(* Author: Jia Meng, Cambridge University Computer Laboratory
ID: $Id$
Copyright 2004 University of Cambridge
ATPs with TPTP format input.
*)
signature RES_ATP =
sig
val call_atp: bool ref
val axiom_file : Path.T
val hyps_file : Path.T
val prob_file : Path.T;
(*val atp_ax_tac : thm list -> int -> Tactical.tactic*)
(*val atp_tac : int -> Tactical.tactic*)
val full_spass: bool ref
(*val spass: bool ref*)
val vampire: bool ref
val custom_spass: string list ref
end;
structure ResAtp: RES_ATP =
struct
val call_atp = ref false;
fun debug_tac tac = (debug "testing"; tac);
val full_spass = ref false;
(* use spass as default prover *)
(*val spass = ref true;*)
val custom_spass = ref ["Auto=0","-IORe","-IOFc","-RTaut","-RFSub","-RBSub","-DocProof","-TimeLimit=60"];
val vampire = ref false;
val skolem_tac = skolemize_tac;
val num_of_clauses = ref 0;
val clause_arr = Array.array (3500, ("empty", 0));
val atomize_tac =
SUBGOAL
(fn (prop,_) =>
let val ts = Logic.strip_assums_hyp prop
in EVERY1
[METAHYPS
(fn hyps => (cut_facts_tac (map (ObjectLogic.atomize_thm o forall_intr_vars) hyps) 1)),
REPEAT_DETERM_N (length ts) o (etac thin_rl)]
end);
(* temporarily use these files, which will be loaded by Vampire *)
val file_id_num = ref 0;
fun new_prob_file () = "prob" ^ string_of_int (inc file_id_num);
val axiom_file = File.tmp_path (Path.basic "axioms");
val clasimp_file = File.tmp_path (Path.basic "clasimp");
val hyps_file = File.tmp_path (Path.basic "hyps");
val prob_file = File.tmp_path (Path.basic "prob");
val dummy_tac = all_tac;
(**** for Isabelle/ML interface ****)
(*Remove unwanted characters such as ? and newline from the textural
representation of a theorem (surely they don't need to be produced in
the first place?) *)
fun is_proof_char ch = (#" " <= ch andalso ch <= #"~" andalso ch <> #"?");
val proofstring =
String.translate (fn c => if is_proof_char c then str c else "");
(**** For running in Isar ****)
(* same function as that in res_axioms.ML *)
fun repeat_RS thm1 thm2 =
let val thm1' = thm1 RS thm2 handle THM _ => thm1
in
if eq_thm(thm1,thm1') then thm1' else (repeat_RS thm1' thm2)
end;
(* a special version of repeat_RS *)
fun repeat_someI_ex thm = repeat_RS thm someI_ex;
(*FIXME: is function isar_atp_h used? If not, delete!*)
(*********************************************************************)
(* convert clauses from "assume" to conjecture. write to file "hyps" *)
(* hypotheses of the goal currently being proved *)
(*********************************************************************)
(*perhaps have 2 different versions of this, depending on whether or not SpassComm.spass is set *)
fun isar_atp_h thms =
let val prems = map (skolemize o make_nnf o ObjectLogic.atomize_thm) thms
val prems' = map repeat_someI_ex prems
val prems'' = make_clauses prems'
val prems''' = ResAxioms.rm_Eps [] prems''
val clss = map ResClause.make_conjecture_clause prems'''
val (tptp_clss,tfree_litss) = ListPair.unzip (map ResClause.clause2tptp clss)
val tfree_lits = ResLib.flat_noDup tfree_litss
(* tfree clause is different in tptp and dfg versions *)
val tfree_clss = map ResClause.tfree_clause tfree_lits
val hypsfile = File.platform_path hyps_file
val out = TextIO.openOut(hypsfile)
in
ResLib.writeln_strs out (tfree_clss @ tptp_clss);
TextIO.closeOut out; debug hypsfile;
tfree_lits
end;
(*********************************************************************)
