author | blanchet |
Sat, 29 Oct 2011 13:15:58 +0200 | |
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parent 45235 | 7187bce94e88 |
child 45551 | a62c7a21f4ab |
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) ho_term = ('a, 'b) ATP_Problem.ho_term |
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type ('a, 'b, 'c) formula = ('a, 'b, 'c) ATP_Problem.formula |
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type 'a problem = 'a ATP_Problem.problem |
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exception UNRECOGNIZED_ATP_PROOF of unit |
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datatype 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 step_name = string * string list option |
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datatype 'a step = |
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Definition of step_name * 'a * 'a | |
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Inference of step_name * 'a * string * step_name list |
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type 'a proof = ('a, 'a, ('a, 'a) ho_term) formula step list |
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val short_output : bool -> string -> string |
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val string_for_failure : failure -> string |
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val extract_important_message : string -> string |
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val extract_known_failure : |
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(failure * string) list -> string -> failure option |
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val extract_tstplike_proof_and_outcome : |
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bool -> bool -> (string * string) list -> (failure * string) list -> string |
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-> string * failure option |
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val is_same_atp_step : step_name -> 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 -> (string, 'a, (string, 'a) ho_term) formula * string list |
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val atp_proof_from_tstplike_proof : |
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string problem -> string -> string -> string proof |
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val clean_up_atp_proof_dependencies : string proof -> string proof |
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val map_term_names_in_atp_proof : |
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(string -> string) -> string proof -> string proof |
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val nasty_atp_proof : string Symtab.table -> string proof -> string 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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exception UNRECOGNIZED_ATP_PROOF of unit |
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datatype 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 elide_string threshold s = |
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if size s > threshold then |
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String.extract (s, 0, SOME (threshold div 2 - 5)) ^ " ...... " ^ |
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String.extract (s, size s - (threshold + 1) div 2 + 6, NONE) |
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else |
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s |
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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 involving [] = "" |
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| involving ss = |
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"involving " ^ space_implode " " (Try.serial_commas "and" (map quote ss)) ^ |
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" " |
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fun string_for_failure Unprovable = "The problem is unprovable." |
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| string_for_failure GaveUp = "The prover gave up." |
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| string_for_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_for_failure ProofIncomplete = |
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"The prover claims the conjecture is a theorem but provided an incomplete \ |
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\proof." |
