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(* Title: HOL/Tools/Sledgehammer/sledgehammer_provers.ML
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wenzelm@28477
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Author: Fabian Immler, TU Muenchen
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wenzelm@32996
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Author: Makarius
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blanchet@35967
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Author: Jasmin Blanchette, TU Muenchen
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wenzelm@28477
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blanchet@41335
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Generic prover abstraction for Sledgehammer.
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wenzelm@28477
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*)
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wenzelm@28477
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blanchet@41335
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signature SLEDGEHAMMER_PROVERS =
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sig
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type failure = ATP_Proof.failure
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type locality = ATP_Translate.locality
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type type_enc = ATP_Translate.type_enc
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type reconstructor = ATP_Reconstruct.reconstructor
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type play = ATP_Reconstruct.play
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type minimize_command = ATP_Reconstruct.minimize_command
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type relevance_fudge = Sledgehammer_Filter.relevance_fudge
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datatype mode = Auto_Try | Try | Normal | Minimize
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type params =
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{debug: bool,
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verbose: bool,
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overlord: bool,
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blocking: bool,
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provers: string list,
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type_enc: type_enc option,
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sound: bool,
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relevance_thresholds: real * real,
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max_relevant: int option,
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max_mono_iters: int,
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max_new_mono_instances: int,
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isar_proof: bool,
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blanchet@36916
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isar_shrink_factor: int,
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slicing: bool,
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timeout: Time.time,
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preplay_timeout: Time.time,
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expect: string}
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datatype prover_fact =
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Untranslated_Fact of (string * locality) * thm |
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SMT_Weighted_Fact of (string * locality) * (int option * thm)
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type prover_problem =
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{state: Proof.state,
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goal: thm,
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subgoal: int,
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subgoal_count: int,
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facts: prover_fact list,
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smt_filter: (string * locality) SMT_Solver.smt_filter_data option}
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type prover_result =
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{outcome: failure option,
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used_facts: (string * locality) list,
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run_time_in_msecs: int option,
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preplay: unit -> play,
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message: play -> string,
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message_tail: string}
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type prover =
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params -> (string -> minimize_command) -> prover_problem -> prover_result
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val concealedN : string
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val liftingN : string
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val combinatorsN : string
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val hybridN : string
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val lambdasN : string
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val smartN : string
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val dest_dir : string Config.T
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val problem_prefix : string Config.T
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val measure_run_time : bool Config.T
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val atp_lambda_translation : string Config.T
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val atp_readable_names : bool Config.T
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val smt_triggers : bool Config.T
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val smt_weights : bool Config.T
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val smt_weight_min_facts : int Config.T
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val smt_min_weight : int Config.T
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val smt_max_weight : int Config.T
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val smt_max_weight_index : int Config.T
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val smt_weight_curve : (int -> int) Unsynchronized.ref
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val smt_max_slices : int Config.T
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val smt_slice_fact_frac : real Config.T
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val smt_slice_time_frac : real Config.T
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val smt_slice_min_secs : int Config.T
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val das_tool : string
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val select_smt_solver : string -> Proof.context -> Proof.context
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val prover_name_for_reconstructor : reconstructor -> string option
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val is_metis_prover : string -> bool
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val is_atp : theory -> string -> bool
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val is_smt_prover : Proof.context -> string -> bool
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val is_unit_equational_atp : Proof.context -> string -> bool
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val is_prover_supported : Proof.context -> string -> bool
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val is_prover_installed : Proof.context -> string -> bool
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val default_max_relevant_for_prover : Proof.context -> bool -> string -> int
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val is_unit_equality : term -> bool
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val is_appropriate_prop_for_prover : Proof.context -> string -> term -> bool
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val is_built_in_const_for_prover :
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Proof.context -> string -> string * typ -> term list -> bool * term list
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val atp_relevance_fudge : relevance_fudge
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val smt_relevance_fudge : relevance_fudge
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val relevance_fudge_for_prover : Proof.context -> string -> relevance_fudge
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val weight_smt_fact :
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Proof.context -> int -> ((string * locality) * thm) * int
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-> (string * locality) * (int option * thm)
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val untranslated_fact : prover_fact -> (string * locality) * thm
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val smt_weighted_fact :
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Proof.context -> int -> prover_fact * int
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-> (string * locality) * (int option * thm)
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val supported_provers : Proof.context -> unit
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val kill_provers : unit -> unit
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val running_provers : unit -> unit
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val messages : int option -> unit
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val filter_used_facts : ''a list -> (''a * 'b) list -> (''a * 'b) list
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val get_prover : Proof.context -> mode -> string -> prover
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end;
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structure Sledgehammer_Provers : SLEDGEHAMMER_PROVERS =
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struct
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open ATP_Util
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open ATP_Problem
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open ATP_Proof
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open ATP_Systems
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open ATP_Translate
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open ATP_Reconstruct
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open Sledgehammer_Util
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open Sledgehammer_Filter
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(** The Sledgehammer **)
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datatype mode = Auto_Try | Try | Normal | Minimize
