author | paulson |
Thu, 22 Sep 2005 14:09:48 +0200 | |
changeset 17583 | c272b91b619f |
parent 17569 | c1143a96f6d7 |
child 17690 | 8ba7c3cd24a8 |
permissions | -rw-r--r-- |
15789
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1 |
(* ID: $Id$ |
16259 | 2 |
Author: Claire Quigley |
3 |
Copyright 2004 University of Cambridge |
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15789
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added hearder lines and deleted some redundant material
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4 |
*) |
4cb16144c81b
added hearder lines and deleted some redundant material
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5 |
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15684
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Reconstruction code, now packaged to avoid name clashes
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structure Recon_Transfer = |
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7 |
struct |
16803 | 8 |
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open Recon_Parse |
16803 | 10 |
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infixr 8 ++; infixr 7 >>; infixr 6 ||; |
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15642 | 13 |
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14 |
(* Versions that include type information *) |
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15 |
||
16803 | 16 |
(* FIXME rename to str_of_thm *) |
16157 | 17 |
fun string_of_thm thm = |
16803 | 18 |
setmp show_sorts true (Pretty.str_of o Display.pretty_thm) thm; |
15642 | 19 |
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20 |
||
21 |
(* check separate args in the watcher program for separating strings with a * or ; or something *) |
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22 |
||
23 |
fun clause_strs_to_string [] str = str |
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24 |
| clause_strs_to_string (x::xs) str = clause_strs_to_string xs (str^x^"%") |
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25 |
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26 |
fun thmvars_to_string [] str = str |
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27 |
| thmvars_to_string (x::xs) str = thmvars_to_string xs (str^x^"%") |
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28 |
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30 |
fun proofstep_to_string Axiom = "Axiom()" |
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16091 | 31 |
| proofstep_to_string (Binary ((a,b), (c,d)))= |
32 |
"Binary(("^(string_of_int a)^","^(string_of_int b)^"),("^(string_of_int c)^","^(string_of_int d)^"))" |
|
33 |
| proofstep_to_string (Factor (a,b,c)) = |
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34 |
"Factor("^(string_of_int a)^","^(string_of_int b)^","^(string_of_int c)^")" |
|
35 |
| proofstep_to_string (Para ((a,b), (c,d)))= |
|
36 |
"Para(("^(string_of_int a)^","^(string_of_int b)^"),("^(string_of_int c)^","^(string_of_int d)^"))" |
|
37 |
| proofstep_to_string (MRR ((a,b), (c,d))) = |
|
38 |
"MRR(("^(string_of_int a)^","^(string_of_int b)^"),("^(string_of_int c)^","^(string_of_int d)^"))" |
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16548
aa36ae6b955e
Temporarily removed Rewrite from the translation code so that parsing with work on lists of numbers.
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39 |
(*| proofstep_to_string (Rewrite((a,b),(c,d))) = |
aa36ae6b955e
Temporarily removed Rewrite from the translation code so that parsing with work on lists of numbers.
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"Rewrite(("^(string_of_int a)^","^(string_of_int b)^"),("^(string_of_int c)^","^(string_of_int d)^"))"*) |
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||
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fun proof_to_string (num,(step,clause_strs, thmvars)) = |
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(string_of_int num)^(proofstep_to_string step)^ |
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"["^(clause_strs_to_string clause_strs "")^"]["^(thmvars_to_string thmvars "")^"]" |
15642 | 46 |
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47 |
||
48 |
fun proofs_to_string [] str = str |
|
49 |
| proofs_to_string (x::xs) str = let val newstr = proof_to_string x |
|
50 |
in |
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51 |
proofs_to_string xs (str^newstr) |
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52 |
end |
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53 |
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54 |
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||
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fun init_proofstep_to_string (num, step, clause_strs) = |
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(string_of_int num)^" "^(proofstep_to_string step)^" "^ |
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58 |
(clause_strs_to_string clause_strs "")^" " |
15642 | 59 |
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60 |
fun init_proofsteps_to_string [] str = str |
|
61 |
| init_proofsteps_to_string (x::xs) str = let val newstr = init_proofstep_to_string x |
|
62 |
in |
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63 |
init_proofsteps_to_string xs (str^newstr) |
|
64 |
end |
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65 |
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66 |
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67 |
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68 |
(*** get a string representing the Isabelle ordered axioms ***) |
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69 |
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16061 | 70 |
fun origAx_to_string (num,(meta,thmvars)) = |
71 |
let val clause_strs = ReconOrderClauses.get_meta_lits_bracket meta |
|
72 |
in |
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16091 | 73 |
(string_of_int num)^"OrigAxiom()["^ |
74 |
(clause_strs_to_string clause_strs "")^"]["^ |
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16061 | 75 |
(thmvars_to_string thmvars "")^"]" |
76 |
end |
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15642 | 77 |
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78 |
||
79 |
fun origAxs_to_string [] str = str |
|
80 |
| origAxs_to_string (x::xs) str = let val newstr = origAx_to_string x |
|
81 |
in |
|
82 |
origAxs_to_string xs (str^newstr) |
|
83 |
end |
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84 |
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85 |
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86 |
(*** get a string representing the Isabelle ordered axioms not used in the spass proof***) |
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16061 | 88 |
fun extraAx_to_string (num, (meta,thmvars)) = |
89 |
