src/HOL/Tools/ATP/atp_proof.ML
author blanchet
Tue Nov 07 15:16:41 2017 +0100 (19 months ago)
changeset 67021 41f1f8c4259b
parent 66545 97c441c8665d
child 67022 49309fe530fd
permissions -rw-r--r--
integrated Leo-III in Sledgehammer (thanks to Alexander Steen for the patch)
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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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    Author:     Mathias Fleury, ENS Rennes
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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 atp_type = 'a ATP_Problem.atp_type
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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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    MaybeUnprovable |
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    Unprovable |
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    GaveUp |
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    ProofMissing |
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    ProofIncomplete |
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    ProofUnparsable |
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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 = (('a, 'a, ('a, 'a atp_type) atp_term, 'a) atp_formula, string) atp_step list
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  (* Named ATPs *)
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  val agsyholN : string
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  val alt_ergoN : string
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  val dummy_thfN : string
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  val dummy_thf_mlN : string
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  val eN : string
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  val e_malesN : string
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  val e_parN : string
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  val e_sineN : string
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  val e_tofofN : string
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  val iproverN : string
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  val iprover_eqN : string
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  val leo2N : string
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  val leo3N : string
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  val pirateN : string
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  val satallaxN : string
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  val snarkN : string
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  val spassN : string
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  val vampireN : string
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  val waldmeisterN : string
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  val waldmeister_newN : string
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  val z3_tptpN : string
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  val zipperpositionN : string
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  val remote_prefix : string
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  val agsyhol_core_rule : string
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  val spass_input_rule : string
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  val spass_pre_skolemize_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 : (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 : string list ->
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    (string, string atp_type, (string, string atp_type) atp_term, string) atp_formula * string list
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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 : (string -> string) -> string atp_proof -> string atp_proof
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  val nasty_atp_proof : string Symtab.table -> string atp_proof -> string atp_proof
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  val skip_term: string list -> string * string list
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  val parse_thf0_formula :string list ->
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    ('a, 'b, (string, string ATP_Problem.atp_type) ATP_Problem.atp_term, 'c) ATP_Problem.atp_formula *
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    string list
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  val dummy_atype : string ATP_Problem.atp_type
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  val role_of_tptp_string: string -> ATP_Problem.atp_formula_role
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  val parse_line: string -> ('a * string ATP_Problem.atp_problem_line list) list ->
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    string list -> ((string * string list) * ATP_Problem.atp_formula_role *
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    (string, 'b, (string, string ATP_Problem.atp_type) ATP_Problem.atp_term,
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      'c) ATP_Problem.atp_formula
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    * string * (string * 'd list) list) list * string list
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  val core_inference : 'a -> 'b -> ('b * 'b list) * ATP_Problem.atp_formula_role *
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    ('c, 'd, (string, 'e) ATP_Problem.atp_term, 'f) ATP_Problem.atp_formula * 'a * 'g list
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  val vampire_step_name_ord : (string * 'a) * (string * 'a) -> order
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  val core_of_agsyhol_proof :  string -> string list option
