src/HOL/Tools/res_atp.ML
author paulson
Fri Oct 06 11:17:27 2006 +0200 (2006-10-06)
changeset 20868 724ab9896068
parent 20854 f9cf9e62d11c
child 20870 992bcbff055a
permissions -rw-r--r--
Improved detection of identical clauses, also in the conjecture
     1 (*  Author: Jia Meng, Cambridge University Computer Laboratory, NICTA
     2     ID: $Id$
     3     Copyright 2004 University of Cambridge
     4 
     5 ATPs with TPTP format input.
     6 *)
     7 
     8 (*FIXME: Do we need this signature?*)
     9 signature RES_ATP =
    10 sig
    11   val prover: string ref
    12   val custom_spass: string list ref
    13   val destdir: string ref
    14   val helper_path: string -> string -> string
    15   val problem_name: string ref
    16   val time_limit: int ref
    17    
    18   datatype mode = Auto | Fol | Hol
    19   val linkup_logic_mode : mode ref
    20   val write_subgoal_file: bool -> mode -> Proof.context -> thm list -> thm list -> int -> string
    21   val vampire_time: int ref
    22   val eprover_time: int ref
    23   val spass_time: int ref
    24   val run_vampire: int -> unit
    25   val run_eprover: int -> unit
    26   val run_spass: int -> unit
    27   val vampireLimit: unit -> int
    28   val eproverLimit: unit -> int
    29   val spassLimit: unit -> int
    30   val atp_method: (Proof.context -> thm list -> int -> tactic) ->
    31     Method.src -> Proof.context -> Proof.method
    32   val cond_rm_tmp: string -> unit
    33   val keep_atp_input: bool ref
    34   val fol_keep_types: bool ref
    35   val hol_full_types: unit -> unit
    36   val hol_partial_types: unit -> unit
    37   val hol_const_types_only: unit -> unit
    38   val hol_no_types: unit -> unit
    39   val hol_typ_level: unit -> ResHolClause.type_level
    40   val include_all: bool ref
    41   val run_relevance_filter: bool ref
    42   val run_blacklist_filter: bool ref
    43   val blacklist: string list ref
    44   val add_all : unit -> unit
    45   val add_claset : unit -> unit
    46   val add_simpset : unit -> unit
    47   val add_clasimp : unit -> unit
    48   val add_atpset : unit -> unit
    49   val rm_all : unit -> unit
    50   val rm_claset : unit -> unit
    51   val rm_simpset : unit -> unit
    52   val rm_atpset : unit -> unit
    53   val rm_clasimp : unit -> unit
    54 end;
    55 
    56 structure ResAtp =
    57 struct
    58 
    59 (********************************************************************)
    60 (* some settings for both background automatic ATP calling procedure*)
    61 (* and also explicit ATP invocation methods                         *)
    62 (********************************************************************)
    63 
    64 (*** background linkup ***)
    65 val call_atp = ref false; 
    66 val hook_count = ref 0;
    67 val time_limit = ref 80;
    68 val prover = ref "E";   (* use E as the default prover *)
    69 val custom_spass =   (*specialized options for SPASS*)
    70       ref ["-Auto=0","-FullRed=0","-IORe","-IOFc","-RTaut","-RFSub","-RBSub"];
    71 val destdir = ref "";   (*Empty means write files to /tmp*)
    72 val problem_name = ref "prob";
    73 
    74 (*Return the path to a "helper" like SPASS or tptp2X, first checking that
    75   it exists.  FIXME: modify to use Path primitives and move to some central place.*)  
    76 fun helper_path evar base =
    77   case getenv evar of
    78       "" => error  ("Isabelle environment variable " ^ evar ^ " not defined")
    79     | home => 
    80         let val path = home ^ "/" ^ base
    81         in  if File.exists (File.unpack_platform_path path) then path 
    82 	    else error ("Could not find the file " ^ path)
    83 	end;  
    84 
    85 fun probfile_nosuffix _ = 
    86   if !destdir = "" then File.platform_path (File.tmp_path (Path.basic (!problem_name)))
    87   else if File.exists (File.unpack_platform_path (!destdir))
    88   then !destdir ^ "/" ^ !problem_name
    89   else error ("No such directory: " ^ !destdir);
    90 
    91 fun prob_pathname n = probfile_nosuffix n ^ "_" ^ Int.toString n;
    92 
    93 
    94 (*** ATP methods ***)
    95 val vampire_time = ref 60;
    96 val eprover_time = ref 60;
    97 val spass_time = ref 60;
    98 
    99 fun run_vampire time =  
   100     if (time >0) then vampire_time:= time
   101     else vampire_time:=60;
   102 
   103 fun run_eprover time = 
   104     if (time > 0) then eprover_time:= time
   105     else eprover_time:=60;
   106 
   107 fun run_spass time = 
   108     if (time > 0) then spass_time:=time
   109     else spass_time:=60;
   110 
   111 
   112 fun vampireLimit () = !vampire_time;
   113 fun eproverLimit () = !eprover_time;
   114 fun spassLimit () = !spass_time;
   115 
   116 val keep_atp_input = ref false;
   117 val fol_keep_types = ResClause.keep_types;
   118 val hol_full_types = ResHolClause.full_types;
   119 val hol_partial_types = ResHolClause.partial_types;
   120 val hol_const_types_only = ResHolClause.const_types_only;
   121 val hol_no_types = ResHolClause.no_types;
   122 fun hol_typ_level () = ResHolClause.find_typ_level ();
