dafny_fact_run_diversity.txt

[2023-12-06 21:31:38,048] [INFO] [real_accelerator.py:158:get_accelerator] Setting ds_accelerator to cuda (auto detect)
/home/namin/mambaforge/envs/trl/lib/python3.10/site-packages/trl/trainer/ppo_config.py:141: UserWarning: The `optimize_cuda_cache` arguement will be deprecated soon, please use `optimize_device_cache` instead.
  warnings.warn(
/home/namin/mambaforge/envs/trl/lib/python3.10/site-packages/transformers/models/auto/auto_factory.py:472: FutureWarning: The `use_auth_token` argument is deprecated and will be removed in v5 of Transformers. Please use `token` instead.
  warnings.warn(

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/home/namin/mambaforge/envs/trl/lib/python3.10/site-packages/transformers/utils/hub.py:374: FutureWarning: The `use_auth_token` argument is deprecated and will be removed in v5 of Transformers. Please use `token` instead.
  warnings.warn(
You are using the default legacy behaviour of the <class 'transformers.models.llama.tokenization_llama.LlamaTokenizer'>. This is expected, and simply means that the `legacy` (previous) behavior will be used so nothing changes for you. If you want to use the new behaviour, set `legacy=False`. This should only be set if you understand what it means, and thouroughly read the reason why this was added as explained in https://github.com/huggingface/transformers/pull/24565
['function factorial(n: nat): nat\n', 'function Factorial(n: nat): nat\n', 'function factorial(n: nat): nat {\n', 'function factorial(n: int) returns (fact: int)\n', 'function method Factorial(n: int): int\n', 'function factorial(n: int): int\n', 'function Factorial(n: int): int\n', 'function Factorial(n: nat): nat\n', 'function factorial(n: int): int\n', 'function method Factorial(n: nat): nat\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat

SCORE
1.0
['{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{

  |
2 | {
  |  ^

ex.dfy(2,1): Error: invalid UnaryExpression
1 parse errors detected in ex.dfy

SCORE
None
['    if n == 0 then 1 else n * factorial(n - 1)\n', '    if n == 0 then 1 else n * factorial(n - 1)\n', '    if n == 0 then 1 else n * factorial(n - 1)\n', '    if n == 0 then 1 else n * factorial(n - 1)\n', '    if n == 0 then 1 else n * factorial(n - 1)\n', '    if n == 0 then 1 else n * factorial(n - 1)\n', '    if n == 0 then 1 else n * factorial(n - 1)\n', '    if n == 0 then 1 else n * factorial(n - 1)\n', '    if n == 0 then 1 else n * factorial(n - 1)\n', '    if n == 0 then 1 else n * factorial(n - 1)\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)

  |
3 |     if n == 0 then 1 else n * factorial(n - 1)
  |                                               ^

ex.dfy(3,46): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
['}\n', '}\n', '}\n', '}\n', '}\n', '}\n', '}\n', '}\n', '}\n', '}\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

SCORE
1.0
['\n', '\n', '\n', '\n', '\n', '\n', '\n', '\n', '\n', '\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}


SCORE
1.0
['lemma FactorialPositive(n: nat)\n', 'lemma {:auto} "FactorialPositive"(n: nat)\n', 'lemma FactorialPositive(n: nat)\n', 'lemma {:inline} FactorialPositive(n: nat)\n', 'lemma FactorialPositive(n: nat)\n', 'lemma FactorialAlwaysPositive(n: nat)\n', 'lemma {:verify} "FactorialPositive"(n: nat)\n', 'lemma FactorialPositive(n: nat)\n', 'lemma {:verify} FactorialAlwaysPositive(n: nat) \n', 'lemma {:inline 1} StrictlyPositiveFactorial(n: nat)\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 

SCORE
1.0
['{\n', '{\n', '{\n', '{\n', '{\n', '    ensures factorial(n) > 0\n', '{\n', '{\n', '{\n', '    ensures factorial(n) > 0\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0