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| string_for_failure (UnsoundProof (false, ss)) = |
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"The prover found a type-unsound proof " ^ involving ss ^ |
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"(or, less likely, your axioms are inconsistent). Specify a sound type \ |
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\encoding or omit the \"type_enc\" option." |
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| string_for_failure (UnsoundProof (true, ss)) = |
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"The prover found a type-unsound proof " ^ involving ss ^ |
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"even though a supposedly type-sound encoding was used (or, less likely, \ |
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\your axioms are inconsistent). Please report this to the Isabelle \ |
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\developers." |
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| string_for_failure CantConnect = "Cannot connect to remote server." |
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| string_for_failure TimedOut = "Timed out." |
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| string_for_failure Inappropriate = |
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"The problem lies outside the prover's scope." |
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| string_for_failure OutOfResources = "The prover ran out of resources." |
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| string_for_failure NoPerl = "Perl" ^ missing_message_tail |
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| string_for_failure NoLibwwwPerl = |
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"The Perl module \"libwww-perl\"" ^ missing_message_tail |
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| string_for_failure MalformedInput = |
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"The generated problem is malformed. Please report this to the Isabelle \ |
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\developers." |
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| string_for_failure MalformedOutput = "The prover output is malformed." |
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| string_for_failure Interrupted = "The prover was interrupted." |
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| string_for_failure Crashed = "The prover crashed." |
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| string_for_failure InternalError = "An internal prover error occurred." |
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| string_for_failure (UnknownError string) = |
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"A prover error occurred" ^ |
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(if string = "" then ". (Pass the \"verbose\" option for details.)" |
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else ":\n" ^ string) |
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fun extract_delimited (begin_delim, end_delim) output = |
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output |> first_field begin_delim |> the |> snd |
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|> first_field end_delim |> the |> fst |
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|> first_field "\n" |> the |> snd |
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handle Option.Option => "" |
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val tstp_important_message_delims = |
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("% SZS start RequiredInformation", "% SZS end RequiredInformation") |
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fun extract_important_message output = |
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case extract_delimited tstp_important_message_delims output of |
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"" => "" |
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| s => s |> space_explode "\n" |> filter_out (curry (op =) "") |
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|> map (perhaps (try (unprefix "%"))) |
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|> map (perhaps (try (unprefix " "))) |
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|> space_implode "\n " |> quote |
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|
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(* Splits by the first possible of a list of delimiters. *) |