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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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(* Named ATPs *)
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val agsyholN = "agsyhol"
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val alt_ergoN = "alt_ergo"
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val dummy_thfN = "dummy_thf" (* for experiments *)
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val dummy_thf_mlN = "dummy_thf_ml" (* for experiments *)
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val eN = "e"
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val e_malesN = "e_males"
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val e_parN = "e_par"
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val e_sineN = "e_sine"
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val e_tofofN = "e_tofof"
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val iproverN = "iprover"
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val iprover_eqN = "iprover_eq"
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val leo2N = "leo2"
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val leo3N = "leo3"
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val pirateN = "pirate"
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val satallaxN = "satallax"
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val snarkN = "snark"
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val spassN = "spass"
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val vampireN = "vampire"
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val waldmeisterN = "waldmeister"
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val waldmeister_newN = "waldmeister_new"
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val z3_tptpN = "z3_tptp"
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val zipperpositionN = "zipperposition"
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val remote_prefix = "remote_"
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val agsyhol_core_rule = "__agsyhol_core" (* arbitrary *)
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val spass_input_rule = "Inp"
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val spass_pre_skolemize_rule = "__Sko0" (* arbitrary *)
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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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  MaybeUnprovable |
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  Unprovable |
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  GaveUp |
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  ProofMissing |
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  ProofIncomplete |
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  ProofUnparsable |
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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 MaybeUnprovable = "The generated problem is maybe unprovable"
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  | 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 proof"
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  | string_of_atp_failure ProofUnparsable =
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    "The prover claims the conjecture is a theorem but provided an 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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    ", which could be due to a bug in Sledgehammer or to inconsistent axioms (including \"sorry\"s)"
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  | string_of_atp_failure CantConnect = "Cannot connect to 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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  | string_of_atp_failure NoLibwwwPerl =
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    "The Perl module \"libwww-perl\"" ^ missing_message_tail
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  | string_of_atp_failure MalformedInput = "The generated problem is malformed"
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  | 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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  | 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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  | string_of_atp_failure (UnknownError s) =
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    "A prover error occurred" ^
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    (if s = "" then " (pass the \"verbose\" option for details)" else ":\n" ^ s)
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fun extract_delimited (begin_delim, end_delim) output =
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  (case first_field begin_delim output of
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    SOME (_, tail) =>
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    (case first_field "\n" tail of
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      SOME (_, tail') =>
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      if end_delim = "" then
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        tail'
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      else
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        (case first_field end_delim tail' of
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          SOME (body, _) => body
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        | NONE => "")
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    | NONE => "")
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  | NONE => "")