   123 fun is_typed_hol () = 
   124     let val tp_level = hol_typ_level()
   125     in
   126 	not (tp_level = ResHolClause.T_NONE)
   127     end;
   128 
   129 fun atp_input_file () =
   130     let val file = !problem_name 
   131     in
   132 	if !destdir = "" then File.platform_path (File.tmp_path (Path.basic file))
   133 	else if File.exists (File.unpack_platform_path (!destdir))
   134 	then !destdir ^ "/" ^ file
   135 	else error ("No such directory: " ^ !destdir)
   136     end;
   137 
   138 val include_all = ref true;
   139 val include_simpset = ref false;
   140 val include_claset = ref false; 
   141 val include_atpset = ref true;
   142 
   143 (*Tests show that follow_defs gives VERY poor results with "include_all"*)
   144 fun add_all() = (include_all:=true; ReduceAxiomsN.follow_defs := false);
   145 fun rm_all() = include_all:=false;
   146 
   147 fun add_simpset() = include_simpset:=true;
   148 fun rm_simpset() = include_simpset:=false;
   149 
   150 fun add_claset() = include_claset:=true;
   151 fun rm_claset() = include_claset:=false;
   152 
   153 fun add_clasimp() = (include_simpset:=true;include_claset:=true);
   154 fun rm_clasimp() = (include_simpset:=false;include_claset:=false);
   155 
   156 fun add_atpset() = include_atpset:=true;
   157 fun rm_atpset() = include_atpset:=false;
   158 
   159 
   160 (**** relevance filter ****)
   161 val run_relevance_filter = ReduceAxiomsN.run_relevance_filter;
   162 val run_blacklist_filter = ref true;
   163 
   164 (******************************************************************)
   165 (* detect whether a given problem (clauses) is FOL/HOL/HOLC/HOLCS *)
   166 (******************************************************************)
   167 
   168 datatype logic = FOL | HOL | HOLC | HOLCS;
   169 
   170 fun string_of_logic FOL = "FOL"
   171   | string_of_logic HOL = "HOL"
   172   | string_of_logic HOLC = "HOLC"
   173   | string_of_logic HOLCS = "HOLCS";
   174 
   175 fun is_fol_logic FOL = true
   176   | is_fol_logic  _ = false
   177 
   178 (*HOLCS will not occur here*)
   179 fun upgrade_lg HOLC _ = HOLC
   180   | upgrade_lg HOL HOLC = HOLC
   181   | upgrade_lg HOL _ = HOL
   182   | upgrade_lg FOL lg = lg; 
   183 
   184 (* check types *)
   185 fun has_bool_hfn (Type("bool",_)) = true
   186   | has_bool_hfn (Type("fun",_)) = true
   187   | has_bool_hfn (Type(_, Ts)) = exists has_bool_hfn Ts
   188   | has_bool_hfn _ = false;
   189 
   190 fun is_hol_fn tp =
   191     let val (targs,tr) = strip_type tp
   192     in
   193 	exists (has_bool_hfn) (tr::targs)
   194     end;
   195 
   196 fun is_hol_pred tp =
   197     let val (targs,tr) = strip_type tp
   198     in
   199 	exists (has_bool_hfn) targs
   200     end;
   201 
   202 exception FN_LG of term;
   203 
   204 fun fn_lg (t as Const(f,tp)) (lg,seen) = 
   205     if is_hol_fn tp then (upgrade_lg HOL lg, insert (op =) t seen) else (lg, insert (op =) t seen) 
   206   | fn_lg (t as Free(f,tp)) (lg,seen) = 
   207     if is_hol_fn tp then (upgrade_lg HOL lg, insert (op =) t seen) else (lg, insert (op =) t seen) 
   208   | fn_lg (t as Var(f,tp)) (lg,seen) =
   209     if is_hol_fn tp then (upgrade_lg HOL lg,insert (op =) t seen) else (lg,insert (op =) t seen)
   210   | fn_lg (t as Abs(_,_,_)) (lg,seen) = (upgrade_lg HOLC lg,insert (op =) t seen)
   211   | fn_lg f _ = raise FN_LG(f); 
   212 
   213 
   214 fun term_lg [] (lg,seen) = (lg,seen)
   215   | term_lg (tm::tms) (FOL,seen) =
   216       let val (f,args) = strip_comb tm
   217 	  val (lg',seen') = if f mem seen then (FOL,seen) 
   218 			    else fn_lg f (FOL,seen)
   219       in
   220 	if is_fol_logic lg' then ()
   221         else Output.debug ("Found a HOL term: " ^ Display.raw_string_of_term f);
   222         term_lg (args@tms) (lg',seen')
   223       end
   224   | term_lg _ (lg,seen) = (lg,seen)
   225 
   226 exception PRED_LG of term;
   227 
   228 fun pred_lg (t as Const(P,tp)) (lg,seen)= 
   229       if is_hol_pred tp then (upgrade_lg HOL lg, insert (op =) t seen) else (lg,insert (op =) t seen) 
   230   | pred_lg (t as Free(P,tp)) (lg,seen) =
   231       if is_hol_pred tp then (upgrade_lg HOL lg, insert (op =) t seen) else (lg,insert (op =) t seen)
   232   | pred_lg (t as Var(_,_)) (lg,seen) = (upgrade_lg HOL lg, insert (op =) t seen)
   233   | pred_lg P _ = raise PRED_LG(P);
   234 
   235 
   236 fun lit_lg (Const("Not",_) $ P) (lg,seen) = lit_lg P (lg,seen)
   237   | lit_lg P (lg,seen) =
   238       let val (pred,args) = strip_comb P
   239 	  val (lg',seen') = if pred mem seen then (lg,seen) 
   240 			    else pred_lg pred (lg,seen)
   241       in
   242 	if is_fol_logic lg' then ()
   243 	else Output.debug ("Found a HOL predicate: " ^ Display.raw_string_of_term pred);
   244 	term_lg args (lg',seen')
   245       end;
   246 
   247 fun lits_lg [] (lg,seen) = (lg,seen)
   248   | lits_lg (lit::lits) (FOL,seen) =
   249       let val (lg,seen') = lit_lg lit (FOL,seen)
   250       in
   251 	if is_fol_logic lg then ()
   252 	else Output.debug ("Found a HOL literal: " ^ Display.raw_string_of_term lit);
   253 	lits_lg lits (lg,seen')
