0d3ae7fde5
This PR adds infrastructure necessary for supporting `Nat` in the cutsat procedure. It also makes the `grind` more robust.
58 lines
1.3 KiB
Text
58 lines
1.3 KiB
Text
def g (i : Nat) (j : Nat) := i + j
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set_option grind.debug true
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set_option grind.debug.proofs true
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set_option trace.grind.offset.model true
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/--
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info: [grind.offset.model] i := 1
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[grind.offset.model] j := 0
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[grind.offset.model] 「0」 := 0
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[grind.offset.model] 「i + 1」 := 2
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-/
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#guard_msgs (info) in
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example (i j : Nat) (h : i + 1 > j + 1) : g (i+1) j = i + 1 := by
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fail_if_success grind
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sorry
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/--
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info: [grind.offset.model] i := 101
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[grind.offset.model] 「0」 := 0
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-/
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#guard_msgs (info) in
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example (i : Nat) : i ≤ 100 := by
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fail_if_success grind
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sorry
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/--
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info: [grind.offset.model] i := 99
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[grind.offset.model] 「0」 := 0
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-/
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#guard_msgs (info) in
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example (i : Nat) : 100 ≤ i := by
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fail_if_success grind
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sorry
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/--
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info: [grind.offset.model] n := 0
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[grind.offset.model] j := 0
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[grind.offset.model] i := 99
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[grind.offset.model] 「0」 := 0
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[grind.offset.model] 「n + 1」 := 1
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-/
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#guard_msgs (info) in
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example (i : Nat) : g (n + 1) m = a → 100 + j ≤ i := by
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fail_if_success grind
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sorry
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/--
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info: [grind.offset.model] n := 0
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[grind.offset.model] j := 101
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[grind.offset.model] i := 0
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[grind.offset.model] 「0」 := 0
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[grind.offset.model] 「n + 1」 := 1
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-/
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#guard_msgs (info) in
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example (i : Nat) : g (n + 1) m = a → j ≤ i + 100 := by
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fail_if_success grind
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sorry
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