(* Author: Jia Meng, Cambridge University Computer Laboratory
ID: $Id$
Copyright 2004 University of Cambridge
ATPs with TPTP format input.
*)
signature RES_ATP =
sig
val axiom_file : Path.T
val full_spass: bool ref
val spass: bool ref
val vampire: bool ref
val custom_spass: string list ref
val hook_count: int ref
end;
structure ResAtp: RES_ATP =
struct
val call_atp = ref false;
val hook_count = ref 0;
fun debug_tac tac = (debug "testing"; tac);
val vampire = ref false; (* use Vampire as default prover? *)
val spass = ref true; (* use spass as default prover *)
val full_spass = ref true; (*specifies Auto mode: SPASS can use all inference rules*)
val custom_spass = (*specialized options for SPASS*)
ref ["Auto=0","-IORe","-IOFc","-RTaut","-RFSub","-RBSub",
"-DocProof","-TimeLimit=60"];
val axiom_file = File.tmp_path (Path.basic "axioms");
val hyps_file = File.tmp_path (Path.basic "hyps");
val prob_file = File.tmp_path (Path.basic "prob");
(**** 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;
(*********************************************************************)
(* 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 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 axclauses =
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 (List.concat (map ResClause.tptp_clause axclauses));
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 axclauses =
let val clss = map (ResClause.make_conjecture_clause_thm) thms
val probfile = (File.platform_path prob_file) ^ "_" ^ (string_of_int n)
val _ = debug ("about to write out dfg prob file " ^ probfile)
(*val (dfg_clss,tfree_litss) = ListPair.unzip (map ResClause.clause2dfg clss)
val tfree_clss = map ResClause.tfree_dfg_clause ((ResLib.flat_noDup tfree_litss) \\ tfrees) *)
val probN = ResClause.clauses2dfg clss ("prob" ^ (string_of_int n))
axclauses [] [] [] tfrees
val out = TextIO.openOut(probfile)
in
(ResLib.writeln_strs out [probN]; TextIO.closeOut out; debug probfile )
(* (ResLib.writeln_strs out (tfree_clss @ dfg_clss); *)
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)
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 !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, axfile, hypsfile, probfile)] @
(make_atp_list xs sign (n+1)))
end
else if !vampire
then
let val vampire = ResLib.helper_path "VAMPIRE_HOME" "vkernel"
in
([("vampire", thmstr, goalstring, vampire, "-t 60%-m 100000",
axfile, hypsfile, probfile)] @
(make_atp_list xs sign (n+1)))
end
else
let val Eprover = ResLib.helper_path "E_HOME" "eproof"
in
([("E", thmstr, goalstring, Eprover, "--tptp-in -l5",
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!";
all_tac
end
(**********************************************************)
(* write out the current subgoal as a tptp file, probN, *)
(* then call all_tac - should be call_res_tac *)
(**********************************************************)
fun get_sko_thms tfrees sign sg_terms (childin, childout,pid) thm n sko_thms axclauses =
if n=0 then
(call_resolve_tac (rev sko_thms)
sign sg_terms (childin, childout, pid) (List.length sg_terms);
all_tac thm)
else
( SELECT_GOAL
(EVERY1 [rtac ccontr, ResLib.atomize_tac, skolemize_tac,
METAHYPS(fn negs =>
(if !spass
then dfg_inputs_tfrees (make_clauses negs) n tfrees axclauses
else tptp_inputs_tfrees (make_clauses negs) n tfrees axclauses;
get_sko_thms tfrees sign sg_terms (childin, childout, pid)
thm (n -1) (negs::sko_thms) axclauses;
all_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) axclauses =
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 [] axclauses
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) axclauses =
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) axclauses
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, axclauses) =
ResClasimp.get_clasimp_lemmas thy (hd prems) (*FIXME: hack!! need to do all prems*)
val _ = debug ("claset and simprules total " ^ (string_of_int num_of_clauses)^ " clauses")
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) axclauses;
()
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 *)
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 invoke_atp = Toplevel.unknown_proof o Toplevel.keep (fn state =>
let
val proof = Toplevel.proof_of state
val (ctxt, (_, goal)) = Proof.get_goal proof
handle Proof.STATE _ => error "No goal present";
val thy = ProofContext.theory_of ctxt;
(* FIXME presently unused *)
val ss_thms = subtract_simpset thy ctxt;
val cs_thms = subtract_claset thy ctxt;
in
debug ("initial thm in isar_atp: " ^
Pretty.string_of (ProofContext.pretty_thm ctxt goal));
debug ("subgoals in isar_atp: " ^
Pretty.string_of (ProofContext.pretty_term ctxt
(Logic.mk_conjunction_list (Thm.prems_of goal))));
debug ("number of subgoals in isar_atp: " ^ string_of_int (Thm.nprems_of goal));
hook_count := !hook_count +1;
debug ("in hook for time: " ^(string_of_int (!hook_count)) );
ResClause.init thy;
isar_atp' (ctxt, ProofContext.prems_of ctxt, goal)
end);
val call_atpP =
OuterSyntax.improper_command
"ProofGeneral.call_atp"
"call automatic theorem provers"
OuterKeyword.diag
(Scan.succeed (Toplevel.no_timing o invoke_atp));
val _ = OuterSyntax.add_parsers [call_atpP];
end;