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.
87 lines
2.2 KiB
Text
87 lines
2.2 KiB
Text
module
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example : ∀ x : Int, x > 7 → 2 * x > 14 := by
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grind
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example : ∀ x : Int, 4 * x = 6 → 2 * x = 3 → False := by
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grind
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example (x y z : Int) (h : 2 * x + 3 * y - 4 * z = 11) :
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2 * x ≥ 11 - 3 * y + 4 * z := by
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grind
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theorem ex (x y z : Int) :
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(15*x + 7*y - 11*z = 10) ∧
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(8*x + 2*y - 6*z = 4) ∧
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(6*x + 6*y - 11*z = 9) ∧
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(9*x + 3*y = 15) ∧
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(9*x + 3*y = 16)
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→ False := by
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grind
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abbrev problem (x y z w v : Int) : Prop :=
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(x + 2*y + 3*z - w + v = 0) ∧
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(2*x - y + 7*z + 2*w = 14) ∧
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(v - 4*w ≥ 1) ∧
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(w ≥ 0) ∧
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(z ≤ 4) ∧
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(x ≥ -10) ∧
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(y ≤ 10) ∧
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(y ≥ -10)
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/--
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trace: [grind.lia.model] x := 121
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[grind.lia.model] y := -10
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[grind.lia.model] z := -34
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[grind.lia.model] w := 0
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[grind.lia.model] v := 1
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-/
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#guard_msgs (trace) in
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set_option trace.grind.lia.model true in
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example (x y z w v : Int) : problem x y z w v → False := by
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fail_if_success grind
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sorry
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/-- info: true -/
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#guard_msgs in
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#eval decide (problem 121 (-10) (-34) 0 1)
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example (x y : Int) : 4*x + 6*y = 9 → 5*x - 2*y = 1 → False := by
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grind
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example (x y z : Int) :
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7*x + 2*y + 3*z = 25 → 2*x - 8*y + 11*z = 14 →
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9*x + 4*y - 10*z = -1 → False := by
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grind
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example (x y z : Int) :
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x + y + z = 6 → 2*x + 4*y - z = 7 →
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x ≥ 3 → x ≤ 4 → 10*y ≥ 6 →
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10*y ≤ 10 → z ≥ 2 → z ≤ 3 → False := by
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grind
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example (p r : Int) :
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2*(p - r) = 1 → False := by
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grind
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example (p q : Int) :
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6*p + 9*q = 15 → 4*p - 3*q ≤ 1 →
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5*p + 2*q ≥ 8 → p ≥ 0 → q ≤ 6 → False := by
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grind
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example (x y : Int) :
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6*x + 9*y = 12 → 4*x - 2*y ≥ 1 →
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5*x + 10*y ≤ 7 → x ≥ 0 → x ≤ 4 →
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8*x - 5*y ≥ -3 → False := by
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grind
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example (x y z : Int) :
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2 ≤ 12*x + 5*y + 7*z → 12*x + 5*y + 7*z ≤ 5 →
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-5 ≤ 3*x - 11*y + 2*z → 3*x - 11*y + 2*z ≤ -1 →
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10 ≤ 8*x + 9*y - 4*z → 8*x + 9*y - 4*z ≤ 12 → False := by
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grind
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example (x y : Int) (h : x < y) (z : { z : Int // y ≤ z ∧ z ≤ x }) : False := by
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grind
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example (x y : Int) (h : x < y) (z : { z : Int // y ≤ z ∧ z ≤ x }) : Nat := by
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grind
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