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fun extract_tstplike_proof delims output = |
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case pairself (find_first (fn s => String.isSubstring s output)) |
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(ListPair.unzip delims) of |
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(SOME begin_delim, SOME end_delim) => |
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extract_delimited (begin_delim, end_delim) output |
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| _ => "" |
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|
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fun extract_known_failure known_failures output = |
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known_failures |
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|> find_first (fn (_, pattern) => String.isSubstring pattern output) |
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|> Option.map fst |
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177 |
|
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fun extract_tstplike_proof_and_outcome verbose complete proof_delims |
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known_failures output = |
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case (extract_tstplike_proof proof_delims output, |
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extract_known_failure known_failures output) of |
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(_, SOME ProofIncomplete) => ("", SOME ProofIncomplete) |
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| ("", SOME ProofMissing) => ("", NONE) |
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| ("", SOME failure) => |
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("", SOME (if failure = GaveUp andalso complete then Unprovable |
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else failure)) |
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| ("", NONE) => ("", SOME (UnknownError (short_output verbose output))) |
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| (tstplike_proof, _) => (tstplike_proof, NONE) |
39452 | 189 |
|
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type step_name = string * string list option |
39452 | 191 |
|
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fun is_same_atp_step (s1, _) (s2, _) = s1 = s2 |
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|
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val vampire_fact_prefix = "f" |
39452 | 195 |
|
196 |
fun step_name_ord p = |
|
39455 | 197 |
let val q = pairself fst p in |
39452 | 198 |
(* The "unprefix" part is to cope with remote Vampire's output. The proper |
199 |
solution would be to perform a topological sort, e.g. using the nice |
|
200 |
"Graph" functor. *) |
|
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case pairself (Int.fromString |
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o perhaps (try (unprefix vampire_fact_prefix))) q of |
39452 | 203 |
(NONE, NONE) => string_ord q |
204 |
| (NONE, SOME _) => LESS |
|
205 |
| (SOME _, NONE) => GREATER |
|
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| (SOME i, SOME j) => int_ord (i, j) |
|
207 |
end |
|
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||
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datatype 'a step = |
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Definition of step_name * 'a * 'a | |
45209 | 211 |
Inference of step_name * 'a * string * step_name list |
39452 | 212 |
|
43678 | 213 |
type 'a proof = ('a, 'a, ('a, 'a) ho_term) formula step list |
39452 | 214 |
|
215 |
fun step_name (Definition (name, _, _)) = name |
|
45209 | 216 |
| step_name (Inference (name, _, _, _)) = name |
39452 | 217 |
|
218 |
(**** PARSING OF TSTP FORMAT ****) |
|
219 |
||
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(* FIXME: temporary hack *) |
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fun repair_waldmeister_step_name s = |
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case space_explode "." s of |
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[a, b, c, d] => |
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(case a of "0" => "X" | "1" => "Y" | _ => "Z" ^ a) ^ |
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(if size b = 1 then "0" else "") ^ b ^ c ^ d |
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| _ => s |
