author | blanchet |
Wed, 18 Dec 2013 16:50:14 +0100 | |
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permissions | -rw-r--r-- |
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(* Title: HOL/Tools/ATP/atp_proof.ML |
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Author: Lawrence C. Paulson, Cambridge University Computer Laboratory |
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Author: Claire Quigley, Cambridge University Computer Laboratory |
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Author: Jasmin Blanchette, TU Muenchen |
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Abstract representation of ATP proofs and TSTP/SPASS syntax. |
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*) |
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signature ATP_PROOF = |
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sig |
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type ('a, 'b) atp_term = ('a, 'b) ATP_Problem.atp_term |
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type atp_formula_role = ATP_Problem.atp_formula_role |
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type ('a, 'b, 'c, 'd) atp_formula = ('a, 'b, 'c, 'd) ATP_Problem.atp_formula |
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type 'a atp_problem = 'a ATP_Problem.atp_problem |
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exception UNRECOGNIZED_ATP_PROOF of unit |
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datatype atp_failure = |
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Unprovable | |
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GaveUp | |
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ProofMissing | |
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ProofIncomplete | |
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UnsoundProof of bool * string list | |
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CantConnect | |
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TimedOut | |
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Inappropriate | |
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OutOfResources | |
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NoPerl | |
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NoLibwwwPerl | |
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MalformedInput | |
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MalformedOutput | |
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Interrupted | |
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Crashed | |
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InternalError | |
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UnknownError of string |
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type atp_step_name = string * string list |
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type ('a, 'b) atp_step = |
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atp_step_name * atp_formula_role * 'a * 'b * atp_step_name list |
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type 'a atp_proof = |
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(('a, 'a, ('a, 'a) atp_term, 'a) atp_formula, string) atp_step list |
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val agsyhol_core_rule : string |
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val satallax_core_rule : string |
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val spass_input_rule : string |
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val spass_skolemize_rule : string |
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val z3_tptp_core_rule : string |
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val short_output : bool -> string -> string |
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val string_of_atp_failure : atp_failure -> string |
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val extract_important_message : string -> string |
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val extract_known_atp_failure : |
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(atp_failure * string) list -> string -> atp_failure option |
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val extract_tstplike_proof_and_outcome : |
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bool -> (string * string) list -> (atp_failure * string) list -> string |
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-> string * atp_failure option |
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val is_same_atp_step : atp_step_name -> atp_step_name -> bool |
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val scan_general_id : string list -> string * string list |
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val parse_formula : |
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string list |
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-> (string, 'a, (string, 'a) atp_term, string) atp_formula * string list |
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val atp_proof_of_tstplike_proof : |
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string atp_problem -> string -> string atp_proof |
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val clean_up_atp_proof_dependencies : string atp_proof -> string atp_proof |
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val map_term_names_in_atp_proof : |
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(string -> string) -> string atp_proof -> string atp_proof |
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val nasty_atp_proof : |
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string Symtab.table -> string atp_proof -> string atp_proof |
