author | wenzelm |
Wed, 04 Mar 2015 19:53:18 +0100 | |
changeset 59582 | 0fbed69ff081 |
parent 59498 | 50b60f501b05 |
child 59586 | ddf6deaadfe8 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/Metis/metis_tactic.ML |
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Author: Kong W. Susanto, Cambridge University Computer Laboratory |
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Author: Lawrence C. Paulson, Cambridge University Computer Laboratory |
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Author: Jasmin Blanchette, TU Muenchen |
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The Metis prover (slightly modified version from Larry);
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Copyright Cambridge University 2007 |
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HOL setup for the Metis prover. |
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The Metis prover (slightly modified version from Larry);
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*) |
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The Metis prover (slightly modified version from Larry);
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|
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renamed "Metis_Tactics" to "Metis_Tactic", now that there is only one Metis tactic ("metisFT" is legacy)
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signature METIS_TACTIC = |
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sig |
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val trace : bool Config.T |
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val verbose : bool Config.T |
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val new_skolem : bool Config.T |
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val advisory_simp : bool Config.T |
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val metis_tac_unused : string list -> string -> Proof.context -> thm list -> int -> thm -> |
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thm list * thm Seq.seq |
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val metis_tac : string list -> string -> Proof.context -> thm list -> int -> tactic |
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val metis_lam_transs : string list |
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val parse_metis_options : (string list option * string option) parser |
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end |
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|
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structure Metis_Tactic : METIS_TACTIC = |
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struct |
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open ATP_Problem_Generate |
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open ATP_Proof_Reconstruct |
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open Metis_Generate |
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open Metis_Reconstruct |
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val new_skolem = Attrib.setup_config_bool @{binding metis_new_skolem} (K false) |
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val advisory_simp = Attrib.setup_config_bool @{binding metis_advisory_simp} (K true) |
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(* Designed to work also with monomorphic instances of polymorphic theorems. *) |
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fun have_common_thm ths1 ths2 = |
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exists (member (Term.aconv_untyped o apply2 Thm.prop_of) ths1) (map Meson.make_meta_clause ths2) |
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(*Determining which axiom clauses are actually used*) |
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fun used_axioms axioms (th, Metis_Proof.Axiom _) = SOME (lookth axioms th) |
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| used_axioms _ _ = NONE |
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(* Lightweight predicate type information comes in two flavors, "t = t'" and |
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"t => t'", where "t" and "t'" are the same term modulo type tags. |
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In Isabelle, type tags are stripped away, so we are left with "t = t" or |
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"t => t". Type tag idempotence is also handled this way. *) |
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fun reflexive_or_trivial_of_metis ctxt type_enc sym_tab concealed mth = |
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let val thy = Proof_Context.theory_of ctxt in |
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(case hol_clause_of_metis ctxt type_enc sym_tab concealed mth of |
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Const (@{const_name HOL.eq}, _) $ _ $ t => |
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let |
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val ct = Thm.cterm_of thy t |
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val cT = Thm.ctyp_of_term ct |
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in refl |> Drule.instantiate' [SOME cT] [SOME ct] end |
