File ‹Tools/Sledgehammer/sledgehammer_proof_methods.ML›
signature SLEDGEHAMMER_PROOF_METHODS =
sig
type stature = ATP_Problem_Generate.stature
datatype SMT_backend =
SMT_Z3 |
SMT_Verit of string
datatype proof_method =
Metis_Method of string option * string option |
Meson_Method |
SMT_Method of SMT_backend |
SATx_Method |
Blast_Method |
Simp_Method |
Auto_Method |
Fastforce_Method |
Force_Method |
Moura_Method |
Linarith_Method |
Presburger_Method |
Algebra_Method
datatype play_outcome =
Played of Time.time |
Play_Timed_Out of Time.time |
Play_Failed
type one_line_params =
((string * stature) list * (proof_method * play_outcome)) * string * int * int
val is_proof_method_direct : proof_method -> bool
val string_of_proof_method : string list -> proof_method -> string
val tac_of_proof_method : Proof.context -> thm list * thm list -> proof_method -> int -> tactic
val string_of_play_outcome : play_outcome -> string
val play_outcome_ord : play_outcome ord
val one_line_proof_text : Proof.context -> int -> one_line_params -> string
end;
structure Sledgehammer_Proof_Methods : SLEDGEHAMMER_PROOF_METHODS =
struct
open ATP_Util
open ATP_Problem_Generate
open ATP_Proof_Reconstruct
datatype SMT_backend =
SMT_Z3 |
SMT_Verit of string
datatype proof_method =
Metis_Method of string option * string option |
Meson_Method |
SMT_Method of SMT_backend |
SATx_Method |
Blast_Method |
Simp_Method |
Auto_Method |
Fastforce_Method |
Force_Method |
Moura_Method |
Linarith_Method |
Presburger_Method |
Algebra_Method
datatype play_outcome =
Played of Time.time |
Play_Timed_Out of Time.time |
Play_Failed
type one_line_params =
((string * stature) list * (proof_method * play_outcome)) * string * int * int
fun is_proof_method_direct (Metis_Method _) = true
| is_proof_method_direct Meson_Method = true
| is_proof_method_direct (SMT_Method _) = true
| is_proof_method_direct Simp_Method = true
| is_proof_method_direct _ = false
fun is_proof_method_multi_goal Auto_Method = true
| is_proof_method_multi_goal _ = false
fun maybe_paren s = s |> not (Symbol_Pos.is_identifier s) ? enclose "(" ")"
fun string_of_proof_method ss meth =
let
val meth_s =
(case meth of
Metis_Method (NONE, NONE) => "metis"
| Metis_Method (type_enc_opt, lam_trans_opt) =>
"metis (" ^ commas (map_filter I [type_enc_opt, lam_trans_opt]) ^ ")"
| Meson_Method => "meson"
| SMT_Method SMT_Z3 => "smt (z3)"
| SMT_Method (SMT_Verit strategy) =>
"smt (" ^ commas ("verit" :: (if strategy = "default" then [] else [strategy])) ^ ")"
| SATx_Method => "satx"
| Blast_Method => "blast"
| Simp_Method => if null ss then "simp" else "simp add:"
| Auto_Method => "auto"
| Fastforce_Method => "fastforce"
| Force_Method => "force"
| Moura_Method => "moura"
| Linarith_Method => "linarith"
| Presburger_Method => "presburger"
| Algebra_Method => "algebra")
in
maybe_paren (space_implode " " (meth_s :: ss))
end
fun tac_of_proof_method ctxt (local_facts, global_facts) meth =
let
fun tac_of_metis (type_enc_opt, lam_trans_opt) =
let
val ctxt = ctxt
|> Config.put Metis_Tactic.verbose false
|> Config.put Metis_Tactic.trace false
in
SELECT_GOAL (Metis_Tactic.metis_method ((Option.map single type_enc_opt, lam_trans_opt),
global_facts) ctxt local_facts)
end
fun tac_of_smt SMT_Z3 = SMT_Solver.smt_tac
| tac_of_smt (SMT_Verit strategy) = Verit_Strategies.verit_tac_stgy strategy
in
(case meth of
Metis_Method options => tac_of_metis options
| SMT_Method backend => tac_of_smt backend ctxt (local_facts @ global_facts)
| _ =>
Method.insert_tac ctxt local_facts THEN'
(case meth of
Meson_Method => Meson_Tactic.meson_general_tac ctxt global_facts
| Simp_Method => Simplifier.asm_full_simp_tac (ctxt addsimps global_facts)
| _ =>
Method.insert_tac ctxt global_facts THEN'
(case meth of
SATx_Method => SAT.satx_tac ctxt
| Blast_Method => blast_tac ctxt
| Auto_Method => SELECT_GOAL (Clasimp.auto_tac ctxt)
| Fastforce_Method => Clasimp.fast_force_tac ctxt
| Force_Method => Clasimp.force_tac ctxt
| Moura_Method => moura_tac ctxt
| Linarith_Method => Lin_Arith.tac ctxt
| Presburger_Method => Cooper.tac true [] [] ctxt
| Algebra_Method => Groebner.algebra_tac [] [] ctxt)))
end
fun string_of_play_outcome (Played time) = string_of_ext_time (false, time)
| string_of_play_outcome (Play_Timed_Out time) =
if time = Time.zeroTime then "" else string_of_ext_time (true, time) ^ ", timed out"
| string_of_play_outcome Play_Failed = "failed"
fun play_outcome_ord (Played time1, Played time2) =
int_ord (apply2 Time.toMilliseconds (time1, time2))
| play_outcome_ord (Played _, _) = LESS
| play_outcome_ord (_, Played _) = GREATER
| play_outcome_ord (Play_Timed_Out time1, Play_Timed_Out time2) =
int_ord (apply2 Time.toMilliseconds (time1, time2))
| play_outcome_ord (Play_Timed_Out _, _) = LESS
| play_outcome_ord (_, Play_Timed_Out _) = GREATER
| play_outcome_ord (Play_Failed, Play_Failed) = EQUAL
fun apply_on_subgoal _ 1 = "by "
| apply_on_subgoal 1 _ = "apply "
| apply_on_subgoal i n = "prefer " ^ string_of_int i ^ " " ^ apply_on_subgoal 1 n
fun proof_method_command meth i n used_chaineds _ extras =
let
val (indirect_ss, direct_ss) =
if is_proof_method_direct meth then ([], extras) else (extras, [])
in
(if null indirect_ss then "" else "using " ^ space_implode " " indirect_ss ^ " ") ^
apply_on_subgoal i n ^ string_of_proof_method direct_ss meth ^
(if is_proof_method_multi_goal meth andalso n <> 1 then "[1]" else "")
end
fun try_command_line banner play command =
let val s = string_of_play_outcome play in
banner ^ Active.sendback_markup_command command ^ (s |> s <> "" ? enclose " (" ")")
end
fun one_line_proof_text _ num_chained
((used_facts, (meth, play)), banner, subgoal, subgoal_count) =
let val (chained, extra) = List.partition (fn (_, (sc, _)) => sc = Chained) used_facts in
map fst extra
|> proof_method_command meth subgoal subgoal_count (map fst chained) num_chained
|> (if play = Play_Failed then prefix "One-line proof reconstruction failed: "
else try_command_line banner play)
end
end;