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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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(* 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 apply2 (find_first (fn s => String.isSubstring s output)) (ListPair.unzip delims) of
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    (SOME begin_delim, SOME end_delim) => extract_delimited (begin_delim, end_delim) output
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  | _ => "")
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fun extract_known_atp_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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fun extract_tstplike_proof_and_outcome verbose proof_delims known_failures output =
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  (case (extract_tstplike_proof proof_delims output,
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      extract_known_atp_failure known_failures output) of
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    (_, SOME ProofIncomplete) => ("", NONE)
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  | (_, SOME ProofUnparsable) => ("", NONE)
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  | ("", SOME ProofMissing) => ("", NONE)
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  | ("", NONE) => ("", SOME (UnknownError (short_output verbose output)))
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  | res as ("", _) => res
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  | (tstplike_proof, _) => (tstplike_proof, NONE))
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type atp_step_name = string * string list
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fun is_same_atp_step (s1, _) (s2, _) = s1 = s2
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val vampire_fact_prefix = "f"
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fun vampire_step_name_ord p =
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  let val q = apply2 fst p in
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    (* The "unprefix" part is to cope with Vampire's output. *)
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    (case apply2 (Int.fromString o perhaps (try (unprefix vampire_fact_prefix))) q of
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      (SOME i, SOME j) => int_ord (i, j)
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    | _ => raise Fail "not Vampire")
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  end
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type ('a, 'b) atp_step = atp_step_name * atp_formula_role * 'a * 'b * atp_step_name list
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type 'a atp_proof = (('a, 'a, ('a, 'a atp_type) atp_term, 'a) atp_formula, string) atp_step list
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(**** PARSING OF TSTP FORMAT ****)
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(* Strings enclosed in single quotes (e.g., file names), identifiers possibly starting
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   with "$" and possibly with "!" in them (for "z3_tptp"). *)
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val scan_general_id =
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  $$ "'" |-- Scan.repeat (~$$ "'") --| $$ "'" >> implode
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  || (Scan.repeat ($$ "$") -- Scan.many1 Symbol.is_letdig >> (op ^ o apply2 implode))
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    -- Scan.optional (Scan.repeat ($$ "!") -- Scan.many1 Symbol.is_letdig >> (op ^ o apply2 implode)) ""
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    >> op ^
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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 n accum (ss as s :: ss') =
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        if (s = "," orelse s = ".") andalso n = 0 then
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          (accum, ss)
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        else if member (op =) [")", "]"] s then
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          if n = 0 then (accum, ss) else skip (n - 1) (s :: accum) ss'
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        else if member (op =) ["(", "["] s then
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          skip (n + 1) (s :: accum) ss'
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        else
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          skip n (s :: accum) ss'
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  in
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    skip 0 [] #>> (rev #> implode)
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  end
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datatype source =
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  File_Source of string * string option |
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  Inference_Source of string * string list |
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  Introduced_Source of string
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val dummy_phi = AAtom (ATerm (("", []), []))
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val dummy_inference = Inference_Source ("", [])
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val dummy_atype = AType (("", []), [])
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(* "skip_term" is there to cope with Waldmeister nonsense such as "theory(equality)". *)
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fun parse_dependency x =
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  (parse_inference_source >> snd