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end; |
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structure ATP_Proof : ATP_PROOF = |
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struct |
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open ATP_Util |
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open ATP_Problem |
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val agsyhol_core_rule = "__agsyhol_core" (* arbitrary *) |
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val satallax_core_rule = "__satallax_core" (* arbitrary *) |
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val spass_input_rule = "Inp" |
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val spass_skolemize_rule = "__Sko" (* arbitrary *) |
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val z3_tptp_core_rule = "__z3_tptp_core" (* arbitrary *) |
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exception UNRECOGNIZED_ATP_PROOF of unit |
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datatype atp_failure = |
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Unprovable | |
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GaveUp | |
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ProofMissing | |
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ProofIncomplete | |
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UnsoundProof of bool * string list | |
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CantConnect | |
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TimedOut | |
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Inappropriate | |
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OutOfResources | |
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NoPerl | |
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NoLibwwwPerl | |
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MalformedInput | |
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MalformedOutput | |
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Interrupted | |
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Crashed | |
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InternalError | |
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UnknownError of string |
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fun short_output verbose output = |
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if verbose then |
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if output = "" then "No details available" else elide_string 1000 output |
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else |
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"" |
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val missing_message_tail = |
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" appears to be missing. You will need to install it if you want to invoke \ |
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\remote provers." |
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fun from_lemmas [] = "" |
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| from_lemmas ss = " from " ^ space_implode " " (Try.serial_commas "and" (map quote ss)) |
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fun string_of_atp_failure Unprovable = "The generated problem is unprovable." |
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| string_of_atp_failure GaveUp = "The prover gave up." |
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| string_of_atp_failure ProofMissing = |
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"The prover claims the conjecture is a theorem but did not provide a proof." |
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| string_of_atp_failure ProofIncomplete = |
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"The prover claims the conjecture is a theorem but provided an incomplete \ |
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\(or unparsable) proof." |
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| string_of_atp_failure (UnsoundProof (false, ss)) = |
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"The prover derived \"False\"" ^ from_lemmas ss ^ |
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". Specify a sound type encoding or omit the \"type_enc\" option." |
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| string_of_atp_failure (UnsoundProof (true, ss)) = |
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"The prover derived \"False\"" ^ from_lemmas ss ^ |
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". This could be due to inconsistent axioms (including \"sorry\"s) or to \ |
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\a bug in Sledgehammer. If the problem persists, please contact the \ |
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\Isabelle developers." |
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| string_of_atp_failure CantConnect = "Cannot connect to remote server." |
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| string_of_atp_failure TimedOut = "Timed out." |
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| string_of_atp_failure Inappropriate = |
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"The generated problem lies outside the prover's scope." |
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| string_of_atp_failure OutOfResources = "The prover ran out of resources." |
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| string_of_atp_failure NoPerl = "Perl" ^ missing_message_tail |
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139 |
| string_of_atp_failure NoLibwwwPerl = |
41744 | 140 |
"The Perl module \"libwww-perl\"" ^ missing_message_tail |
