XolverOBSERVATORY

Analysis

OverviewDomainsContent mapEvolutionCompareUnique capabilityExperiments

Solver domains

SMTOMTCPMILPSAT · MaxSATQBFSyGuS · CHC
Design dataset7 domains · content map v2

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∀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.

XolverObservatory

Γ ⊢ φ  ·  results withheld until ⊨ verified

Capability architecture

Solver domains

Xolver is organized as a portfolio of reasoning engines with a shared experiment contract and domain-specific evidence.

Open Map of Content
Design datasetScenario data · representative multi-domain content for interface and information-architecture validation
21 Aug 2026, 05:00

Domain catalog

Seven initial surfaces, one extensible interface system

Stable

Logical decision procedures

SMT

Satisfiability Modulo Theories

Decision procedures across arithmetic, bit-vectors, arrays, floating point, and combined theories.

Coverage91.2%
6SMT-LIB logics42,680instances0wrong
Nonlinear arithmetic remains the strongest verified capability.Open domain →
Beta

Theory-aware optimization

OMT

Optimization Modulo Theories

Optimal models, lexicographic and Pareto objectives, and MaxSMT over rich background theories.

Coverage87.1%
5objective familys15,200instances1wrong
Pareto optimization now shares the same theory engines as SMT.Open domain →
Preview

Combinatorial search

CP

Constraint Programming

Finite-domain constraints, global propagators, scheduling, routing, and discrete optimization.

Coverage83.5%
5problem familys28,600instances0wrong
Scheduling propagators deliver the largest gain in the current campaign.Open domain →
Preview

Mathematical optimization

MILP

Mixed-Integer Linear Programming

Linear relaxations, branch-and-bound, cutting planes, and mixed discrete-continuous models.

Coverage81.0%
5model classs18,750instances2wrong
Presolve and network detection close most of the structured-model gap.Open domain →
Beta

Propositional reasoning

SAT · MaxSAT

Boolean Satisfiability

SAT, weighted and unweighted MaxSAT, pseudo-Boolean optimization, and core extraction.

Coverage91.1%
4competition tracks25,000instances0wrong
Proof-producing SAT is the most mature non-SMT execution path.Open domain →
Planned

Quantified reasoning

QBF

Quantified Boolean Formulas

Alternating quantifiers, dependency-aware reasoning, expansion, and quantified proof search.

Coverage68.8%
4quantifier fragments11,700instances1wrong
Dependency-aware expansion is entering reproducible evaluation.Open domain →
Planned

Constructive reasoning

SyGuS · CHC

Synthesis and Constrained Horn Clauses

Program synthesis, invariant discovery, Horn-clause solving, and solver-guided repair.

Coverage65.9%
4reasoning tasks13,000instances0wrong
CHC and SyGuS share a new counterexample-guided search layer.Open domain →

Shared evaluation contract

Consistent structure without flattening domain-specific meaning

01

One experiment identity

Artifact, configuration, benchmark snapshot, limits, and hardware travel together across every domain.

02

Domain-native evidence

SMT reports decisions; optimization reports optimality; CP and MILP preserve bounds and incumbent quality.

03

Comparable baselines

Each track selects relevant established solvers instead of forcing one baseline set across unrelated paradigms.

04

Correctness before speed

Invalid answers and unverifiable certificates stay visible even when aggregate coverage improves.

Portfolio matrix

Coverage and maturity at a glance

DomainStageTracksBenchmarksSolvedCoverageQuality gate
SMTSatisfiability Modulo Theories
Stable6SMT-LIB logics42,68038,91491.2%
Passed
OMTOptimization Modulo Theories
Beta5objective familys15,20013,23587.1%
1 wrong
CPConstraint Programming
Preview5problem familys28,60023,89283.5%
Passed
MILPMixed-Integer Linear Programming
Preview5model classs18,75015,18381.0%
2 wrong
SAT · MaxSATBoolean Satisfiability
Beta4competition tracks25,00022,78491.1%
Passed
QBFQuantified Boolean Formulas
Planned4quantifier fragments11,7008,04968.8%
1 wrong
SyGuS · CHCSynthesis and Constrained Horn Clauses
Planned4reasoning tasks13,0008,57065.9%
Passed