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(* Identifier to distinguish Sledgehammer from other tools using
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"Async_Manager". *)
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val das_tool = "Sledgehammer"
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val metisN = Metis_Tactics.metisN
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val metis_full_typesN = metisN ^ "_" ^ Metis_Tactics.full_typesN
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val metis_no_typesN = metisN ^ "_" ^ Metis_Tactics.no_typesN
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val metis_prover_infos =
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[(metisN, Metis),
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(metis_full_typesN, Metis_Full_Types),
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(metis_no_typesN, Metis_No_Types)]
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val prover_name_for_reconstructor =
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AList.find (op =) metis_prover_infos #> try hd
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val metis_reconstructors = map snd metis_prover_infos
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val is_metis_prover = AList.defined (op =) metis_prover_infos
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val is_atp = member (op =) o supported_atps
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val select_smt_solver = Context.proof_map o SMT_Config.select_solver
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fun is_smt_prover ctxt name =
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member (op =) (SMT_Solver.available_solvers_of ctxt) name
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fun is_unit_equational_atp ctxt name =
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let val thy = Proof_Context.theory_of ctxt in
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case try (get_atp thy) name of
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SOME {formats, ...} => member (op =) formats CNF_UEQ
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| NONE => false
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end
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fun is_prover_supported ctxt name =
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let val thy = Proof_Context.theory_of ctxt in
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is_metis_prover name orelse is_atp thy name orelse is_smt_prover ctxt name
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end
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boehmes@41680
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fun is_prover_installed ctxt =
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is_metis_prover orf is_smt_prover ctxt orf
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is_atp_installed (Proof_Context.theory_of ctxt)
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fun get_slices slicing slices =
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(0 upto length slices - 1) ~~ slices |> not slicing ? (List.last #> single)
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val metis_default_max_relevant = 20
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fun default_max_relevant_for_prover ctxt slicing name =
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let val thy = Proof_Context.theory_of ctxt in
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if is_metis_prover name then
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metis_default_max_relevant
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else if is_atp thy name then
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fold (Integer.max o #1 o snd o snd o snd)
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(get_slices slicing (#best_slices (get_atp thy name) ctxt)) 0
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else (* is_smt_prover ctxt name *)
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SMT_Solver.default_max_relevant ctxt name
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end
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fun is_if (@{const_name If}, _) = true
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| is_if _ = false
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(* Beware of "if and only if" (which is translated as such) and "If" (which is
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translated to conditional equations). *)
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blanchet@43797
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fun is_good_unit_equality T t u =
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T <> @{typ bool} andalso not (exists (exists_Const is_if) [t, u])
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fun is_unit_equality (@{const Trueprop} $ t) = is_unit_equality t
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| is_unit_equality (Const (@{const_name all}, _) $ Abs (_, _, t)) =
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is_unit_equality t
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| is_unit_equality (Const (@{const_name All}, _) $ Abs (_, _, t)) =
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is_unit_equality t
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blanchet@43797
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| is_unit_equality (Const (@{const_name "=="}, Type (_, [T, _])) $ t $ u) =
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blanchet@43797
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is_good_unit_equality T t u
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blanchet@43797
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| is_unit_equality (Const (@{const_name HOL.eq}, Type (_ , [T, _])) $ t $ u) =
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blanchet@43797
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is_good_unit_equality T t u
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blanchet@43785
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| is_unit_equality _ = false
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blanchet@43785
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blanchet@43793
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fun is_appropriate_prop_for_prover ctxt name =
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blanchet@43785
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if is_unit_equational_atp ctxt name then is_unit_equality else K true
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blanchet@43785
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blanchet@41483
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fun is_built_in_const_for_prover ctxt name =
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blanchet@41483
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if is_smt_prover ctxt name then
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let val ctxt = ctxt |> select_smt_solver name in
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fn x => fn ts =>
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blanchet@41584
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if SMT_Builtin.is_builtin_num_ext ctxt (list_comb (Const x, ts)) then
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(true, [])
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else if SMT_Builtin.is_builtin_fun_ext ctxt x ts then
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(true, ts)
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else
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(false, ts)
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end
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else
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blanchet@41584
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fn (s, _) => fn ts => (member (op =) atp_irrelevant_consts s, ts)
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blanchet@40252
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blanchet@40251
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(* FUDGE *)
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val atp_relevance_fudge =
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blanchet@43603
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{local_const_multiplier = 1.5,
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worse_irrel_freq = 100.0,
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blanchet@40251
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higher_order_irrel_weight = 1.05,
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blanchet@40251
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abs_rel_weight = 0.5,
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blanchet@40251
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abs_irrel_weight = 2.0,
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blanchet@43611
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skolem_irrel_weight = 0.25,
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blanchet@40251
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theory_const_rel_weight = 0.5,
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blanchet@40251
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theory_const_irrel_weight = 0.25,
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blanchet@43600
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chained_const_irrel_weight = 0.25,
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blanchet@40251
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intro_bonus = 0.15,
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blanchet@40251
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elim_bonus = 0.15,
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blanchet@40251
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simp_bonus = 0.15,
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blanchet@40251
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local_bonus = 0.55,
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blanchet@40251
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assum_bonus = 1.05,
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blanchet@40251
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chained_bonus = 1.5,
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blanchet@40251
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max_imperfect = 11.5,
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blanchet@40251
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max_imperfect_exp = 1.0,
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blanchet@40251
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threshold_divisor = 2.0,
