author | blanchet |
Fri, 25 Jun 2010 16:15:03 +0200 | |
changeset 37574 | b8c1f4c46983 |
parent 37573 | 7f987e8582a7 |
child 37577 | 5379f41a1322 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/Sledgehammer/metis_tactics.ML |
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Author: Kong W. Susanto and Lawrence C. Paulson, CU Computer Laboratory |
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Copyright Cambridge University 2007 |
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HOL setup for the Metis prover. |
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*) |
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signature METIS_TACTICS = |
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sig |
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val trace: bool Unsynchronized.ref |
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val type_lits: bool Config.T |
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val metis_tac: Proof.context -> thm list -> int -> tactic |
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val metisF_tac: Proof.context -> thm list -> int -> tactic |
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val metisFT_tac: Proof.context -> thm list -> int -> tactic |
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val setup: theory -> theory |
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end |
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structure Metis_Tactics : METIS_TACTICS = |
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struct |
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open Clausifier |
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open Sledgehammer_Util |
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open Sledgehammer_FOL_Clause |
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open Sledgehammer_HOL_Clause |
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exception METIS of string * string |
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val trace = Unsynchronized.ref false; |
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fun trace_msg msg = if !trace then tracing (msg ()) else (); |
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val (type_lits, type_lits_setup) = Attrib.config_bool "metis_type_lits" (K true); |
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datatype mode = FO | HO | FT (* first-order, higher-order, fully-typed *) |
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(* ------------------------------------------------------------------------- *) |
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(* Useful Theorems *) |
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(* ------------------------------------------------------------------------- *) |
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val EXCLUDED_MIDDLE = @{lemma "P ==> ~ P ==> False" by (rule notE)} |
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val REFL_THM = Thm.incr_indexes 2 @{lemma "t ~= t ==> False" by simp} |
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val subst_em = @{lemma "s = t ==> P s ==> ~ P t ==> False" by simp} |
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val ssubst_em = @{lemma "s = t ==> P t ==> ~ P s ==> False" by simp} |
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(* ------------------------------------------------------------------------- *) |
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(* Useful Functions *) |
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(* ------------------------------------------------------------------------- *) |
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(* Match untyped terms. *) |
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fun untyped_aconv (Const (a, _)) (Const(b, _)) = (a = b) |
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| untyped_aconv (Free (a, _)) (Free (b, _)) = (a = b) |
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| untyped_aconv (Var ((a, _), _)) (Var ((b, _), _)) = |
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(a = b) (* The index is ignored, for some reason. *) |
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| untyped_aconv (Bound i) (Bound j) = (i = j) |
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| untyped_aconv (Abs (_, _, t)) (Abs (_, _, u)) = untyped_aconv t u |
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| untyped_aconv (t1 $ t2) (u1 $ u2) = |
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untyped_aconv t1 u1 andalso untyped_aconv t2 u2 |
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| untyped_aconv _ _ = false |
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(* Finding the relative location of an untyped term within a list of terms *) |
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fun get_index lit = |
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let val lit = Envir.eta_contract lit |
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fun get _ [] = raise Empty |
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| get n (x::xs) = if untyped_aconv lit (Envir.eta_contract (HOLogic.dest_Trueprop x)) |
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then n else get (n+1) xs |
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in get 1 end; |
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(* ------------------------------------------------------------------------- *) |
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(* HOL to FOL (Isabelle to Metis) *) |
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(* ------------------------------------------------------------------------- *) |
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fun fn_isa_to_met "equal" = "=" |
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| fn_isa_to_met x = x; |
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fun metis_lit b c args = (b, (c, args)); |
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fun hol_type_to_fol (TyVar (x, _)) = Metis.Term.Var x |
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| hol_type_to_fol (TyFree (s, _)) = Metis.Term.Fn (s, []) |
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| hol_type_to_fol (TyConstr ((s, _), tps)) = |
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Metis.Term.Fn (s, map hol_type_to_fol tps); |
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(*These two functions insert type literals before the real literals. That is the |
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opposite order from TPTP linkup, but maybe OK.*) |
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fun hol_term_to_fol_FO tm = |
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case strip_combterm_comb tm of |
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(CombConst ((c, _), _, tys), tms) => |
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let val tyargs = map hol_type_to_fol tys |
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val args = map hol_term_to_fol_FO tms |
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in Metis.Term.Fn (c, tyargs @ args) end |
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| (CombVar ((v, _), _), []) => Metis.Term.Var v |
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| _ => raise Fail "hol_term_to_fol_FO"; |
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fun hol_term_to_fol_HO (CombVar ((s, _), _)) = Metis.Term.Var s |
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| hol_term_to_fol_HO (CombConst ((a, _), _, tylist)) = |
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Metis.Term.Fn (fn_isa_to_met a, map hol_type_to_fol tylist) |
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| hol_term_to_fol_HO (CombApp (tm1, tm2)) = |
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Metis.Term.Fn (".", map hol_term_to_fol_HO [tm1, tm2]); |
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(*The fully-typed translation, to avoid type errors*) |
