src/HOL/Tools/ATP/recon_transfer_proof.ML
author paulson
Thu Apr 21 15:05:24 2005 +0200 (2005-04-21)
changeset 15789 4cb16144c81b
parent 15787 8fad4bd4e53c
child 15817 f79b673da664
permissions -rw-r--r--
added hearder lines and deleted some redundant material
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(*  ID:         $Id$
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    Author:     Claire Quigley
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    Copyright   2004  University of Cambridge
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*)
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(******************)
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(* complete later *)
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(******************)
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structure Recon_Transfer =
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struct
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open Recon_Parse
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infixr 8 ++; infixr 7 >>; infixr 6 ||;
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fun not_newline ch = not (ch = "\n");
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(* Versions that include type information *)
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fun string_of_thm thm = let val _ = set show_sorts
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                                val str = Display.string_of_thm thm
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                                val no_returns =List.filter not_newline (explode str)
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                                val _ = reset show_sorts
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                            in 
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                                implode no_returns
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                            end
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(* check separate args in the watcher program for separating strings with a * or ; or something *)
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fun clause_strs_to_string [] str = str
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|   clause_strs_to_string (x::xs) str = clause_strs_to_string xs (str^x^"%")
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fun thmvars_to_string [] str = str
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|   thmvars_to_string (x::xs) str = thmvars_to_string xs (str^x^"%")
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fun proofstep_to_string Axiom = "Axiom()"
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|   proofstep_to_string  (Binary ((a,b), (c,d)))= "Binary"^"("^"("^(string_of_int a)^","^(string_of_int b)^")"^","^"("^(string_of_int c)^","^(string_of_int d)^")"^")"
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|   proofstep_to_string (Factor (a,b,c)) = "Factor"^"("^(string_of_int a)^","^(string_of_int b)^","^(string_of_int c)^")"
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|   proofstep_to_string  (Para ((a,b), (c,d)))= "Para"^"("^"("^(string_of_int a)^","^(string_of_int b)^")"^","^"("^(string_of_int c)^","^(string_of_int d)^")"^")"
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|   proofstep_to_string  (MRR ((a,b), (c,d)))= "MRR"^"("^"("^(string_of_int a)^","^(string_of_int b)^")"^","^"("^(string_of_int c)^","^(string_of_int d)^")"^")"
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|   proofstep_to_string (Rewrite((a,b),(c,d))) = "Rewrite"^"("^"("^(string_of_int a)^","^(string_of_int b)^")"^","^"("^(string_of_int c)^","^(string_of_int d)^")"^")"
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fun list_to_string [] liststr = liststr
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|   list_to_string (x::[]) liststr = liststr^(string_of_int x)
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|   list_to_string (x::xs) liststr = list_to_string xs (liststr^(string_of_int x)^",")
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fun proof_to_string (num,(step,clause_strs, thmvars)) = (string_of_int num)^(proofstep_to_string step)^"["^(clause_strs_to_string clause_strs "")^"]"^"["^(thmvars_to_string thmvars "")^"]"
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fun proofs_to_string [] str = str
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|   proofs_to_string (x::xs) str = let val newstr = proof_to_string x 
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                                   in
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                                       proofs_to_string xs (str^newstr)
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                                   end
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fun init_proofstep_to_string (num, step, clause_strs) = (string_of_int num)^" "^(proofstep_to_string step)^" "^(clause_strs_to_string clause_strs "")^" "
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fun init_proofsteps_to_string [] str = str
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|   init_proofsteps_to_string (x::xs) str = let val newstr = init_proofstep_to_string x 
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                                   in
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                                       init_proofsteps_to_string xs (str^newstr)
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                                   end
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(*** get a string representing the Isabelle ordered axioms ***)
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fun origAx_to_string (num,(meta,thmvars)) =let val clause_strs = get_meta_lits_bracket meta
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                                         in
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                                            (string_of_int num)^"OrigAxiom()"^"["^(clause_strs_to_string clause_strs "")^"]"^"["^(thmvars_to_string thmvars "")^"]"
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                                         end
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fun  origAxs_to_string [] str = str
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|   origAxs_to_string (x::xs) str = let val newstr = origAx_to_string x 
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                                   in
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                                       origAxs_to_string xs (str^newstr)
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                                   end
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(*** get a string representing the Isabelle ordered axioms not used in the spass proof***)
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fun extraAx_to_string (num, (meta,thmvars)) = let val clause_strs = get_meta_lits_bracket meta
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                                           in
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                                              (string_of_int num)^"ExtraAxiom()"^"["^(clause_strs_to_string clause_strs "")^"]"^"["^(thmvars_to_string thmvars "")^"]"
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                                           end
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fun  extraAxs_to_string [] str = str
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|   extraAxs_to_string (x::xs) str = let val newstr = extraAx_to_string x 
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                                   in
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                                       extraAxs_to_string xs (str^newstr)
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                                   end
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fun is_axiom ( num:int,Axiom, str) = true
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|   is_axiom (num, _,_) = false
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fun get_init_axioms xs = List.filter (is_axiom) ( xs)
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fun get_step_nums [] nums = nums
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|   get_step_nums (( num:int,Axiom, str)::xs) nums = get_step_nums xs (nums@[num])
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exception Noassoc;
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fun assoc_snd a [] = raise Noassoc
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  | assoc_snd a ((x, y)::t) = if a = y then x else assoc_snd a t;
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(* change to be something using check_order  instead of a = y --> returns true if ASSERTION not raised in checkorder, false otherwise *)
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(*fun get_assoc_snds [] xs assocs= assocs
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|   get_assoc_snds (x::xs) ys assocs = get_assoc_snds xs ys (assocs@[((assoc_snd x ys))])
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*)
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(*FIX - should this have vars in it? *)
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fun there_out_of_order xs ys = (checkorder xs ys [] ([],[],[]); true) 
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                               handle _ => false
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fun assoc_out_of_order a [] = raise Noassoc
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|   assoc_out_of_order a ((b,c)::t) = if there_out_of_order a c then b else assoc_out_of_order a t;
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fun get_assoc_snds [] xs assocs= assocs
