08eb78a5b2
This PR sets up the new integrated test/bench suite. It then migrates all benchmarks and some related tests to the new suite. There's also some documentation and some linting. For now, a lot of the old tests are left alone so this PR doesn't become even larger than it already is. Eventually, all tests should be migrated to the new suite though so there isn't a confusing mix of two systems.
61 lines
1.7 KiB
Text
61 lines
1.7 KiB
Text
module
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set_option grind.debug true
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open Int.Linear
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theorem ex₁ (a b c : Int) : a + 2*b = 0 → c + b = -b → a = c := by
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grind
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theorem ex₂ (a b c : Int) : a + 2*b = 0 → a = c → c + b = -b := by
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grind
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theorem ex₃ (a b c : Int) : a + b + c = 0 → a = c → b = 4 → c = -2 := by
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grind
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/--
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trace: [grind.lia.assert] -1*「a + -2 * b + -2 * c」 + a + -2*b + -2*c = 0
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[grind.lia.assert] -1*「0」 = 0
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[grind.lia.assert] 「a + -2 * b + -2 * c」 = 0
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[grind.lia.assert] -1*「a + -2 * b + -2 * d」 + a + -2*b + -2*d = 0
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[grind.lia.assert] 「a + -2 * b + -2 * d」 ≠ 0
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[grind.lia.assert] -1*d + c = 0
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[grind.lia.assert] 0 ≠ 0
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-/
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#guard_msgs (trace) in
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set_option trace.grind.lia.assert true in
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theorem ex₄ (a b c d : Int) : a = 2*b + 2*c → a - 2*b - 2*d ≠ 0 → c ≠ d := by
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grind
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theorem ex₅ (a b c : Int) : c = a → a + b ≤ 3 → 2 < b + c → a + b = 3 := by
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grind
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theorem ex₆ (a b : Int) : 3 ≤ a + b → b + a ≠ 3 → a ≠ 4 - b → a ≠ 5 - b → a ≠ -b + 6 → b + a ≠ 7 → a + b ≠ 8 → b + a < 9 → False := by
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grind
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example (a b : Int) :
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b + a < 8 →
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3 ≤ a + b →
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b + a ≠ 3 →
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a ≠ 4 - b →
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a ≠ 5 - b →
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a ≠ -b + 6 →
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b + a ≠ 7 → False := by
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grind
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#print ex₁
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#print ex₂
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#print ex₃
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#print ex₄
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#print ex₅
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#print ex₆
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example (a : Int) : 1 ≤ a → a ≠ 1 → a ≤ 2 → a ≠ 2 → False := by
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grind
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example (a : Int) : 1 ≤ a → a ≤ 2 → a ≠ 1 → a ≠ 2 → False := by
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grind
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example (a : Int) : a ≠ 2 → 1 ≤ a → a ≤ 2 → a ≠ 1 → False := by
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grind
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example (a : Int) : a ≠ 1 → a ≠ 2 → 1 ≤ a → a ≤ 2 → False := by
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grind
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