Semantic Verification

# These all verify as the SAME claim:
claims = [
    "The Eiffel Tower is located in Paris",
    "Paris contains the Eiffel Tower",
    "You can find the Eiffel Tower in Paris, France",
    "The Eiffel Tower stands in the French capital"
]
 
for claim in claims:
    result = client.verify(claim)
    print(f"{result['confidence']:.2f}")  # All return ~0.95

"dog"    → [0.12, -0.34, 0.56, ...]
"canine" → [0.11, -0.33, 0.55, ...]  # Very similar
"cat"    → [0.08, -0.21, 0.42, ...]  # Related but distinct
"chair"  → [-0.45, 0.23, -0.12, ...] # Very different

similarity(dog, canine) = 0.97  # Nearly identical meaning
similarity(dog, cat)    = 0.72  # Related concepts
similarity(dog, chair)  = 0.15  # Unrelated

Input:
"Albert Einstein developed the theory of relativity in 1905
while working at the Swiss patent office."

Decomposed Claims:
1. "Albert Einstein developed the theory of relativity"
2. "The theory of relativity was developed in 1905"
3. "Albert Einstein worked at the Swiss patent office"
4. "Einstein developed relativity while at the patent office"

"CEO" ≈ "Chief Executive Officer"
"NYC" ≈ "New York City"
"USA" ≈ "United States of America"

"dog" is_a "mammal" is_a "animal"
"Paris" part_of "France" part_of "Europe"

"water" has_property "liquid" (at room temperature)
"sun" has_property "hot"

# "Apple" in technology context
result = client.verify("Apple released the iPhone in 2007")
# Correctly identifies Apple Inc., not the fruit
 
# "Apple" in food context
result = client.verify("Apples are a healthy fruit rich in fiber")
# Correctly identifies the fruit

# Positive claim
result = client.verify("The Earth orbits the Sun")
# verified: true, confidence: 0.98
 
# Negated claim
result = client.verify("The Earth does not orbit the Sun")
# verified: false, confidence: 0.02 (correctly identified as false)
 
# Double negation
result = client.verify("It is not true that the Earth doesn't orbit the Sun")
# verified: true, confidence: 0.95

# Approximate matching
client.verify("Paris has about 2 million people")
# Matches knowledge that Paris population is ~2.1 million
 
# Range validation
client.verify("The boiling point of water is 100°C")
# Verified against known physical constants
 
# Unit conversion
client.verify("The marathon is 26.2 miles")  # or "42.195 km"
# Both verify correctly

# Historical facts
client.verify("World War II ended in 1945")
# verified: true (historical fact)
 
# Relative time
client.verify("Einstein was born before Hawking")
# verified: true (1879 < 1942)
 
# Current state (use with caution)
client.verify("Joe Biden is the US President")
# May vary based on knowledge cutoff