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|   get_assoc_snds (x::xs) ys assocs = get_assoc_snds xs ys (assocs@[((assoc_out_of_order x ys))])
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fun add_if_not_inlist [] xs newlist = newlist
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|   add_if_not_inlist (y::ys) xs newlist = if (not (inlist y xs)) then 
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                                      add_if_not_inlist ys xs (y::newlist)
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                                        else add_if_not_inlist ys xs (newlist)
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(*Flattens a list of list of strings to one string*)
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fun onestr ls = String.concat (map String.concat ls);
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fun thmstrings [] str = str
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|   thmstrings (x::xs) str = thmstrings xs (str^(string_of_thm x))
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 fun get_axioms_used proof_steps thms = let 
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                                             (*val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_ax_thmstr")))                                                                      
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                                             val _ = TextIO.output (outfile, thmstring)
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                                             val _ =  TextIO.closeOut outfile*)
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                                            (* not sure why this is necessary again, but seems to be *)
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                                            val _=  (print_mode := (Library.gen_rems (op =) (! print_mode, ["xsymbols", "symbols"])))
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                                            val axioms = get_init_axioms proof_steps
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                                            val step_nums = get_step_nums axioms []
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                                            val clauses = make_clauses thms
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                                            val vars = map thm_vars clauses
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                                            val distvars = distinct (fold append vars [])
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                                            val clause_terms = map prop_of clauses  
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                                            val clause_frees = List.concat (map term_frees clause_terms)
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                                            val frees = map lit_string_with_nums clause_frees;
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                                            val distfrees = distinct frees
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                                            val metas = map Meson.make_meta_clause clauses
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                                            val ax_strs = map #3 axioms
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                                            (* literals of -all- axioms, not just those used by spass *)
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                                            val meta_strs = map get_meta_lits metas
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                                            val metas_and_strs = ListPair.zip (metas,meta_strs)
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                                             val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_clauses")));                                                                       
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                                             val _ = TextIO.output (outfile, onestr ax_strs)
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                                             val _ =  TextIO.closeOut outfile
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                                             val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_metastrs")));                                                                       
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                                             val _ = TextIO.output (outfile, onestr meta_strs)
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                                             val _ =  TextIO.closeOut outfile
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                                            (* get list of axioms as thms with their variables *)
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                                            val ax_metas = get_assoc_snds ax_strs metas_and_strs []
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                                            val ax_vars = map thm_vars ax_metas
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                                            val ax_with_vars = ListPair.zip (ax_metas,ax_vars)
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                                            (* get list of extra axioms as thms with their variables *)
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                                            val extra_metas = add_if_not_inlist metas ax_metas []
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                                            val extra_vars = map thm_vars extra_metas
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                                            val extra_with_vars = if (not (extra_metas = []) ) 
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                                                                  then
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 									 ListPair.zip (extra_metas,extra_vars)
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                                                                  else
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                                                                         []
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                                           (* val _=  (print_mode := (Library.gen_rems (op =) (! print_mode, ["xsymbols", "symbols"])))
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                                           val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_metas")))
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                                           val _ = TextIO.output (outfile, ((thmstrings ax_metas "")))
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                                           val _ =  TextIO.closeOut outfile
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                                          val foo_metas =  File.sysify_path(File.tmp_path (Path.basic "foo_metas"))
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                                          val foo_metas2 =   File.sysify_path(File.tmp_path (Path.basic "foo_metas2"))
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                                            val execperl = Unix.execute("/usr/bin/perl", ["remchars.pl", "  <", foo_metas, "  >", foo_metas2])
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                                         val infile = TextIO.openIn(File.sysify_path(File.tmp_path (Path.basic "foo_metas2")))
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                                        val ax_metas_str = TextIO.inputLine (infile)
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                                        val _ = TextIO.closeIn infile
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                                           val _= (print_mode := (["xsymbols", "symbols"] @ ! print_mode))*)
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                                         in
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                                            (distfrees,distvars, extra_with_vars,ax_with_vars, (ListPair.zip (step_nums,ax_metas)))
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                                         end
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fun numclstr (vars, []) str = str
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|   numclstr ( vars, ((num, thm)::rest)) str = let val newstr = str^(string_of_int num)^" "^(string_of_thm thm)^" "
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                               in
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                                   numclstr  (vars,rest) newstr
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                               end
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(*
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val proofstr = "Did parsing on Here is a proof with depth 4, length 9 :\
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\1[0:Inp] || v_P(tconst_fun(typ__da_a,tconst_bool),v_x)*+ -> v_P(tconst_fun(typ__da_a,tconst_bool),U)*.\
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\3[0:Inp] || v_P(tconst_fun(typ__da_a,tconst_bool),U)*+ -> v_P(tconst_fun(typ__da_a,tconst_bool),v_x)*.\
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\5[0:Inp] ||  -> v_P(tconst_fun(typ__da_a,tconst_bool),U)* v_P(tconst_fun(typ__da_a,tconst_bool),v_xa)*.\
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\7[0:Inp] || v_P(tconst_fun(typ__da_a,tconst_bool),U)*+ v_P(tconst_fun(typ__da_a,tconst_bool),v_xb)* -> .\
