(* ID: $Id$
Author: Jia Meng, NICTA
*)
structure ResAtpSetup =
struct
val keep_atp_input = ref false;
val debug = ref true;
val fol_keep_types = ResClause.keep_types;
(* use them to set and find type levels of HOL clauses *)
val hol_full_types = ResHolClause.full_types;
val hol_partial_types = ResHolClause.partial_types;
val hol_const_types_only = ResHolClause.const_types_only;
val hol_no_types = ResHolClause.no_types;
fun hol_typ_level () = ResHolClause.find_typ_level ();
fun is_typed_hol () =
let val tp_level = hol_typ_level()
in
not (tp_level = ResHolClause.T_NONE)
end;
val include_combS = ResHolClause.include_combS;
val include_min_comb = ResHolClause.include_min_comb;
(*******************************************************)
(* set up the output paths *)
(*******************************************************)
fun full_typed_comb () =
if !ResHolClause.include_combS then
(ResAtp.helper_path "E_HOME" "additionals/full_comb_inclS"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/full_comb_inclS")
else
(ResAtp.helper_path "E_HOME" "additionals/full_comb_noS"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/full_comb_noS");
fun partial_typed_comb () =
if !ResHolClause.include_combS then
(ResAtp.helper_path "E_HOME" "additionals/par_comb_inclS"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/par_comb_inclS")
else
(ResAtp.helper_path "E_HOME" "additionals/par_comb_noS"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/par_comb_noS");
fun const_typed_comb () =
if !ResHolClause.include_combS then
(ResAtp.helper_path "E_HOME" "additionals/const_comb_inclS"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/const_comb_inclS")
else
(ResAtp.helper_path "E_HOME" "additionals/const_comb_noS"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/const_comb_noS");
fun untyped_comb () =
if !ResHolClause.include_combS then
(ResAtp.helper_path "E_HOME" "additionals/u_comb_inclS"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/u_comb_inclS")
else
(ResAtp.helper_path "E_HOME" "additionals/u_comb_noS"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/u_comb_noS");
fun full_typed_HOL_helper1 () =
ResAtp.helper_path "E_HOME" "additionals/full_helper1"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/full_helper1";
fun partial_typed_HOL_helper1 () =
ResAtp.helper_path "E_HOME" "additionals/par_helper1"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/par_helper1";
fun const_typed_HOL_helper1 () =
ResAtp.helper_path "E_HOME" "additionals/const_helper1"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/const_helper1";
fun untyped_HOL_helper1 () =
ResAtp.helper_path "E_HOME" "additionals/u_helper1"
handle _ => ResAtp.helper_path "VAMPIRE_HOME" "additionals/u_helper1";
fun HOL_helper1 () =
let val tp_level = !ResHolClause.typ_level
in
case tp_level of ResHolClause.T_PARTIAL => (warning "Partial type helper"; partial_typed_HOL_helper1 ())
| ResHolClause.T_FULL => (warning "Full type helper"; full_typed_HOL_helper1 ())
| ResHolClause.T_CONST => (warning "Const type helper"; const_typed_HOL_helper1 ())
| ResHolClause.T_NONE => (warning "Untyped helper"; untyped_HOL_helper1 ())
end;
fun HOL_comb () =
let val tp_level = !ResHolClause.typ_level
in
case tp_level of ResHolClause.T_FULL => (warning "Full type comb"; full_typed_comb ())
