diff --git a/tla-bmcmt/src/main/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/UninterpretedConstOracle.scala b/tla-bmcmt/src/main/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/UninterpretedConstOracle.scala
new file mode 100644
index 0000000000..92e5549c93
--- /dev/null
+++ b/tla-bmcmt/src/main/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/UninterpretedConstOracle.scala
@@ -0,0 +1,67 @@
+package at.forsyte.apalache.tla.bmcmt.stratifiedRules.aux.oracles
+
+import at.forsyte.apalache.tla.bmcmt._
+import at.forsyte.apalache.tla.bmcmt.smt.SolverContext
+import at.forsyte.apalache.tla.bmcmt.stratifiedRules.aux.caches.UninterpretedLiteralCache
+import at.forsyte.apalache.tla.bmcmt.stratifiedRules.{Rewriter, RewriterScope}
+import at.forsyte.apalache.tla.bmcmt.types.CellT
+import at.forsyte.apalache.tla.lir.ConstT1
+import at.forsyte.apalache.tla.typecomp.TBuilderInstruction
+import at.forsyte.apalache.tla.types.tla
+
+/**
+ * An oracle that uses a fixed collection of potential cells.
+ *
+ * The oracle value must be equal to one of the cells, if the collection is nonempty.
+ *
+ * @author
+ *   Jure Kukovec
+ */
+class UninterpretedConstOracle(val valueCells: Seq[ArenaCell], val oracleCell: ArenaCell) extends Oracle {
+
+  /**
+   * The number of values that this oracle is defined over: |valueCells|
+   */
+  override def size: Int = valueCells.size
+
+  override def chosenValueIsEqualToIndexedValue(scope: RewriterScope, index: BigInt): TBuilderInstruction =
+    if (valueCells.indices.contains(index)) tla.eql(oracleCell.toBuilder, valueCells(index.toInt).toBuilder)
+    else tla.bool(false)
+
+  def getIndexOfChosenValueFromModel(solverContext: SolverContext): BigInt =
+    // the oracle must be equal to one of the values. If not, indexWhere returns -1
+    valueCells.indexWhere { valueCell =>
+      val eq = tla.eql(valueCell.toBuilder, oracleCell.toBuilder)
+      solverContext.evalGroundExpr(eq) == tla.bool(true).build
+    }
+}
+
+object UninterpretedConstOracle {
+
+  /**
+   * Designated type to be used in this oracle.
+   */
+  val UNINTERPRETED_TYPE: ConstT1 = ConstT1("_ORA")
+
+  def create(
+      rewriter: Rewriter,
+      cache: UninterpretedLiteralCache,
+      scope: RewriterScope,
+      nvalues: Int): (RewriterScope, UninterpretedConstOracle) = {
+    require(nvalues >= 0, "UninterpretedConstOracle must have a non-negative number of candidate values.")
+    val (newArena, valueCells) =
+      0.until(nvalues).map(_.toString).foldLeft((scope.arena, Seq.empty[ArenaCell])) { case ((arena, cells), name) =>
+        val (newArena, newCell) = cache.getOrCreate(arena, (UNINTERPRETED_TYPE, name))
+        (newArena, cells :+ newCell)
+      }
+    val arenaWithCell = newArena.appendCell(CellT.fromType1(UNINTERPRETED_TYPE))
+    val newScope = scope.copy(arena = arenaWithCell)
+    val oracleCell = arenaWithCell.topCell
+    val oracle = new UninterpretedConstOracle(valueCells, oracleCell)
+
+    // the oracle value must be equal to one of the value cells, if there are any
+    if (nvalues > 0)
+      rewriter.assert(tla.or(0.until(nvalues).map(i => oracle.chosenValueIsEqualToIndexedValue(newScope, i)): _*))
+    (newScope, oracle)
+  }
+}
diff --git a/tla-bmcmt/src/test/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/TestIntOracle.scala b/tla-bmcmt/src/test/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/TestIntOracle.scala
index 56b99a5cf1..8485c3f3e4 100644
--- a/tla-bmcmt/src/test/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/TestIntOracle.scala
+++ b/tla-bmcmt/src/test/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/TestIntOracle.scala
@@ -47,7 +47,7 @@ class TestIntOracle extends AnyFunSuite with BeforeAndAfterEach with Checkers {
     check(prop, minSuccessful(100), sizeRange(4))
   }
 
-  test("oracleValueIsEqualToIndexedValue returns an integer comparison") {