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\9[0:Fac:5.0,5.1] ||  -> v_P(tconst_fun(typ__da_a,tconst_bool),v_xa)*.\
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\10[0:Res:9.0,3.0] ||  -> v_P(tconst_fun(typ__da_a,tconst_bool),v_x)*.\
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\11[0:Res:10.0,1.0] ||  -> v_P(tconst_fun(typ__da_a,tconst_bool),U)*.\
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\12[0:Fac:7.0,7.1] || v_P(tconst_fun(typ__da_a,tconst_bool),v_xb)* -> .\
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\14[0:Res:11.0,12.0] ||  -> .\
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\Formulae used in the proof :"
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*)
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fun addvars  c (a,b)  = (a,b,c)
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(*********************************************************************)
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(* Pass in spass string of proof and string version of isabelle goal *)
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(* Get out reconstruction steps as a string to be sent to Isabelle   *)
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(*********************************************************************)
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(*
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val proofstr = "Here is a proof with depth 2, length 5 :\
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\1[0:Inp] ||  -> v_P(tconst_fun(typ__asc39_a,tconst_bool),U)*.\
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\3[0:Inp] || v_Q(tconst_fun(typ__asc39_a,tconst_bool),U)* -> .\
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\5[0:Inp] || v_P(tconst_fun(typ__asc39_a,tconst_bool),v_x)* -> v_Q(tconst_fun(typ__asc39_a,tconst_bool),v_xa).\
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\7[0:Res:1.0,5.0] ||  -> v_Q(tconst_fun(typ__asc39_a,tconst_bool),v_xa)*.\
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\9[0:Res:7.0,3.0] ||  -> .\
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\Formulae used in the proof :"
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val proofstr = "Here is a proof with depth 4, length 9 :\
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\1[0:Inp] || v_P(tconst_fun(typ__asc39_a,tconst_bool),v_x)*+ -> v_P(tconst_fun(typ__asc39_a,tconst_bool),U)*.\
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\3[0:Inp] || v_P(tconst_fun(typ__asc39_a,tconst_bool),U)*+ -> v_P(tconst_fun(typ__asc39_a,tconst_bool),v_x)*.\
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\5[0:Inp] ||  -> v_P(tconst_fun(typ__asc39_a,tconst_bool),U)* v_P(tconst_fun(typ__asc39_a,tconst_bool),v_xa)*.\
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\7[0:Inp] || v_P(tconst_fun(typ__asc39_a,tconst_bool),U)*+ v_P(tconst_fun(typ__asc39_a,tconst_bool),v_xb)* -> .\
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\9[0:Fac:5.0,5.1] ||  -> v_P(tconst_fun(typ__asc39_a,tconst_bool),v_xa)*.\
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\10[0:Res:9.0,3.0] ||  -> v_P(tconst_fun(typ__asc39_a,tconst_bool),v_x)*.\
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\11[0:Res:10.0,1.0] ||  -> v_P(tconst_fun(typ__asc39_a,tconst_bool),U)*.\
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\12[0:Fac:7.0,7.1] || v_P(tconst_fun(typ__asc39_a,tconst_bool),v_xb)* -> .\
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\14[0:Res:11.0,12.0] ||  -> .\
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\Formulae used in the proof :";
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val thmstring = " (~ (P::'a::type => bool) (x::'a::type) | P (U::'a::type)) & (~ (P::'a::type => bool) (U::'a::type) | P (x::'a::type)) & ((P::'a::type => bool) (xa::'a::type) | P (U::'a::type)) & (~ (P::'a::type => bool) (U::'a::type) | ~ P (xb::'a::type))";
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val thmstring = "(ALL xb::'a::type.   (~ (P::'a::type => bool) ((x::'a::type => 'a::type) xb) |    (Q::'a::type => bool) ((xa::'a::type => 'a::type) xb)) &   P xb & ~ Q xb)"
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val thmstring ="(ALL xb::'a::type.   (~ (P::'a::type => bool) ((x::'a::type => 'a::type) xb) |    (Q::'a::type => bool) ((xa::'a::type => 'a::type) xb)) &   P xb & ~ Q xb)"
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val proofstr = "Did parsing on Here is a proof with depth 2, length 5 :\
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\1[0:Inp] ||  -> v_P(tconst_fun(typ__asc39_a,tconst_bool),U)*.\
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\3[0:Inp] || v_Q(tconst_fun(typ__asc39_a,tconst_bool),U)* -> .\
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\5[0:Inp] || v_P(tconst_fun(typ__asc39_a,tconst_bool),v_x(tconst_fun(typ__asc39_a,typ__asc39_a),U))* -> v_Q(tconst_fun(typ__asc39_a,tconst_bool),v_xa(tconst_fun(typ__asc39_a,typ__asc39_a),U)).\
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\7[0:Res:1.0,5.0] ||  -> v_Q(tconst_fun(typ__asc39_a,tconst_bool),v_xa(tconst_fun(typ__asc39_a,typ__asc39_a),U))*.\
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\9[0:Res:7.0,3.0] ||  -> .\
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\Formulae used in the proof :";
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*)
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val dummy_tac = PRIMITIVE(fn thm => thm );
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fun spassString_to_reconString proofstr thmstring goalstring toParent ppid thms= 
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                                              let val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "thmstringfile")));                                        
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                                                  (* val sign = sign_of_thm thm
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                                                 val prems = prems_of thm
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                                                 val prems_string =  concat_with_and (map (Sign.string_of_term sign) prems) "" 
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                                                  val _ = warning ("thmstring is: "^thmstring);(*("thm in spassStrtoRec: "^(concat_with_and (map string_of_thm thms) "")^*)*)
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                                                  val _ = TextIO.output (outfile, (" thmstring is: "^thmstring^"proofstr is: "^proofstr))
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             (*val _ = TextIO.output (outfile, (("in spassStrto Reconstr")));*)
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                                                  val _ =  TextIO.closeOut outfile
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                                                  val tokens = #1(lex proofstr)
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                                              (***********************************)
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                                              (* parse spass proof into datatype *)
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                                              (***********************************)
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                                                  val proof_steps1 = parse tokens
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                                                  val proof_steps = just_change_space proof_steps1
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                                                  val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_parse")));                                                                                          val _ = TextIO.output (outfile, ("Did parsing on "^proofstr))
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                                                  val _ =  TextIO.closeOut outfile
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                                                  val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_thmstring_at_parse")));                                                                             val _ = TextIO.output (outfile, ("Parsing for thmstring: "^thmstring))
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                                                  val _ =  TextIO.closeOut outfile
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                                              (************************************)
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                                              (* recreate original subgoal as thm *)
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                                              (************************************)
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                                                  (* get axioms as correctly numbered clauses w.r.t. the Spass proof *)
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                                                  (* need to get prems_of thm, then get right one of the prems, relating to whichever*)
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                                                  (* subgoal this is, and turn it into meta_clauses *)
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                                                  val (frees,vars,extra_with_vars ,ax_with_vars,numcls) = get_axioms_used proof_steps  thms
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                                                  (*val numcls_string = numclstr ( vars, numcls) ""*)