(* write out a subgoal as tptp clauses to the file "probN" *)
(* where N is the number of this subgoal *)
(*********************************************************************)
fun tptp_inputs_tfrees thms n tfrees =
let
val _ = debug ("in tptp_inputs_tfrees 0")
val clss = map (ResClause.make_conjecture_clause_thm) thms
val _ = debug ("in tptp_inputs_tfrees 1")
val (tptp_clss,tfree_litss) = ListPair.unzip (map ResClause.clause2tptp clss)
val _ = debug ("in tptp_inputs_tfrees 2")
val tfree_clss = map ResClause.tfree_clause ((ResLib.flat_noDup tfree_litss) \\ tfrees)
val _ = debug ("in tptp_inputs_tfrees 3")
val probfile = File.platform_path prob_file ^ "_" ^ string_of_int n
val out = TextIO.openOut(probfile)
in
ResLib.writeln_strs out (tfree_clss @ tptp_clss);
TextIO.closeOut out;
debug probfile
end;
(*********************************************************************)
(* write out a subgoal as DFG clauses to the file "probN" *)
(* where N is the number of this subgoal *)
(*********************************************************************)
(*
fun dfg_inputs_tfrees thms n tfrees =
let val _ = (debug ("in dfg_inputs_tfrees 0"))
val clss = map (ResClause.make_conjecture_clause_thm) thms
val _ = (debug ("in dfg_inputs_tfrees 1"))
val (dfg_clss,tfree_litss) = ListPair.unzip (map ResClause.clause2dfg clss)
val _ = (debug ("in dfg_inputs_tfrees 2"))
val tfree_clss = map ResClause.tfree_clause ((ResLib.flat_noDup tfree_litss) \\ tfrees)
val _ = (debug ("in dfg_inputs_tfrees 3"))
val probfile = (File.platform_path prob_file) ^ "_" ^ (string_of_int n)
val out = TextIO.openOut(probfile)
in
(ResLib.writeln_strs out (tfree_clss @ dfg_clss); TextIO.closeOut out; debug probfile
end;*)
(*********************************************************************)
(* call SPASS with settings and problem file for the current subgoal *)
(* should be modified to allow other provers to be called *)
(*********************************************************************)
(* now passing in list of skolemized thms and list of sgterms to go with them *)
fun call_resolve_tac (thms: thm list list) sign (sg_terms: term list) (childin, childout,pid) n =
let
val axfile = (File.platform_path axiom_file)
val hypsfile = (File.platform_path hyps_file)
val clasimpfile = (File.platform_path clasimp_file)
fun make_atp_list [] sign n = []
| make_atp_list ((sko_thm, sg_term)::xs) sign n =
let
val thmstr = proofstring (Meson.concat_with_and (map string_of_thm sko_thm))
val _ = debug ("thmstring in make_atp_lists is " ^ thmstr)
val goalstring = proofstring (Sign.string_of_term sign sg_term)
val _ = debug ("goalstring in make_atp_lists is " ^ goalstring)
val probfile = File.platform_path prob_file ^ "_" ^ (string_of_int n)
val _ = debug ("prob file in call_resolve_tac is " ^ probfile)
in
if !SpassComm.spass
then
let val optionline = (*Custom SPASS options, or default?*)
if !full_spass (*Auto mode: all SPASS inference rules*)
then "-DocProof%-TimeLimit=60%-SOS"
else "-" ^ space_implode "%-" (!custom_spass)
val _ = debug ("SPASS option string is " ^ optionline)
val _ = ResLib.helper_path "SPASS_HOME" "SPASS"
(*We've checked that SPASS is there for ATP/spassshell to run.*)
in
([("spass", thmstr, goalstring,
getenv "ISABELLE_HOME" ^ "/src/HOL/Tools/ATP/spassshell",
optionline, clasimpfile, axfile, hypsfile, probfile)] @
