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(* Title: HOL/Tools/ATP/atp_problem.ML
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Author: Jia Meng, Cambridge University Computer Laboratory and NICTA
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Author: Jasmin Blanchette, TU Muenchen
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Abstract representation of ATP problems and TPTP syntax.
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*)
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signature ATP_PROBLEM =
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sig
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datatype ('a, 'b) ho_term =
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ATerm of ('a * 'b list) * ('a, 'b) ho_term list |
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AAbs of (('a * 'b) * ('a, 'b) ho_term) * ('a, 'b) ho_term list
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datatype quantifier = AForall | AExists
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datatype connective = ANot | AAnd | AOr | AImplies | AIff
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datatype ('a, 'b, 'c) formula =
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ATyQuant of quantifier * 'b list * ('a, 'b, 'c) formula |
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AQuant of quantifier * ('a * 'b option) list * ('a, 'b, 'c) formula |
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AConn of connective * ('a, 'b, 'c) formula list |
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AAtom of 'c
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datatype 'a ho_type =
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AType of 'a * 'a ho_type list |
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AFun of 'a ho_type * 'a ho_type |
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APi of 'a list * 'a ho_type
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type term_order =
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{is_lpo : bool,
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gen_weights : bool,
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gen_prec : bool,
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gen_simp : bool}
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datatype polymorphism = Monomorphic | Polymorphic | Type_Classes
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datatype tptp_explicitness = TPTP_Implicit | TPTP_Explicit
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datatype thf_choice = THF_Without_Choice | THF_With_Choice
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datatype thf_defs = THF_Without_Defs | THF_With_Defs
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datatype atp_format =
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CNF |
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CNF_UEQ |
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FOF |
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TFF of polymorphism * tptp_explicitness |
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THF of polymorphism * tptp_explicitness * thf_choice * thf_defs |
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DFG of polymorphism
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datatype formula_role = Axiom | Definition | Lemma | Hypothesis | Conjecture
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datatype 'a problem_line =
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Decl of string * 'a * 'a ho_type |
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Formula of string * formula_role
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* ('a, 'a ho_type, ('a, 'a ho_type) ho_term) formula
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* (string, string ho_type) ho_term option
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* (string, string ho_type) ho_term list
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type 'a problem = (string * 'a problem_line list) list
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val tptp_cnf : string
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val tptp_fof : string
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val tptp_tff : string
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val tptp_thf : string
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val tptp_has_type : string
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val tptp_type_of_types : string
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val tptp_bool_type : string
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val tptp_individual_type : string
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val tptp_fun_type : string
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val tptp_product_type : string
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val tptp_forall : string
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val tptp_ho_forall : string
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val tptp_pi_binder : string
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val tptp_exists : string
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val tptp_ho_exists : string
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val tptp_choice : string
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val tptp_not : string
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val tptp_and : string
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val tptp_or : string
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val tptp_implies : string
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val tptp_if : string
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val tptp_iff : string
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val tptp_not_iff : string
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val tptp_app : string
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val tptp_not_infix : string
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val tptp_equal : string
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val tptp_old_equal : string
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val tptp_false : string
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val tptp_true : string
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val tptp_empty_list : string
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val isabelle_info_prefix : string
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val isabelle_info : string -> int -> (string, 'a) ho_term list
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val extract_isabelle_status : (string, 'a) ho_term list -> string option
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val extract_isabelle_rank : (string, 'a) ho_term list -> int
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val introN : string
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val inductiveN : string
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val elimN : string
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val simpN : string
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val defN : string
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val rankN : string
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val minimum_rank : int
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val default_rank : int
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val default_term_order_weight : int
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val is_tptp_equal : string -> bool
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val is_built_in_tptp_symbol : string -> bool
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val is_tptp_variable : string -> bool
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val is_tptp_user_symbol : string -> bool
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val atype_of_types : (string * string) ho_type
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val bool_atype : (string * string) ho_type
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val individual_atype : (string * string) ho_type
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val mk_anot : ('a, 'b, 'c) formula -> ('a, 'b, 'c) formula
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val mk_aconn :