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227 |
|
42536 | 228 |
(* Strings enclosed in single quotes (e.g., file names) *) |
39452 | 229 |
val scan_general_id = |
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$$ "'" |-- Scan.repeat (~$$ "'") --| $$ "'" |
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231 |
>> implode >> repair_waldmeister_step_name |
39452 | 232 |
|| Scan.repeat ($$ "$") -- Scan.many1 Symbol.is_letdig |
233 |
>> (fn (ss1, ss2) => implode ss1 ^ implode ss2) |
|
234 |
||
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val skip_term = |
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let |
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fun skip _ accum [] = (accum, []) |
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| skip 0 accum (ss as "," :: _) = (accum, ss) |
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| skip 0 accum (ss as ")" :: _) = (accum, ss) |
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240 |
| skip 0 accum (ss as "]" :: _) = (accum, ss) |
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| skip n accum ((s as "(") :: ss) = skip (n + 1) (s :: accum) ss |
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242 |
| skip n accum ((s as "[") :: ss) = skip (n + 1) (s :: accum) ss |
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243 |
| skip n accum ((s as "]") :: ss) = skip (n - 1) (s :: accum) ss |
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| skip n accum ((s as ")") :: ss) = skip (n - 1) (s :: accum) ss |
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| skip n accum (s :: ss) = skip n (s :: accum) ss |
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246 |
in skip 0 [] #>> (rev #> implode) end |
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247 |
|
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248 |
datatype source = |
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249 |
File_Source of string * string option | |
45209 | 250 |
Inference_Source of string * string list |
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251 |
|
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252 |
val dummy_phi = AAtom (ATerm ("", [])) |
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253 |
val dummy_inference = Inference_Source ("", []) |
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254 |
|
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255 |
fun parse_dependencies x = (skip_term ::: Scan.repeat ($$ "," |-- skip_term)) x |
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256 |
|
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257 |
fun parse_source x = |
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258 |
(Scan.this_string "file" |-- $$ "(" |-- scan_general_id -- |
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259 |
Scan.option ($$ "," |-- scan_general_id) --| $$ ")" |
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260 |
>> File_Source |
45209 | 261 |
|| Scan.this_string "inference" |-- $$ "(" |-- scan_general_id |
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262 |
--| skip_term --| $$ "," --| skip_term --| $$ "," --| $$ "[" |
45209 | 263 |
-- parse_dependencies --| $$ "]" --| $$ ")" |
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264 |
>> Inference_Source |
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265 |
|| skip_term >> K dummy_inference) x |
39452 | 266 |
|
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267 |
fun list_app (f, args) = |
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268 |
fold (fn arg => fn f => ATerm (tptp_app, [f, arg])) args f |
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269 |
|
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270 |
(* We ignore TFF and THF types for now. *) |
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271 |
fun parse_type_stuff x = |
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272 |
Scan.repeat (($$ tptp_has_type || $$ tptp_fun_type) |-- parse_arg) x |
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273 |
and parse_arg x = |
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274 |
($$ "(" |-- parse_term --| $$ ")" --| parse_type_stuff |
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275 |
|| scan_general_id --| parse_type_stuff |
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276 |
-- Scan.optional ($$ "(" |-- parse_terms --| $$ ")") [] |
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277 |
>> ATerm) x |
