diff --git a/.travis.yml b/.travis.yml
index 455c081..18e9944 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -4,15 +4,14 @@ sudo: false
 
 env:
   - NETTE=default
-  - NETTE=~2.3.0
-  - NETTE=~2.3.0 PREFER_LOWEST=true
   - NETTE=~2.4.0
   - NETTE=~2.4.0 PREFER_LOWEST=true
 
 php:
-  - 5.5
   - 5.6
   - 7.0
+  - 7.1
+  - 7.2
 
 matrix:
   fast_finish: true
diff --git a/composer.json b/composer.json
index db6e036..d962140 100644
--- a/composer.json
+++ b/composer.json
@@ -22,10 +22,10 @@
 		}
 	},
 	"require": {
-		"php": "~5.5|~7.0",
-		"nette/di": "~2.3,<2.5.0",
-		"nette/application": "~2.3,<2.5.0",
-		"vrtak-cz/newrelic-tracy": "~6.0.0"
+		"php": ">=5.6",
+		"nette/di": "~2.4",
+		"nette/application": "~2.4",
+		"vrtak-cz/newrelic-tracy": "^7.0"
 	},
 	"require-dev": {
 		"jakub-onderka/php-console-highlighter": "0.3.2",