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connective -> ('a, 'b, 'c) formula -> ('a, 'b, 'c) formula
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-> ('a, 'b, 'c) formula
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val aconn_fold :
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bool option -> (bool option -> 'a -> 'b -> 'b) -> connective * 'a list
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-> 'b -> 'b
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val aconn_map :
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bool option -> (bool option -> 'a -> ('b, 'c, 'd) formula)
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-> connective * 'a list -> ('b, 'c, 'd) formula
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val formula_fold :
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bool option -> (bool option -> 'c -> 'd -> 'd) -> ('a, 'b, 'c) formula
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-> 'd -> 'd
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val formula_map : ('c -> 'd) -> ('a, 'b, 'c) formula -> ('a, 'b, 'd) formula
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val is_function_type : string ho_type -> bool
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val is_predicate_type : string ho_type -> bool
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val is_format_higher_order : atp_format -> bool
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val lines_for_atp_problem :
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atp_format -> term_order -> (unit -> (string * int) list) -> string problem
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-> string list
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val ensure_cnf_problem :
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(string * string) problem -> (string * string) problem
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val filter_cnf_ueq_problem :
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(string * string) problem -> (string * string) problem
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val declared_syms_in_problem : 'a problem -> 'a list
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val nice_atp_problem :
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bool -> atp_format -> ('a * (string * string) problem_line list) list
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-> ('a * string problem_line list) list
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* (string Symtab.table * string Symtab.table) option
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end;
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structure ATP_Problem : ATP_PROBLEM =
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struct
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open ATP_Util
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(** ATP problem **)
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datatype ('a, 'b) ho_term =
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ATerm of ('a * 'b list) * ('a, 'b) ho_term list |
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AAbs of (('a * 'b) * ('a, 'b) ho_term) * ('a, 'b) ho_term list
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datatype quantifier = AForall | AExists
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datatype connective = ANot | AAnd | AOr | AImplies | AIff
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datatype ('a, 'b, 'c) formula =
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ATyQuant of quantifier * 'b list * ('a, 'b, 'c) formula |
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AQuant of quantifier * ('a * 'b option) list * ('a, 'b, 'c) formula |
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AConn of connective * ('a, 'b, 'c) formula list |
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AAtom of 'c
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datatype 'a ho_type =
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AType of 'a * 'a ho_type list |
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AFun of 'a ho_type * 'a ho_type |
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APi of 'a list * 'a ho_type
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type term_order =
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{is_lpo : bool,
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gen_weights : bool,
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gen_prec : bool,
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gen_simp : bool}
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datatype polymorphism = Monomorphic | Polymorphic | Type_Classes
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datatype tptp_explicitness = TPTP_Implicit | TPTP_Explicit
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datatype thf_choice = THF_Without_Choice | THF_With_Choice
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datatype thf_defs = THF_Without_Defs | THF_With_Defs
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datatype atp_format =
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CNF |
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CNF_UEQ |
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FOF |
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TFF of polymorphism * tptp_explicitness |
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THF of polymorphism * tptp_explicitness * thf_choice * thf_defs |
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DFG of polymorphism
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datatype formula_role = Axiom | Definition | Lemma | Hypothesis | Conjecture
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datatype 'a problem_line =
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Decl of string * 'a * 'a ho_type |
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Formula of string * formula_role
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* ('a, 'a ho_type, ('a, 'a ho_type) ho_term) formula
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* (string, string ho_type) ho_term option
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* (string, string ho_type) ho_term list
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type 'a problem = (string * 'a problem_line list) list
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(* official TPTP syntax *)
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val tptp_cnf = "cnf"
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val tptp_fof = "fof"
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val tptp_tff = "tff"
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val tptp_thf = "thf"
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val tptp_has_type = ":"
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val tptp_type_of_types = "$tType"
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val tptp_bool_type = "$o"
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val tptp_individual_type = "$i"
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val tptp_fun_type = ">"
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val tptp_product_type = "*"
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val tptp_forall = "!"
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val tptp_ho_forall = "!!"
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val tptp_pi_binder = "!>"
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val tptp_exists = "?"
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val tptp_ho_exists = "??"
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val tptp_choice = "@+"
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val tptp_not = "~"
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val tptp_and = "&"
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val tptp_or = "|"
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val tptp_implies = "=>"
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val tptp_if = "<="
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val tptp_iff = "<=>"
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val tptp_not_iff = "<~>"
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val tptp_app = "@"
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val tptp_not_infix = "!"