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278 |
and parse_app x = |
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279 |
(parse_arg -- Scan.repeat ($$ tptp_app |-- parse_arg) >> list_app) x |
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280 |
and parse_term x = |
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281 |
(parse_app -- Scan.option (Scan.option ($$ tptp_not_infix) --| $$ tptp_equal |
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282 |
-- parse_app) |
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283 |
>> (fn (u1, NONE) => u1 |
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284 |
| (u1, SOME (NONE, u2)) => ATerm ("equal", [u1, u2]) |
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285 |
| (u1, SOME (SOME _, u2)) => |
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286 |
ATerm (tptp_not, [ATerm ("equal", [u1, u2])]))) x |
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287 |
and parse_terms x = |
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288 |
(parse_term ::: Scan.repeat ($$ "," |-- parse_term)) x |
39452 | 289 |
|
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290 |
(* TODO: Avoid duplication with "parse_term" above. *) |
39598 | 291 |
fun parse_atom x = |
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292 |
(parse_term -- Scan.option (Scan.option ($$ tptp_not_infix) --| $$ tptp_equal |
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|
293 |
-- parse_term) |
39598 | 294 |
>> (fn (u1, NONE) => AAtom u1 |
42943 | 295 |
| (u1, SOME (NONE, u2)) => AAtom (ATerm ("equal", [u1, u2])) |
39598 | 296 |
| (u1, SOME (SOME _, u2)) => |
42943 | 297 |
mk_anot (AAtom (ATerm ("equal", [u1, u2]))))) x |
39452 | 298 |
|
43678 | 299 |
fun ho_term_head (ATerm (s, _)) = s |
39452 | 300 |
|
301 |
(* TPTP formulas are fully parenthesized, so we don't need to worry about |
|
302 |
operator precedence. *) |
|
42605
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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parents:
42603
diff
changeset
|
303 |
fun parse_literal x = |
42968
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changeset
|
304 |
((Scan.repeat ($$ tptp_not) >> length) |
42605
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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parents:
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diff
changeset
|
305 |
-- ($$ "(" |-- parse_formula --| $$ ")" |
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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parents:
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diff
changeset
|
306 |
|| parse_quantified_formula |
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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parents:
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diff
changeset
|
307 |
|| parse_atom) |
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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parents:
42603
diff
changeset
|
308 |
>> (fn (n, phi) => phi |> n mod 2 = 1 ? mk_anot)) x |
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
blanchet
parents:
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diff
changeset
|
309 |
and parse_formula x = |
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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diff
changeset
|
310 |
(parse_literal |
43163 | 311 |
-- Scan.option ((Scan.this_string tptp_implies |
312 |
|| Scan.this_string tptp_iff |
|
313 |
|| Scan.this_string tptp_not_iff |
|
314 |
|| Scan.this_string tptp_if |
|
315 |
|| $$ tptp_or |
|
316 |
|| $$ tptp_and) -- parse_formula) |
|
39452 | 317 |
>> (fn (phi1, NONE) => phi1 |
43163 | 318 |
| (phi1, SOME (c, phi2)) => |
319 |
if c = tptp_implies then mk_aconn AImplies phi1 phi2 |
|
320 |
else if c = tptp_iff then mk_aconn AIff phi1 phi2 |
|
321 |
else if c = tptp_not_iff then mk_anot (mk_aconn AIff phi1 phi2) |
|
322 |
else if c = tptp_if then mk_aconn AImplies phi2 phi1 |
|
323 |
else if c = tptp_or then mk_aconn AOr phi1 phi2 |
|
324 |
else if c = tptp_and then mk_aconn AAnd phi1 phi2 |
|
325 |
else raise Fail ("impossible connective " ^ quote c))) x |
|
42605
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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parents:
42603
diff
changeset
|
326 |
and parse_quantified_formula x = |
42968
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diff
changeset
|
327 |
(($$ tptp_forall >> K AForall || $$ tptp_exists >> K AExists) |