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141 |
| string_of_atp_failure MalformedInput = |
41744 | 142 |
"The generated problem is malformed. Please report this to the Isabelle \ |
143 |
\developers." |
|
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144 |
| string_of_atp_failure MalformedOutput = "The prover output is malformed." |
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| string_of_atp_failure Interrupted = "The prover was interrupted." |
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146 |
| string_of_atp_failure Crashed = "The prover crashed." |
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| string_of_atp_failure InternalError = "An internal prover error occurred." |
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148 |
| string_of_atp_failure (UnknownError s) = |
41744 | 149 |
"A prover error occurred" ^ |
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150 |
(if s = "" then ". (Pass the \"verbose\" option for details.)" |
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151 |
else ":\n" ^ s) |
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152 |
|
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153 |
fun extract_delimited (begin_delim, end_delim) output = |
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154 |
output |> first_field begin_delim |> the |> snd |
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155 |
|> first_field end_delim |> the |> fst |
48539 | 156 |
|> perhaps (try (first_field "\n" #> the #> snd)) |
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|
157 |
handle Option.Option => "" |
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|
158 |
|
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|
159 |
val tstp_important_message_delims = |
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160 |
("% SZS start RequiredInformation", "% SZS end RequiredInformation") |
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161 |
|
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162 |
fun extract_important_message output = |
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163 |
(case extract_delimited tstp_important_message_delims output of |
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164 |
"" => "" |
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|
165 |
| s => s |> space_explode "\n" |> filter_out (curry (op =) "") |
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166 |
|> map (perhaps (try (unprefix "%"))) |
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167 |
|> map (perhaps (try (unprefix " "))) |
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168 |
|> space_implode "\n " |> quote) |
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169 |
|
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170 |
(* Splits by the first possible of a list of delimiters. *) |
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171 |
fun extract_tstplike_proof delims output = |
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172 |
(case pairself (find_first (fn s => String.isSubstring s output)) |
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173 |
(ListPair.unzip delims) of |
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174 |
(SOME begin_delim, SOME end_delim) => extract_delimited (begin_delim, end_delim) output |
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175 |
| _ => "") |
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|
176 |
|
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177 |
fun extract_known_atp_failure known_failures output = |
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178 |
known_failures |
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179 |
|> find_first (fn (_, pattern) => String.isSubstring pattern output) |
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180 |
|> Option.map fst |
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|
181 |
|
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182 |
fun extract_tstplike_proof_and_outcome verbose proof_delims known_failures |
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183 |
output = |
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184 |
(case (extract_tstplike_proof proof_delims output, |
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185 |
extract_known_atp_failure known_failures output) of |
48700 | 186 |
(_, SOME ProofIncomplete) => ("", NONE) |
43246 | 187 |
| ("", SOME ProofMissing) => ("", NONE) |
188 |
| ("", NONE) => ("", SOME (UnknownError (short_output verbose output))) |
|
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189 |
| res as ("", _) => res |
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190 |
| (tstplike_proof, _) => (tstplike_proof, NONE)) |
39452 | 191 |
|
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192 |
type atp_step_name = string * string list |
39452 | 193 |
|
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194 |
fun is_same_atp_step (s1, _) (s2, _) = s1 = s2 |
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195 |
|
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196 |
val vampire_fact_prefix = "f" |
39452 | 197 |
|
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198 |
fun vampire_step_name_ord p = |
39455 | 199 |
let val q = pairself fst p in |
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200 |
(* The "unprefix" part is to cope with Vampire's output. *) |
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201 |
(case pairself (Int.fromString o perhaps (try (unprefix vampire_fact_prefix))) q of |
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202 |
(SOME i, SOME j) => int_ord (i, j) |
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203 |
