This FOL sentence is
$$∀x, y (\operatorname{Country}(x) ∧ \operatorname{Country}(y) ∧ \operatorname{Borders}(x, y)) \implies \operatorname{MapColor}(x = y)$$
mean No two adjacent countries have the same map color ? Right or wrong?
This FOL sentence is
$$∀x, y (\operatorname{Country}(x) ∧ \operatorname{Country}(y) ∧ \operatorname{Borders}(x, y)) \implies \operatorname{MapColor}(x = y)$$
mean No two adjacent countries have the same map color ? Right or wrong?
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Making $3$ alterations to your suggestion: $$∀x, y [\operatorname{Country}(x) ∧ \operatorname{Country}(y) ∧ \operatorname{Borders}(x, y) ∧ x\ne y \implies [\operatorname{MapColor}(x)\ne\operatorname{MapColor}(y)]]$$ translates to "No two adjacent countries have the same map color".