SCORE
1.0
['{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{

  |
8 | {
  |  ^

ex.dfy(8,1): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
['    // Hint: Use the induction method\n', '    if n == 0 \n', '    if n == 0 \n', '    // The base case: factorial(0) == 1 which is positive.\n', '    // Your proof here\n', '    if n == 0\n', '    if n == 0 {\n', '    if n == 0 \n', '    if n == 0 \n', '    // Fill in the proof here\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{
    // Hint: Use the induction method

  |
9 |     // Hint: Use the induction method
  |                                      ^

ex.dfy(9,37): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
['    induction(n)\n', '    if n == 0\n', '    induction n\n', '    induction(n)\n', '    induction n;\n', '    if n == 0\n', '    induction(n)\n', '    induction(n)\n', '    induction(n)\n', '    if n == 0 {\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{
    // Hint: Use the induction method
    induction n

   |
10 |     induction n
   |     ^^^^^^^^^

ex.dfy(10,4): Error: missing semicolon at end of statement
   |
10 |     induction n
   |                ^

ex.dfy(10,15): Error: invalid UpdateStmt
2 parse errors detected in ex.dfy

SCORE
None
['    case zero\n', '    {\n', '\n', '    case 0 \n', '    case 0:\n', '    {\n', '    {\n', '    {\n', '\n', '\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{
    // Hint: Use the induction method
    induction n
    case zero

   |
10 |     induction n
   |     ^^^^^^^^^

ex.dfy(10,4): Error: missing semicolon at end of statement
   |
10 |     induction n
   |               ^

ex.dfy(10,14): Error: missing semicolon at end of statement
   |
11 |     case zero
   |     ^

ex.dfy(11,4): Error: rbrace expected
3 parse errors detected in ex.dfy

SCORE
None
['        // n == 0, factorial(0) == 1\n', '        // The base case: factorial(0) = 1 > 0\n', '        assert factorial(0) == 1 > 0;\n', '        factorial(0) == 1 > 0\n', '        // In this case, the factorial is 1, which is greater than 0\n', '        // Here, we are proving base case i.e., factorial(0) > 0\n', '        // When n = 0, the factorial is 1, which is greater than 0\n', '        factorial(0) == 1 > 0 \n', '        factorial(0) == 1 > 0\n', '        assert factorial(0) > 0;\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{
    // Hint: Use the induction method
    induction n
    case zero
        // n == 0, factorial(0) == 1

   |
10 |     induction n
   |     ^^^^^^^^^

ex.dfy(10,4): Error: missing semicolon at end of statement
   |
10 |     induction n
   |               ^

ex.dfy(10,14): Error: missing semicolon at end of statement
   |
11 |     case zero
   |     ^

ex.dfy(11,4): Error: rbrace expected
3 parse errors detected in ex.dfy

SCORE
-1.0
['{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n', '{\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{

  |
8 | {
  |  ^

ex.dfy(8,1): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
['    // Your proof here\n', '    // Hint: induction on n\n', '    if n == 0 \n', '    if n == 0 {\n', '    if n == 0 {\n', '    if n == 0 {\n', '    if n == 0 \n', '    // Your proof goes here\n', '    if n == 0 {\n', '    if n == 0 \n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{
    // Your proof goes here

  |
9 |     // Your proof goes here
  |                            ^

ex.dfy(9,27): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
['}\n', '}\n', '}\n', '}\n', '}\n', '}\n', '}\n', '}\n', '}\n', '}\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{
    // Your proof goes here
}

SCORE
1.0
['\n', '```def FactorialAlwaysPositive(n: nat) \n', "```Here's a proof for FactorialAlwaysPositive:\n", '\n', "```Here's a proof for the FactorialAlwaysPositive lemma:\n", '\n', '\n', "```Here's the proof for the lemma FactorialAlwaysPositive:\n", "```Here's a proof outline:\n", '\n']
TEXT
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{
    // Your proof goes here
}
```Here's a proof outline:

SCORE
1.0
CHOSEN SOLUTION
### Spec: In Dafny, write a factorial function and prove that the factorial is always strictly positive.
### Hint: Use a plain function, NOT a function method.

```dafny
function factorial(n: nat): nat
{
    if n == 0 then 1 else n * factorial(n - 1)
}

lemma {:verify} FactorialAlwaysPositive(n: nat) 
    ensures factorial(n) > 0
{
    // Your proof goes here
}
```Here's a proof outline:


STATS

number of nodes: 15
number of gen nodes: 8 (including leaves: 1)
number of back nodes: 7 (including leaves: 7)

expansion count: 8 (including failed: 1)