(make_atp_list xs sign (n+1)))
end
else
let val vampire = ResLib.helper_path "VAMPIRE_HOME" "vkernel"
in
([("vampire", thmstr, goalstring, vampire, "-t 60%-m 100000",
clasimpfile, axfile, hypsfile, probfile)] @
(make_atp_list xs sign (n+1)))
end
end
val atp_list = make_atp_list (ListPair.zip (thms, sg_terms)) sign 1
in
Watcher.callResProvers(childout,atp_list);
debug "Sent commands to watcher!";
dummy_tac
end
(**********************************************************)
(* write out the current subgoal as a tptp file, probN, *)
(* then call dummy_tac - should be call_res_tac *)
(**********************************************************)
fun get_sko_thms tfrees sign sg_terms (childin, childout, pid) thm n sko_thms =
if n = 0 then
(call_resolve_tac (rev sko_thms)
sign sg_terms (childin, childout, pid) (List.length sg_terms);
dummy_tac thm)
else
SELECT_GOAL
(EVERY1 [rtac ccontr, atomize_tac, skolemize_tac,
METAHYPS (fn negs =>
(tptp_inputs_tfrees (make_clauses negs) n tfrees;
get_sko_thms tfrees sign sg_terms (childin, childout, pid) thm (n - 1)
(negs::sko_thms); dummy_tac))]) n thm;
(**********************************************)
(* recursively call atp_tac_g on all subgoals *)
(* sg_term is the nth subgoal as a term - used*)
(* in proof reconstruction *)
(**********************************************)
fun isar_atp_goal' thm n tfree_lits (childin, childout, pid) =
let
val prems = Thm.prems_of thm
(*val sg_term = get_nth k prems*)
val sign = sign_of_thm thm
val thmstring = string_of_thm thm
in
debug("in isar_atp_goal'");
debug("thmstring in isar_atp_goal': " ^ thmstring);
(* go and call callResProvers with this subgoal *)
(* isar_atp_g tfree_lits sg_term (childin, childout, pid) k thm; *)
(* recursive call to pick up the remaining subgoals *)
(* isar_atp_goal' thm (k+1) n tfree_lits (childin, childout, pid) *)
get_sko_thms tfree_lits sign prems (childin, childout, pid) thm n []
end;
(**************************************************)
(* convert clauses from "assume" to conjecture. *)
(* i.e. apply make_clauses and then get tptp for *)
(* any hypotheses in the goal produced by assume *)
(* statements; *)
(* write to file "hyps" *)
(**************************************************)
fun isar_atp_aux thms thm n_subgoals (childin, childout, pid) =
let val tfree_lits = isar_atp_h thms
in
debug ("in isar_atp_aux");
isar_atp_goal' thm n_subgoals tfree_lits (childin, childout, pid)
end;
(******************************************************************)
(* called in Isar automatically *)
(* writes out the current clasimpset to a tptp file *)
(* passes all subgoals on to isar_atp_aux for further processing *)
(* turns off xsymbol at start of function, restoring it at end *)
(******************************************************************)
(*FIX changed to clasimp_file *)
val isar_atp' = setmp print_mode [] (fn (ctxt, thms, thm) =>
if Thm.no_prems thm then ()
else
let
val _= debug ("in isar_atp'")
val thy = ProofContext.theory_of ctxt
val prems = Thm.prems_of thm
val thms_string = Meson.concat_with_and (map string_of_thm thms)
val thm_string = string_of_thm thm
val prems_string = Meson.concat_with_and (map (Sign.string_of_term thy) prems)
(*set up variables for writing out the clasimps to a tptp file*)
val (clause_arr, num_of_clauses) =
ResClasimp.write_out_clasimp (File.platform_path clasimp_file) thy