| _ => raise Fail "not Vampire") |
39452 | 204 |
end |
205 |
||
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206 |
type ('a, 'b) atp_step = |
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207 |
atp_step_name * atp_formula_role * 'a * 'b * atp_step_name list |
39452 | 208 |
|
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209 |
type 'a atp_proof = |
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210 |
(('a, 'a, ('a, 'a) atp_term, 'a) atp_formula, string) atp_step list |
39452 | 211 |
|
212 |
(**** PARSING OF TSTP FORMAT ****) |
|
213 |
||
42536 | 214 |
(* Strings enclosed in single quotes (e.g., file names) *) |
39452 | 215 |
val scan_general_id = |
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216 |
$$ "'" |-- Scan.repeat (~$$ "'") --| $$ "'" >> implode |
51881 | 217 |
|| Scan.repeat ($$ "$") -- Scan.many1 Symbol.is_letdig |
39452 | 218 |
>> (fn (ss1, ss2) => implode ss1 ^ implode ss2) |
219 |
||
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220 |
val skip_term = |
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|
221 |
let |
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|
222 |
fun skip _ accum [] = (accum, []) |
54799 | 223 |
| skip n accum (s :: ss) = |
224 |
if s = "," andalso n = 0 then |
|
225 |
(accum, ss) |
|
226 |
else if member (op =) [")", "]", ">", "}"] s then |
|
227 |
if n = 0 then (accum, ss) else skip (n - 1) (s :: accum) ss |
|
228 |
else if member (op =) ["(", "[", "<", "{"] s then |
|
229 |
skip (n + 1) (s :: accum) ss |
|
230 |
else |
|
231 |
skip n (s :: accum) ss |
|
232 |
in |
|
233 |
skip 0 [] #>> (rev #> implode) |
|
234 |
end |
|
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|
235 |
|
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|
236 |
datatype source = |
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237 |
File_Source of string * string option | |
45209 | 238 |
Inference_Source of string * string list |
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|
239 |
|
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|
240 |
val dummy_phi = AAtom (ATerm (("", []), [])) |
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|
241 |
val dummy_inference = Inference_Source ("", []) |
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|
242 |
|
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|
243 |
(* "skip_term" is there to cope with Waldmeister nonsense such as "theory(equality)". *) |
50011 | 244 |
fun parse_dependency x = |
245 |
(parse_inference_source >> snd |
|
246 |
|| scan_general_id --| skip_term >> single) x |
|
247 |
and parse_dependencies x = |
|
248 |
(parse_dependency ::: Scan.repeat ($$ "," |-- parse_dependency) |
|
249 |
>> flat) x |
|
250 |
and parse_file_source x = |
|
251 |
(Scan.this_string "file" |-- $$ "(" |-- scan_general_id |
|
252 |
-- Scan.option ($$ "," |-- scan_general_id) --| $$ ")") x |
|
253 |
and parse_inference_source x = |
|
254 |
(Scan.this_string "inference" |-- $$ "(" |-- scan_general_id |
|
255 |
--| skip_term --| $$ "," --| skip_term --| $$ "," --| $$ "[" |
|
256 |
-- parse_dependencies --| $$ "]" --| $$ ")") x |
|
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|
257 |
and skip_introduced x = |
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|
258 |
(Scan.this_string "introduced" |-- $$ "(" |-- skip_term |
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|
259 |
-- Scan.repeat ($$ "," |-- skip_term) --| $$ ")") x |
50011 | 260 |
and parse_source x = |
261 |
(parse_file_source >> File_Source |
|
262 |
|| parse_inference_source >> Inference_Source |
|
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|
263 |
|| skip_introduced >> K dummy_inference (* for Vampire *) |
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|
264 |
|| scan_general_id >> (fn s => Inference_Source ("", [s])) (* for E *) |
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|
265 |
|| skip_term >> K dummy_inference) x |
39452 | 266 |
|
54799 | 267 |
fun list_app (f, args) = fold (fn arg => fn f => ATerm ((tptp_app, []), [f, arg])) args f |
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|
268 |
|
45881 | 269 |
(* We currently ignore TFF and THF types. *) |
54799 | 270 |
fun parse_type_stuff x = Scan.repeat (($$ tptp_has_type || $$ tptp_fun_type) |-- parse_arg) x |
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271 |
and parse_arg x = |
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|
272 |
($$ "(" |-- parse_term --| $$ ")" --| parse_type_stuff |
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|
273 |
|| scan_general_id --| parse_type_stuff |
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|
274 |
-- Scan.optional ($$ "(" |-- parse_terms --| $$ ")") [] |
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|
275 |
>> (ATerm o apfst (rpair []))) x |
54799 | 276 |
and parse_term x = (parse_arg -- Scan.repeat ($$ tptp_app |-- parse_arg) >> list_app) x |
277 |
and parse_terms x = (parse_term ::: Scan.repeat ($$ "," |-- parse_term)) x |
|
39452 | 278 |
|
39598 | 279 |
fun parse_atom x = |
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|
280 |
(parse_term -- Scan.option (Scan.option ($$ tptp_not_infix) --| $$ tptp_equal |
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|
281 |
-- parse_term) |
39598 | 282 |
>> (fn (u1, NONE) => AAtom u1 |
45881 | 283 |
| (u1, SOME (neg, u2)) => |
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|
284 |
AAtom (ATerm (("equal", []), [u1, u2])) |> is_some neg ? mk_anot)) x |
39452 | 285 |
|
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|
286 |
(* TPTP formulas are fully parenthesized, so we don't need to worry about operator precedence. *) |
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|
