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https://github.com/leanprover/lean4.git
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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
2.6 KiB
Lean4
87 lines
2.6 KiB
Lean4
module
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set_option grind.debug true
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set_option pp.structureInstances false
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open Int.Linear
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theorem ex₁ (a : Int) (h₁ : 2 ∣ a) (h₂ : 2 ∣ 2*a + 1 - a) : False := by
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grind
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theorem ex₂ (a b : Int) (h₀ : 2 ∣ a + 1) (h₁ : 2 ∣ b + a) (h₂ : 2 ∣ b + 2*a) : False := by
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grind
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theorem ex₃ (a b : Int) (_ : 2 ∣ a + 1) (h₁ : 3 ∣ a + 3*b + a) (h₂ : 2 ∣ 3*b + a + 3 - b) (h₃ : 3 ∣ 3 * b + 2 * a + 1) : False := by
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grind
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theorem ex₄ (f : Int → Int) (a b : Int) (_ : 2 ∣ f (f a) + 1) (h₁ : 3 ∣ f (f a) + 3*b + f (f a)) (h₂ : 2 ∣ 3*b + f (f a) + 3 - b) (h₃ : 3 ∣ 3 * b + 2 * f (f a) + 1) : 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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/--
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trace: [grind.debug.lia.search.assign] a := 1
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[grind.debug.lia.search.assign] b := 0
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-/
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#guard_msgs (trace) in -- finds the model without any backtracking
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set_option trace.grind.debug.lia.search.assign true in
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example (a b : Int) (_ : 2 ∣ a + 3) (_ : 3 ∣ a + b - 4) : 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.lia.assert] 2 ∣ a + 3
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[grind.lia.assert] 3 ∣ a + 3*b + -4
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[grind.debug.lia.search.assign] a := 1
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[grind.debug.lia.search.assign] b := 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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set_option trace.grind.debug.lia.search.assign true in
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example (a b : Int) (_ : 2 ∣ a + 3) (_ : 3 ∣ a + 3*b - 4) : 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.debug.lia.search.assign] a := 1
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[grind.debug.lia.search.assign] b := 15
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-/
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#guard_msgs (trace) in
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set_option trace.grind.debug.lia.search.assign true in
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example (a b : Int) (_ : 2 ∣ a + 3) (_ : 3 ∣ a + b - 4) (_ : b < 18): 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.debug.lia.search.assign] a := 1
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[grind.debug.lia.search.assign] b := 12
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-/
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#guard_msgs (trace) in
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set_option trace.grind.debug.lia.search.assign true in
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example (a b : Int) (_ : 2 ∣ a + 3) (_ : 3 ∣ a + b - 4) (_ : b ≥ 11): 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.debug.lia.search.assign] f 0 := 11
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[grind.debug.lia.search.assign] f 1 := 2
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[grind.debug.lia.search.assign] 「1」 := 1
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[grind.debug.lia.search.assign] 「0」 := 0
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-/
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#guard_msgs (trace) in
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set_option trace.grind.debug.lia.search.assign true in
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example (f : Int → Int) (_ : 2 ∣ f 0 + 3) (_ : 3 ∣ f 0 + f 1 - 4) (_ : f 0 ≥ 11): False := by
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fail_if_success grind
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sorry
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example (x : Int) (_ : 10 ∣ x) (_ : ¬ 5 ∣ x) : False := by
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grind
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example (x : Nat) (_ : 10 ∣ x) (_ : ¬ 5 ∣ x) : False := by
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grind
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example (a b : Int) (h₀ : 2 ∣ a + 1) (h₁ : 2 ∣ b + a) (h₂ : 2 ∣ b + 2*a) : False := by
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fail_if_success grind -lia
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sorry
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