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                                                  val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_axiom")));                                                                            val _ = TextIO.output (outfile,"got axioms")
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                                                  val _ =  TextIO.closeOut outfile
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                                              (************************************)
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                                              (* translate proof                  *)
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                                              (************************************)
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                                                  val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_steps")));                                                          val _ = TextIO.output (outfile, ("about to translate proof, steps: "^(init_proofsteps_to_string proof_steps "")))
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                                                  val _ =  TextIO.closeOut outfile
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                                                  val (newthm,proof) = translate_proof numcls  proof_steps vars
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                                                  val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_steps2")));                                                                         val _ = TextIO.output (outfile, ("translated proof, steps: "^(init_proofsteps_to_string proof_steps "")))
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                                                  val _ =  TextIO.closeOut outfile
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                                              (***************************************************)
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                                              (* transfer necessary steps as strings to Isabelle *)
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                                              (***************************************************)
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                                                  (* turn the proof into a string *)
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                                                  val reconProofStr = proofs_to_string proof ""
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                                                  (* do the bit for the Isabelle ordered axioms at the top *)
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                                                  val ax_nums = map #1 numcls
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                                                  val ax_strs = map get_meta_lits_bracket (map #2 numcls)
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                                                  val numcls_strs = ListPair.zip (ax_nums,ax_strs)
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                                                  val num_cls_vars =  map (addvars vars) numcls_strs;
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                                                  val reconIsaAxStr = origAxs_to_string (ListPair.zip (ax_nums,ax_with_vars)) ""
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                                                  val extra_nums = if (not (extra_with_vars = [])) then (1 upto (length extra_with_vars)) else []
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                                                  val reconExtraAxStr = extraAxs_to_string ( ListPair.zip (extra_nums,extra_with_vars)) ""
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                                                  val frees_str = "["^(thmvars_to_string frees "")^"]"
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                                                  val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "reconstringfile")));
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                                                  val _ = TextIO.output (outfile, (frees_str^reconExtraAxStr^reconIsaAxStr^reconProofStr))
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                                                  val _ =  TextIO.closeOut outfile
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    						  val reconstr = (frees_str^reconExtraAxStr^reconIsaAxStr^reconProofStr)
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                                              in 
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                                                   TextIO.output (toParent, reconstr^"\n");
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                                                   TextIO.flushOut toParent;
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                                        	   TextIO.output (toParent, thmstring^"\n");
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                                         	   TextIO.flushOut toParent;
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                                         	   TextIO.output (toParent, goalstring^"\n");
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                                         	   TextIO.flushOut toParent;
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                                         	   Posix.Process.kill(Posix.Process.K_PROC ppid, Posix.Signal.usr2);
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                                         	  (* Attempt to prevent several signals from turning up simultaneously *)
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                                         	   OS.Process.sleep(Time.fromSeconds 1) ; dummy_tac
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                                              end
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                                              handle _ => (let val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "foo_handler")));
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                                                  val _ = TextIO.output (outfile, ("In exception handler"));
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                                                  val _ =  TextIO.closeOut outfile
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                                              in 
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                                                  TextIO.output (toParent,"Proof found but translation failed!" ^"\n");
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                                                  TextIO.flushOut toParent;
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            					  Posix.Process.kill(Posix.Process.K_PROC ppid, Posix.Signal.usr2);
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                                         	  (* Attempt to prevent several signals from turning up simultaneously *)
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                                         	  OS.Process.sleep(Time.fromSeconds 1) ;dummy_tac
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                                              end)
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(**********************************************************************************)
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   397
(* At other end, want to turn back into datatype so can apply reconstruct_proof.  *)
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(* This will be done by the signal handler                                        *)
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   399
(**********************************************************************************)
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   400
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   401
(* Parse in the string version of the proof steps for reconstruction *)
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   402
(* Isar format: cl1 [BINARY 0 cl2 0];cl1 [PARAMOD 0 cl2 0]; cl1 [DEMOD 0 cl2];cl1 [FACTOR 1 2];*)
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   403
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   404
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   405
 val term_numstep =
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   406
        (number ++ (a (Other ",")) ++ number) >> (fn (a, (_, c)) => (a, c))
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val extraaxiomstep = (a (Word "ExtraAxiom"))++ (a (Other "(")) ++(a (Other ")"))
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            >> (fn (_) => ExtraAxiom)
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   410
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   411
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   412
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   413
val origaxiomstep = (a (Word "OrigAxiom"))++ (a (Other "(")) ++(a (Other ")"))
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   414
            >> (fn (_) => OrigAxiom)
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   415
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   416
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   417
 val axiomstep = (a (Word "Axiom"))++ (a (Other "(")) ++(a (Other ")"))
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            >> (fn (_) => Axiom)
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   419
     