287 |
fun parse_literal x = |
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|
288 |
((Scan.repeat ($$ tptp_not) >> length) |
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|
289 |
-- ($$ "(" |-- parse_formula --| $$ ")" |
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|
290 |
|| parse_quantified_formula |
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|
291 |
|| parse_atom) |
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|
292 |
>> (fn (n, phi) => phi |> n mod 2 = 1 ? mk_anot)) x |
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|
293 |
and parse_formula x = |
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diff
changeset
|
294 |
(parse_literal |
43163 | 295 |
-- Scan.option ((Scan.this_string tptp_implies |
296 |
|| Scan.this_string tptp_iff |
|
297 |
|| Scan.this_string tptp_not_iff |
|
298 |
|| Scan.this_string tptp_if |
|
299 |
|| $$ tptp_or |
|
300 |
|| $$ tptp_and) -- parse_formula) |
|
39452 | 301 |
>> (fn (phi1, NONE) => phi1 |
43163 | 302 |
| (phi1, SOME (c, phi2)) => |
303 |
if c = tptp_implies then mk_aconn AImplies phi1 phi2 |
|
304 |
else if c = tptp_iff then mk_aconn AIff phi1 phi2 |
|
305 |
else if c = tptp_not_iff then mk_anot (mk_aconn AIff phi1 phi2) |
|
306 |
else if c = tptp_if then mk_aconn AImplies phi2 phi1 |
|
307 |
else if c = tptp_or then mk_aconn AOr phi1 phi2 |
|
308 |
else if c = tptp_and then mk_aconn AAnd phi1 phi2 |
|
309 |
else raise Fail ("impossible connective " ^ quote c))) x |
|
42605
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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diff
changeset
|
310 |
and parse_quantified_formula x = |
42968
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changeset
|
311 |
(($$ tptp_forall >> K AForall || $$ tptp_exists >> K AExists) |
42605
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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changeset
|
312 |
--| $$ "[" -- parse_terms --| $$ "]" --| $$ ":" -- parse_literal |
54799 | 313 |
>> (fn ((q, ts), phi) => AQuant (q, map (fn ATerm ((s, []), _) => (s, NONE)) ts, phi))) x |
39452 | 314 |
|
315 |
val parse_tstp_extra_arguments = |
|
45235
7187bce94e88
more robust parsing of TSTP sources -- Vampire has nonstandard "introduced()" tags and Waldmeister(OnTPTP) has weird "theory(...)" dependencies
blanchet
parents:
45209
diff
changeset
|
316 |
Scan.optional ($$ "," |-- parse_source --| Scan.option ($$ "," |-- skip_term)) |
7187bce94e88
more robust parsing of TSTP sources -- Vampire has nonstandard "introduced()" tags and Waldmeister(OnTPTP) has weird "theory(...)" dependencies
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parents:
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changeset
|
317 |
dummy_inference |
39452 | 318 |
|
47927
c35238d19bb9
repair the Waldmeister endgame only for Waldmeister proofs
blanchet
parents:
47926
diff
changeset
|
319 |
val waldmeister_conjecture_name = "conjecture_1" |
42943 | 320 |
|
42536 | 321 |
val tofof_fact_prefix = "fof_" |
41203
1393514094d7
fixed more issues with the Vampire output parser, and added support for Vampire's TSTP output (--proof tptp)
blanchet
parents:
41201
diff
changeset
|
322 |
|
42943 | 323 |
fun is_same_term subst tm1 tm2 = |
324 |
let |
|
325 |
fun do_term_pair _ NONE = NONE |
|
48132
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added type arguments to "ATerm" constructor -- but don't use them yet
blanchet
parents:
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diff
changeset
|
326 |
| do_term_pair (ATerm ((s1, _), tm1), ATerm ((s2, _), tm2)) (SOME subst) = |
54788
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diff
changeset
|
327 |
(case pairself is_tptp_variable (s1, s2) of |
42943 | 328 |
(true, true) => |
329 |
(case AList.lookup (op =) subst s1 of |
|
330 |
SOME s2' => if s2' = s2 then SOME subst else NONE |
|
331 |
| NONE => |
|
332 |
if null (AList.find (op =) subst s2) then SOME ((s1, s2) :: subst) |
|
333 |
else NONE) |
|
334 |
| (false, false) => |
|
335 |
if s1 = s2 andalso length tm1 = length tm2 then |
|
336 |
SOME subst |> fold do_term_pair (tm1 ~~ tm2) |
|
337 |
else |
|
338 |
NONE |
|
54788
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primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
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diff
changeset
|
339 |
| _ => NONE) |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
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parents:
54772
diff
changeset
|
340 |
in |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
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parents:
54772
diff
changeset
|
341 |
SOME subst |> do_term_pair (tm1, tm2) |> is_some |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
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diff
changeset
|
342 |
end |
42943 | 343 |
|
47921
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ensure the "show" equation is not reoriented by Waldmeister
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parents:
47917
diff
changeset
|
344 |
fun is_same_formula comm subst (AQuant (q1, xs1, phi1)) (AQuant (q2, xs2, phi2)) = |
42943 | 345 |
q1 = q2 andalso length xs1 = length xs2 andalso |
47921
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
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parents:
47917
diff
changeset
|
346 |
is_same_formula comm ((map fst xs1 ~~ map fst xs2) @ subst) phi1 phi2 |
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
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parents:
47917
diff
changeset
|
347 |
| is_same_formula comm subst (AConn (c1, phis1)) (AConn (c2, phis2)) = |
42943 | 348 |