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blanchet@41341
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ridiculous_threshold = 0.01}
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blanchet@40251
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blanchet@40252
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(* FUDGE (FIXME) *)
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blanchet@40251
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val smt_relevance_fudge =
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blanchet@43603
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{local_const_multiplier = #local_const_multiplier atp_relevance_fudge,
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blanchet@41407
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worse_irrel_freq = #worse_irrel_freq atp_relevance_fudge,
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blanchet@40252
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higher_order_irrel_weight = #higher_order_irrel_weight atp_relevance_fudge,
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blanchet@40252
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abs_rel_weight = #abs_rel_weight atp_relevance_fudge,
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blanchet@40252
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abs_irrel_weight = #abs_irrel_weight atp_relevance_fudge,
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blanchet@40252
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skolem_irrel_weight = #skolem_irrel_weight atp_relevance_fudge,
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blanchet@40252
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theory_const_rel_weight = #theory_const_rel_weight atp_relevance_fudge,
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blanchet@40252
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theory_const_irrel_weight = #theory_const_irrel_weight atp_relevance_fudge,
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blanchet@43600
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chained_const_irrel_weight = #chained_const_irrel_weight atp_relevance_fudge,
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blanchet@40252
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intro_bonus = #intro_bonus atp_relevance_fudge,
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blanchet@40252
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elim_bonus = #elim_bonus atp_relevance_fudge,
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blanchet@40252
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simp_bonus = #simp_bonus atp_relevance_fudge,
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blanchet@40252
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local_bonus = #local_bonus atp_relevance_fudge,
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blanchet@40252
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assum_bonus = #assum_bonus atp_relevance_fudge,
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blanchet@40252
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chained_bonus = #chained_bonus atp_relevance_fudge,
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blanchet@40252
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max_imperfect = #max_imperfect atp_relevance_fudge,
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blanchet@40252
|
267 |
max_imperfect_exp = #max_imperfect_exp atp_relevance_fudge,
|
blanchet@40252
|
268 |
threshold_divisor = #threshold_divisor atp_relevance_fudge,
|
blanchet@40252
|
269 |
ridiculous_threshold = #ridiculous_threshold atp_relevance_fudge}
|
blanchet@40251
|
270 |
|
blanchet@41189
|
271 |
fun relevance_fudge_for_prover ctxt name =
|
blanchet@41189
|
272 |
if is_smt_prover ctxt name then smt_relevance_fudge else atp_relevance_fudge
|
blanchet@40251
|
273 |
|
blanchet@42591
|
274 |
fun supported_provers ctxt =
|
blanchet@40241
|
275 |
let
|
wenzelm@43232
|
276 |
val thy = Proof_Context.theory_of ctxt
|
blanchet@40241
|
277 |
val (remote_provers, local_provers) =
|
blanchet@44069
|
278 |
map fst metis_prover_infos @
|
blanchet@42591
|
279 |
sort_strings (supported_atps thy) @
|
blanchet@42591
|
280 |
sort_strings (SMT_Solver.available_solvers_of ctxt)
|
blanchet@40241
|
281 |
|> List.partition (String.isPrefix remote_prefix)
|
blanchet@40241
|
282 |
in
|
blanchet@42591
|
283 |
Output.urgent_message ("Supported provers: " ^
|
blanchet@40446
|
284 |
commas (local_provers @ remote_provers) ^ ".")
|
blanchet@40241
|
285 |
end
|
blanchet@35967
|
286 |
|
blanchet@43846
|
287 |
fun kill_provers () = Async_Manager.kill_threads das_tool "prover"
|
blanchet@43846
|
288 |
fun running_provers () = Async_Manager.running_threads das_tool "prover"
|
blanchet@43846
|
289 |
val messages = Async_Manager.thread_messages das_tool "prover"
|
blanchet@40240
|
290 |
|
blanchet@40240
|
291 |
(** problems, results, ATPs, etc. **)
|
blanchet@35967
|
292 |
|
blanchet@35967
|
293 |
type params =
|
blanchet@41456
|
294 |
{debug: bool,
|
blanchet@35967
|
295 |
verbose: bool,
|
blanchet@36141
|
296 |
overlord: bool,
|
blanchet@41456
|
297 |
blocking: bool,
|
blanchet@40240
|
298 |
provers: string list,
|
blanchet@44493
|
299 |
type_enc: type_enc option,
|
blanchet@44434
|
300 |
sound: bool,
|
blanchet@43051
|
301 |
relevance_thresholds: real * real,
|
blanchet@43051
|
302 |
max_relevant: int option,
|
blanchet@43589
|
303 |
max_mono_iters: int,
|
blanchet@43605
|
304 |
max_new_mono_instances: int,
|
blanchet@35967
|
305 |
isar_proof: bool,
|
blanchet@36916
|
306 |
isar_shrink_factor: int,
|
blanchet@43314
|
307 |
slicing: bool,
|
blanchet@39229
|
308 |
timeout: Time.time,
|
blanchet@43856
|
309 |
preplay_timeout: Time.time,
|
blanchet@39229
|
310 |
expect: string}
|
blanchet@35867
|
311 |
|
blanchet@41338
|
312 |
datatype prover_fact =
|
blanchet@41338
|
313 |
Untranslated_Fact of (string * locality) * thm |
|
blanchet@41483
|
314 |
SMT_Weighted_Fact of (string * locality) * (int option * thm)
|
blanchet@40242
|
315 |
|
blanchet@40242
|
316 |
type prover_problem =
|
blanchet@39564
|
317 |
{state: Proof.state,
|
blanchet@39242
|
318 |
goal: thm,
|
blanchet@39242
|
319 |
subgoal: int,
|
blanchet@40246
|
320 |
subgoal_count: int,
|
blanchet@41483
|
321 |
facts: prover_fact list,
|
blanchet@42612
|
322 |
smt_filter: (string * locality) SMT_Solver.smt_filter_data option}
|
blanchet@35867
|
323 |
|
blanchet@40242
|
324 |
type prover_result =
|
blanchet@36370
|
325 |
{outcome: failure option,
|
blanchet@40445
|
326 |
used_facts: (string * locality) list,
|
blanchet@43893
|
327 |
run_time_in_msecs: int option,
|
blanchet@43893
|
328 |
preplay: unit -> play,
|
blanchet@44102
|
329 |
message: play -> string,
|
blanchet@44102
|
330 |
message_tail: string}
|
blanchet@35867
|
331 |
|
blanchet@43892
|
332 |
type prover =
|
blanchet@43892
|
333 |
params -> (string -> minimize_command) -> prover_problem -> prover_result
|
blanchet@35867
|
334 |
|
blanchet@43874
|
335 |
|
blanchet@38257
|
336 |
(* configuration attributes *)
|
wenzelm@28484
|
337 |
|
blanchet@44734
|
338 |
val concealedN = "concealed"
|
blanchet@44734
|
339 |
val liftingN = "lifting"
|
blanchet@44727
|
340 |
val combinatorsN = "combinators"
|
blanchet@44833
|
341 |
val hybridN = "hybrid"
|
blanchet@44727
|
342 |
val lambdasN = "lambdas"
|
blanchet@44727
|
343 |
val smartN = "smart"
|
blanchet@44727
|
344 |
|
blanchet@43933
|
345 |
(* Empty string means create files in Isabelle's temporary files directory. *)
|
wenzelm@43487
|
346 |
val dest_dir =
|
wenzelm@43487
|
347 |
Attrib.setup_config_string @{binding sledgehammer_dest_dir} (K "")
|
wenzelm@43487
|
348 |
val problem_prefix =
|
wenzelm@43487
|
349 |
Attrib.setup_config_string @{binding sledgehammer_problem_prefix} (K "prob")
|
wenzelm@43487
|
350 |
val measure_run_time =
|
wenzelm@43487
|
351 |
Attrib.setup_config_bool @{binding sledgehammer_measure_run_time} (K false)
|
wenzelm@32995
|
352 |
|
blanchet@44692
|
353 |
val atp_lambda_translation =
|
blanchet@44692
|
354 |
Attrib.setup_config_string @{binding sledgehammer_atp_lambda_translation}
|
blanchet@44692
|
355 |
(K smartN)
|
blanchet@43933
|
356 |
(* In addition to being easier to read, readable names are often much shorter,
|
blanchet@43933
|
357 |
especially if types are mangled in names. For these reason, they are enabled
|
blanchet@43933
|
358 |
by default. *)
|
blanchet@43933
|
359 |
val atp_readable_names =
|
blanchet@43933
|
360 |
Attrib.setup_config_bool @{binding sledgehammer_atp_readable_names} (K true)
|
blanchet@43933
|
361 |
|
blanchet@43517
|
362 |
val smt_triggers =
|
blanchet@43517
|
363 |
Attrib.setup_config_bool @{binding sledgehammer_smt_triggers} (K true)
|
blanchet@43517
|
364 |
val smt_weights =
|
blanchet@43517
|
365 |
Attrib.setup_config_bool @{binding sledgehammer_smt_weights} (K true)
|
blanchet@43517
|
366 |
val smt_weight_min_facts =
|
blanchet@43517
|
367 |
Attrib.setup_config_int @{binding sledgehammer_smt_weight_min_facts} (K 20)
|
blanchet@41502
|
368 |
|
blanchet@41502
|
369 |
(* FUDGE *)
|
blanchet@43517
|
370 |
val smt_min_weight =
|
blanchet@43517
|
371 |
Attrib.setup_config_int @{binding sledgehammer_smt_min_weight} (K 0)
|
blanchet@43517
|
372 |
val smt_max_weight =
|
blanchet@43517
|
373 |
Attrib.setup_config_int @{binding sledgehammer_smt_max_weight} (K 10)
|
blanchet@43517
|
374 |
val smt_max_weight_index =
|
blanchet@43517
|
375 |
Attrib.setup_config_int @{binding sledgehammer_smt_max_weight_index} (K 200)
|
blanchet@41502
|
376 |
val smt_weight_curve = Unsynchronized.ref (fn x : int => x * x)
|
blanchet@41502
|
377 |
|
blanchet@43517
|
378 |
fun smt_fact_weight ctxt j num_facts =
|
blanchet@43517
|
379 |
if Config.get ctxt smt_weights andalso
|
blanchet@43517
|
380 |
num_facts >= Config.get ctxt smt_weight_min_facts then
|
blanchet@43517
|
381 |
let
|
blanchet@43517
|
382 |
val min = Config.get ctxt smt_min_weight
|
blanchet@43517
|
383 |
val max = Config.get ctxt smt_max_weight
|
blanchet@43517
|
384 |
val max_index = Config.get ctxt smt_max_weight_index
|
blanchet@43517
|
385 |
val curve = !smt_weight_curve
|
blanchet@43517
|
386 |
in
|
blanchet@43517
|
387 |
SOME (max - (max - min + 1) * curve (Int.max (0, max_index - j - 1))
|
blanchet@43517
|
388 |
div curve max_index)
|
blanchet@43517
|
389 |
end
|
blanchet@41502
|
390 |
else
|
blanchet@41502
|
391 |
NONE
|
blanchet@41502
|
392 |
|
blanchet@43517
|
393 |
fun weight_smt_fact ctxt num_facts ((info, th), j) =
|
blanchet@43517
|
394 |
let val thy = Proof_Context.theory_of ctxt in
|
blanchet@43517
|
395 |
(info, (smt_fact_weight ctxt j num_facts, th |> Thm.transfer thy))
|
blanchet@43517
|
396 |
end
|
blanchet@38257
|
397 |
|
blanchet@41339
|
398 |
fun untranslated_fact (Untranslated_Fact p) = p
|
blanchet@41483
|
399 |
| untranslated_fact (SMT_Weighted_Fact (info, (_, th))) = (info, th)