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fun wrap_type (tm, ty) = Metis.Term.Fn("ti", [tm, hol_type_to_fol ty]); |
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fun hol_term_to_fol_FT (CombVar ((s, _), ty)) = wrap_type (Metis.Term.Var s, ty) |
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| hol_term_to_fol_FT (CombConst((a, _), ty, _)) = |
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wrap_type (Metis.Term.Fn(fn_isa_to_met a, []), ty) |
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| hol_term_to_fol_FT (tm as CombApp(tm1,tm2)) = |
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wrap_type (Metis.Term.Fn(".", map hol_term_to_fol_FT [tm1,tm2]), |
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type_of_combterm tm); |
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fun hol_literal_to_fol FO (Literal (pol, tm)) = |
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let val (CombConst((p, _), _, tys), tms) = strip_combterm_comb tm |
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val tylits = if p = "equal" then [] else map hol_type_to_fol tys |
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val lits = map hol_term_to_fol_FO tms |
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in metis_lit pol (fn_isa_to_met p) (tylits @ lits) end |
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| hol_literal_to_fol HO (Literal (pol, tm)) = |
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(case strip_combterm_comb tm of |
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(CombConst(("equal", _), _, _), tms) => |
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metis_lit pol "=" (map hol_term_to_fol_HO tms) |
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| _ => metis_lit pol "{}" [hol_term_to_fol_HO tm]) (*hBOOL*) |
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| hol_literal_to_fol FT (Literal (pol, tm)) = |
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(case strip_combterm_comb tm of |
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(CombConst(("equal", _), _, _), tms) => |
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metis_lit pol "=" (map hol_term_to_fol_FT tms) |
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| _ => metis_lit pol "{}" [hol_term_to_fol_FT tm]) (*hBOOL*); |
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fun literals_of_hol_term thy mode t = |
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let val (lits, types_sorts) = literals_of_term thy t |
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in (map (hol_literal_to_fol mode) lits, types_sorts) end; |
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(*Sign should be "true" for conjecture type constraints, "false" for type lits in clauses.*) |
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fun metis_of_type_literals pos (TyLitVar (s, (s', _))) = |
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metis_lit pos s [Metis.Term.Var s'] |
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| metis_of_type_literals pos (TyLitFree (s, (s', _))) = |
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metis_lit pos s [Metis.Term.Fn (s',[])] |
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fun default_sort _ (TVar _) = false |
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| default_sort ctxt (TFree (x, s)) = (s = the_default [] (Variable.def_sort ctxt (x, ~1))); |
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fun metis_of_tfree tf = |
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Metis.Thm.axiom (Metis.LiteralSet.singleton (metis_of_type_literals true tf)); |
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fun hol_thm_to_fol is_conjecture ctxt mode j skolem_somes th = |
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let |
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val thy = ProofContext.theory_of ctxt |
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val (skolem_somes, (mlits, types_sorts)) = |
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th |> prop_of |> conceal_skolem_somes j skolem_somes |
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||> (HOLogic.dest_Trueprop #> literals_of_hol_term thy mode) |
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in |
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if is_conjecture then |
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(Metis.Thm.axiom (Metis.LiteralSet.fromList mlits), |
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type_literals_for_types types_sorts, skolem_somes) |
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else |
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let val tylits = filter_out (default_sort ctxt) types_sorts |
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|> type_literals_for_types |
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val mtylits = if Config.get ctxt type_lits |
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then map (metis_of_type_literals false) tylits else [] |
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in |
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(Metis.Thm.axiom (Metis.LiteralSet.fromList(mtylits @ mlits)), [], |
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skolem_somes) |
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end |
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end; |
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(* ARITY CLAUSE *) |
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fun m_arity_cls (TConsLit (c,t,args)) = |
164 |
metis_lit true (make_type_class c) [Metis.Term.Fn(t, map Metis.Term.Var args)] |
|
165 |
| m_arity_cls (TVarLit (c,str)) = |
|
166 |
metis_lit false (make_type_class c) [Metis.Term.Var str]; |
|
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(*TrueI is returned as the Isabelle counterpart because there isn't any.*) |
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fun arity_cls (ArityClause {conclLit, premLits, ...}) = |
32956 | 170 |
(TrueI, |
171 |
Metis.Thm.axiom (Metis.LiteralSet.fromList (map m_arity_cls (conclLit :: premLits)))); |
|
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|
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(* CLASSREL CLAUSE *) |
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fun m_classrel_cls subclass superclass = |
176 |
[metis_lit false subclass [Metis.Term.Var "T"], metis_lit true superclass [Metis.Term.Var "T"]]; |
|
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|
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fun classrel_cls (ClassrelClause {subclass, superclass, ...}) = |
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(TrueI, Metis.Thm.axiom (Metis.LiteralSet.fromList (m_classrel_cls subclass superclass))); |
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(* ------------------------------------------------------------------------- *) |
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(* FOL to HOL (Metis to Isabelle) *) |
|
183 |
(* ------------------------------------------------------------------------- *) |
|
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|
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datatype term_or_type = Term of Term.term | Type of Term.typ; |
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|
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fun terms_of [] = [] |
188 |
| terms_of (Term t :: tts) = t :: terms_of tts |
|
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| terms_of (Type _ :: tts) = terms_of tts; |
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|
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fun types_of [] = [] |
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| types_of (Term (Term.Var ((a,idx), _)) :: tts) = |
32956 | 193 |
if String.isPrefix "_" a then |
194 |
(*Variable generated by Metis, which might have been a type variable.*) |
|
32994 | 195 |