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   420
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   421
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   422
      
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   423
 val binarystep = (a (Word "Binary")) ++ (a (Other "(")) ++ (a (Other "(")) 
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   424
                   ++ term_numstep  ++ (a (Other ")")) ++ (a (Other ","))
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                   ++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")"))
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   426
            >> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => Binary (c,e))
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   428
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   429
 val parastep = (a (Word "Para")) ++ (a (Other "(")) ++ (a (Other "(")) 
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   430
                   ++ term_numstep  ++ (a (Other ")")) ++ (a (Other ","))
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                   ++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")"))
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            >> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => Para(c, e))
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   433
      
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   434
 val mrrstep = (a (Word "MRR")) ++ (a (Other "(")) ++ (a (Other "(")) 
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   435
                   ++ term_numstep  ++ (a (Other ")")) ++ (a (Other ","))
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   436
                   ++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")"))
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   437
            >> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => MRR(c, e))
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   438
      
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   439
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   440
 val factorstep = (a (Word "Factor")) ++ (a (Other "("))
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   441
                    ++ number ++ (a (Other ","))
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   442
                       ++ number ++ (a (Other ","))
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   443
                       ++ number ++  (a (Other ")"))
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            >> (fn (_, (_, (c, (_, (e,(_,(f,_))))))) =>  Factor (c,e,f))
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   446
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   447
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   448
val rewritestep = (a (Word "Rewrite"))  ++ (a (Other "(")) ++ (a (Other "(")) 
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   449
                   ++ term_numstep  ++ (a (Other ")")) ++ (a (Other ","))
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   450
                   ++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")"))
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   451
            >> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => Rewrite (c,e))
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   452
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   453
val obviousstep = (a (Word "Obvious")) ++ (a (Other "(")) 
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   454
                   ++ term_numstep  ++ (a (Other ")")) 
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   455
            >> (fn (_, (_, (c,_))) => Obvious (c))
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   456
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   457
 val methodstep = extraaxiomstep || origaxiomstep || axiomstep ||binarystep || factorstep|| parastep || mrrstep || rewritestep || obviousstep
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   458
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   459
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   460
 val number_list_step =
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   461
        ( number ++ many ((a (Other ",") ++ number)>> #2))
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   462
        >> (fn (a,b) => (a::b))
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   463
        
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   464
 val numberlist_step = a (Other "[")  ++ a (Other "]")
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   465
                        >>(fn (_,_) => ([]:int list))
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   466
                       || a (Other "[") ++ number_list_step ++ a (Other "]")
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   467
                        >>(fn (_,(a,_)) => a)
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   468
                    
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   469
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   470
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   471
(** change this to allow P (x U) *)
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   472
 fun arglist_step input = ( word ++ many  word >> (fn (a, b) => (a^" "^(implode_with_space b)))
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   473
                           ||word >> (fn (a) => (a)))input
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   474
                
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   475
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   476
fun literal_step input = (word ++ a (Other "(") ++ arglist_step ++  a (Other ")")
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   477
                                          >>(fn (a, (b, (c,d))) => (a^" ("^(c)^")"))
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   478
                        || arglist_step >> (fn (a) => (a)))input
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   479
                           
quigley@15642
   480
quigley@15642
   481
quigley@15642
   482
(* fun term_step input = (a (Other "~") ++ arglist_step ++ a (Other "%")>> (fn (a,(b,c)) => ("~ "^b))
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   483
                     ||  arglist_step ++ a (Other "%")>> (fn (a,b) => a ))input
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   484
*)
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   485
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   486
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   487
 fun term_step input = (a (Other "~") ++ literal_step ++ a (Other "%")>> (fn (a,(b,c)) => ("~ "^b))
quigley@15642
   488
                     ||  literal_step ++ a (Other "%")>> (fn (a,b) => a ))input
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   489
quigley@15642
   490
quigley@15642
   491
         
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   492
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   493
 val term_list_step =
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   494
        (  term_step ++ many ( term_step))
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   495
        >> (fn (a,b) => (a::b))
quigley@15642
   496
        
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   497
 
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   498
val term_lists_step = a (Other "[")  ++ a (Other "]")
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   499
                        >>(fn (_,_) => ([]:string list))
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   500
                       || a (Other "[") ++ term_list_step ++ a (Other "]")
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   501
                        >>(fn (_,(a,_)) => a)
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   502
                     
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   503
quigley@15642
   504
quigley@15642
   505
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   506
fun anytoken_step input  = (word>> (fn (a) => a)  ) input
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   507
                       handle NOPARSE_WORD => (number>> (fn (a) => string_of_int a)  ) input
quigley@15642
   508
                      handle NOPARSE_NUMBER => (other_char >> (fn(a) => a)) input
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   509
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   510
quigley@15642
   511
quigley@15642
   512
fun goalstring_step input= (anytoken_step ++ many (anytoken_step )
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   513
                  >> (fn (a,b) =>  (a^" "^(implode b)))) input
quigley@15642
   514
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   515
quigley@15642
   516
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   517
 val linestep = number ++ methodstep ++ term_lists_step ++ term_lists_step
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   518
                >> (fn (a, (b, (c,d))) => (a,(b,c,d)))
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   519
    
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   520
 val lines_step = many linestep
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   521
paulson@15739
   522
 val alllines_step = (term_lists_step ++ lines_step ) ++ finished >> #1
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   523
    
