src/HOL/Tools/ATP/recon_transfer_proof.ML
author paulson
Tue Apr 12 11:08:25 2005 +0200 (2005-04-12)
changeset 15700 970e0293dfb3
parent 15697 681bcb7f0389
child 15739 bb2acfed8212
permissions -rw-r--r--
tweaks mainly to achieve sml/nj compatibility
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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 = 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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fun thm_of_string str = let val _ = set show_sorts
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                                val term = read str
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                                val propterm = HOLogic.mk_Trueprop term
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                                val cterm = cterm_of Mainsign propterm
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                                val _ = reset show_sorts
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                            in
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                                assume cterm
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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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fun assoc_snd a [] = raise Recon_Base.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 = let val foo = (checkorder xs ys [] ([],[],[])) 
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                               in 
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                                   true
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                              end
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                              handle EXCEP => false
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fun assoc_out_of_order a [] = raise Recon_Base.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 onelist [] newlist = newlist
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|   onelist (x::xs) newlist = onelist xs (newlist@x)
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 fun get_axioms_used proof_steps thmstring = 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 thm = thm_of_string thmstring
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                                            val clauses = make_clauses [thm]
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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 = onelist (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 = 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 = 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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 									 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, (zip step_nums ax_metas))
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                                         end
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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 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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fun spassString_to_reconString proofstr thmstring = 
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                                              let val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "thmstringfile")));                                                                                      val _= warning("proofstr is: "^proofstr);
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                                                  val _ = warning ("thmstring is: "^thmstring);
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                                                  val _ = TextIO.output (outfile, (thmstring))
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                                                  val _ =  TextIO.closeOut outfile
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                                                  val proofextract = extract_proof proofstr
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                                                  val tokens = fst(lex proofextract)
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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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                                                  val (frees,vars,extra_with_vars ,ax_with_vars,numcls) = get_axioms_used proof_steps thmstring
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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 fst numcls
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                                                  val ax_strs = map get_meta_lits_bracket (map snd numcls)
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                                                  val numcls_strs = 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 (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 ( 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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                                              in 
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                                                   (frees_str^reconExtraAxStr^reconIsaAxStr^reconProofStr)
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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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                                                 "Proof found but translation failed!"
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                                              end)
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(**********************************************************************************)
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(* 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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(**********************************************************************************)
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   391
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   392
(* Parse in the string version of the proof steps for reconstruction *)
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(* Isar format: cl1 [BINARY 0 cl2 0];cl1 [PARAMOD 0 cl2 0]; cl1 [DEMOD 0 cl2];cl1 [FACTOR 1 2];*)
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 val term_numstep =
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        (number ++ (a (Other ",")) ++ number) >> (fn (a, (_, c)) => (a, c))
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   398
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val extraaxiomstep = (a (Word "ExtraAxiom"))++ (a (Other "(")) ++(a (Other ")"))
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            >> (fn (_) => ExtraAxiom)
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   401
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   402
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   403
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   404
val origaxiomstep = (a (Word "OrigAxiom"))++ (a (Other "(")) ++(a (Other ")"))
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   405
            >> (fn (_) => OrigAxiom)
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   407
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   408
 val axiomstep = (a (Word "Axiom"))++ (a (Other "(")) ++(a (Other ")"))
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   409
            >> (fn (_) => Axiom)
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   410
     
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   411
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   412
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   413
      
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   414
 val binarystep = (a (Word "Binary")) ++ (a (Other "(")) ++ (a (Other "(")) 
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                   ++ term_numstep  ++ (a (Other ")")) ++ (a (Other ","))
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   416
                   ++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")"))
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            >> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => Binary (c,e))
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   419
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   420
 val parastep = (a (Word "Para")) ++ (a (Other "(")) ++ (a (Other "(")) 
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   421
                   ++ term_numstep  ++ (a (Other ")")) ++ (a (Other ","))
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   422
                   ++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")"))
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            >> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => Para(c, e))
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   424
      
