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.
94 lines
2.3 KiB
Text
94 lines
2.3 KiB
Text
/-!
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# Tests for `exact? +grind` and `apply? +grind`
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These tests verify that the `+grind` option is accepted syntactically and
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enables `grind` as a fallback discharger for subgoals.
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-/
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/--
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info: Try this:
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[apply] exact List.ne_nil_of_length_pos h
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-/
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#guard_msgs in
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example (l : List Nat) (h : 0 < l.length) : l ≠ [] := by exact?
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/--
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info: Try this:
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[apply] exact List.ne_nil_of_length_pos (h trivial)
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-/
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#guard_msgs in
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example (l : List Nat) (h : True → 0 < l.length) : l ≠ [] := by exact?
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example (l : List Nat) (h : 1 < l.length) : l ≠ [] := by exact List.ne_nil_of_length_pos (by grind)
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/--
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info: Try this:
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[apply] exact List.ne_nil_of_length_pos (by grind)
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-/
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#guard_msgs in
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example (l : List Nat) (h : 1 < l.length) : l ≠ [] := by
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exact? +grind
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/--
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info: Try this:
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[apply] exact List.ne_nil_of_length_pos (by grind)
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-/
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#guard_msgs in
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example {P : Prop} (l : List Nat) (p : P) (h : P → 1 < l.length) : l ≠ [] := by
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exact? +grind
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axiom foo (x : Nat) : x < 37 → 5 < x → x.log2 < 6
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/--
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info: Try this:
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[apply] exact foo x (by grind) (by grind)
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-/
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#guard_msgs in
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example (x : Nat) (h₁ : x < 30) (h₂ : 8 < x) : x.log2 < 6 := by
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exact? +grind
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inductive MyList (α : Type _) where
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| nil : MyList α
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| cons : α → MyList α → MyList α
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axiom MyListProp : MyList α → Prop
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axiom MyListProp2 : MyList α → Prop
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@[grind .] axiom mylist_nil : MyListProp (MyList.nil : MyList α)
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@[grind .] axiom mylist_cons : ∀ (x : α) (xs : MyList α), MyListProp xs → MyListProp (MyList.cons x xs)
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/--
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info: Try these:
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[apply] (induction xs) <;> grind
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[apply] (induction xs) <;> grind only [mylist_nil, mylist_cons]
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[apply] ·
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induction xs
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· grind => instantiate only [mylist_nil]
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· grind => instantiate only [mylist_cons]
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-/
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#guard_msgs in
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example (xs : MyList α) : MyListProp xs := by
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try?
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axiom qux (xs : MyList α) (p : MyListProp xs) : MyListProp2 xs
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/--
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info: Try these:
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[apply] (induction xs) <;> grind
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[apply] (induction xs) <;> grind only [mylist_nil, mylist_cons]
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[apply] ·
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induction xs
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· grind => instantiate only [mylist_nil]
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· grind => instantiate only [mylist_cons]
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-/
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#guard_msgs in
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example (xs : MyList α) : MyListProp2 xs := by
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exact qux xs (by try?)
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/--
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info: Try this:
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[apply] exact qux xs (by try?)
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-/
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example (xs : MyList α) : MyListProp2 xs := by
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exact? +try?
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