author | blanchet |
Wed, 16 Nov 2011 09:42:27 +0100 | |
changeset 45514 | 973bb7846505 |
parent 45513 | 25388cf06437 |
child 45519 | cd6e78cb6ee8 |
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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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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parents:
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|
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signature METIS_TACTIC = |
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sig |
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val metisN : string |
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val full_typesN : string |
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val partial_typesN : string |
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val no_typesN : string |
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val really_full_type_enc : string |
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val full_type_enc : string |
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val partial_type_enc : string |
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val no_type_enc : string |
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val full_type_syss : string list |
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val partial_type_syss : string list |
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val trace : bool Config.T |
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val verbose : bool Config.T |
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val new_skolemizer : bool Config.T |
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val type_has_top_sort : typ -> bool |
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val metis_tac : |
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string list -> string -> Proof.context -> thm list -> int -> tactic |
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val setup : theory -> theory |
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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_Translate |
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open Metis_Translate |
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open Metis_Reconstruct |
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val metisN = "metis" |
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val full_typesN = "full_types" |
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val partial_typesN = "partial_types" |
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val no_typesN = "no_types" |
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val really_full_type_enc = "mono_tags" |
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val full_type_enc = "poly_guards_query" |
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val partial_type_enc = "poly_args" |
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val no_type_enc = "erased" |
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val full_type_syss = [full_type_enc, really_full_type_enc] |
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val partial_type_syss = partial_type_enc :: full_type_syss |
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val type_enc_aliases = |
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[(full_typesN, full_type_syss), |
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(partial_typesN, partial_type_syss), |
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(no_typesN, [no_type_enc])] |
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val lam_transs = [hide_lamsN, lam_liftingN, combinatorsN] |
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val default_lam_trans = combinatorsN |
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fun method_call_for type_syss lam_trans = |
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metisN ^ " (" ^ |
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(case AList.find (op =) type_enc_aliases type_syss of |
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[alias] => alias |
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| _ => hd type_syss) ^ |
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(if lam_trans = default_lam_trans then "" else ", " ^ lam_trans) ^ ")" |
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val new_skolemizer = |
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Attrib.setup_config_bool @{binding metis_new_skolemizer} (K false) |
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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 pairself prop_of) ths1) |
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(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_from_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_from_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 = cterm_of thy t |
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val cT = 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 |> 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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fun lambda_lifted_from_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 @{thms lambda_def_raw} THEN rtac refl 1 |