| ResHolClause.T_PARTIAL => (warning "Partial type comb"; partial_typed_comb ())
| ResHolClause.T_CONST => (warning "Const type comb"; const_typed_comb ())
| ResHolClause.T_NONE => (warning "Untyped comb"; untyped_comb ())
end;
fun atp_input_file file =
let val file' = !ResAtp.problem_name ^ "_" ^ file
in
if !ResAtp.destdir = "" then File.platform_path (File.tmp_path (Path.basic file'))
else if File.exists (File.unpack_platform_path (!ResAtp.destdir))
then !ResAtp.destdir ^ "/" ^ file'
else error ("No such directory: " ^ !ResAtp.destdir)
end;
fun claset_file () = atp_input_file "claset";
fun simpset_file () = atp_input_file "simp";
fun local_lemma_file () = atp_input_file "locallemmas";
fun hyps_file () = atp_input_file "hyps";
fun prob_file _ = atp_input_file "";
fun types_sorts_file () = atp_input_file "typesorts";
(*******************************************************)
(* operations on Isabelle theorems: *)
(* retrieving from ProofContext, *)
(* modifying local theorems, *)
(* CNF *)
(*******************************************************)
val include_simpset = ref false;
val include_claset = ref false;
val add_simpset = (fn () => include_simpset:=true);
val add_claset = (fn () => include_claset:=true);
val add_clasimp = (fn () => include_simpset:=true;include_claset:=true);
val rm_simpset = (fn () => include_simpset:=false);
val rm_claset = (fn () => include_claset:=false);
val rm_clasimp = (fn () => include_simpset:=false;include_claset:=false);
(******************************************************************)
(* detect whether a given problem (clauses) is FOL/HOL/HOLC/HOLCS *)
(******************************************************************)
datatype logic = FOL | HOL | HOLC | HOLCS;
fun string_of_logic FOL = "FOL"
| string_of_logic HOL = "HOL"
| string_of_logic HOLC = "HOLC"
| string_of_logic HOLCS = "HOLCS";
(*HOLCS will not occur here*)
fun upgrade_lg HOLC _ = HOLC
| upgrade_lg HOL HOLC = HOLC
| upgrade_lg HOL _ = HOL
| upgrade_lg FOL lg = lg;
(* check types *)
fun has_bool (Type("bool",_)) = true
| has_bool (Type(_, Ts)) = exists has_bool Ts
| has_bool _ = false;
fun has_bool_arg tp =
let val (targs,tr) = strip_type tp
in
exists has_bool targs
end;
fun is_fn_tp (Type("fun",_)) = true
| is_fn_tp _ = false;
exception FN_LG of term;
fun fn_lg (t as Const(f,tp)) (lg,seen) =
if has_bool tp then (upgrade_lg HOL lg, t ins seen) else (lg, t ins seen)
| fn_lg (t as Free(f,tp)) (lg,seen) =
if has_bool tp then (upgrade_lg HOL lg, t ins seen) else (lg, t ins seen)
| fn_lg (t as Var(f,tp)) (lg,seen) =
if is_fn_tp tp orelse has_bool tp then (upgrade_lg HOL lg,t ins seen)
else (lg,t ins seen)
| fn_lg (t as Abs(_,_,_)) (lg,seen) = (upgrade_lg HOLC lg,t ins seen)
| fn_lg f _ = raise FN_LG(f);
fun term_lg [] (lg,seen) = (lg,seen)
| term_lg (tm::tms) (FOL,seen) =
let val (f,args) = strip_comb tm
val (lg',seen') = if f mem seen then (FOL,seen)
else fn_lg f (FOL,seen)
in
term_lg (args@tms) (lg',seen')
end
| term_lg _ (lg,seen) = (lg,seen)
exception PRED_LG of term;
fun pred_lg (t as Const(P,tp)) (lg,seen)=
if has_bool_arg tp then (upgrade_lg HOL lg, t ins seen) else (lg,t ins seen)
| pred_lg (t as Free(P,tp)) (lg,seen) =
if has_bool_arg tp then (upgrade_lg HOL lg, t ins seen) else (lg,t ins seen)
| pred_lg (t as Var(_,_)) (lg,seen) = (upgrade_lg HOL lg, t ins seen)
| pred_lg P _ = raise PRED_LG(P);