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| Const (@{const_name disj}, _) $ t1 $ t2 => |
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(if can HOLogic.dest_not t1 then t2 else t1) |
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|> HOLogic.mk_Trueprop |> Thm.cterm_of thy |> Thm.trivial |
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| _ => raise Fail "expected reflexive or trivial clause") |
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end |
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|> Meson.make_meta_clause |
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||
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fun lam_lifted_of_metis ctxt type_enc sym_tab concealed mth = |
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let |
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val thy = Proof_Context.theory_of ctxt |
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val tac = rewrite_goals_tac ctxt @{thms lambda_def [abs_def]} THEN resolve_tac ctxt [refl] 1 |
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val t = hol_clause_of_metis ctxt type_enc sym_tab concealed mth |
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val ct = Thm.cterm_of thy (HOLogic.mk_Trueprop t) |
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in Goal.prove_internal ctxt [] ct (K tac) |> Meson.make_meta_clause end |
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fun add_vars_and_frees (t $ u) = fold (add_vars_and_frees) [t, u] |
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| add_vars_and_frees (Abs (_, _, t)) = add_vars_and_frees t |
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| add_vars_and_frees (t as Var _) = insert (op =) t |
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| add_vars_and_frees (t as Free _) = insert (op =) t |
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| add_vars_and_frees _ = I |
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fun introduce_lam_wrappers ctxt th = |
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if Meson_Clausify.is_quasi_lambda_free (Thm.prop_of th) then |
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th |
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else |
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let |
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val thy = Proof_Context.theory_of ctxt |
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fun conv first ctxt ct = |
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if Meson_Clausify.is_quasi_lambda_free (Thm.term_of ct) then |
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Thm.reflexive ct |
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else |
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(case Thm.term_of ct of |
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Abs (_, _, u) => |
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if first then |
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(case add_vars_and_frees u [] of |
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[] => |
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Conv.abs_conv (conv false o snd) ctxt ct |
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|> (fn th => Meson.first_order_resolve th @{thm Metis.eq_lambdaI}) |
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| v :: _ => |
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Abs (Name.uu, fastype_of v, abstract_over (v, Thm.term_of ct)) $ v |
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|> Thm.cterm_of thy |
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|> Conv.comb_conv (conv true ctxt)) |
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else |
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Conv.abs_conv (conv false o snd) ctxt ct |
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| Const (@{const_name Meson.skolem}, _) $ _ => Thm.reflexive ct |
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| _ => Conv.comb_conv (conv true ctxt) ct) |
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val eq_th = conv true ctxt (Thm.cprop_of th) |
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(* We replace the equation's left-hand side with a beta-equivalent term |
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so that "Thm.equal_elim" works below. *) |
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val t0 $ _ $ t2 = Thm.prop_of eq_th |
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val eq_ct = t0 $ Thm.prop_of th $ t2 |> Thm.cterm_of thy |
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val eq_th' = Goal.prove_internal ctxt [] eq_ct (K (resolve_tac ctxt [eq_th] 1)) |
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in Thm.equal_elim eq_th' th end |
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|
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fun clause_params ordering = |
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{ordering = ordering, |
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orderLiterals = Metis_Clause.UnsignedLiteralOrder, |
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orderTerms = true} |
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fun active_params ordering = |
