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.
77 lines
3.1 KiB
Text
77 lines
3.1 KiB
Text
module
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open Std Lean.Grind
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variable (R : Type u) [IntModule R] [LE R] [LT R] [LawfulOrderLT R] [IsLinearOrder R] [OrderedAdd R]
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example (a b c : R) (h : a < b) : a + c < b + c := by grind
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example (a b c : R) (h : a < b) : c + a < c + b := by grind
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example (a b : R) (h : a < b) : -b < -a := by grind
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/--
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trace: [grind.linarith.model] a := 0
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[grind.linarith.model] b := 1
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-/
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#guard_msgs (drop error, trace) in
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set_option trace.grind.linarith.model true in
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example (a b : R) (h : a < b) : -a < -b := by grind
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example (a b c : R) (h : a ≤ b) : a + c ≤ b + c := by grind
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example (a b c : R) (h : a ≤ b) : c + a ≤ c + b := by grind
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example (a b : R) (h : a ≤ b) : -b ≤ -a := by grind
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/--
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trace: [grind.linarith.model] a := 0
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[grind.linarith.model] b := 1
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-/
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#guard_msgs (drop error, trace) in
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set_option trace.grind.linarith.model true in
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example (a b : R) (h : a ≤ b) : -a ≤ -b := by grind
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example (a : R) (h : 0 < a) : 0 ≤ a := by grind
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example (a : R) (h : 0 < a) : -2 • a < 0 := by grind
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example (a b c : R) (_ : a ≤ b) (_ : b ≤ c) : a ≤ c := by grind
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example (a b c : R) (_ : a ≤ b) (_ : b < c) : a < c := by grind
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example (a b c : R) (_ : a < b) (_ : b ≤ c) : a < c := by grind
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example (a b c : R) (_ : a < b) (_ : b < c) : a < c := by grind
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example (a : R) (h : 2 • a < 0) : a < 0 := by grind
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example (a : R) (h : 2 • a < 0) : 0 ≤ -a := by grind
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example (a b : R) (_ : a < b) (_ : b < a) : False := by grind
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example (a b : R) (_ : a < b ∧ b < a) : False := by grind
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example (a b : R) (_ : a < b) : a ≠ b := by grind
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example (a b c e v0 v1 : R) (h1 : v0 = 5 • a) (h2 : v1 = 3 • b) (h3 : v0 + v1 + c = 10 • e) :
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v0 + 5 • e + (v1 - 3 • e) + (c - 2 • e) = 10 • e := by
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grind
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example (x y z : Int) (h1 : 2 * x < 3 * y) (h2 : -4 * x + 2 * z < 0) (h3 : 12 * y - 4 * z < 0) : False := by
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grind
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example (x y z : R) (h1 : 2 • x < 3 • y) (h2 : -4 • x + 2 • z < 0) (h3 : 12 • y - 4 • z < 0) : False := by
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grind
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example (x y z : Int) (h1 : 2 • x < 3 • y) (h2 : -4 • x + 2 • z < 0) (h3 : x • y < 5) (h3 : 12 • y - 4 • z < 0) :
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False := by grind
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example (x y z : R) (h1 : 2 • x < 3 • y) (h2 : -4 • x + 2 • z < 0) (h3 : 12 • y - 4 • z < 0) :
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False := by grind
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example (x y z : Int) (hx : x ≤ 3 * y) (h2 : y ≤ 2 * z) (h3 : x ≥ 6 * z) : x = 3 * y := by
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grind
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example (x y z : R) (hx : x ≤ 3 • y) (h2 : y ≤ 2 • z) (h3 : x ≥ 6 • z) : x = 3 • y := by
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grind
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example (x y z : Int) (h1 : 2 * x < 3 * y) (h2 : -4 * x + 2 * z < 0) (h3 : x * y < 5) : ¬ 12 * y - 4 * z < 0 := by
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grind
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example (x y z : R) (h1 : 2 • x < 3 • y) (h2 : -4 • x + 2 • z < 0) : ¬ 12 • y - 4 • z < 0 := by
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grind
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example (x y z : Int) (hx : ¬ x > 3 * y) (h2 : ¬ y > 2 * z) (h3 : x ≥ 6 * z) : x = 3 * y := by
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grind
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example (x y z : R) (hx : ¬ x > 3 • y) (h2 : ¬ y > 2 • z) (h3 : x ≥ 6 • z) : x = 3 • y := by
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grind
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example (x y z : Nat) (hx : x ≤ 3 * y) (h2 : y ≤ 2 * z) (h3 : x ≥ 6 * z) : x = 3 * y := by
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grind
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example (x y z : R) (hx : x ≤ 3 • y) (h2 : y ≤ 2 • z) (h3 : x ≥ 6 • z) : x = 3 • y := by
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grind
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