fun lit_lg (Const("Not",_) $ P) (lg,seen) = lit_lg P (lg,seen)
| lit_lg P (lg,seen) =
let val (pred,args) = strip_comb P
val (lg',seen') = if pred mem seen then (lg,seen)
else pred_lg pred (lg,seen)
in
term_lg args (lg',seen')
end;
fun lits_lg [] (lg,seen) = (lg,seen)
| lits_lg (lit::lits) (FOL,seen) =
lits_lg lits (lit_lg lit (FOL,seen))
| lits_lg lits (lg,seen) = (lg,seen);
fun logic_of_clause tm (lg,seen) =
let val tm' = HOLogic.dest_Trueprop tm
val disjs = HOLogic.dest_disj tm'
in
lits_lg disjs (lg,seen)
end;
fun lits_lg [] (lg,seen) = (lg,seen)
| lits_lg (lit::lits) (FOL,seen) =
lits_lg lits (lit_lg lit (FOL,seen))
| lits_lg lits (lg,seen) = (lg,seen);
fun logic_of_clause tm (lg,seen) =
let val tm' = HOLogic.dest_Trueprop tm
val disjs = HOLogic.dest_disj tm'
in
lits_lg disjs (lg,seen)
end;
fun logic_of_clauses [] (lg,seen) = (lg,seen)
| logic_of_clauses (cls::clss) (FOL,seen) =
logic_of_clauses clss (logic_of_clause cls (FOL,seen))
| logic_of_clauses (cls::clss) (lg,seen) = (lg,seen);
fun logic_of_nclauses [] (lg,seen) = (lg,seen)
| logic_of_nclauses (cls::clss) (FOL,seen) =
logic_of_nclauses clss (logic_of_clauses (snd cls) (FOL,seen))
| logic_of_nclauses clss (lg,seen) = (lg,seen);
fun problem_logic (conj_cls,hyp_cls,userR,claR,simpR) =
let val (lg1,seen1) = logic_of_clauses conj_cls (FOL,[])
val (lg2,seen2) = logic_of_clauses hyp_cls (lg1,seen1)
val (lg3,seen3) = logic_of_nclauses userR (lg2,seen2)
val (lg4,seen4) = logic_of_nclauses claR (lg3,seen3)
val (lg5,seen5) = logic_of_nclauses simpR (lg4,seen4)
in
lg5
end;
(***************************************************************)
(* prover-specific output format: *)
(* TPTP *)
(***************************************************************)
(**** CNF rules and hypothesis ****)
fun cnf_rules_tms ctxt ths (include_claset,include_simpset) =
let val local_claR = if include_claset then ResAxioms.claset_rules_of_ctxt ctxt else []
val (local_claR_cls,err1) = ResAxioms.cnf_rules2 local_claR []
val local_simpR = if include_simpset then ResAxioms.simpset_rules_of_ctxt ctxt else []
val (local_simpR_cls,err2) = ResAxioms.cnf_rules2 local_simpR []
val (user_ths_cls,err3) = ResAxioms.cnf_rules2 (map ResAxioms.pairname ths) []
val errs = err3 @ err2 @ err1
in
(user_ths_cls,local_simpR_cls,local_claR_cls,errs)
end;
fun cnf_hyps_thms ctxt =
let val ths = ProofContext.prems_of ctxt
in
ResClause.union_all (map ResAxioms.skolem_thm ths)
end;
(**** clausification ****)
fun cls_axiom_fol _ _ [] = []
| cls_axiom_fol name i (tm::tms) =
case ResClause.make_axiom_clause tm (name,i) of
SOME cls => cls :: cls_axiom_fol name (i+1) tms
| NONE => cls_axiom_fol name i tms;
fun cls_axiom_hol _ _ [] = []
| cls_axiom_hol name i (tm::tms) =
(ResHolClause.make_axiom_clause tm (name,i)) :: (cls_axiom_hol name (i+1) tms);
fun filtered_tptp_axiom_fol name clss =
(fst(ListPair.unzip (map ResClause.clause2tptp (filter (fn c => not (ResClause.isTaut c)) (cls_axiom_fol name 0 clss)))),[])
handle _ => ([],[name]);
fun filtered_tptp_axiom_hol name clss =
(fst(ListPair.unzip (map ResHolClause.clause2tptp (filter (fn c => not (ResHolClause.isTaut c)) (cls_axiom_hol name 0 clss)))),[])
handle _ => ([],[name]);
fun tptp_axioms_g filt_ax_fn [] err = ([],err)
| tptp_axioms_g filt_ax_fn ((name,clss)::nclss) err =
let val (nclss1,err1) = tptp_axioms_g filt_ax_fn nclss err