|
blanchet@41502
|
400 |
fun smt_weighted_fact _ _ (SMT_Weighted_Fact p, _) = p
|
blanchet@43517
|
401 |
| smt_weighted_fact ctxt num_facts (fact, j) =
|
blanchet@43517
|
402 |
(untranslated_fact fact, j) |> weight_smt_fact ctxt num_facts
|
blanchet@41502
|
403 |
|
blanchet@41561
|
404 |
fun overlord_file_location_for_prover prover =
|
blanchet@41561
|
405 |
(getenv "ISABELLE_HOME_USER", "prob_" ^ prover)
|
blanchet@41561
|
406 |
|
blanchet@43874
|
407 |
fun with_path cleanup after f path =
|
blanchet@43874
|
408 |
Exn.capture f path
|
blanchet@43874
|
409 |
|> tap (fn _ => cleanup path)
|
blanchet@43874
|
410 |
|> Exn.release
|
blanchet@43874
|
411 |
|> tap (after path)
|
blanchet@43874
|
412 |
|
blanchet@43893
|
413 |
fun proof_banner mode name =
|
blanchet@43874
|
414 |
case mode of
|
blanchet@43874
|
415 |
Auto_Try => "Auto Sledgehammer (" ^ quote name ^ ") found a proof"
|
blanchet@43874
|
416 |
| Try => "Sledgehammer (" ^ quote name ^ ") found a proof"
|
blanchet@43893
|
417 |
| _ => "Try this"
|
blanchet@43874
|
418 |
|
blanchet@43874
|
419 |
(* based on "Mirabelle.can_apply" and generalized *)
|
blanchet@43875
|
420 |
fun timed_apply timeout tac state i =
|
blanchet@43874
|
421 |
let
|
blanchet@43874
|
422 |
val {context = ctxt, facts, goal} = Proof.goal state
|
blanchet@43874
|
423 |
val full_tac = Method.insert_tac facts i THEN tac ctxt i
|
blanchet@43875
|
424 |
in TimeLimit.timeLimit timeout (try (Seq.pull o full_tac)) goal end
|
blanchet@43874
|
425 |
|
blanchet@44052
|
426 |
fun tac_for_reconstructor Metis =
|
blanchet@44493
|
427 |
Metis_Tactics.metis_tac [Metis_Tactics.partial_type_enc]
|
blanchet@44069
|
428 |
| tac_for_reconstructor Metis_Full_Types =
|
blanchet@44174
|
429 |
Metis_Tactics.metis_tac Metis_Tactics.full_type_syss
|
blanchet@44069
|
430 |
| tac_for_reconstructor Metis_No_Types =
|
blanchet@44493
|
431 |
Metis_Tactics.metis_tac [Metis_Tactics.no_type_enc]
|
blanchet@43875
|
432 |
| tac_for_reconstructor _ = raise Fail "unexpected reconstructor"
|
blanchet@43875
|
433 |
|
blanchet@43875
|
434 |
fun timed_reconstructor reconstructor debug timeout ths =
|
blanchet@43875
|
435 |
(Config.put Metis_Tactics.verbose debug
|
blanchet@43875
|
436 |
#> (fn ctxt => tac_for_reconstructor reconstructor ctxt ths))
|
blanchet@43875
|
437 |
|> timed_apply timeout
|
blanchet@43874
|
438 |
|
blanchet@43874
|
439 |
fun filter_used_facts used = filter (member (op =) used o fst)
|
blanchet@43874
|
440 |
|
blanchet@43891
|
441 |
fun play_one_line_proof debug timeout ths state i reconstructors =
|
blanchet@43875
|
442 |
let
|
blanchet@44007
|
443 |
fun play [] [] = Failed_to_Play (hd reconstructors)
|
blanchet@44060
|
444 |
| play timed_outs [] = Trust_Playable (List.last timed_outs, SOME timeout)
|
blanchet@43891
|
445 |
| play timed_out (reconstructor :: reconstructors) =
|
blanchet@43885
|
446 |
let val timer = Timer.startRealTimer () in
|
blanchet@43885
|
447 |
case timed_reconstructor reconstructor debug timeout ths state i of
|
blanchet@43891
|
448 |
SOME (SOME _) => Played (reconstructor, Timer.checkRealTimer timer)
|
blanchet@43891
|
449 |
| _ => play timed_out reconstructors
|
blanchet@43885
|
450 |
end
|
blanchet@43885
|
451 |
handle TimeLimit.TimeOut =>
|
blanchet@43891
|
452 |
play (reconstructor :: timed_out) reconstructors
|
blanchet@43875
|
453 |
in
|
blanchet@43885
|
454 |
if timeout = Time.zeroTime then Trust_Playable (hd reconstructors, NONE)
|
blanchet@43891
|
455 |
else play [] reconstructors
|
blanchet@43874
|
456 |
end
|
blanchet@43874
|
457 |
|
blanchet@41561
|
458 |
|
blanchet@41502
|
459 |
(* generic TPTP-based ATPs *)
|
blanchet@40242
|
460 |
|
blanchet@43595
|
461 |
(* Too general means, positive equality literal with a variable X as one
|
blanchet@43595
|
462 |
operand, when X does not occur properly in the other operand. This rules out
|
blanchet@43595
|
463 |
clearly inconsistent facts such as X = a | X = b, though it by no means
|
blanchet@43595
|
464 |
guarantees soundness. *)
|
blanchet@43595
|
465 |
|
blanchet@43595
|
466 |
(* Unwanted equalities are those between a (bound or schematic) variable that
|
blanchet@43595
|
467 |
does not properly occur in the second operand. *)
|
blanchet@43595
|
468 |
val is_exhaustive_finite =
|
blanchet@43595
|
469 |
let
|
blanchet@43595
|
470 |
fun is_bad_equal (Var z) t =
|
blanchet@43595
|
471 |
not (exists_subterm (fn Var z' => z = z' | _ => false) t)
|
blanchet@43595
|
472 |
| is_bad_equal (Bound j) t = not (loose_bvar1 (t, j))
|
blanchet@43595
|
473 |
| is_bad_equal _ _ = false
|
blanchet@43595
|
474 |
fun do_equals t1 t2 = is_bad_equal t1 t2 orelse is_bad_equal t2 t1
|
blanchet@43595
|
475 |
fun do_formula pos t =
|
blanchet@43595
|
476 |
case (pos, t) of
|
blanchet@43595
|
477 |
(_, @{const Trueprop} $ t1) => do_formula pos t1
|
blanchet@43595
|
478 |
| (true, Const (@{const_name all}, _) $ Abs (_, _, t')) =>
|
blanchet@43595
|
479 |
do_formula pos t'
|
blanchet@43595
|
480 |
| (true, Const (@{const_name All}, _) $ Abs (_, _, t')) =>
|
blanchet@43595
|
481 |
do_formula pos t'
|
blanchet@43595
|
482 |
| (false, Const (@{const_name Ex}, _) $ Abs (_, _, t')) =>
|
blanchet@43595
|
483 |
do_formula pos t'
|
blanchet@43595
|
484 |
| (_, @{const "==>"} $ t1 $ t2) =>
|
blanchet@43595
|
485 |
do_formula (not pos) t1 andalso
|
blanchet@43595
|
486 |
(t2 = @{prop False} orelse do_formula pos t2)
|
blanchet@43595
|
487 |
| (_, @{const HOL.implies} $ t1 $ t2) =>
|
blanchet@43595
|
488 |
do_formula (not pos) t1 andalso
|
blanchet@43595
|
489 |
(t2 = @{const False} orelse do_formula pos t2)
|
blanchet@43595
|
490 |
| (_, @{const Not} $ t1) => do_formula (not pos) t1
|
blanchet@43595
|
491 |
| (true, @{const HOL.disj} $ t1 $ t2) => forall (do_formula pos) [t1, t2]
|
blanchet@43595
|
492 |
| (false, @{const HOL.conj} $ t1 $ t2) => forall (do_formula pos) [t1, t2]
|
blanchet@43595
|
493 |
| (true, Const (@{const_name HOL.eq}, _) $ t1 $ t2) => do_equals t1 t2
|
blanchet@43595
|
494 |
| (true, Const (@{const_name "=="}, _) $ t1 $ t2) => do_equals t1 t2
|
blanchet@43595
|
495 |
| _ => false
|
blanchet@43595
|
496 |
in do_formula true end
|
blanchet@43595
|
497 |
|
blanchet@43595
|
498 |
fun has_bound_or_var_of_type pred =
|
blanchet@43595
|
499 |
exists_subterm (fn Var (_, T as Type _) => pred T
|
blanchet@43595
|
500 |
| Abs (_, T as Type _, _) => pred T
|
blanchet@43595
|
501 |
| _ => false)
|
blanchet@43595
|
502 |
|
blanchet@43595
|
503 |
(* Facts are forbidden to contain variables of these types. The typical reason
|
blanchet@43595
|
504 |
is that they lead to unsoundness. Note that "unit" satisfies numerous
|
blanchet@43595
|
505 |
equations like "?x = ()". The resulting clauses will have no type constraint,
|
blanchet@43595
|
506 |
yielding false proofs. Even "bool" leads to many unsound proofs, though only
|
blanchet@43595
|
507 |
for higher-order problems. *)
|
blanchet@43595
|
508 |
|
blanchet@43595
|
509 |
(* Facts containing variables of type "unit" or "bool" or of the form
|
blanchet@43595
|
510 |
"ALL x. x = A | x = B | x = C" are likely to lead to unsound proofs if types
|
blanchet@43595
|
511 |
are omitted. *)
|
blanchet@43785
|
512 |
fun is_dangerous_prop ctxt =
|
blanchet@43785
|
513 |
transform_elim_prop
|
blanchet@44434
|
514 |
#> (has_bound_or_var_of_type (is_type_surely_finite ctxt false) orf
|
blanchet@43595
|
515 |
is_exhaustive_finite)
|
blanchet@43595
|
516 |
|
blanchet@40636
|
517 |
fun int_opt_add (SOME m) (SOME n) = SOME (m + n)
|
blanchet@40636
|
518 |
| int_opt_add _ _ = NONE
|
blanchet@40243
|
519 |
|
blanchet@39732
|
520 |
(* Important messages are important but not so important that users want to see
|
blanchet@39732
|
521 |
them each time. *)
|
blanchet@43480
|
522 |
val atp_important_message_keep_quotient = 10
|
blanchet@39732
|
523 |
|
blanchet@44493
|
524 |
fun choose_format_and_type_enc best_type_enc formats type_enc_opt =
|
blanchet@44493
|
525 |
(case type_enc_opt of
|
blanchet@44431
|
526 |
SOME ts => ts
|
blanchet@44493
|
527 |
| NONE => type_enc_from_string best_type_enc)
|
blanchet@44431
|
528 |
|> choose_format formats
|
blanchet@43419
|
529 |
|
blanchet@44832
|
530 |
fun lift_lambdas ctxt type_enc =
|
blanchet@44810
|
531 |
map (close_form o Envir.eta_contract) #> rpair ctxt
|
blanchet@44832
|
532 |
#-> Lambda_Lifting.lift_lambdas
|
blanchet@44832
|
533 |
(if polymorphism_of_type_enc type_enc = Polymorphic then
|
blanchet@44832
|
534 |
SOME polymorphic_free_prefix
|
blanchet@44832
|
535 |
else
|
blanchet@44832
|
536 |
NONE)
|
blanchet@44832
|
537 |
Lambda_Lifting.is_quantifier
|
blanchet@44810
|
538 |
#> fst
|
blanchet@44810
|
539 |
|
blanchet@44869
|
540 |
fun intentionalize_def (Const (@{const_name All}, _) $ Abs (_, _, t)) =
|
blanchet@44833
|
541 |
intentionalize_def t
|
blanchet@44833
|
542 |
| intentionalize_def (Const (@{const_name HOL.eq}, _) $ t $ u) =
|
blanchet@44833
|
543 |
let
|
blanchet@44833
|
544 |
fun lam T t = Abs (Name.uu, T, t)
|
blanchet@44833
|
545 |
val (head, args) = strip_comb t ||> rev
|
blanchet@44833
|
546 |
val head_T = fastype_of head
|
blanchet@44833
|
547 |
val n = length args
|
blanchet@44833
|
548 |
val arg_Ts = head_T |> binder_types |> take n |> rev
|
blanchet@44833
|
549 |
val u = u |> subst_atomic (args ~~ map Bound (0 upto n - 1))
|
blanchet@44833
|
550 |
in HOLogic.eq_const head_T $ head $ fold lam arg_Ts u end
|
blanchet@44833
|
551 |
| intentionalize_def t = t
|
blanchet@44833
|
552 |
|
blanchet@44727
|
553 |
fun translate_atp_lambdas ctxt type_enc =
|
blanchet@44692
|
554 |
Config.get ctxt atp_lambda_translation
|
blanchet@44692
|
555 |
|> (fn trans =>
|
blanchet@44692
|
556 |
if trans = smartN then
|
blanchet@44692
|
557 |
if is_type_enc_higher_order type_enc then lambdasN else combinatorsN
|
blanchet@44694
|
558 |
else if trans = lambdasN andalso
|
blanchet@44694
|
559 |
not (is_type_enc_higher_order type_enc) then
|
blanchet@44735
|
560 |
error ("Lambda translation method incompatible with first-order \
|
blanchet@44735
|
561 |
\encoding.")
|
blanchet@44692
|
562 |
else
|
blanchet@44692
|
563 |
trans)
|
blanchet@44727
|
564 |
|> (fn trans =>
|
blanchet@44734
|
565 |
if trans = concealedN then
|
blanchet@44832
|
566 |
lift_lambdas ctxt type_enc ##> K []
|
blanchet@44734
|
567 |
else if trans = liftingN then
|
blanchet@44832
|
568 |
lift_lambdas ctxt type_enc
|
blanchet@44733
|
569 |
else if trans = combinatorsN then
|
blanchet@44810
|
570 |
map (introduce_combinators ctxt) #> rpair []
|
blanchet@44833
|
571 |
else if trans = hybridN then
|
blanchet@44833
|
572 |
lift_lambdas ctxt type_enc
|
blanchet@44833
|
573 |
##> maps (fn t => [t, introduce_combinators ctxt
|
blanchet@44833
|
574 |
(intentionalize_def t)])
|
blanchet@44733
|
575 |
else if trans = lambdasN then
|
blanchet@44810
|
576 |
map (Envir.eta_contract) #> rpair []
|
blanchet@44733
|
577 |
else
|
blanchet@44733
|
578 |
error ("Unknown lambda translation method: " ^ quote trans ^ "."))