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{clause = clause_params ordering, |
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prefactor = #prefactor Metis_Active.default, |
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postfactor = #postfactor Metis_Active.default} |
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val waiting_params = |
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{symbolsWeight = 1.0, |
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variablesWeight = 0.05, |
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literalsWeight = 0.01, |
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models = []} |
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fun resolution_params ordering = |
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{active = active_params ordering, waiting = waiting_params} |
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|
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fun kbo_advisory_simp_ordering ord_info = |
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let |
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fun weight (m, _) = |
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AList.lookup (op =) ord_info (Metis_Name.toString m) |> the_default 1 |
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fun precedence p = |
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(case int_ord (apply2 weight p) of |
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EQUAL => #precedence Metis_KnuthBendixOrder.default p |
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| ord => ord) |
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in {weight = weight, precedence = precedence} end |
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fun metis_call type_enc lam_trans = |
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let |
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val type_enc = |
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(case AList.find (fn (enc, encs) => enc = hd encs) type_enc_aliases type_enc of |
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[alias] => alias |
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| _ => type_enc) |
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val opts = |
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[] |> type_enc <> partial_typesN ? cons type_enc |
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|> lam_trans <> default_metis_lam_trans ? cons lam_trans |
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in metisN ^ (if null opts then "" else " (" ^ commas opts ^ ")") end |
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||
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exception METIS_UNPROVABLE of unit |
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(* Main function to start Metis proof and reconstruction *) |
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|
148 |
fun FOL_SOLVE unused (type_enc :: fallback_type_encs) lam_trans ctxt cls ths0 = |
42361 | 149 |
let val thy = Proof_Context.theory_of ctxt |
50705
0e943b33d907
use new skolemizer for reconstructing skolemization steps in Isar proofs (because the old skolemizer messes up the order of the Skolem arguments)
blanchet
parents:
50694
diff
changeset
|
150 |
val new_skolem = |
0e943b33d907
use new skolemizer for reconstructing skolemization steps in Isar proofs (because the old skolemizer messes up the order of the Skolem arguments)
blanchet
parents:
50694
diff
changeset
|
151 |
Config.get ctxt new_skolem orelse null (Meson.choice_theorems thy) |
46365 | 152 |
val do_lams = |
153 |
(lam_trans = liftingN orelse lam_trans = lam_liftingN) |
|
154 |
? introduce_lam_wrappers ctxt |
|
35826 | 155 |
val th_cls_pairs = |
39894
35ae5cf8c96a
encode number of skolem assumptions in them, for more efficient retrieval later
blanchet
parents:
39892
diff
changeset
|
156 |
map2 (fn j => fn th => |
35ae5cf8c96a
encode number of skolem assumptions in them, for more efficient retrieval later
blanchet
parents:
39892
diff
changeset
|
157 |
(Thm.get_name_hint th, |
45570
6d95a66cce00
pull variables (Var) out of lambdas, so that the Isabelle theorems closely mirror the Metis lambda-lifted ones
blanchet
parents:
45569
diff
changeset
|
158 |
th |> Drule.eta_contraction_rule |
57263 | 159 |
|> Meson_Clausify.cnf_axiom ctxt new_skolem (lam_trans = combsN) j |
45570
6d95a66cce00
pull variables (Var) out of lambdas, so that the Isabelle theorems closely mirror the Metis lambda-lifted ones
blanchet
parents:
45569
diff
changeset
|
160 |
||> map do_lams)) |
39894
35ae5cf8c96a
encode number of skolem assumptions in them, for more efficient retrieval later
blanchet
parents:
39892
diff
changeset
|
161 |
(0 upto length ths0 - 1) ths0 |
43092
93ec303e1917
more work on new metis that exploits the powerful new type encodings
blanchet
parents:
43091
diff
changeset
|
162 |
val ths = maps (snd o snd) th_cls_pairs |
39938
0a2091f86eb4
fixed two bugs in new skolemizer: instantiations now take types into consideration, and rotate_tac is given the proper offset
blanchet
parents:
39937
diff
changeset
|
163 |
val dischargers = map (fst o snd) th_cls_pairs |
45570
6d95a66cce00