   254       end
   255   | lits_lg lits (lg,seen) = (lg,seen);
   256 
   257 fun dest_disj_aux (Const ("op |", _) $ t $ t') disjs = 
   258     dest_disj_aux t (dest_disj_aux t' disjs)
   259   | dest_disj_aux t disjs = t::disjs;
   260 
   261 fun dest_disj t = dest_disj_aux t [];
   262 
   263 fun logic_of_clause tm (lg,seen) =
   264     let val tm' = HOLogic.dest_Trueprop tm
   265 	val disjs = dest_disj tm'
   266     in
   267 	lits_lg disjs (lg,seen)
   268     end;
   269 
   270 fun logic_of_clauses [] (lg,seen) = (lg,seen)
   271   | logic_of_clauses (cls::clss) (FOL,seen) =
   272     let val (lg,seen') = logic_of_clause cls (FOL,seen)
   273 	val _ =
   274           if is_fol_logic lg then ()
   275           else Output.debug ("Found a HOL clause: " ^ Display.raw_string_of_term cls)
   276     in
   277 	logic_of_clauses clss (lg,seen')
   278     end
   279   | logic_of_clauses (cls::clss) (lg,seen) = (lg,seen);
   280 
   281 fun problem_logic_goals_aux [] (lg,seen) = lg
   282   | problem_logic_goals_aux (subgoal::subgoals) (lg,seen) = 
   283     problem_logic_goals_aux subgoals (logic_of_clauses subgoal (lg,seen));
   284     
   285 fun problem_logic_goals subgoals = problem_logic_goals_aux subgoals (FOL,[]);
   286 
   287 (***************************************************************)
   288 (* Retrieving and filtering lemmas                             *)
   289 (***************************************************************)
   290 
   291 (*** white list and black list of lemmas ***)
   292 
   293 (*The rule subsetI is frequently omitted by the relevance filter.*)
   294 val whitelist = ref [subsetI]; 
   295 
   296 (*Names of theorems and theorem lists to be banned. The final numeric suffix of
   297   theorem lists is first removed.
   298 
   299   These theorems typically produce clauses that are prolific (match too many equality or
   300   membership literals) and relate to seldom-used facts. Some duplicate other rules.
   301   FIXME: this blacklist needs to be maintained using theory data and added to using
   302   an attribute.*)
   303 val blacklist = ref
   304   ["Datatype.prod.size",
   305    "Datatype.unit.induct", (*"unit" thms cause unsound proofs; unit.nchotomy is caught automatically*)
   306    "Datatype.unit.inducts",
   307    "Datatype.unit.split_asm", 
   308    "Datatype.unit.split",
   309    "Datatype.unit.splits",
   310    "Divides.dvd_0_left_iff",
   311    "Finite_Set.card_0_eq",
   312    "Finite_Set.card_infinite",
   313    "Finite_Set.Max_ge",
   314    "Finite_Set.Max_in",
   315    "Finite_Set.Max_le_iff",
   316    "Finite_Set.Max_less_iff",
   317    "Finite_Set.max.f_below_strict_below.below_f_conv", (*duplicates in Orderings.*)
   318    "Finite_Set.max.f_below_strict_below.strict_below_f_conv", (*duplicates in Orderings.*)
   319    "Finite_Set.Min_ge_iff",
   320    "Finite_Set.Min_gr_iff",
   321    "Finite_Set.Min_in",
   322    "Finite_Set.Min_le",
   323    "Finite_Set.min_max.below_inf_sup_Inf_Sup.inf_Sup_absorb", 
   324    "Finite_Set.min_max.below_inf_sup_Inf_Sup.sup_Inf_absorb", 
   325    "Finite_Set.min.f_below_strict_below.below_f_conv",        (*duplicates in Orderings.*)
   326    "Finite_Set.min.f_below_strict_below.strict_below_f_conv", (*duplicates in Orderings.*)
   327    "Fun.vimage_image_eq",   (*involves an existential quantifier*)
   328    "HOL.split_if_asm",     (*splitting theorem*)
   329    "HOL.split_if",         (*splitting theorem*)
   330    "IntDef.abs_split",
   331    "IntDef.Integ.Abs_Integ_inject",
   332    "IntDef.Integ.Abs_Integ_inverse",
   333    "IntDiv.zdvd_0_left",
   334    "List.append_eq_append_conv",
   335    "List.hd_Cons_tl",   (*Says everything is [] or Cons. Probably prolific.*)
   336    "List.in_listsD",
   337    "List.in_listsI",
   338    "List.lists.Cons",
   339    "List.listsE",
   340    "Nat.less_one", (*not directional? obscure*)
   341    "Nat.not_gr0",
   342    "Nat.one_eq_mult_iff", (*duplicate by symmetry*)
   343    "NatArith.of_nat_0_eq_iff",
   344    "NatArith.of_nat_eq_0_iff",
   345    "NatArith.of_nat_le_0_iff",
   346    "NatSimprocs.divide_le_0_iff_number_of",  (*too many clauses*)
   347    "NatSimprocs.divide_less_0_iff_number_of",
   348    "NatSimprocs.equation_minus_iff_1",  (*not directional*)
   349    "NatSimprocs.equation_minus_iff_number_of", (*not directional*)
   350    "NatSimprocs.le_minus_iff_1", (*not directional*)
   351    "NatSimprocs.le_minus_iff_number_of",  (*not directional*)
   352    "NatSimprocs.less_minus_iff_1", (*not directional*)
   353    "NatSimprocs.less_minus_iff_number_of", (*not directional*)
   354    "NatSimprocs.minus_equation_iff_number_of", (*not directional*)
   355    "NatSimprocs.minus_le_iff_1", (*not directional*)
   356    "NatSimprocs.minus_le_iff_number_of", (*not directional*)
   357    "NatSimprocs.minus_less_iff_1", (*not directional*)
   358    "NatSimprocs.mult_le_cancel_left_number_of", (*excessive case analysis*)
   359    "NatSimprocs.mult_le_cancel_right_number_of", (*excessive case analysis*)
   360    "NatSimprocs.mult_less_cancel_left_number_of", (*excessive case analysis*)