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val tptp_equal = "="
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val tptp_old_equal = "equal"
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val tptp_false = "$false"
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val tptp_true = "$true"
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val tptp_empty_list = "[]"
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val isabelle_info_prefix = "isabelle_"
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val introN = "intro"
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val inductiveN = "inductive"
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val elimN = "elim"
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val simpN = "simp"
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val defN = "def"
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val rankN = "rank"
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val minimum_rank = 0
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val default_rank = 1000
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val default_term_order_weight = 1
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(* Currently, only SPASS 3.8ds can process Isabelle metainformation. *)
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fun isabelle_info status rank =
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[] |> rank <> default_rank
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? cons (ATerm ((isabelle_info_prefix ^ rankN, []),
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[ATerm ((string_of_int rank, []), [])]))
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|> status <> "" ? cons (ATerm ((isabelle_info_prefix ^ status, []), []))
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fun extract_isabelle_status (ATerm ((s, []), []) :: _) =
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try (unprefix isabelle_info_prefix) s
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| extract_isabelle_status _ = NONE
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fun extract_isabelle_rank (tms as _ :: _) =
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(case List.last tms of
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ATerm ((_, []), [ATerm ((rank, []), [])]) => the (Int.fromString rank)
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| _ => default_rank)
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| extract_isabelle_rank _ = default_rank
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fun is_tptp_equal s = (s = tptp_equal orelse s = tptp_old_equal)
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fun is_built_in_tptp_symbol s =
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s = tptp_old_equal orelse not (Char.isAlpha (String.sub (s, 0)))
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fun is_tptp_variable s = Char.isUpper (String.sub (s, 0))
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val is_tptp_user_symbol = not o (is_tptp_variable orf is_built_in_tptp_symbol)
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val atype_of_types = AType (`I tptp_type_of_types, [])
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val bool_atype = AType (`I tptp_bool_type, [])
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val individual_atype = AType (`I tptp_individual_type, [])
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blanchet@46172
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fun raw_polarities_of_conn ANot = (SOME false, NONE)
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| raw_polarities_of_conn AAnd = (SOME true, SOME true)
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| raw_polarities_of_conn AOr = (SOME true, SOME true)