|
blanchet@44692
|
579 |
|
blanchet@43892
|
580 |
val metis_minimize_max_time = seconds 2.0
|
blanchet@43892
|
581 |
|
blanchet@43892
|
582 |
fun choose_minimize_command minimize_command name preplay =
|
blanchet@43892
|
583 |
(case preplay of
|
blanchet@43892
|
584 |
Played (reconstructor, time) =>
|
blanchet@43892
|
585 |
if Time.<= (time, metis_minimize_max_time) then
|
blanchet@44074
|
586 |
prover_name_for_reconstructor reconstructor |> the_default name
|
blanchet@43892
|
587 |
else
|
blanchet@43892
|
588 |
name
|
blanchet@43892
|
589 |
| _ => name)
|
blanchet@43892
|
590 |
|> minimize_command
|
blanchet@43892
|
591 |
|
blanchet@44108
|
592 |
fun repair_monomorph_context max_iters max_new_instances =
|
blanchet@44073
|
593 |
Config.put Monomorph.max_rounds max_iters
|
blanchet@44108
|
594 |
#> Config.put Monomorph.max_new_instances max_new_instances
|
boehmes@44071
|
595 |
#> Config.put Monomorph.keep_partial_instances false
|
blanchet@44067
|
596 |
|
blanchet@44498
|
597 |
(* Give the ATPs some slack before interrupting them the hard way. "z3_atp" on
|
blanchet@44498
|
598 |
Linux appears to be the only ATP that does not honor its time limit. *)
|
blanchet@44556
|
599 |
val atp_timeout_slack = seconds 1.0
|
blanchet@44498
|
600 |
|
blanchet@43862
|
601 |
fun run_atp mode name
|
blanchet@43449
|
602 |
({exec, required_execs, arguments, proof_delims, known_failures,
|
blanchet@43588
|
603 |
conj_sym_kind, prem_kind, formats, best_slices, ...} : atp_config)
|
blanchet@44493
|
604 |
({debug, verbose, overlord, type_enc, sound, max_relevant,
|
blanchet@44434
|
605 |
max_mono_iters, max_new_mono_instances, isar_proof,
|
blanchet@44434
|
606 |
isar_shrink_factor, slicing, timeout, preplay_timeout, ...} : params)
|
blanchet@43878
|
607 |
minimize_command
|
blanchet@43878
|
608 |
({state, goal, subgoal, subgoal_count, facts, ...} : prover_problem) =
|
blanchet@38257
|
609 |
let
|
blanchet@43053
|
610 |
val thy = Proof.theory_of state
|
blanchet@39564
|
611 |
val ctxt = Proof.context_of state
|
blanchet@43845
|
612 |
val (_, hyp_ts, concl_t) = strip_subgoal ctxt goal subgoal
|
blanchet@41407
|
613 |
val (dest_dir, problem_prefix) =
|
blanchet@41407
|
614 |
if overlord then overlord_file_location_for_prover name
|
blanchet@41407
|
615 |
else (Config.get ctxt dest_dir, Config.get ctxt problem_prefix)
|
blanchet@40242
|
616 |
val problem_file_name =
|
blanchet@41407
|
617 |
Path.basic (problem_prefix ^ (if overlord then "" else serial_string ()) ^
|
blanchet@41407
|
618 |
"_" ^ string_of_int subgoal)
|
blanchet@40242
|
619 |
val problem_path_name =
|
blanchet@40240
|
620 |
if dest_dir = "" then
|
blanchet@40242
|
621 |
File.tmp_path problem_file_name
|
blanchet@40240
|
622 |
else if File.exists (Path.explode dest_dir) then
|
blanchet@40242
|
623 |
Path.append (Path.explode dest_dir) problem_file_name
|
blanchet@39247
|
624 |
else
|
blanchet@40240
|
625 |
error ("No such directory: " ^ quote dest_dir ^ ".")
|
blanchet@39247
|
626 |
val measure_run_time = verbose orelse Config.get ctxt measure_run_time
|
blanchet@38338
|
627 |
val command = Path.explode (getenv (fst exec) ^ "/" ^ snd exec)
|
blanchet@38257
|
628 |
fun split_time s =
|
blanchet@38257
|
629 |
let
|
blanchet@43319
|
630 |
val split = String.tokens (fn c => str c = "\n")
|
blanchet@43319
|
631 |
val (output, t) = s |> split |> split_last |> apfst cat_lines
|
blanchet@43319
|
632 |
fun as_num f = f >> (fst o read_int)
|
blanchet@43319
|
633 |
val num = as_num (Scan.many1 Symbol.is_ascii_digit)
|
blanchet@43319
|
634 |
val digit = Scan.one Symbol.is_ascii_digit
|
blanchet@43319
|
635 |
val num3 = as_num (digit ::: digit ::: (digit >> single))
|
blanchet@43319
|
636 |
val time = num --| Scan.$$ "." -- num3 >> (fn (a, b) => a * 1000 + b)
|
wenzelm@40875
|
637 |
val as_time = Scan.read Symbol.stopper time o raw_explode
|
blanchet@43319
|
638 |
in (output, as_time t) end
|
blanchet@41561
|
639 |
fun run_on prob_file =
|
blanchet@38338
|
640 |
case filter (curry (op =) "" o getenv o fst) (exec :: required_execs) of
|
blanchet@38278
|
641 |
(home_var, _) :: _ =>
|
blanchet@38257
|
642 |
error ("The environment variable " ^ quote home_var ^ " is not set.")
|
blanchet@38278
|
643 |
| [] =>
|
blanchet@38278
|
644 |
if File.exists command then
|
blanchet@38278
|
645 |
let
|
blanchet@43314
|
646 |
(* If slicing is disabled, we expand the last slice to fill the
|
blanchet@43314
|
647 |
entire time available. *)
|
blanchet@44063
|
648 |
val actual_slices = get_slices slicing (best_slices ctxt)
|
blanchet@43314
|
649 |
val num_actual_slices = length actual_slices
|
blanchet@43316
|
650 |
fun monomorphize_facts facts =
|
blanchet@43316
|
651 |
let
|
blanchet@44067
|
652 |
val ctxt =
|
blanchet@44108
|
653 |
ctxt |> repair_monomorph_context max_mono_iters
|
blanchet@44067
|
654 |
max_new_mono_instances
|
blanchet@43316
|
655 |
(* pseudo-theorem involving the same constants as the subgoal *)
|
blanchet@43316
|
656 |
val subgoal_th =
|
blanchet@43316
|
657 |
Logic.list_implies (hyp_ts, concl_t)
|
blanchet@43316
|
658 |
|> Skip_Proof.make_thm thy
|
blanchet@44090
|
659 |
val rths =
|
blanchet@44090
|
660 |
facts |> chop (length facts div 4)
|
blanchet@44090
|
661 |
|>> map (pair 1 o snd)
|
blanchet@44090
|
662 |
||> map (pair 2 o snd)
|
blanchet@44090
|
663 |
|> op @
|
blanchet@44090
|
664 |
|> cons (0, subgoal_th)
|
blanchet@43316
|
665 |
in
|
blanchet@44090
|
666 |
Monomorph.monomorph atp_schematic_consts_of rths ctxt
|
blanchet@44067
|
667 |
|> fst |> tl
|
blanchet@44067
|
668 |
|> curry ListPair.zip (map fst facts)
|
blanchet@44067
|
669 |
|> maps (fn (name, rths) => map (pair name o snd) rths)
|
blanchet@43316
|
670 |
end
|
blanchet@44351
|
671 |
fun run_slice (slice, (time_frac, (complete,
|
blanchet@44493
|
672 |
(best_max_relevant, best_type_enc, extra))))
|
blanchet@43314
|
673 |
time_left =
|
blanchet@38278
|
674 |
let
|
blanchet@43314
|
675 |
val num_facts =
|
blanchet@43314
|
676 |
length facts |> is_none max_relevant
|
blanchet@43588
|
677 |
? Integer.min best_max_relevant
|
blanchet@44493
|
678 |
val (format, type_enc) =
|
blanchet@44493
|
679 |
choose_format_and_type_enc best_type_enc formats type_enc
|
blanchet@44493
|
680 |
val fairly_sound = is_type_enc_fairly_sound type_enc
|
blanchet@43322
|
681 |
val facts =
|
blanchet@44055
|
682 |
facts |> map untranslated_fact
|
blanchet@44055
|
683 |
|> not fairly_sound
|
blanchet@44055
|
684 |
? filter_out (is_dangerous_prop ctxt o prop_of o snd)
|
blanchet@43509
|
685 |
|> take num_facts
|
blanchet@44493
|
686 |
|> polymorphism_of_type_enc type_enc <> Polymorphic
|
blanchet@43460
|
687 |
? monomorphize_facts
|
blanchet@44067
|
688 |
|> map (apsnd prop_of)
|
blanchet@43314
|
689 |
val real_ms = Real.fromInt o Time.toMilliseconds
|
blanchet@43314
|
690 |
val slice_timeout =
|
blanchet@43314
|
691 |
((real_ms time_left
|
blanchet@43314
|
692 |
|> (if slice < num_actual_slices - 1 then
|
blanchet@43314
|
693 |
curry Real.min (time_frac * real_ms timeout)
|
blanchet@43314
|
694 |
else
|
blanchet@43314
|
695 |
I))
|
blanchet@43314
|
696 |
* 0.001) |> seconds
|
blanchet@44513
|
697 |
val generous_slice_timeout =
|
blanchet@44513
|
698 |
Time.+ (slice_timeout, atp_timeout_slack)
|
blanchet@43314
|
699 |
val _ =
|
blanchet@43485
|
700 |
if debug then
|
blanchet@43569
|
701 |
quote name ^ " slice #" ^ string_of_int (slice + 1) ^
|
blanchet@43569
|
702 |
" with " ^ string_of_int num_facts ^ " fact" ^
|
blanchet@43569
|
703 |
plural_s num_facts ^ " for " ^
|
blanchet@43569
|
704 |
string_from_time slice_timeout ^ "..."
