<?php

$woman_always_right = true;
$man_always_wrong = true;

$man_says = "The woman is right";

if ($man_always_wrong) {
    $man_statement_is_true = false;
} else {
    $man_statement_is_true = $woman_always_right;
}

echo "The man said: \"$man_says\"\n";
echo "Is he telling the truth? ";
echo $man_statement_is_true ? "Yes" : "No";

<?php

$woman_always_right = true;
$man_always_wrong = true;

$man_says = "The woman is right";

if ($man_always_wrong) {
    $man_statement_is_true = false;
} else {
    $man_statement_is_true = $woman_always_right;
}

echo "The man said: \"$man_says\"\n";

if ($man_statement_is_true === $woman_always_right) {
    echo "Is he telling the truth? ...Well, that's a paradox.\n";
    echo "Maybe yes. Maybe no. Maybe both.";
} else {
    echo "This statement cannot be determined logically.";
}