let val clause_strs = ReconOrderClauses.get_meta_lits_bracket meta |
|
90 |
in |
|
16091 | 91 |
(string_of_int num)^"ExtraAxiom()["^ |
16061 | 92 |
(clause_strs_to_string clause_strs "")^"]"^ |
93 |
"["^(thmvars_to_string thmvars "")^"]" |
|
94 |
end; |
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15642 | 95 |
|
16061 | 96 |
fun extraAxs_to_string [] str = str |
97 |
| extraAxs_to_string (x::xs) str = |
|
98 |
let val newstr = extraAx_to_string x |
|
99 |
in |
|
100 |
extraAxs_to_string xs (str^newstr) |
|
101 |
end; |
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15642 | 102 |
|
17312 | 103 |
fun is_axiom (_,Axiom,str) = true |
104 |
| is_axiom (_,_,_) = false |
|
15642 | 105 |
|
106 |
fun get_step_nums [] nums = nums |
|
107 |
| get_step_nums (( num:int,Axiom, str)::xs) nums = get_step_nums xs (nums@[num]) |
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108 |
||
15774 | 109 |
exception Noassoc; |
110 |
||
111 |
fun assoc_snd a [] = raise Noassoc |
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15642 | 112 |
| assoc_snd a ((x, y)::t) = if a = y then x else assoc_snd a t; |
113 |
||
114 |
(* 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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115 |
||
116 |
(*fun get_assoc_snds [] xs assocs= assocs |
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117 |
| get_assoc_snds (x::xs) ys assocs = get_assoc_snds xs ys (assocs@[((assoc_snd x ys))]) |
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118 |
*) |
|
119 |
(*FIX - should this have vars in it? *) |
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16061 | 120 |
fun there_out_of_order xs ys = (ReconOrderClauses.checkorder xs ys [] ([],[],[]); true) |
15774 | 121 |
handle _ => false |
15642 | 122 |
|
15774 | 123 |
fun assoc_out_of_order a [] = raise Noassoc |
15642 | 124 |
| assoc_out_of_order a ((b,c)::t) = if there_out_of_order a c then b else assoc_out_of_order a t; |
125 |
||
126 |
fun get_assoc_snds [] xs assocs= assocs |
|
127 |
| get_assoc_snds (x::xs) ys assocs = get_assoc_snds xs ys (assocs@[((assoc_out_of_order x ys))]) |
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128 |
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129 |
fun add_if_not_inlist [] xs newlist = newlist |
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16157 | 130 |
| add_if_not_inlist (y::ys) xs newlist = if (not (y mem xs)) then |
15642 | 131 |
add_if_not_inlist ys xs (y::newlist) |
132 |
else add_if_not_inlist ys xs (newlist) |
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133 |
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(*Flattens a list of list of strings to one string*) |
135 |
fun onestr ls = String.concat (map String.concat ls); |
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15642 | 136 |
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fun is_clasimp_ax clasimp_num n = n <= clasimp_num |
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138 |
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Fixed array containing clasimpset rules. Added flags to turn on and off reconstruction and full spass
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139 |
fun subone x = x - 1 |
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141 |
fun numstr [] = "" |
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Fixed array containing clasimpset rules. Added flags to turn on and off reconstruction and full spass
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142 |
| numstr (x::xs) = (string_of_int x)^"%"^(numstr xs) |
2f6fc19aba1e
Fixed array containing clasimpset rules. Added flags to turn on and off reconstruction and full spass
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143 |
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Replaced reference to SPASS with general one - set SPASS_HOME in settings file.
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144 |
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b30a35432f5a
Replaced reference to SPASS with general one - set SPASS_HOME in settings file.
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145 |
(* retrieve the axioms that were obtained from the clasimpset *) |
b30a35432f5a
Replaced reference to SPASS with general one - set SPASS_HOME in settings file.
quigley
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146 |
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17484
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simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
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147 |
fun get_clasimp_cls (clause_arr: (ResClause.clause * thm) array) step_nums = |
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148 |
let val clasimp_nums = List.filter (is_clasimp_ax (Array.length clause_arr - 1)) |
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149 |
(map subone step_nums) |
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150 |
(* val _ = File.write (File.tmp_path (Path.basic "axnums")) |
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151 |
(numstr clasimp_nums) *) |
16157 | 152 |
in |
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153 |
map (fn x => Array.sub(clause_arr, x)) clasimp_nums |
16157 | 154 |
end |
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155 |
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Fixed array containing clasimpset rules. Added flags to turn on and off reconstruction and full spass
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156 |
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16357 | 157 |
(*****************************************************) |
158 |
(* get names of clasimp axioms used *) |
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159 |
(*****************************************************) |
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160 |
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17488
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161 |
fun get_axiom_names step_nums clause_arr = |
16157 | 162 |
let |
163 |
(* not sure why this is necessary again, but seems to be *) |
|
164 |
val _ = (print_mode := (Library.gen_rems (op =) (! print_mode, ["xsymbols", "symbols"]))) |
|
165 |
||
166 |
(***********************************************) |
|
167 |
(* here need to add the clauses from clause_arr*) |
|
168 |
(***********************************************) |
|
169 |
||
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170 |
val clasimp_names_cls = get_clasimp_cls clause_arr step_nums |
17317
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Isabelle-ATP link: sortable axiom names; no spaces in switches; general tidying
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171 |
val clasimp_names = map (ResClause.get_axiomName o #1) clasimp_names_cls |
16157 | 172 |
val _ = File.write (File.tmp_path (Path.basic "clasimp_names")) |