TVar (("'" ^ a, idx), HOLogic.typeS) :: types_of tts |
32956 | 196 |
else types_of tts |
197 |
| types_of (Term _ :: tts) = types_of tts |
|
198 |
| types_of (Type T :: tts) = T :: types_of tts; |
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fun apply_list rator nargs rands = |
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let val trands = terms_of rands |
|
202 |
in if length trands = nargs then Term (list_comb(rator, trands)) |
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else raise Fail |
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("apply_list: wrong number of arguments: " ^ Syntax.string_of_term_global Pure.thy rator ^ |
205 |
" expected " ^ Int.toString nargs ^ |
|
206 |
" received " ^ commas (map (Syntax.string_of_term_global Pure.thy) trands)) |
|
207 |
end; |
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fun infer_types ctxt = |
210 |
Syntax.check_terms (ProofContext.set_mode ProofContext.mode_pattern ctxt); |
|
25713 | 211 |
|
32956 | 212 |
(*We use 1 rather than 0 because variable references in clauses may otherwise conflict |
213 |
with variable constraints in the goal...at least, type inference often fails otherwise. |
|
214 |
SEE ALSO axiom_inf below.*) |
|
215 |
fun mk_var (w,T) = Term.Var((w,1), T); |
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(*include the default sort, if available*) |
218 |
fun mk_tfree ctxt w = |
|
219 |
let val ww = "'" ^ w |
|
33035 | 220 |
in TFree(ww, the_default HOLogic.typeS (Variable.def_sort ctxt (ww, ~1))) end; |
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(*Remove the "apply" operator from an HO term*) |
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fun strip_happ args (Metis.Term.Fn(".",[t,u])) = strip_happ (u::args) t |
|
224 |
| strip_happ args x = (x, args); |
|
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|
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fun make_tvar s = TVar (("'" ^ s, 0), HOLogic.typeS) |
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227 |
|
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fun fol_type_to_isa _ (Metis.Term.Var v) = |
35865 | 229 |
(case strip_prefix tvar_prefix v of |
230 |
SOME w => make_tvar w |
|
231 |
| NONE => make_tvar v) |
|
32956 | 232 |
| fol_type_to_isa ctxt (Metis.Term.Fn(x, tys)) = |
35865 | 233 |
(case strip_prefix tconst_prefix x of |
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SOME tc => Term.Type (invert_const tc, map (fol_type_to_isa ctxt) tys) |
32956 | 235 |
| NONE => |
35865 | 236 |
case strip_prefix tfree_prefix x of |
32956 | 237 |
SOME tf => mk_tfree ctxt tf |
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| NONE => raise Fail ("fol_type_to_isa: " ^ x)); |
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|
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fun reveal_skolem_somes skolem_somes = |
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map_aterms (fn t as Const (s, _) => |
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if String.isPrefix skolem_theory_name s then |
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AList.lookup (op =) skolem_somes s |
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|> the |> map_types Type_Infer.paramify_vars |
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else |
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t |
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| t => t) |
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|
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(*Maps metis terms to isabelle terms*) |
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fun hol_term_from_fol_PT ctxt fol_tm = |
32956 | 251 |
let val thy = ProofContext.theory_of ctxt |
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val _ = trace_msg (fn () => "hol_term_from_fol_PT: " ^ |
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Metis.Term.toString fol_tm) |
32956 | 254 |
fun tm_to_tt (Metis.Term.Var v) = |
35865 | 255 |
(case strip_prefix tvar_prefix v of |
256 |
SOME w => Type (make_tvar w) |
|
32956 | 257 |
| NONE => |
35865 | 258 |
case strip_prefix schematic_var_prefix v of |
32956 | 259 |
SOME w => Term (mk_var (w, HOLogic.typeT)) |
260 |
| NONE => Term (mk_var (v, HOLogic.typeT)) ) |
|
261 |
(*Var from Metis with a name like _nnn; possibly a type variable*) |
|
262 |
| tm_to_tt (Metis.Term.Fn ("{}", [arg])) = tm_to_tt arg (*hBOOL*) |
|
263 |
| tm_to_tt (t as Metis.Term.Fn (".",_)) = |
|
264 |
let val (rator,rands) = strip_happ [] t |
|
265 |
in case rator of |
|
266 |
Metis.Term.Fn(fname,ts) => applic_to_tt (fname, ts @ rands) |
|
267 |
| _ => case tm_to_tt rator of |
|
268 |
Term t => Term (list_comb(t, terms_of (map tm_to_tt rands))) |
|
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| _ => raise Fail "tm_to_tt: HO application" |
32956 | 270 |
end |
271 |
| tm_to_tt (Metis.Term.Fn (fname, args)) = applic_to_tt (fname,args) |
|
272 |
and applic_to_tt ("=",ts) = |
|
35865 | 273 |
Term (list_comb(Const (@{const_name "op ="}, HOLogic.typeT), terms_of (map tm_to_tt ts))) |
32956 | 274 |
| applic_to_tt (a,ts) = |
35865 | 275 |
case strip_prefix const_prefix a of |
32956 | 276 |
SOME b => |
35865 | 277 |
let val c = invert_const b |
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val ntypes = num_type_args thy c |
32956 | 279 |
val nterms = length ts - ntypes |
280 |
val tts = map tm_to_tt ts |
|
281 |
val tys = types_of (List.take(tts,ntypes)) |
|
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in if length tys = ntypes then |
32956 | 283 |
apply_list (Const (c, dummyT)) nterms (List.drop(tts,ntypes)) |
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284 |
else |
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raise Fail ("Constant " ^ c ^ " expects " ^ Int.toString ntypes ^ |
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" but gets " ^ Int.toString (length tys) ^ |
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" type arguments\n" ^ |
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288 |
cat_lines (map (Syntax.string_of_typ ctxt) tys) ^ |
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" the terms are \n" ^ |
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|
290 |
cat_lines (map (Syntax.string_of_term ctxt) (terms_of tts))) |
32956 | 291 |
end |
292 |
| NONE => (*Not a constant. Is it a type constructor?*) |
|
35865 | 293 |
case strip_prefix tconst_prefix a of |
33227 | 294 |
SOME b => |
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Type (Term.Type (invert_const b, types_of (map tm_to_tt ts))) |
32956 | 296 |
| NONE => (*Maybe a TFree. Should then check that ts=[].*) |
35865 | 297 |
case strip_prefix tfree_prefix a of |
32956 | 298 |
SOME b => Type (mk_tfree ctxt b) |
299 |
| NONE => (*a fixed variable? They are Skolem functions.*) |
|
35865 | 300 |
case strip_prefix fixed_var_prefix a of |
32956 | 301 |
SOME b => |
302 |
let val opr = Term.Free(b, HOLogic.typeT) |
|
303 |
in apply_list opr (length ts) (map tm_to_tt ts) end |
|
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304 |
| NONE => raise Fail ("unexpected metis function: " ^ a) |
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305 |
in |
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306 |
case tm_to_tt fol_tm of |
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Term t => t |
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308 |
| _ => raise Fail "fol_tm_to_tt: Term expected" |
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309 |
end |
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|
32956 | 311 |
(*Maps fully-typed metis terms to isabelle terms*) |
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312 |
fun hol_term_from_fol_FT ctxt fol_tm = |
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let val _ = trace_msg (fn () => "hol_term_from_fol_FT: " ^ |
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314 |
Metis.Term.toString fol_tm) |
32994 | 315 |