   361    "NatSimprocs.mult_less_cancel_right_number_of", (*excessive case analysis*)
   362    "NatSimprocs.zero_le_divide_iff_number_of", (*excessive case analysis*)
   363    "NatSimprocs.zero_less_divide_iff_number_of",
   364    "OrderedGroup.abs_0_eq", (*duplicate by symmetry*)
   365    "OrderedGroup.diff_eq_0_iff_eq", (*prolific?*)
   366    "OrderedGroup.join_0_eq_0",
   367    "OrderedGroup.meet_0_eq_0",
   368    "OrderedGroup.pprt_eq_0",   (*obscure*)
   369    "OrderedGroup.pprt_eq_id",   (*obscure*)
   370    "OrderedGroup.pprt_mono",   (*obscure*)
   371    "Orderings.split_max",      (*splitting theorem*)
   372    "Orderings.split_min",      (*splitting theorem*)
   373    "Parity.even_nat_power",   (*obscure, somewhat prolilfic*)
   374    "Parity.power_eq_0_iff_number_of",
   375    "Parity.power_le_zero_eq_number_of",   (*obscure and prolific*)
   376    "Parity.power_less_zero_eq_number_of",
   377    "Parity.zero_le_power_eq_number_of",   (*obscure and prolific*)
   378    "Parity.zero_less_power_eq_number_of",   (*obscure and prolific*)
   379    "Power.zero_less_power_abs_iff",
   380    "Product_Type.split_eta_SetCompr",   (*involves an existential quantifier*)
   381    "Product_Type.split_paired_Ball_Sigma",     (*splitting theorem*)
   382    "Product_Type.split_paired_Bex_Sigma",      (*splitting theorem*)
   383    "Product_Type.split_split_asm",             (*splitting theorem*)
   384    "Product_Type.split_split",                 (*splitting theorem*)
   385    "Product_Type.unit_abs_eta_conv",
   386    "Product_Type.unit_induct",
   387    "Relation.diagI",
   388    "Relation.Domain_def",   (*involves an existential quantifier*)
   389    "Relation.Image_def",   (*involves an existential quantifier*)
   390    "Relation.ImageI",
   391    "Ring_and_Field.divide_cancel_left", (*fields are seldom used & often prolific*)
   392    "Ring_and_Field.divide_cancel_right",
   393    "Ring_and_Field.divide_divide_eq_left",
   394    "Ring_and_Field.divide_divide_eq_right",
   395    "Ring_and_Field.divide_eq_0_iff",
   396    "Ring_and_Field.divide_eq_1_iff",
   397    "Ring_and_Field.divide_eq_eq_1",
   398    "Ring_and_Field.divide_le_0_1_iff",
   399    "Ring_and_Field.divide_le_eq_1_neg",  (*obscure and prolific*)
   400    "Ring_and_Field.divide_le_eq_1_pos",  (*obscure and prolific*)
   401    "Ring_and_Field.divide_less_0_1_iff",
   402    "Ring_and_Field.divide_less_eq_1_neg",  (*obscure and prolific*)
   403    "Ring_and_Field.divide_less_eq_1_pos",  (*obscure and prolific*)
   404    "Ring_and_Field.eq_divide_eq_1", (*duplicate by symmetry*)
   405    "Ring_and_Field.field_mult_cancel_left",
   406    "Ring_and_Field.field_mult_cancel_right",
   407    "Ring_and_Field.inverse_le_iff_le_neg",
   408    "Ring_and_Field.inverse_le_iff_le",
   409    "Ring_and_Field.inverse_less_iff_less_neg",
   410    "Ring_and_Field.inverse_less_iff_less",
   411    "Ring_and_Field.le_divide_eq_1_neg", (*obscure and prolific*)
   412    "Ring_and_Field.le_divide_eq_1_pos", (*obscure and prolific*)
   413    "Ring_and_Field.less_divide_eq_1_neg", (*obscure and prolific*)
   414    "Ring_and_Field.less_divide_eq_1_pos", (*obscure and prolific*)
   415    "Ring_and_Field.one_eq_divide_iff",  (*duplicate by symmetry*)
   416    "Set.ball_simps", "Set.bex_simps",   (*quantifier rewriting: useless*)
   417    "Set.Collect_bex_eq",   (*involves an existential quantifier*)
   418    "Set.Collect_ex_eq",   (*involves an existential quantifier*)
   419    "Set.Diff_eq_empty_iff", (*redundant with paramodulation*)
   420    "Set.Diff_insert0",
   421    "Set.disjoint_insert",
   422    "Set.empty_Union_conv",   (*redundant with paramodulation*)
   423    "Set.full_SetCompr_eq",   (*involves an existential quantifier*)
   424    "Set.image_Collect",      (*involves an existential quantifier*)
   425    "Set.image_def",          (*involves an existential quantifier*)
   426    "Set.insert_disjoint",
   427    "Set.Int_UNIV",  (*redundant with paramodulation*)
   428    "Set.Inter_iff", (*We already have InterI, InterE*)
   429    "Set.Inter_UNIV_conv",
   430    "Set.psubsetE",    (*too prolific and obscure*)
   431    "Set.psubsetI",
   432    "Set.singleton_insert_inj_eq'",
   433    "Set.singleton_insert_inj_eq",
   434    "Set.singletonD",  (*these two duplicate some "insert" lemmas*)
   435    "Set.singletonI",
   436    "Set.Un_empty", (*redundant with paramodulation*)
   437    "Set.UNION_def",   (*involves an existential quantifier*)
   438    "Set.Union_empty_conv", (*redundant with paramodulation*)
   439    "Set.Union_iff",              (*We already have UnionI, UnionE*)
   440    "SetInterval.atLeastAtMost_iff", (*obscure and prolific*)
   441    "SetInterval.atLeastLessThan_iff", (*obscure and prolific*)
   442    "SetInterval.greaterThanAtMost_iff", (*obscure and prolific*)
   443    "SetInterval.greaterThanLessThan_iff", (*obscure and prolific*)
   444    "SetInterval.ivl_subset"];  (*excessive case analysis*)
   445 
   446 
   447 (*These might be prolific but are probably OK, and min and max are basic.