42605
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
blanchet
parents:
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diff
changeset
|
328 |
--| $$ "[" -- parse_terms --| $$ "]" --| $$ ":" -- parse_literal |
8734eb0033b3
Vampire sometimes generates formulas with ~ (not) followed by a quantified subformula, without parentheses -- parse these correctly
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parents:
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diff
changeset
|
329 |
>> (fn ((q, ts), phi) => |
42966
4e2d6c1e5392
more work on parsing LEO-II proofs without lambdas
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parents:
42965
diff
changeset
|
330 |
(* We ignore TFF and THF types for now. *) |
43678 | 331 |
AQuant (q, map (rpair NONE o ho_term_head) ts, phi))) x |
39452 | 332 |
|
333 |
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
|
334 |
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
blanchet
parents:
45209
diff
changeset
|
335 |
dummy_inference |
39452 | 336 |
|
42943 | 337 |
val waldmeister_conjecture = "conjecture_1" |
338 |
||
42536 | 339 |
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
|
340 |
|
42943 | 341 |
fun is_same_term subst tm1 tm2 = |
342 |
let |
|
343 |
fun do_term_pair _ NONE = NONE |
|
344 |
| do_term_pair (ATerm (s1, tm1), ATerm (s2, tm2)) (SOME subst) = |
|
42998
1c80902d0456
fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents:
42975
diff
changeset
|
345 |
case pairself is_tptp_variable (s1, s2) of |
42943 | 346 |
(true, true) => |
347 |
(case AList.lookup (op =) subst s1 of |
|
348 |
SOME s2' => if s2' = s2 then SOME subst else NONE |
|
349 |
| NONE => |
|
350 |
if null (AList.find (op =) subst s2) then SOME ((s1, s2) :: subst) |
|
351 |
else NONE) |
|
352 |
| (false, false) => |
|
353 |
if s1 = s2 andalso length tm1 = length tm2 then |
|
354 |
SOME subst |> fold do_term_pair (tm1 ~~ tm2) |
|
355 |
else |
|
356 |
NONE |
|
357 |
| _ => NONE |
|
358 |
in SOME subst |> do_term_pair (tm1, tm2) |> is_some end |
|
359 |
||
360 |
fun is_same_formula subst (AQuant (q1, xs1, phi1)) (AQuant (q2, xs2, phi2)) = |
|
361 |
q1 = q2 andalso length xs1 = length xs2 andalso |
|
362 |
is_same_formula ((map fst xs1 ~~ map fst xs2) @ subst) phi1 phi2 |
|
363 |
| is_same_formula subst (AConn (c1, phis1)) (AConn (c2, phis2)) = |
|
364 |
c1 = c2 andalso length phis1 = length phis2 andalso |
|
365 |
forall (uncurry (is_same_formula subst)) (phis1 ~~ phis2) |
|
366 |
| is_same_formula subst (AAtom (ATerm ("equal", [tm11, tm12]))) (AAtom tm2) = |
|
367 |
is_same_term subst (ATerm ("equal", [tm11, tm12])) tm2 orelse |
|
368 |
is_same_term subst (ATerm ("equal", [tm12, tm11])) tm2 |
|
369 |
| is_same_formula subst (AAtom tm1) (AAtom tm2) = is_same_term subst tm1 tm2 |
|
370 |
| is_same_formula _ _ _ = false |
|
371 |
||
372 |
fun matching_formula_line_identifier phi (Formula (ident, _, phi', _, _)) = |
|
373 |
if is_same_formula [] phi phi' then SOME ident else NONE |
|
374 |
| matching_formula_line_identifier _ _ = NONE |
|
375 |
||
376 |
fun find_formula_in_problem problem phi = |
|
377 |
problem |> maps snd |> map_filter (matching_formula_line_identifier phi) |
|
43481 | 378 |
|> try (single o hd) |
42943 | 379 |
|
42962
3b50fdeb6cfc
started adding support for THF output (but no lambdas)
blanchet
parents:
42961
diff
changeset
|
380 |
(* Syntax: (cnf|fof|tff|thf)\(<num>, <formula_role>, |
3b50fdeb6cfc
started adding support for THF output (but no lambdas)
blanchet
parents:
42961
diff
changeset
|
381 |
<formula> <extra_arguments>\). |
39452 | 382 |
The <num> could be an identifier, but we assume integers. *) |
42943 | 383 |
fun parse_tstp_line problem = |
42968
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
384 |
((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
|
385 |
|| Scan.this_string tptp_tff || Scan.this_string tptp_thf) -- $$ "(") |
42943 | 386 |
|-- scan_general_id --| $$ "," -- Symbol.scan_id --| $$ "," |
45235
7187bce94e88
more robust parsing of TSTP sources -- Vampire has nonstandard "introduced()" tags and Waldmeister(OnTPTP) has weird "theory(...)" dependencies
blanchet
parents:
45209
diff
changeset
|
387 |
-- (parse_formula || skip_term >> K dummy_phi) -- parse_tstp_extra_arguments |
7187bce94e88
more robust parsing of TSTP sources -- Vampire has nonstandard "introduced()" tags and Waldmeister(OnTPTP) has weird "theory(...)" dependencies
blanchet
parents:
45209
diff
changeset
|
388 |
--| $$ ")" --| $$ "." |
