Run Details #815
Model
SmolLM2 1.7B (LMStudio)
Score
12
Correct (≥100)
2/16
Incorrect (<100)
14
Median Time
1063.0ms
Tokens Used
3309
Cost
870µ$
Benchmark:
0152_syllogism_validity
Run Date: 2026-03-03 05:51:32
Questions (16)
Question: Evaluate this syllogism:
Premise 1: All mammals are warm-blooded.
Premise 2: All whales are mammals.
Conclusion: Therefore, all whales are warm-blooded.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is invalid because it makes a generalization about all whales based on the characteristics of mammals and whales that are in general common to both groups, without considering the specific attributes that make whales unique among mammals.",
"answer": "2"
}
Question: Evaluate this syllogism:
Premise 1: No prime numbers greater than 2 are even.
Premise 2: 11 is a prime number greater than 2.
Conclusion: Therefore, 11 is not even.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The premise states that no prime numbers greater than 2 are even. The second premise introduces a prime number, which is greater than 2 and therefore does not fit within the stated rule. However, this introduction of an individual case (11) does not affect the overall validity of the premise as it was intended to be applied to all primes greater than 2.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: All doctors have medical degrees.
Premise 2: Sarah has a medical degree.
Conclusion: Therefore, Sarah is a doctor.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The premise states that all doctors have medical degrees, and the second premise states that Sarah has a medical degree. From these premises, it logically follows that Sarah is a doctor.",
"answer": "{1. Valid}"
}
Question: Evaluate this syllogism:
Premise 1: Some students are athletes.
Premise 2: All athletes are disciplined.
Conclusion: Therefore, some students are disciplined.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The conclusion is logically valid because it follows a syllogistic form where a subset (athletes) is defined within a larger category (students), and then an attribute associated with the subset (discipline) can be inferred.",
"answer": "{\"1\": \"Valid\", \"2\": \"Invalid\"}"
}
Question: Evaluate this syllogism:
Premise 1: All poets are writers.
Premise 2: Some writers are teachers.
Conclusion: Therefore, some poets are teachers.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The first premise states that all poets are writers and the second premise states that some writers are teachers. From these premises, we cannot determine if all poets are teachers or if only a subset of poets can become teachers. However, it is logically possible for a poet to be a teacher by virtue of being a writer. Therefore, we cannot conclude with absolute certainty that 'some poets are teachers' given the information provided.",
"answer": "2."
}
Question: Evaluate this syllogism:
Premise 1: Some birds are flightless.
Premise 2: All penguins are birds.
Conclusion: Therefore, some penguins are flightless.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The first premise states that 'Some birds are flightless.' This is an example of a disjunctive syllogism, which means it provides two options and eliminates one, so this premise logically validates the second premise in this instance.",
"answer": "2. Invalid"
}
Question: Evaluate this syllogism:
Premise 1: No amphibians are mammals.
Premise 2: All frogs are amphibians.
Conclusion: Therefore, no frogs are mammals.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The conclusion that no frogs are mammals is logically valid given the premises because it follows a categorical syllogism with a clear and specific relationship between the terms.",
"answer": "1."
}
Question: Evaluate this syllogism:
Premise 1: All cats are mammals.
Premise 2: Some pets are cats.
Conclusion: Therefore, some pets are mammals.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The first premise states that all cats are mammals and the second premise states that some pets are cats. From these two premises, we can infer that at least one mammal is a pet. Therefore, since there are many other types of animals that are not considered pets (like dogs or birds), it logically follows that 'some' pets must be mammals. This conclusion is valid as the number of non-mammals being pets does not affect the possibility that some pets could also be mammals.",
"answer": "1. Valid"
}
Question: Evaluate this syllogism:
Premise 1: All novels are books.
Premise 2: Some books are illustrated.
Conclusion: Therefore, some novels are illustrated.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The argument is invalid because it confuses a subset with an equivalent statement. The first premise states that all novels are books (a universal quantification), while the second premise only asserts that some books are illustrated, which does not imply that all books are illustrated.",
"answer": "2"
}
Question: Evaluate this syllogism:
Premise 1: All painters are artists.
Premise 2: Some artists are musicians.
Conclusion: Therefore, some painters are musicians.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "Given the premise \"All painters are artists\", we know that being a painter implies being an artist. From Premise 2, 'Some artists are musicians,' it can be inferred that there is overlap between artists and musicians because some artists are also musicians.",
"answer": "{{1}}"
}
Question: Evaluate this syllogism:
Premise 1: Some engineers are musicians.
Premise 2: All musicians are creative.
Conclusion: Therefore, some engineers are creative.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The first premise states that some engineers are musicians, while the second premise states that all musicians are creative. This implies that there must be a subset of musicians who can also be classified as engineers due to their shared attribute (musician). Therefore, we can logically conclude that some engineers may have been influenced by or exhibit aspects of creativity like the musicians.",
"answer": "1"
}
Question: Evaluate this syllogism:
Premise 1: All squares are rectangles.
Premise 2: No rectangles are circles.
Conclusion: Therefore, no squares are circles.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The premise \"All squares are rectangles\" establishes a relationship between the two concepts, while the premise \"No rectangles are circles\" restricts the properties of rectangles to exclude any possibility of being a circle. However, there is no direct evidence provided that squares have this same restriction placed on them when related to circles.",
"answer": "2."
}
Question: Evaluate this syllogism:
Premise 1: All philosophers are thinkers.
Premise 2: Some thinkers are scientists.
Conclusion: Therefore, some philosophers are scientists.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The conclusion does not logically follow from the premises.",
"answer": "Invalid"
}
Question: Evaluate this syllogism:
Premise 1: All planets orbit stars.
Premise 2: Earth is a planet.
Conclusion: Therefore, Earth orbits a star.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The conclusion logically follows from the premise since being a planet implies that Earth orbits a star.",
"answer": "[1]"
}
Question: Evaluate this syllogism:
Premise 1: No insects are mammals.
Premise 2: All bees are insects.
Conclusion: Therefore, no bees are mammals.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The premise 'No insects are mammals' implies that no insect can be a mammal, which aligns perfectly with the conclusion 'no bees are mammals'. However, it does so by negating an entirely different characteristic ('mammal' is not a characteristic of any type of insect), rather than directly comparing the properties between two types of creatures. This means that the premise doesn't logically lead to the conclusion; the premises don't share a common attribute or property that would make their conclusion follow naturally.",
"answer": "Invalid"
}
Question: Evaluate this syllogism:
Premise 1: No reptiles are warm-blooded.
Premise 2: All snakes are reptiles.
Conclusion: Therefore, no snakes are warm-blooded.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is invalid because it contains a non-sequitur, where the conclusion does not follow logically from the premises. Specifically, the premise about no reptiles being warm-blooded is unrelated to the premise about all snakes being reptiles, and their combination leads to an incorrect conclusion that no snakes are warm-blooded.",
"answer": "Invalid"
}