Spring batch complex conditional flow not working - spring-batch

Question

I want to run a 3 steps spring batch job juste like this :
run step1
if step1 returns COMPLETED exit status then run step2
else fail the job
if step2 returns COMPLETED exit status then run step3
else fail the job
if step3 returns COMPLETED exit status then end the job
else fail the job
I implemented my need like this :
.start(step1())
.on(ExitStatus.FAILED.getExitCode()).fail()
.on(ExitStatus.COMPLETED.getExitCode()).to(step2())
.from(step2())
.on(ExitStatus.FAILED.getExitCode()).fail()
.on(ExitStatus.COMPLETED.getExitCode()).to(step3())
.from(step3())
.on(ExitStatus.FAILED.getExitCode()).fail()
.on(ExitStatus.COMPLETED.getExitCode()).end()
All the three steps are nominale steps composed of a reader, a processor and writer. step 1 and 2 are writing into database and step 3 to a file, and all step listeners are returning the COMPLETED exit code (org.springframework.batch.core.ExitStatus#COMPLETED)
private Step step1() {
return stepBuilderFactory.get("step1")
.<Step1InClass, Step1OutClass>chunk(CHUNK_SIZE)
.reader(step1Reader())
.processor(step1Processor)
.writer(step1Writer)
.listener(step1Writer)
.listener(step1StepListener)
.taskExecutor(taskExecutor())
.allowStartIfComplete(true)
.build();
}
private Step step2() {
return stepBuilderFactory.get("step2")
.<Step2InClass, Step2OutClass>chunk(1)
.reader(step2Reader())
.processor(step2Processor())
.faultTolerant()
.skip(Exception.class)
.skipLimit(Integer.MAX_VALUE)
.writer(step2Writer)
.listener(step2Writer)
.listener(step2StepListener)
.taskExecutor(taskExecutor())
.allowStartIfComplete(true)
.build();
}
private Step step3() {
return stepBuilderFactory.get("step3")
.<step3InClass, step3OutClass>chunk(CHUNK_SIZE)
.reader(step3Reader())
.processor(step3Processor)
.writer(step3Writer()) // a fileFlatFileItemWriter
.listener(step3Listener)
.listener(step3StepListener)
.taskExecutor(taskExecutor())
.allowStartIfComplete(true)
.build();
}
This runs only step1 and step2 but not step3 !