c1 = c2 andalso length phis1 = length phis2 andalso |
47921
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
349 |
forall (uncurry (is_same_formula comm subst)) (phis1 ~~ phis2) |
48132
9aa0fad4e864
added type arguments to "ATerm" constructor -- but don't use them yet
blanchet
parents:
48130
diff
changeset
|
350 |
| is_same_formula comm subst |
54799 | 351 |
(AAtom (tm1 as ATerm (("equal", tys), [tm11, tm12]))) (AAtom tm2) = |
47926 | 352 |
is_same_term subst tm1 tm2 orelse |
54799 | 353 |
(comm andalso is_same_term subst (ATerm (("equal", tys), [tm12, tm11])) tm2) |
47921
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
354 |
| is_same_formula _ subst (AAtom tm1) (AAtom tm2) = is_same_term subst tm1 tm2 |
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
355 |
| is_same_formula _ _ _ _ = false |
42943 | 356 |
|
50521
bec828f3364e
generate comments with original names for debugging
blanchet
parents:
50236
diff
changeset
|
357 |
fun matching_formula_line_identifier phi (Formula ((ident, _), _, phi', _, _)) = |
47921
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
358 |
if is_same_formula true [] phi phi' then SOME (ident, phi') else NONE |
42943 | 359 |
| matching_formula_line_identifier _ _ = NONE |
360 |
||
54799 | 361 |
fun find_formula_in_problem phi = |
362 |
maps snd |
|
363 |
#> map_filter (matching_formula_line_identifier phi) |
|
364 |
#> try (single o hd) |
|
365 |
#> the_default [] |
|
42943 | 366 |
|
54799 | 367 |
fun commute_eq (AAtom (ATerm ((s, tys), tms))) = AAtom (ATerm ((s, tys), rev tms)) |
47946
33afcfad3f8d
add an experimental "aggressive" mode to Sledgehammer, to experiment with more complete translations of higher-order features without breaking "metis"
blanchet
parents:
47927
diff
changeset
|
368 |
| commute_eq _ = raise Fail "expected equation" |
47921
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
369 |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
370 |
fun role_of_tptp_string "axiom" = Axiom |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
371 |
| role_of_tptp_string "definition" = Definition |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
372 |
| role_of_tptp_string "lemma" = Lemma |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
373 |
| role_of_tptp_string "hypothesis" = Hypothesis |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
374 |
| role_of_tptp_string "conjecture" = Conjecture |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
375 |
| role_of_tptp_string "negated_conjecture" = Negated_Conjecture |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
376 |
| role_of_tptp_string "plain" = Plain |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
377 |
| role_of_tptp_string _ = Unknown |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
378 |
|
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
379 |
(* Syntax: (cnf|fof|tff|thf)\(<num>, <formula_role>, <formula> <extra_arguments>\). |
39452 | 380 |
The <num> could be an identifier, but we assume integers. *) |
42943 | 381 |
fun parse_tstp_line problem = |
42968
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
382 |
((Scan.this_string tptp_cnf || Scan.this_string tptp_fof |
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
383 |
|| Scan.this_string tptp_tff || Scan.this_string tptp_thf) -- $$ "(") |
50236 | 384 |
|-- scan_general_id --| $$ "," -- Symbol.scan_ascii_id --| $$ "," |
45235
7187bce94e88
more robust parsing of TSTP sources -- Vampire has nonstandard "introduced()" tags and Waldmeister(OnTPTP) has weird "theory(...)" dependencies
blanchet
parents:
45209
diff
changeset
|
385 |
-- (parse_formula || skip_term >> K dummy_phi) -- parse_tstp_extra_arguments |
7187bce94e88
more robust parsing of TSTP sources -- Vampire has nonstandard "introduced()" tags and Waldmeister(OnTPTP) has weird "theory(...)" dependencies
blanchet
parents:
45209
diff
changeset
|
386 |
--| $$ ")" --| $$ "." |
42943 | 387 |
>> (fn (((num, role), phi), deps) => |
388 |
let |
|
47921
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
389 |
val ((name, phi), rule, deps) = |
42943 | 390 |
(* Waldmeister isn't exactly helping. *) |
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
391 |
(case deps of |
45208
9a00f9cc8707
marginally cleaner proof parsing, that doesn't stumble upon LEO-II's E-step proofs
blanchet
parents:
45203
diff
changeset
|
392 |
File_Source (_, SOME s) => |
47927
c35238d19bb9
repair the Waldmeister endgame only for Waldmeister proofs
blanchet
parents:
47926
diff
changeset
|
393 |
(if s = waldmeister_conjecture_name then |
54799 | 394 |
(case find_formula_in_problem (mk_anot phi) problem of |
47921
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
395 |
(* Waldmeister hack: Get the original orientation of the |
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
396 |
equation to avoid confusing Isar. *) |
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
397 |
[(s, phi')] => |
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
398 |
((num, [s]), |
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
399 |
phi |> not (is_same_formula false [] (mk_anot phi) phi') ? commute_eq) |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
400 |
| _ => ((num, []), phi)) |
47921
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
401 |
else |
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
402 |
((num, [s |> perhaps (try (unprefix tofof_fact_prefix))]), |
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
403 |
phi), |
fc26d5538868
ensure the "show" equation is not reoriented by Waldmeister
blanchet
parents:
47917
diff
changeset
|
404 |
"", []) |
45208
9a00f9cc8707
marginally cleaner proof parsing, that doesn't stumble upon LEO-II's E-step proofs
