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.
80 lines
2 KiB
Text
80 lines
2 KiB
Text
open Lean Grind Std
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set_option warn.sorry false
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namespace Ex1
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variable [Field Q] [LT Q] [LE Q] [LawfulOrderLT Q] [IsLinearOrder Q] [OrderedRing Q]
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variable (a₁ a₂ a₃ a₄ a₅ : Q)
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variable (α L ν : Q)
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/--
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trace: [grind.linarith.model] a₁ := 0
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[grind.linarith.model] a₂ := 0
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[grind.linarith.model] a₃ := 0
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[grind.linarith.model] a₄ := 0
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[grind.linarith.model] a₅ := 0
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[grind.linarith.model] α := 0
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[grind.linarith.model] L := 0
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[grind.linarith.model] ν := 2
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-/
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#guard_msgs in
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set_option trace.grind.linarith.model true in
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theorem upper_bound
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(hL : L = α) (hL1 : L ≤ 1)
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(ha₁ : 0 ≤ a₁) (ha₂ : 0 ≤ a₂) (ha₃ : 0 ≤ a₃) (ha₄ : 0 ≤ a₄) (ha₅ : 0 ≤ a₅)
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(hα : α = a₁ + a₂ + a₃ + a₄ + a₅) :
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ν ≤ 9/10 := by
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fail_if_success grind
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sorry
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end Ex1
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namespace Ex2
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variable (a₁ a₂ a₃ a₄ a₅ : Rat)
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variable (α L ν : Rat)
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/--
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trace: [grind.linarith.model] a₁ := 0
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[grind.linarith.model] a₂ := 0
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[grind.linarith.model] a₃ := 0
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[grind.linarith.model] a₄ := 0
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[grind.linarith.model] a₅ := 0
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[grind.linarith.model] α := 0
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[grind.linarith.model] L := 0
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[grind.linarith.model] ν := 2
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-/
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#guard_msgs in
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set_option trace.grind.linarith.model true in
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theorem upper_bound
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(hL : L = α) (hL1 : L ≤ 1)
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(ha₁ : 0 ≤ a₁) (ha₂ : 0 ≤ a₂) (ha₃ : 0 ≤ a₃) (ha₄ : 0 ≤ a₄) (ha₅ : 0 ≤ a₅)
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(hα : α = a₁ + a₂ + a₃ + a₄ + a₅) :
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ν ≤ 9/10 := by
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fail_if_success grind
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sorry
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end Ex2
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/--
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trace: [grind.linarith.model] a := 0
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[grind.linarith.model] b := 0
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[grind.linarith.model] c := 0
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-/
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#guard_msgs in
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set_option trace.grind.linarith.model true in
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example [Field α] [LE α] [LT α] [Std.IsPreorder α] [OrderedRing α] (a b c : α) (h : a = b + c) : False := by
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fail_if_success grind
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sorry
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/--
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trace: [grind.linarith.model] a := 0
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[grind.linarith.model] b := 0
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[grind.linarith.model] c := 0
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-/
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#guard_msgs in
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set_option trace.grind.linarith.model true in
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example (a b c : Rat) (h : a = b + c) : False := by
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fail_if_success grind
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sorry
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