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val t = hol_clause_from_metis ctxt type_enc sym_tab concealed mth |
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val ct = cterm_of thy (HOLogic.mk_Trueprop t) |
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in Goal.prove_internal [] ct (K tac) |> Meson.make_meta_clause end |
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fun introduce_lambda_wrappers_in_theorem ctxt th = |
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if Meson_Clausify.is_quasi_lambda_free (prop_of th) then |
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th |
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else |
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let |
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fun conv wrap ctxt ct = |
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if Meson_Clausify.is_quasi_lambda_free (term_of ct) then |
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Thm.reflexive ct |
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else case term_of ct of |
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Abs _ => |
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Conv.abs_conv (conv false o snd) ctxt ct |
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|> wrap ? (fn th => th RS @{thm Metis.eq_lambdaI}) |
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| _ => Conv.comb_conv (conv true ctxt) ct |
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val eqth = conv true ctxt (cprop_of th) |
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in Thm.equal_elim eqth th end |
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val clause_params = |
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{ordering = Metis_KnuthBendixOrder.default, |
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orderLiterals = Metis_Clause.UnsignedLiteralOrder, |
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orderTerms = true} |
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val active_params = |
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{clause = clause_params, |
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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 = 0.0, |
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literalsWeight = 0.0, |
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models = []} |
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val resolution_params = {active = active_params, waiting = waiting_params} |
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(* Main function to start Metis proof and reconstruction *) |
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fun FOL_SOLVE (type_enc :: fallback_type_syss) lam_trans ctxt cls ths0 = |
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let val thy = Proof_Context.theory_of ctxt |
39901
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make "cnf_axiom" work (after a fashion) in the absence of the axiom of choice
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|
140 |
val new_skolemizer = |
39950 | 141 |
Config.get ctxt new_skolemizer orelse null (Meson.choice_theorems thy) |
35826 | 142 |
val th_cls_pairs = |
39894
35ae5cf8c96a
encode number of skolem assumptions in them, for more efficient retrieval later
blanchet
parents:
39892
diff
changeset
|
143 |
map2 (fn j => fn th => |
35ae5cf8c96a
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diff
changeset
|
144 |
(Thm.get_name_hint th, |
45508 | 145 |
Meson_Clausify.cnf_axiom ctxt new_skolemizer |
45514 | 146 |
(lam_trans = combinatorsN) j th)) |
39894
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encode number of skolem assumptions in them, for more efficient retrieval later
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|
147 |
(0 upto length ths0 - 1) ths0 |
43092
93ec303e1917
more work on new metis that exploits the powerful new type encodings
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changeset
|
148 |
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
|
149 |
val dischargers = map (fst o snd) th_cls_pairs |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
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parents:
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changeset
|
150 |
val _ = trace_msg ctxt (fn () => "FOL_SOLVE: CONJECTURE CLAUSES") |
11bfb7e7cc86
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parents:
39964
diff
changeset
|
151 |
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
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parents:
44408
diff
changeset
|
152 |
val _ = trace_msg ctxt (fn () => "type_enc = " ^ type_enc) |
44634
2ac4ff398bc3
make "sound" sound and "unsound" more sound, based on evaluation
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parents:
44588
diff
changeset
|
153 |
val type_enc = type_enc_from_string Sound type_enc |
45508 | 154 |
val (sym_tab, axioms, concealed) = |
45514 | 155 |