blanchet
parents:
45203
diff
changeset
|
405 |
| File_Source _ => |
54799 | 406 |
(((num, map fst (find_formula_in_problem phi problem)), phi), "", []) |
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
407 |
| Inference_Source (rule, deps) => (((num, []), phi), rule, deps)) |
54799 | 408 |
fun mk_step () = (name, role_of_tptp_string role, phi, rule, map (rpair []) deps) |
42943 | 409 |
in |
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
410 |
(case role_of_tptp_string role of |
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50011
diff
changeset
|
411 |
Definition => |
42943 | 412 |
(case phi of |
54799 | 413 |
AAtom (ATerm (("equal", _), _)) => |
42943 | 414 |
(* Vampire's equality proxy axiom *) |
51201 | 415 |
(name, Definition, phi, rule, map (rpair []) deps) |
47787 | 416 |
| _ => mk_step ()) |
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
417 |
| _ => mk_step ()) |
42943 | 418 |
end) |
39452 | 419 |
|
420 |
(**** PARSING OF SPASS OUTPUT ****) |
|
421 |
||
422 |
(* SPASS returns clause references of the form "x.y". We ignore "y", whose role |
|
423 |
is not clear anyway. *) |
|
424 |
val parse_dot_name = scan_general_id --| $$ "." --| scan_general_id |
|
425 |
||
426 |
val parse_spass_annotations = |
|
427 |
Scan.optional ($$ ":" |-- Scan.repeat (parse_dot_name |
|
428 |
--| Scan.option ($$ ","))) [] |
|
429 |
||
430 |
(* It is not clear why some literals are followed by sequences of stars and/or |
|
431 |
pluses. We ignore them. *) |
|
39602 | 432 |
fun parse_decorated_atom x = |
433 |
(parse_atom --| Scan.repeat ($$ "*" || $$ "+" || $$ " ")) x |
|
39452 | 434 |
|
48132
9aa0fad4e864
added type arguments to "ATerm" constructor -- but don't use them yet
blanchet
parents:
48130
diff
changeset
|
435 |
fun mk_horn ([], []) = AAtom (ATerm (("c_False", []), [])) |
42943 | 436 |
| mk_horn ([], pos_lits) = foldr1 (uncurry (mk_aconn AOr)) pos_lits |
437 |
| mk_horn (neg_lits, []) = mk_anot (foldr1 (uncurry (mk_aconn AAnd)) neg_lits) |
|
39452 | 438 |
| mk_horn (neg_lits, pos_lits) = |
42943 | 439 |
mk_aconn AImplies (foldr1 (uncurry (mk_aconn AAnd)) neg_lits) |
440 |
(foldr1 (uncurry (mk_aconn AOr)) pos_lits) |
|
39452 | 441 |
|
39645 | 442 |
fun parse_horn_clause x = |
443 |
(Scan.repeat parse_decorated_atom --| $$ "|" --| $$ "|" |
|
444 |
-- Scan.repeat parse_decorated_atom --| $$ "-" --| $$ ">" |
|
445 |
-- Scan.repeat parse_decorated_atom |
|
446 |
>> (mk_horn o apfst (op @))) x |
|
39452 | 447 |
|
46390 | 448 |
val parse_spass_debug = |
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
449 |
Scan.option ($$ "(" |-- Scan.repeat (scan_general_id --| Scan.option ($$ ",")) --| $$ ")") |
46390 | 450 |
|
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
451 |
(* Syntax: <num>[0:<inference><annotations>] <atoms> || <atoms> -> <atoms> . |
46427 | 452 |
derived from formulae <ident>* *) |
48005
eeede26f2721
killed SPASS 3.5/3.7 FLOTTER hack -- requires users to upgrade to SPASS 3.8
blanchet
parents:
47972
diff
changeset
|
453 |
fun parse_spass_line x = |
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
454 |
(parse_spass_debug |-- scan_general_id --| $$ "[" --| Scan.many1 Symbol.is_digit --| $$ ":" |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
455 |
-- Symbol.scan_ascii_id -- parse_spass_annotations --| $$ "]" -- parse_horn_clause --| $$ "." |
48005
eeede26f2721
killed SPASS 3.5/3.7 FLOTTER hack -- requires users to upgrade to SPASS 3.8
blanchet
parents:
47972
diff
changeset
|
456 |
-- Scan.option (Scan.this_string "derived from formulae " |
eeede26f2721
killed SPASS 3.5/3.7 FLOTTER hack -- requires users to upgrade to SPASS 3.8
blanchet
parents:
47972
diff
changeset
|
457 |
|-- Scan.repeat (scan_general_id --| Scan.option ($$ " "))) |
eeede26f2721
killed SPASS 3.5/3.7 FLOTTER hack -- requires users to upgrade to SPASS 3.8
blanchet
parents:
47972
diff
changeset
|
458 |
>> (fn ((((num, rule), deps), u), names) => |
51201 | 459 |
((num, these names), Unknown, u, rule, map (rpair []) deps))) x |
45162 | 460 |
|
54788
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
461 |
fun parse_spass_pirate_dependency x = (Scan.option ($$ "-") |-- scan_general_id) x |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
462 |
fun parse_spass_pirate_dependencies x = |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
463 |
(parse_spass_pirate_dependency ::: Scan.repeat ($$ "," |-- parse_spass_pirate_dependency)) x |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
464 |
fun parse_spass_pirate_file_source x = |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
465 |
((Scan.this_string "Input" || Scan.this_string "Conj") |-- $$ "(" |-- scan_general_id |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
466 |
--| $$ ")") x |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
467 |
fun parse_spass_pirate_inference_source x = |
a898e15b522a
primitive support for SPASS-Pirate (Daniel Wand's polymorphic SPASS prototype)
blanchet
parents:
54772
diff
changeset
|
468 |
(scan_general_id |-- $$ "(" -- parse_spass_pirate_dependencies --| $$ ")") x |
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|
469 |
fun parse_spass_pirate_source x = |
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|
470 |
(parse_spass_pirate_file_source >> (fn s => File_Source ("", SOME s)) |
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|
471 |
|| parse_spass_pirate_inference_source >> Inference_Source) x |
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|
472 |
|
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|
473 |
(* Syntax: <num> <stuff> || <atoms> -> <atoms> . origin\(<origin>\) *) |
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|
474 |