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   || scan_general_id --| skip_term >> single) x
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and parse_dependencies x =
wenzelm@61476
   320
  (Scan.repeats (Scan.option ($$ ",") |-- parse_dependency)
wenzelm@61476
   321
   >> (filter_out (curry (op =) "theory"))) x
blanchet@50011
   322
and parse_file_source x =
blanchet@50011
   323
  (Scan.this_string "file" |-- $$ "(" |-- scan_general_id
fleury@57154
   324
   -- Scan.option ($$ "," |-- scan_general_id
blanchet@57266
   325
     --| Scan.option ($$ "," |-- $$ "[" -- Scan.option scan_general_id --| $$ "]")) --| $$ ")") x
blanchet@50011
   326
and parse_inference_source x =
blanchet@50011
   327
  (Scan.this_string "inference" |-- $$ "(" |-- scan_general_id
blanchet@50011
   328
   --| skip_term --| $$ "," --| skip_term --| $$ "," --| $$ "["
blanchet@50011
   329
   -- parse_dependencies --| $$ "]" --| $$ ")") x
blanchet@57785
   330
and parse_introduced_source x =
blanchet@57785
   331
  (Scan.this_string "introduced" |-- $$ "(" |-- scan_general_id
blanchet@57785
   332
   --| Scan.option ($$ "," |-- skip_term) --| $$ ")") x
blanchet@50011
   333
and parse_source x =
blanchet@50011
   334
  (parse_file_source >> File_Source
blanchet@50011
   335
   || parse_inference_source >> Inference_Source
blanchet@57785
   336
   || parse_introduced_source >> Introduced_Source
blanchet@52756
   337
   || scan_general_id >> (fn s => Inference_Source ("", [s])) (* for E *)
blanchet@45235
   338
   || skip_term >> K dummy_inference) x
blanchet@39452
   339
blanchet@54799
   340
fun list_app (f, args) = fold (fn arg => fn f => ATerm ((tptp_app, []), [f, arg])) args f
blanchet@42966
   341
blanchet@54820
   342
fun parse_class x = scan_general_id x
blanchet@54820
   343
and parse_classes x = (parse_class ::: Scan.repeat ($$ "&" |-- parse_class)) x
blanchet@54811
   344
blanchet@54811
   345
fun parse_type x =
blanchet@66428
   346
  (($$ "(" |-- parse_type --| $$ ")"
blanchet@66428
   347
    || (scan_general_id -- Scan.optional ($$ "{" |-- parse_classes --| $$ "}") [])
blanchet@66428
   348
        -- Scan.optional ($$ "(" |-- parse_types --| $$ ")") []
blanchet@66428
   349
       >> AType)
blanchet@66544
   350
   -- Scan.option (($$ tptp_fun_type || $$ tptp_product_type) -- parse_type)
blanchet@66428
   351
  >> (fn (a, NONE) => a
blanchet@66544
   352
       | (a, SOME (fun_or_product, b)) =>
blanchet@66544
   353
         if fun_or_product = tptp_fun_type then AFun (a, b)
blanchet@66544
   354
         else AType ((tptp_product_type, []), [a, b]))) x
blanchet@66544
   355
and parse_types x =
blanchet@66544
   356
  (parse_type ::: Scan.repeat ($$ "," |-- parse_type)) x
blanchet@54811
   357
blanchet@58477
   358
(* We currently half ignore types. *)
blanchet@58477
   359
fun parse_optional_type_signature x =
blanchet@58600
   360
  (Scan.option ($$ tptp_has_type |-- parse_type)
blanchet@58600
   361
   >> (fn some as SOME (AType ((s, []), [])) => if s = dfg_individual_type then NONE else some
blanchet@58600
   362
        | res => res)) x
blanchet@42968
   363
and parse_arg x =
blanchet@58477
   364
  ($$ "(" |-- parse_term --| $$ ")" --| parse_optional_type_signature
blanchet@58477
   365
   || scan_general_id -- parse_optional_type_signature
blanchet@54811
   366
       -- Scan.optional ($$ "<" |-- parse_types --| $$ ">") []
blanchet@54811
   367
       -- Scan.optional ($$ "(" |-- parse_terms --| $$ ")") []
blanchet@58477
   368
     >> (fn (((s, ty_opt), tyargs), args) =>
blanchet@58477
   369
       if is_tptp_variable s andalso null tyargs andalso null args andalso is_some ty_opt then
blanchet@58477
   370
         ATerm ((s, the_list ty_opt), [])
blanchet@58477
   371
       else
blanchet@58477
   372
         ATerm ((s, tyargs), args))) x
blanchet@56397
   373
and parse_term x =
blanchet@56397
   374
  (parse_arg -- Scan.repeat ($$ tptp_app |-- parse_arg)
blanchet@58477
   375
   --| parse_optional_type_signature >> list_app) x
blanchet@54799
   376
and parse_terms x = (parse_term ::: Scan.repeat ($$ "," |-- parse_term)) x
blanchet@39452
   377
blanchet@39598
   378
fun parse_atom x =
blanchet@54811
   379
  (parse_term -- Scan.option (Scan.option ($$ tptp_not_infix) --| $$ tptp_equal -- parse_term)
blanchet@39598
   380
   >> (fn (u1, NONE) => AAtom u1
blanchet@45881
   381
        | (u1, SOME (neg, u2)) =>
blanchet@48132
   382
          AAtom (ATerm (("equal", []), [u1, u2])) |> is_some neg ? mk_anot)) x
blanchet@39452
   383
blanchet@54788
   384
(* TPTP formulas are fully parenthesized, so we don't need to worry about operator precedence. *)
blanchet@42605
   385
fun parse_literal x =
blanchet@42968
   386
  ((Scan.repeat ($$ tptp_not) >> length)
blanchet@42605
   387
      -- ($$ "(" |-- parse_formula --| $$ ")"
blanchet@42605
   388
          || parse_quantified_formula
blanchet@42605
   389
          || parse_atom)
blanchet@42605
   390
      >> (fn (n, phi) => phi |> n mod 2 = 1 ? mk_anot)) x
blanchet@42605
   391
and parse_formula x =
blanchet@42605
   392
  (parse_literal
blanchet@43163
   393
   -- Scan.option ((Scan.this_string tptp_implies
blanchet@43163
   394
                    || Scan.this_string tptp_iff
blanchet@43163
   395
                    || Scan.this_string tptp_not_iff
blanchet@43163
   396
                    || Scan.this_string tptp_if
blanchet@43163
   397
                    || $$ tptp_or
blanchet@43163
   398
                    || $$ tptp_and) -- parse_formula)
blanchet@39452
   399
   >> (fn (phi1, NONE) => phi1
blanchet@43163
   400
        | (phi1, SOME (c, phi2)) =>
blanchet@43163
   401
          if c = tptp_implies then mk_aconn AImplies phi1 phi2
blanchet@43163
   402
          else if c = tptp_iff then mk_aconn AIff phi1 phi2