42943 | 389 |
>> (fn (((num, role), phi), deps) => |
390 |
let |
|
45209 | 391 |
val (name, rule, deps) = |
42943 | 392 |
(* Waldmeister isn't exactly helping. *) |
393 |
case deps of |
|
45208
9a00f9cc8707
marginally cleaner proof parsing, that doesn't stumble upon LEO-II's E-step proofs
blanchet
parents:
45203
diff
changeset
|
394 |
File_Source (_, SOME s) => |
42943 | 395 |
((num, |
44417 | 396 |
if s = waldmeister_conjecture then |
42943 | 397 |
find_formula_in_problem problem (mk_anot phi) |
398 |
else |
|
45209 | 399 |
SOME [s |> perhaps (try (unprefix tofof_fact_prefix))]), "", |
42943 | 400 |
[]) |
45208
9a00f9cc8707
marginally cleaner proof parsing, that doesn't stumble upon LEO-II's E-step proofs
blanchet
parents:
45203
diff
changeset
|
401 |
| File_Source _ => |
45209 | 402 |
((num, find_formula_in_problem problem phi), "", []) |
403 |
| Inference_Source (rule, deps) => ((num, NONE), rule, deps) |
|
42943 | 404 |
in |
405 |
case role of |
|
406 |
"definition" => |
|
407 |
(case phi of |
|
408 |
AConn (AIff, [phi1 as AAtom _, phi2]) => |
|
409 |
Definition (name, phi1, phi2) |
|
410 |
| AAtom (ATerm ("equal", _)) => |
|
411 |
(* Vampire's equality proxy axiom *) |
|
45209 | 412 |
Inference (name, phi, rule, map (rpair NONE) deps) |
42968
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
413 |
| _ => raise UNRECOGNIZED_ATP_PROOF ()) |
45209 | 414 |
| _ => Inference (name, phi, rule, map (rpair NONE) deps) |
42943 | 415 |
end) |
39452 | 416 |
|
417 |
(**** PARSING OF SPASS OUTPUT ****) |
|
418 |
||
419 |
(* SPASS returns clause references of the form "x.y". We ignore "y", whose role |
|
420 |
is not clear anyway. *) |
|
421 |
val parse_dot_name = scan_general_id --| $$ "." --| scan_general_id |
|
422 |
||
423 |
val parse_spass_annotations = |
|
424 |
Scan.optional ($$ ":" |-- Scan.repeat (parse_dot_name |
|
425 |
--| Scan.option ($$ ","))) [] |
|
426 |
||
427 |
(* It is not clear why some literals are followed by sequences of stars and/or |
|
428 |
pluses. We ignore them. *) |
|
39602 | 429 |
fun parse_decorated_atom x = |
430 |
(parse_atom --| Scan.repeat ($$ "*" || $$ "+" || $$ " ")) x |
|
39452 | 431 |
|
432 |
fun mk_horn ([], []) = AAtom (ATerm ("c_False", [])) |
|
42943 | 433 |
| mk_horn ([], pos_lits) = foldr1 (uncurry (mk_aconn AOr)) pos_lits |
434 |
| mk_horn (neg_lits, []) = mk_anot (foldr1 (uncurry (mk_aconn AAnd)) neg_lits) |
|
39452 | 435 |
| mk_horn (neg_lits, pos_lits) = |
42943 | 436 |
mk_aconn AImplies (foldr1 (uncurry (mk_aconn AAnd)) neg_lits) |
437 |
(foldr1 (uncurry (mk_aconn AOr)) pos_lits) |
|
39452 | 438 |
|
39645 | 439 |
fun parse_horn_clause x = |
440 |
(Scan.repeat parse_decorated_atom --| $$ "|" --| $$ "|" |
|
441 |
-- Scan.repeat parse_decorated_atom --| $$ "-" --| $$ ">" |
|
442 |
-- Scan.repeat parse_decorated_atom |
|
443 |
>> (mk_horn o apfst (op @))) x |
|
39452 | 444 |
|
43481 | 445 |
fun resolve_spass_num spass_names num = |
446 |
case Int.fromString num of |
|
447 |
SOME j => if j > 0 andalso j <= Vector.length spass_names then |
|
448 |
SOME (Vector.sub (spass_names, j - 1)) |
|
449 |
else |
|
450 |
NONE |
|
451 |
| NONE => NONE |
|
452 |
||
45162 | 453 |
(* Syntax: <num>[0:<inference><annotations>] <atoms> || <atoms> -> <atoms>. *) |
454 |
fun parse_spass_line spass_names = |
|
45209 | 455 |
scan_general_id --| $$ "[" --| $$ "0" --| $$ ":" -- Symbol.scan_id |
45162 | 456 |
-- parse_spass_annotations --| $$ "]" -- parse_horn_clause --| $$ "." |
45209 | 457 |
>> (fn (((num, rule), deps), u) => |
458 |
Inference ((num, resolve_spass_num spass_names num), u, rule, |
|
45162 | 459 |
map (swap o `(resolve_spass_num spass_names)) deps)) |
460 |
||
461 |
(* Syntax: <name> *) |
|
45203 | 462 |
fun parse_satallax_line x = |
463 |
(scan_general_id --| Scan.option ($$ " ") |
|
45209 | 464 |
>> (fn s => Inference ((s, SOME [s]), dummy_phi, "", []))) x |
43481 | 465 |
|
466 |
fun parse_line problem spass_names = |
|
45203 | 467 |
parse_tstp_line problem || parse_spass_line spass_names || parse_satallax_line |
43481 | 468 |
fun parse_proof problem spass_names tstp = |
44784 | 469 |
tstp |> strip_spaces_except_between_idents |
43481 | 470 |
|> raw_explode |
471 |
|> Scan.finite Symbol.stopper |
|
472 |
(Scan.error (!! (fn _ => raise UNRECOGNIZED_ATP_PROOF ()) |
|
473 |
(Scan.repeat1 (parse_line problem spass_names)))) |
|
474 |
|> fst |
|
475 |
||
476 |
(** SPASS's FLOTTER hack **) |
|
477 |
||
478 |
(* This is a hack required for keeping track of facts after they have been |
