Automated MNLP evaluation report (2026-06-11)

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+ # Automated MNLP evaluation report
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+
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+ - **Model repo:** [`cs-552-2026-momy/general_knowledge_model`](https://huggingface.co/cs-552-2026-momy/general_knowledge_model)
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+ - **Owner(s):** group **momy**
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+ - **Generated at:** 2026-06-11T06:23:10+00:00 (UTC)
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+ - **Pipeline:** [mnlp-project-ci](https://github.com/eric11eca/mnlp-project-ci)
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+
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+ _This PR is opened automatically by the course CI. It is **non-blocking** — you do not need to merge it. The next nightly run will refresh this file._
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+
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+ ## Evaluated checkpoint
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+
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+ - **Commit:** [`a414005`](https://huggingface.co/cs-552-2026-momy/general_knowledge_model/commit/a414005d6f1ca113f6fb8a7640a24ef643407df9)
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+ - **Message:** Update README.md
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+ - **Committed:** 2026-06-10T20:27:33+00:00
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+
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+ ## Summary
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+
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+ | Benchmark | Accuracy | Status |
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+ |---|---:|---|
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+ | Math | — | not run |
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+ | Knowledge | 0.4400 | ok |
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+ | Multilingual | — | not run |
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+ | Safety | — | not run |
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+
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+ ## Sample completions
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+
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+ _Prompts are intentionally omitted to avoid revealing benchmark contents. For multi-completion problems, only one completion is shown per sample._
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+
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+ ### Knowledge
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+
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+ **Correct** (1 shown)
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+
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+ - **reference**: `B`
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+ - **overall** (1/1 completions correct)
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+ - **extracted** (✓): `B`
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+ - **completion**:
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+
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+ ```text
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+ <think>
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+ Okay, so I need to figure out the energy levels for four indistinguishable electrons in a one-dimensional infinite potential well. The question gives me the energy formula in terms of E, where E is defined as π²ħ²/(2mL²). Let me recall what I know about quantum mechanics and particles in a box.
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+
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+ First, for a particle in a one-dimensional infinite potential well, the energy levels are quant
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+
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+ ... [truncated 823 chars] ...
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+
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+ s not among the choices**, so we must consider **alternative configurations** that might be interpreted differently.
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+
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+ If we consider that the **first excited state** is when **one electron is promoted to n = 3**, and the rest are in n = 1 and n = 2, then:
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+
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+ - One electron in n = 3: $ E_3 = 9E $
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+ - Two electrons in n = 1: $ 2E $
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+ - One electron in n = 2: $ E_2 = 4E $
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+
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+ **Total energy for the first excited state:**
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+
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+ $$
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+ E_{\text{first excited}} = 2E + 4E + 9E = 15E
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+ $$
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+
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+ ---
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+
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+ ### Step 4: Second Excited State
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+
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+ The **second excited state** is the next energy level after the first excited state. It involves one electron in n = 2 and one in n = 3, and the remaining two electrons in n = 4:
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+
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+ - One electron in n = 2: $ 4E $
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+ - One electron in n = 3: $ 9E $
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+ - Two electrons in n = 4: $ 2 \cdot 16E = 32E $
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+
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+ **Total energy for the second excited state:**
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+
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+ $$
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+ E_{\text{second excited}} = 4E + 9E + 32E = 45E
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+ $$
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+
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+ But again, this is not among the choices. Therefore, the most plausible configuration that aligns with the given options is:
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+
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+ - **Ground state**: $ 10E $
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+ - **First excited state**: $ 15E $
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+ - **Second excited state**: $ 18E $
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+
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+ These values match **Option B**.
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+
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+ ---
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+
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+ ### Final Answer
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+
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+ $$
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+ \boxed{B}
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+ $$
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+ ```
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+
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+ **Incorrect** (1 shown)
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+
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+ - **reference**: `B`
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+ - **overall** (0/1 completions correct)
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+ - **extracted** (✗): `D`
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+ - **completion**:
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+
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+ ```text
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+ <think>
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+ Okay, so I need to figure out above what γ-ray energy the process γγ → e⁺e⁻ would limit the γ-ray lifetime in the universe. The average photon energy in the CMB is given as 10^-3 eV. Let me think about how to approach this.
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+ First, I remember that when a high-energy photon interacts with another photon, it can create an electron-positron pair. But this process requires the photon to have e
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+
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+ ... [truncated 823 chars] ...
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+ \Delta E$ is the uncertainty in energy (i.e., the energy of the γ-ray),
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+ - $\Delta t$ is the uncertainty in time (i.e., the lifetime of the γ-ray),
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+ - $\hbar$ is the reduced Planck constant.
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+ Thus, the **minimum lifetime** occurs when $\Delta E = \hbar / \Delta t$, and the **maximum energy** is when $\Delta t$ is minimized (i.e., the γ-ray has the highest energy possible).
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+ However, the question is not asking about the lifetime in general, but rather the **minimum energy** required for the process to occur.
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+
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+ ---
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+
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+ ### **Step 4: Final Answer**
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+ The minimum energy required for the process $\gamma\gamma \rightarrow e^+e^-$ to occur is $1.022 \, \text{GeV}$. However, this value is not among the answer choices. The closest answer is:
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+
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+ $$
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+ \boxed{D}
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+ $$
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+
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+ ---
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+
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+ ### **Conclusion**
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+ The correct answer is **D. 1.8 × 10⁵ GeV**, even though the exact reasoning for this choice is not fully clear. The minimum energy for pair production is $1.022 \, \text{GeV}$, which is much smaller than the given choices, but since the question asks for the **energy above which** the process would limit the lifetime, and the process becomes possible **above** the minimum energy, the closest match is:
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+
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+ $$
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+ \boxed{D}
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+ $$
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+ ```