(* Title: HOL/Tools/Sledgehammer/sledgehammer_fact_minimizer.ML
Author: Philipp Meyer, TU Muenchen
Author: Jasmin Blanchette, TU Muenchen
Minimization of theorem list for Metis using automatic theorem provers.
*)
signature SLEDGEHAMMER_FACT_MINIMIZER =
sig
type params = ATP_Manager.params
type prover_result = ATP_Manager.prover_result
val minimize_theorems :
params -> int -> int -> Proof.state -> (string * thm list) list
-> (string * thm list) list option * string
end;
structure Sledgehammer_Fact_Minimizer : SLEDGEHAMMER_FACT_MINIMIZER =
struct
open Clausifier
open Sledgehammer_Util
open Sledgehammer_FOL_Clause
open Sledgehammer_Proof_Reconstruct
open ATP_Manager
(* Linear minimization algorithm *)
fun linear_minimize test s =
let
fun aux [] p = p
| aux (x :: xs) (needed, result) =
case test (xs @ needed) of
SOME result => aux xs (needed, result)
| NONE => aux xs (x :: needed, result)
in aux s end
(* wrapper for calling external prover *)
fun string_for_failure Unprovable = "Unprovable."
| string_for_failure IncompleteUnprovable = "Failed."
| string_for_failure TimedOut = "Timed out."
| string_for_failure OutOfResources = "Failed."
| string_for_failure OldSpass = "Error."
| string_for_failure MalformedOutput = "Error."
| string_for_failure UnknownError = "Failed."
fun string_for_outcome NONE = "Success."
| string_for_outcome (SOME failure) = string_for_failure failure
fun sledgehammer_test_theorems (params : params) prover timeout subgoal state
filtered_clauses name_thms_pairs =
let
val num_theorems = length name_thms_pairs
val _ = priority ("Testing " ^ string_of_int num_theorems ^
" theorem" ^ plural_s num_theorems ^ "...")
val name_thm_pairs = maps (fn (n, ths) => map (pair n) ths) name_thms_pairs
val axclauses = cnf_rules_pairs (Proof.theory_of state) name_thm_pairs
val {context = ctxt, facts, goal} = Proof.goal state
val problem =
{subgoal = subgoal, goal = (ctxt, (facts, goal)),
relevance_override = {add = [], del = [], only = false},
axiom_clauses = SOME axclauses,
filtered_clauses = SOME (the_default axclauses filtered_clauses)}
in
prover params (K "") timeout problem
|> tap (fn result : prover_result =>
priority (string_for_outcome (#outcome result)))
end
(* minimalization of thms *)
fun minimize_theorems (params as {debug, atps, full_types, minimize_timeout,
isar_proof, isar_shrink_factor, ...})
i n state name_thms_pairs =
let
val thy = Proof.theory_of state
val prover = case atps of
[atp_name] => get_prover thy atp_name
| _ => error "Expected a single ATP."
val msecs = Time.toMilliseconds minimize_timeout
val _ =
priority ("Sledgehammer minimizer: ATP " ^ quote (the_single atps) ^
" with a time limit of " ^ string_of_int msecs ^ " ms.")
val test_thms_fun =
sledgehammer_test_theorems params prover minimize_timeout i state
fun test_thms filtered thms =
case test_thms_fun filtered thms of
(result as {outcome = NONE, ...}) => SOME result
| _ => NONE
val {context = ctxt, goal, ...} = Proof.goal state;
in
(* try prove first to check result and get used theorems *)
(case test_thms_fun NONE name_thms_pairs of
result as {outcome = NONE, pool, internal_thm_names, conjecture_shape,
filtered_clauses, ...} =>
let
val used = internal_thm_names |> Vector.foldr (op ::) []
|> sort_distinct string_ord
val to_use =
if length used < length name_thms_pairs then
filter (fn (name1, _) => exists (curry (op =) name1) used)
name_thms_pairs
else name_thms_pairs
val (min_thms, {proof, internal_thm_names, ...}) =
linear_minimize (test_thms (SOME filtered_clauses)) to_use
([], result)
val m = length min_thms
val _ = priority (cat_lines
["Minimized: " ^ string_of_int m ^ " theorem" ^ plural_s m] ^ ".")
in
(SOME min_thms,
proof_text isar_proof
(pool, debug, isar_shrink_factor, ctxt, conjecture_shape)
(full_types, K "", proof, internal_thm_names, goal, i) |> fst)
end
| {outcome = SOME TimedOut, ...} =>
(NONE, "Timeout: You can increase the time limit using the \"timeout\" \
\option (e.g., \"timeout = " ^
string_of_int (10 + msecs div 1000) ^ " s\").")
| {outcome = SOME UnknownError, ...} =>
(* Failure sometimes mean timeout, unfortunately. *)
(NONE, "Failure: No proof was found with the current time limit. You \
\can increase the time limit using the \"timeout\" \
\option (e.g., \"timeout = " ^
string_of_int (10 + msecs div 1000) ^ " s\").")
| {message, ...} => (NONE, "ATP error: " ^ message))
handle TRIVIAL () => (SOME [], metis_line full_types i n [])
| ERROR msg => (NONE, "Error: " ^ msg)
end
end;