/src/translate/verify_properties.rs b/src/translate/verify_properties.rs
index a072ef8..3be97ef 100644
--- a/src/translate/verify_properties.rs
+++ b/src/translate/verify_properties.rs
@@ -18,6 +18,9 @@ struct Definitions
 
 struct Context
 {
+	pub definitions: std::collections::BTreeMap::<std::rc::Rc<foliage::PredicateDeclaration>, Definitions>,
+	pub integrity_constraints: foliage::Formulas,
+
 	pub function_declarations: foliage::FunctionDeclarations,
 	pub predicate_declarations: foliage::PredicateDeclarations,
 	pub variable_declaration_stack: foliage::VariableDeclarationStack,
@@ -29,6 +32,8 @@ impl Context
 	{
 		Self
 		{
+			definitions: std::collections::BTreeMap::<_, _>::new(),
+			integrity_constraints: vec![],
 			function_declarations: foliage::FunctionDeclarations::new(),
 			predicate_declarations: foliage::PredicateDeclarations::new(),
 			variable_declaration_stack: foliage::VariableDeclarationStack::new(),
@@ -98,6 +103,16 @@ pub fn translate(program: &str) -> i32
 	}
 }
 
+fn universal_closure(scoped_formula: ScopedFormula) -> foliage::Formula
+{
+	match scoped_formula.free_variable_declarations.is_empty()
+	{
+		true => scoped_formula.formula,
+		false => foliage::Formula::for_all(scoped_formula.free_variable_declarations,
+			Box::new(scoped_formula.formula)),
+	}
+}
+
 fn read_rule(rule: &clingo::ast::Rule, context: &mut Context) -> Result<(), crate::Error>
 {
 	use super::common::FindOrCreatePredicateDeclaration;
@@ -105,9 +120,6 @@ fn read_rule(rule: &clingo::ast::Rule, context: &mut Context) -> Result<(), crat
 	let head_type = determine_head_type(rule.head(),
 		|name, arity| context.predicate_declarations.find_or_create(name, arity))?;
 
-	let mut definitions
-		= std::collections::BTreeMap::<std::rc::Rc<foliage::PredicateDeclaration>, Definitions>::new();
-
 	let declare_predicate_parameters = |predicate_declaration: &foliage::PredicateDeclaration|
 	{
 		std::rc::Rc::new((0..predicate_declaration.arity)
@@ -115,13 +127,14 @@ fn read_rule(rule: &clingo::ast::Rule, context: &mut Context) -> Result<(), crat
 			.collect())
 	};
 
-	match head_type
+	match &head_type
 	{
-		HeadType::SingleAtom(head_atom) =>
+		HeadType::SingleAtom(head_atom)
+		| HeadType::ChoiceWithSingleAtom(head_atom) =>
 		{
-			if !definitions.contains_key(&head_atom.predicate_declaration)
+			if !context.definitions.contains_key(&head_atom.predicate_declaration)
 			{
-				definitions.insert(std::rc::Rc::clone(&head_atom.predicate_declaration),
+				context.definitions.insert(std::rc::Rc::clone(&head_atom.predicate_declaration),
 					Definitions
 					{
 						head_atom_parameters: declare_predicate_parameters(&head_atom.predicate_declaration),
@@ -129,7 +142,7 @@ fn read_rule(rule: &clingo::ast::Rule, context: &mut Context) -> Result<(), crat
 					});
 			}
 
-			let definitions = definitions.get_mut(&head_atom.predicate_declaration).unwrap();
+			let definitions = context.definitions.get_mut(&head_atom.predicate_declaration).unwrap();
 
 			context.variable_declaration_stack.push(std::rc::Rc::clone(
 				&definitions.head_atom_parameters));
@@ -140,6 +153,18 @@ fn read_rule(rule: &clingo::ast::Rule, context: &mut Context) -> Result<(), crat
 
 			assert_eq!(definitions.head_atom_parameters.len(), head_atom.arguments.len());
 
+			if let HeadType::ChoiceWithSingleAtom(_) = head_type
+			{
+				let head_arguments = definitions.head_atom_parameters.iter()
+					.map(|x| Box::new(foliage::Term::variable(x)))
+					.collect::<Vec<_>>();
+
+				let head_predicate = foliage::Formula::predicate(&head_atom.predicate_declaration,
+					head_arguments);
+
+				definition_arguments.push(Box::new(head_predicate));
+			}
+
 			let mut head_atom_arguments_iterator = head_atom.arguments.iter();
 
 			for head_atom_parameter in definitions.head_atom_parameters.iter()
@@ -168,15 +193,36 @@ fn read_rule(rule: &clingo::ast::Rule, context: &mut Context) -> Result<(), crat
 				formula: definition,
 			};
 
-			log::trace!("translated rule with single atom in head: {:?}", definition.formula);
+			log::debug!("translated rule with single atom in head: {:?}", definition.formula);
 
 			definitions.definitions.push(definition);
 		},
-		HeadType::ChoiceWithSingleAtom(_) =>
-			log::debug!("translating choice rule with single atom"),
 		HeadType::IntegrityConstraint =>
-			log::debug!("translated integrity constraint"),
-		HeadType::Trivial => log::debug!("skipping trivial rule"),
+		{
+			let arguments = translate_body(rule.body(),
+				&mut context.function_declarations, &mut context.predicate_declarations,
+				&mut context.variable_declaration_stack)?;
+
+			let mut free_variable_declarations = vec![];
+
+			std::mem::swap(&mut context.variable_declaration_stack.free_variable_declarations,
+				&mut free_variable_declarations);
+
+			let and = foliage::Formula::and(arguments);
+			let not = foliage::Formula::not(Box::new(and));
+			let scoped_formula = ScopedFormula
+			{
+				free_variable_declarations,
+				formula: not,
+			};
+
+			let integrity_constraint = universal_closure(scoped_formula);
+
+			log::debug!("translated integrity constraint: {:?}", integrity_constraint);
+
+			context.integrity_constraints.push(Box::new(integrity_constraint));
+		},
+		HeadType::Trivial => log::info!("skipping trivial rule"),
 	}
 
 	Ok(())