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   425
 val mrrstep = (a (Word "MRR")) ++ (a (Other "(")) ++ (a (Other "(")) 
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   426
                   ++ 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,(_,_))))))))) => MRR(c, e))
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   430
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   431
 val factorstep = (a (Word "Factor")) ++ (a (Other "("))
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   432
                    ++ number ++ (a (Other ","))
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                       ++ number ++ (a (Other ","))
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   434
                       ++ number ++  (a (Other ")"))
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   435
                   
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            >> (fn (_, (_, (c, (_, (e,(_,(f,_))))))) =>  Factor (c,e,f))
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   437
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   438
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   439
val rewritestep = (a (Word "Rewrite"))  ++ (a (Other "(")) ++ (a (Other "(")) 
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   440
                   ++ term_numstep  ++ (a (Other ")")) ++ (a (Other ","))
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   441
                   ++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")"))
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   442
            >> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => Rewrite (c,e))
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   443
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   444
val obviousstep = (a (Word "Obvious")) ++ (a (Other "(")) 
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   445
                   ++ term_numstep  ++ (a (Other ")")) 
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   446
            >> (fn (_, (_, (c,_))) => Obvious (c))
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   447
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   448
 val methodstep = extraaxiomstep || origaxiomstep || axiomstep ||binarystep || factorstep|| parastep || mrrstep || rewritestep || obviousstep
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   449
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   450
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   451
 val number_list_step =
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   452
        ( number ++ many ((a (Other ",") ++ number)>> snd))
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   453
        >> (fn (a,b) => (a::b))
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   454
        
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   455
 val numberlist_step = a (Other "[")  ++ a (Other "]")
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   456
                        >>(fn (_,_) => ([]:int list))
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   457
                       || a (Other "[") ++ number_list_step ++ a (Other "]")
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   458
                        >>(fn (_,(a,_)) => a)
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   459
                    
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   460
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   461
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   462
(** change this to allow P (x U) *)
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   463
 fun arglist_step input = ( word ++ many  word >> (fn (a, b) => (a^" "^(implode_with_space b)))
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   464
                           ||word >> (fn (a) => (a)))input
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   465
                
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   466
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   467
fun literal_step input = (word ++ a (Other "(") ++ arglist_step ++  a (Other ")")
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   468
                                          >>(fn (a, (b, (c,d))) => (a^" ("^(c)^")"))
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   469
                        || arglist_step >> (fn (a) => (a)))input
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   470
                           
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   471
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   472
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   473
(* fun term_step input = (a (Other "~") ++ arglist_step ++ a (Other "%")>> (fn (a,(b,c)) => ("~ "^b))
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   474
                     ||  arglist_step ++ a (Other "%")>> (fn (a,b) => a ))input
quigley@15642
   475
*)
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   476
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   477
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   478
 fun term_step input = (a (Other "~") ++ literal_step ++ a (Other "%")>> (fn (a,(b,c)) => ("~ "^b))
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   479
                     ||  literal_step ++ a (Other "%")>> (fn (a,b) => a ))input
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   480
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   481
quigley@15642
   482
         
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   483
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   484
 val term_list_step =
quigley@15642
   485
        (  term_step ++ many ( term_step))
quigley@15642
   486
        >> (fn (a,b) => (a::b))
quigley@15642
   487
        
quigley@15642
   488
 
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   489
val term_lists_step = a (Other "[")  ++ a (Other "]")
quigley@15642
   490
                        >>(fn (_,_) => ([]:string list))
quigley@15642
   491
                       || a (Other "[") ++ term_list_step ++ a (Other "]")
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   492
                        >>(fn (_,(a,_)) => a)
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   493
                     