paulson@15739
   524
 val parse_step = #1 o alllines_step
quigley@15642
   525
quigley@15642
   526
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   527
 (*
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   528
val reconstr ="[P%x%xa%xb%]1OrigAxiom()[P x%~ P U%][U%]3OrigAxiom()[P U%~ P x%][U%]5OrigAxiom()[~ P xa%~ P U%][U%]7OrigAxiom()[P U%P xb%][U%]1Axiom()[P x%~ P U%][U%]3Axiom()[P U%~ P x%][U%]5Axiom()[~ P U%~ P xa%][U%]7Axiom()[P U%P xb%][U%]9Factor(5,0,1)[~ P xa%][]10Binary((9,0),(3,0))[~ P x%][]11Binary((10,0),(1,0))[~ P U%][U%]12Factor(7,0,1)[P xb%][]14Binary((11,0),(12,0))[][]%(EX x::'a::type. ALL y::'a::type. (P::'a::type => bool) x = P y) -->(EX x::'a::type. P x) = (ALL y::'a::type. P y)"
quigley@15642
   529
*)
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   530
quigley@15642
   531
(************************************************************)
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   532
(* Construct an Isar style proof from a list of proof steps *)
quigley@15642
   533
(************************************************************)
quigley@15642
   534
(* want to assume all axioms, then do haves for the other clauses*)
quigley@15642
   535
(* then show for the last step *)
quigley@15642
   536
quigley@15642
   537
(* replace ~ by not here *)
quigley@15642
   538
fun change_nots [] = []
quigley@15642
   539
|   change_nots (x::xs) = if x = "~" 
quigley@15642
   540
                          then 
quigley@15642
   541
                             ["\\", "<", "n", "o", "t", ">"]@(change_nots xs)
quigley@15642
   542
                          else (x::(change_nots xs))
quigley@15642
   543
quigley@15642
   544
(*
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   545
fun clstrs_to_string [] str = str
quigley@15642
   546
|   clstrs_to_string (x::[]) str = str^x
quigley@15642
   547
|   clstrs_to_string (x::xs) str = clstrs_to_string xs (str^(x^"; "))
quigley@15642
   548
*)
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   549
fun clstrs_to_string [] str = implode (change_nots (explode str))
quigley@15642
   550
|   clstrs_to_string (x::[]) str = implode (change_nots (explode (str^x)))
quigley@15642
   551
|   clstrs_to_string (x::xs) str = implode (change_nots (explode (clstrs_to_string xs (str^(x^"; ")))))
quigley@15642
   552
quigley@15642
   553
quigley@15642
   554
quigley@15642
   555
fun thmvars_to_quantstring [] str = str
quigley@15642
   556
|   thmvars_to_quantstring (x::[]) str =str^x^". "
quigley@15642
   557
|   thmvars_to_quantstring (x::xs) str = thmvars_to_quantstring xs (str^(x^" "))
quigley@15642
   558
quigley@15642
   559
quigley@15642
   560
fun clause_strs_to_isar clstrs [] =  "\"\\<lbrakk>"^(clstrs_to_string clstrs "")^"\\<rbrakk> "^" \\<Longrightarrow> False\""
quigley@15642
   561
|   clause_strs_to_isar clstrs thmvars = "\"\\<And>"^(thmvars_to_quantstring thmvars "")^"\\<lbrakk>"^(clstrs_to_string clstrs "")^"\\<rbrakk> "^"\\<Longrightarrow> False\""
quigley@15642
   562
quigley@15642
   563
fun frees_to_string [] str = implode (change_nots (explode str))
quigley@15642
   564
|   frees_to_string (x::[]) str = implode (change_nots (explode (str^x)))
quigley@15642
   565
|   frees_to_string  (x::xs) str = implode (change_nots (explode (frees_to_string xs (str^(x^" ")))))
quigley@15642
   566
quigley@15642
   567
fun frees_to_isar_str [] =  ""
quigley@15642
   568
|   frees_to_isar_str  clstrs = (frees_to_string clstrs "")
quigley@15642
   569
quigley@15642
   570
quigley@15642
   571
(***********************************************************************)
quigley@15642
   572
(* functions for producing assumptions for the Isabelle ordered axioms *)
quigley@15642
   573
(***********************************************************************)
quigley@15642
   574
(*val str = "[P%x%xa%xb%]1OrigAxiom()[P x%~ P U%][U%]3OrigAxiom()[P U%~ P x%][U%]5OrigAxiom()[~ P xa%~ P U%][U%]7OrigAxiom()[P U%P xb%][U%]1Axiom()[P x%~ P U%][U%]3Axiom()[P U%~ P x%][U%]5Axiom()[~ P U%~ P xa%][U%]7Axiom()[P U%P xb%][U%]9Factor(5,0,1)[~ P xa%][]10Binary((9,0),(3,0))[~ P x%][]11Binary((10,0),(1,0))[~ P U%][U%]12Factor(7,0,1)[P xb%][]14Binary((11,0),(12,0))[][]";       
quigley@15642
   575
num, rule, clausestrs, vars*)
quigley@15642
   576
quigley@15642
   577
quigley@15642
   578
(* assume the extra clauses - not used in Spass proof *)
quigley@15642
   579
quigley@15642
   580
fun is_extraaxiom_step ( num:int,(ExtraAxiom, str, tstr)) = true
quigley@15642
   581
|   is_extraaxiom_step (num, _) = false
quigley@15642
   582
quigley@15642
   583
fun get_extraaxioms xs = List.filter (is_extraaxiom_step) ( xs)
quigley@15642
   584
quigley@15642
   585
fun assume_isar_extraaxiom [] str  = str
quigley@15642
   586
|   assume_isar_extraaxiom ((numb,(step, clstr, thmvars))::xs) str  = assume_isar_extraaxiom xs (str^"and cl"^(string_of_int numb)^"': "^(clause_strs_to_isar clstr thmvars)^"\n " )
quigley@15642
   587
quigley@15642
   588
quigley@15642
   589