|
blanchet@43314
|
705 |
|> Output.urgent_message
|
blanchet@43314
|
706 |
else
|
blanchet@43314
|
707 |
()
|
blanchet@43412
|
708 |
val (atp_problem, pool, conjecture_offset, facts_offset,
|
blanchet@43750
|
709 |
fact_names, typed_helpers, sym_tab) =
|
blanchet@43780
|
710 |
prepare_atp_problem ctxt format conj_sym_kind prem_kind
|
blanchet@44727
|
711 |
type_enc sound false (translate_atp_lambdas ctxt type_enc)
|
blanchet@44692
|
712 |
(Config.get ctxt atp_readable_names) true hyp_ts concl_t
|
blanchet@44692
|
713 |
facts
|
blanchet@41561
|
714 |
fun weights () = atp_problem_weights atp_problem
|
blanchet@44231
|
715 |
val full_proof = debug orelse isar_proof
|
blanchet@41561
|
716 |
val core =
|
blanchet@41561
|
717 |
File.shell_path command ^ " " ^
|
blanchet@44344
|
718 |
arguments ctxt full_proof extra slice_timeout weights ^ " " ^
|
blanchet@41561
|
719 |
File.shell_path prob_file
|
blanchet@41561
|
720 |
val command =
|
blanchet@41561
|
721 |
(if measure_run_time then
|
blanchet@41561
|
722 |
"TIMEFORMAT='%3R'; { time " ^ core ^ " ; }"
|
blanchet@41561
|
723 |
else
|
blanchet@41561
|
724 |
"exec " ^ core) ^ " 2>&1"
|
blanchet@43314
|
725 |
val _ =
|
blanchet@43314
|
726 |
atp_problem
|
blanchet@44065
|
727 |
|> tptp_lines_for_atp_problem format
|
blanchet@43314
|
728 |
|> cons ("% " ^ command ^ "\n")
|
blanchet@43314
|
729 |
|> File.write_list prob_file
|
blanchet@43314
|
730 |
val conjecture_shape =
|
blanchet@43314
|
731 |
conjecture_offset + 1
|
blanchet@43314
|
732 |
upto conjecture_offset + length hyp_ts + 1
|
blanchet@43314
|
733 |
|> map single
|
blanchet@44498
|
734 |
val ((output, msecs), (atp_proof, outcome)) =
|
wenzelm@44721
|
735 |
TimeLimit.timeLimit generous_slice_timeout Isabelle_System.bash_output command
|
blanchet@38278
|
736 |
|>> (if overlord then
|
blanchet@38278
|
737 |
prefix ("% " ^ command ^ "\n% " ^ timestamp () ^ "\n")
|
blanchet@38278
|
738 |
else
|
blanchet@38278
|
739 |
I)
|
blanchet@44498
|
740 |
|> fst
|
blanchet@44498
|
741 |
|> (if measure_run_time then split_time else rpair NONE)
|
blanchet@44498
|
742 |
|> (fn accum as (output, _) =>
|
blanchet@44498
|
743 |
(accum,
|
blanchet@44498
|
744 |
extract_tstplike_proof_and_outcome verbose complete
|
blanchet@44498
|
745 |
proof_delims known_failures output
|
blanchet@44498
|
746 |
|>> atp_proof_from_tstplike_proof atp_problem output
|
blanchet@44498
|
747 |
handle UNRECOGNIZED_ATP_PROOF () =>
|
blanchet@44498
|
748 |
([], SOME ProofIncomplete)))
|
blanchet@44498
|
749 |
handle TimeLimit.TimeOut =>
|
blanchet@44498
|
750 |
(("", SOME (Time.toMilliseconds slice_timeout)),
|
blanchet@44498
|
751 |
([], SOME TimedOut))
|
blanchet@43320
|
752 |
val outcome =
|
blanchet@43322
|
753 |
case outcome of
|
blanchet@43458
|
754 |
NONE =>
|
blanchet@44175
|
755 |
used_facts_in_unsound_atp_proof ctxt
|
blanchet@43745
|
756 |
conjecture_shape facts_offset fact_names atp_proof
|
blanchet@43745
|
757 |
|> Option.map (fn facts =>
|
blanchet@44687
|
758 |
UnsoundProof
|
blanchet@44687
|
759 |
(if is_type_enc_virtually_sound type_enc then
|
blanchet@44687
|
760 |
SOME sound
|
blanchet@44687
|
761 |
else
|
blanchet@44687
|
762 |
NONE, facts |> sort string_ord))
|
blanchet@43322
|
763 |
| _ => outcome
|
blanchet@43314
|
764 |
in
|
blanchet@43750
|
765 |
((pool, conjecture_shape, facts_offset, fact_names,
|
blanchet@43750
|
766 |
typed_helpers, sym_tab),
|
blanchet@44175
|
767 |
(output, msecs, atp_proof, outcome))
|
blanchet@43314
|
768 |
end
|
blanchet@38883
|
769 |
val timer = Timer.startRealTimer ()
|
blanchet@44351
|
770 |
fun maybe_run_slice slice (result as (_, (_, msecs0, _, SOME _))) =
|
blanchet@43323
|
771 |
let
|
blanchet@43323
|
772 |
val time_left = Time.- (timeout, Timer.checkRealTimer timer)
|
blanchet@43323
|
773 |
in
|
blanchet@43323
|
774 |
if Time.<= (time_left, Time.zeroTime) then
|
blanchet@43323
|
775 |
result
|
blanchet@43323
|
776 |
else
|
blanchet@44351
|
777 |
(run_slice slice time_left
|
blanchet@44175
|
778 |
|> (fn (stuff, (output, msecs, atp_proof, outcome)) =>
|
blanchet@44175
|
779 |
(stuff, (output, int_opt_add msecs0 msecs,
|
blanchet@43588
|
780 |
atp_proof, outcome))))
|
blanchet@43323
|
781 |
end
|
blanchet@44351
|
782 |
| maybe_run_slice _ result = result
|
blanchet@43314
|
783 |
in
|
blanchet@43750
|
784 |
((Symtab.empty, [], 0, Vector.fromList [], [], Symtab.empty),
|
blanchet@44175
|
785 |
("", SOME 0, [], SOME InternalError))
|
blanchet@44351
|
786 |
|> fold maybe_run_slice actual_slices
|
blanchet@43314
|
787 |
end
|
blanchet@38278
|
788 |
else
|
wenzelm@44475
|
789 |
error ("Bad executable: " ^ Path.print command)
|
blanchet@38257
|
790 |
|
blanchet@38257
|
791 |
(* If the problem file has not been exported, remove it; otherwise, export
|
blanchet@38257
|
792 |
the proof file too. *)
|
blanchet@41561
|
793 |
fun cleanup prob_file =
|
blanchet@41561
|
794 |
if dest_dir = "" then try File.rm prob_file else NONE
|
blanchet@44175
|
795 |
fun export prob_file (_, (output, _, _, _)) =
|
blanchet@40240
|
796 |
if dest_dir = "" then
|
blanchet@38257
|
797 |
()
|
blanchet@38257
|
798 |
else
|
blanchet@41561
|
799 |
File.write (Path.explode (Path.implode prob_file ^ "_proof")) output
|
blanchet@43750
|
800 |
val ((pool, conjecture_shape, facts_offset, fact_names, typed_helpers,
|
blanchet@43750
|
801 |
sym_tab),
|
blanchet@44175
|
802 |
(output, msecs, atp_proof, outcome)) =
|
blanchet@40242
|
803 |
with_path cleanup export run_on problem_path_name
|
blanchet@39732
|
804 |
val important_message =
|
blanchet@43862
|
805 |
if mode = Normal andalso
|
blanchet@43480
|
806 |
random_range 0 (atp_important_message_keep_quotient - 1) = 0 then
|
blanchet@39732
|
807 |
extract_important_message output
|
blanchet@39732
|
808 |
else
|
blanchet@39732
|
809 |
""
|
blanchet@44102
|
810 |
val (used_facts, preplay, message, message_tail) =
|
blanchet@38257
|
811 |
case outcome of
|
blanchet@38257
|
812 |
NONE =>
|
blanchet@43874
|
813 |
let
|
blanchet@43874
|
814 |
val used_facts =
|
blanchet@44175
|
815 |
used_facts_in_atp_proof ctxt facts_offset fact_names atp_proof
|
blanchet@43874
|
816 |
in
|
blanchet@43893
|
817 |
(used_facts,
|
blanchet@43893
|
818 |
fn () =>
|
blanchet@43893
|
819 |
let
|
blanchet@43893
|
820 |
val used_ths =
|
blanchet@43893
|
821 |
facts |> map untranslated_fact |> filter_used_facts used_facts
|
blanchet@43893
|
822 |
|> map snd
|
blanchet@43893
|
823 |
in
|
blanchet@44853
|
824 |
(if mode = Minimize andalso
|
blanchet@44853
|
825 |
Time.> (preplay_timeout, Time.zeroTime) then
|
blanchet@44439
|
826 |
Output.urgent_message "Preplaying proof..."
|
blanchet@44439
|
827 |
else
|
blanchet@44439
|
828 |
());
|
blanchet@43893
|
829 |
play_one_line_proof debug preplay_timeout used_ths state subgoal
|
blanchet@44069
|
830 |
metis_reconstructors
|
blanchet@43893
|
831 |
end,
|
blanchet@43893
|
832 |
fn preplay =>
|
blanchet@43893
|
833 |
let
|
blanchet@43893
|
834 |
val full_types = uses_typed_helpers typed_helpers atp_proof
|
blanchet@43893
|
835 |
val isar_params =
|
blanchet@44175
|
836 |
(debug, full_types, isar_shrink_factor, pool,
|
blanchet@44175
|
837 |
conjecture_shape, facts_offset, fact_names, sym_tab,
|
blanchet@44175
|
838 |
atp_proof, goal)
|
blanchet@43893
|
839 |
val one_line_params =
|
blanchet@43893
|
840 |
(preplay, proof_banner mode name, used_facts,
|
blanchet@43893
|
841 |
choose_minimize_command minimize_command name preplay,
|
blanchet@43893
|
842 |
subgoal, subgoal_count)
|
blanchet@44102
|
843 |
in proof_text ctxt isar_proof isar_params one_line_params end,
|
blanchet@44102
|
844 |
(if verbose then
|
blanchet@44102
|
845 |
"\nATP real CPU time: " ^
|
blanchet@44102
|
846 |
string_from_time (Time.fromMilliseconds (the msecs)) ^ "."
