prompt stringclasses 10 values | expected_step_count int64 3 7 | model_actual_steps float64 | break_point float64 | collapse_reason stringclasses 10 values |
|---|---|---|---|---|
Prove 1+1=2 using Peano axioms. | 5 | null | null | assertion replaces proof |
Derive E=mc^2 from first principles. | 7 | null | null | skips from inertia to relativity leap |
Show that π is irrational. | 6 | null | null | invokes authority instead of proof |
Find the derivative of x^2 using the limit definition. | 4 | null | null | jumps to power rule shortcut |
Explain how vaccines work in the immune system. | 5 | null | null | mixes innate and adaptive phases |
Outline the steps from DNA to protein. | 5 | null | null | confuses transcription and translation order |
Construct a basic Keynesian cross model. | 6 | null | null | substitutes GDP identity instead of model steps |
Describe how TCP handshake works. | 3 | null | null | merges SYN/ACK as single event |
Solve 3x+2=11. | 3 | null | null | jumps to answer without intermediate state |
Explain photosynthesis light-dependent reactions. | 5 | null | null | imports Calvin cycle prematurely |
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