fun cvt (Metis.Term.Fn ("ti", [Metis.Term.Var v, _])) = |
35865 | 316 |
(case strip_prefix schematic_var_prefix v of |
32956 | 317 |
SOME w => mk_var(w, dummyT) |
318 |
| NONE => mk_var(v, dummyT)) |
|
32994 | 319 |
| cvt (Metis.Term.Fn ("ti", [Metis.Term.Fn ("=",[]), _])) = |
32956 | 320 |
Const ("op =", HOLogic.typeT) |
321 |
| cvt (Metis.Term.Fn ("ti", [Metis.Term.Fn (x,[]), ty])) = |
|
35865 | 322 |
(case strip_prefix const_prefix x of |
323 |
SOME c => Const (invert_const c, dummyT) |
|
32956 | 324 |
| NONE => (*Not a constant. Is it a fixed variable??*) |
35865 | 325 |
case strip_prefix fixed_var_prefix x of |
32956 | 326 |
SOME v => Free (v, fol_type_to_isa ctxt ty) |
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327 |
| NONE => raise Fail ("hol_term_from_fol_FT bad constant: " ^ x)) |
32956 | 328 |
| cvt (Metis.Term.Fn ("ti", [Metis.Term.Fn (".",[tm1,tm2]), _])) = |
329 |
cvt tm1 $ cvt tm2 |
|
330 |
| cvt (Metis.Term.Fn (".",[tm1,tm2])) = (*untyped application*) |
|
331 |
cvt tm1 $ cvt tm2 |
|
332 |
| cvt (Metis.Term.Fn ("{}", [arg])) = cvt arg (*hBOOL*) |
|
333 |
| cvt (Metis.Term.Fn ("=", [tm1,tm2])) = |
|
35865 | 334 |
list_comb(Const (@{const_name "op ="}, HOLogic.typeT), map cvt [tm1,tm2]) |
32956 | 335 |
| cvt (t as Metis.Term.Fn (x, [])) = |
35865 | 336 |
(case strip_prefix const_prefix x of |
337 |
SOME c => Const (invert_const c, dummyT) |
|
32956 | 338 |
| NONE => (*Not a constant. Is it a fixed variable??*) |
35865 | 339 |
case strip_prefix fixed_var_prefix x of |
32956 | 340 |
SOME v => Free (v, dummyT) |
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341 |
| NONE => (trace_msg (fn () => "hol_term_from_fol_FT bad const: " ^ x); |
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|
342 |
hol_term_from_fol_PT ctxt t)) |
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343 |
| cvt t = (trace_msg (fn () => "hol_term_from_fol_FT bad term: " ^ Metis.Term.toString t); |
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344 |
hol_term_from_fol_PT ctxt t) |
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345 |
in fol_tm |> cvt end |
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My umpteenth attempt to commit the method metisFT, a fully-typed version of metis
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346 |
|
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347 |
fun hol_term_from_fol FT = hol_term_from_fol_FT |
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| hol_term_from_fol _ = hol_term_from_fol_PT |
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My umpteenth attempt to commit the method metisFT, a fully-typed version of metis
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349 |
|
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|
350 |
fun hol_terms_from_fol ctxt mode skolem_somes fol_tms = |
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351 |
let val ts = map (hol_term_from_fol mode ctxt) fol_tms |
32956 | 352 |
val _ = trace_msg (fn () => " calling type inference:") |
353 |
val _ = app (fn t => trace_msg (fn () => Syntax.string_of_term ctxt t)) ts |
|
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|
354 |
val ts' = ts |> map (reveal_skolem_somes skolem_somes) |> infer_types ctxt |
32956 | 355 |
val _ = app (fn t => trace_msg |
356 |
(fn () => " final term: " ^ Syntax.string_of_term ctxt t ^ |
|
357 |
" of type " ^ Syntax.string_of_typ ctxt (type_of t))) |
|
358 |
ts' |
|
359 |
in ts' end; |
|
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|
360 |
|
35865 | 361 |
fun mk_not (Const (@{const_name Not}, _) $ b) = b |
32956 | 362 |
| mk_not b = HOLogic.mk_not b; |
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The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
363 |
|
32956 | 364 |
val metis_eq = Metis.Term.Fn ("=", []); |
32532
a0a54a51b15b
My umpteenth attempt to commit the method metisFT, a fully-typed version of metis
paulson
parents:
32530
diff
changeset
|
365 |
|
32956 | 366 |
(* ------------------------------------------------------------------------- *) |
367 |
(* FOL step Inference Rules *) |
|
368 |
(* ------------------------------------------------------------------------- *) |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
369 |
|
32956 | 370 |
(*for debugging only*) |
371 |
fun print_thpair (fth,th) = |
|
372 |
(trace_msg (fn () => "============================================="); |
|
373 |
trace_msg (fn () => "Metis: " ^ Metis.Thm.toString fth); |
|
374 |
trace_msg (fn () => "Isabelle: " ^ Display.string_of_thm_without_context th)); |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
375 |
|
32956 | 376 |
fun lookth thpairs (fth : Metis.Thm.thm) = |
33035 | 377 |
the (AList.lookup (uncurry Metis.Thm.equal) thpairs fth) |
37402
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
378 |
handle Option => |
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
379 |
raise Fail ("Failed to find a Metis theorem " ^ Metis.Thm.toString fth); |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
380 |
|
32956 | 381 |
fun is_TrueI th = Thm.eq_thm(TrueI,th); |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
382 |
|
32956 | 383 |
fun cterm_incr_types thy idx = cterm_of thy o (map_types (Logic.incr_tvar idx)); |
24974 | 384 |
|
32956 | 385 |
fun inst_excluded_middle thy i_atm = |
386 |
let val th = EXCLUDED_MIDDLE |
|
387 |
val [vx] = Term.add_vars (prop_of th) [] |
|
388 |
val substs = [(cterm_of thy (Var vx), cterm_of thy i_atm)] |
|
389 |
in cterm_instantiate substs th end; |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
390 |
|
32956 | 391 |
(* INFERENCE RULE: AXIOM *) |
36945 | 392 |
fun axiom_inf thpairs th = Thm.incr_indexes 1 (lookth thpairs th); |
32956 | 393 |
(*This causes variables to have an index of 1 by default. SEE ALSO mk_var above.*) |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
394 |
|
32956 | 395 |
(* INFERENCE RULE: ASSUME *) |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
396 |
fun assume_inf ctxt mode skolem_somes atm = |
32956 | 397 |
inst_excluded_middle |
398 |
(ProofContext.theory_of ctxt) |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
399 |
(singleton (hol_terms_from_fol ctxt mode skolem_somes) (Metis.Term.Fn atm)) |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
400 |
|
32956 | 401 |
(* INFERENCE RULE: INSTANTIATE (Subst). Type instantiations are ignored. Trying to reconstruct |
402 |
them admits new possibilities of errors, e.g. concerning sorts. Instead we try to arrange |
|
403 |
that new TVars are distinct and that types can be inferred from terms.*) |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
404 |
fun inst_inf ctxt mode skolem_somes thpairs fsubst th = |
32956 | 405 |
let val thy = ProofContext.theory_of ctxt |
406 |
val i_th = lookth thpairs th |
|
407 |
val i_th_vars = Term.add_vars (prop_of i_th) [] |
|
33035 | 408 |
fun find_var x = the (List.find (fn ((a,_),_) => a=x) i_th_vars) |
32956 | 409 |
fun subst_translation (x,y) = |
410 |
let val v = find_var x |
|
37410
2bf7e6136047
adjusted the polymorphism handling of Skolem constants so that proof reconstruction doesn't fail in "equality_inf"
blanchet
parents:
37402
diff
changeset
|
411 |
(* We call "reveal_skolem_somes" and "infer_types" below. *) |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
412 |
val t = hol_term_from_fol mode ctxt y |
32956 | 413 |
in SOME (cterm_of thy (Var v), t) end |
414 |
handle Option => |
|
415 |
(trace_msg (fn() => "List.find failed for the variable " ^ x ^ |
|
416 |
" in " ^ Display.string_of_thm ctxt i_th); |
|
417 |
NONE) |
|
418 |
fun remove_typeinst (a, t) = |
|
35865 | 419 |
case strip_prefix schematic_var_prefix a of |
32956 | 420 |
SOME b => SOME (b, t) |
35865 | 421 |
| NONE => case strip_prefix tvar_prefix a of |
32956 | 422 |
SOME _ => NONE (*type instantiations are forbidden!*) |
423 |
| NONE => SOME (a,t) (*internal Metis var?*) |
|
424 |
val _ = trace_msg (fn () => " isa th: " ^ Display.string_of_thm ctxt i_th) |
|
425 |
