fine-tuned Isar reconstruction, esp. boolean simplifications
(* Title: HOL/Tools/SMT2/verit_isar.ML
Author: Mathias Fleury, TU Muenchen
Author: Jasmin Blanchette, TU Muenchen
VeriT proofs as generic ATP proofs for Isar proof reconstruction.
*)
signature VERIT_ISAR =
sig
type ('a, 'b) atp_step = ('a, 'b) ATP_Proof.atp_step
val atp_proof_of_veriT_proof: Proof.context -> term list -> thm list -> term list -> term ->
(string * term) list -> int list -> int -> (int * string) list -> VeriT_Proof.veriT_step list ->
(term, string) ATP_Proof.atp_step list
end;
structure VeriT_Isar: VERIT_ISAR =
struct
open ATP_Util
open ATP_Problem
open ATP_Proof
open ATP_Proof_Reconstruct
open SMTLIB2_Isar
open VeriT_Proof
fun atp_proof_of_veriT_proof ctxt ll_defs rewrite_rules hyp_ts concl_t fact_helper_ts prem_ids
conjecture_id fact_helper_ids proof =
let
val thy = Proof_Context.theory_of ctxt
fun steps_of (VeriT_Proof.VeriT_Step {id, rule, prems, concl, ...}) =
let
val concl' = postprocess_step_conclusion thy rewrite_rules ll_defs concl
fun standard_step role = ((id, []), role, concl', rule, map (fn id => (id, [])) prems)
in
if rule = veriT_input_rule then
let val ss = the_list (AList.lookup (op =) fact_helper_ids (the (Int.fromString id))) in
(case distinguish_conjecture_and_hypothesis ss (the (Int.fromString id))
conjecture_id prem_ids fact_helper_ts hyp_ts concl_t of
NONE => []
| SOME (role0, concl00) =>
let
val name0 = (id ^ "a", ss)
val concl0 = unskolemize_names concl00
in
[(name0, role0, concl0, rule, []),
((id, []), Plain, concl', veriT_rewrite_rule,
name0 :: normalizing_prems ctxt concl0)]
end)
end
else if rule = veriT_tmp_ite_elim_rule then
[standard_step Lemma]
else
[standard_step Plain]
end
in
maps steps_of proof
end
end;