+  test("chosenValueIsEqualToIndexedValue returns an integer comparison") {
     val prop =
       forAll(maxSizeAndIndexGen) { case (size, index) =>
         val (scope, oracle) = IntOracle.create(initScope, size)
diff --git a/tla-bmcmt/src/test/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/TestUninterpretedConstOracle.scala b/tla-bmcmt/src/test/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/TestUninterpretedConstOracle.scala
new file mode 100644
index 0000000000..6688fbc3df
--- /dev/null
+++ b/tla-bmcmt/src/test/scala/at/forsyte/apalache/tla/bmcmt/stratifiedRules/aux/oracles/TestUninterpretedConstOracle.scala
@@ -0,0 +1,168 @@
+package at.forsyte.apalache.tla.bmcmt.stratifiedRules.aux.oracles
+
+import at.forsyte.apalache.tla.bmcmt.PureArena
+import at.forsyte.apalache.tla.bmcmt.arena.PureArenaAdapter
+import at.forsyte.apalache.tla.bmcmt.smt.{SolverConfig, Z3SolverContext}
+import at.forsyte.apalache.tla.bmcmt.stratifiedRules.aux.caches.UninterpretedLiteralCache
+import at.forsyte.apalache.tla.bmcmt.stratifiedRules.{Rewriter, RewriterScope, TestingRewriter}
+import at.forsyte.apalache.tla.lir._
+import at.forsyte.apalache.tla.lir.oper.TlaOper
+import at.forsyte.apalache.tla.typecomp.TBuilderInstruction
+import at.forsyte.apalache.tla.types.tla
+import org.junit.runner.RunWith
+import org.scalacheck.Prop.forAll
+import org.scalacheck.{Gen, Prop}
+import org.scalatest.BeforeAndAfterEach
+import org.scalatest.funsuite.AnyFunSuite
+import org.scalatestplus.junit.JUnitRunner
+import org.scalatestplus.scalacheck.Checkers
+
+@RunWith(classOf[JUnitRunner])
+class TestUninterpretedConstOracle extends AnyFunSuite with BeforeAndAfterEach with Checkers {
+
+  var rewriter: Rewriter = TestingRewriter(Map.empty)
+  var cache: UninterpretedLiteralCache = new UninterpretedLiteralCache
+  var initScope: RewriterScope = RewriterScope.initial()
+
+  override def beforeEach(): Unit = {
+    rewriter = TestingRewriter(Map.empty)
+    cache = new UninterpretedLiteralCache
+    initScope = RewriterScope.initial()
+  }
+
+  val intGen: Gen[Int] = Gen.choose(-10, 10)
+  val nonNegIntGen: Gen[Int] = Gen.choose(0, 10)
+
+  val maxSizeAndIndexGen: Gen[(Int, Int)] = for {
+    max <- Gen.choose(1, 10) // size 0 is degenerate
+    idx <- Gen.choose(0, max - 1) // index must be <
+  } yield (max, idx)
+
+  test("Oracle cannot be constructed with negative size") {
+    val prop =
+      forAll(intGen) {
+        case i if i < 0 =>
+          Prop.throws(classOf[IllegalArgumentException]) {
+            UninterpretedConstOracle.create(rewriter, cache, initScope, i)
+          }
+        case i => UninterpretedConstOracle.create(rewriter, cache, initScope, i)._2.size == i
+      }
+
+    check(prop, minSuccessful(100), sizeRange(4))
+  }
+
+  test("chosenValueIsEqualToIndexedValue returns an equality, or shorthands") {
+    val prop =
+      forAll(Gen.zip(nonNegIntGen, intGen)) { case (size, index) =>
+        val (scope, oracle) = UninterpretedConstOracle.create(rewriter, cache, initScope, size)
+        val cmp: TlaEx = oracle.chosenValueIsEqualToIndexedValue(scope, index)
+        if (index < 0 || index >= size)
+          cmp == tla.bool(false).build
+        else
+          cmp match {
+            case OperEx(TlaOper.eq, NameEx(name1), NameEx(name2)) =>
+              name1 == oracle.oracleCell.toString && name2 == oracle.valueCells(index).toString
+            case _ => false
+          }
+      }
+
+    check(prop, minSuccessful(200), sizeRange(4))
+  }
+
+  val (assertionsA, assertionsB): (Seq[TBuilderInstruction], Seq[TBuilderInstruction]) = 0
+    .to(10)
+    .map { i =>
+      (tla.name(s"A$i", BoolT1), tla.name(s"B$i", BoolT1))
+    }
+    .unzip
+
+  test("caseAssertions requires assertion sequences of equal length") {
+    val assertionsGen: Gen[(Seq[TBuilderInstruction], Option[Seq[TBuilderInstruction]])] = for {
+      i <- Gen.choose(0, assertionsA.size)
+      j <- Gen.choose(0, assertionsB.size)
