SciGame: Let Agents Play the Scientific Discovery Games in the Real and Counterfactual World
Organizations: MBZUAI · McGill University · Shanghai AI Lab
Abstract
Large language model agents are increasingly used for scientific discovery. However, existing benchmarks mix law inference with programming, score data fitting instead of prediction on unseen inputs, and do not separate empirical evidence from pretrained priors. We introduce SciGame, a controlled benchmark that converts scientific literature into structured scientific cards. Each card yields a pair of Original and dimensionally consistent Counterfactual environments with the same task interface. SciGame contains a Historical collection of canonical laws and a live Temporal collection curated from papers published after model knowledge cutoffs. It evaluates agents in candidate-guided Identification and open-ended Discovery settings. Each setting runs under Prior-only, Fixed, and Adaptive protocols. Experiments on five frontier models yield three findings. First, familiar priors hurt performance once the governing relation is altered. Second, adaptive experimentation helps the strongest models but harms weaker ones under limited budgets. Third, good explanations can hide quantitative failures. Recovering the exact symbolic form remains the main bottleneck, even when agents interpret evidence correctly. Current agents can investigate systems actively, but inducing exact laws in unfamiliar settings remains an open challenge.
Figures & tables
| Benchmark | Active experiments | Numerical prediction | Paper grounding | Counterfactual | Temporal selection |
| DiscoveryWorld ( Jansen et al., 2024 ) | — | — | — | ||
| FalsifyBench ( Bertolazzi et al., 2026 ) | — | — | — | — | |
| Auto-Discovery-Bench ( Chen et al., 2025a ) | — | — | — | ||
| LLM-SRBench ( Shojaee et al., 2025 ) | — | — | — | ||
| BoxingGym ( Gandhi et al., 2025 ) | — | — | |||
| ActiveSciBench-Chem ( Kabra et al., 2026 ) | — | — |
| Historical | Temporal | ||||||||||||||||||||||||
| Identification | Discovery | Identification | Discovery | ||||||||||||||||||||||
| Original | Counterfactual | Original | Counterfactual | Original | Counterfactual | Original | Counterfactual | ||||||||||||||||||
| Model | Method | ESR | PS | SES | ESR | PS | SES | ESR | PS | SES | ESR | PS | SES | ESR | PS | SES | ESR | PS | SES | ESR | PS | SES | ESR | PS | SES |
| DeepSeek-V4 Flash | Prior-only | 88.3 | 0.950 | 0.707 | 0.0 | 0.136 | 0.401 | 31.7 | 0.574 | 0.684 | 0.0 | 0.100 | 0.218 | 40.3 | 0.467 | 0.563 | 0.0 | 0.158 | 0.552 | 0.0 | 0.078 | 0.439 | 0.0 | 0.062 | 0.379 |
| Fixed | 91.7 | 0.967 | 0.839 | 48.3 | 0.660 | 0.563 | 53.3 | 0.867 | 0.757 | 0.0 | 0.338 | 0.426 | 51.4 | 0.639 | 0.649 | 33.3 | 0.440 | 0.624 | 12.5 | 0.505 | 0.587 | 9.7 | 0.378 | 0.564 | |
| Adaptive | 76.7 | 0.819 | 0.799 | 33.3 | 0.456 | 0.601 | 23.3 | 0.485 | 0.713 | 0.0 | 0.186 | 0.488 | 52.8 | 0.597 | 0.697 | 44.4 | 0.536 | 0.723 | 9.7 | 0.406 | 0.578 | 11.1 | 0.270 | 0.476 | |
Appendix figures & tables8 assets
Supplementary material from the paper’s appendix.
Appendix
| Record | Contents |
|---|---|
| Hypothesis report | A statement, and confidence for each hypothesis. |
| Experimental proposal | Experimental objective, apparatus, input settings, requested observables, replicate count, and numerical predictions under each active hypothesis. |
| Oracle response | Execution status and feedback message. Accepted proposals include quantized measurements with units and resolution metadata. |
| Final submission | hypothesis, executable predictor expressions for all observables, scientific explanation, and applicability conditions. |
| Player | Knowledge cutoff | API release |
|---|---|---|
| GPT-5.5 ( OpenAI, 2026a ) | 1 December 2025 | 24 April 2026 |
| GPT-5.6 Luna ( OpenAI, 2026b ) | 16 February 2026 | 9 July 2026 |
| GPT-5.6 Terra ( OpenAI, 2026d ) | 16 February 2026 | 9 July 2026 |
| GPT-5.6 Sol ( OpenAI, 2026c ) | 16 February 2026 | 9 July 2026 |
| GPT-6 Astra ( OpenAI, 2026e ) | 30 April 2026 | 3 September 2026 |
| Qwen-3.6 Plus | February 2026 | 2 Apr 2026 |
| Arity | Operators |
|---|---|
| At least 2 | add , multiply , maximum , minimum , hypot |
| Exactly 2 | subtract , divide , power , atan2 |
| Exactly 1 | negate , exp , expm1 , log , log1p , log2 , log10 , sqrt , cbrt , abs , sign , step , erf , erfc , sin , cos , tan , asin , acos , atan , sinh , cosh , tanh , asinh , acosh , atanh , floor , ceil , round |
| Tokens (M) | Cost (USD) | ||||||||||
| Model | Method | Episodes | Budget | Player in | Player out | Judge in | Judge out | Player | Judge | Total | $/episode |
| GPT-5.5 | Prior-only | 528 | 0 | 3.0 | 2.3 | 5.5 | 0.5 | 84 | 80 | 164 | 0.31 |
| Fixed ( ) | 528 | 4 | 3.4 | 2.8 | 6.9 | 0.5 | 101 | 92 | 193 | 0.37 | |
| Adaptive | 528 | 6.6 (0–84) | 39.5 | 23.2 | 8.6 | 0.7 | 895 | 122 | 1,017 | 1.93 | |
| GPT-5.6 Luna | Prior-only | 528 | 0 | 3.7 | 1.7 | 5.4 | 0.5 | 3 | 78 | 81 | 0.15 |
| Fixed ( ) | 528 | 4 | 5.3 | 3.1 | 6.7 | 0.5 | 5 | 92 | 96 | 0.18 | |
| Historical | Temporal | ||||||||||||||||
| Identification | Discovery | Identification | Discovery | ||||||||||||||
| Original | Counterfactual | Original | Counterfactual | Original | Counterfactual | Original | Counterfactual | ||||||||||
| Model | Method | Weak | Strict | Weak | Strict | Weak | Strict | Weak | Strict | Weak | Strict | Weak | Strict | Weak | Strict | Weak | Strict |
| DeepSeek-V4-Flash | Prior-only | 95.0 | 88.3 | 0.0 | 0.0 | 51.7 | 31.7 | 0.0 | 0.0 | 45.8 | 40.3 | 5.6 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
| Fixed | 96.7 | 91.7 | 58.3 | 48.3 | 86.7 | 53.3 | 16.7 | 0.0 | 61.1 | 51.4 | 36.1 | 33.3 | 45.8 | 12.5 | 27.8 | 9.7 | |
| Adaptive | 81.7 | 76.7 | 38.3 | 33.3 | 48.3 | 23.3 | 6.7 | 0.0 | 58.3 | 52.8 | 51.4 | 44.4 | 36.1 | 9.7 | 22.2 | 11.1 | |
AI Agents for Scientific Discovery
AI agents for scientific discovery use language models, tools, and experiments to generate, test, and refine scientific knowledge.
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