173 |
(concat clasimp_names) |
|
174 |
val _ = (print_mode := (["xsymbols", "symbols"] @ ! print_mode)) |
|
175 |
in |
|
176 |
clasimp_names |
|
177 |
end |
|
17306 | 178 |
|
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179 |
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180 |
fun get_axiom_names_spass proofstr clause_arr = |
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181 |
let (* parse spass proof into datatype *) |
17484
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182 |
val _ = File.write (File.tmp_path (Path.basic "parsing_progress")) |
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183 |
("Started parsing:\n" ^ proofstr) |
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184 |
val tokens = #1(lex proofstr) |
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185 |
val proof_steps = parse tokens |
17484
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186 |
val _ = File.append (File.tmp_path (Path.basic "parsing_progress")) "\nFinished!" |
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187 |
(* get axioms as correctly numbered clauses w.r.t. the Spass proof *) |
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188 |
in |
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189 |
get_axiom_names (get_step_nums (List.filter is_axiom proof_steps) []) clause_arr |
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190 |
end; |
16357 | 191 |
|
17569 | 192 |
(*String contains multiple lines. |
17484
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193 |
A list consisting of the first number in each line is returned. *) |
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194 |
fun get_linenums proofstr = |
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195 |
let val numerics = String.tokens (not o Char.isDigit) |
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196 |
fun firstno [] = NONE |
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197 |
| firstno (x::xs) = Int.fromString x |
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198 |
val lines = String.tokens (fn c => c = #"\n") proofstr |
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199 |
in List.mapPartial (firstno o numerics) lines end |
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|
200 |
|
17569 | 201 |
fun get_axiom_names_e proofstr clause_arr = |
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202 |
get_axiom_names (get_linenums proofstr) clause_arr; |
17306 | 203 |
|
17569 | 204 |
(*String contains multiple lines. We want those of the form |
205 |
"*********** [448, input] ***********". |
|
206 |
A list consisting of the first number in each line is returned. *) |
|
207 |
fun get_vamp_linenums proofstr = |
|
208 |
let val toks = String.tokens (not o Char.isAlphaNum) |
|
209 |
fun inputno [n,"input"] = Int.fromString n |
|
210 |
| inputno _ = NONE |
|
211 |
val lines = String.tokens (fn c => c = #"\n") proofstr |
|
212 |
in List.mapPartial (inputno o toks) lines end |
|
213 |
||
214 |
fun get_axiom_names_vamp proofstr clause_arr = |
|
215 |
get_axiom_names (get_vamp_linenums proofstr) clause_arr; |
|
216 |
||
17235
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Added ECommunication.ML and modified res_atp.ML, Reconstruction.thy, and
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|
217 |
|
16357 | 218 |
(***********************************************) |
219 |
(* get axioms for reconstruction *) |
|
220 |
(***********************************************) |
|
16156
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Fixed array containing clasimpset rules. Added flags to turn on and off reconstruction and full spass
quigley
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diff
changeset
|
221 |
fun numclstr (vars, []) str = str |
16157 | 222 |
| numclstr ( vars, ((num, thm)::rest)) str = |
223 |
let val newstr = str^(string_of_int num)^" "^(string_of_thm thm)^" " |
|
224 |
in |
|
225 |
numclstr (vars,rest) newstr |
|
226 |
end |
|
15919
b30a35432f5a
Replaced reference to SPASS with general one - set SPASS_HOME in settings file.
quigley
parents:
15817
diff
changeset
|
227 |
|
16157 | 228 |
fun addvars c (a,b) = (a,b,c) |
15919
b30a35432f5a
Replaced reference to SPASS with general one - set SPASS_HOME in settings file.
quigley
parents:
15817
diff
changeset
|
229 |
|
17484
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simplification of the Isabelle-ATP code; hooks for batch generation of problems
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17422
diff
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|
230 |
fun get_axioms_used proof_steps thms clause_arr = |
17315
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diff
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|
231 |
let |
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paulson
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17312
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|
232 |
val _= (print_mode := (Library.gen_rems (op =) (! print_mode, ["xsymbols", "symbols"]))) |
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val axioms = (List.filter is_axiom) proof_steps |
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234 |
val step_nums = get_step_nums axioms [] |
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235 |
|
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236 |
val clauses = make_clauses thms (*FIXME: must this be repeated??*) |
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237 |
|
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238 |
val vars = map thm_vars clauses |
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239 |
|
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240 |
val distvars = distinct (fold append vars []) |
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241 |
val clause_terms = map prop_of clauses |
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242 |
val clause_frees = List.concat (map term_frees clause_terms) |
15642 | 243 |
|
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val frees = map lit_string_with_nums clause_frees; |
15642 | 245 |
|
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246 |
val distfrees = distinct frees |
15642 | 247 |
|
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248 |
val metas = map Meson.make_meta_clause clauses |
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249 |
val ax_strs = map #3 axioms |
15642 | 250 |
|
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251 |
(* literals of -all- axioms, not just those used by spass *) |
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252 |
val meta_strs = map ReconOrderClauses.get_meta_lits metas |
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253 |
|
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254 |
val metas_and_strs = ListPair.zip (metas,meta_strs) |
