# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

25 results; page 1/1.

## Question 31101: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0026`; number: 31101
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0026/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0026.json)

## Question 31102: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0027`; number: 31102
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0027/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0027.json)

## Question 31103: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0028`; number: 31103
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0028/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0028.json)

## Question 31104: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0029`; number: 31104
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0029/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0029.json)

## Question 31105: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0030`; number: 31105
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0030/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0030.json)

## Question 31106: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0031`; number: 31106
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0031/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0031.json)

## Question 31107: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0032`; number: 31107
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0032/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0032.json)

## Question 31108: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0033`; number: 31108
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0033/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0033.json)

## Question 31109: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0034`; number: 31109
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0034/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0034.json)

## Question 31110: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0035`; number: 31110
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0035/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0035.json)

## Question 31111: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0036`; number: 31111
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0036/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0036.json)

## Question 31112: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0037`; number: 31112
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0037/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0037.json)

## Question 31113: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0038`; number: 31113
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0038/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0038.json)

## Question 31114: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0039`; number: 31114
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0039/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0039.json)

## Question 31115: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0040`; number: 31115
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0040/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0040.json)

## Question 31116: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0041`; number: 31116
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0041/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0041.json)

## Question 31117: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0042`; number: 31117
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0042/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0042.json)

## Question 31118: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0043`; number: 31118
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0043/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0043.json)

## Question 31119: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0044`; number: 31119
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0044/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0044.json)

## Question 31120: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0045`; number: 31120
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0045/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0045.json)

## Question 31121: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0046`; number: 31121
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0046/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0046.json)

## Question 31122: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0047`; number: 31122
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0047/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0047.json)

## Question 31123: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0048`; number: 31123
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0048/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0048.json)

## Question 31124: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0049`; number: 31124
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0049/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0049.json)

## Question 31125: Three Domain Guards before Counterexample Evaluation

- ID: `q-20261012-advance-20261017-r07-counterexample-0050`; number: 31125
- Processing: second_context_reviewed
- MKO: [mko-counterexample](/en/mko/mko-counterexample/)
- Family: [qf-density17-counter-three-candidate-guards](/en/explore/?family=qf-density17-counter-three-candidate-guards)
- Batch: [batch-20261012-advance-20261017-r07-counterexample-foundations](/en/explore/?batch=batch-20261012-advance-20261017-r07-counterexample-foundations)
- [Derivation](/en/questions/q-20261012-advance-20261017-r07-counterexample-0050/) / [Markdown](/en/questions/q-20261012-advance-20261017-r07-counterexample-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261012-advance-20261017-r07-counterexample-0050.json)