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   494
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   495
quigley@15642
   496
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   497
fun anytoken_step input  = (word>> (fn (a) => a)  ) input
quigley@15642
   498
                       handle NOPARSE_WORD => (number>> (fn (a) => string_of_int a)  ) input
quigley@15642
   499
                      handle NOPARSE_NUMBER => (other_char >> (fn(a) => a)) input
quigley@15642
   500
quigley@15642
   501
quigley@15642
   502
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   503
fun goalstring_step input= (anytoken_step ++ many (anytoken_step )
quigley@15642
   504
                  >> (fn (a,b) =>  (a^" "^(implode b)))) input
quigley@15642
   505
quigley@15642
   506
quigley@15642
   507
quigley@15642
   508
 val linestep = number ++ methodstep ++ term_lists_step ++ term_lists_step
quigley@15642
   509
                >> (fn (a, (b, (c,d))) => (a,(b,c,d)))
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   510
    
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   511
 val lines_step = many linestep
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   512
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   513
 val alllines_step = (term_lists_step ++ lines_step ) ++ finished >> fst
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   514
    
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   515
 val parse_step = fst o alllines_step
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   516
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   517
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   518
 (*
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   519
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)"
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   520
*)
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   521
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   522
(************************************************************)
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   523
(* Construct an Isar style proof from a list of proof steps *)
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   524
(************************************************************)
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   525
(* want to assume all axioms, then do haves for the other clauses*)
quigley@15642
   526
(* then show for the last step *)
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   527
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   528
(* replace ~ by not here *)
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   529
fun change_nots [] = []
quigley@15642
   530
|   change_nots (x::xs) = if x = "~" 
quigley@15642
   531
                          then 
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   532
                             ["\\", "<", "n", "o", "t", ">"]@(change_nots xs)
quigley@15642
   533
                          else (x::(change_nots xs))
quigley@15642
   534
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   535
(*
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   536
fun clstrs_to_string [] str = str
quigley@15642
   537
|   clstrs_to_string (x::[]) str = str^x
quigley@15642
   538
|   clstrs_to_string (x::xs) str = clstrs_to_string xs (str^(x^"; "))
quigley@15642
   539
*)
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   540
fun clstrs_to_string [] str = implode (change_nots (explode str))
quigley@15642
   541
|   clstrs_to_string (x::[]) str = implode (change_nots (explode (str^x)))
quigley@15642
   542
|   clstrs_to_string (x::xs) str = implode (change_nots (explode (clstrs_to_string xs (str^(x^"; ")))))
quigley@15642
   543
quigley@15642
   544
quigley@15642
   545
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   546
fun thmvars_to_quantstring [] str = str
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   547
|   thmvars_to_quantstring (x::[]) str =str^x^". "
quigley@15642
   548
|   thmvars_to_quantstring (x::xs) str = thmvars_to_quantstring xs (str^(x^" "))
quigley@15642
   549
quigley@15642
   550
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   551
fun clause_strs_to_isar clstrs [] =  "\"\\<lbrakk>"^(clstrs_to_string clstrs "")^"\\<rbrakk> "^" \\<Longrightarrow> False\""
quigley@15642
   552
|   clause_strs_to_isar clstrs thmvars = "\"\\<And>"^(thmvars_to_quantstring thmvars "")^"\\<lbrakk>"^(clstrs_to_string clstrs "")^"\\<rbrakk> "^"\\<Longrightarrow> False\""
quigley@15642
   553
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   554
fun frees_to_string [] str = implode (change_nots (explode str))
quigley@15642
   555
|   frees_to_string (x::[]) str = implode (change_nots (explode (str^x)))
quigley@15642
   556
|   frees_to_string  (x::xs) str = implode (change_nots (explode (frees_to_string xs (str^(x^" ")))))
quigley@15642
   557
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   558
fun frees_to_isar_str [] =  ""
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   559
|   frees_to_isar_str  clstrs = (frees_to_string clstrs "")
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   560
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   561
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   562
(***********************************************************************)
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   563
(* functions for producing assumptions for the Isabelle ordered axioms *)
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   564
(***********************************************************************)
quigley@15642
   565
(*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
   566
num, rule, clausestrs, vars*)
quigley@15642
   567
quigley@15642
   568
quigley@15642
   569
(* assume the extra clauses - not used in Spass proof *)
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   570
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   571
fun is_extraaxiom_step ( num:int,(ExtraAxiom, str, tstr)) = true
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   572
|   is_extraaxiom_step (num, _) = false
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   573
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   574
fun get_extraaxioms xs = List.filter (is_extraaxiom_step) ( xs)
