Run Details #1128

Model

GPT-5.6 Luna

Score

100

Correct (≥100)

16/16

Incorrect (<100)

0

Median Time

1244.0ms

Tokens Used

2927

Cost

$0.0062

Benchmark: 0152_syllogism_validity
Run Date: 2026-07-27 17:35:46
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 conclusion follows directly: if all mammals are warm-blooded and all whales are mammals, then all whales are warm-blooded.",
  "answer": "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": "The premises state that no prime number greater than 2 is even, and that 11 is a prime number greater than 2. Therefore, 11 is not even.",
  "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 premises state that all doctors have medical degrees, but having a medical degree does not necessarily mean someone is a doctor. The conclusion does not logically follow.",
  "answer": "Invalid"
}

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 students who are athletes must be disciplined because all athletes are disciplined. Therefore, some students are disciplined.",
  "answer": "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": "The premises do not establish that any of the writers who are teachers are also poets. Therefore, the conclusion does not necessarily follow.",
  "answer": "Invalid"
}

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 premises establish that some birds are flightless and that all penguins are birds, but they do not establish that any of the flightless birds are penguins. Therefore, the conclusion does not necessarily follow.",
  "answer": "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": "All frogs are amphibians, and no amphibians are mammals. Therefore, frogs cannot be mammals.",
  "answer": "Valid"
}

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": "Some pets are cats, and all cats are mammals. Therefore, those pets that are cats are also mammals.",
  "answer": "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 premises do not establish that any illustrated books are novels. The illustrated books could be books that are not novels, so the conclusion does not necessarily follow.",
  "answer": "Invalid"
}

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 premises do not establish that any of the artists who are musicians are painters. Therefore, the conclusion does not necessarily follow.",
  "answer": "Invalid"
}

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 engineer who is a musician must be creative because all musicians are creative. Therefore, some engineers are creative.",
  "answer": "Valid"
}

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": "If all squares are rectangles, and no rectangles are circles, then squares cannot be circles. Therefore, the conclusion follows logically.",
  "answer": "Valid"
}

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 premises do not establish that any of the thinkers who are scientists are philosophers. Therefore, the conclusion does not necessarily follow.",
  "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 follows directly from the premises: all planets orbit stars, and Earth is a planet.",
  "answer": "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": "All bees are insects, and no insects are mammals. Therefore, bees cannot be mammals.",
  "answer": "Valid"
}

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": "All snakes are reptiles, and no reptiles are warm-blooded. Therefore, no snakes are warm-blooded.",
  "answer": "Valid"
}