blanchet@43163
   403
          else if c = tptp_not_iff then mk_anot (mk_aconn AIff phi1 phi2)
blanchet@43163
   404
          else if c = tptp_if then mk_aconn AImplies phi2 phi1
blanchet@43163
   405
          else if c = tptp_or then mk_aconn AOr phi1 phi2
blanchet@43163
   406
          else if c = tptp_and then mk_aconn AAnd phi1 phi2
blanchet@43163
   407
          else raise Fail ("impossible connective " ^ quote c))) x
blanchet@42605
   408
and parse_quantified_formula x =
blanchet@42968
   409
  (($$ tptp_forall >> K AForall || $$ tptp_exists >> K AExists)
blanchet@42605
   410
   --| $$ "[" -- parse_terms --| $$ "]" --| $$ ":" -- parse_literal
blanchet@61030
   411
   >> (fn ((q, ts), phi) => AQuant (q, map (fn ATerm ((s, _), _) => (s, NONE)) ts, phi))) x
blanchet@39452
   412
blanchet@39452
   413
val parse_tstp_extra_arguments =
blanchet@56397
   414
  Scan.optional ($$ "," |-- parse_source --| Scan.option ($$ "," |-- skip_term)) dummy_inference
blanchet@39452
   415
blanchet@47927
   416
val waldmeister_conjecture_name = "conjecture_1"
blanchet@42943
   417
blanchet@42536
   418
val tofof_fact_prefix = "fof_"
blanchet@41203
   419
blanchet@42943
   420
fun is_same_term subst tm1 tm2 =
blanchet@42943
   421
  let
fleury@57257
   422
    fun do_term_pair (AAbs (((var1, typ1), body1), args1)) (AAbs (((var2, typ2), body2), args2))
fleury@57257
   423
          (SOME subst) =
fleury@57257
   424
        if typ1 <> typ2 andalso length args1 = length args2 then NONE
fleury@57257
   425
        else
fleury@57257
   426
          let val ls = length subst in
fleury@57257
   427
            SOME ((var1, var2) :: subst)
fleury@57257
   428
            |> do_term_pair body1 body2
fleury@57257
   429
            |> (fn SOME subst => SOME (nth_drop (length subst - ls - 1) subst)
fleury@57257
   430
                 | NONE => NONE)
fleury@57257
   431
            |> (if length args1 = length args2
fleury@57257
   432
              then fold2 do_term_pair args1 args2
fleury@57258
   433
              else K NONE)
fleury@57257
   434
          end
fleury@57257
   435
      | do_term_pair (ATerm ((s1, _), args1)) (ATerm ((s2, _), args2)) (SOME subst) =
wenzelm@59058
   436
        (case apply2 is_tptp_variable (s1, s2) of
blanchet@42943
   437
          (true, true) =>
blanchet@42943
   438
          (case AList.lookup (op =) subst s1 of
fleury@57257
   439
            SOME s2' => if s2' = s2 then SOME subst else NONE
fleury@57257
   440
          | NONE =>
fleury@57257
   441
            if null (AList.find (op =) subst s2) then SOME ((s1, s2) :: subst)
fleury@57257
   442
            else NONE)
blanchet@42943
   443
        | (false, false) =>
fleury@57257
   444
          if s1 = s2 then
fleury@57257
   445
            SOME subst
blanchet@42943
   446
          else
blanchet@42943
   447
            NONE
fleury@57257
   448
        | _ => NONE) |> (if length args1 = length args2
fleury@57257
   449
                       then fold2 do_term_pair args1 args2
fleury@57258
   450
                       else K NONE)
fleury@57257
   451
      | do_term_pair _ _ _ = NONE
blanchet@54788
   452
  in
fleury@57257
   453
    SOME subst |> do_term_pair tm1 tm2 |> is_some
blanchet@54788
   454
  end
blanchet@42943
   455
blanchet@47921
   456
fun is_same_formula comm subst (AQuant (q1, xs1, phi1)) (AQuant (q2, xs2, phi2)) =
blanchet@42943
   457
    q1 = q2 andalso length xs1 = length xs2 andalso
blanchet@47921
   458
    is_same_formula comm ((map fst xs1 ~~ map fst xs2) @ subst) phi1 phi2
blanchet@47921
   459
  | is_same_formula comm subst (AConn (c1, phis1)) (AConn (c2, phis2)) =
blanchet@42943
   460
    c1 = c2 andalso length phis1 = length phis2 andalso
blanchet@47921
   461
    forall (uncurry (is_same_formula comm subst)) (phis1 ~~ phis2)
blanchet@57202
   462
  | is_same_formula comm subst (AAtom (tm1 as ATerm (("equal", tys), [tm11, tm12]))) (AAtom tm2) =
blanchet@47926
   463
    is_same_term subst tm1 tm2 orelse
blanchet@54799
   464
    (comm andalso is_same_term subst (ATerm (("equal", tys), [tm12, tm11])) tm2)
blanchet@47921
   465
  | is_same_formula _ subst (AAtom tm1) (AAtom tm2) = is_same_term subst tm1 tm2
blanchet@47921
   466
  | is_same_formula _ _ _ _ = false
blanchet@42943
   467
blanchet@50521
   468
fun matching_formula_line_identifier phi (Formula ((ident, _), _, phi', _, _)) =
blanchet@47921
   469
    if is_same_formula true [] phi phi' then SOME (ident, phi') else NONE
blanchet@42943
   470
  | matching_formula_line_identifier _ _ = NONE
blanchet@42943
   471
blanchet@54799
   472
fun find_formula_in_problem phi =
blanchet@54799
   473
  maps snd
blanchet@54799
   474
  #> map_filter (matching_formula_line_identifier phi)
blanchet@54799
   475
  #> try (single o hd)
blanchet@54799
   476
  #> the_default []
blanchet@42943
   477
blanchet@54799
   478
fun commute_eq (AAtom (ATerm ((s, tys), tms))) = AAtom (ATerm ((s, tys), rev tms))
blanchet@47946
   479
  | commute_eq _ = raise Fail "expected equation"
blanchet@47921
   480
blanchet@50012
   481
fun role_of_tptp_string "axiom" = Axiom
blanchet@50012
   482
  | role_of_tptp_string "definition" = Definition
blanchet@50012
   483
  | role_of_tptp_string "lemma" = Lemma
blanchet@50012
   484
  | role_of_tptp_string "hypothesis" = Hypothesis
blanchet@50012
   485
  | role_of_tptp_string "conjecture" = Conjecture
blanchet@50012
   486
  | role_of_tptp_string "negated_conjecture" = Negated_Conjecture
blanchet@50012
   487
  | role_of_tptp_string "plain" = Plain
fleury@57255
   488
  | role_of_tptp_string "type" = Type_Role
blanchet@50012
   489
  | role_of_tptp_string _ = Unknown
blanchet@50012
   490
blanchet@57697
   491
val tptp_binary_ops =
blanchet@57697
   492
