Short answer. No. Under Article 837, revoking the second will — the one that expressly cancelled your earlier will — does not bring the first will back to life. The Civil Code rejects automatic revival. The earlier will can be revived only by making another will or a codicil that does so.
What the law says
the revocation of the second will does not revive the first will, which can be revived only by another will or codicil
Civil Code, Article 837 — No Automatic Revival. Read the full provision →
The rule against automatic revival
It is tempting to think that cancelling a cancellation restores what was cancelled. Article 837 says otherwise for wills. If after making a will, the testator makes a second will expressly revoking the first, the revocation of the second will does not revive the first will, which can be revived only by another will or codicil. So once a first will has been expressly revoked by a second, striking down that second will leaves a gap: the first does not spring back on its own. This is the Code's rejection of any doctrine that would let the earlier document simply resume force by itself.
Why the law insists on a fresh act
The reason is respect for the testator's true intention. Merely revoking the later will tells us the testator no longer wants the second document; it does not clearly tell us they now want the first one back. Rather than guess, the Code requires a fresh, deliberate act. To restore the earlier will's provisions, the testator must make another will or codicil — a new expression of testamentary intent, executed with the required formalities — that revives or re-adopts them. This ensures revival happens only when the testator has plainly chosen it, not by accident of timing.
How to actually bring the first will back
If you want your earlier will to govern again, the practical path is to execute a new testamentary instrument saying so. A codicil is a supplement to a will; a new will can also do it. Either one, properly made, can revive the earlier dispositions by clearly stating that intention. Simply tearing up or revoking the second will is not enough. Nor is telling family members what you prefer. The revival must live in a validly executed will or codicil, or the earlier document stays without effect.
What happens if you do nothing
If the second will is revoked and no new will or codicil revives the first, neither document controls the estate as you may have intended. The earlier will does not operate, and the revoked second will does not either. The estate may then pass under whatever other valid will exists, or, failing that, by the rules of intestate succession — the default order the law applies when there is no effective will. That result can be very different from what either of your wills wanted, which is why the revival step should never be left to assumption.