prepare_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
|
156 |
fun get_isa_thm mth Isa_Reflexive_or_Trivial = |
45508 | 157 |
reflexive_or_trivial_from_metis ctxt type_enc sym_tab concealed mth |
45511
9b0f8ca4388e
continued implementation of lambda-lifting in Metis
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45508
diff
changeset
|
158 |
| get_isa_thm mth Isa_Lambda_Lifted = |
9b0f8ca4388e
continued implementation of lambda-lifting in Metis
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diff
changeset
|
159 |
lambda_lifted_from_metis ctxt type_enc sym_tab concealed mth |
9b0f8ca4388e
continued implementation of lambda-lifting in Metis
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changeset
|
160 |
| get_isa_thm _ (Isa_Raw ith) = |
45514 | 161 |
ith |> lam_trans = lam_liftingN |
45511
9b0f8ca4388e
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parents:
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diff
changeset
|
162 |
? introduce_lambda_wrappers_in_theorem ctxt |
43159
29b55f292e0b
added support for helpers in new Metis, so far only for polymorphic type encodings
blanchet
parents:
43136
diff
changeset
|
163 |
val axioms = axioms |> map (fn (mth, ith) => (mth, get_isa_thm mth ith)) |
45042
89341b897412
better type reconstruction -- prevents ill-instantiations in proof replay
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44934
diff
changeset
|
164 |
val _ = trace_msg ctxt (fn () => "THEOREM CLAUSES") |
89341b897412
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parents:
44934
diff
changeset
|
165 |
val _ = app (fn (_, th) => trace_msg ctxt (fn () => Display.string_of_thm ctxt th)) axioms |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
166 |
val _ = trace_msg ctxt (fn () => "CLAUSES GIVEN TO METIS") |
43159
29b55f292e0b
added support for helpers in new Metis, so far only for polymorphic type encodings
blanchet
parents:
43136
diff
changeset
|
167 |
val thms = axioms |> map fst |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
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parents:
39964
diff
changeset
|
168 |
val _ = app (fn th => trace_msg ctxt (fn () => Metis_Thm.toString th)) thms |
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
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diff
changeset
|
169 |
val _ = trace_msg ctxt (fn () => "START METIS PROVE PROCESS") |
32956 | 170 |
in |
43159
29b55f292e0b
added support for helpers in new Metis, so far only for polymorphic type encodings
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|
171 |
case filter (fn t => prop_of t aconv @{prop False}) cls of |
29b55f292e0b
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|
172 |
false_th :: _ => [false_th RS @{thm FalseE}] |
32956 | 173 |
| [] => |
44588 | 174 |
case Metis_Resolution.new resolution_params |
44411
e3629929b171
change Metis's default settings if type information axioms are generated
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|
175 |
{axioms = thms, conjecture = []} |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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|
176 |
|> Metis_Resolution.loop of |
39419
c9accfd621a5
"Metis." -> "Metis_" to reflect change in "metis.ML"
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|
177 |
Metis_Resolution.Contradiction mth => |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
178 |
let val _ = trace_msg ctxt (fn () => "METIS RECONSTRUCTION START: " ^ |
39419
c9accfd621a5
"Metis." -> "Metis_" to reflect change in "metis.ML"
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diff
changeset
|
179 |
Metis_Thm.toString mth) |
32956 | 180 |
val ctxt' = fold Variable.declare_constraints (map prop_of cls) ctxt |
181 |
(*add constraints arising from converting goal to clause form*) |
|
39419
c9accfd621a5
"Metis." -> "Metis_" to reflect change in "metis.ML"
blanchet
parents:
39376
diff
changeset
|
182 |
val proof = Metis_Proof.proof mth |
43094 | 183 |
val result = |
43212 | 184 |
axioms |
45508 | 185 |
|> fold (replay_one_inference ctxt' type_enc concealed sym_tab) proof |
43134
0c82e00ba63e
make sure no warnings are given for polymorphic facts where we use a monomorphic instance
blanchet
parents:
43133
diff
changeset
|
186 |
val used = map_filter (used_axioms axioms) proof |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
187 |
val _ = trace_msg ctxt (fn () => "METIS COMPLETED...clauses actually used:") |
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
188 |
val _ = app (fn th => trace_msg ctxt (fn () => Display.string_of_thm ctxt th)) used |
43134
0c82e00ba63e
make sure no warnings are given for polymorphic facts where we use a monomorphic instance
blanchet
parents:
43133
diff
changeset
|
189 |
val names = th_cls_pairs |> map fst |
0c82e00ba63e
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blanchet
parents:
43133
diff
changeset
|
190 |
val used_names = |
0c82e00ba63e
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parents:
43133
diff
changeset
|
191 |
th_cls_pairs |
0c82e00ba63e
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blanchet
parents:
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diff
changeset
|
192 |
|> map_filter (fn (name, (_, cls)) => |
0c82e00ba63e
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parents:
43133
diff
changeset
|
193 |
if have_common_thm used cls then SOME name |
0c82e00ba63e
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parents:
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diff
changeset
|
194 |
else NONE) |
0c82e00ba63e
make sure no warnings are given for polymorphic facts where we use a monomorphic instance
blanchet
parents:
43133
diff
changeset
|
195 |
val unused_names = names |> subtract (op =) used_names |
32956 | 196 |
in |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39494
diff
changeset
|
197 |
if not (null cls) andalso not (have_common_thm used cls) then |
42650
552eae49f97d
reintroduce this idea of running "metisFT" after a failed "metis" -- I took it out in e85ce10cef1a because I couldn't think of a reasonable use case, but now that ATPs use sound encodings and include dangerous facts (e.g. True_or_False) it makes more sense than ever to run "metisFT" after "metis"
blanchet
parents:
42616
diff
changeset
|
198 |
verbose_warning ctxt "The assumptions are inconsistent" |
36383 | 199 |
else |
200 |
(); |
|
43134
0c82e00ba63e
make sure no warnings are given for polymorphic facts where we use a monomorphic instance
blanchet
parents:
43133
diff
changeset
|
201 |
if not (null unused_names) then |
0c82e00ba63e
make sure no warnings are given for polymorphic facts where we use a monomorphic instance
blanchet
parents:
43133
diff
changeset
|
202 |
"Unused theorems: " ^ commas_quote unused_names |
0c82e00ba63e
make sure no warnings are given for polymorphic facts where we use a monomorphic instance
blanchet
parents:
43133
diff
changeset
|
203 |
|> verbose_warning ctxt |
36230
43d10a494c91
added warning about inconsistent context to Metis;
blanchet
parents:
36170
diff
changeset
|
204 |
else |
43d10a494c91
added warning about inconsistent context to Metis;
blanchet
parents:
36170
diff
changeset
|
205 |
(); |
32956 | 206 |
case result of |
207 |
(_,ith)::_ => |
|
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
208 |
(trace_msg ctxt (fn () => "Success: " ^ Display.string_of_thm ctxt ith); |
39887
74939e2afb95
second step in introducing the new Skolemizer -- notably, added procedure for discharging Skolem assumptions
blanchet
parents:
39886
diff
changeset
|
209 |
[discharge_skolem_premises ctxt dischargers ith]) |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
210 |
| _ => (trace_msg ctxt (fn () => "Metis: No result"); []) |
32956 | 211 |
end |
39419
c9accfd621a5
"Metis." -> "Metis_" to reflect change in "metis.ML"
blanchet
parents:
39376
diff
changeset
|
212 |
| Metis_Resolution.Satisfiable _ => |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
213 |
(trace_msg ctxt (fn () => "Metis: No first-order proof with the lemmas supplied"); |
43212 | 214 |
if null fallback_type_syss then |
43034
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
blanchet
parents:
42847
diff
changeset
|
215 |
() |
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
blanchet
parents:
42847
diff
changeset
|
216 |
else |
42650
552eae49f97d
reintroduce this idea of running "metisFT" after a failed "metis" -- I took it out in e85ce10cef1a because I couldn't think of a reasonable use case, but now that ATPs use sound encodings and include dangerous facts (e.g. True_or_False) it makes more sense than ever to run "metisFT" after "metis"
blanchet
parents:
42616
diff
changeset
|
217 |
raise METIS ("FOL_SOLVE", |
43034
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
blanchet
parents:
42847
diff
changeset
|
218 |
"No first-order proof with the lemmas supplied"); |
38097
5e4ad2df09f3
revert exception throwing in FOL_SOLVE, since they're not caught anyway
blanchet
parents:
38028
diff
changeset
|
219 |
[]) |
42733
01ef1c3d9cfd
more robust exception handling in Metis (also works if there are several subgoals)
blanchet
parents:
42650
diff
changeset
|
220 |
end |
01ef1c3d9cfd
more robust exception handling in Metis (also works if there are several subgoals)
blanchet
parents:
42650
diff
changeset
|
221 |
handle METIS (loc, msg) => |
43212 | 222 |
case fallback_type_syss of |
43034
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
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parents:
42847
diff
changeset
|
223 |
[] => error ("Failed to replay Metis proof in Isabelle." ^ |
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
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parents:
42847
diff
changeset
|
224 |
(if Config.get ctxt verbose then "\n" ^ loc ^ ": " ^ msg |
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
blanchet
parents:
42847
diff
changeset
|
225 |
else "")) |
43303
c4ea897a5326
added a really fully typed translation as a fallback for Metis, in rare cases where Metis correctly proves a theorem but has type-unsound steps in it (which is likelier to happen with some of the lighter translations)
blanchet
parents:
43301
diff
changeset
|
226 |
| _ => |
43228
2ed2f092e990