fun parse_spass_pirate_line x = |
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|
475 |
(scan_general_id --| Scan.repeat (~$$ "|") -- parse_horn_clause --| $$ "." |
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|
476 |
--| Scan.this_string "origin" --| $$ "(" -- parse_spass_pirate_source --| $$ ")" |
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|
477 |
>> (fn ((((num, u), source))) => |
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|
478 |
let |
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|
479 |
val (names, rule, deps) = |
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|
480 |
(case source of |
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|
481 |
File_Source (_, SOME s) => ([s], spass_input_rule, []) |
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|
482 |
| Inference_Source (rule, deps) => ([], rule, deps)) |
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|
483 |
in |
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parents:
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|
484 |
((num, names), Unknown, u, rule, map (rpair []) deps) |
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|
485 |
end)) x |
48539 | 486 |
|
52077 | 487 |
fun core_inference inf fact = ((fact, [fact]), Unknown, dummy_phi, inf, []) |
488 |
||
48539 | 489 |
(* Syntax: core(<name>,[<name>,...,<name>]). *) |
490 |
fun parse_z3_tptp_line x = |
|
491 |
(scan_general_id --| $$ "," --| $$ "[" -- parse_dependencies --| $$ "]" |
|
54788
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|
492 |
>> (fn (name, names) => (("", name :: names), Unknown, dummy_phi, z3_tptp_core_rule, []))) x |
47947 | 493 |
|
45162 | 494 |
(* Syntax: <name> *) |
45203 | 495 |
fun parse_satallax_line x = |
54788
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|
496 |
(scan_general_id --| Scan.option ($$ " ") >> core_inference satallax_core_rule) x |
43481 | 497 |
|
48005
eeede26f2721
killed SPASS 3.5/3.7 FLOTTER hack -- requires users to upgrade to SPASS 3.8
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parents:
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|
498 |
fun parse_line problem = |
54788
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|
499 |
parse_tstp_line problem || parse_spass_line || parse_spass_pirate_line || parse_z3_tptp_line |
48539 | 500 |
|| parse_satallax_line |
50590 | 501 |
fun parse_proof problem = |
502 |
strip_spaces_except_between_idents |
|
503 |
#> raw_explode |
|
504 |
#> Scan.error (!! (fn _ => raise UNRECOGNIZED_ATP_PROOF ()) |
|
505 |
(Scan.finite Symbol.stopper |
|
506 |
(Scan.repeat1 (parse_line problem)))) |
|
507 |
#> fst |
|
43481 | 508 |
|
52077 | 509 |
fun core_of_agsyhol_proof s = |
54788
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|
510 |
(case split_lines s of |
52077 | 511 |
"The transformed problem consists of the following conjectures:" :: conj :: |
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|
512 |
_ :: proof_term :: _ => SOME (unprefix " " conj :: find_enclosed "<<" ">>" proof_term) |
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|
513 |
| _ => NONE) |
52077 | 514 |
|
52031
9a9238342963
tuning -- renamed '_from_' to '_of_' in Sledgehammer
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parents:
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diff
changeset
|
515 |
fun atp_proof_of_tstplike_proof _ "" = [] |
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|
516 |
| atp_proof_of_tstplike_proof problem tstp = |
54788
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|
517 |
(case core_of_agsyhol_proof tstp of |
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|
518 |
SOME facts => facts |> map (core_inference agsyhol_core_rule) |
52077 | 519 |
| NONE => |
52756
1ac8a0d0ddb1
parse nonnumeric identifiers in E proofs correctly
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parents:
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|
520 |
tstp ^ "$" (* the $ sign acts as a sentinel (FIXME: needed?) *) |
52077 | 521 |
|> parse_proof problem |
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522 |
|> perhaps (try (sort (vampire_step_name_ord o pairself #1)))) |
42968
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|
523 |
|
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|
524 |
fun clean_up_dependencies _ [] = [] |
51201 | 525 |
| clean_up_dependencies seen ((name, role, u, rule, deps) :: steps) = |
526 |
(name, role, u, rule, |
|
527 |
map_filter (fn dep => find_first (is_same_atp_step dep) seen) deps) :: |
|
42968
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parents:
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changeset
|
528 |
clean_up_dependencies (name :: seen) steps |
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|
529 |
|
42975 | 530 |
fun clean_up_atp_proof_dependencies proof = clean_up_dependencies [] proof |
39452 | 531 |
|
50704 | 532 |
fun map_term_names_in_atp_proof f = |
533 |
let |
|
534 |
fun do_term (ATerm ((s, tys), ts)) = ATerm ((f s, tys), map do_term ts) |
|
535 |
fun do_formula (AQuant (q, xs, phi)) = |
|
536 |
AQuant (q, map (apfst f) xs, do_formula phi) |
|
537 |
| do_formula (AConn (c, phis)) = AConn (c, map do_formula phis) |
|
538 |
| do_formula (AAtom t) = AAtom (do_term t) |
|
51201 | 539 |
fun do_step (name, role, phi, rule, deps) = |
540 |
(name, role, do_formula phi, rule, deps) |
|
50704 | 541 |
in map do_step end |
39454 | 542 |
|
543 |
fun nasty_name pool s = s |> Symtab.lookup pool |> the_default s |
|
50704 | 544 |
|
39454 | 545 |
fun nasty_atp_proof pool = |
50704 | 546 |
not (Symtab.is_empty pool) ? map_term_names_in_atp_proof (nasty_name pool) |
39454 | 547 |
|
39452 | 548 |
end; |