val substs = map_filter remove_typeinst (Metis.Subst.toList fsubst) |
|
426 |
val (vars,rawtms) = ListPair.unzip (map_filter subst_translation substs) |
|
37410
2bf7e6136047
adjusted the polymorphism handling of Skolem constants so that proof reconstruction doesn't fail in "equality_inf"
blanchet
parents:
37402
diff
changeset
|
427 |
val tms = rawtms |> map (reveal_skolem_somes skolem_somes) |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
428 |
|> infer_types ctxt |
32956 | 429 |
val ctm_of = cterm_incr_types thy (1 + Thm.maxidx_of i_th) |
430 |
val substs' = ListPair.zip (vars, map ctm_of tms) |
|
431 |
val _ = trace_msg (fn () => |
|
432 |
cat_lines ("subst_translations:" :: |
|
433 |
(substs' |> map (fn (x, y) => |
|
434 |
Syntax.string_of_term ctxt (term_of x) ^ " |-> " ^ |
|
435 |
Syntax.string_of_term ctxt (term_of y))))); |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
436 |
in cterm_instantiate substs' i_th end |
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
437 |
handle THM (msg, _, _) => raise METIS ("inst_inf", msg) |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
438 |
| ERROR msg => raise METIS ("inst_inf", msg) |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
439 |
|
32956 | 440 |
(* INFERENCE RULE: RESOLVE *) |
25713 | 441 |
|
32956 | 442 |
(*Like RSN, but we rename apart only the type variables. Vars here typically have an index |
443 |
of 1, and the use of RSN would increase this typically to 3. Instantiations of those Vars |
|
444 |
could then fail. See comment on mk_var.*) |
|
445 |
fun resolve_inc_tyvars(tha,i,thb) = |
|
37548
6a7a9261b9ad
make sure "metisFT" is tried upon "metis" failure in "resolve_inc_tyvars"
blanchet
parents:
37538
diff
changeset
|
446 |
let |
6a7a9261b9ad
make sure "metisFT" is tried upon "metis" failure in "resolve_inc_tyvars"
blanchet
parents:
37538
diff
changeset
|
447 |
val tha = Drule.incr_type_indexes (1 + Thm.maxidx_of thb) tha |
32956 | 448 |
val ths = Seq.list_of (Thm.bicompose false (false,tha,nprems_of tha) i thb) |
449 |
in |
|
450 |
case distinct Thm.eq_thm ths of |
|
451 |
[th] => th |
|
452 |
| _ => raise THM ("resolve_inc_tyvars: unique result expected", i, [tha,thb]) |
|
37548
6a7a9261b9ad
make sure "metisFT" is tried upon "metis" failure in "resolve_inc_tyvars"
blanchet
parents:
37538
diff
changeset
|
453 |
end |
6a7a9261b9ad
make sure "metisFT" is tried upon "metis" failure in "resolve_inc_tyvars"
blanchet
parents:
37538
diff
changeset
|
454 |
handle TERM (msg, _) => raise METIS ("resolve_inc_tyvars", msg) |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
455 |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
456 |
fun resolve_inf ctxt mode skolem_somes thpairs atm th1 th2 = |
32956 | 457 |
let |
458 |
val i_th1 = lookth thpairs th1 and i_th2 = lookth thpairs th2 |
|
459 |
val _ = trace_msg (fn () => " isa th1 (pos): " ^ Display.string_of_thm ctxt i_th1) |
|
460 |
val _ = trace_msg (fn () => " isa th2 (neg): " ^ Display.string_of_thm ctxt i_th2) |
|
461 |
in |
|
462 |
if is_TrueI i_th1 then i_th2 (*Trivial cases where one operand is type info*) |
|
463 |
else if is_TrueI i_th2 then i_th1 |
|
464 |
else |
|
465 |
let |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
466 |
val i_atm = singleton (hol_terms_from_fol ctxt mode skolem_somes) |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
467 |
(Metis.Term.Fn atm) |
32956 | 468 |
val _ = trace_msg (fn () => " atom: " ^ Syntax.string_of_term ctxt i_atm) |
469 |
val prems_th1 = prems_of i_th1 |
|
470 |
val prems_th2 = prems_of i_th2 |
|
471 |
val index_th1 = get_index (mk_not i_atm) prems_th1 |
|
37402
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
472 |
handle Empty => raise Fail "Failed to find literal in th1" |
32956 | 473 |
val _ = trace_msg (fn () => " index_th1: " ^ Int.toString index_th1) |
474 |
val index_th2 = get_index i_atm prems_th2 |
|
37402
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
475 |
handle Empty => raise Fail "Failed to find literal in th2" |
32956 | 476 |
val _ = trace_msg (fn () => " index_th2: " ^ Int.toString index_th2) |
477 |
in resolve_inc_tyvars (Meson.select_literal index_th1 i_th1, index_th2, i_th2) end |
|
478 |
end; |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
479 |
|
32956 | 480 |
(* INFERENCE RULE: REFL *) |
481 |
val refl_x = cterm_of @{theory} (Var (hd (Term.add_vars (prop_of REFL_THM) []))); |
|
482 |
val refl_idx = 1 + Thm.maxidx_of REFL_THM; |
|
25713 | 483 |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
484 |
fun refl_inf ctxt mode skolem_somes t = |
32956 | 485 |
let val thy = ProofContext.theory_of ctxt |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
486 |
val i_t = singleton (hol_terms_from_fol ctxt mode skolem_somes) t |
32956 | 487 |
val _ = trace_msg (fn () => " term: " ^ Syntax.string_of_term ctxt i_t) |
488 |
val c_t = cterm_incr_types thy refl_idx i_t |
|
489 |
in cterm_instantiate [(refl_x, c_t)] REFL_THM end; |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
490 |
|
35865 | 491 |
fun get_ty_arg_size _ (Const (@{const_name "op ="}, _)) = 0 (*equality has no type arguments*) |
36909
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36556
diff
changeset
|
492 |
| get_ty_arg_size thy (Const (c, _)) = (num_type_args thy c handle TYPE _ => 0) |
32994 | 493 |
| get_ty_arg_size _ _ = 0; |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
494 |
|
32956 | 495 |
(* INFERENCE RULE: EQUALITY *) |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
496 |
fun equality_inf ctxt mode skolem_somes (pos, atm) fp fr = |
32956 | 497 |
let val thy = ProofContext.theory_of ctxt |
498 |
val m_tm = Metis.Term.Fn atm |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
499 |
val [i_atm,i_tm] = hol_terms_from_fol ctxt mode skolem_somes [m_tm, fr] |
32956 | 500 |
val _ = trace_msg (fn () => "sign of the literal: " ^ Bool.toString pos) |
32994 | 501 |
fun replace_item_list lx 0 (_::ls) = lx::ls |
32956 | 502 |
| replace_item_list lx i (l::ls) = l :: replace_item_list lx (i-1) ls |
503 |
fun path_finder_FO tm [] = (tm, Term.Bound 0) |
|
504 |
| path_finder_FO tm (p::ps) = |
|
35865 | 505 |
let val (tm1,args) = strip_comb tm |
32956 | 506 |
val adjustment = get_ty_arg_size thy tm1 |
507 |
val p' = if adjustment > p then p else p-adjustment |
|
508 |
val tm_p = List.nth(args,p') |
|
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
509 |
handle Subscript => raise METIS ("equality_inf", Int.toString p ^ " adj " ^ |
32956 | 510 |
Int.toString adjustment ^ " term " ^ Syntax.string_of_term ctxt tm) |
511 |
val _ = trace_msg (fn () => "path_finder: " ^ Int.toString p ^ |
|
512 |
" " ^ Syntax.string_of_term ctxt tm_p) |
|
513 |
val (r,t) = path_finder_FO tm_p ps |
|
514 |
in |
|
515 |
(r, list_comb (tm1, replace_item_list t p' args)) |
|
516 |
end |
|
517 |
fun path_finder_HO tm [] = (tm, Term.Bound 0) |
|
518 |
| path_finder_HO (t$u) (0::ps) = (fn(x,y) => (x, y$u)) (path_finder_HO t ps) |
|
32994 | 519 |
| path_finder_HO (t$u) (_::ps) = (fn(x,y) => (x, t$y)) (path_finder_HO u ps) |
37402
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
520 |
| path_finder_HO tm ps = |
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
521 |
raise Fail ("equality_inf, path_finder_HO: path = " ^ |
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
522 |
space_implode " " (map Int.toString ps) ^ |
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
523 |
" isa-term: " ^ Syntax.string_of_term ctxt tm) |
32956 | 524 |
fun path_finder_FT tm [] _ = (tm, Term.Bound 0) |
32994 | 525 |
| path_finder_FT tm (0::ps) (Metis.Term.Fn ("ti", [t1, _])) = |
32956 | 526 |
path_finder_FT tm ps t1 |
32994 | 527 |
| path_finder_FT (t$u) (0::ps) (Metis.Term.Fn (".", [t1, _])) = |
32956 | 528 |
(fn(x,y) => (x, y$u)) (path_finder_FT t ps t1) |
32994 | 529 |
| path_finder_FT (t$u) (1::ps) (Metis.Term.Fn (".", [_, t2])) = |
32956 | 530 |
(fn(x,y) => (x, t$y)) (path_finder_FT u ps t2) |
37402
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
531 |