  [tptp_and, tptp_not_and, tptp_or, tptp_not_or, tptp_implies, tptp_if, tptp_iff, tptp_not_iff,
blanchet@61329
   493
   tptp_equal, tptp_not_equal, tptp_app]
fleury@57256
   494
fleury@57714
   495
fun parse_one_in_list xs =
fleury@57714
   496
  foldl1 (op ||) (map Scan.this_string xs)
fleury@57709
   497
fleury@57255
   498
fun parse_binary_op x =
fleury@57709
   499
  (parse_one_in_list tptp_binary_ops
blanchet@57697
   500
   >> (fn c => if c = tptp_equal then "equal" else c)) x
fleury@57255
   501
fleury@57709
   502
val parse_fo_quantifier =
fleury@57709
   503
   parse_one_in_list [tptp_forall, tptp_exists, tptp_lambda, tptp_hilbert_choice, tptp_hilbert_the]
fleury@57709
   504
fleury@57709
   505
val parse_ho_quantifier =
fleury@57709
   506
   parse_one_in_list [tptp_ho_forall, tptp_ho_exists, tptp_hilbert_choice, tptp_hilbert_the]
fleury@57709
   507
fleury@57255
   508
fun mk_ho_of_fo_quant q =
fleury@57255
   509
  if q = tptp_forall then tptp_ho_forall
fleury@57255
   510
  else if q = tptp_exists then tptp_ho_exists
fleury@57709
   511
  else if q = tptp_hilbert_choice then tptp_hilbert_choice
fleury@57709
   512
  else if q = tptp_hilbert_the then tptp_hilbert_the
fleury@57255
   513
  else raise Fail ("unrecognized quantification: " ^ q)
fleury@57255
   514
fleury@57255
   515
fun remove_thf_app (ATerm ((x, ty), arg)) =
blanchet@61329
   516
    if x = tptp_app then
blanchet@61329
   517
      (case arg of
blanchet@61329
   518
        ATerm ((x, ty), arg) :: t => remove_thf_app (ATerm ((x, ty), map remove_thf_app arg @ t))
blanchet@61329
   519
      | [AAbs ((var, tvar), phi), t] =>
blanchet@61329
   520
        remove_thf_app (AAbs ((var, tvar), map remove_thf_app phi @ [t])))
blanchet@61329
   521
    else
blanchet@61329
   522
      ATerm ((x, ty), map remove_thf_app arg)
fleury@57255
   523
  | remove_thf_app (AAbs (((x, ty), arg), t)) = AAbs (((x, ty), remove_thf_app arg), t)
fleury@57255
   524
blanchet@66428
   525
fun parse_typed_var x =
blanchet@66428
   526
  (Scan.repeat (scan_general_id -- Scan.option ($$ tptp_has_type |-- parse_type)
fleury@57255
   527
     --| Scan.option (Scan.this_string ","))
blanchet@66428
   528
   || $$ "(" |-- parse_typed_var --| $$ ")") x
fleury@57255
   529
fleury@57257
   530
fun parse_simple_thf0_term x =
blanchet@66428
   531
  (parse_fo_quantifier -- ($$ "[" |-- parse_typed_var --| $$ "]" --| $$ ":") -- parse_thf0_term
fleury@57257
   532
      >> (fn ((q, ys), t) =>
fleury@57255
   533
          fold_rev
fleury@57255
   534
            (fn (var, ty) => fn r =>
fleury@57257
   535
                AAbs (((var, the_default dummy_atype ty), r), [])
fleury@57257
   536
                |> (if tptp_lambda <> q then
fleury@57257
   537
                      mk_app (q |> mk_ho_of_fo_quant
fleury@57257
   538
                                |> mk_simple_aterm)
fleury@57257
   539
                    else I))
fleury@57257
   540
            ys t)
fleury@57257
   541
  || Scan.this_string tptp_not |-- parse_thf0_term >> mk_app (mk_simple_aterm tptp_not)
blanchet@66428
   542
  || scan_general_id -- Scan.option ($$ tptp_has_type |-- parse_type)
blanchet@61329
   543
    >> (fn (var, typ_opt) => ATerm ((var, the_list typ_opt), []))
fleury@57709
   544
  || parse_ho_quantifier >> mk_simple_aterm
fleury@57257
   545
  || $$ "(" |-- parse_thf0_term --| $$ ")"
fleury@58324
   546
  || parse_binary_op >> mk_simple_aterm) x
fleury@57257
   547
and parse_thf0_term x =
blanchet@61329
   548
  (parse_simple_thf0_term -- Scan.option (parse_binary_op -- parse_thf0_term)
fleury@57257
   549
    >> (fn (t1, SOME (c, t2)) =>
fleury@57257
   550
           if c = tptp_app then mk_app t1 t2 else mk_apps (mk_simple_aterm c) [t1, t2]
fleury@57257
   551
         | (t, NONE) => t)) x
fleury@57255
   552
fleury@57257
   553
fun parse_thf0_formula x = (parse_thf0_term #>> remove_thf_app #>> AAtom) x
fleury@57255
   554
fleury@57257
   555
fun parse_tstp_thf0_line problem =
blanchet@61329
   556
  (Scan.this_string tptp_thf -- $$ "(") |-- scan_general_id --| $$ ","
blanchet@61329
   557
  -- Symbol.scan_ascii_id --| $$ "," -- parse_thf0_formula -- parse_tstp_extra_arguments --| $$ ")"
blanchet@61329
   558
  --| $$ "."
fleury@57255
   559
  >> (fn (((num, role), phi), deps) =>
fleury@57255
   560
      let
fleury@57257
   561
        val role' = role_of_tptp_string role
fleury@57255
   562
        val ((name, phi), rule, deps) =
fleury@57255
   563
          (case deps of
fleury@57257
   564
            File_Source (_, SOME s) =>
fleury@57257
   565
            if role' = Definition then
fleury@57257
   566
              (((num, map fst (find_formula_in_problem phi problem)), phi), "", [])
fleury@57257
   567
            else
fleury@57257
   568
              (((num, [s |> perhaps (try (unprefix tofof_fact_prefix))]), phi), "", [])
fleury@57255
   569
          | Inference_Source (rule, deps) => (((num, []), phi), rule, deps))
fleury@57255
   570
      in
fleury@57257
   571
        [(name, role', phi, rule, map (rpair []) deps)]
fleury@57255
   572
      end)
fleury@57255
   573
blanchet@54788
   574
(* Syntax: (cnf|fof|tff|thf)\(<num>, <formula_role>, <formula> <extra_arguments>\).
blanchet@39452
   575
   The <num> could be an identifier, but we assume integers. *)
blanchet@42943
   576
fun parse_tstp_line problem =
blanchet@42968
   577
  ((Scan.this_string tptp_cnf || Scan.this_string tptp_fof
blanchet@42968
   578
    || Scan.this_string tptp_tff || Scan.this_string tptp_thf) -- $$ "(")
wenzelm@50236
   579
    |-- scan_general_id --| $$ "," -- Symbol.scan_ascii_id --| $$ ","
blanchet@45235
   580
    -- (parse_formula || skip_term >> K dummy_phi) -- parse_tstp_extra_arguments
blanchet@45235
   581
    --| $$ ")" --| $$ "."