quigley@15642
   590
fun assume_isar_extraaxioms  [] = ""
quigley@15642
   591
|assume_isar_extraaxioms ((numb,(step, clstrs, thmstrs))::xs) = let val str = "assume cl"^(string_of_int numb)^"': "^(clause_strs_to_isar clstrs thmstrs)^"\n" 
quigley@15642
   592
                                         in
quigley@15642
   593
                                             assume_isar_extraaxiom xs str
quigley@15642
   594
                                         end
quigley@15642
   595
quigley@15642
   596
(* assume the Isabelle ordered clauses *)
quigley@15642
   597
quigley@15642
   598
fun is_origaxiom_step ( num:int,(OrigAxiom, str, tstr)) = true
quigley@15642
   599
|   is_origaxiom_step (num, _) = false
quigley@15642
   600
quigley@15642
   601
fun get_origaxioms xs = List.filter (is_origaxiom_step) ( xs)
quigley@15642
   602
quigley@15642
   603
fun assume_isar_origaxiom [] str  = str
quigley@15642
   604
|   assume_isar_origaxiom ((numb,(step, clstr, thmvars))::xs) str  = assume_isar_origaxiom xs (str^"and cl"^(string_of_int numb)^"': "^(clause_strs_to_isar clstr thmvars)^"\n " )
quigley@15642
   605
quigley@15642
   606
quigley@15642
   607
quigley@15642
   608
fun assume_isar_origaxioms ((numb,(step, clstrs, thmstrs))::xs) = let val str = "assume cl"^(string_of_int numb)^"': "^(clause_strs_to_isar clstrs thmstrs)^"\n" 
quigley@15642
   609
                                         in
quigley@15642
   610
                                             assume_isar_origaxiom xs str
quigley@15642
   611
                                         end
quigley@15642
   612
quigley@15642
   613
quigley@15642
   614
quigley@15642
   615
fun is_axiom_step ( num:int,(Axiom, str, tstr)) = true
quigley@15642
   616
|   is_axiom_step (num, _) = false
quigley@15642
   617
quigley@15642
   618
fun get_axioms xs = List.filter  (is_axiom_step) ( xs)
quigley@15642
   619
quigley@15642
   620
fun have_isar_axiomline (numb,(step, clstrs, thmstrs))="have cl"^(string_of_int numb)^": "^(clause_strs_to_isar clstrs thmstrs)^"\n"
quigley@15642
   621
quigley@15642
   622
fun  by_isar_axiomline (numb,(step, clstrs, thmstrs))="by (rule cl"^ (string_of_int numb)^"') \n"
quigley@15642
   623
quigley@15642
   624
quigley@15642
   625
fun isar_axiomline (numb, (step, clstrs, thmstrs))  = (have_isar_axiomline (numb,(step,clstrs, thmstrs )))^( by_isar_axiomline(numb,(step,clstrs, thmstrs )) )
quigley@15642
   626
quigley@15642
   627
quigley@15642
   628
fun isar_axiomlines [] str = str
quigley@15642
   629
|   isar_axiomlines (x::xs) str = isar_axiomlines xs (str^(isar_axiomline x))
quigley@15642
   630
quigley@15642
   631
quigley@15642
   632
fun have_isar_line (numb,(step, clstrs, thmstrs))="have cl"^(string_of_int numb)^": "^(clause_strs_to_isar clstrs thmstrs)^"\n"
quigley@15642
   633
quigley@15642
   634
quigley@15642
   635
fun  by_isar_line ((Binary ((a,b), (c,d))))="by(rule cl"^
quigley@15642
   636
                                                  (string_of_int a)^" [BINARY "^(string_of_int b)^" "^"cl"^
quigley@15642
   637
                                                  (string_of_int c)^" "^(string_of_int d)^"])"^"\n"
quigley@15642
   638
|   by_isar_line ( (Para ((a,b), (c,d)))) ="by (rule cl"^
quigley@15642
   639
                                                  (string_of_int a)^" [PARAMOD "^(string_of_int b)^" "^"cl"^
quigley@15642
   640
                                                  (string_of_int c)^" "^(string_of_int d)^"])"^"\n"
quigley@15642
   641
|   by_isar_line ((Factor ((a,b,c)))) =    "by (rule cl"^(string_of_int a)^" [FACTOR "^(string_of_int b)^" "^
quigley@15642
   642
                                                  (string_of_int c)^" "^"])"^"\n"
quigley@15642
   643
|   by_isar_line ( (Rewrite ((a,b),(c,d)))) =  "by (rule cl"^(string_of_int a)^" [DEMOD "^(string_of_int b)^" "^
quigley@15642
   644
                                                  (string_of_int c)^" "^(string_of_int d)^" "^"])"^"\n"
quigley@15642
   645
quigley@15642
   646
|   by_isar_line ( (Obvious ((a,b)))) =  "by (rule cl"^(string_of_int a)^" [OBVIOUS "^(string_of_int b)^" ])"^"\n"
quigley@15642
   647
quigley@15642
   648
fun isar_line (numb, (step, clstrs, thmstrs))  = (have_isar_line (numb,(step,clstrs, thmstrs )))^( by_isar_line step)
quigley@15642
   649
quigley@15642
   650
quigley@15642
   651
fun isar_lines [] str = str
quigley@15642
   652
|   isar_lines (x::xs) str = isar_lines xs (str^(isar_line x))
quigley@15642
   653
quigley@15642
   654
fun last_isar_line (numb,( step, clstrs,thmstrs)) = "show \"False\"\n"^(by_isar_line step)
quigley@15642
   655
quigley@15642
   656
quigley@15642
   657
fun to_isar_proof (frees, xs, goalstring) = let val extraaxioms = get_extraaxioms xs
quigley@15642
   658
                           val extraax_num = length extraaxioms
paulson@15774
   659
                           val origaxioms_and_steps = Library.drop (extraax_num, xs)  
quigley@15642
   660
                          
