(* Title: HOL/Tools/SMT/verit_proof_parse.ML
Author: Mathias Fleury, TU Muenchen
Author: Jasmin Blanchette, TU Muenchen
VeriT proof parsing.
*)
signature VERIT_PROOF_PARSE =
sig
type ('a, 'b) atp_step = ('a, 'b) ATP_Proof.atp_step
val parse_proof: SMT_Translate.replay_data ->
((string * ATP_Problem_Generate.stature) * thm) list -> term list -> term -> string list ->
SMT_Solver.parsed_proof
end;
structure VeriT_Proof_Parse: VERIT_PROOF_PARSE =
struct
open ATP_Util
open ATP_Problem
open ATP_Proof
open ATP_Proof_Reconstruct
open VeriT_Isar
open VeriT_Proof
fun add_used_asserts_in_step (VeriT_Proof.VeriT_Step {prems, ...}) =
union (op =) (map_filter (try SMTLIB_Interface.assert_index_of_name) prems)
fun parse_proof
({context = ctxt, typs, terms, ll_defs, rewrite_rules, assms} : SMT_Translate.replay_data)
xfacts prems concl output =
let
val num_ll_defs = length ll_defs
val id_of_index = Integer.add num_ll_defs
val index_of_id = Integer.add (~ num_ll_defs)
fun step_of_assume j (_, th) =
VeriT_Proof.VeriT_Step {id = SMTLIB_Interface.assert_name_of_index (id_of_index j),
rule = veriT_input_rule, prems = [], concl = Thm.prop_of th, fixes = []}
val (actual_steps, _) = VeriT_Proof.parse typs terms output ctxt
val used_assert_ids = fold add_used_asserts_in_step actual_steps []
val used_assm_js =
map_filter (fn id => let val i = index_of_id id in if i >= 0 then SOME i else NONE end)
used_assert_ids
val used_assms = map (nth assms) used_assm_js
val assm_steps = map2 step_of_assume used_assm_js used_assms
val steps = assm_steps @ actual_steps
val conjecture_i = 0
val prems_i = conjecture_i + 1
val num_prems = length prems
val facts_i = prems_i + num_prems
val num_facts = length xfacts
val helpers_i = facts_i + num_facts
val conjecture_id = id_of_index conjecture_i
val prem_ids = map id_of_index (prems_i upto prems_i + num_prems - 1)
val fact_ids' =
map_filter (fn j =>
let val (i, _) = nth assms j in
try (apsnd (nth xfacts)) (id_of_index j, i - facts_i)
end) used_assm_js
val helper_ids' = filter (fn (i, _) => i >= helpers_i) used_assms
val fact_helper_ts =
map (fn (_, th) => (ATP_Util.short_thm_name ctxt th, Thm.prop_of th)) helper_ids' @
map (fn (_, ((s, _), th)) => (s, Thm.prop_of th)) fact_ids'
val fact_helper_ids' =
map (apsnd (ATP_Util.short_thm_name ctxt)) helper_ids' @ map (apsnd (fst o fst)) fact_ids'
in
{outcome = NONE, fact_ids = SOME fact_ids',
atp_proof = fn () => atp_proof_of_veriT_proof ctxt ll_defs rewrite_rules prems concl
fact_helper_ts prem_ids conjecture_id fact_helper_ids' steps}
end
end;