|
blanchet@44102
|
847 |
else
|
blanchet@44102
|
848 |
"") ^
|
blanchet@44102
|
849 |
(if important_message <> "" then
|
blanchet@44102
|
850 |
"\n\nImportant message from Dr. Geoff Sutcliffe:\n" ^
|
blanchet@44102
|
851 |
important_message
|
blanchet@44102
|
852 |
else
|
blanchet@44102
|
853 |
""))
|
blanchet@43874
|
854 |
end
|
blanchet@43893
|
855 |
| SOME failure =>
|
blanchet@44102
|
856 |
([], K (Failed_to_Play Metis), fn _ => string_for_failure failure, "")
|
blanchet@38257
|
857 |
in
|
blanchet@43893
|
858 |
{outcome = outcome, used_facts = used_facts, run_time_in_msecs = msecs,
|
blanchet@44102
|
859 |
preplay = preplay, message = message, message_tail = message_tail}
|
blanchet@38257
|
860 |
end
|
blanchet@38257
|
861 |
|
blanchet@40917
|
862 |
(* "SMT_Failure.Abnormal_Termination" carries the solver's return code. Until
|
blanchet@40917
|
863 |
these are sorted out properly in the SMT module, we have to interpret these
|
blanchet@40917
|
864 |
ourselves. *)
|
blanchet@40932
|
865 |
val remote_smt_failures =
|
blanchet@44498
|
866 |
[(2, NoLibwwwPerl),
|
blanchet@44498
|
867 |
(22, CantConnect)]
|
blanchet@40932
|
868 |
val z3_failures =
|
blanchet@41477
|
869 |
[(101, OutOfResources),
|
blanchet@41477
|
870 |
(103, MalformedInput),
|
blanchet@41470
|
871 |
(110, MalformedInput)]
|
blanchet@40932
|
872 |
val unix_failures =
|
blanchet@40932
|
873 |
[(139, Crashed)]
|
blanchet@44498
|
874 |
val smt_failures = remote_smt_failures @ z3_failures @ unix_failures
|
blanchet@40797
|
875 |
|
blanchet@42964
|
876 |
fun failure_from_smt_failure (SMT_Failure.Counterexample {is_real_cex, ...}) =
|
blanchet@43891
|
877 |
if is_real_cex then Unprovable else GaveUp
|
blanchet@41470
|
878 |
| failure_from_smt_failure SMT_Failure.Time_Out = TimedOut
|
blanchet@41470
|
879 |
| failure_from_smt_failure (SMT_Failure.Abnormal_Termination code) =
|
blanchet@41470
|
880 |
(case AList.lookup (op =) smt_failures code of
|
blanchet@40932
|
881 |
SOME failure => failure
|
blanchet@41505
|
882 |
| NONE => UnknownError ("Abnormal termination with exit code " ^
|
blanchet@41505
|
883 |
string_of_int code ^ "."))
|
blanchet@41470
|
884 |
| failure_from_smt_failure SMT_Failure.Out_Of_Memory = OutOfResources
|
blanchet@41470
|
885 |
| failure_from_smt_failure (SMT_Failure.Other_Failure msg) =
|
blanchet@42916
|
886 |
UnknownError msg
|
wenzelm@28586
|
887 |
|
blanchet@40946
|
888 |
(* FUDGE *)
|
blanchet@43517
|
889 |
val smt_max_slices =
|
blanchet@43517
|
890 |
Attrib.setup_config_int @{binding sledgehammer_smt_max_slices} (K 8)
|
blanchet@43517
|
891 |
val smt_slice_fact_frac =
|
blanchet@43517
|
892 |
Attrib.setup_config_real @{binding sledgehammer_smt_slice_fact_frac} (K 0.5)
|
blanchet@43517
|
893 |
val smt_slice_time_frac =
|
blanchet@43517
|
894 |
Attrib.setup_config_real @{binding sledgehammer_smt_slice_time_frac} (K 0.5)
|
blanchet@43517
|
895 |
val smt_slice_min_secs =
|
blanchet@43517
|
896 |
Attrib.setup_config_int @{binding sledgehammer_smt_slice_min_secs} (K 5)
|
blanchet@40636
|
897 |
|
blanchet@43517
|
898 |
fun smt_filter_loop ctxt name
|
blanchet@43589
|
899 |
({debug, verbose, overlord, max_mono_iters,
|
blanchet@43605
|
900 |
max_new_mono_instances, timeout, slicing, ...} : params)
|
blanchet@42612
|
901 |
state i smt_filter =
|
blanchet@40636
|
902 |
let
|
blanchet@43517
|
903 |
val max_slices = if slicing then Config.get ctxt smt_max_slices else 1
|
blanchet@41483
|
904 |
val repair_context =
|
blanchet@44074
|
905 |
select_smt_solver name
|
blanchet@44074
|
906 |
#> (if overlord then
|
blanchet@44074
|
907 |
Config.put SMT_Config.debug_files
|
blanchet@44074
|
908 |
(overlord_file_location_for_prover name
|
blanchet@44074
|
909 |
|> (fn (path, name) => path ^ "/" ^ name))
|
blanchet@44074
|
910 |
else
|
blanchet@44074
|
911 |
I)
|
blanchet@44074
|
912 |
#> Config.put SMT_Config.infer_triggers (Config.get ctxt smt_triggers)
|
blanchet@41483
|
913 |
val state = state |> Proof.map_context repair_context
|
blanchet@43314
|
914 |
fun do_slice timeout slice outcome0 time_so_far facts =
|
blanchet@40795
|
915 |
let
|
blanchet@40795
|
916 |
val timer = Timer.startRealTimer ()
|
blanchet@43589
|
917 |
val state =
|
blanchet@43589
|
918 |
state |> Proof.map_context
|
blanchet@44108
|
919 |
(repair_monomorph_context max_mono_iters
|
blanchet@44108
|
920 |
max_new_mono_instances)
|
blanchet@40795
|
921 |
val ms = timeout |> Time.toMilliseconds
|
blanchet@43314
|
922 |
val slice_timeout =
|
blanchet@43314
|
923 |
if slice < max_slices then
|
blanchet@41415
|
924 |
Int.min (ms,
|
blanchet@43517
|
925 |
Int.max (1000 * Config.get ctxt smt_slice_min_secs,
|
blanchet@43517
|
926 |
Real.ceil (Config.get ctxt smt_slice_time_frac
|
blanchet@43517
|
927 |
* Real.fromInt ms)))
|
blanchet@40795
|
928 |
|> Time.fromMilliseconds
|
blanchet@40795
|
929 |
else
|
blanchet@40795
|
930 |
timeout
|
blanchet@40795
|
931 |
val num_facts = length facts
|
blanchet@40795
|
932 |
val _ =
|
blanchet@43485
|
933 |
if debug then
|
blanchet@43485
|
934 |
quote name ^ " slice " ^ string_of_int slice ^ " with " ^
|
blanchet@43485
|
935 |
string_of_int num_facts ^ " fact" ^ plural_s num_facts ^ " for " ^
|
blanchet@43485
|
936 |
string_from_time slice_timeout ^ "..."
|
blanchet@40795
|
937 |
|> Output.urgent_message
|
blanchet@40795
|
938 |
else
|
blanchet@40795
|
939 |
()
|
blanchet@41414
|
940 |
val birth = Timer.checkRealTimer timer
|
blanchet@41419
|
941 |
val _ =
|
blanchet@41459
|
942 |
if debug then Output.urgent_message "Invoking SMT solver..." else ()
|
blanchet@41457
|
943 |
val (outcome, used_facts) =
|
blanchet@43314
|
944 |
(case (slice, smt_filter) of
|
boehmes@41680
|
945 |
(1, SOME head) => head |> apsnd (apsnd repair_context)
|
boehmes@41680
|
946 |
| _ => SMT_Solver.smt_filter_preprocess state facts i)
|
blanchet@43314
|
947 |
|> SMT_Solver.smt_filter_apply slice_timeout
|
blanchet@41480
|
948 |
|> (fn {outcome, used_facts} => (outcome, used_facts))
|
blanchet@41457
|
949 |
handle exn => if Exn.is_interrupt exn then
|
blanchet@41457
|
950 |
reraise exn
|
blanchet@41457
|
951 |
else
|
blanchet@42916
|
952 |
(ML_Compiler.exn_message exn
|
blanchet@41457
|
953 |
|> SMT_Failure.Other_Failure |> SOME, [])
|
blanchet@41414
|
954 |
val death = Timer.checkRealTimer timer
|
blanchet@40795
|
955 |
val outcome0 = if is_none outcome0 then SOME outcome else outcome0
|
blanchet@41414
|
956 |
val time_so_far = Time.+ (time_so_far, Time.- (death, birth))
|
blanchet@40795
|
957 |
val too_many_facts_perhaps =
|
blanchet@40795
|
958 |
case outcome of
|
blanchet@40795
|
959 |
NONE => false
|
blanchet@40795
|
960 |
| SOME (SMT_Failure.Counterexample _) => false
|
blanchet@43314
|
961 |
| SOME SMT_Failure.Time_Out => slice_timeout <> timeout
|
blanchet@43485
|
962 |
| SOME (SMT_Failure.Abnormal_Termination _) => true (* kind of *)
|
blanchet@40795
|
963 |
| SOME SMT_Failure.Out_Of_Memory => true
|
blanchet@41459
|
964 |
| SOME (SMT_Failure.Other_Failure _) => true
|
blanchet@40795
|
965 |
val timeout = Time.- (timeout, Timer.checkRealTimer timer)
|
blanchet@40795
|
966 |
in
|
blanchet@43314
|
967 |
if too_many_facts_perhaps andalso slice < max_slices andalso
|
blanchet@40795
|
968 |
num_facts > 0 andalso Time.> (timeout, Time.zeroTime) then
|
blanchet@41415
|
969 |
let
|
blanchet@43485
|
970 |
val new_num_facts =
|
blanchet@43517
|
971 |
Real.ceil (Config.get ctxt smt_slice_fact_frac
|
blanchet@43517
|
972 |
* Real.fromInt num_facts)
|
blanchet@43485
|
973 |
val _ =
|
blanchet@43485
|
974 |
if verbose andalso is_some outcome then
|
blanchet@43485
|
975 |
quote name ^ " invoked with " ^ string_of_int num_facts ^
|
blanchet@43485
|
976 |
" fact" ^ plural_s num_facts ^ ": " ^
|
blanchet@43485
|
977 |
string_for_failure (failure_from_smt_failure (the outcome)) ^
|
blanchet@43485
|
978 |
" Retrying with " ^ string_of_int new_num_facts ^ " fact" ^
|
blanchet@43509
|
979 |
plural_s new_num_facts ^ "..."