obsoleted "metisFT", and added "no_types" version of Metis as fallback to Sledgehammer after noticing how useful it can be
blanchet
parents:
43212
diff
changeset
|
227 |
(verbose_warning ctxt |
2ed2f092e990
obsoleted "metisFT", and added "no_types" version of Metis as fallback to Sledgehammer after noticing how useful it can be
blanchet
parents:
43212
diff
changeset
|
228 |
("Falling back on " ^ |
45514 | 229 |
quote (method_call_for fallback_type_syss lam_trans) ^ "..."); |
230 |
FOL_SOLVE fallback_type_syss lam_trans ctxt cls ths0) |
|
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
231 |
|
45508 | 232 |
fun neg_clausify ctxt combinators = |
38028 | 233 |
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
|
234 |
#> Meson.make_clauses_unsorted ctxt |
45508 | 235 |
#> combinators ? map Meson_Clausify.introduce_combinators_in_theorem |
38028 | 236 |
#> Meson.finish_cnf |
237 |
||
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
|
238 |
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
|
239 |
(if exists (Meson.has_too_many_clauses ctxt) |
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
|
240 |
(Logic.prems_of_goal (prop_of st0) 1) then |
42336
d63d43e85879
improve definitional CNF on goal by moving "not" past the quantifiers
blanchet
parents:
40665
diff
changeset
|
241 |
Simplifier.full_simp_tac (Meson_Clausify.ss_only @{thms not_all not_ex}) 1 |
d63d43e85879
improve definitional CNF on goal by moving "not" past the quantifiers
blanchet
parents:
40665
diff
changeset
|
242 |
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
|
243 |
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
|
244 |
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
|
245 |
|
38652
e063be321438
perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38632
diff
changeset
|
246 |
val type_has_top_sort = |
e063be321438
perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38632
diff
changeset
|
247 |
exists_subtype (fn TFree (_, []) => true | TVar (_, []) => true | _ => false) |
e063be321438
perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38632
diff
changeset
|
248 |
|
45514 | 249 |
fun generic_metis_tac type_syss lam_trans ctxt ths i st0 = |
37926
e6ff246c0cdb
renamings + only need second component of name pool to reconstruct proofs
blanchet
parents:
37925
diff
changeset
|
250 |
let |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
251 |
val _ = trace_msg ctxt (fn () => |
43194 | 252 |
"Metis called with theorems\n" ^ |
43034
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
blanchet
parents:
42847
diff
changeset
|
253 |
cat_lines (map (Display.string_of_thm ctxt) ths)) |
45508 | 254 |
fun tac clause = |
45514 | 255 |
resolve_tac (FOL_SOLVE type_syss lam_trans ctxt clause ths) 1 |
32956 | 256 |
in |
37626
1146291fe718
move blacklisting completely out of the clausifier;
blanchet
parents:
37625
diff
changeset
|
257 |
if exists_type type_has_top_sort (prop_of st0) then |
43299
f78d5f0818a0
be a bit more liberal with respect to the universal sort -- it sometimes help
blanchet
parents:
43298
diff
changeset
|
258 |
verbose_warning ctxt "Proof state contains the universal sort {}" |
35568
8fbbfc39508f
renamed type_has_empty_sort to type_has_topsort -- {} is the full universal sort;
wenzelm
parents:
34087
diff
changeset
|
259 |
else |
43299
f78d5f0818a0
be a bit more liberal with respect to the universal sort -- it sometimes help
blanchet
parents:
43298
diff
changeset
|
260 |
(); |
45508 | 261 |
Meson.MESON (preskolem_tac ctxt) |
45514 | 262 |
(maps (neg_clausify ctxt (lam_trans = combinatorsN))) tac ctxt i st0 |
32956 | 263 |
end |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
264 |
|
43303
c4ea897a5326
added a really fully typed translation as a fallback for Metis, in rare cases where Metis correctly proves a theorem but has type-unsound steps in it (which is likelier to happen with some of the lighter translations)
blanchet
parents:
43301
diff
changeset
|
265 |
fun metis_tac [] = generic_metis_tac partial_type_syss |
43212 | 266 |
| metis_tac type_syss = generic_metis_tac type_syss |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
267 |
|
38632
9cde57cdd0e3
treat "using X by metis" (more or less) the same as "by (metis X)"
blanchet
parents:
38614
diff
changeset
|
268 |
(* Whenever "X" has schematic type variables, we treat "using X by metis" as |
43100 | 269 |
"by (metis X)" to prevent "Subgoal.FOCUS" from freezing the type variables. |
38632
9cde57cdd0e3
treat "using X by metis" (more or less) the same as "by (metis X)"
blanchet
parents:
38614
diff
changeset
|
270 |
We don't do it for nonschematic facts "X" because this breaks a few proofs |
9cde57cdd0e3
treat "using X by metis" (more or less) the same as "by (metis X)"
blanchet
parents:
38614
diff
changeset
|
271 |
(in the rare and subtle case where a proof relied on extensionality not being |
38994 | 272 |
applied) and brings few benefits. *) |
38632
9cde57cdd0e3
treat "using X by metis" (more or less) the same as "by (metis X)"
blanchet
parents:
38614
diff
changeset
|
273 |
val has_tvar = |
9cde57cdd0e3
treat "using X by metis" (more or less) the same as "by (metis X)"