val (clsstrs,err_name_list) = filt_ax_fn name clss
in
case clsstrs of [] => (nclss1,err_name_list @ err1)
| _ => (clsstrs::nclss1,err1)
end;
fun tptp_axioms_fol rules = tptp_axioms_g filtered_tptp_axiom_fol rules [];
fun tptp_axioms_hol rules = tptp_axioms_g filtered_tptp_axiom_hol rules [];
fun atp_axioms_g tptp_ax_fn rules file =
let val out = TextIO.openOut file
val (clss,errs) = tptp_ax_fn rules
val clss' = ResClause.union_all clss
in
ResClause.writeln_strs out clss';
TextIO.closeOut out;
([file],errs)
end;
fun atp_axioms_fol rules file = atp_axioms_g tptp_axioms_fol rules file;
fun atp_axioms_hol rules file = atp_axioms_g tptp_axioms_hol rules file;
fun filtered_tptp_conjectures_fol terms =
let val clss = ResClause.make_conjecture_clauses terms
val clss' = filter (fn c => not (ResClause.isTaut c)) clss
in
ListPair.unzip (map ResClause.clause2tptp clss')
end;
fun filtered_tptp_conjectures_hol terms =
let val clss = ResHolClause.make_conjecture_clauses terms
val clss' = filter (fn c => not (ResHolClause.isTaut c)) clss
in
ListPair.unzip (map ResHolClause.clause2tptp clss')
end;
fun atp_conjectures_h_g filt_conj_fn hyp_cls =
let val (tptp_h_clss,tfree_litss) = filt_conj_fn hyp_cls
val tfree_lits = ResClause.union_all tfree_litss
val tfree_clss = map ResClause.tptp_tfree_clause tfree_lits
val hypsfile = hyps_file ()
val out = TextIO.openOut(hypsfile)
in
ResClause.writeln_strs out (tfree_clss @ tptp_h_clss);
TextIO.closeOut out; warning hypsfile;
([hypsfile],tfree_lits)
end;
fun atp_conjectures_h_fol hyp_cls = atp_conjectures_h_g filtered_tptp_conjectures_fol hyp_cls;
fun atp_conjectures_h_hol hyp_cls = atp_conjectures_h_g filtered_tptp_conjectures_hol hyp_cls;
fun atp_conjectures_c_g filt_conj_fn conj_cls n tfrees =
let val (tptp_c_clss,tfree_litss) = filt_conj_fn conj_cls
val tfree_clss = map ResClause.tptp_tfree_clause ((ResClause.union_all tfree_litss) \\ tfrees)
val probfile = prob_file n
val out = TextIO.openOut(probfile)
in
ResClause.writeln_strs out (tfree_clss @ tptp_c_clss);
TextIO.closeOut out;
warning probfile;
probfile
end;
fun atp_conjectures_c_fol conj_cls n tfrees = atp_conjectures_c_g filtered_tptp_conjectures_fol conj_cls n tfrees;
fun atp_conjectures_c_hol conj_cls n tfrees = atp_conjectures_c_g filtered_tptp_conjectures_hol conj_cls n tfrees;
fun atp_conjectures_g atp_conj_h_fn atp_conj_c_fn [] conj_cls n =
let val probfile = atp_conj_c_fn conj_cls n []
in
[probfile]
end
| atp_conjectures_g atp_conj_h_fn atp_conj_c_fn hyp_cls conj_cls n =
let val (hypsfile,tfree_lits) = atp_conj_h_fn hyp_cls
val probfile = atp_conj_c_fn conj_cls n tfree_lits
in
(probfile::hypsfile)
end;
fun atp_conjectures_fol hyp_cls conj_cls n = atp_conjectures_g atp_conjectures_h_fol atp_conjectures_c_fol hyp_cls conj_cls n;
fun atp_conjectures_hol hyp_cls conj_cls n = atp_conjectures_g atp_conjectures_h_hol atp_conjectures_c_hol hyp_cls conj_cls n;
(**** types and sorts ****)
fun tptp_types_sorts thy =
let val classrel_clauses = ResClause.classrel_clauses_thy thy
val arity_clauses = ResClause.arity_clause_thy thy
val classrel_cls = map ResClause.tptp_classrelClause classrel_clauses
val arity_cls = map ResClause.tptp_arity_clause arity_clauses
fun write_ts () =
let val tsfile = types_sorts_file ()
val out = TextIO.openOut(tsfile)
in
ResClause.writeln_strs out (classrel_cls @ arity_cls);