|
blanchet@43485
|
980 |
|> Output.urgent_message
|
blanchet@43485
|
981 |
else
|
blanchet@43485
|
982 |
()
|
blanchet@43314
|
983 |
in
|
blanchet@43485
|
984 |
facts |> take new_num_facts
|
blanchet@43485
|
985 |
|> do_slice timeout (slice + 1) outcome0 time_so_far
|
blanchet@43314
|
986 |
end
|
blanchet@40795
|
987 |
else
|
blanchet@40795
|
988 |
{outcome = if is_none outcome then NONE else the outcome0,
|
blanchet@41414
|
989 |
used_facts = used_facts,
|
blanchet@41414
|
990 |
run_time_in_msecs = SOME (Time.toMilliseconds time_so_far)}
|
blanchet@40636
|
991 |
end
|
blanchet@43314
|
992 |
in do_slice timeout 1 NONE Time.zeroTime end
|
blanchet@40636
|
993 |
|
blanchet@43893
|
994 |
fun run_smt_solver mode name (params as {debug, verbose, preplay_timeout, ...})
|
blanchet@43852
|
995 |
minimize_command
|
blanchet@43852
|
996 |
({state, subgoal, subgoal_count, facts, smt_filter, ...}
|
blanchet@43852
|
997 |
: prover_problem) =
|
blanchet@36379
|
998 |
let
|
blanchet@41483
|
999 |
val ctxt = Proof.context_of state
|
blanchet@41502
|
1000 |
val num_facts = length facts
|
blanchet@41502
|
1001 |
val facts = facts ~~ (0 upto num_facts - 1)
|
blanchet@43517
|
1002 |
|> map (smt_weighted_fact ctxt num_facts)
|
blanchet@40422
|
1003 |
val {outcome, used_facts, run_time_in_msecs} =
|
blanchet@43517
|
1004 |
smt_filter_loop ctxt name params state subgoal smt_filter facts
|
blanchet@43878
|
1005 |
val (used_facts, used_ths) = used_facts |> ListPair.unzip
|
blanchet@41470
|
1006 |
val outcome = outcome |> Option.map failure_from_smt_failure
|
blanchet@44102
|
1007 |
val (preplay, message, message_tail) =
|
blanchet@40425
|
1008 |
case outcome of
|
blanchet@40425
|
1009 |
NONE =>
|
blanchet@43893
|
1010 |
(fn () =>
|
blanchet@43893
|
1011 |
let
|
blanchet@43893
|
1012 |
fun smt_settings () =
|
blanchet@43893
|
1013 |
if name = SMT_Solver.solver_name_of ctxt then ""
|
blanchet@43893
|
1014 |
else "smt_solver = " ^ maybe_quote name
|
blanchet@43893
|
1015 |
in
|
blanchet@43893
|
1016 |
case play_one_line_proof debug preplay_timeout used_ths state
|
blanchet@44069
|
1017 |
subgoal metis_reconstructors of
|
blanchet@44009
|
1018 |
p as Played _ => p
|
blanchet@44009
|
1019 |
| _ => Trust_Playable (SMT (smt_settings ()), NONE)
|
blanchet@43893
|
1020 |
end,
|
blanchet@43893
|
1021 |
fn preplay =>
|
blanchet@43893
|
1022 |
let
|
blanchet@43893
|
1023 |
val one_line_params =
|
blanchet@43893
|
1024 |
(preplay, proof_banner mode name, used_facts,
|
blanchet@43893
|
1025 |
choose_minimize_command minimize_command name preplay,
|
blanchet@43893
|
1026 |
subgoal, subgoal_count)
|
blanchet@44102
|
1027 |
in one_line_proof_text one_line_params end,
|
blanchet@44102
|
1028 |
if verbose then
|
blanchet@44102
|
1029 |
"\nSMT solver real CPU time: " ^
|
blanchet@44102
|
1030 |
string_from_time (Time.fromMilliseconds
|
blanchet@44102
|
1031 |
(the run_time_in_msecs)) ^ "."
|
blanchet@44102
|
1032 |
else
|
blanchet@44102
|
1033 |
"")
|
blanchet@44007
|
1034 |
| SOME failure =>
|
blanchet@44102
|
1035 |
(K (Failed_to_Play Metis), fn _ => string_for_failure failure, "")
|
blanchet@40244
|
1036 |
in
|
blanchet@43878
|
1037 |
{outcome = outcome, used_facts = used_facts,
|
blanchet@43893
|
1038 |
run_time_in_msecs = run_time_in_msecs, preplay = preplay,
|
blanchet@44102
|
1039 |
message = message, message_tail = message_tail}
|
blanchet@40244
|
1040 |
end
|
blanchet@40244
|
1041 |
|
blanchet@43893
|
1042 |
fun run_metis mode name ({debug, timeout, ...} : params) minimize_command
|
blanchet@43891
|
1043 |
({state, subgoal, subgoal_count, facts, ...} : prover_problem) =
|
blanchet@43891
|
1044 |
let
|
blanchet@44069
|
1045 |
val reconstructor =
|
blanchet@44069
|
1046 |
case AList.lookup (op =) metis_prover_infos name of
|
blanchet@44069
|
1047 |
SOME r => r
|
blanchet@44069
|
1048 |
| NONE => raise Fail ("unknown Metis version: " ^ quote name)
|
blanchet@43891
|
1049 |
val (used_facts, used_ths) =
|
blanchet@43891
|
1050 |
facts |> map untranslated_fact |> ListPair.unzip
|
blanchet@43891
|
1051 |
in
|
blanchet@43891
|
1052 |
case play_one_line_proof debug timeout used_ths state subgoal
|
blanchet@43891
|
1053 |
[reconstructor] of
|
blanchet@43891
|
1054 |
play as Played (_, time) =>
|
blanchet@43893
|
1055 |
{outcome = NONE, used_facts = used_facts,
|
blanchet@43893
|
1056 |
run_time_in_msecs = SOME (Time.toMilliseconds time),
|
blanchet@43893
|
1057 |
preplay = K play,
|
blanchet@43893
|
1058 |
message = fn play =>
|
blanchet@43893
|
1059 |
let
|
blanchet@43893
|
1060 |
val one_line_params =
|
blanchet@43893
|
1061 |
(play, proof_banner mode name, used_facts,
|
blanchet@43893
|
1062 |
minimize_command name, subgoal, subgoal_count)
|
blanchet@44102
|
1063 |
in one_line_proof_text one_line_params end,
|
blanchet@44102
|
1064 |
message_tail = ""}
|
blanchet@43893
|
1065 |
| play =>
|
blanchet@44007
|
1066 |
let
|
blanchet@44007
|
1067 |
val failure = case play of Failed_to_Play _ => GaveUp | _ => TimedOut
|
blanchet@44007
|
1068 |
in
|
blanchet@43893
|
1069 |
{outcome = SOME failure, used_facts = [], run_time_in_msecs = NONE,
|
blanchet@44102
|
1070 |
preplay = K play, message = fn _ => string_for_failure failure,
|
blanchet@44102
|
1071 |
message_tail = ""}
|
blanchet@43891
|
1072 |
end
|
blanchet@43891
|
1073 |
end
|
blanchet@43891
|
1074 |
|
blanchet@43862
|
1075 |
fun get_prover ctxt mode name =
|
wenzelm@43232
|
1076 |
let val thy = Proof_Context.theory_of ctxt in
|
blanchet@43893
|
1077 |
if is_metis_prover name then run_metis mode name
|
blanchet@43893
|
1078 |
else if is_atp thy name then run_atp mode name (get_atp thy name)
|
blanchet@43893
|
1079 |
else if is_smt_prover ctxt name then run_smt_solver mode name
|
blanchet@43893
|
1080 |
else error ("No such prover: " ^ name ^ ".")
|
blanchet@41189
|
1081 |
end
|
blanchet@40244
|
1082 |
|
wenzelm@28582
|
1083 |
end;
|