blanchet
parents:
38614
diff
changeset
|
274 |
exists_type (exists_subtype (fn TVar _ => true | _ => false)) o prop_of |
43034
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
blanchet
parents:
42847
diff
changeset
|
275 |
|
45514 | 276 |
fun method default_type_syss ((override_type_syss, lam_trans), ths) ctxt facts = |
43100 | 277 |
let |
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2ed2f092e990
obsoleted "metisFT", and added "no_types" version of Metis as fallback to Sledgehammer after noticing how useful it can be
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val _ = |
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c4ea897a5326
added a really fully typed translation as a fallback for Metis, in rare cases where Metis correctly proves a theorem but has type-unsound steps in it (which is likelier to happen with some of the lighter translations)
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parents:
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if default_type_syss = full_type_syss then |
44052 | 280 |
legacy_feature "Old \"metisFT\" method -- use \"metis (full_types)\" instead" |
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2ed2f092e990
obsoleted "metisFT", and added "no_types" version of Metis as fallback to Sledgehammer after noticing how useful it can be
blanchet
parents:
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changeset
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281 |
else |
2ed2f092e990
obsoleted "metisFT", and added "no_types" version of Metis as fallback to Sledgehammer after noticing how useful it can be
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parents:
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() |
43100 | 283 |
val (schem_facts, nonschem_facts) = List.partition has_tvar facts |
43303
c4ea897a5326
added a really fully typed translation as a fallback for Metis, in rare cases where Metis correctly proves a theorem but has type-unsound steps in it (which is likelier to happen with some of the lighter translations)
blanchet
parents:
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diff
changeset
|
284 |
val type_syss = override_type_syss |> the_default default_type_syss |
45514 | 285 |
val lam_trans = lam_trans |> the_default default_lam_trans |
43100 | 286 |
in |
43099 | 287 |
HEADGOAL (Method.insert_tac nonschem_facts THEN' |
45514 | 288 |
CHANGED_PROP o generic_metis_tac type_syss lam_trans ctxt |
289 |
(schem_facts @ ths)) |
|
43099 | 290 |
end |
43100 | 291 |
|
45514 | 292 |
fun consider_arg s = |
293 |
if member (op =) lam_transs s then |
|
294 |
apsnd (K (SOME s)) |
|
295 |
else |
|
296 |
apfst (K (SOME (AList.lookup (op =) type_enc_aliases s |> the_default [s]))) |
|
297 |
||
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fun setup_method (binding, type_syss) = |
45514 | 299 |
(Scan.lift (Scan.optional |
300 |
(Args.parens (Parse.short_ident |
|
301 |
-- Scan.option (Parse.$$$ "," |-- Parse.short_ident)) |
|
302 |
>> (fn (s, s') => |
|
303 |
(NONE, NONE) |
|
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|> consider_arg s |
|
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|> (case s' of SOME s' => consider_arg s' | _ => I))) |
|
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(NONE, NONE))) |
|
43212 | 307 |
-- Attrib.thms >> (METHOD oo method type_syss) |
43228
2ed2f092e990
obsoleted "metisFT", and added "no_types" version of Metis as fallback to Sledgehammer after noticing how useful it can be
blanchet
parents:
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changeset
|
308 |
|> Method.setup binding |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
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309 |
|
32956 | 310 |
val setup = |
43303
c4ea897a5326
added a really fully typed translation as a fallback for Metis, in rare cases where Metis correctly proves a theorem but has type-unsound steps in it (which is likelier to happen with some of the lighter translations)
blanchet
parents:
43301
diff
changeset
|
311 |
[((@{binding metis}, partial_type_syss), |
43228
2ed2f092e990
obsoleted "metisFT", and added "no_types" version of Metis as fallback to Sledgehammer after noticing how useful it can be
blanchet
parents:
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diff
changeset
|
312 |
"Metis for FOL and HOL problems"), |
43303
c4ea897a5326
added a really fully typed translation as a fallback for Metis, in rare cases where Metis correctly proves a theorem but has type-unsound steps in it (which is likelier to happen with some of the lighter translations)
blanchet
parents:
43301
diff
changeset
|
313 |
((@{binding metisFT}, full_type_syss), |
43212 | 314 |
"Metis for FOL/HOL problems with fully-typed translation")] |
43034
18259246abb5
try both "metis" and (on failure) "metisFT" in replay
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parents:
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diff
changeset
|
315 |
|> fold (uncurry setup_method) |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
316 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
317 |
end; |