   448    "Orderings.max_less_iff_conj", 
   449    "Orderings.min_less_iff_conj",
   450    "Orderings.min_max.below_inf.below_inf_conv",
   451    "Orderings.min_max.below_sup.above_sup_conv",
   452 Very prolific and somewhat obscure:
   453    "Set.InterD",
   454    "Set.UnionI",
   455 *)
   456 
   457 (*** retrieve lemmas from clasimpset and atpset, may filter them ***)
   458 
   459 (*Hashing to detect duplicate and variant clauses, e.g. from the [iff] attribute*)
   460 
   461 exception HASH_CLAUSE and HASH_STRING;
   462 
   463 (*Catches (for deletion) theorems automatically generated from other theorems*)
   464 fun insert_suffixed_names ht x = 
   465      (Polyhash.insert ht (x^"_iff1", ()); 
   466       Polyhash.insert ht (x^"_iff2", ()); 
   467       Polyhash.insert ht (x^"_dest", ())); 
   468 
   469 (*Are all characters in this string digits?*)
   470 fun all_numeric s = null (String.tokens Char.isDigit s);
   471 
   472 (*Delete a suffix of the form _\d+*)
   473 fun delete_numeric_suffix s =
   474   case rev (String.fields (fn c => c = #"_") s) of
   475       last::rest => 
   476           if all_numeric last 
   477           then [s, space_implode "_" (rev rest)]
   478           else [s]
   479     | [] => [s];
   480 
   481 fun banned_thmlist s =
   482   (Sign.base_name s) mem_string ["induct","inducts","split","splits","split_asm"];
   483 
   484 (*Reject theorems with names like "List.filter.filter_list_def" or
   485   "Accessible_Part.acc.defs", as these are definitions arising from packages.
   486   FIXME: this will also block definitions within locales*)
   487 fun is_package_def a =
   488    length (NameSpace.unpack a) > 2 andalso 
   489    String.isSuffix "_def" a  orelse  String.isSuffix "_defs" a;
   490 
   491 fun make_banned_test xs = 
   492   let val ht = Polyhash.mkTable (Polyhash.hash_string, op =)
   493                                 (6000, HASH_STRING)
   494       fun banned_aux s = 
   495             isSome (Polyhash.peek ht s) orelse banned_thmlist s orelse is_package_def s
   496       fun banned s = exists banned_aux (delete_numeric_suffix s)
   497   in  app (fn x => Polyhash.insert ht (x,())) (!blacklist);
   498       app (insert_suffixed_names ht) (!blacklist @ xs); 
   499       banned
   500   end;
   501 
   502 (** a hash function from Term.term to int, and also a hash table **)
   503 val xor_words = List.foldl Word.xorb 0w0;
   504 
   505 fun hashw_term ((Const(c,_)), w) = Polyhash.hashw_string (c,w)
   506   | hashw_term ((Free(a,_)), w) = Polyhash.hashw_string (a,w)
   507   | hashw_term ((Var(_,_)), w) = w
   508   | hashw_term ((Bound i), w) = Polyhash.hashw_int(i,w)
   509   | hashw_term ((Abs(_,_,t)), w) = hashw_term (t, w)
   510   | hashw_term ((P$Q), w) = hashw_term (Q, (hashw_term (P, w)));
   511 
   512 fun hashw_pred (P,w) = 
   513     let val (p,args) = strip_comb P
   514     in
   515 	List.foldl hashw_term w (p::args)
   516     end;
   517 
   518 fun hash_literal (Const("Not",_)$P) = Word.notb(hashw_pred(P,0w0))
   519   | hash_literal P = hashw_pred(P,0w0);
   520 
   521 
   522 fun get_literals (Const("Trueprop",_)$P) lits = get_literals P lits
   523   | get_literals (Const("op |",_)$P$Q) lits = get_literals Q (get_literals P lits)
   524   | get_literals lit lits = (lit::lits);
   525 
   526 
   527 fun hash_term t = Word.toIntX (xor_words (map hash_literal (get_literals t [])));
   528 
   529 (*Versions ONLY for "faking" a theorem name. Here we take variable names into account
   530   so that similar theorems don't collide.  FIXME: this entire business of "faking" 
   531   theorem names must end!*)
   532 fun hashw_typ (TVar ((a,i), _), w) = Polyhash.hashw_string (a, Polyhash.hashw_int(i,w))
   533   | hashw_typ (TFree (a,_), w) = Polyhash.hashw_string (a,w)
   534   | hashw_typ (Type (a, Ts), w) = Polyhash.hashw_string (a, List.foldl hashw_typ w Ts);
   535 
   536 fun full_hashw_term ((Const(c,T)), w) = Polyhash.hashw_string (c, hashw_typ(T,w))
   537   | full_hashw_term ((Free(a,_)), w) = Polyhash.hashw_string (a,w)
   538   | full_hashw_term ((Var((a,i),_)), w) = Polyhash.hashw_string (a, Polyhash.hashw_int(i,w))
   539   | full_hashw_term ((Bound i), w) = Polyhash.hashw_int(i,w)
   540   | full_hashw_term ((Abs(_,T,t)), w) = full_hashw_term (t, hashw_typ(T,w))
   541   | full_hashw_term ((P$Q), w) = full_hashw_term (Q, (full_hashw_term (P, w)));
   542 
   543 fun full_hashw_thm (th,w) = 
   544   let val {prop,hyps,...} = rep_thm th
   545   in List.foldl full_hashw_term w (prop::hyps) end
   546 
   547 fun full_hash_thm th = full_hashw_thm (th,0w0);
   548 
   549 fun equal_thm (thm1,thm2) = Term.aconv(prop_of thm1, prop_of thm2);
   550 
   551 (*Create a hash table for clauses, of the given size*)
   552 fun mk_clause_table n =
   553       Polyhash.mkTable (hash_term o prop_of, equal_thm)
   554                        (n, HASH_CLAUSE);
   555 
   556 (*Use a hash table to eliminate duplicates from xs. Argument is a list of
   557   (thm * (string * int)) tuples. The theorems are hashed into the table. *)
   558 fun make_unique xs = 
   559   let val ht = mk_clause_table 7000
   560   in
   561       app (ignore o Polyhash.peekInsert ht) xs;  
   562       Polyhash.listItems ht
   563   end;
   564 
   565 (*Remove existing axiom clauses from the conjecture clauses, as this can dramatically
   566   boost an ATP's performance (for some reason)*)
   567 fun subtract_cls c_clauses ax_clauses = 
   568   let val ht = mk_clause_table 2200
   569       fun known x = isSome (Polyhash.peek ht x)
   570   in
   571       app (ignore o Polyhash.peekInsert ht) ax_clauses;  
   572       filter (not o known) c_clauses 
   573   end;
   574 
   575 (*Filter axiom clauses, but keep supplied clauses and clauses in whitelist. 
