3ce7dd318d
This PR improves the diagnostic information produced by `grind`. It now sorts the equivalence classes by generation and then `Expr. lt`.
99 lines
2.7 KiB
Text
99 lines
2.7 KiB
Text
set_option grind.warning false
|
||
opaque f [Inhabited α] : α → α
|
||
theorem feq [Inhabited α] [Add α] [One α] (x : α) : f x = f (f x) + 1 := sorry
|
||
opaque g [Inhabited α] : α → α → α
|
||
theorem geq [Inhabited α] (x : α) : g x x = x := sorry
|
||
|
||
/--
|
||
error: `grind` failed
|
||
case grind
|
||
α : Type u_1
|
||
inst : Inhabited α
|
||
inst_1 : Add α
|
||
inst_2 : One α
|
||
x z y : α
|
||
h : g y z = z
|
||
h_1 : g z y = g y x
|
||
h_2 : ¬f x = g x x
|
||
⊢ False
|
||
[grind] Goal diagnostics
|
||
[facts] Asserted facts
|
||
[prop] g y z = z
|
||
[prop] g z y = g y x
|
||
[prop] ¬f x = g x x
|
||
[prop] f x = f (f x) + 1
|
||
[prop] g x x = x
|
||
[prop] f (f x) = f (f (f x)) + 1
|
||
[prop] f (f (f x)) = f (f (f (f x))) + 1
|
||
[eqc] False propositions
|
||
[prop] f x = g x x
|
||
[eqc] Equivalence classes
|
||
[eqc] {x, g x x}
|
||
[eqc] {z, g y z}
|
||
[eqc] {f x, f (f x) + 1}
|
||
[eqc] {g z y, g y x}
|
||
[eqc] {f (f x), f (f (f x)) + 1}
|
||
[eqc] {f (f (f x)), f (f (f (f x))) + 1}
|
||
[ematch] E-matching patterns
|
||
[thm] feq: [@f #4 #3 #0]
|
||
[thm] geq: [@g #2 #1 #0 #0]
|
||
[limits] Thresholds reached
|
||
[limit] maximum term generation has been reached, threshold: `(gen := 3)`
|
||
[grind] Diagnostics
|
||
[thm] E-Matching instances
|
||
[thm] feq ↦ 3
|
||
[thm] geq ↦ 1
|
||
-/
|
||
#guard_msgs (error) in
|
||
example [Inhabited α] [Add α] [One α] (x z y : α) : g y z = z → g z y = g y x → f x = g x x := by
|
||
grind (gen := 3) [= feq, = geq]
|
||
|
||
/--
|
||
error: `grind` failed
|
||
case grind
|
||
x z y : Int
|
||
h : g y z = z
|
||
h_1 : g z y = g y x
|
||
h_2 : ¬f (f x) = g x x
|
||
⊢ False
|
||
[grind] Goal diagnostics
|
||
[facts] Asserted facts
|
||
[prop] g y z = z
|
||
[prop] g z y = g y x
|
||
[prop] ¬f (f x) = g x x
|
||
[prop] f x + -1 * f (f x) + -1 = 0
|
||
[prop] f (f x) + -1 * f (f (f x)) + -1 = 0
|
||
[prop] g x x = x
|
||
[prop] f (f (f x)) + -1 * f (f (f (f x))) + -1 = 0
|
||
[eqc] False propositions
|
||
[prop] f (f x) = g x x
|
||
[eqc] Equivalence classes
|
||
[eqc] {x, g x x}
|
||
[eqc] {z, g y z}
|
||
[eqc] {g z y, g y x}
|
||
[eqc] {0, f x + -1 * f (f x) + -1, f (f x) + -1 * f (f (f x)) + -1, f (f (f x)) + -1 * f (f (f (f x))) + -1}
|
||
[ematch] E-matching patterns
|
||
[thm] feq: [@f #4 #3 #0]
|
||
[thm] geq: [@g #2 #1 #0 #0]
|
||
[cutsat] Assignment satisfying linear constraints
|
||
[assign] x := 5
|
||
[assign] z := 3
|
||
[assign] y := 2
|
||
[assign] f x := 1
|
||
[assign] f (f x) := 0
|
||
[assign] g x x := 5
|
||
[assign] g z y := 4
|
||
[assign] g y x := 4
|
||
[assign] g y z := 3
|
||
[assign] f (f (f x)) := -1
|
||
[assign] f (f (f (f x))) := -2
|
||
[limits] Thresholds reached
|
||
[limit] maximum term generation has been reached, threshold: `(gen := 2)`
|
||
[grind] Diagnostics
|
||
[thm] E-Matching instances
|
||
[thm] feq ↦ 3
|
||
[thm] geq ↦ 1
|
||
-/
|
||
#guard_msgs (error) in
|
||
example (x z y : Int) : g y z = z → g z y = g y x → f (f x) = g x x := by
|
||
grind (gen := 2) -ring [= feq, = geq]
|