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255 |
val _ = File.write(File.tmp_path (Path.basic "foo_clauses")) (onestr ax_strs) |
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256 |
val _ = File.write(File.tmp_path (Path.basic "foo_metastrs")) (onestr meta_strs) |
15642 | 257 |
|
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258 |
(* get list of axioms as thms with their variables *) |
15642 | 259 |
|
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260 |
val ax_metas = get_assoc_snds ax_strs metas_and_strs [] |
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261 |
val ax_vars = map thm_vars ax_metas |
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262 |
val ax_with_vars = ListPair.zip (ax_metas,ax_vars) |
15642 | 263 |
|
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264 |
(* get list of extra axioms as thms with their variables *) |
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265 |
val extra_metas = add_if_not_inlist metas ax_metas [] |
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266 |
val extra_vars = map thm_vars extra_metas |
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267 |
val extra_with_vars = if (not (extra_metas = []) ) |
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268 |
then ListPair.zip (extra_metas,extra_vars) |
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269 |
else [] |
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270 |
in |
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271 |
(distfrees,distvars, extra_with_vars,ax_with_vars, ListPair.zip (step_nums,ax_metas)) |
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272 |
end; |
16905 | 273 |
|
15642 | 274 |
|
275 |
(*********************************************************************) |
|
276 |
(* Pass in spass string of proof and string version of isabelle goal *) |
|
277 |
(* Get out reconstruction steps as a string to be sent to Isabelle *) |
|
278 |
(*********************************************************************) |
|
279 |
||
17122 | 280 |
fun rules_to_string [] = "NONE" |
281 |
| rules_to_string xs = "[" ^ space_implode ", " xs ^ "]" |
|
16357 | 282 |
|
16905 | 283 |
fun subst_for a b = String.translate (fn c => str (if c=a then b else c)); |
16357 | 284 |
|
16905 | 285 |
val remove_linebreaks = subst_for #"\n" #"\t"; |
286 |
val restore_linebreaks = subst_for #"\t" #"\n"; |
|
16357 | 287 |
|
16478 | 288 |
|
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289 |
fun prover_lemma_list_aux getax proofstr goalstring toParent ppid clause_arr = |
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290 |
let val _ = File.append(File.tmp_path (Path.basic "prover_lemmastring")) |
17422 | 291 |
("proofstr is " ^ proofstr ^ |
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292 |
"\ngoalstr is " ^ goalstring ^ |
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293 |
"\nnum of clauses is " ^ string_of_int (Array.length clause_arr)) |
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294 |
val axiom_names = getax proofstr clause_arr |
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295 |
val ax_str = rules_to_string axiom_names |
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|
296 |
in |
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297 |
File.append(File.tmp_path (Path.basic "prover_lemmastring")) |
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298 |
("\nlemma list is: " ^ ax_str); |
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|
299 |
TextIO.output (toParent, "Success. Lemmas used in automatic proof: " ^ |
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300 |
ax_str ^ "\n"); |
17312 | 301 |
TextIO.output (toParent, "goalstring: "^goalstring^"\n"); |
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|
302 |
TextIO.flushOut toParent; |
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|
303 |
|
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|
304 |
Posix.Process.kill(Posix.Process.K_PROC ppid, Posix.Signal.usr2) |
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|
305 |
end |
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|
306 |
handle exn => (*FIXME: exn handler is too general!*) |
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|
307 |
(File.write(File.tmp_path (Path.basic "proverString_handler")) |
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|
308 |
("In exception handler: " ^ Toplevel.exn_message exn); |
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|
309 |
TextIO.output (toParent, "Translation failed for the proof: " ^ |
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310 |
remove_linebreaks proofstr ^ "\n"); |
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|
311 |
TextIO.output (toParent, remove_linebreaks goalstring ^ "\n"); |
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|
312 |
TextIO.flushOut toParent; |
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|
313 |
Posix.Process.kill(Posix.Process.K_PROC ppid, Posix.Signal.usr2)); |
17235
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|
314 |
|
17569 | 315 |
val e_lemma_list = prover_lemma_list_aux get_axiom_names_e; |
316 |
||
317 |
val vamp_lemma_list = prover_lemma_list_aux get_axiom_names_vamp; |
|
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|
318 |
|
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319 |
val spass_lemma_list = prover_lemma_list_aux get_axiom_names_spass; |
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|
320 |
|
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|
321 |
|
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322 |
(**** Full proof reconstruction for SPASS (not really working) ****) |
15642 | 323 |
|
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324 |
fun spass_reconstruct proofstr goalstring toParent ppid thms clause_arr = |
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|
325 |
let val _ = File.write(File.tmp_path (Path.basic "prover_reconstruction")) |
17422 | 326 |
("proofstr is: "^proofstr) |
16905 | 327 |
val tokens = #1(lex proofstr) |
15782 | 328 |
|
16905 | 329 |
(***********************************) |
330 |
(* parse spass proof into datatype *) |
|
331 |
(***********************************) |
|
17306 | 332 |
val proof_steps = parse tokens |
15919
b30a35432f5a
Replaced reference to SPASS with general one - set SPASS_HOME in settings file.
quigley
parents:
15817
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changeset
|
333 |
|
17484
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|
334 |
val _ = File.append (File.tmp_path (Path.basic "prover_reconstruction")) |
16905 | 335 |
("Did parsing on "^proofstr) |
336 |
||
337 |
(************************************) |
|
338 |
(* recreate original subgoal as thm *) |
|
339 |
(************************************) |
|
340 |
(* get axioms as correctly numbered clauses w.r.t. the Spass proof *) |