quigley@15642
   575
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   576
fun assume_isar_extraaxiom [] str  = str
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   577
|   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
   578
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   579
quigley@15642
   580
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   581
fun assume_isar_extraaxioms  [] = ""
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   582
|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
   583
                                         in
quigley@15642
   584
                                             assume_isar_extraaxiom xs str
quigley@15642
   585
                                         end
quigley@15642
   586
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   587
(* assume the Isabelle ordered clauses *)
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   588
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   589
fun is_origaxiom_step ( num:int,(OrigAxiom, str, tstr)) = true
quigley@15642
   590
|   is_origaxiom_step (num, _) = false
quigley@15642
   591
quigley@15642
   592
fun get_origaxioms xs = List.filter (is_origaxiom_step) ( xs)
quigley@15642
   593
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   594
fun assume_isar_origaxiom [] str  = str
quigley@15642
   595
|   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
   596
quigley@15642
   597
quigley@15642
   598
quigley@15642
   599
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" 
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   600
                                         in
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   601
                                             assume_isar_origaxiom xs str
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   602
                                         end
quigley@15642
   603
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   604
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   605
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   606
fun is_axiom_step ( num:int,(Axiom, str, tstr)) = true
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   607
|   is_axiom_step (num, _) = false
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   608
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   609
fun get_axioms xs = List.filter  (is_axiom_step) ( xs)
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   610
quigley@15642
   611
fun have_isar_axiomline (numb,(step, clstrs, thmstrs))="have cl"^(string_of_int numb)^": "^(clause_strs_to_isar clstrs thmstrs)^"\n"
quigley@15642
   612
quigley@15642
   613
fun  by_isar_axiomline (numb,(step, clstrs, thmstrs))="by (rule cl"^ (string_of_int numb)^"') \n"
quigley@15642
   614
quigley@15642
   615
quigley@15642
   616
fun isar_axiomline (numb, (step, clstrs, thmstrs))  = (have_isar_axiomline (numb,(step,clstrs, thmstrs )))^( by_isar_axiomline(numb,(step,clstrs, thmstrs )) )
quigley@15642
   617
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   618
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   619
fun isar_axiomlines [] str = str
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   620
|   isar_axiomlines (x::xs) str = isar_axiomlines xs (str^(isar_axiomline x))
quigley@15642
   621
quigley@15642
   622
quigley@15642
   623
fun have_isar_line (numb,(step, clstrs, thmstrs))="have cl"^(string_of_int numb)^": "^(clause_strs_to_isar clstrs thmstrs)^"\n"
quigley@15642
   624
quigley@15642
   625
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   626
fun  by_isar_line ((Binary ((a,b), (c,d))))="by(rule cl"^
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   627
                                                  (string_of_int a)^" [BINARY "^(string_of_int b)^" "^"cl"^
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   628
                                                  (string_of_int c)^" "^(string_of_int d)^"])"^"\n"
quigley@15642
   629
|   by_isar_line ( (Para ((a,b), (c,d)))) ="by (rule cl"^
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   630
                                                  (string_of_int a)^" [PARAMOD "^(string_of_int b)^" "^"cl"^
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   631
                                                  (string_of_int c)^" "^(string_of_int d)^"])"^"\n"
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   632
|   by_isar_line ((Factor ((a,b,c)))) =    "by (rule cl"^(string_of_int a)^" [FACTOR "^(string_of_int b)^" "^
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   633
                                                  (string_of_int c)^" "^"])"^"\n"
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   634
|   by_isar_line ( (Rewrite ((a,b),(c,d)))) =  "by (rule cl"^(string_of_int a)^" [DEMOD "^(string_of_int b)^" "^
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   635
                                                  (string_of_int c)^" "^(string_of_int d)^" "^"])"^"\n"
quigley@15642
   636
quigley@15642
   637
|   by_isar_line ( (Obvious ((a,b)))) =  "by (rule cl"^(string_of_int a)^" [OBVIOUS "^(string_of_int b)^" ])"^"\n"
quigley@15642
   638
quigley@15642
   639
fun isar_line (numb, (step, clstrs, thmstrs))  = (have_isar_line (numb,(step,clstrs, thmstrs )))^( by_isar_line step)
quigley@15642
   640
quigley@15642
   641
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   642
fun isar_lines [] str = str
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   643
|   isar_lines (x::xs) str = isar_lines xs (str^(isar_line x))
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   644
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   645
fun last_isar_line (numb,( step, clstrs,thmstrs)) = "show \"False\"\n"^(by_isar_line step)
quigley@15642
   646
quigley@15642
   647
quigley@15642
   648
fun to_isar_proof (frees, xs, goalstring) = let val extraaxioms = get_extraaxioms xs
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   649
                           val extraax_num = length extraaxioms
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   650
                           val origaxioms_and_steps = drop (extraax_num) xs  
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   651
                          