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blanchet@43939
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| raw_polarities_of_conn AImplies = (SOME false, SOME true)
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blanchet@43939
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| raw_polarities_of_conn AIff = (NONE, NONE)
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fun polarities_of_conn NONE = K (NONE, NONE)
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blanchet@43939
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265 |
| polarities_of_conn (SOME pos) =
|
blanchet@43939
|
266 |
raw_polarities_of_conn #> not pos ? pairself (Option.map not)
|
blanchet@43939
|
267 |
|
blanchet@43783
|
268 |
fun mk_anot (AConn (ANot, [phi])) = phi
|
blanchet@43783
|
269 |
| mk_anot phi = AConn (ANot, [phi])
|
blanchet@43783
|
270 |
fun mk_aconn c phi1 phi2 = AConn (c, [phi1, phi2])
|
blanchet@43783
|
271 |
|
blanchet@43839
|
272 |
fun aconn_fold pos f (ANot, [phi]) = f (Option.map not pos) phi
|
blanchet@43839
|
273 |
| aconn_fold pos f (AImplies, [phi1, phi2]) =
|
blanchet@43839
|
274 |
f (Option.map not pos) phi1 #> f pos phi2
|
blanchet@43839
|
275 |
| aconn_fold pos f (AAnd, phis) = fold (f pos) phis
|
blanchet@43839
|
276 |
| aconn_fold pos f (AOr, phis) = fold (f pos) phis
|
blanchet@43839
|
277 |
| aconn_fold _ f (_, phis) = fold (f NONE) phis
|
blanchet@43839
|
278 |
|
blanchet@43839
|
279 |
fun aconn_map pos f (ANot, [phi]) = AConn (ANot, [f (Option.map not pos) phi])
|
blanchet@43839
|
280 |
| aconn_map pos f (AImplies, [phi1, phi2]) =
|
blanchet@43839
|
281 |
AConn (AImplies, [f (Option.map not pos) phi1, f pos phi2])
|
blanchet@43839
|
282 |
| aconn_map pos f (AAnd, phis) = AConn (AAnd, map (f pos) phis)
|
blanchet@43839
|
283 |
| aconn_map pos f (AOr, phis) = AConn (AOr, map (f pos) phis)
|
blanchet@43839
|
284 |
| aconn_map _ f (c, phis) = AConn (c, map (f NONE) phis)
|
blanchet@43839
|
285 |
|
blanchet@43839
|
286 |
fun formula_fold pos f =
|
blanchet@43839
|
287 |
let
|
blanchet@45356
|
288 |
fun fld pos (AQuant (_, _, phi)) = fld pos phi
|
blanchet@49148
|
289 |
| fld pos (ATyQuant (_, _, phi)) = fld pos phi
|
blanchet@45356
|
290 |
| fld pos (AConn conn) = aconn_fold pos fld conn
|
blanchet@45356
|
291 |
| fld pos (AAtom tm) = f pos tm
|
blanchet@45356
|
292 |
in fld pos end
|
blanchet@43839
|
293 |
|
blanchet@43785
|
294 |
fun formula_map f (AQuant (q, xs, phi)) = AQuant (q, xs, formula_map f phi)
|
blanchet@49148
|
295 |
| formula_map f (ATyQuant (q, xs, phi)) = ATyQuant (q, xs, formula_map f phi)
|
blanchet@43785
|
296 |
| formula_map f (AConn (c, phis)) = AConn (c, map (formula_map f) phis)
|
blanchet@43785
|
297 |
| formula_map f (AAtom tm) = AAtom (f tm)
|
blanchet@43785
|
298 |
|
blanchet@49148
|
299 |
fun is_function_type (APi (_, ty)) = is_function_type ty
|
blanchet@49148
|
300 |
| is_function_type (AFun (_, ty)) = is_function_type ty
|
blanchet@47270
|
301 |
| is_function_type (AType (s, _)) =
|
blanchet@47270
|
302 |
s <> tptp_type_of_types andalso s <> tptp_bool_type
|
blanchet@47270
|
303 |
| is_function_type _ = false
|
blanchet@49148
|
304 |
fun is_predicate_type (APi (_, ty)) = is_predicate_type ty
|
blanchet@49148
|
305 |
| is_predicate_type (AFun (_, ty)) = is_predicate_type ty
|
blanchet@47270
|
306 |
| is_predicate_type (AType (s, _)) = (s = tptp_bool_type)
|
blanchet@47270
|
307 |
| is_predicate_type _ = false
|
blanchet@49148
|
308 |
fun is_nontrivial_predicate_type (AType _) = false
|
blanchet@49148
|
309 |
| is_nontrivial_predicate_type ty = is_predicate_type ty
|
blanchet@47270
|
310 |
|
blanchet@46174
|
311 |
fun is_format_higher_order (THF _) = true
|
blanchet@46174
|
312 |
| is_format_higher_order _ = false
|
blanchet@45354
|
313 |
fun is_format_typed (TFF _) = true