|
341 |
(* need to get prems_of thm, then get right one of the prems, relating to whichever*) |
|
342 |
(* subgoal this is, and turn it into meta_clauses *) |
|
343 |
(* should prob add array and table here, so that we can get axioms*) |
|
344 |
(* produced from the clasimpset rather than the problem *) |
|
17484
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|
345 |
val (frees,vars,extra_with_vars ,ax_with_vars,numcls) = get_axioms_used proof_steps thms clause_arr |
16905 | 346 |
|
347 |
(*val numcls_string = numclstr ( vars, numcls) ""*) |
|
17484
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|
348 |
val _ = File.append (File.tmp_path (Path.basic "prover_reconstruction")) "got axioms" |
16061 | 349 |
|
16905 | 350 |
(************************************) |
351 |
(* translate proof *) |
|
352 |
(************************************) |
|
17484
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|
353 |
val _ = File.append (File.tmp_path (Path.basic "prover_reconstruction")) |
16905 | 354 |
("about to translate proof, steps: " |
355 |
^(init_proofsteps_to_string proof_steps "")) |
|
356 |
val (newthm,proof) = translate_proof numcls proof_steps vars |
|
17484
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|
357 |
val _ = File.append (File.tmp_path (Path.basic "prover_reconstruction")) |
16905 | 358 |
("translated proof, steps: "^(init_proofsteps_to_string proof_steps "")) |
359 |
(***************************************************) |
|
360 |
(* transfer necessary steps as strings to Isabelle *) |
|
361 |
(***************************************************) |
|
362 |
(* turn the proof into a string *) |
|
363 |
val reconProofStr = proofs_to_string proof "" |
|
364 |
(* do the bit for the Isabelle ordered axioms at the top *) |
|
365 |
val ax_nums = map #1 numcls |
|
366 |
val ax_strs = map ReconOrderClauses.get_meta_lits_bracket (map #2 numcls) |
|
367 |
val numcls_strs = ListPair.zip (ax_nums,ax_strs) |
|
368 |
val num_cls_vars = map (addvars vars) numcls_strs; |
|
369 |
val reconIsaAxStr = origAxs_to_string (ListPair.zip (ax_nums,ax_with_vars)) "" |
|
370 |
||
371 |
val extra_nums = if (not (extra_with_vars = [])) then (1 upto (length extra_with_vars)) |
|
372 |
else [] |
|
373 |
val reconExtraAxStr = extraAxs_to_string ( ListPair.zip (extra_nums,extra_with_vars)) "" |
|
374 |
val frees_str = "["^(thmvars_to_string frees "")^"]" |
|
375 |
val _ = File.write (File.tmp_path (Path.basic "reconstringfile")) |
|
376 |
(frees_str^reconExtraAxStr^reconIsaAxStr^reconProofStr) |
|
377 |
val reconstr = (frees_str^reconExtraAxStr^reconIsaAxStr^reconProofStr) |
|
378 |
in |
|
379 |
TextIO.output (toParent, reconstr^"\n"); |
|
380 |
TextIO.output (toParent, goalstring^"\n"); |
|
381 |
TextIO.flushOut toParent; |
|
382 |
Posix.Process.kill(Posix.Process.K_PROC ppid, Posix.Signal.usr2); |
|
17583
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|
383 |
all_tac |
16905 | 384 |
end |
17484
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parents:
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diff
changeset
|
385 |
handle exn => (*FIXME: exn handler is too general!*) |
f6a225f97f0a
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parents:
17422
diff
changeset
|
386 |
(File.append(File.tmp_path (Path.basic "prover_reconstruction")) |
f6a225f97f0a
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changeset
|
387 |
("In exception handler: " ^ Toplevel.exn_message exn); |
f6a225f97f0a
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17422
diff
changeset
|
388 |
TextIO.output (toParent,"Translation failed for the proof:"^ |
17422 | 389 |
(remove_linebreaks proofstr) ^"\n"); |
390 |
TextIO.output (toParent, goalstring^"\n"); |
|
391 |
TextIO.flushOut toParent; |
|
17583
c272b91b619f
removal of "sleep" to stop looping in Poly/ML, and replacement of funny codes by tracing statements
paulson
parents:
17569
diff
changeset
|
392 |
Posix.Process.kill(Posix.Process.K_PROC ppid, Posix.Signal.usr2); all_tac) |
15642 | 393 |
|
394 |
(**********************************************************************************) |
|
395 |
(* At other end, want to turn back into datatype so can apply reconstruct_proof. *) |
|
396 |
(* This will be done by the signal handler *) |
|
397 |
(**********************************************************************************) |
|
398 |
||
399 |
(* Parse in the string version of the proof steps for reconstruction *) |
|
400 |
(* Isar format: cl1 [BINARY 0 cl2 0];cl1 [PARAMOD 0 cl2 0]; cl1 [DEMOD 0 cl2];cl1 [FACTOR 1 2];*) |
|
401 |
||
402 |
||
403 |
val term_numstep = |
|
404 |
(number ++ (a (Other ",")) ++ number) >> (fn (a, (_, c)) => (a, c)) |
|
405 |
||
406 |
val extraaxiomstep = (a (Word "ExtraAxiom"))++ (a (Other "(")) ++(a (Other ")")) |
|
407 |
>> (fn (_) => ExtraAxiom) |
|
408 |
||
409 |
||
410 |
||
411 |
val origaxiomstep = (a (Word "OrigAxiom"))++ (a (Other "(")) ++(a (Other ")")) |
|
412 |
>> (fn (_) => OrigAxiom) |
|
413 |
||
414 |
||
415 |
val axiomstep = (a (Word "Axiom"))++ (a (Other "(")) ++(a (Other ")")) |
|
416 |
>> (fn (_) => Axiom) |
|
417 |
||
418 |
||
419 |
||
420 |
||
421 |
val binarystep = (a (Word "Binary")) ++ (a (Other "(")) ++ (a (Other "(")) |
|
422 |
++ term_numstep ++ (a (Other ")")) ++ (a (Other ",")) |
|
423 |
++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")")) |
|
424 |
>> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => Binary (c,e)) |
|
425 |
||
426 |
||
427 |
val parastep = (a (Word "Para")) ++ (a (Other "(")) ++ (a (Other "(")) |
|
428 |
++ term_numstep ++ (a (Other ")")) ++ (a (Other ",")) |
|
429 |
++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")")) |
|
430 |
>> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => Para(c, e)) |
|
431 |
||
432 |
val mrrstep = (a (Word "MRR")) ++ (a (Other "(")) ++ (a (Other "(")) |
|
433 |
++ term_numstep ++ (a (Other ")")) ++ (a (Other ",")) |
|
434 |
++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")")) |
|
435 |
>> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => MRR(c, e)) |
|
436 |
||
437 |
||
438 |
val factorstep = (a (Word "Factor")) ++ (a (Other "(")) |
|
439 |
++ number ++ (a (Other ",")) |
|
440 |
++ number ++ (a (Other ",")) |
|
441 |
++ number ++ (a (Other ")")) |
|
442 |
||
443 |
>> (fn (_, (_, (c, (_, (e,(_,(f,_))))))) => Factor (c,e,f)) |
|
444 |
||
445 |
||
16548
aa36ae6b955e
Temporarily removed Rewrite from the translation code so that parsing with work on lists of numbers.
quigley
parents:
16520
diff
changeset
|
446 |
(*val rewritestep = (a (Word "Rewrite")) ++ (a (Other "(")) ++ (a (Other "(")) |
15642 | 447 |
++ term_numstep ++ (a (Other ")")) ++ (a (Other ",")) |
448 |
++ (a (Other "(")) ++ term_numstep ++ (a (Other ")")) ++ (a (Other ")")) |
|
16548
aa36ae6b955e
Temporarily removed Rewrite from the translation code so that parsing with work on lists of numbers.