quigley@15642
   661
  
quigley@15642
   662
                           val origaxioms = get_origaxioms origaxioms_and_steps
quigley@15642
   663
                           val origax_num = length origaxioms
paulson@15774
   664
                           val axioms_and_steps = Library.drop (origax_num + extraax_num, xs)  
quigley@15642
   665
                           val axioms = get_axioms axioms_and_steps
quigley@15642
   666
                           
paulson@15774
   667
                           val steps = Library.drop (origax_num, axioms_and_steps)
quigley@15642
   668
                           val firststeps = butlast steps
quigley@15642
   669
                           val laststep = last steps
quigley@15642
   670
                           val goalstring = implode(butlast(explode goalstring))
quigley@15642
   671
                        
quigley@15642
   672
                           val isar_proof = 
quigley@15642
   673
                           ("show \""^goalstring^"\"\n")^
quigley@15642
   674
                           ("proof (rule ccontr,skolemize, make_clauses) \n")^
quigley@15642
   675
                           ("fix "^(frees_to_isar_str frees)^"\n")^
quigley@15642
   676
                           (assume_isar_extraaxioms extraaxioms)^
quigley@15642
   677
                           (assume_isar_origaxioms origaxioms)^
quigley@15642
   678
                           (isar_axiomlines axioms "")^
quigley@15642
   679
                           (isar_lines firststeps "")^
quigley@15642
   680
                           (last_isar_line laststep)^
quigley@15642
   681
                           ("qed")
quigley@15658
   682
                          val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "isar_proof_file")));
quigley@15642
   683
quigley@15642
   684
                                                  val _ = TextIO.output (outfile, isar_proof)
quigley@15642
   685
                                                  val _ =  TextIO.closeOut outfile
quigley@15642
   686
quigley@15642
   687
quigley@15642
   688
                       in
quigley@15642
   689
                           isar_proof
quigley@15642
   690
                       end
quigley@15642
   691
quigley@15642
   692
(* get fix vars from axioms - all Frees *)
quigley@15642
   693
(* check each clause for meta-vars and /\ over them at each step*)
quigley@15642
   694
quigley@15642
   695
(*******************************************************)
quigley@15642
   696
(* This assumes the thm list  "numcls" is still there  *)
quigley@15642
   697
(* In reality, should probably label it with an        *)
quigley@15642
   698
(* ID number identifying the subgoal.  This could      *)
quigley@15642
   699
(* be passed over to the watcher, e.g.  numcls25       *)
quigley@15642
   700
(*******************************************************)
quigley@15642
   701
quigley@15642
   702
(* val str = "[S%x%P%R%Q%]1ExtraAxiom()[~ Q U%~ R U%][U%]2ExtraAxiom()[~ Q U%~ P U%][U%]3ExtraAxiom()[Q U%R U%][U%]1OrigAxiom()[S x%][]2OrigAxiom()[P U%R U%][U%]6OrigAxiom()[~ S U%~ P U%][U%]7OrigAxiom()[~ S U%~ R U%][U%]1Axiom()[S x%][]2Axiom()[R U%P U%][U%]6Axiom()[~ P U%~ S U%][U%]7Axiom()[~ R U%~ S U%][U%]8Binary((6,1),(1,0))[~ P x%][]9Binary((7,1),(1,0))[~ R x%][]19Binary((9,0),(2,0))[P x%][]25Binary((8,0),(19,0))[][]";
quigley@15642
   703
quigley@15642
   704
val str = "[P%x%xa%xb%]1OrigAxiom()[P x%~ P U%][U%]3OrigAxiom()[P U%~ P x%][U%]5OrigAxiom()[~ P xa%~ P U%][U%]7OrigAxiom()[P U%P xb%][U%]1Axiom()[P x%~ P U%][U%]3Axiom()[P U%~ P x%][U%]5Axiom()[~ P U%~ P xa%][U%]7Axiom()[P U%P xb%][U%]9Factor(5,0,1)[~ P xa%][]10Binary((9,0),(3,0))[~ P x%][]11Binary((10,0),(1,0))[~ P U%][U%]12Factor(7,0,1)[P xb%][]14Binary((11,0),(12,0))[][]";
quigley@15642
   705
quigley@15642
   706
val reconstr = "[P%Q%x%xa%]1OrigAxiom()[~ P U%][U%]3OrigAxiom()[Q U%][U%]5OrigAxiom()[P (x U)%~ Q (xa U)%][U%]9Binary((7,0),(3,0))[][]7Binary((1,0),(5,0))[~ Q (xa U)%][U%]5Axiom()[P (x U)%~ Q (xa U)%][U%]3Axiom()[Q U%][U%]1Axiom()[~ P U%][U%](ALL xb::'a::type.   (~ (P::'a::type => bool) ((x::'a::type => 'a::type) xb) |    (Q::'a::type => bool) ((xa::'a::type => 'a::type) xb)) &   P xb & ~ Q xb)";
quigley@15642
   707
quigley@15642
   708
quigley@15642
   709
val reconstr = "[P%x%xa%xb%]1OrigAxiom()[P x%~ P U%][U%]3OrigAxiom()[P U%~ P x%][U%]5OrigAxiom()[~ P xa%~ P U%][U%]7OrigAxiom()[P U%P xb%][U%]1Axiom()[P x%~ P U%][U%]3Axiom()[P U%~ P x%][U%]5Axiom()[~ P U%~ P xa%][U%]7Axiom()[P U%P xb%][U%]9Factor(5,0,1)[~ P xa%][]10Binary((9,0),(3,0))[~ P x%][]11Binary((10,0),(1,0))[~ P U%][U%]12Factor(7,0,1)[P xb%][]14Binary((11,0),(12,0))[][]";
quigley@15642
   710
quigley@15642
   711
val thmstring = " (ALL xa::'a::type.   (~ (P::'a::type => bool) (x::'a::type) | P xa) & (~ P xa | P x)) & (((P::'a::type => bool) (xa::'a::type) | (ALL x::'a::type. P x)) &((ALL x::'a::type. ~ P x) | ~ P (xb::'a::type)))";
quigley@15642
   712
*)
quigley@15642
   713
paulson@15739
   714
fun apply_res_thm str goalstring  = let val tokens = #1 (lex str);
quigley@15642
   715
quigley@15642
   716
                                   val (frees,recon_steps) = parse_step tokens 
quigley@15642
   717
                                   val isar_str = to_isar_proof (frees, recon_steps, goalstring)
quigley@15658
   718
                                   val foo =   TextIO.openOut (File.sysify_path(File.tmp_path (Path.basic "foobar")));
quigley@15642
   719
                               in 
quigley@15642
   720
                                  TextIO.output(foo,(isar_str));TextIO.closeOut foo;Pretty.writeln(Pretty.str  isar_str); () 
quigley@15642
   721
                               end 
quigley@15642
   722
quigley@15642
   723
paulson@15684
   724
end;