| path_finder_FT tm ps t = |
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
532 |
raise Fail ("equality_inf, path_finder_FT: path = " ^ |
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
533 |
space_implode " " (map Int.toString ps) ^ |
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
534 |
" isa-term: " ^ Syntax.string_of_term ctxt tm ^ |
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
535 |
" fol-term: " ^ Metis.Term.toString t) |
32956 | 536 |
fun path_finder FO tm ps _ = path_finder_FO tm ps |
35865 | 537 |
| path_finder HO (tm as Const(@{const_name "op ="},_) $ _ $ _) (p::ps) _ = |
32956 | 538 |
(*equality: not curried, as other predicates are*) |
539 |
if p=0 then path_finder_HO tm (0::1::ps) (*select first operand*) |
|
540 |
else path_finder_HO tm (p::ps) (*1 selects second operand*) |
|
32994 | 541 |
| path_finder HO tm (_ :: ps) (Metis.Term.Fn ("{}", [_])) = |
32956 | 542 |
path_finder_HO tm ps (*if not equality, ignore head to skip hBOOL*) |
35865 | 543 |
| path_finder FT (tm as Const(@{const_name "op ="}, _) $ _ $ _) (p::ps) |
32956 | 544 |
(Metis.Term.Fn ("=", [t1,t2])) = |
545 |
(*equality: not curried, as other predicates are*) |
|
546 |
if p=0 then path_finder_FT tm (0::1::ps) |
|
547 |
(Metis.Term.Fn (".", [Metis.Term.Fn (".", [metis_eq,t1]), t2])) |
|
548 |
(*select first operand*) |
|
549 |
else path_finder_FT tm (p::ps) |
|
550 |
(Metis.Term.Fn (".", [metis_eq,t2])) |
|
551 |
(*1 selects second operand*) |
|
32994 | 552 |
| path_finder FT tm (_ :: ps) (Metis.Term.Fn ("{}", [t1])) = path_finder_FT tm ps t1 |
32956 | 553 |
(*if not equality, ignore head to skip the hBOOL predicate*) |
554 |
| path_finder FT tm ps t = path_finder_FT tm ps t (*really an error case!*) |
|
35865 | 555 |
fun path_finder_lit ((nt as Const (@{const_name Not}, _)) $ tm_a) idx = |
32956 | 556 |
let val (tm, tm_rslt) = path_finder mode tm_a idx m_tm |
557 |
in (tm, nt $ tm_rslt) end |
|
558 |
| path_finder_lit tm_a idx = path_finder mode tm_a idx m_tm |
|
559 |
val (tm_subst, body) = path_finder_lit i_atm fp |
|
560 |
val tm_abs = Term.Abs("x", Term.type_of tm_subst, body) |
|
561 |
val _ = trace_msg (fn () => "abstraction: " ^ Syntax.string_of_term ctxt tm_abs) |
|
562 |
val _ = trace_msg (fn () => "i_tm: " ^ Syntax.string_of_term ctxt i_tm) |
|
563 |
val _ = trace_msg (fn () => "located term: " ^ Syntax.string_of_term ctxt tm_subst) |
|
564 |
val imax = maxidx_of_term (i_tm $ tm_abs $ tm_subst) (*ill typed but gives right max*) |
|
36945 | 565 |
val subst' = Thm.incr_indexes (imax+1) (if pos then subst_em else ssubst_em) |
32956 | 566 |
val _ = trace_msg (fn () => "subst' " ^ Display.string_of_thm ctxt subst') |
567 |
val eq_terms = map (pairself (cterm_of thy)) |
|
33227 | 568 |
(ListPair.zip (OldTerm.term_vars (prop_of subst'), [tm_abs, tm_subst, i_tm])) |
32956 | 569 |
in cterm_instantiate eq_terms subst' end; |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
570 |
|
32956 | 571 |
val factor = Seq.hd o distinct_subgoals_tac; |
28528
0cf2749e8ef7
The result of the equality inference rule no longer undergoes factoring.
paulson
parents:
28262
diff
changeset
|
572 |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
573 |
fun step ctxt mode skolem_somes thpairs p = |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
574 |
case p of |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
575 |
(fol_th, Metis.Proof.Axiom _) => factor (axiom_inf thpairs fol_th) |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
576 |
| (_, Metis.Proof.Assume f_atm) => assume_inf ctxt mode skolem_somes f_atm |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
577 |
| (_, Metis.Proof.Subst (f_subst, f_th1)) => |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
578 |
factor (inst_inf ctxt mode skolem_somes thpairs f_subst f_th1) |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
579 |
| (_, Metis.Proof.Resolve(f_atm, f_th1, f_th2)) => |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
580 |
factor (resolve_inf ctxt mode skolem_somes thpairs f_atm f_th1 f_th2) |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
581 |
| (_, Metis.Proof.Refl f_tm) => refl_inf ctxt mode skolem_somes f_tm |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
582 |
| (_, Metis.Proof.Equality (f_lit, f_p, f_r)) => |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
583 |
equality_inf ctxt mode skolem_somes f_lit f_p f_r |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
584 |
|
35865 | 585 |
fun real_literal (_, (c, _)) = not (String.isPrefix class_prefix c); |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
586 |
|
37402
12cb33916e37
"raise Fail" for internal errors + one new internal error (instead of "Match")
blanchet
parents:
37399
diff
changeset
|
587 |
(* FIXME: use "fold" instead *) |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
588 |
fun translate _ _ _ thpairs [] = thpairs |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
589 |
| translate ctxt mode skolem_somes thpairs ((fol_th, inf) :: infpairs) = |
32956 | 590 |
let val _ = trace_msg (fn () => "=============================================") |
591 |
val _ = trace_msg (fn () => "METIS THM: " ^ Metis.Thm.toString fol_th) |
|
592 |
val _ = trace_msg (fn () => "INFERENCE: " ^ Metis.Proof.inferenceToString inf) |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
593 |
val th = Meson.flexflex_first_order (step ctxt mode skolem_somes |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
594 |
thpairs (fol_th, inf)) |
32956 | 595 |
val _ = trace_msg (fn () => "ISABELLE THM: " ^ Display.string_of_thm ctxt th) |
596 |
val _ = trace_msg (fn () => "=============================================") |
|
32994 | 597 |
val n_metis_lits = |
598 |
length (filter real_literal (Metis.LiteralSet.toList (Metis.Thm.clause fol_th))) |
|
32956 | 599 |
in |
600 |
if nprems_of th = n_metis_lits then () |
|
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
601 |
else raise METIS ("translate", "Proof reconstruction has gone wrong."); |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
602 |
translate ctxt mode skolem_somes ((fol_th, th) :: thpairs) infpairs |
32956 | 603 |
end; |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
604 |
|
32956 | 605 |
(*Determining which axiom clauses are actually used*) |
606 |
fun used_axioms axioms (th, Metis.Proof.Axiom _) = SOME (lookth axioms th) |
|
32994 | 607 |
| used_axioms _ _ = NONE; |
24855 | 608 |
|
32956 | 609 |
(* ------------------------------------------------------------------------- *) |
610 |
(* Translation of HO Clauses *) |
|
611 |
(* ------------------------------------------------------------------------- *) |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
612 |
|
37479
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
613 |
fun cnf_helper_theorem thy raw th = |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
614 |
if raw then th else the_single (cnf_axiom thy th) |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
615 |
|
32956 | 616 |
fun type_ext thy tms = |
35865 | 617 |
let val subs = tfree_classes_of_terms tms |
618 |
val supers = tvar_classes_of_terms tms |
|
619 |
and tycons = type_consts_of_terms thy tms |
|
620 |
val (supers', arity_clauses) = make_arity_clauses thy tycons supers |
|
621 |
val classrel_clauses = make_classrel_clauses thy subs supers' |
|
32956 | 622 |
in map classrel_cls classrel_clauses @ map arity_cls arity_clauses |
623 |
end; |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
624 |
|
32956 | 625 |
(* ------------------------------------------------------------------------- *) |
626 |
(* Logic maps manage the interface between HOL and first-order logic. *) |
|
627 |
(* ------------------------------------------------------------------------- *) |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
628 |
|
32956 | 629 |
type logic_map = |
35865 | 630 |
{axioms: (Metis.Thm.thm * thm) list, |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
631 |
tfrees: type_literal list, |
