O3 mini level model vs BEST phone size model?

But wait! (Sorry, just a reasoning model joke) this is the output of DeepSeek R1 for your prompt. I didn’t check the logic puzzle because I perform worse than most models at that, but you can definitely see the thinking part: It won’t let me copy the thinking section but it went on like this for a few miles worth of text, then spit out the answer below: **Hard Logic Puzzle:** Four cards lie on a table, each labeled 1 to 4. On the back of each card is a statement: 1. “The number of true statements is greater than my number.” 2. “The number of true statements is less than my number.” 3. “The number of true statements is not equal to my number.” 4. “Exactly three of these statements are false.” **Question:** Which cards have **true** statements? — **Solution:** Let’s analyze all possible numbers of true statements (1, 2, 3, or 4) and eliminate contradictions. 1. **Assume only 1 card is true:** - If card 1 is true: “True count > 1” → False (only 1). Contradiction. - If card 2 is true: “True count < 2” → True (1 < 2). But card 3 would also state “True count ≠ 3” → True (1 ≠ 3). This makes **2 true statements**, contradicting the assumption. - If card 3 is true: “True count ≠ 3” → True (1 ≠ 3). But card 1 states “True count > 1” → False, and card 2 states “True count < 2” → True (1 < 2). This again results in **2 true statements**. Contradiction. - Card 4 can’t be true alone, as it claims “Exactly 3 are false,” which would make itself the only true statement. But then card 2’s “True count < 2” would also be true (1 < 2), creating a contradiction. 2. **Assume 2 cards are true:** - If cards 1 and 3 are true: - Card 1: “True count > 1” → True (2 > 1). - Card 3: “True count ≠ 3” → True (2 ≠ 3). - Card 2: “True count < 2” → False (2 ≮ 2). - Card 4: “Exactly 3 false” → False (2 are false). **No contradictions.** This works. - Other combinations fail: - Cards 1 and 2: Card 2’s “True count < 2” contradicts 2 being true. - Cards 2 and 3: Card 2’s “True count < 2” invalidates 2 truths. - Cards 3 and 4: Card 4 is false. 3. **Assume 3 cards are true:** - Card 3 would state “True count ≠ 3” → False (3 = 3). Contradiction. 4. **Assume all 4 are true:** - Card 1: “True count > 1” → True, but card 4’s “Exactly 3 false” is False. Contradiction. **Answer:** Cards **1 and 3** are true.