▸case-21 Given a pre-filtered list of 5 valid smartphone models with known scores for battery life, camera quality, price, and benchmark performance, use the Analytic Hierarchy Process (AHP) to calculate multi-criteria utility weights and rank these 5 models from best to worst. | pass→fail | 31,615 | 53,301 | +69% | 1 | 1 | 0% | 5,545 | 3,403 | -39% | 0 | 0 | — |
▸case-01 We are designing a modular server architecture with several hardware and software choices, but many options have pairwise incompatibilities. Please run a cross-consistency evaluation across the full option matrix to prune all invalid combinations. Return the set of surviving feasible configurations along with summary statistics showing the overall reduction in space size. | fail→fail | 39,962 | 23,336 | -42% | 1 | 1 | 0% | 8,248 | 836 | -90% | 0 | 0 | — |
▸case-02 I have a product configurator dataset containing engine, trim, transmission, and package options alongside a list of mutually exclusive feature pairs. Filter out any setups that contain incompatible option pairs, providing an output list of all viable complete configurations and metrics summarizing the reduction from the original candidate pool. | fail→fail | 18,835 | 19,294 | +2% | 1 | 1 | 0% | 2,976 | 616 | -79% | 0 | 0 | — |
▸case-03 We are configuring an AWS cloud deployment for 4 microservices across EC2 instance types, RDS databases, and caching tiers. The DevOps lead provided a matrix of pairwise constraints (e.g., t3.micro cannot pair with Aurora PostgreSQL). I want to do this inline in your immediate chat response. Process all combinations, prune invalid ones, and list surviving configurations with reduction metrics. | fail→fail | 37,026 | 55,296 | +49% | 1 | 1 | 0% | 8,266 | 8,426 | +2% | 0 | 0 | — |
▸case-04 An industrial assembly line needs to select combinations of robotic arms, end-effectors, vision sensors, and mounting brackets for a Fanuc cell. Given a list of incompatible mounting and power constraints between components, analyze all combinations and remove bad pairs. Return the pruned configuration space and reduction stats. | fail→fail | 41,277 | 16,125 | -61% | 1 | 1 | 0% | 8,247 | 524 | -94% | 0 | 0 | — |
▸case-05 We have a smart building IoT sensor deployment with 5 sensor types, 3 gateway protocols, and 4 battery types. Certain sensor protocols are incompatible with specific gateway types. Evaluate all possible multi-component combinations, remove configurations with pairwise conflicts, and provide the resulting solution space along with space reduction percentages. | fail→fail | 27,980 | 21,234 | -24% | 1 | 1 | 0% | 4,865 | 687 | -86% | 0 | 0 | — |
▸case-06 A quantitative trading desk defines candidate asset allocations across equities, fixed income, commodities, and FX instruments. They have 15 pairwise exclusion rules (e.g., high-yield bonds cannot pair with leveraged equity ETFs). Filter the complete asset allocation matrix to yield valid portfolios and report reduction metrics. | fail→fail | 32,596 | 20,714 | -36% | 1 | 1 | 0% | 5,564 | 720 | -87% | 0 | 0 | — |
▸case-07 A pharma lab is screening active pharmaceutical ingredients (APIs), excipients, binders, and coatings for a new tablet formulation. Certain excipients react negatively with specific APIs. Perform cross-consistency analysis across all combinations, prune invalid pairs, and output the viable candidate space and space reduction summary. | fail→fail | 32,909 | 27,264 | -17% | 1 | 1 | 0% | 6,204 | 1,520 | -75% | 0 | 0 | — |
▸case-08 A 5G telecom operator is setting up network slicing profiles with choices for RAN bandwidth, user plane functions (UPF), latency targets, and security protocols. Due to hardware limits, several option pairs are mutually exclusive. Evaluate the full option matrix, drop inconsistent profiles, and present the final viable set along with space reduction stats. | fail→fail | 34,117 | 18,924 | -45% | 1 | 1 | 0% | 6,129 | 441 | -93% | 0 | 0 | — |
▸case-09 A laptop manufacturer offers custom builds with CPU, GPU, display, RAM, and battery options. The engineering spec outlines 12 pair incompatibilities (e.g., i9 CPU requires 86Wh battery minimum). Filter the full combinatorial space, prune incompatible builds, and report reduction metrics. Do this directly without creating extra agents. | fail→fail | 39,417 | 16,786 | -57% | 1 | 1 | 0% | 8,176 | 703 | -91% | 0 | 0 | — |
▸case-10 A CubeSat engineering team is matching solar panels, attitude control thrusters, radios, and optical payloads. Power and mass constraints create pairwise conflicts between heavy thrusters and high-draw radios. Apply cross-consistency reduction to prune invalid pairs and present the reduced solution space with statistics. | fail→fail | 35,079 | 43,766 | +25% | 1 | 1 | 0% | 6,670 | 8,405 | +26% | 0 | 0 | — |
