Reasoning-Fce-Monotonicity

The model receives the prompt (and optional system message). The run uses scorer rubric_json_metrics with the JSON configuration below. Pass/fail and partial credit are determined entirely by that scorer against the model output; no human grading.

Return JSON only with keys answer, evidence, constraints. A rule claims increasing every user quota cannot reduce total allocated capacity. Find a minimal counterexample involving a fixed global cap.

{
  "metrics": {
    "accuracy": {
      "checks": [
        {
          "contains": [
            "global cap"
          ]
        },
        {
          "contains": [
            "counterexample"
          ]
        },
        {
          "contains": [
            "quota"
          ]
        }
      ]
    },
    "evidence": {
      "checks": [
        {
          "contains": [
            "increase"
          ]
        },
        {
          "contains": [
            "reduce"
          ]
        },
        {
          "contains": [
            "allocation"
          ]
        }
      ]
    },
    "constraint": {
      "checks": [
        {
          "contains": [
            "monotonicity"
          ]
        },
        {
          "contains": [
            "fixed cap"
          ]
        },
        {
          "contains": [
            "minimal"
          ]
        }
      ]
    }
  }
}