Run Details #669

Model

Gemma 2B (LMStudio)

Score

0

Correct (≥100)

0/16

Incorrect (<100)

16

Median Time

934.5ms

Tokens Used

2982

Cost

791µ$

Benchmark: 0152_syllogism_validity
Run Date: 2026-03-02 23:12:49
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": "Premise 2 is a generalization about all mammals, and premise 1 is a specific statement about whales. Therefore, conclusion is a valid inference from the premises.",
  "answer": "{1} Valid"
}

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": "Premise 2 is a prime number greater than 2, and premise 1 says no prime numbers greater than 2 are even. Therefore, conclusion logically implies that 11 cannot be even.",
  "answer": "1. 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": "This is a valid syllogism. The premise implies the conclusion, therefore the conclusion must be true regardless of whether the premises are true or false.",
  "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": "This syllogism is valid because the conclusion follows logically from the premises. As all athletes are disciplined, and some students are athletes, it follows that some students must be disciplined.",
  "answer": "{1} Valid"
}

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": "Premise 2 implies premise 1. Therefore, conclusion follows logically.",
  "answer": "{1} Valid"
}

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 premise is true, and the conclusion follows logically from the premise. Therefore, the conclusion is valid.",
  "answer": "{1} Valid"
}

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 is logically invalid since the premise asserts that no amphibians are mammals and the premise implies that all frogs are amphibians, which contradicts the given premise.",
  "answer": "2. Invalid"
}

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": "This is a valid syllogism. From the premises, we can conclude that some pets are mammals.",
  "answer": "{1}"
}

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 conclusion is logically valid since the premise implies the conclusion.",
  "answer": "{1} Valid"
}

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": "The conclusion is logically valid because the premises logically entail the conclusion.",
  "answer": "{1} Valid"
}

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 syllogism is invalid.",
  "answer": "2"
}

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": "This syllogism is valid",
  "answer": "{1}"
}

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": "This is a valid syllogism. The conclusion follows logically from the two premises.",
  "answer": "{1} Valid"
}

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 is logically valid. From the premise that all planets orbit stars and Earth is a planet, we can conclude that Earth orbits a star.",
  "answer": "{1} Valid"
}

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 conclusion does not logically follow from the premises. The premise that all bees are insects does not imply that no bees are mammals, since there are other animals that are insects but are not mammals.",
  "answer": "2. 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.",
  "answer": "2. Invalid"
}