blanchet@57785
   582
   >> (fn (((num, role0), phi), src) =>
blanchet@42943
   583
          let
blanchet@57785
   584
            val role = role_of_tptp_string role0
blanchet@57785
   585
            val ((name, phi), role', rule, deps) =
blanchet@42943
   586
              (* Waldmeister isn't exactly helping. *)
blanchet@57785
   587
              (case src of
blanchet@45208
   588
                File_Source (_, SOME s) =>
blanchet@47927
   589
                (if s = waldmeister_conjecture_name then
blanchet@54799
   590
                   (case find_formula_in_problem (mk_anot phi) problem of
blanchet@57202
   591
                     (* Waldmeister hack: Get the original orientation of the equation to avoid
blanchet@57202
   592
                        confusing Isar. *)
blanchet@47921
   593
                     [(s, phi')] =>
blanchet@47921
   594
                     ((num, [s]),
blanchet@54788
   595
                      phi |> not (is_same_formula false [] (mk_anot phi) phi') ? commute_eq)
blanchet@54788
   596
                   | _ => ((num, []), phi))
blanchet@47921
   597
                 else
blanchet@47921
   598
                   ((num, [s |> perhaps (try (unprefix tofof_fact_prefix))]),
blanchet@47921
   599
                    phi),
blanchet@57785
   600
                 role, "", [])
blanchet@45208
   601
              | File_Source _ =>
blanchet@57785
   602
                (((num, map fst (find_formula_in_problem phi problem)), phi), role, "", [])
blanchet@57785
   603
              | Inference_Source (rule, deps) => (((num, []), phi), role, rule, deps)
blanchet@57785
   604
              | Introduced_Source rule => (((num, []), phi), Lemma, rule, []))
blanchet@57785
   605
blanchet@57785
   606
            fun mk_step () = (name, role', phi, rule, map (rpair []) deps)
blanchet@42943
   607
          in
blanchet@57785
   608
            [(case role' of
blanchet@56404
   609
               Definition =>
blanchet@56404
   610
               (case phi of
fleury@57255
   611
                 AAtom (ATerm (("equal", _), _)) =>
blanchet@56404
   612
                  (* Vampire's equality proxy axiom *)
blanchet@56404
   613
                  (name, Definition, phi, rule, map (rpair []) deps)
fleury@57257
   614
               | _ => mk_step ())
blanchet@56404
   615
             | _ => mk_step ())]
blanchet@42943
   616
          end)
blanchet@39452
   617
blanchet@39452
   618
(**** PARSING OF SPASS OUTPUT ****)
blanchet@39452
   619
blanchet@57786
   620
(* SPASS returns clause references of the form "x.y". We ignore "y". *)
blanchet@39452
   621
val parse_dot_name = scan_general_id --| $$ "." --| scan_general_id
blanchet@39452
   622
blanchet@39452
   623
val parse_spass_annotations =
blanchet@54811
   624
  Scan.optional ($$ ":" |-- Scan.repeat (parse_dot_name --| Scan.option ($$ ","))) []
blanchet@39452
   625
blanchet@57786
   626
(* We ignore the stars and the pluses that follow literals. *)
blanchet@39602
   627
fun parse_decorated_atom x =
blanchet@39602
   628
  (parse_atom --| Scan.repeat ($$ "*" || $$ "+" || $$ " ")) x
blanchet@39452
   629
blanchet@48132
   630
fun mk_horn ([], []) = AAtom (ATerm (("c_False", []), []))
blanchet@58091
   631
  | mk_horn (neg_lits, pos_lits) = foldr1 (uncurry (mk_aconn AOr)) (map mk_anot neg_lits @ pos_lits)
blanchet@39452
   632
blanchet@39645
   633
fun parse_horn_clause x =
blanchet@39645
   634
  (Scan.repeat parse_decorated_atom --| $$ "|" --| $$ "|"
blanchet@39645
   635
     -- Scan.repeat parse_decorated_atom --| $$ "-" --| $$ ">"
blanchet@39645
   636
     -- Scan.repeat parse_decorated_atom
blanchet@39645
   637
   >> (mk_horn o apfst (op @))) x
blanchet@39452
   638
blanchet@46390
   639
val parse_spass_debug =
blanchet@54788
   640
  Scan.option ($$ "(" |-- Scan.repeat (scan_general_id --| Scan.option ($$ ",")) --| $$ ")")
blanchet@46390
   641
blanchet@54788
   642
(* Syntax: <num>[0:<inference><annotations>] <atoms> || <atoms> -> <atoms> .
blanchet@46427
   643
           derived from formulae <ident>* *)
blanchet@48005
   644
fun parse_spass_line x =
blanchet@54788
   645
  (parse_spass_debug |-- scan_general_id --| $$ "[" --| Scan.many1 Symbol.is_digit --| $$ ":"
blanchet@54788
   646
     -- Symbol.scan_ascii_id -- parse_spass_annotations --| $$ "]" -- parse_horn_clause --| $$ "."
blanchet@48005
   647
     -- Scan.option (Scan.this_string "derived from formulae "
blanchet@48005
   648
                     |-- Scan.repeat (scan_general_id --| Scan.option ($$ " ")))
blanchet@48005
   649
   >> (fn ((((num, rule), deps), u), names) =>
blanchet@56404
   650
          [((num, these names), Unknown, u, rule, map (rpair []) deps)])) x
blanchet@45162
   651
blanchet@59577
   652
fun parse_pirate_dependency x = (Scan.option ($$ "-") |-- scan_general_id) x
blanchet@59577
   653
fun parse_pirate_dependencies x =
blanchet@59577
   654
  Scan.repeat (parse_pirate_dependency --| Scan.option ($$ "," || $$ " ")) x
blanchet@59577
   655
fun parse_pirate_file_source x =
blanchet@54788
   656
  ((Scan.this_string "Input" || Scan.this_string "Conj") |-- $$ "(" |-- scan_general_id
blanchet@54788
   657
     --| $$ ")") x
blanchet@59577
   658
fun parse_pirate_inference_source x =
blanchet@59577
   659
  (scan_general_id -- ($$ "(" |-- parse_pirate_dependencies --| $$ ")")) x
blanchet@59577
   660
fun parse_pirate_source x =
blanchet@59577
   661
  (parse_pirate_file_source >> (fn s => File_Source ("", SOME s))
blanchet@59577
   662
   || parse_pirate_inference_source >> Inference_Source) x
blanchet@54788
   663
blanchet@54788
   664
(* Syntax: <num> <stuff> || <atoms> -> <atoms> . origin\(<origin>\) *)
blanchet@59577
   665
fun parse_pirate_line x =
blanchet@54788
   666
  (scan_general_id --| Scan.repeat (~$$ "|") -- parse_horn_clause --| $$ "."