quigley@15642
   652
  
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   653
                           val origaxioms = get_origaxioms origaxioms_and_steps
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   654
                           val origax_num = length origaxioms
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   655
                           val axioms_and_steps = drop (origax_num + extraax_num) xs  
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   656
                           val axioms = get_axioms axioms_and_steps
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   657
                           
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   658
                           val steps = drop origax_num axioms_and_steps
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   659
                           val firststeps = butlast steps
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   660
                           val laststep = last steps
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   661
                           val goalstring = implode(butlast(explode goalstring))
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   662
                        
quigley@15642
   663
                           val isar_proof = 
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   664
                           ("show \""^goalstring^"\"\n")^
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   665
                           ("proof (rule ccontr,skolemize, make_clauses) \n")^
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   666
                           ("fix "^(frees_to_isar_str frees)^"\n")^
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   667
                           (assume_isar_extraaxioms extraaxioms)^
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   668
                           (assume_isar_origaxioms origaxioms)^
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   669
                           (isar_axiomlines axioms "")^
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   670
                           (isar_lines firststeps "")^
quigley@15642
   671
                           (last_isar_line laststep)^
quigley@15642
   672
                           ("qed")
quigley@15658
   673
                          val  outfile = TextIO.openOut(File.sysify_path(File.tmp_path (Path.basic "isar_proof_file")));
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   674
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   675
                                                  val _ = TextIO.output (outfile, isar_proof)
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   676
                                                  val _ =  TextIO.closeOut outfile
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   677
quigley@15642
   678
quigley@15642
   679
                       in
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   680
                           isar_proof
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   681
                       end
quigley@15642
   682
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   683
(* get fix vars from axioms - all Frees *)
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   684
(* check each clause for meta-vars and /\ over them at each step*)
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   685
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   686
(*******************************************************)
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   687
(* This assumes the thm list  "numcls" is still there  *)
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   688
(* In reality, should probably label it with an        *)
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   689
(* ID number identifying the subgoal.  This could      *)
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   690
(* be passed over to the watcher, e.g.  numcls25       *)
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   691
(*******************************************************)
quigley@15642
   692
quigley@15642
   693
(* 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
   694
quigley@15642
   695
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
   696
quigley@15642
   697
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
   698
quigley@15642
   699
quigley@15642
   700
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
   701
quigley@15642
   702
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
   703
*)
quigley@15642
   704
quigley@15642
   705
fun apply_res_thm str goalstring  = let val tokens = fst (lex str);
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   706
quigley@15642
   707
                                   val (frees,recon_steps) = parse_step tokens 
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   708
                                   val isar_str = to_isar_proof (frees, recon_steps, goalstring)
quigley@15658
   709
                                   val foo =   TextIO.openOut (File.sysify_path(File.tmp_path (Path.basic "foobar")));
quigley@15642
   710
                               in 
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   711
                                  TextIO.output(foo,(isar_str));TextIO.closeOut foo;Pretty.writeln(Pretty.str  isar_str); () 
quigley@15642
   712
                               end 
quigley@15642
   713
quigley@15642
   714
paulson@15684
   715
end;