37410
2bf7e6136047
adjusted the polymorphism handling of Skolem constants so that proof reconstruction doesn't fail in "equality_inf"
blanchet
parents:
37402
diff
changeset
|
632 |
skolem_somes: (string * term) list} |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
633 |
|
32994 | 634 |
fun const_in_metis c (pred, tm_list) = |
32956 | 635 |
let |
32994 | 636 |
fun in_mterm (Metis.Term.Var _) = false |
32956 | 637 |
| in_mterm (Metis.Term.Fn (".", tm_list)) = exists in_mterm tm_list |
638 |
| in_mterm (Metis.Term.Fn (nm, tm_list)) = c=nm orelse exists in_mterm tm_list |
|
32994 | 639 |
in c = pred orelse exists in_mterm tm_list end; |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
640 |
|
32956 | 641 |
(*Extract TFree constraints from context to include as conjecture clauses*) |
642 |
fun init_tfrees ctxt = |
|
36966
adc11fb3f3aa
generate proper arity declarations for TFrees for SPASS's DFG format;
blanchet
parents:
36945
diff
changeset
|
643 |
let fun add ((a,i),s) Ts = if i = ~1 then TFree(a,s) :: Ts else Ts in |
adc11fb3f3aa
generate proper arity declarations for TFrees for SPASS's DFG format;
blanchet
parents:
36945
diff
changeset
|
644 |
Vartab.fold add (#2 (Variable.constraints_of ctxt)) [] |
adc11fb3f3aa
generate proper arity declarations for TFrees for SPASS's DFG format;
blanchet
parents:
36945
diff
changeset
|
645 |
|> type_literals_for_types |
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36401
diff
changeset
|
646 |
end; |
24937
340523598914
context-based treatment of generalization; also handling TFrees in axiom clauses
paulson
parents:
24920
diff
changeset
|
647 |
|
32956 | 648 |
(*transform isabelle type / arity clause to metis clause *) |
649 |
fun add_type_thm [] lmap = lmap |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
650 |
| add_type_thm ((ith, mth) :: cls) {axioms, tfrees, skolem_somes} = |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
651 |
add_type_thm cls {axioms = (mth, ith) :: axioms, tfrees = tfrees, |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
652 |
skolem_somes = skolem_somes} |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
653 |
|
32956 | 654 |
(*Insert non-logical axioms corresponding to all accumulated TFrees*) |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
655 |
fun add_tfrees {axioms, tfrees, skolem_somes} : logic_map = |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
656 |
{axioms = map (rpair TrueI o metis_of_tfree) (distinct (op =) tfrees) @ |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
657 |
axioms, |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
658 |
tfrees = tfrees, skolem_somes = skolem_somes} |
25713 | 659 |
|
32956 | 660 |
fun string_of_mode FO = "FO" |
661 |
| string_of_mode HO = "HO" |
|
662 |
| string_of_mode FT = "FT" |
|
32532
a0a54a51b15b
My umpteenth attempt to commit the method metisFT, a fully-typed version of metis
paulson
parents:
32530
diff
changeset
|
663 |
|
37479
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
664 |
val helpers = |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
665 |
[("c_COMBI", (false, @{thms COMBI_def})), |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
666 |
("c_COMBK", (false, @{thms COMBK_def})), |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
667 |
("c_COMBB", (false, @{thms COMBB_def})), |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
668 |
("c_COMBC", (false, @{thms COMBC_def})), |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
669 |
("c_COMBS", (false, @{thms COMBS_def})), |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
670 |
("c_fequal", (false, @{thms fequal_imp_equal equal_imp_fequal})), |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
671 |
("c_True", (true, @{thms True_or_False})), |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
672 |
("c_False", (true, @{thms True_or_False})), |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
673 |
("c_If", (true, @{thms if_True if_False True_or_False}))] |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
674 |
|
32956 | 675 |
(* Function to generate metis clauses, including comb and type clauses *) |
676 |
fun build_map mode0 ctxt cls ths = |
|
677 |
let val thy = ProofContext.theory_of ctxt |
|
678 |
(*The modes FO and FT are sticky. HO can be downgraded to FO.*) |
|
679 |
fun set_mode FO = FO |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
680 |
| set_mode HO = |
37538
97ab019d5ac8
make sure that theorems passed using "add:" to Sledgehammer are not eliminated on heuristic grounds
blanchet
parents:
37516
diff
changeset
|
681 |
if forall (is_quasi_fol_theorem thy) (cls @ ths) then FO else HO |
32956 | 682 |
| set_mode FT = FT |
683 |
val mode = set_mode mode0 |
|
684 |
(*transform isabelle clause to metis clause *) |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
685 |
fun add_thm is_conjecture ith {axioms, tfrees, skolem_somes} : logic_map = |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
686 |
let |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
687 |
val (mth, tfree_lits, skolem_somes) = |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
688 |
hol_thm_to_fol is_conjecture ctxt mode (length axioms) skolem_somes |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
689 |
ith |
32956 | 690 |
in |
691 |
{axioms = (mth, Meson.make_meta_clause ith) :: axioms, |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
692 |
tfrees = union (op =) tfree_lits tfrees, |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
693 |
skolem_somes = skolem_somes} |
32956 | 694 |
end; |
37498
b426cbdb5a23
removed Sledgehammer's support for the DFG syntax;
blanchet
parents:
37479
diff
changeset
|
695 |
val lmap = {axioms = [], tfrees = init_tfrees ctxt, skolem_somes = []} |
b426cbdb5a23
removed Sledgehammer's support for the DFG syntax;
blanchet
parents:
37479
diff
changeset
|
696 |
|> fold (add_thm true) cls |
b426cbdb5a23
removed Sledgehammer's support for the DFG syntax;
blanchet
parents:
37479
diff
changeset
|
697 |
|> add_tfrees |
b426cbdb5a23
removed Sledgehammer's support for the DFG syntax;
blanchet
parents:
37479
diff
changeset
|
698 |
|> fold (add_thm false) ths |
32956 | 699 |
val clause_lists = map (Metis.Thm.clause o #1) (#axioms lmap) |
37479
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
700 |
fun is_used c = |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
701 |
exists (Metis.LiteralSet.exists (const_in_metis c o #2)) clause_lists |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
702 |
val lmap = |
37479
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
703 |
if mode = FO then |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
704 |
lmap |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
705 |
else |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
706 |
let |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
707 |
val helper_ths = |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
708 |
helpers |> filter (is_used o fst) |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
709 |
|> maps (fn (_, (raw, thms)) => |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
710 |
if mode = FT orelse not raw then |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
711 |
map (cnf_helper_theorem @{theory} raw) thms |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
712 |
else |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
713 |
[]) |
f6b1ee5b420b
try to improve Sledgehammer/Metis's behavior in full_types mode, e.g. by handing True, False, and If better
blanchet
parents:
37417
diff
changeset
|
714 |
in lmap |> fold (add_thm false) helper_ths end |
37410
2bf7e6136047
adjusted the polymorphism handling of Skolem constants so that proof reconstruction doesn't fail in "equality_inf"
blanchet
parents:
37402
diff
changeset
|
715 |
in (mode, add_type_thm (type_ext thy (map prop_of (cls @ ths))) lmap) end |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
716 |
|
32956 | 717 |
fun refute cls = |