(hd prems) (*FIXME: hack!! need to do all prems*)
val _ = debug ("clasimp_file is " ^ File.platform_path clasimp_file)
val (childin, childout, pid) = Watcher.createWatcher (thm, clause_arr, num_of_clauses)
val pid_string =
string_of_int (Word.toInt (Word.fromLargeWord (Posix.Process.pidToWord pid)))
in
debug ("initial thms: " ^ thms_string);
debug ("initial thm: " ^ thm_string);
debug ("subgoals: " ^ prems_string);
debug ("pid: "^ pid_string);
isar_atp_aux thms thm (length prems) (childin, childout, pid);
()
end);
fun get_thms_cs claset =
let val {safeEs, safeIs, hazEs, hazIs, ...} = rep_cs claset
in safeEs @ safeIs @ hazEs @ hazIs end;
fun append_name name [] _ = []
| append_name name (thm :: thms) k =
Thm.name_thm ((name ^ "_" ^ string_of_int k), thm) :: append_name name thms (k + 1);
fun append_names (name :: names) (thms :: thmss) =
append_name name thms 0 :: append_names names thmss;
fun get_thms_ss [] = []
| get_thms_ss thms =
let
val names = map Thm.name_of_thm thms
val thms' = map (mksimps mksimps_pairs) thms
val thms'' = append_names names thms'
in
ResLib.flat_noDup thms''
end;
(* convert locally declared rules to axiom clauses *)
(* write axiom clauses to ax_file *)
(* what about clasimpset - it should already be in the ax file - perhaps append to ax file rather than just *)
(* write out ? Or keep as a separate file and then cat them all together in the watcher, like we do with the *)
(*claset file and prob file*)
(* FIX*)
(*fun isar_local_thms (delta_cs, delta_ss_thms) =
let val thms_cs = get_thms_cs delta_cs
val thms_ss = get_thms_ss delta_ss_thms
val thms_clauses = ResLib.flat_noDup (map ResAxioms.clausify_axiom (thms_cs @ thms_ss))
val clauses_strs = ResLib.flat_noDup (map ResClause.tptp_clause thms_clauses) (*string list*)
val ax_file = File.platform_path axiom_file
val out = TextIO.openOut ax_file
in
ResLib.writeln_strs out clauses_strs;
debug ("axiom file is "^ax_file));
TextIO.closeOut out
end;
*)
fun subtract_simpset thy ctxt =
let
val rules1 = #rules (#1 (rep_ss (simpset_of thy)));
val rules2 = #rules (#1 (rep_ss (local_simpset_of ctxt)));
in map #thm (Net.subtract MetaSimplifier.eq_rrule rules1 rules2) end;
fun subtract_claset thy ctxt =
let
val (netI1, netE1) = #xtra_netpair (rep_cs (claset_of thy));
val (netI2, netE2) = #xtra_netpair (rep_cs (local_claset_of ctxt));
val subtract = map (#2 o #2) oo Net.subtract Tactic.eq_kbrl;
in subtract netI1 netI2 @ subtract netE1 netE2 end;
(** the Isar toplevel hook **)
val _ = Toplevel.print_state_hook (fn _ => fn state =>
let
val _ = if ! call_atp then () else raise Toplevel.UNDEF;
val prf =
(case Toplevel.node_of state of Toplevel.Proof prf => prf | _ => raise Toplevel.UNDEF);
val _ = Proof.assert_backward (the (ProofHistory.previous prf));
val proof = Proof.assert_forward (ProofHistory.current prf);
val (ctxt, (_, goal)) = Proof.get_goal proof;
val thy = ProofContext.theory_of ctxt;
val prems_string = Meson.concat_with_and (map (Sign.string_of_term thy) (Thm.prems_of goal));
(* FIXME presently unused *)
val ss_thms = subtract_simpset thy ctxt;
val cs_thms = subtract_claset thy ctxt;
in
debug ("initial thm in isar_atp: " ^ string_of_thm goal);
debug ("subgoals in isar_atp: " ^ prems_string);
debug ("number of subgoals in isar_atp: " ^ string_of_int (Thm.nprems_of goal));
ResClause.init thy;
isar_atp' (ctxt, ProofContext.prems_of ctxt, goal)
end);
end;