|
479 |
clausified by SPASS's FLOTTER preprocessor. The "ATP/scripts/spass" script is |
|
480 |
also part of this hack. *) |
|
481 |
||
482 |
val set_ClauseFormulaRelationN = "set_ClauseFormulaRelation" |
|
483 |
||
484 |
fun extract_clause_sequence output = |
|
485 |
let |
|
486 |
val tokens_of = String.tokens (not o Char.isAlphaNum) |
|
487 |
fun extract_num ("clause" :: (ss as _ :: _)) = Int.fromString (List.last ss) |
|
488 |
| extract_num _ = NONE |
|
489 |
in output |> split_lines |> map_filter (extract_num o tokens_of) end |
|
39452 | 490 |
|
43481 | 491 |
fun is_head_digit s = Char.isDigit (String.sub (s, 0)) |
492 |
val scan_integer = Scan.many1 is_head_digit >> (the o Int.fromString o implode) |
|
493 |
||
494 |
val parse_clause_formula_pair = |
|
495 |
$$ "(" |-- scan_integer --| $$ "," |
|
496 |
-- (Symbol.scan_id ::: Scan.repeat ($$ "," |-- Symbol.scan_id)) --| $$ ")" |
|
497 |
--| Scan.option ($$ ",") |
|
498 |
val parse_clause_formula_relation = |
|
499 |
Scan.this_string set_ClauseFormulaRelationN |-- $$ "(" |
|
500 |
|-- Scan.repeat parse_clause_formula_pair |
|
501 |
val extract_clause_formula_relation = |
|
502 |
Substring.full #> Substring.position set_ClauseFormulaRelationN |
|
503 |
#> snd #> Substring.position "." #> fst #> Substring.string |
|
504 |
#> raw_explode #> filter_out Symbol.is_blank #> parse_clause_formula_relation |
|
505 |
#> fst |
|
39452 | 506 |
|
43481 | 507 |
fun extract_spass_name_vector output = |
508 |
(if String.isSubstring set_ClauseFormulaRelationN output then |
|
509 |
let |
|
510 |
val num_seq = extract_clause_sequence output |
|
511 |
val name_map = extract_clause_formula_relation output |
|
512 |
val name_seq = num_seq |> map (these o AList.lookup (op =) name_map) |
|
513 |
in name_seq end |
|
514 |
else |
|
515 |
[]) |
|
516 |
|> Vector.fromList |
|
517 |
||
518 |
fun atp_proof_from_tstplike_proof _ _ "" = [] |
|
519 |
| atp_proof_from_tstplike_proof problem output tstp = |
|
520 |
tstp ^ "$" (* the $ sign acts as a sentinel (FIXME: needed?) *) |
|
521 |
|> parse_proof problem (extract_spass_name_vector output) |
|
42449
494e4ac5b0f8
detect some unsound proofs before showing them to the user
blanchet
parents:
42060
diff
changeset
|
522 |
|> sort (step_name_ord o pairself step_name) |
42968
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
523 |
|
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
524 |
fun clean_up_dependencies _ [] = [] |
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
525 |
| clean_up_dependencies seen ((step as Definition (name, _, _)) :: steps) = |
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
526 |
step :: clean_up_dependencies (name :: seen) steps |
45209 | 527 |
| clean_up_dependencies seen (Inference (name, u, rule, deps) :: steps) = |
528 |
Inference (name, u, rule, |
|
42968
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
529 |
map_filter (fn dep => find_first (is_same_atp_step dep) seen) |
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
530 |
deps) :: |
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
531 |
clean_up_dependencies (name :: seen) steps |
74415622d293
more work on parsing LEO-II proofs and extracting uses of extensionality
blanchet
parents:
42966
diff
changeset
|
532 |
|
42975 | 533 |
fun clean_up_atp_proof_dependencies proof = clean_up_dependencies [] proof |
39452 | 534 |
|
39454 | 535 |
fun map_term_names_in_term f (ATerm (s, ts)) = |
536 |
ATerm (f s, map (map_term_names_in_term f) ts) |
|
537 |
fun map_term_names_in_formula f (AQuant (q, xs, phi)) = |
|
538 |
AQuant (q, xs, map_term_names_in_formula f phi) |
|
539 |
| map_term_names_in_formula f (AConn (c, phis)) = |
|
540 |
AConn (c, map (map_term_names_in_formula f) phis) |
|
541 |
| map_term_names_in_formula f (AAtom t) = AAtom (map_term_names_in_term f t) |
|
542 |
fun map_term_names_in_step f (Definition (name, phi1, phi2)) = |
|
543 |
Definition (name, map_term_names_in_formula f phi1, |
|
544 |
map_term_names_in_formula f phi2) |
|
45209 | 545 |
| map_term_names_in_step f (Inference (name, phi, rule, deps)) = |
546 |
Inference (name, map_term_names_in_formula f phi, rule, deps) |
|
39454 | 547 |
fun map_term_names_in_atp_proof f = map (map_term_names_in_step f) |
548 |
||
549 |
fun nasty_name pool s = s |> Symtab.lookup pool |> the_default s |
|
550 |
fun nasty_atp_proof pool = |
|
551 |
if Symtab.is_empty pool then I |
|
552 |
else map_term_names_in_atp_proof (nasty_name pool) |
|
553 |
||
39452 | 554 |
end; |