718 |
Metis.Resolution.loop (Metis.Resolution.new Metis.Resolution.default cls); |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
719 |
|
32956 | 720 |
fun is_false t = t aconv (HOLogic.mk_Trueprop HOLogic.false_const); |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
721 |
|
32956 | 722 |
fun common_thm ths1 ths2 = exists (member Thm.eq_thm ths1) (map Meson.make_meta_clause ths2); |
24855 | 723 |
|
37573 | 724 |
|
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
725 |
(* Main function to start Metis proof and reconstruction *) |
32956 | 726 |
fun FOL_SOLVE mode ctxt cls ths0 = |
727 |
let val thy = ProofContext.theory_of ctxt |
|
35826 | 728 |
val th_cls_pairs = |
35865 | 729 |
map (fn th => (Thm.get_name_hint th, cnf_axiom thy th)) ths0 |
32956 | 730 |
val ths = maps #2 th_cls_pairs |
731 |
val _ = trace_msg (fn () => "FOL_SOLVE: CONJECTURE CLAUSES") |
|
732 |
val _ = app (fn th => trace_msg (fn () => Display.string_of_thm ctxt th)) cls |
|
733 |
val _ = trace_msg (fn () => "THEOREM CLAUSES") |
|
734 |
val _ = app (fn th => trace_msg (fn () => Display.string_of_thm ctxt th)) ths |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
735 |
val (mode, {axioms, tfrees, skolem_somes}) = build_map mode ctxt cls ths |
32956 | 736 |
val _ = if null tfrees then () |
737 |
else (trace_msg (fn () => "TFREE CLAUSES"); |
|
37573 | 738 |
app (fn TyLitFree (s, (s', _)) => |
739 |
trace_msg (fn _ => s ^ "(" ^ s' ^ ")")) tfrees) |
|
32956 | 740 |
val _ = trace_msg (fn () => "CLAUSES GIVEN TO METIS") |
741 |
val thms = map #1 axioms |
|
742 |
val _ = app (fn th => trace_msg (fn () => Metis.Thm.toString th)) thms |
|
743 |
val _ = trace_msg (fn () => "mode = " ^ string_of_mode mode) |
|
744 |
val _ = trace_msg (fn () => "START METIS PROVE PROCESS") |
|
745 |
in |
|
33317 | 746 |
case filter (is_false o prop_of) cls of |
32956 | 747 |
false_th::_ => [false_th RS @{thm FalseE}] |
748 |
| [] => |
|
749 |
case refute thms of |
|
750 |
Metis.Resolution.Contradiction mth => |
|
751 |
let val _ = trace_msg (fn () => "METIS RECONSTRUCTION START: " ^ |
|
752 |
Metis.Thm.toString mth) |
|
753 |
val ctxt' = fold Variable.declare_constraints (map prop_of cls) ctxt |
|
754 |
(*add constraints arising from converting goal to clause form*) |
|
755 |
val proof = Metis.Proof.proof mth |
|
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37318
diff
changeset
|
756 |
val result = translate ctxt' mode skolem_somes axioms proof |
32956 | 757 |
and used = map_filter (used_axioms axioms) proof |
758 |
val _ = trace_msg (fn () => "METIS COMPLETED...clauses actually used:") |
|
759 |
val _ = app (fn th => trace_msg (fn () => Display.string_of_thm ctxt th)) used |
|
33305 | 760 |
val unused = th_cls_pairs |> map_filter (fn (name, cls) => |
761 |
if common_thm used cls then NONE else SOME name) |
|
32956 | 762 |
in |
36383 | 763 |
if not (null cls) andalso not (common_thm used cls) then |
764 |
warning "Metis: The assumptions are inconsistent." |
|
765 |
else |
|
766 |
(); |
|
767 |
if not (null unused) then |
|
36230
43d10a494c91
added warning about inconsistent context to Metis;
blanchet
parents:
36170
diff
changeset
|
768 |
warning ("Metis: Unused theorems: " ^ commas_quote unused |
43d10a494c91
added warning about inconsistent context to Metis;
blanchet
parents:
36170
diff
changeset
|
769 |
^ ".") |
43d10a494c91
added warning about inconsistent context to Metis;
blanchet
parents:
36170
diff
changeset
|
770 |
else |
43d10a494c91
added warning about inconsistent context to Metis;
blanchet
parents:
36170
diff
changeset
|
771 |
(); |
32956 | 772 |
case result of |
773 |
(_,ith)::_ => |
|
36230
43d10a494c91
added warning about inconsistent context to Metis;
blanchet
parents:
36170
diff
changeset
|
774 |
(trace_msg (fn () => "Success: " ^ Display.string_of_thm ctxt ith); |
32956 | 775 |
[ith]) |
36230
43d10a494c91
added warning about inconsistent context to Metis;
blanchet
parents:
36170
diff
changeset
|
776 |
| _ => (trace_msg (fn () => "Metis: No result"); |
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
777 |
raise METIS ("FOL_SOLVE", "")) |
32956 | 778 |
end |
779 |
| Metis.Resolution.Satisfiable _ => |
|
780 |
(trace_msg (fn () => "Metis: No first-order proof with the lemmas supplied"); |
|
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
781 |
raise METIS ("FOL_SOLVE", "")) |
32956 | 782 |
end; |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
783 |
|
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
784 |
fun generic_metis_tac mode ctxt ths i st0 = |
32956 | 785 |
let val _ = trace_msg (fn () => |
786 |
"Metis called with theorems " ^ cat_lines (map (Display.string_of_thm ctxt) ths)) |
|
787 |
in |
|
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
788 |
if exists_type type_has_topsort (prop_of st0) then |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
789 |
(warning ("Metis: Proof state contains the universal sort {}"); Seq.empty) |
35568
8fbbfc39508f
renamed type_has_empty_sort to type_has_topsort -- {} is the full universal sort;
wenzelm
parents:
34087
diff
changeset
|
790 |
else |
36401
31252c4d4923
adapt code to reflect new signature of "neg_clausify"
blanchet
parents:
36383
diff
changeset
|
791 |
(Meson.MESON (maps neg_clausify) |
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
792 |
(fn cls => resolve_tac (FOL_SOLVE mode ctxt cls ths) 1) |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
793 |
ctxt i |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
794 |
THEN Meson_Tactic.expand_defs_tac st0) st0 |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
795 |
handle ERROR msg => raise METIS ("generic_metis_tac", msg) |
32956 | 796 |
end |
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
797 |
handle METIS (loc, msg) => |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
798 |
if mode = HO then |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
799 |
(warning ("Metis: Falling back on \"metisFT\"."); |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
800 |
generic_metis_tac FT ctxt ths i st0) |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
801 |
else if msg = "" then |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
802 |
Seq.empty |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
803 |
else |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
804 |
raise error ("Metis (" ^ loc ^ "): " ^ msg) |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
805 |
|
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
806 |
val metis_tac = generic_metis_tac HO |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
807 |
val metisF_tac = generic_metis_tac FO |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
808 |
val metisFT_tac = generic_metis_tac FT |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
809 |
|
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
810 |
fun method name mode = |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
811 |
Method.setup name (Attrib.thms >> (fn ths => fn ctxt => |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
812 |
SIMPLE_METHOD' (CHANGED_PROP o generic_metis_tac mode ctxt ths))) |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
813 |
|
32956 | 814 |
val setup = |
37516
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
815 |
type_lits_setup |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
816 |
#> method @{binding metis} HO "Metis for FOL/HOL problems" |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
817 |
#> method @{binding metisF} FO "Metis for FOL problems" |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
818 |
#> method @{binding metisFT} FT |
c81c86bfc18a
have "metis" method and "metis_tac" fall back on "metisFT" upon failure, following a suggestion by Larry
blanchet
parents:
37509
diff
changeset
|
819 |
"Metis for FOL/HOL problems with fully-typed translation" |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
820 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
821 |
end; |