+      opt <- Gen.option(Gen.const(assertionsB.take(j)))
+    } yield (assertionsA.take(i), opt)
+
+    val prop =
+      forAll(Gen.zip(nonNegIntGen, assertionsGen)) { case (size, (assertionsIfTrue, assertionsIfFalseOpt)) =>
+        val (scope, oracle) = UninterpretedConstOracle.create(rewriter, cache, initScope, size)
+        if (assertionsIfTrue.size != oracle.size || assertionsIfFalseOpt.exists { _.size != oracle.size })
+          Prop.throws(classOf[IllegalArgumentException]) {
+            oracle.caseAssertions(scope, assertionsIfTrue, assertionsIfFalseOpt)
+          }
+        else true
+      }
+
+    check(prop, minSuccessful(200), sizeRange(4))
+  }
+
+  test("caseAssertions constructs a collection of ITEs, or shorthands") {
+    val gen: Gen[(Int, Seq[TBuilderInstruction], Option[Seq[TBuilderInstruction]])] = for {
+      size <- nonNegIntGen
+      opt <- Gen.option(Gen.const(assertionsB.take(size)))
+    } yield (size, assertionsA.take(size), opt)
+
+    val prop =
+      forAll(gen) { case (size, assertionsIfTrue, assertionsIfFalseOpt) =>
+        val (scope, oracle) = UninterpretedConstOracle.create(rewriter, cache, initScope, size)
+        val caseEx: TlaEx = oracle.caseAssertions(scope, assertionsIfTrue, assertionsIfFalseOpt)
+        size match {
+          case 0 =>
+            caseEx == PureArena.cellTrue(scope.arena).toBuilder.build
+          case 1 =>
+            caseEx == assertionsA.head.build
+          case _ =>
+            assertionsIfFalseOpt match {
+              case None =>
+                val ites = assertionsIfTrue.zip(oracle.valueCells).map { case (a, c) =>
+                  tla.ite(tla.eql(oracle.oracleCell.toBuilder, c.toBuilder), a, tla.bool(true))
+                }
+                caseEx == tla.and(ites: _*).build
+              case Some(assertionsIfFalse) =>
+                val ites = assertionsIfTrue.zip(assertionsIfFalse).zip(oracle.valueCells).map { case ((at, af), c) =>
+                  tla.ite(tla.eql(oracle.oracleCell.toBuilder, c.toBuilder), at, af)
+                }
+                caseEx == tla.and(ites: _*).build
+            }
+        }
+      }
+
+    check(prop, minSuccessful(200), sizeRange(4))
+  }
+
+  // We cannot test getIndexOfChosenValueFromModel without running the solver
+  // Ignored until we figure out why it's killing GH CLI
+  ignore("getIndexOfChosenValueFromModel recovers the index correctly for nonempty cell collection") {
+    val ctx = new Z3SolverContext(SolverConfig.default)
+    val paa = PureArenaAdapter.create(ctx) // We use PAA, since it performs the basic context initialization
+    initScope = initScope.copy(arena = paa.arena)
+    val prop =
+      forAll(maxSizeAndIndexGen) { case (size, index) =>
+        cache.dispose() // prevent redeclarations in every loop
+        val (scope, oracle) = UninterpretedConstOracle.create(rewriter, cache, initScope, size)
+        ctx.push()
+        oracle.valueCells.foreach(ctx.declareCell)
+        ctx.declareCell(oracle.oracleCell)
+        cache.addAllConstraints(ctx)
+        val eql = oracle.chosenValueIsEqualToIndexedValue(scope, index)
+        ctx.assertGroundExpr(eql)
+        ctx.sat()
+        val ret = oracle.getIndexOfChosenValueFromModel(ctx) == index
+        ctx.pop()
+        ret
+      }
+
+    // 1000 is too many, since each run invokes the solver
+    check(prop, minSuccessful(80), sizeRange(4))
+  }
+
+  test("getIndexOfChosenValueFromModel recovers the index correctly for empty collections") {
+    val ctx = new Z3SolverContext(SolverConfig.default)
+    val paa = PureArenaAdapter.create(ctx) // We use PAA, since it performs the basic context initialization
+    val (_, oracle) = UninterpretedConstOracle.create(rewriter, cache, initScope.copy(arena = paa.arena), 0)
+    ctx.declareCell(oracle.oracleCell)
+    ctx.sat()
+    assert(oracle.getIndexOfChosenValueFromModel(ctx) == -1)
+  }
+
+}