dafny_fact_run_nat.txt

[2023-12-06 22:02:33,741] [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(

Loading checkpoint shards:   0%|          | 0/7 [00:00<?, ?it/s]
Loading checkpoint shards:  14%|█▍        | 1/7 [00:04<00:28,  4.78s/it]
Loading checkpoint shards:  29%|██▊       | 2/7 [00:09<00:23,  4.69s/it]
Loading checkpoint shards:  43%|████▎     | 3/7 [00:14<00:19,  4.76s/it]
Loading checkpoint shards:  57%|█████▋    | 4/7 [00:19<00:14,  4.79s/it]
Loading checkpoint shards:  71%|███████▏  | 5/7 [00:23<00:09,  4.74s/it]
Loading checkpoint shards:  86%|████████▌ | 6/7 [00:28<00:04,  4.68s/it]
Loading checkpoint shards: 100%|██████████| 7/7 [00:32<00:00,  4.57s/it]
Loading checkpoint shards: 100%|██████████| 7/7 [00:32<00:00,  4.67s/it]
/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
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat {

  |
1 | function method Factorial(n: nat): nat {
  |                                         ^

ex.dfy(1,40): Error: invalid UnaryExpression
  |
1 | function method Factorial(n: nat): nat {
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
2 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat {
    if n == 0 {

  |
2 |     if n == 0 {
  |               ^

ex.dfy(2,14): Error: then expected
  |
1 | function method Factorial(n: nat): nat {
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
2 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat {
    if n == 0 {
        1

  |
2 |     if n == 0 {
  |               ^

ex.dfy(2,14): Error: then expected
  |
3 |         1
  |          ^

ex.dfy(3,9): Error: rbrace expected
  |
1 | function method Factorial(n: nat): nat {
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
3 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat {
    if n == 0 {
        1
    } else {

  |
2 |     if n == 0 {
  |               ^

ex.dfy(2,14): Error: then expected
  |
4 |     } else {
  |             ^

ex.dfy(4,12): Error: rbrace expected
  |
1 | function method Factorial(n: nat): nat {
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
3 parse errors detected in ex.dfy

SCORE
-1.0
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat {

  |
1 | function method Factorial(n: nat): nat {
  |                                         ^

ex.dfy(1,40): Error: invalid UnaryExpression
  |
1 | function method Factorial(n: nat): nat {
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
2 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat {
    if n == 0 {

  |
2 |     if n == 0 {
  |               ^

ex.dfy(2,14): Error: then expected
  |
1 | function method Factorial(n: nat): nat {
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
2 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat {
    if n == 0 {
        1

  |
2 |     if n == 0 {
  |               ^

ex.dfy(2,14): Error: then expected
  |
3 |         1
  |          ^

ex.dfy(3,9): Error: rbrace expected
  |
1 | function method Factorial(n: nat): nat {
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
3 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat {
    if n == 0 {
        1
    } else {

  |
2 |     if n == 0 {
  |               ^

ex.dfy(2,14): Error: then expected
  |
4 |     } else {
  |             ^

ex.dfy(4,12): Error: rbrace expected
  |
1 | function method Factorial(n: nat): nat {
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
3 parse errors detected in ex.dfy

SCORE
-1.0
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat

  |
1 | function method Factorial(n: nat): nat
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

```dafny
function method Factorial(n: nat): nat
{

  |
2 | {
  |  ^

ex.dfy(2,1): Error: invalid UnaryExpression
  |
1 | function method Factorial(n: nat): nat
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
2 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

```dafny
function method 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 | function method Factorial(n: nat): nat
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
2 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

  |
1 | function method Factorial(n: nat): nat
  | ^^^^^^^^

ex.dfy(1,0): Error: the phrase 'function method' is not allowed when using --function-syntax:4; to declare a compiled function, use just 'function'
1 parse errors detected in ex.dfy

SCORE
-1.0
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.
### Hint: Use a nat, NOT an int.

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

SCORE
1.0
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.
### Hint: Use a nat, NOT an int.

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

  |
2 | {
  |  ^

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

SCORE
None
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.
### Hint: Use a nat, NOT an int.

```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
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.
### Hint: Use a nat, NOT an int.

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

SCORE
1.0
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.
### Hint: Use a nat, NOT an int.

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


SCORE
1.0
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)

SCORE
1.0
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000

SCORE
1.0
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)

SCORE
1.0
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{

  |
9 | {
  |  ^

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

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {

   |
10 |     if n == 0 {
   |                ^

ex.dfy(10,15): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case

   |
11 |         // Base case
   |                     ^

ex.dfy(11,20): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {

   |
12 |     } else {
   |             ^

ex.dfy(12,12): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {
        // Inductive step

   |
13 |         // Inductive step
   |                          ^

ex.dfy(13,25): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {
        // Inductive step
        FactorialPositive(n - 1);

   |
14 |         FactorialPositive(n - 1);
   |                                  ^

ex.dfy(14,33): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {
        // Inductive step
        FactorialPositive(n - 1);
        assert Factorial(n - 1) > 0; // From inductive hypothesis

   |
15 |         assert Factorial(n - 1) > 0; // From inductive hypothesis
   |                                                                  ^

ex.dfy(15,65): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {
        // Inductive step
        FactorialPositive(n - 1);
        assert Factorial(n - 1) > 0; // From inductive hypothesis
        assert n > 0; // n is a natural number

   |
16 |         assert n > 0; // n is a natural number
   |                                               ^

ex.dfy(16,46): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {
        // Inductive step
        FactorialPositive(n - 1);
        assert Factorial(n - 1) > 0; // From inductive hypothesis
        assert n > 0; // n is a natural number
        assert n * Factorial(n - 1) > 0; // n is positive and Factorial(n - 1) is positive

   |
17 |         assert n * Factorial(n - 1) > 0; // n is positive and Factorial(n - 1) is positive
   |                                                                                           ^

ex.dfy(17,90): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {
        // Inductive step
        FactorialPositive(n - 1);
        assert Factorial(n - 1) > 0; // From inductive hypothesis
        assert n > 0; // n is a natural number
        assert n * Factorial(n - 1) > 0; // n is positive and Factorial(n - 1) is positive
    }

   |
18 |     }
   |      ^

ex.dfy(18,5): Error: rbrace expected
1 parse errors detected in ex.dfy

SCORE
None
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {
        // Inductive step
        FactorialPositive(n - 1);
        assert Factorial(n - 1) > 0; // From inductive hypothesis
        assert n > 0; // n is a natural number
        assert n * Factorial(n - 1) > 0; // n is positive and Factorial(n - 1) is positive
    }
}

SCORE
1.0
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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {
        // Inductive step
        FactorialPositive(n - 1);
        assert Factorial(n - 1) > 0; // From inductive hypothesis
        assert n > 0; // n is a natural number
        assert n * Factorial(n - 1) > 0; // n is positive and Factorial(n - 1) is positive
    }
}
``` #include "pch.h"

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.
### Hint: Use a nat, NOT an int.

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

lemma {:induction} FactorialPositive(n: nat)
    requires n <= 1000
    ensures 0 < Factorial(n)
{
    if n == 0 {
        // Base case
    } else {
        // Inductive step
        FactorialPositive(n - 1);
        assert Factorial(n - 1) > 0; // From inductive hypothesis
        assert n > 0; // n is a natural number
        assert n * Factorial(n - 1) > 0; // n is positive and Factorial(n - 1) is positive
    }
}
``` #include "pch.h"


STATS

number of nodes: 17
number of gen nodes: 9 (including leaves: 1)
number of back nodes: 8 (including leaves: 8)

expansion count: 11 (including failed: 3)