(* Title: HOL/Tools/Sledgehammer/sledgehammer_proof_methods.ML
Author: Jasmin Blanchette, TU Muenchen
Author: Steffen Juilf Smolka, TU Muenchen
Reconstructors.
*)
signature SLEDGEHAMMER_PROOF_METHODS =
sig
type stature = ATP_Problem_Generate.stature
datatype proof_method =
Metis_Method of string option * string option |
Meson_Method |
SMT2_Method |
SATx_Method |
Blast_Method |
Simp_Method |
Simp_Size_Method |
Auto_Method |
Fastforce_Method |
Force_Method |
Linarith_Method |
Presburger_Method |
Algebra_Method
datatype play_outcome =
Played of Time.time |
Play_Timed_Out of Time.time |
Play_Failed
type minimize_command = string list -> string
type one_line_params =
(proof_method * play_outcome) * string * (string * stature) list * minimize_command * int * int
val string_of_proof_method : proof_method -> string
val tac_of_proof_method : Proof.context -> bool -> thm list * thm list -> proof_method -> int ->
tactic
val string_of_play_outcome : play_outcome -> string
val play_outcome_ord : play_outcome * play_outcome -> order
val one_line_proof_text : 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 proof_method =
Metis_Method of string option * string option |
Meson_Method |
SMT2_Method |
SATx_Method |
Blast_Method |
Simp_Method |
Simp_Size_Method |
Auto_Method |
Fastforce_Method |
Force_Method |
Linarith_Method |
Presburger_Method |
Algebra_Method
datatype play_outcome =
Played of Time.time |
Play_Timed_Out of Time.time |
Play_Failed
type minimize_command = string list -> string
type one_line_params =
(proof_method * play_outcome) * string * (string * stature) list * minimize_command * int * int
fun string_of_proof_method meth =
(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"
| SMT2_Method => "smt2"
| SATx_Method => "satx"
| Blast_Method => "blast"
| Simp_Method => "simp"
| Simp_Size_Method => "simp add: size_ne_size_imp_ne"
| Auto_Method => "auto"
| Fastforce_Method => "fastforce"
| Force_Method => "force"
| Linarith_Method => "linarith"
| Presburger_Method => "presburger"
| Algebra_Method => "algebra")
fun silence_proof_methods debug =
Try0.silence_methods debug
#> Config.put SMT2_Config.verbose debug
fun tac_of_proof_method ctxt0 debug (local_facts0, global_facts0) meth =
let
val ctxt = silence_proof_methods debug ctxt0
val thy = Proof_Context.theory_of ctxt
val local_facts = map (Thm.transfer thy) local_facts0
val global_facts = map (Thm.transfer thy) global_facts0
in
Method.insert_tac local_facts THEN'
(case meth of
Metis_Method (type_enc_opt, lam_trans_opt) =>
Metis_Tactic.metis_tac [type_enc_opt |> the_default (hd partial_type_encs)]
(lam_trans_opt |> the_default default_metis_lam_trans) ctxt global_facts
| Meson_Method => Meson_Tactic.meson_general_tac ctxt global_facts
| SMT2_Method => SMT2_Solver.smt2_tac ctxt global_facts
| _ =>
Method.insert_tac global_facts THEN'
(case meth of
SATx_Method => SAT.satx_tac ctxt
| Blast_Method => blast_tac ctxt
| Simp_Method => Simplifier.asm_full_simp_tac ctxt
| Simp_Size_Method =>
Simplifier.asm_full_simp_tac (Simplifier.add_simp @{thm size_ne_size_imp_ne} ctxt)
| Auto_Method => K (Clasimp.auto_tac ctxt)
| Fastforce_Method => Clasimp.fast_force_tac ctxt
| Force_Method => Clasimp.force_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 (pairself 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 (pairself 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
(* FIXME: Various bugs, esp. with "unfolding"
fun unusing_chained_facts _ 0 = ""
| unusing_chained_facts used_chaineds num_chained =
if length used_chaineds = num_chained then ""
else if null used_chaineds then "(* using no facts *) "
else "(* using only " ^ space_implode " " used_chaineds ^ " *) "
*)
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 command_call name [] =
name |> not (Symbol_Pos.is_identifier name) ? enclose "(" ")"
| command_call name args = "(" ^ name ^ " " ^ space_implode " " args ^ ")"
(* FIXME *)
fun proof_method_command meth i n used_chaineds num_chained ss =
(* unusing_chained_facts used_chaineds num_chained ^ *)
apply_on_subgoal i n ^ command_call (string_of_proof_method meth) ss
fun try_command_line banner play command =
let val s = string_of_play_outcome play in
banner ^ ": " ^ Active.sendback_markup [Markup.padding_command] command ^
(s |> s <> "" ? enclose " (" ")") ^ "."
end
fun minimize_line _ [] = ""
| minimize_line minimize_command ss =
(case minimize_command ss of
"" => ""
| command => "\nTo minimize: " ^ Active.sendback_markup [Markup.padding_command] command ^ ".")
fun split_used_facts facts =
facts
|> List.partition (fn (_, (sc, _)) => sc = Chained)
|> pairself (sort_distinct (string_ord o pairself fst))
fun one_line_proof_text num_chained
((meth, play), banner, used_facts, minimize_command, subgoal, subgoal_count) =
let
val (chained, extra) = split_used_facts used_facts
val try_line =
map fst extra
|> proof_method_command meth subgoal subgoal_count (map fst chained) num_chained
|> (if play = Play_Failed then enclose "One-line proof reconstruction failed: " "."
else try_command_line banner play)
in
try_line ^ minimize_line minimize_command (map fst (extra @ chained))
end
end;