quigley
parents:
16520
diff
changeset
|
449 |
>> (fn (_, (_, (_, (c, (_,(_,(_, (e,(_,_))))))))) => Rewrite (c,e))*) |
15642 | 450 |
|
451 |
val obviousstep = (a (Word "Obvious")) ++ (a (Other "(")) |
|
452 |
++ term_numstep ++ (a (Other ")")) |
|
453 |
>> (fn (_, (_, (c,_))) => Obvious (c)) |
|
454 |
||
16548
aa36ae6b955e
Temporarily removed Rewrite from the translation code so that parsing with work on lists of numbers.
quigley
parents:
16520
diff
changeset
|
455 |
val methodstep = extraaxiomstep || origaxiomstep || axiomstep ||binarystep || factorstep|| parastep || mrrstep || (*rewritestep ||*) obviousstep |
15642 | 456 |
|
457 |
||
458 |
val number_list_step = |
|
15739
bb2acfed8212
yet more tidying up: removal of some references to Main
paulson
parents:
15700
diff
changeset
|
459 |
( number ++ many ((a (Other ",") ++ number)>> #2)) |
15642 | 460 |
>> (fn (a,b) => (a::b)) |
461 |
||
462 |
val numberlist_step = a (Other "[") ++ a (Other "]") |
|
463 |
>>(fn (_,_) => ([]:int list)) |
|
464 |
|| a (Other "[") ++ number_list_step ++ a (Other "]") |
|
465 |
>>(fn (_,(a,_)) => a) |
|
466 |
||
467 |
||
468 |
||
469 |
(** change this to allow P (x U) *) |
|
17306 | 470 |
fun arglist_step input = |
471 |
( word ++ many word >> (fn (a, b) => (a^" "^(space_implode " " b))) |
|
472 |
||word >> (fn (a) => (a)))input |
|
15642 | 473 |
|
474 |
||
475 |
fun literal_step input = (word ++ a (Other "(") ++ arglist_step ++ a (Other ")") |
|
476 |
>>(fn (a, (b, (c,d))) => (a^" ("^(c)^")")) |
|
477 |
|| arglist_step >> (fn (a) => (a)))input |
|
478 |
||
479 |
||
480 |
||
481 |
(* fun term_step input = (a (Other "~") ++ arglist_step ++ a (Other "%")>> (fn (a,(b,c)) => ("~ "^b)) |
|
482 |
|| arglist_step ++ a (Other "%")>> (fn (a,b) => a ))input |
|
483 |
*) |
|
484 |
||
485 |
||
486 |
fun term_step input = (a (Other "~") ++ literal_step ++ a (Other "%")>> (fn (a,(b,c)) => ("~ "^b)) |
|
487 |
|| literal_step ++ a (Other "%")>> (fn (a,b) => a ))input |
|
488 |
||
489 |
||
490 |
||
491 |
||
492 |
val term_list_step = |
|
493 |
( term_step ++ many ( term_step)) |
|
494 |
>> (fn (a,b) => (a::b)) |
|
495 |
||
496 |
||
497 |
val term_lists_step = a (Other "[") ++ a (Other "]") |
|
498 |
>>(fn (_,_) => ([]:string list)) |
|
499 |
|| a (Other "[") ++ term_list_step ++ a (Other "]") |
|
500 |
>>(fn (_,(a,_)) => a) |
|
501 |
||
502 |
||
503 |
||
504 |
||
505 |
fun anytoken_step input = (word>> (fn (a) => a) ) input |
|
506 |
handle NOPARSE_WORD => (number>> (fn (a) => string_of_int a) ) input |
|
507 |
handle NOPARSE_NUMBER => (other_char >> (fn(a) => a)) input |
|
508 |
||
509 |
||
510 |
||
511 |
fun goalstring_step input= (anytoken_step ++ many (anytoken_step ) |
|
512 |
>> (fn (a,b) => (a^" "^(implode b)))) input |
|
513 |
||
514 |
||
515 |
||
516 |
val linestep = number ++ methodstep ++ term_lists_step ++ term_lists_step |
|
517 |
>> (fn (a, (b, (c,d))) => (a,(b,c,d))) |
|
518 |
||
519 |
val lines_step = many linestep |
|
520 |
||
15739
bb2acfed8212
yet more tidying up: removal of some references to Main
paulson
parents:
15700
diff
changeset
|
521 |
val alllines_step = (term_lists_step ++ lines_step ) ++ finished >> #1 |
15642 | 522 |
|
15739
bb2acfed8212
yet more tidying up: removal of some references to Main
paulson
parents:
15700
diff
changeset
|
523 |
val parse_step = #1 o alllines_step |
15642 | 524 |
|
525 |
||
526 |
(* |
|
527 |
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)" |
|
528 |
*) |
|
529 |
||
530 |
(************************************************************) |
|
531 |
(* Construct an Isar style proof from a list of proof steps *) |
|
532 |
(************************************************************) |
|
533 |
(* want to assume all axioms, then do haves for the other clauses*) |
|
534 |
(* then show for the last step *) |
|
535 |
||
536 |
(* replace ~ by not here *) |
|
17317
3f12de2e2e6e
Isabelle-ATP link: sortable axiom names; no spaces in switches; general tidying
paulson
parents:
17315
diff
changeset
|
537 |
val change_nots = String.translate (fn c => if c = #"~" then "\\<not>" else str c); |
15642 | 538 |
|
17317
3f12de2e2e6e
Isabelle-ATP link: sortable axiom names; no spaces in switches; general tidying
paulson
parents:
17315
diff
changeset
|
539 |
fun clstrs_to_string xs = space_implode "; " (map change_nots xs); |
15642 | 540 |
|
541 |
fun thmvars_to_quantstring [] str = str |
|
542 |
| thmvars_to_quantstring (x::[]) str =str^x^". " |
|
543 |
| thmvars_to_quantstring (x::xs) str = thmvars_to_quantstring xs (str^(x^" ")) |
|
544 |
||
545 |
||
17317
3f12de2e2e6e
Isabelle-ATP link: sortable axiom names; no spaces in switches; general tidying
paulson
parents:
17315
diff
changeset
|
546 |