   576   Duplicates are removed later.*)
   577 fun get_relevant_clauses thy cls_thms white_cls goals =
   578   white_cls @ (ReduceAxiomsN.relevance_filter thy cls_thms goals);
   579 
   580 (*This name is cryptic but short. Unlike gensym, we get the same name each time.*)
   581 fun fake_thm_name th = 
   582     Context.theory_name (theory_of_thm th) ^ "." ^ Word.toString (full_hash_thm th);
   583 
   584 fun put_name_pair ("",th) = (fake_thm_name th, th)
   585   | put_name_pair (a,th)  = (a,th);
   586 
   587 fun display_thms [] = ()
   588   | display_thms ((name,thm)::nthms) = 
   589       let val nthm = name ^ ": " ^ (string_of_thm thm)
   590       in Output.debug nthm; display_thms nthms  end;
   591  
   592 fun all_facts_of ctxt =
   593   FactIndex.find (ProofContext.fact_index_of ctxt) ([], [])
   594   |> maps #2 |> map (`Thm.name_of_thm);
   595 
   596 (* get lemmas from claset, simpset, atpset and extra supplied rules *)
   597 fun get_clasimp_atp_lemmas ctxt user_thms = 
   598   let val included_thms =
   599 	if !include_all 
   600 	then (tap (fn ths => Output.debug
   601 	             ("Including all " ^ Int.toString (length ths) ^ " theorems")) 
   602 	          (all_facts_of ctxt @ PureThy.all_thms_of (ProofContext.theory_of ctxt)))
   603 	else 
   604 	let val claset_thms =
   605 		if !include_claset then ResAxioms.claset_rules_of_ctxt ctxt
   606 		else []
   607 	    val simpset_thms = 
   608 		if !include_simpset then ResAxioms.simpset_rules_of_ctxt ctxt
   609 		else []
   610 	    val atpset_thms =
   611 		if !include_atpset then ResAxioms.atpset_rules_of_ctxt ctxt
   612 		else []
   613 	    val _ = if !Output.show_debug_msgs 
   614 		    then (Output.debug "ATP theorems: "; display_thms atpset_thms) 
   615 		    else ()		 
   616 	in  claset_thms @ simpset_thms @ atpset_thms  end
   617       val user_rules = map (put_name_pair o ResAxioms.pairname)
   618 			   (if null user_thms then !whitelist else user_thms)
   619   in
   620       (map put_name_pair included_thms, user_rules)
   621   end;
   622 
   623 (*Remove lemmas that are banned from the backlist. Also remove duplicates. *)
   624 fun blacklist_filter thms = 
   625   if !run_blacklist_filter then 
   626       let val banned = make_banned_test (map #1 thms)
   627 	  fun ok (a,_) = not (banned a)
   628       in  filter ok thms  end
   629   else thms;
   630 
   631 
   632 (***************************************************************)
   633 (* ATP invocation methods setup                                *)
   634 (***************************************************************)
   635 
   636 fun cnf_hyps_thms ctxt = 
   637     let val ths = Assumption.prems_of ctxt
   638     in fold (fold (insert Thm.eq_thm) o ResAxioms.skolem_thm) ths [] end;
   639 
   640 (*Translation mode can be auto-detected, or forced to be first-order or higher-order*)
   641 datatype mode = Auto | Fol | Hol;
   642 
   643 val linkup_logic_mode = ref Auto;
   644 
   645 (*Ensures that no higher-order theorems "leak out"*)
   646 fun restrict_to_logic logic cls =
   647   if is_fol_logic logic then filter (Meson.is_fol_term o prop_of o fst) cls 
   648 	                else cls;
   649 
   650 fun tptp_writer logic goals filename (axioms,classrels,arities) user_lemmas =
   651     if is_fol_logic logic 
   652     then ResClause.tptp_write_file goals filename (axioms, classrels, arities)
   653     else ResHolClause.tptp_write_file goals filename (axioms, classrels, arities) user_lemmas;
   654 
   655 fun dfg_writer logic goals filename (axioms,classrels,arities) user_lemmas =
   656     if is_fol_logic logic 
   657     then ResClause.dfg_write_file goals filename (axioms, classrels, arities)
   658     else ResHolClause.dfg_write_file goals filename (axioms, classrels, arities) user_lemmas;
   659 
   660 (*Called by the oracle-based methods declared in res_atp_methods.ML*)
   661 fun write_subgoal_file dfg mode ctxt conjectures user_thms n =
   662     let val conj_cls = make_clauses conjectures 
   663                          |> ResAxioms.assume_abstract_list |> Meson.finish_cnf
   664 	val hyp_cls = cnf_hyps_thms ctxt
   665 	val goal_cls = conj_cls@hyp_cls
   666 	val logic = case mode of 
   667                             Auto => problem_logic_goals [map prop_of goal_cls]
   668 			  | Fol => FOL
   669 			  | Hol => HOL
   670 	val (included_thms,user_rules) = get_clasimp_atp_lemmas ctxt user_thms
   671 	val cla_simp_atp_clauses = included_thms |> blacklist_filter
   672 	                             |> ResAxioms.cnf_rules_pairs |> make_unique 
   673                                      |> restrict_to_logic logic 
