When starting out in P vs NP: Proof by Combat, keep an escape route open before refining your weapon. Steam presents a top-down roguelite shooter in which shots and their paths can change through theorem mods. As waves grow denser, a weapon that is difficult to read can cost you a run even when it appears powerful.
The Steam page lists a release date of July 29, 2026 and a playtest. The advice below follows the announced mechanics.
Keep an escape route during the first waves
The centre of the arena quickly becomes dangerous as enemies and projectiles close in. Move in a wide arc, identify the nearest open space, and preserve a direction to follow before crossing a group.
- Enter while staying along one edge of your movement area.
- Identify an exit before moving towards a target.
- Make wide turns when pressure increases.
- Abandon an isolated target if it closes your last route.
Avoid sudden corrections that cut across your own projectile path. Shoot into the lane threatening your escape. You do not need to clear every corner of the arena.
Match each theorem mod to the threat
Steam states that theorem mods alter damage, fire rate, range, streams, piercing, and trajectory. Choose a mod for the problem in front of you, not for its appearance alone.
- If enemies remain in range too long, consider damage or fire rate.
- If targets arrive before being hit, try range or a suitable trajectory.
- If a line blocks your exit, piercing or an additional stream may help.
- If one angle remains difficult to cover, try a curved trajectory in a calm area.
A sine wave, Lissajous curve, or spiral will not solve every situation. These shapes change the area covered and may make the impact point harder to predict. Test them without trapping yourself in an enemy pattern.
Give the weapon one clear role
A control build aims to maintain distance through range and a predictable trajectory. A breakthrough build targets a closed route and can combine piercing with additional streams.
Fire rate and damage become more useful once you already have space. Do not add a new shape, more streams, and a different fire rate at the same time: you will no longer know which change improved the situation.
Cross theorem gates without losing your exit
The official description mentions theorem gates, implicit boundaries, swarms, and pressure patterns. Approach an area from an angle that leaves room to turn around. Your crosshair can follow the danger, but your movement should remain directed towards open space.
When the arena becomes crowded, reduce your decisions. Maintain your movement loop, clear the route blocking your exit, and do not chase every enemy. Repeating one simple decision cleanly is often safer than attempting a risky elimination.
Check your PC setup
Steam publishes system requirements for Windows, macOS, and SteamOS/Linux. On Windows, the listed minimum includes 64-bit Windows 10, 4 GB of RAM, and an OpenGL 3.3 or Direct3D 11-compatible graphics card. The recommendation rises to 8 GB of RAM and a dedicated OpenGL 4.6-compatible GPU.
An unstable frame rate makes projectile paths harder to read. Check your setup before judging a build. The page also lists single-player, Steam Achievements, Steam Cloud, stats, and leaderboards.
Avoid the early-run traps
The first mistake is confusing projectile quantity with control. A dense volley can clear a swarm, but it becomes a liability if it hides a boundary or a dangerous shot. Another is replacing a coherent mod whenever a more spectacular option appears.
Do not rush a death for the announced permanent unlocks. A longer run reveals enemy patterns and your weapon's real weakness. The latest news, jeu.vidéo articles, and esports features remain available for following the topics that interest you on the site.
Availability and information on the page may change. Check the official Steam page and the official Steam hub for game-related announcements.
Frequently asked questions
Which mod should I choose when enemies get too close?
Choose the option that creates space again. Range helps keep targets away, while damage or fire rate can help when they are close to being defeated.
When should I take an additional projectile stream?
Take it when a line of enemies often closes your route. Skip it if the extra shots make your escape path harder to read.
Are spiral shots better than straight shots?
No. Steam confirms varied trajectories without stating that any shape is universally superior. Keep the one whose covered area you can read best.
In what order should I improve my weapon's properties?
Address your main problem first, then add an improvement that reinforces the same role. Change only one parameter at a time.
What should I do when a theorem gate blocks my path?
Enter from an angle that leaves room to turn around, keep moving, and shoot into the lane threatening your exit. To check playtest availability or updates, visit the official Steam page and the official Steam hub, which centralise information related to application 4761900.
To keep following the topic, also see our article on Alpha Nomos: the build to try in the Steam demo for, our article on Balatro for beginners: secure your first runs with a.
Verified sources
These links allow you to verify the key information used in this article.
- store.steampowered.com: Steam, official page consulted on 2026-07-29: confirms developer and publisher Willy, the displayed date of 2026-07-29, the playtest, PC platforms, system requirements, and announced mechanics.
- steamcommunity.com: Official Steam Community Hub, consulted on 2026-07-29: official place to follow announcements and discussions associated with Steam application 4761900.