fun clause_strs_to_isar clstrs [] = |
3f12de2e2e6e
Isabelle-ATP link: sortable axiom names; no spaces in switches; general tidying
paulson
parents:
17315
diff
changeset
|
547 |
"\"\\<lbrakk>"^(clstrs_to_string clstrs)^"\\<rbrakk> \\<Longrightarrow> False\"" |
3f12de2e2e6e
Isabelle-ATP link: sortable axiom names; no spaces in switches; general tidying
paulson
parents:
17315
diff
changeset
|
548 |
| clause_strs_to_isar clstrs thmvars = |
3f12de2e2e6e
Isabelle-ATP link: sortable axiom names; no spaces in switches; general tidying
paulson
parents:
17315
diff
changeset
|
549 |
"\"\\<And>"^(thmvars_to_quantstring thmvars "")^ |
3f12de2e2e6e
Isabelle-ATP link: sortable axiom names; no spaces in switches; general tidying
paulson
parents:
17315
diff
changeset
|
550 |
"\\<lbrakk>"^(clstrs_to_string clstrs)^"\\<rbrakk> \\<Longrightarrow> False\"" |
15642 | 551 |
|
17317
3f12de2e2e6e
Isabelle-ATP link: sortable axiom names; no spaces in switches; general tidying
paulson
parents:
17315
diff
changeset
|
552 |
fun frees_to_isar_str clstrs = space_implode " " (map change_nots clstrs) |
15642 | 553 |
|
554 |
||
555 |
(***********************************************************************) |
|
556 |
(* functions for producing assumptions for the Isabelle ordered axioms *) |
|
557 |
(***********************************************************************) |
|
558 |
(*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))[][]"; |
|
559 |
num, rule, clausestrs, vars*) |
|
560 |
||
561 |
||
562 |
(* assume the extra clauses - not used in Spass proof *) |
|
563 |
||
564 |
fun is_extraaxiom_step ( num:int,(ExtraAxiom, str, tstr)) = true |
|
565 |
| is_extraaxiom_step (num, _) = false |
|
566 |
||
567 |
fun get_extraaxioms xs = List.filter (is_extraaxiom_step) ( xs) |
|
568 |
||
569 |
fun assume_isar_extraaxiom [] str = str |
|
570 |
| 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 " ) |
|
571 |
||
572 |
||
573 |
||
574 |
fun assume_isar_extraaxioms [] = "" |
|
575 |
|assume_isar_extraaxioms ((numb,(step, clstrs, thmstrs))::xs) = let val str = "assume cl"^(string_of_int numb)^"': "^(clause_strs_to_isar clstrs thmstrs)^"\n" |
|
576 |
in |
|
577 |
assume_isar_extraaxiom xs str |
|
578 |
end |
|
579 |
||
580 |
(* assume the Isabelle ordered clauses *) |
|
581 |
||
582 |
fun is_origaxiom_step ( num:int,(OrigAxiom, str, tstr)) = true |
|
583 |
| is_origaxiom_step (num, _) = false |
|
584 |
||
585 |
fun get_origaxioms xs = List.filter (is_origaxiom_step) ( xs) |
|
586 |
||
587 |
fun assume_isar_origaxiom [] str = str |
|
588 |
| 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 " ) |
|
589 |
||
590 |
||
591 |
||
592 |
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" |
|
593 |
in |
|
594 |
assume_isar_origaxiom xs str |
|
595 |
end |
|
596 |
||
597 |
||
598 |
||
599 |
fun is_axiom_step ( num:int,(Axiom, str, tstr)) = true |
|
600 |
| is_axiom_step (num, _) = false |
|
601 |
||
602 |
fun get_axioms xs = List.filter (is_axiom_step) ( xs) |
|
603 |
||
604 |
fun have_isar_axiomline (numb,(step, clstrs, thmstrs))="have cl"^(string_of_int numb)^": "^(clause_strs_to_isar clstrs thmstrs)^"\n" |
|
605 |
||
606 |
fun by_isar_axiomline (numb,(step, clstrs, thmstrs))="by (rule cl"^ (string_of_int numb)^"') \n" |
|
607 |
||
608 |
||
609 |
fun isar_axiomline (numb, (step, clstrs, thmstrs)) = (have_isar_axiomline (numb,(step,clstrs, thmstrs )))^( by_isar_axiomline(numb,(step,clstrs, thmstrs )) ) |
|
610 |
||
611 |
||
612 |
fun isar_axiomlines [] str = str |
|
613 |
| isar_axiomlines (x::xs) str = isar_axiomlines xs (str^(isar_axiomline x)) |
|
614 |
||
615 |
||
616 |
fun have_isar_line (numb,(step, clstrs, thmstrs))="have cl"^(string_of_int numb)^": "^(clause_strs_to_isar clstrs thmstrs)^"\n" |
|
16357 | 617 |
(*FIX: ask Larry to add and mrr attribute *) |
15642 | 618 |
|
16091 | 619 |
fun by_isar_line ((Binary ((a,b), (c,d)))) = |
620 |
"by(rule cl"^ |
|
621 |
(string_of_int a)^" [binary "^(string_of_int b)^" cl"^ |
|
622 |
(string_of_int c)^" "^(string_of_int d)^"])\n" |
|
16357 | 623 |
|by_isar_line ((MRR ((a,b), (c,d)))) = |
624 |
"by(rule cl"^ |
|
625 |
(string_of_int a)^" [binary "^(string_of_int b)^" cl"^ |
|
626 |
(string_of_int c)^" "^(string_of_int d)^"])\n" |
|
16091 | 627 |
| by_isar_line ( (Para ((a,b), (c,d)))) = |
628 |
"by (rule cl"^ |
|
629 |
(string_of_int a)^" [paramod "^(string_of_int b)^" cl"^ |
|
630 |
(string_of_int c)^" "^(string_of_int d)^"])\n" |
|
631 |
| by_isar_line ((Factor ((a,b,c)))) = |
|
632 |
"by (rule cl"^(string_of_int a)^" [factor "^(string_of_int b)^" "^ |
|
633 |
(string_of_int c)^" ])\n" |
|
16548
aa36ae6b955e
Temporarily removed Rewrite from the translation code so that parsing with work on lists of numbers.