   674 	val user_cls = ResAxioms.cnf_rules_pairs user_rules
   675 	val thy = ProofContext.theory_of ctxt
   676 	val axclauses = get_relevant_clauses thy cla_simp_atp_clauses
   677 	                            user_cls (map prop_of goal_cls) |> make_unique
   678 	val keep_types = if is_fol_logic logic then !fol_keep_types else is_typed_hol ()
   679 	val classrel_clauses = if keep_types then ResClause.classrel_clauses_thy thy else []
   680 	val arity_clauses = if keep_types then ResClause.arity_clause_thy thy else []
   681         val writer = if dfg then dfg_writer else tptp_writer 
   682 	and file = atp_input_file()
   683 	and user_lemmas_names = map #1 user_rules
   684     in
   685 	writer logic goal_cls file (axclauses,classrel_clauses,arity_clauses) user_lemmas_names;
   686 	Output.debug ("Writing to " ^ file);
   687 	file
   688     end;
   689 
   690 
   691 (**** remove tmp files ****)
   692 fun cond_rm_tmp file = 
   693     if !keep_atp_input then Output.debug "ATP input kept..." 
   694     else if !destdir <> "" then Output.debug ("ATP input kept in directory " ^ (!destdir))
   695     else (Output.debug "deleting ATP inputs..."; OS.FileSys.remove file);
   696 
   697 
   698 (****** setup ATPs as Isabelle methods ******)
   699 fun atp_meth' tac ths ctxt = 
   700     Method.SIMPLE_METHOD' HEADGOAL
   701     (tac ctxt ths);
   702 
   703 fun atp_meth tac ths ctxt = 
   704     let val thy = ProofContext.theory_of ctxt
   705 	val _ = ResClause.init thy
   706 	val _ = ResHolClause.init thy
   707     in
   708 	atp_meth' tac ths ctxt
   709     end;
   710 
   711 fun atp_method tac = Method.thms_ctxt_args (atp_meth tac);
   712 
   713 (***************************************************************)
   714 (* automatic ATP invocation                                    *)
   715 (***************************************************************)
   716 
   717 (* call prover with settings and problem file for the current subgoal *)
   718 fun watcher_call_provers sign sg_terms (childin, childout, pid) =
   719   let
   720     fun make_atp_list [] n = []
   721       | make_atp_list (sg_term::xs) n =
   722           let
   723             val probfile = prob_pathname n
   724             val time = Int.toString (!time_limit)
   725           in
   726             Output.debug ("problem file in watcher_call_provers is " ^ probfile);
   727             (*options are separated by Watcher.setting_sep, currently #"%"*)
   728             if !prover = "spass"
   729             then
   730               let val spass = helper_path "SPASS_HOME" "SPASS"
   731                   val sopts =
   732    "-Auto%-SOS=1%-PGiven=0%-PProblem=0%-Splits=0%-FullRed=0%-DocProof%-TimeLimit=" ^ time
   733               in 
   734                   ("spass", spass, sopts, probfile) :: make_atp_list xs (n+1)
   735               end
   736             else if !prover = "vampire"
   737 	    then 
   738               let val vampire = helper_path "VAMPIRE_HOME" "vampire"
   739                   val casc = if !time_limit > 70 then "--mode casc%" else ""
   740                   val vopts = casc ^ "-m 100000%-t " ^ time
   741               in
   742                   ("vampire", vampire, vopts, probfile) :: make_atp_list xs (n+1)
   743               end
   744       	     else if !prover = "E"
   745       	     then
   746 	       let val Eprover = helper_path "E_HOME" "eproof"
   747 	       in
   748 		  ("E", Eprover, 
   749 		     "--tptp-in%-l5%-xAuto%-tAuto%--silent%--cpu-limit=" ^ time, probfile) ::
   750 		   make_atp_list xs (n+1)
   751 	       end
   752 	     else error ("Invalid prover name: " ^ !prover)
   753           end
   754 
   755     val atp_list = make_atp_list sg_terms 1
   756   in
   757     Watcher.callResProvers(childout,atp_list);
   758     Output.debug "Sent commands to watcher!"
   759   end
   760   
   761 fun trace_array fname =
   762   let val path = File.tmp_path (Path.basic fname)
   763   in  Array.app (File.append path o (fn s => s ^ "\n"))  end;
   764 
   765 (*Converting a subgoal into negated conjecture clauses*)
   766 fun neg_clauses th n =
   767   let val tacs = [rtac ccontr, ObjectLogic.atomize_tac, skolemize_tac]
   768       val st = Seq.hd (EVERY' tacs n th)
   769       val negs = Option.valOf (metahyps_thms n st)
   770   in make_clauses negs |> ResAxioms.assume_abstract_list |> Meson.finish_cnf end;
   771 		                       
   772 (*We write out problem files for each subgoal. Argument probfile generates filenames,
   773   and allows the suppression of the suffix "_1" in problem-generation mode.