|
blanchet@45618
|
314 |
| is_format_typed (THF _) = true
|
blanchet@49146
|
315 |
| is_format_typed (DFG _) = true
|
blanchet@45106
|
316 |
| is_format_typed _ = false
|
blanchet@43839
|
317 |
|
blanchet@48991
|
318 |
fun tptp_string_for_role Axiom = "axiom"
|
blanchet@48991
|
319 |
| tptp_string_for_role Definition = "definition"
|
blanchet@48991
|
320 |
| tptp_string_for_role Lemma = "lemma"
|
blanchet@48991
|
321 |
| tptp_string_for_role Hypothesis = "hypothesis"
|
blanchet@48991
|
322 |
| tptp_string_for_role Conjecture = "conjecture"
|
blanchet@38854
|
323 |
|
blanchet@49148
|
324 |
fun tptp_string_for_app _ func [] = func
|
blanchet@49148
|
325 |
| tptp_string_for_app format func args =
|
blanchet@49148
|
326 |
if is_format_higher_order format then
|
blanchet@49148
|
327 |
"(" ^ space_implode (" " ^ tptp_app ^ " ") (func :: args) ^ ")"
|
blanchet@49148
|
328 |
else
|
blanchet@49148
|
329 |
func ^ "(" ^ commas args ^ ")"
|
blanchet@45655
|
330 |
|
blanchet@49148
|
331 |
fun flatten_type (APi (tys, ty)) = APi (tys, flatten_type ty)
|
blanchet@45458
|
332 |
| flatten_type (ty as AFun (ty1 as AType _, ty2)) =
|
blanchet@45458
|
333 |
(case flatten_type ty2 of
|
blanchet@45458
|
334 |
AFun (ty' as AType (s, tys), ty) =>
|
blanchet@45458
|
335 |
AFun (AType (tptp_product_type,
|
blanchet@45458
|
336 |
ty1 :: (if s = tptp_product_type then tys else [ty'])), ty)
|
blanchet@45458
|
337 |
| _ => ty)
|
blanchet@45458
|
338 |
| flatten_type (ty as AType _) = ty
|
blanchet@45458
|
339 |
| flatten_type _ =
|
blanchet@43804
|
340 |
raise Fail "unexpected higher-order type in first-order format"
|
blanchet@43804
|
341 |
|
blanchet@47273
|
342 |
val dfg_individual_type = "iii" (* cannot clash *)
|
blanchet@47166
|
343 |
|
blanchet@49148
|
344 |
val suffix_type_of_types =
|
blanchet@49148
|
345 |
suffix (" " ^ tptp_has_type ^ " " ^ tptp_type_of_types)
|
blanchet@49148
|
346 |
|
blanchet@45655
|
347 |
fun str_for_type format ty =
|
blanchet@45457
|
348 |
let
|
blanchet@49146
|
349 |
val dfg = case format of DFG _ => true | _ => false
|
blanchet@46172
|
350 |
fun str _ (AType (s, [])) =
|
blanchet@47166
|
351 |
if dfg andalso s = tptp_individual_type then dfg_individual_type else s
|
blanchet@45458
|
352 |
| str _ (AType (s, tys)) =
|
blanchet@45655
|
353 |
let val ss = tys |> map (str false) in
|
blanchet@45655
|
354 |
if s = tptp_product_type then
|
blanchet@46172
|
355 |
ss |> space_implode
|
blanchet@46172
|
356 |
(if dfg then ", " else " " ^ tptp_product_type ^ " ")
|
blanchet@46172
|
357 |
|> (not dfg andalso length ss > 1) ? enclose "(" ")"
|
blanchet@45655
|
358 |
else
|
blanchet@46172
|
359 |
tptp_string_for_app format s ss
|
blanchet@45655
|
360 |
end
|
blanchet@45457
|
361 |
| str rhs (AFun (ty1, ty2)) =
|
blanchet@46172
|
362 |
(str false ty1 |> dfg ? enclose "(" ")") ^ " " ^
|
blanchet@46172
|
363 |
(if dfg then "" else tptp_fun_type ^ " ") ^ str true ty2
|
blanchet@45457
|
364 |
|> not rhs ? enclose "(" ")"
|
blanchet@49148
|
365 |
| str _ (APi (ss, ty)) =
|
blanchet@49148
|
366 |
if dfg then
|
blanchet@49148
|
367 |
"[" ^ commas ss ^ "], " ^ str true ty
|
blanchet@49148
|
368 |
else
|
blanchet@49148
|
369 |
tptp_pi_binder ^ "[" ^ commas (map suffix_type_of_types ss) ^ "]: " ^
|
blanchet@49148
|
370 |
str false ty
|
blanchet@45457
|
371 |
in str true ty end
|
blanchet@45457
|
372 |
|
blanchet@45655
|
373 |
fun string_for_type (format as THF _) ty = str_for_type format ty
|
blanchet@46172
|
374 |
| string_for_type format ty = str_for_type format (flatten_type ty)
|
blanchet@43804
|
375 |
|
blanchet@46172
|
376 |
fun tptp_string_for_quantifier AForall = tptp_forall
|
blanchet@46172
|
377 |
| tptp_string_for_quantifier AExists = tptp_exists
|
blanchet@43804
|
378 |
|
blanchet@46172
|
379 |
fun tptp_string_for_connective ANot = tptp_not