TextIO.closeOut out;
[tsfile]
end
in
if (List.null arity_cls andalso List.null classrel_cls) then []
else
write_ts ()
end;
(******* write to files ******)
datatype mode = Auto | Fol | Hol;
fun write_out_g logic atp_ax_fn atp_conj_fn (claR,simpR,userR,hyp_cls,conj_cls,n,err) =
let val (files1,err1) = if (null claR) then ([],[]) else (atp_ax_fn claR (claset_file()))
val (files2,err2) = if (null simpR) then ([],[]) else (atp_ax_fn simpR (simpset_file ()))
val (files3,err3) = if (null userR) then ([],[]) else (atp_ax_fn userR (local_lemma_file ()))
val files4 = atp_conj_fn hyp_cls conj_cls n
val errs = err1 @ err2 @ err3 @ err
val logic' = if !include_combS then HOLCS
else
if !include_min_comb then HOLC else logic
val _ = warning ("Problems are " ^ (string_of_logic logic'))
val _ = if (null errs) then () else warning ("Can't clausify thms: " ^ (ResClause.paren_pack errs))
val helpers = case logic' of FOL => []
| HOL => [HOL_helper1 ()]
| _ => [HOL_helper1(),HOL_comb()] (*HOLC or HOLCS*)
in
(helpers,files4 @ files1 @ files2 @ files3)
end;
fun write_out_fol (claR,simpR,userR,hyp_cls,conj_cls,n,err) = write_out_g FOL atp_axioms_fol atp_conjectures_fol (claR,simpR,userR,hyp_cls,conj_cls,n,err);
fun write_out_hol (claR,simpR,userR,hyp_cls,conj_cls,n,err) = write_out_g HOL atp_axioms_hol atp_conjectures_hol (claR,simpR,userR,hyp_cls,conj_cls,n,err);
fun write_out_fol_ts ctxt (claR,simpR,userR,hyp_cls,conj_cls,n,err) =
let val ts_file = if (!fol_keep_types) then tptp_types_sorts (ProofContext.theory_of ctxt) else []
val (helpers,files) = write_out_fol (claR,simpR,userR,hyp_cls,conj_cls,n,err)
in
(helpers,files@ts_file)
end;
fun write_out_hol_ts ctxt (claR,simpR,userR,hyp_cls,conj_cls,n,err) =
let val ts_file = if (is_typed_hol()) then tptp_types_sorts (ProofContext.theory_of ctxt) else []
val (helpers,files) = write_out_hol (claR,simpR,userR,hyp_cls,conj_cls,n,err)
in
(helpers,files@ts_file)
end;
fun prep_atp_input mode ctxt conjectures user_thms n =
let val conj_cls = map prop_of (make_clauses conjectures)
val (userR,simpR,claR,errs) = cnf_rules_tms ctxt user_thms (!include_claset,!include_simpset)
val hyp_cls = map prop_of (cnf_hyps_thms ctxt)
val logic = case mode of Auto => problem_logic (conj_cls,hyp_cls,userR,claR,simpR)
| Fol => FOL
| Hol => HOL
in
case logic of FOL => write_out_fol_ts ctxt (claR,simpR,userR,hyp_cls,conj_cls,n,errs)
| _ => write_out_hol_ts ctxt (claR,simpR,userR,hyp_cls,conj_cls,n,errs)
end;
(***************************************************************)
(* setup ATPs as Isabelle methods *)
(***************************************************************)
fun atp_meth' tac ths ctxt =
Method.SIMPLE_METHOD' HEADGOAL
(tac ctxt ths);
fun atp_meth tac ths ctxt =
let val thy = ProofContext.theory_of ctxt
val _ = ResClause.init thy
val _ = ResHolClause.init thy
in
atp_meth' tac ths ctxt
end;
fun atp_method tac = Method.thms_ctxt_args (atp_meth tac);
(*************Remove tmp files********************************)
fun rm_tmp_files1 [] = ()
| rm_tmp_files1 (f::fs) =
(OS.FileSys.remove f; rm_tmp_files1 fs);
fun cond_rm_tmp files =
if !keep_atp_input then warning "ATP input kept..."
else if !ResAtp.destdir <> "" then warning ("ATP input kept in directory " ^ (!ResAtp.destdir))
else (warning "deleting ATP inputs..."; rm_tmp_files1 files);
end