diff --git a/src/Type/IntersectionType.php b/src/Type/IntersectionType.php
index f5dceab600..a300794a53 100644
--- a/src/Type/IntersectionType.php
+++ b/src/Type/IntersectionType.php
@@ -304,6 +304,13 @@ public function isAcceptedBy(Type $acceptingType, bool $strictTypes): AcceptsRes
 			static fn (Type $innerType) => $acceptingType->accepts($innerType, $strictTypes),
 		);
 
+		if ($result->yes()) {
+			$isSuperType = $acceptingType->isSuperTypeOf($this);
+			if ($isSuperType->no()) {
+				return $isSuperType->toAcceptsResult();
+			}
+		}
+
 		if ($this->isOversizedArray()->yes()) {
 			if (!$result->no()) {
 				return AcceptsResult::createYes();
diff --git a/tests/PHPStan/Rules/Methods/CallMethodsRuleTest.php b/tests/PHPStan/Rules/Methods/CallMethodsRuleTest.php
index 9a2a8e1a9f..8c7e7a0aeb 100644
--- a/tests/PHPStan/Rules/Methods/CallMethodsRuleTest.php
+++ b/tests/PHPStan/Rules/Methods/CallMethodsRuleTest.php
@@ -4017,4 +4017,41 @@ public function testBug13272(): void
 		$this->analyse([__DIR__ . '/data/bug-13272.php'], []);
 	}
 
+	public function testBug14549(): void
+	{
+		$this->checkThisOnly = false;
+		$this->checkNullables = true;
+		$this->checkUnionTypes = true;
+		$this->analyse([__DIR__ . '/data/bug-14549-bis.php'], [
+			[
+				'Parameter #1 $param of method Bug14549Bis\Foo::callArrayInt() expects array<int>, array&callable given.',
+				33,
+			],
+			[
+				'Parameter #1 $param of method Bug14549Bis\Foo::callConstantArrayStringString() expects array{string, string}, array&callable(): mixed given.',
+				34,
+			],
+			[
+				'Parameter #1 $param of method Bug14549Bis\Foo::callConstantArrayObjectOrStringStringString() expects array{object|string, string, string}, array&callable(): mixed given.',
+				36,
+			],
+			[
+				'Parameter #1 $param of method Bug14549Bis\Foo::callArrayInt() expects array<int>, array&callable given.',
+				44,
+			],
+			[
+				'Parameter #1 $param of method Bug14549Bis\Foo::callConstantArrayStringString() expects array{string, string}, array&callable(): mixed given.',
+				45,
+			],
+			[
+				'Parameter #1 $param of method Bug14549Bis\Foo::callConstantArrayObjectOrStringStringString() expects array{object|string, string, string}, array&callable(): mixed given.',
+				47,
+			],
+			[
+				'Parameter #1 $param of method Bug14549Bis\Foo::callArrayString() expects array<string>, array given.',
+				58,
+			],
+		]);
+	}
+
 }
diff --git a/tests/PHPStan/Rules/Methods/data/bug-14549-bis.php b/tests/PHPStan/Rules/Methods/data/bug-14549-bis.php
new file mode 100644
index 0000000000..ea38ed6806
--- /dev/null
+++ b/tests/PHPStan/Rules/Methods/data/bug-14549-bis.php
@@ -0,0 +1,63 @@
+<?php
+
+namespace Bug14549Bis;
+
+class Foo
+{
+
+	/** @param array<int> $param */
+	public function callArrayInt(array $param): void
+	{
+	}
+
+	/** @param array{string, string} $param */
+	public function callConstantArrayStringString(array $param): void
+	{
+	}
+
+	/** @param array{object|string, string} $param */
+	public function callConstantArrayObjectOrStringString(array $param): void
+	{
+	}
+
+	/** @param array{object|string, string, string} $param */
+	public function callConstantArrayObjectOrStringStringString(array $param): void
+	{
+	}
+
+	/**
+	 * @param callable-array $task
+	 */
+	public function doCallWithCallableArray(array $task): void
+	{
+		$this->callArrayInt($task);
+		$this->callConstantArrayStringString($task);
+		$this->callConstantArrayObjectOrStringString($task);
+		$this->callConstantArrayObjectOrStringStringString($task);
+	}
+
+	/**
+	 * @param callable&array $task
+	 */
+	public function doCallWithCallableAndArray(array $task): void
+	{
+		$this->callArrayInt($task);
+		$this->callConstantArrayStringString($task);
+		$this->callConstantArrayObjectOrStringString($task);
+		$this->callConstantArrayObjectOrStringStringString($task);
+	}
+
+	/** @param array<string> $param */
+	public function callArrayString(array $param): void
+	{
+	}
+
+	public function doCallWithHasOffsetValue(array $arr): void
+	{
+		if (isset($arr[1]) && $arr[1] === 1) {
+			$this->callArrayString($arr);
+			$this->callArrayInt($arr);
+		}
+	}
+
+}