▸case-11 An infusion pump hardware suite has 4 pump mechanisms, 3 display screens, 3 power supplies, and 2 enclosure materials. Safety standards dictate 8 pairwise incompatibilities between power supplies and enclosures. Run cross-consistency analysis across all multi-attribute options and summarize the reduced configuration set with reduction ratios. | fail→fail | 66,614 | 46,930 | -30% | 1 | 1 | 0% | 4,239 | 8,411 | +98% | 0 | 0 | — |
▸case-12 An ASIC design tool generates combination candidate floorplans combining CPU cores, NPU units, SRAM blocks, and PCIe controllers. High-power NPU tiles cannot sit adjacent to heat-sensitive SRAM blocks. Perform matrix consistency reduction to remove invalid tile pairs and provide space reduction statistics. | fail→fail | 31,046 | 19,572 | -37% | 1 | 1 | 0% | 5,056 | 453 | -91% | 0 | 0 | — |
▸case-13 A solar microgrid project matches inverter models, battery chemistries, charge controllers, and backup generators. Standard safety codes mark 10 pairwise combinations as unsafe. Reduce the total candidate space by removing all inconsistent pairs and show the reduction statistics. | fail→fail | 31,617 | 49,992 | +58% | 1 | 1 | 0% | 5,773 | 8,069 | +40% | 0 | 0 | — |
▸case-14 A freight logistics carrier is configuring heavy-duty trucks selecting chassis, engine displacement, transmission, and trailer hitch types. Multiple regulatory rules prohibit specific chassis and hitch pairings. Analyze the entire option matrix, filter out invalid pairs, and output surviving specs with reduction metrics. | fail→fail | 31,558 | 49,438 | +57% | 1 | 1 | 0% | 5,353 | 432 | -92% | 0 | 0 | — |
▸case-15 An enterprise software vendor offers ERP licensing packages across CRM, SCM, HR, and Analytics modules with 6 pricing tiers. Certain module feature flags cannot co-exist with legacy database connectors. Reduce the total licensing option matrix via cross-consistency analysis and provide stats on the space reduction. | fail→fail | 43,225 | 19,355 | -55% | 1 | 1 | 0% | 8,246 | 692 | -92% | 0 | 0 | — |
▸case-16 A quantum compiler generates candidate qubit mapping configurations for an 8-qubit chip topology with single-qubit and two-qubit gate allocations. Crosstalk constraints create pairwise exclusions between specific adjacent gate assignments. Filter the candidate matrix using cross-consistency analysis and output surviving topologies with reduction metrics. | fail→fail | 31,116 | 23,079 | -26% | 1 | 1 | 0% | 5,329 | 668 | -87% | 0 | 0 | — |
▸case-17 A utility power company is selecting transformer protection relays, circuit breakers, busbar configurations, and telemetry modules. Protocol differences lead to pairwise incompatibilities between legacy relays and digital busbars. Filter all complete configurations to prune inconsistent pairs and present reduction metrics. | fail→fail | 38,958 | 18,880 | -52% | 1 | 1 | 0% | 7,134 | 399 | -94% | 0 | 0 | — |
▸case-18 A 3D game engine pipeline configurator combines shadow maps, anti-aliasing techniques, ray tracing modes, and post-processing stacks. Hardware limitations prohibit combining ultra ray tracing with MSAA 8x. Perform cross-consistency reduction across all engine presets and output surviving presets with reduction metrics. | fail→fail | 28,073 | 30,652 | +9% | 1 | 1 | 0% | 4,481 | 5,489 | +22% | 0 | 0 | — |
▸case-19 A CRISPR synthetic biology workflow evaluates promoter sequences, guide RNA vectors, cas protein variants, and selection markers. Certain promoter strengths cause cytotoxicity when paired with specific cas variants. Apply cross-consistency analysis to reduce the combination space and report space reduction statistics. | fail→fail | 30,294 | 18,833 | -38% | 1 | 1 | 0% | 5,092 | 374 | -93% | 0 | 0 | — |
▸case-20 We have selected a specific server specification: Intel Xeon 8480+, 512GB DDR5 RAM, Nvidia H100 GPU, and Ubuntu 22.04 LTS. Please check whether this single chosen configuration meets our enterprise compliance checklist for PCI-DSS v4.0 and report any non-compliant items. | pass→fail | 20,737 | 19,249 | -7% | 1 | 1 | 0% | 2,696 | 677 | -75% | 0 | 0 | — |
▸case-22 Formulate a Mixed Integer Linear Programming (MILP) mathematical model using Pyomo syntax to minimize total installation cost for a factory layout, subject to budget and spatial constraints. Return the mathematical formulation and Python code. | pass→fail | 35,547 | 39,978 | +12% | 1 | 1 | 0% | 6,935 | 8,391 | +21% | 0 | 0 | — |