blanchet@59577
   667
     --| Scan.this_string "origin" --| $$ "(" -- parse_pirate_source --| $$ ")"
blanchet@54788
   668
   >> (fn ((((num, u), source))) =>
blanchet@54788
   669
     let
blanchet@54788
   670
       val (names, rule, deps) =
blanchet@54788
   671
         (case source of
blanchet@54788
   672
           File_Source (_, SOME s) => ([s], spass_input_rule, [])
blanchet@54788
   673
         | Inference_Source (rule, deps) => ([], rule, deps))
blanchet@54788
   674
     in
blanchet@56404
   675
       [((num, names), Unknown, u, rule, map (rpair []) deps)]
blanchet@54788
   676
     end)) x
blanchet@48539
   677
blanchet@52077
   678
fun core_inference inf fact = ((fact, [fact]), Unknown, dummy_phi, inf, [])
blanchet@52077
   679
blanchet@56404
   680
(* Syntax: SZS core <name> ... <name> *)
blanchet@56404
   681
fun parse_z3_tptp_core_line x =
blanchet@56404
   682
  (Scan.this_string "SZS core" |-- Scan.repeat ($$ " " |-- scan_general_id)
blanchet@56404
   683
   >> map (core_inference z3_tptp_core_rule)) x
blanchet@43481
   684
fleury@57258
   685
fun parse_line local_name problem =
blanchet@67021
   686
  if local_name = leo2N orelse local_name = leo3N then parse_tstp_thf0_line problem
fleury@57258
   687
  else if local_name = spassN then parse_spass_line
blanchet@59577
   688
  else if local_name = pirateN then parse_pirate_line
fleury@57258
   689
  else if local_name = z3_tptpN then parse_z3_tptp_core_line
fleury@57154
   690
  else parse_tstp_line problem
fleury@57154
   691
blanchet@52077
   692
fun core_of_agsyhol_proof s =
blanchet@54788
   693
  (case split_lines s of
blanchet@52077
   694
    "The transformed problem consists of the following conjectures:" :: conj ::
blanchet@54788
   695
    _ :: proof_term :: _ => SOME (unprefix " " conj :: find_enclosed "<<" ">>" proof_term)
blanchet@54788
   696
  | _ => NONE)
blanchet@52077
   697
blanchet@42968
   698
fun clean_up_dependencies _ [] = []
blanchet@51201
   699
  | clean_up_dependencies seen ((name, role, u, rule, deps) :: steps) =
blanchet@54811
   700
    (name, role, u, rule, map_filter (fn dep => find_first (is_same_atp_step dep) seen) deps) ::
blanchet@42968
   701
    clean_up_dependencies (name :: seen) steps
blanchet@42968
   702
blanchet@42975
   703
fun clean_up_atp_proof_dependencies proof = clean_up_dependencies [] proof
blanchet@39452
   704
blanchet@50704
   705
fun map_term_names_in_atp_proof f =
blanchet@50704
   706
  let
blanchet@54820
   707
    fun map_type (AType ((s, clss), tys)) = AType ((f s, map f clss), map map_type tys)
blanchet@54811
   708
      | map_type (AFun (ty, ty')) = AFun (map_type ty, map_type ty')
blanchet@54811
   709
      | map_type (APi (ss, ty)) = APi (map f ss, map_type ty)
blanchet@54811
   710
blanchet@54811
   711
    fun map_term (ATerm ((s, tys), ts)) = ATerm ((f s, map map_type tys), map map_term ts)
blanchet@54811
   712
      | map_term (AAbs (((s, ty), tm), args)) =
blanchet@54811
   713
        AAbs (((f s, map_type ty), map_term tm), map map_term args)
blanchet@54811
   714
blanchet@56397
   715
    fun map_formula (AQuant (q, xs, phi)) = AQuant (q, map (apfst f) xs, map_formula phi)
blanchet@54811
   716
      | map_formula (AConn (c, phis)) = AConn (c, map map_formula phis)
blanchet@54811
   717
      | map_formula (AAtom t) = AAtom (map_term t)
blanchet@54811
   718
blanchet@56397
   719
    fun map_step (name, role, phi, rule, deps) = (name, role, map_formula phi, rule, deps)
blanchet@54811
   720
  in
blanchet@54811
   721
    map map_step
blanchet@54811
   722
  end
blanchet@39454
   723
blanchet@57261
   724
fun nasty_name pool s = Symtab.lookup pool s |> the_default s
blanchet@50704
   725
blanchet@39454
   726
fun nasty_atp_proof pool =
blanchet@50704
   727
  not (Symtab.is_empty pool) ? map_term_names_in_atp_proof (nasty_name pool)
blanchet@39454
   728
blanchet@39452
   729
end;