quigley
parents:
16520
diff
changeset
|
634 |
(*| by_isar_line ( (Rewrite ((a,b),(c,d)))) = |
16091 | 635 |
"by (rule cl"^(string_of_int a)^" [demod "^(string_of_int b)^" "^ |
16548
aa36ae6b955e
Temporarily removed Rewrite from the translation code so that parsing with work on lists of numbers.
quigley
parents:
16520
diff
changeset
|
636 |
(string_of_int c)^" "^(string_of_int d)^" ])\n"*) |
16091 | 637 |
| by_isar_line ( (Obvious ((a,b)))) = |
638 |
"by (rule cl"^(string_of_int a)^" [obvious "^(string_of_int b)^" ])\n" |
|
15642 | 639 |
|
640 |
fun isar_line (numb, (step, clstrs, thmstrs)) = (have_isar_line (numb,(step,clstrs, thmstrs )))^( by_isar_line step) |
|
641 |
||
642 |
||
643 |
fun isar_lines [] str = str |
|
644 |
| isar_lines (x::xs) str = isar_lines xs (str^(isar_line x)) |
|
645 |
||
646 |
fun last_isar_line (numb,( step, clstrs,thmstrs)) = "show \"False\"\n"^(by_isar_line step) |
|
647 |
||
648 |
||
16091 | 649 |
fun to_isar_proof (frees, xs, goalstring) = |
650 |
let val extraaxioms = get_extraaxioms xs |
|
651 |
val extraax_num = length extraaxioms |
|
652 |
val origaxioms_and_steps = Library.drop (extraax_num, xs) |
|
653 |
||
654 |
val origaxioms = get_origaxioms origaxioms_and_steps |
|
655 |
val origax_num = length origaxioms |
|
656 |
val axioms_and_steps = Library.drop (origax_num + extraax_num, xs) |
|
657 |
val axioms = get_axioms axioms_and_steps |
|
658 |
||
659 |
val steps = Library.drop (origax_num, axioms_and_steps) |
|
660 |
val firststeps = ReconOrderClauses.butlast steps |
|
17312 | 661 |
val laststep = List.last steps |
16091 | 662 |
val goalstring = implode(ReconOrderClauses.butlast(explode goalstring)) |
663 |
||
664 |
val isar_proof = |
|
665 |
("show \""^goalstring^"\"\n")^ |
|
666 |
("proof (rule ccontr,skolemize, make_clauses) \n")^ |
|
667 |
("fix "^(frees_to_isar_str frees)^"\n")^ |
|
668 |
(assume_isar_extraaxioms extraaxioms)^ |
|
669 |
(assume_isar_origaxioms origaxioms)^ |
|
670 |
(isar_axiomlines axioms "")^ |
|
671 |
(isar_lines firststeps "")^ |
|
672 |
(last_isar_line laststep)^ |
|
673 |
("qed") |
|
16905 | 674 |
val _ = File.write (File.tmp_path (Path.basic "isar_proof_file")) isar_proof |
16091 | 675 |
in |
676 |
isar_proof |
|
677 |
end; |
|
15642 | 678 |
|
679 |
(* get fix vars from axioms - all Frees *) |
|
680 |
(* check each clause for meta-vars and /\ over them at each step*) |
|
681 |
||
682 |
(*******************************************************) |
|
683 |
(* This assumes the thm list "numcls" is still there *) |
|
684 |
(* In reality, should probably label it with an *) |
|
685 |
(* ID number identifying the subgoal. This could *) |
|
686 |
(* be passed over to the watcher, e.g. numcls25 *) |
|
687 |
(*******************************************************) |
|
688 |
||
17315
5bf0e0aacc24
consolidation of duplicate code in Isabelle-ATP linkup
paulson
parents:
17312
diff
changeset
|
689 |
fun apply_res_thm str goalstring = |
5bf0e0aacc24
consolidation of duplicate code in Isabelle-ATP linkup
paulson
parents:
17312
diff
changeset
|
690 |
let val tokens = #1 (lex str); |
5bf0e0aacc24
consolidation of duplicate code in Isabelle-ATP linkup
paulson
parents:
17312
diff
changeset
|
691 |
val _ = File.append (File.tmp_path (Path.basic "apply_res_1")) |
5bf0e0aacc24
consolidation of duplicate code in Isabelle-ATP linkup
paulson
parents:
17312
diff
changeset
|
692 |
("str is: "^str^" goalstr is: "^goalstring^"\n") |
5bf0e0aacc24
consolidation of duplicate code in Isabelle-ATP linkup
paulson
parents:
17312
diff
changeset
|
693 |
val (frees,recon_steps) = parse_step tokens |
5bf0e0aacc24
consolidation of duplicate code in Isabelle-ATP linkup
paulson
parents:
17312
diff
changeset
|
694 |
in |
17583
c272b91b619f
removal of "sleep" to stop looping in Poly/ML, and replacement of funny codes by tracing statements
paulson
parents:
17569
diff
changeset
|
695 |
to_isar_proof (frees, recon_steps, goalstring) |
17315
5bf0e0aacc24
consolidation of duplicate code in Isabelle-ATP linkup
paulson
parents:
17312
diff
changeset
|
696 |
end |
15642 | 697 |
|
15684
5ec4d21889d6
Reconstruction code, now packaged to avoid name clashes
paulson
parents:
15658
diff
changeset
|
698 |
end; |