pull variables (Var) out of lambdas, so that the Isabelle theorems closely mirror the Metis lambda-lifted ones
blanchet
parents:
45569
diff
changeset
|
164 |
val cls = cls |> map (Drule.eta_contraction_rule #> do_lams) |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
165 |
val _ = trace_msg ctxt (K "FOL_SOLVE: CONJECTURE CLAUSES") |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
166 |
val _ = app (fn th => trace_msg ctxt (fn () => Display.string_of_thm ctxt th)) cls |
44411
e3629929b171
change Metis's default settings if type information axioms are generated
blanchet
parents:
44408
diff
changeset
|
167 |
val _ = trace_msg ctxt (fn () => "type_enc = " ^ type_enc) |
52031
9a9238342963
tuning -- renamed '_from_' to '_of_' in Sledgehammer
blanchet
parents:
51717
diff
changeset
|
168 |
val type_enc = type_enc_of_string Strict type_enc |
47039
1b36a05a070d
added "metis_advisory_simp" option to orient as many equations as possible in Metis the right way (cf. "More SPASS with Isabelle")
blanchet
parents:
47015
diff
changeset
|
169 |
val (sym_tab, axioms, ord_info, concealed) = |
57263 | 170 |
generate_metis_problem ctxt type_enc lam_trans cls ths |
43159
29b55f292e0b
added support for helpers in new Metis, so far only for polymorphic type encodings
blanchet
parents:
43136
diff
changeset
|
171 |
fun get_isa_thm mth Isa_Reflexive_or_Trivial = |
52031
9a9238342963
tuning -- renamed '_from_' to '_of_' in Sledgehammer
blanchet
parents:
51717
diff
changeset
|
172 |
reflexive_or_trivial_of_metis ctxt type_enc sym_tab concealed mth |
45511
9b0f8ca4388e
continued implementation of lambda-lifting in Metis
blanchet
parents:
45508
diff
changeset
|
173 |
| get_isa_thm mth Isa_Lambda_Lifted = |
52031
9a9238342963
tuning -- renamed '_from_' to '_of_' in Sledgehammer
blanchet
parents:
51717
diff
changeset
|
174 |
lam_lifted_of_metis ctxt type_enc sym_tab concealed mth |
45569
eb30a5490543
wrap lambdas earlier, to get more control over beta/eta
blanchet
parents:
45568
diff
changeset
|
175 |
| get_isa_thm _ (Isa_Raw ith) = ith |
eb30a5490543
wrap lambdas earlier, to get more control over beta/eta
blanchet
parents:
45568
diff
changeset
|
176 |
val axioms = axioms |> map (fn (mth, ith) => (mth, get_isa_thm mth ith)) |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
177 |
val _ = trace_msg ctxt (K "ISABELLE CLAUSES") |
45559 | 178 |
val _ = app (fn (_, ith) => trace_msg ctxt (fn () => Display.string_of_thm ctxt ith)) axioms |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
179 |
val _ = trace_msg ctxt (K "METIS CLAUSES") |
45559 | 180 |
val _ = app (fn (mth, _) => trace_msg ctxt (fn () => Metis_Thm.toString mth)) axioms |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
181 |
val _ = trace_msg ctxt (K "START METIS PROVE PROCESS") |
47039
1b36a05a070d
added "metis_advisory_simp" option to orient as many equations as possible in Metis the right way (cf. "More SPASS with Isabelle")
blanchet
parents:
47015
diff
changeset
|
182 |
val ordering = |
1b36a05a070d
added "metis_advisory_simp" option to orient as many equations as possible in Metis the right way (cf. "More SPASS with Isabelle")
blanchet
parents:
47015
diff
changeset
|
183 |
if Config.get ctxt advisory_simp then |
1b36a05a070d
added "metis_advisory_simp" option to orient as many equations as possible in Metis the right way (cf. "More SPASS with Isabelle")
blanchet
parents:
47015
diff
changeset
|
184 |
kbo_advisory_simp_ordering (ord_info ()) |
1b36a05a070d
added "metis_advisory_simp" option to orient as many equations as possible in Metis the right way (cf. "More SPASS with Isabelle")
blanchet
parents:
47015
diff
changeset
|
185 |
else |
1b36a05a070d
added "metis_advisory_simp" option to orient as many equations as possible in Metis the right way (cf. "More SPASS with Isabelle")
blanchet
parents:
47015
diff
changeset
|
186 |
Metis_KnuthBendixOrder.default |
50875
bfb626265782
less brutal Metis failure -- the brutality was accidentally introduced by df8ae0590be2
blanchet
parents:
50705
diff
changeset
|
187 |
fun fall_back () = |
bfb626265782
less brutal Metis failure -- the brutality was accidentally introduced by df8ae0590be2
blanchet
parents:
50705
diff
changeset
|
188 |
(verbose_warning ctxt |
55257 | 189 |
("Falling back on " ^ quote (metis_call (hd fallback_type_encs) lam_trans) ^ "..."); |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
190 |
FOL_SOLVE unused fallback_type_encs lam_trans ctxt cls ths0) |
32956 | 191 |
in |
59582 | 192 |
(case filter (fn t => Thm.prop_of t aconv @{prop False}) cls of |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
193 |
false_th :: _ => [false_th RS @{thm FalseE}] |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
194 |
| [] => |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
195 |
(case Metis_Resolution.loop (Metis_Resolution.new (resolution_params ordering) |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
196 |
{axioms = axioms |> map fst, conjecture = []}) of |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
197 |
Metis_Resolution.Contradiction mth => |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
198 |
let |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
199 |
val _ = trace_msg ctxt (fn () => "METIS RECONSTRUCTION START: " ^ Metis_Thm.toString mth) |