   774   FIXME: does not cope with &&, and it isn't easy because one could have multiple
   775   subgoals, each involving &&.*)
   776 fun write_problem_files probfile (ctxt,th)  =
   777   let val goals = Thm.prems_of th
   778       val _ = Output.debug ("number of subgoals = " ^ Int.toString (length goals))
   779       val thy = ProofContext.theory_of ctxt
   780       fun get_neg_subgoals [] _ = []
   781         | get_neg_subgoals (gl::gls) n = neg_clauses th n :: get_neg_subgoals gls (n+1)
   782       val goal_cls = get_neg_subgoals goals 1
   783       val logic = case !linkup_logic_mode of
   784 		Auto => problem_logic_goals (map ((map prop_of)) goal_cls)
   785 	      | Fol => FOL
   786 	      | Hol => HOL
   787       val (included_thms,white_thms) = get_clasimp_atp_lemmas ctxt []
   788       val included_cls = included_thms |> blacklist_filter
   789                                        |> ResAxioms.cnf_rules_pairs |> make_unique 
   790                                        |> restrict_to_logic logic 
   791       val white_cls = ResAxioms.cnf_rules_pairs white_thms
   792       (*clauses relevant to goal gl*)
   793       val axcls_list = map (fn gl => get_relevant_clauses thy included_cls white_cls [gl])
   794                            goals
   795       val _ = Output.debug ("clauses = " ^ Int.toString(length included_cls))
   796       val keep_types = if is_fol_logic logic then !ResClause.keep_types 
   797                        else is_typed_hol ()
   798       val classrel_clauses = if keep_types then ResClause.classrel_clauses_thy thy
   799                              else []
   800       val _ = Output.debug ("classrel clauses = " ^ 
   801                             Int.toString (length classrel_clauses))
   802       val arity_clauses = if keep_types then ResClause.arity_clause_thy thy 
   803                           else []
   804       val _ = Output.debug ("arity clauses = " ^ Int.toString (length arity_clauses))
   805       val writer = if !prover = "spass" then dfg_writer else tptp_writer 
   806       fun write_all [] [] _ = []
   807 	| write_all (ccls::ccls_list) (axcls::axcls_list) k =
   808             let val fname = probfile k
   809                 val axcls = make_unique axcls
   810                 val ccls = subtract_cls ccls axcls
   811                 val clnames = writer logic ccls fname (axcls,classrel_clauses,arity_clauses) []
   812             in  (clnames,fname) :: write_all ccls_list axcls_list (k+1)  end
   813       val (clnames::_, filenames) = ListPair.unzip (write_all goal_cls axcls_list 1)
   814       val thm_names = Array.fromList clnames
   815       val _ = if !Output.show_debug_msgs 
   816               then trace_array "thm_names" thm_names else ()
   817   in
   818       (filenames, thm_names)
   819   end;
   820 
   821 val last_watcher_pid = ref (NONE : (TextIO.instream * TextIO.outstream * 
   822                                     Posix.Process.pid * string list) option);
   823 
   824 fun kill_last_watcher () =
   825     (case !last_watcher_pid of 
   826          NONE => ()
   827        | SOME (_, _, pid, files) => 
   828 	  (Output.debug ("Killing old watcher, pid = " ^ string_of_pid pid);
   829 	   Watcher.killWatcher pid;  
   830 	   ignore (map (try OS.FileSys.remove) files)))
   831      handle OS.SysErr _ => Output.debug "Attempt to kill watcher failed";
   832 
   833 (*writes out the current clasimpset to a tptp file;
   834   turns off xsymbol at start of function, restoring it at end    *)
   835 val isar_atp = setmp print_mode [] 
   836  (fn (ctxt, th) =>
   837   if Thm.no_prems th then ()
   838   else
   839     let
   840       val _ = kill_last_watcher()
   841       val (files,thm_names) = write_problem_files prob_pathname (ctxt,th)
   842       val (childin, childout, pid) = Watcher.createWatcher (th, thm_names)
   843     in
   844       last_watcher_pid := SOME (childin, childout, pid, files);
   845       Output.debug ("problem files: " ^ space_implode ", " files); 
   846       Output.debug ("pid: " ^ string_of_pid pid);
   847       watcher_call_provers (sign_of_thm th) (Thm.prems_of th) (childin, childout, pid)
   848     end);
   849 
   850 val isar_atp_writeonly = setmp print_mode [] 
   851       (fn (ctxt,th) =>
   852        if Thm.no_prems th then ()
   853        else 
   854          let val probfile = if Thm.nprems_of th = 1 then probfile_nosuffix 
   855           	            else prob_pathname
   856          in ignore (write_problem_files probfile (ctxt,th)) end);
   857 
   858 
   859 (** the Isar toplevel hook **)
   860 
   861 fun invoke_atp_ml (ctxt, goal) =
   862   let val thy = ProofContext.theory_of ctxt;
   863   in
   864     Output.debug ("subgoals in isar_atp:\n" ^ 
   865 		  Pretty.string_of (ProofContext.pretty_term ctxt
   866 		    (Logic.mk_conjunction_list (Thm.prems_of goal))));
   867     Output.debug ("current theory: " ^ Context.theory_name thy);
   868     inc hook_count;
   869     Output.debug ("in hook for time: " ^ Int.toString (!hook_count));
   870     ResClause.init thy;
   871     ResHolClause.init thy;
   872     if !destdir = "" andalso !time_limit > 0 then isar_atp (ctxt, goal)
   873     else isar_atp_writeonly (ctxt, goal)
   874   end;
   875 
   876 val invoke_atp = Toplevel.no_timing o Toplevel.unknown_proof o Toplevel.keep
   877  (fn state =>
   878   let val (ctxt, (_, goal)) = Proof.get_goal (Toplevel.proof_of state)
   879   in  invoke_atp_ml (ctxt, goal)  end);
   880 
   881 val call_atpP =
   882   OuterSyntax.command 
   883     "ProofGeneral.call_atp" 
   884     "call automatic theorem provers" 
   885     OuterKeyword.diag
   886     (Scan.succeed invoke_atp);
   887 
   888 val _ = OuterSyntax.add_parsers [call_atpP];
   889 
   890 end;