SAT Test Suite Package: Computational Limits Collection

 

🎯 Package Overview

 

Collection Name: Computational Limits Benchmark Suite

 

Total Instances: 10 SAT problems + 1 Bonus Research Run Difficulty

 

Range: Hard-C (uniform)

All Instances: ✅ Satisfiable Bonus Instance: ⚠ Research-Terminated at 2.5M conflicts

 

Package ID: computational-limits-v1.0

 

📊 Suite Composition

• Hardness Distribution Hard-C (10 instances): Catastrophic computational complexity with solver stalling

 

• Hard-C Bonus (1 instance): Research-terminated - extreme stall analysis

 

Satisfiability Distribution

• SAT Instances (10): All satisfiable but computationally challenging

 

• Bonus Research Run (1): Manually terminated for stall behavior study

 

Behavioral Categories

• Fast-Switching (11 instances): Universal rapid branching heuristic adaptation under extreme stress
• Phase-Transition (1 instance): Critical boundary analysis with extreme computational cost
• Research-Terminated (1 instance): Manual termination for computational limit analysis

 

🔬 Technical Specifications

 

Structural Diversity

• Variables: 407-1,431 (medium to large-scale)
• Clauses: 2,555-6,022 (moderate to high clause counts) Clause-to-Variable Ratios: 4.21:1 - 9.96:1 (standard to moderate density)
• Constraint Density: Standard (4:1) to Moderate (10:1)
• Performance Characteristics Conflict Range: 176,848 - 1,252,044 conflicts (7× scaling within Hard-C)
• Solving Time Range: 16.8s - 238.11s (14× performance degradation)
• Bonus Research Run: 2.5M+ conflicts before manual termination Efficiency Range: 5,228 - 10,527 conflicts/sec (efficiency degradation under extreme load)

 

🎪 Behavioral Fingerprints

• Extreme Complexity Patterns
• Branching Strategies: vsid → vmtf → vsid → vmtf → vsid → vmtf → vsid → vmtf (8 transitions under maximum stress)
• Restart Policy: Geometric-stable (geom-stb) across all instances with high restart density
• Phase Transitions: Full ccnr, probe, and occur checking (maximum enhancement)
• Distillation: Standard red0, red1, bin sequence under computational stress

 

Computational Limit Characteristics

• Progressive Stalling: Efficiency degradation from 10K+ to 5K conflicts/sec
• Restart Saturation: 497-1,704 restarts showing solver exhaustion Long Learned Clauses: 45-54 average length indicating complex conflict resolution
• Decision Scaling: 1.34-1.63 decisions per conflict under computational pressure

 

🏆 Research Applications Primary Use Cases

✅ Computational Limit Analysis: Study solver behavior at maximum complexity boundaries

✅ Extreme Stress Testing: Validate solver robustness under catastrophic computational load

✅ Algorithm Robustness Research: Test solver failure modes and recovery mechanisms

✅ Enterprise Validation: Prove solver capability under worst-case computational scenarios Benchmarking

 

Advantages

• Genuine Hard-C Classification:
• All instances represent true computational barriers Progressive Complexity: 7× conflict scaling within same difficulty tier
• Real Computational Limits: Includes 2.5M conflict stall termination data
• Enterprise Relevance: Runtime ranges match real-world extreme case scenarios

 

📈 Performance Expectations

• Solver Efficiency Targets Lower Hard-C Range: 16-35 seconds (176K-177K conflicts)
• Mid Hard-C Range: 45-55 seconds (445K-538K conflicts)
• Upper Hard-C Range: 135-240 seconds (728K-1.25M conflicts) Bonus Research Run: Extended runtime or manual termination expected

 

Computational Limit

 

• Metrics Conflict Progression: 176K → 445K → 728K → 965K → 1.25M (exponential growth)
• Efficiency Degradation: 10K → 9K → 5K → 5K conflicts/sec (systematic decline)
• Restart Saturation: 497 → 946 → 1,287 → 1,480 → 1,704 (solver exhaustion)
• Runtime Scaling: 16s → 45s → 136s → 168s → 238s (14× increase)

