I came across set -e for Bash scripts but had problems understanding what happens regarding the evaluation of the command following the last && or || in a && or || list. I know of the following quote from http://man7.org/linux/man-pages/man1/bash.1.html about set -e:
The shell does not exit if the command that fails is (...) part of
any command executed in a && or || list except the command
following the final && or || (...)
To test this, I wrote a small Bash script:
#!/bin/bash
bash -c "set -e ; true ; echo -n A"
bash -c "set -e ; false ; echo -n B"
bash -c "set -e ; true && true ; echo -n C"
bash -c "set -e ; true && false ; echo -n D"
bash -c "set -e ; false && true ; echo -n E"
bash -c "set -e ; false && false ; echo -n F"
bash -c "set -e ; true || true ; echo -n G"
bash -c "set -e ; true || false ; echo -n H"
bash -c "set -e ; false || true ; echo -n I"
bash -c "set -e ; false || false ; echo -n J"
echo ""
It prints:
ACEFGHI
About A:
true does not have a non-zero status. Therefore, the shell doesn't exit.
About B:
false does have a non-zero status and is not part of a && or || list. Therefore, the shell exits.
About C:
This is a && or || list. We will have to look at the command following the last && or ||. The command is true which does not have a non-zero status. So it doesn't matter if the command is evaluated or not - the shell doesn't exit either way.
About D:
This is a && or || list. We will have to look at the command following the last && or ||. This time, the command is false which does have a non-zero status. So we have to check if that false is being evaluated - which is indeed the case since && is following the true. Therefore, the shell exits.
About E:
Same reasoning as with C: true is the command following the last && or ||. Therefore, the shell doesn't exit.
About F:
Similar to D: This is a && or || list. We will have to look at the command following the last && or ||. Again the command is false which does have a non-zero status. But this time it doesn't matter, because the first command is false as well. Since it's a && list, the second false won't be evaluated. Therefore, the shell doesn't exit.
About G:
Same reasoning as with C or E: true is the command following the last && or ||. Therefore, the shell doesn't exit.
About H:
This is a && or || list. We will have to look at the command following the last && or ||. This command is false which does have a non-zero status, but it won't be evaluated since || is preceded by true. Therefore, the shell doesn't exit.
About I:
Same reasoning as with C, E or G: true is the command following the last && or ||. Therefore, the shell doesn't exit.
About J:
This is a && or || list. We will have to look at the command following the last && or ||. This command is false which does have a non-zero status. Since || is preceded by false the second false will be evaluated. Therefore, the shell does exit.
You should be able to apply these test cases to your case: true && false && true. Since the command following the last && or || is true which doesn't have a non-zero status, it doesn't matter what precedes && or ||, the shell won't exit either way.