59582 | 200 |
val ctxt' = fold Variable.declare_constraints (map Thm.prop_of cls) ctxt |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
201 |
(*add constraints arising from converting goal to clause form*) |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
202 |
val proof = Metis_Proof.proof mth |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
203 |
val result = fold (replay_one_inference ctxt' type_enc concealed sym_tab) proof axioms |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
204 |
val used = map_filter (used_axioms axioms) proof |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
205 |
val _ = trace_msg ctxt (K "METIS COMPLETED; clauses actually used:") |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
206 |
val _ = app (fn th => trace_msg ctxt (fn () => Display.string_of_thm ctxt th)) used |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
207 |
val (used_th_cls_pairs, unused_th_cls_pairs) = |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
208 |
List.partition (have_common_thm used o snd o snd) th_cls_pairs |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
209 |
val unused_ths = maps (snd o snd) unused_th_cls_pairs |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
210 |
val unused_names = map fst unused_th_cls_pairs |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
211 |
in |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
212 |
unused := unused_ths; |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
213 |
if not (null unused_names) then |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
214 |
verbose_warning ctxt ("Unused theorems: " ^ commas_quote unused_names) |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
215 |
else |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
216 |
(); |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
217 |
if not (null cls) andalso not (have_common_thm used cls) then |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
218 |
verbose_warning ctxt "The assumptions are inconsistent" |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
219 |
else |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
220 |
(); |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
221 |
(case result of |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
222 |
(_, ith) :: _ => |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
223 |
(trace_msg ctxt (fn () => "Success: " ^ Display.string_of_thm ctxt ith); |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
224 |
[discharge_skolem_premises ctxt dischargers ith]) |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
225 |
| _ => (trace_msg ctxt (K "Metis: No result"); [])) |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
226 |
end |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
227 |
| Metis_Resolution.Satisfiable _ => |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
228 |
(trace_msg ctxt (K "Metis: No first-order proof with the supplied lemmas"); |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
229 |
raise METIS_UNPROVABLE ())) |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
230 |
handle METIS_UNPROVABLE () => if null fallback_type_encs then [] else fall_back () |
50875
bfb626265782
less brutal Metis failure -- the brutality was accidentally introduced by df8ae0590be2
blanchet
parents:
50705
diff
changeset
|
231 |
| METIS_RECONSTRUCT (loc, msg) => |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
232 |
if null fallback_type_encs then |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
233 |
(verbose_warning ctxt ("Failed to replay Metis proof\n" ^ loc ^ ": " ^ msg); []) |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
234 |
else |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
235 |
fall_back ()) |
42733
01ef1c3d9cfd
more robust exception handling in Metis (also works if there are several subgoals)
blanchet
parents:
42650
diff
changeset
|
236 |
end |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
237 |
|
45508 | 238 |
fun neg_clausify ctxt combinators = |
38028 | 239 |
single |
43964
9338aa218f09
thread proper context through, to make sure that "using [[meson_max_clauses = 200]]" is not ignored when clausifying the conjecture
blanchet
parents:
43963
diff
changeset
|
240 |
#> Meson.make_clauses_unsorted ctxt |
55236 | 241 |
#> combinators ? map (Meson_Clausify.introduce_combinators_in_theorem ctxt) |
38028 | 242 |
#> Meson.finish_cnf |
243 |
||
39269
c2795d8a2461
use definitional CNF for the goal if at least one of the premisses would lead to too many clauses in Meson
blanchet
parents:
39267
diff
changeset
|
244 |
fun preskolem_tac ctxt st0 = |
c2795d8a2461
use definitional CNF for the goal if at least one of the premisses would lead to too many clauses in Meson
blanchet
parents:
39267
diff
changeset
|
245 |
(if exists (Meson.has_too_many_clauses ctxt) |
59582 | 246 |
(Logic.prems_of_goal (Thm.prop_of st0) 1) then |
51717
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
50875
diff
changeset
|
247 |
Simplifier.full_simp_tac (Meson_Clausify.ss_only @{thms not_all not_ex} ctxt) 1 |
55239 | 248 |
THEN CNF.cnfx_rewrite_tac ctxt 1 |
39269
c2795d8a2461