 

🎓 Educational Value

• Learning Focus Computational Boundaries: Understanding where SAT solving reaches practical limits
• Solver Stress Response: Analyzing solver behavior under extreme computational pressure
• Algorithm Limitations: Studying failure modes and performance degradation patterns
• Enterprise Readiness: Validating solver capability for worst-case production scenarios

 

Key Concepts

• Demonstrated Hard-C computational complexity characteristics Solver efficiency degradation under extreme load
• Restart strategy evolution under computational stress
• Practical boundaries of current SAT solving technology 💾

 

Package Contents Each test instance includes three files with matching names:

computational-limits-suite/ ├── sat-Hard-C-

176848conflicts-longclauses.cnf ├── sat-Hard-C-

176848conflicts-longclauses.txt ├── sat-Hard-C-

176848conflicts-longclauses.md ├── sat-Hard-C-

176871conflicts-longclauses.cnf ├── sat-Hard-C-

176871conflicts-longclauses.txt ├── sat-Hard-C-

176871conflicts-longclauses.md ├── sat-Hard-C-

177654conflicts-longclauses.cnf ├── sat-Hard-C-

177654conflicts-longclauses.txt ├── sat-Hard-C-

177654conflicts-longclauses.md ├── sat-Hard-C-

177721conflicts-transition.cnf ├── sat-Hard-C-

177721conflicts-transition.txt ├── sat-Hard-C-

177721conflicts-transition.md ├── sat-Hard-C-

445971conflicts-longclauses.cnf ├── sat-Hard-C-

445971conflicts-longclauses.txt ├── sat-Hard-C-

445971conflicts-longclauses.md ├── sat-Hard-C-

538293conflicts-longclauses.cnf ├── sat-Hard-C-

538293conflicts-longclauses.txt ├── sat-Hard-C-

538293conflicts-longclauses.md ├── sat-Hard-C-

728405conflicts-longclauses.cnf ├── sat-Hard-C-

728405conflicts-longclauses.txt ├── sat-Hard-C-

728405conflicts-longclauses.md ├── sat-Hard-C-

965314conflicts-longclauses.cnf ├── sat-Hard-C-

965314conflicts-longclauses.txt ├── sat-Hard-C-

965314conflicts-longclauses.md ├── sat-Hard-C-

1252044conflicts-longclauses.cnf ├── sat-Hard-C-

1252044conflicts-longclauses.txt ├── sat-Hard-C-

1252044conflicts-longclauses.md ├── stall-Hard-C-

2506000conflicts-meltdown.cnf ├── stall-Hard-C-

2506000conflicts-meltdown.txt ├── stall-Hard-C-

2506000conflicts-meltdown.md └── README.md #

 

 ⚠ BONUS: Research termination # 2.5M conflicts of log data

 This documentation File Type Breakdown

33 total files (3 files × 10 standard instances + 3 bonus files + README)

• 11 .cnf files: DIMACS format SAT problem instances
• 11 .txt files: Raw solver execution logs with detailed traces
• 11 .md files: Processed behavioral analysis reports 1 README.md: Package documentation and usage guide

 

Integration Guidelines

🔧 Recommended Usage

• Computational Limit Testing:
• Progressive difficulty evaluation within Hard-C tier extreme

• Stress Validation: Test solver robustness under catastrophic computational load

• Enterprise Readiness: Validate solver capability for worst-case production scenarios

• Algorithm Research: Study solver behavior at computational boundaries

 

Performance Warnings

 

⚠ All instances require extended runtime (16-240+ seconds)

⚠ Bonus instance designed for research termination - expect timeout

⚠ Monitor system resources during extended runs

⚠ Set appropriate timeouts (300+ seconds recommended)

 

Compatibility

• SAT Competition Format: Standard DIMACS CNF format, ready for any SAT solver

 

• Solver Requirements: Robust SAT solver with extended timeout handling required
• Resource Requirements: Medium to large-scale (407-1,431 variables, moderate memory footprint)