XolverOBSERVATORY

Analysis

Overview Domains Content map Evolution Compare Unique capability Experiments

Solver domains

SMT OMT CP MILP SAT · MaxSAT QBF SyGuS · CHC

Design dataset7 domains · content map v2

Loading experiment data

Resolving capability…

Contacting the configured Observatory adapter.

∀x⊢Γ ⊨ φφ

Research in progress

Proof in progress

Observatory is preparing and verifying real benchmark data. Public numbers will be released only after that verification is complete. Placeholder and test results stay hidden until then.

Xolver Observatory

Γ ⊢ φ · results withheld until ⊨ verified

Information architecture

Map of Content

A navigable map from Xolver reasoning paradigms to domain-native capability, cross-cutting analysis, and reproducible evidence.

Browse domain catalog

Design datasetScenario data · representative multi-domain content for interface and information-architecture validation

21 Aug 2026, 05:00

MOC · ROOT

Xolver Observatory

Capability, correctness, performance, and evolution across multiple solving paradigms.

7 domains 33 tracks 4 analysis views

01Reasoning domainsChoose by intent

G1

Decision & satisfiability

Determine whether formulas and quantified constraints admit a model.

SAT · MaxSATBeta

Boolean Satisfiability

SAT Competition · MaxSAT · Pseudo-Boolean · +1

Satisfiability Modulo Theories

QF_NRA · QF_NIA · QF_NIRA · +3

Quantified Boolean Formulas

2QBF · Prenex CNF · Non-prenex · +1

G2

Optimization

Search for provably better or optimal solutions under symbolic and numeric constraints.

Optimization Modulo Theories

OMT(LIA) · OMT(LRA) · OMT(NIA) · +2

MILPPreview

Mixed-Integer Linear Programming

MIPLIB · 0–1 ILP · Network flow · +2

G3

Combinatorial solving

Model finite-domain structure, propagation, scheduling, and discrete search.

Constraint Programming

CSP · COP · Scheduling · +2

G4

Synthesis & verification

Construct programs, invariants, and explanations rather than returning a decision alone.

SyGuS · CHCPlanned

Synthesis and Constrained Horn Clauses

SyGuS · CHC · Invariant synthesis · +1

02Analysis viewsApply across domains

Capability and performance across comparable revisions.

Open view →A2Compare

Exact gains, losses, and runtime deltas between experiments.

Open view →A3Unique capability

Benchmark-level disagreements against established baselines.

Open view →A4Experiment registry

Immutable artifacts, suites, limits, hardware, and hashes.

Open view →

03Evidence layerResolve every claim

Benchmark evidence

Suites, families, expected outcomes, and benchmark-level results.

Experiment identity

Artifacts, hashes, configurations, resource limits, and hardware profiles.

Change evidence

New capability, regressions, correctness changes, and runtime movement.

Baseline evidence

Applicable competing solvers and explicit N/A semantics by domain.

Reading paths

Four common ways through the Observatory

01

Discover

Overview → Domain → TrackStart broad, then narrow to one theory or problem family.

02

Investigate

Evolution → Compare → BenchmarksExplain exactly which change moved measured capability.

03

Reproduce

Experiment → Artifact → EnvironmentResolve every public number to immutable execution inputs.

04

Research

Unique capability → Gap → BacklogTurn solver disagreements into concrete research questions.