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.
30 lines
900 B
Text
30 lines
900 B
Text
-- Test that lia now uses grind tactic script with cases_next
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-- Basic linear arithmetic - should still work without case-splits
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example (x y : Int) : 2 * x + 4 * y ≠ 5 := by
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lia
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example (x y : Int) : 2 * x + 3 * y = 0 → 1 ≤ x → y < 1 := by
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lia
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example (a b : Int) : 2 ∣ a + 1 → 2 ∣ b + a → ¬ 2 ∣ b + 2 * a := by
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lia
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-- Tests that require case-splitting
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-- These require the `cases_next` to split on hypotheses before lia can solve
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-- Case-split on hypothesis, then solve with lia
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example (x : Nat) (h : x = 0 ∨ x = 1) : x ≤ 1 := by
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lia
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-- Multiple nested case-splits
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example (x y : Nat) (h1 : x = 0 ∨ x = 1) (h2 : y = 0 ∨ y = 1) : x + y ≤ 2 := by
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lia
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-- Case-split on if-then-else
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example (x : Int) : (if x > 0 then x else -x) ≥ 0 := by
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lia
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-- Case-split with arithmetic in branches
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example (x : Int) : (if x > 0 then 2*x else 0) ≥ 0 := by
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lia
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