use definitional CNF for the goal if at least one of the premisses would lead to too many clauses in Meson
blanchet
parents:
39267
diff
changeset
|
249 |
else |
c2795d8a2461
use definitional CNF for the goal if at least one of the premisses would lead to too many clauses in Meson
blanchet
parents:
39267
diff
changeset
|
250 |
all_tac) st0 |
c2795d8a2461
use definitional CNF for the goal if at least one of the premisses would lead to too many clauses in Meson
blanchet
parents:
39267
diff
changeset
|
251 |
|
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
252 |
fun metis_tac_unused type_encs0 lam_trans ctxt ths i st0 = |
37926
e6ff246c0cdb
renamings + only need second component of name pool to reconstruct proofs
blanchet
parents:
37925
diff
changeset
|
253 |
let |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
254 |
val unused = Unsynchronized.ref [] |
55520 | 255 |
val type_encs = if null type_encs0 then partial_type_encs else type_encs0 |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
256 |
val _ = trace_msg ctxt (fn () => |
55315 | 257 |
"Metis called with theorems\n" ^ cat_lines (map (Display.string_of_thm ctxt) ths)) |
45519
cd6e78cb6ee8
make metis reconstruction handling more flexible
blanchet
parents:
45514
diff
changeset
|
258 |
val type_encs = type_encs |> maps unalias_type_enc |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
259 |
val combs = (lam_trans = combsN) |
59498
50b60f501b05
proper context for resolve_tac, eresolve_tac, dresolve_tac, forward_tac etc.;
wenzelm
parents:
59058
diff
changeset
|
260 |
fun tac clause = resolve_tac ctxt (FOL_SOLVE unused type_encs lam_trans ctxt clause ths) 1 |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
261 |
val seq = Meson.MESON (preskolem_tac ctxt) (maps (neg_clausify ctxt combs)) tac ctxt i st0 |
32956 | 262 |
in |
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
263 |
(!unused, seq) |
32956 | 264 |
end |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
265 |
|
55521
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
266 |
fun metis_tac type_encs lam_trans ctxt ths i = snd o metis_tac_unused type_encs lam_trans ctxt ths i |
241c6a2fdda1
added a version of the Metis tactic that returns the unused facts
blanchet
parents:
55520
diff
changeset
|
267 |
|
55520 | 268 |
(* Whenever "X" has schematic type variables, we treat "using X by metis" as "by (metis X)" to |
269 |
prevent "Subgoal.FOCUS" from freezing the type variables. We don't do it for nonschematic facts |
|
270 |
"X" because this breaks a few proofs (in the rare and subtle case where a proof relied on |
|
271 |
extensionality not being applied) and brings few benefits. *) |
|
59582 | 272 |
val has_tvar = exists_type (exists_subtype (fn TVar _ => true | _ => false)) o Thm.prop_of |
43034
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
blanchet
parents:
42847
diff
changeset
|
273 |
|
55315 | 274 |
fun metis_method ((override_type_encs, lam_trans), ths) ctxt facts = |
55520 | 275 |
let val (schem_facts, nonschem_facts) = List.partition has_tvar facts in |
43099 | 276 |
HEADGOAL (Method.insert_tac nonschem_facts THEN' |
55520 | 277 |
CHANGED_PROP o metis_tac (these override_type_encs) |
278 |
(the_default default_metis_lam_trans lam_trans) ctxt (schem_facts @ ths)) |
|
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end |
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val metis_lam_transs = [hide_lamsN, liftingN, combsN] |
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fun set_opt _ x NONE = SOME x |
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| set_opt get x (SOME x0) = |
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error ("Cannot specify both " ^ quote (get x0) ^ " and " ^ quote (get x)) |
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|
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fun consider_opt s = |
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if member (op =) metis_lam_transs s then apsnd (set_opt I s) else apfst (set_opt hd [s]) |
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val parse_metis_options = |
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Scan.optional |
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(Args.parens (Args.name -- Scan.option (@{keyword ","} |-- Args.name)) |
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>> (fn (s, s') => |
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(NONE, NONE) |> consider_opt s |
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|> (case s' of SOME s' => consider_opt s' | _ => I))) |
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(NONE, NONE) |
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val _ = |
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Theory.setup |
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(Method.setup @{binding metis} |
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(Scan.lift parse_metis_options -- Attrib.thms >> (METHOD oo metis_method)) |
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"Metis for FOL and HOL problems") |
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The Metis prover (slightly modified version from Larry);
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|
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end; |