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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.
70 lines
1.9 KiB
Lean4
70 lines
1.9 KiB
Lean4
module
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example (f : Int → Int) (x : Int)
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: 0 ≤ x → x ≠ 0 → x ≤ 1 → f x = 2 → f 1 = 2 := by
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grind
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-- In the following example, model-based theory combination is disabled,
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-- and we have an invalid counterexample where `x := 1`,
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-- but `f x` and `f 1` have different assignments.
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/--
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trace: [grind.lia.model] x := 1
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[grind.lia.model] f x := 2
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[grind.lia.model] f 1 := 5
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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 (f : Int → Int) (x : Int)
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: 0 ≤ x → x ≠ 0 → x ≤ 1 → f x = 2 → f 1 = 2 := by
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fail_if_success grind -mbtc
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sorry
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/--
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trace: [grind.lia.model] x := 2
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[grind.lia.model] f x := 2
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[grind.lia.model] f 1 := 5
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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 (f : Int → Int) (x : Int)
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: 0 ≤ x → x ≠ 0 → x ≤ 3 → f x = 2 → f 1 = 2 := by
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fail_if_success grind
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sorry
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example (f : Int → Int → Int) (x y : Int)
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: 0 ≤ x → x ≠ 0 → x ≤ 1 → f x y = 2 → f 1 y = 2 := by
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grind
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example (f : Nat → Nat) (x : Nat)
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: x ≠ 0 → x ≤ 1 → f x = 2 → f 1 = 2 := by
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grind
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example (f : Nat → Nat → Nat) (x y : Nat)
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: x ≠ 0 → x ≤ 1 → f x y = 2 → f 1 y = 2 := by
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grind
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-- `b` must not be `2`. Otherwise, `f (b+1)` and `f 3` must be equal.
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/--
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trace: [grind.lia.model] a := 5
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[grind.lia.model] b := 3
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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 (f : Int → α) (a b : Int) : b > 1 → f (b + 1) = x → f 3 = y → x = y := by
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(fail_if_success grind); sorry
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-- `b` must not be `2`. Otherwise, `f (b+1)` and `f 3` must be equal.
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/--
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trace: [grind.lia.model] x := 5
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[grind.lia.model] y := 6
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[grind.lia.model] a := 7
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[grind.lia.model] b := 3
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[grind.lia.model] f 3 := 6
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[grind.lia.model] f (b + 1) := 5
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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 (f : Int → Int) (a b : Int) : b > 1 → f (b + 1) = x → f 3 = y → x = y := by
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(fail_if_success grind); sorry
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