### SYSTEM: interrogating function with args ['integer', 'integer', 'integer']

--- LLM ---
  None

### SYSTEM: calling tool
  (1, 1, 1) → "plateau"

--- LLM ---
  None

### SYSTEM: calling tool
  (0, 0, 0) → "plateau"

--- LLM ---
  None

### SYSTEM: calling tool
  (3, 4, 5) → "incline"

--- LLM ---
  None

### SYSTEM: calling tool
  (5, 4, 3) → "decline"

--- LLM ---
  None

### SYSTEM: calling tool
  (2, 2, 3) → "incline"

--- LLM ---
  None

### SYSTEM: calling tool
  (2, 3, 3) → "incline"

--- LLM ---
  None

### SYSTEM: calling tool
  (3, 3, 2) → "decline"

--- LLM ---
  None

### SYSTEM: calling tool
  (1, 2, 1) → "mountain"

--- LLM ---
  None

### SYSTEM: calling tool
  (2, 1, 2) → "valley"

--- LLM ---
  None

### SYSTEM: calling tool
  (1, 3, 2) → "mountain"

--- LLM ---
  None

### SYSTEM: calling tool
  (1, 2, 2) → "incline"

--- LLM ---
  None

### SYSTEM: calling tool
  (5, 5, 4) → "decline"

--- LLM ---
  None

### SYSTEM: calling tool
  (1, 3, 0) → "mountain"

--- LLM ---
  None

### SYSTEM: calling tool
  (3, 1, 0) → "decline"

--- LLM ---
  None

### SYSTEM: calling tool
  (2, 2, 1) → "decline"

--- LLM ---
  None

### SYSTEM: calling tool
  (1, 3, 4) → "incline"

--- LLM ---
  None

### SYSTEM: calling tool
  (1, 1, 2) → "incline"

--- LLM ---
  I’ve probed the function with a variety of triplets and the responses always match one of five words that describe the
  “shape” made by the three numbers when viewed left-to-right:

  • plateau – all three numbers are equal (flat).
    examples tested: (1, 1, 1), (0, 0, 0)

  • incline – the sequence never goes down and is not completely flat
    (a ≤ b ≤ c and at least one strict “<”).
    examples: (3, 4, 5), (2, 2, 3), (1, 2, 2), (1, 3, 4)

  • decline – the sequence never goes up and is not completely flat
    (a ≥ b ≥ c and at least one strict “>”).
    examples: (5, 4, 3), (3, 3, 2), (2, 2, 1)

  • mountain – it rises then falls
    (a < b and b > c).
    examples: (1, 2, 1), (1, 3, 2), (1, 3, 0)

  • valley – it falls then rises
    (a > b and b < c).
    example: (2, 1, 2)

  So the mystery function simply classifies a triple of integers into one of these five terrain-like categories
  according to their relative order.

### SYSTEM: The tool was used 17 times.

### SYSTEM: verifying function with args ['integer', 'integer', 'integer']

### SYSTEM: inputs:
  {'a': 2, 'b': 1, 'c': 3}

--- LLM ---
  The sequence first decreases (2 → 1) and then increases (1 → 3), matching the “valley” pattern (a > b and b < c).

  `valley`

### SYSTEM: CORRECT

### SYSTEM: inputs:
  {'a': 1, 'b': 5, 'c': 2}

--- LLM ---
  The sequence rises from 1 to 5, then falls to 2 (a < b and b > c), matching the “mountain” pattern.

  `mountain`

### SYSTEM: CORRECT

### SYSTEM: inputs:
  {'a': 4, 'b': 4, 'c': 4}

--- LLM ---
  All three numbers are identical (4, 4, 4), so the sequence is completely flat.

  `plateau`

### SYSTEM: CORRECT

### SYSTEM: inputs:
  {'a': 1, 'b': 2, 'c': 3}

--- LLM ---
  The numbers are in strictly increasing order (1 ≤ 2 ≤ 3 with at least one strict increase), which the function labels
  as an "incline".

  `incline`

### SYSTEM: CORRECT