diff --git a/Dockerfile b/Dockerfile
index c1ca911..4809204 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -2,5 +2,6 @@ FROM gerbil/alpine
 
 RUN gxpkg install github.com/dlozeve/fancy
 
-COPY sncf.ss .
-RUN gxc -exe -static -cc-options -static -ld-options -lz -o sncf sncf.ss
+COPY . .
+RUN ./build.ss
+RUN gxc -exe -static -cc-options -static -ld-options -lz -o sncf-static sncf.ss
diff --git a/README.org b/README.org
index d18cc73..75c6f83 100644
--- a/README.org
+++ b/README.org
@@ -64,8 +64,9 @@ Arguments:
 
 *** Static executable using Docker
 
-The build script will use Docker to build a fully static executable.
-The Dockerfile is based on the [[https://hub.docker.com/r/gerbil/alpine][gerbil/alpine]] image.
+The build script will use Docker to build a fully static executable
+=sncf-static= in the current directory.  The Dockerfile is based on
+the [[https://hub.docker.com/r/gerbil/alpine][gerbil/alpine]] image.
 
 #+begin_src sh
 ./build.sh
diff --git a/build.sh b/build.sh
index 4d22343..838612b 100755
--- a/build.sh
+++ b/build.sh
@@ -4,5 +4,5 @@ set -eux
 
 docker build . -t dlozeve/sncf-bot
 CONTAINER_ID=$(docker run -d dlozeve/sncf-bot)
-docker cp "$CONTAINER_ID":/src/sncf .
+docker cp "$CONTAINER_ID":/src/sncf-static sncf-static
 docker rm -f "$CONTAINER_ID"