|
blanchet@46172
|
380 |
| tptp_string_for_connective AAnd = tptp_and
|
blanchet@46172
|
381 |
| tptp_string_for_connective AOr = tptp_or
|
blanchet@46172
|
382 |
| tptp_string_for_connective AImplies = tptp_implies
|
blanchet@46172
|
383 |
| tptp_string_for_connective AIff = tptp_iff
|
blanchet@43804
|
384 |
|
blanchet@43803
|
385 |
fun string_for_bound_var format (s, ty) =
|
blanchet@45457
|
386 |
s ^
|
blanchet@45457
|
387 |
(if is_format_typed format then
|
blanchet@45457
|
388 |
" " ^ tptp_has_type ^ " " ^
|
blanchet@45457
|
389 |
(ty |> the_default (AType (tptp_individual_type, []))
|
blanchet@45457
|
390 |
|> string_for_type format)
|
blanchet@45457
|
391 |
else
|
blanchet@45457
|
392 |
"")
|
blanchet@43804
|
393 |
|
blanchet@49147
|
394 |
fun tptp_string_for_term _ (ATerm ((s, []), [])) = s
|
blanchet@49148
|
395 |
| tptp_string_for_term format (ATerm ((s, tys), ts)) =
|
blanchet@45655
|
396 |
(if s = tptp_empty_list then
|
blanchet@45655
|
397 |
(* used for lists in the optional "source" field of a derivation *)
|
blanchet@46172
|
398 |
"[" ^ commas (map (tptp_string_for_term format) ts) ^ "]"
|
blanchet@45655
|
399 |
else if is_tptp_equal s then
|
blanchet@46172
|
400 |
space_implode (" " ^ tptp_equal ^ " ")
|
blanchet@46172
|
401 |
(map (tptp_string_for_term format) ts)
|
blanchet@46174
|
402 |
|> is_format_higher_order format ? enclose "(" ")"
|
blanchet@49019
|
403 |
else case (s = tptp_ho_forall orelse s = tptp_ho_exists, s = tptp_choice,
|
blanchet@49019
|
404 |
ts) of
|
blanchet@48926
|
405 |
(true, _, [AAbs (((s', ty), tm), [])]) =>
|
blanchet@45655
|
406 |
(* Use syntactic sugar "!" and "?" instead of "!!" and "??" whenever
|
blanchet@45655
|
407 |
possible, to work around LEO-II 1.2.8 parser limitation. *)
|
blanchet@46172
|
408 |
tptp_string_for_formula format
|
blanchet@45655
|
409 |
(AQuant (if s = tptp_ho_forall then AForall else AExists,
|
blanchet@45655
|
410 |
[(s', SOME ty)], AAtom tm))
|
blanchet@48926
|
411 |
| (_, true, [AAbs (((s', ty), tm), args)]) =>
|
blanchet@47148
|
412 |
(* There is code in "ATP_Problem_Generate" to ensure that "Eps" is always
|
blanchet@45655
|
413 |
applied to an abstraction. *)
|
blanchet@48926
|
414 |
tptp_string_for_app format
|
blanchet@48926
|
415 |
(tptp_choice ^ "[" ^ s' ^ " : " ^ string_for_type format ty ^ "]: " ^
|
blanchet@48926
|
416 |
tptp_string_for_term format tm ^ ""
|
blanchet@48926
|
417 |
|> enclose "(" ")")
|
blanchet@48926
|
418 |
(map (tptp_string_for_term format) args)
|
blanchet@49148
|
419 |
| _ =>
|
blanchet@49148
|
420 |
tptp_string_for_app format s
|
blanchet@49148
|
421 |
(map (string_for_type format) tys
|
blanchet@49148
|
422 |
@ map (tptp_string_for_term format) ts))
|
blanchet@48926
|
423 |
| tptp_string_for_term (format as THF _) (AAbs (((s, ty), tm), args)) =
|
blanchet@48926
|
424 |
tptp_string_for_app format
|
blanchet@48926
|
425 |
("(^[" ^ s ^ " : " ^ string_for_type format ty ^ "]: " ^
|
blanchet@48926
|
426 |
tptp_string_for_term format tm ^ ")")
|
blanchet@48926
|
427 |
(map (tptp_string_for_term format) args)
|
blanchet@46172
|
428 |
| tptp_string_for_term _ _ =
|
blanchet@46172
|
429 |
raise Fail "unexpected term in first-order format"
|
blanchet@49148
|
430 |
and tptp_string_for_formula format (ATyQuant (q, xs, phi)) =
|
blanchet@49148
|
431 |
tptp_string_for_quantifier q ^
|
blanchet@49148
|
432 |
"[" ^ commas (map (suffix_type_of_types o string_for_type format) xs) ^
|
blanchet@49148
|
433 |
"]: " ^ tptp_string_for_formula format phi
|
blanchet@49148
|
434 |
|> enclose "(" ")"
|
blanchet@49148
|
435 |
| tptp_string_for_formula format (AQuant (q, xs, phi)) =
|
blanchet@46172
|
436 |
tptp_string_for_quantifier q ^
|
blanchet@45603
|
437 |
"[" ^ commas (map (string_for_bound_var format) xs) ^ "]: " ^
|
blanchet@46172
|
438 |
tptp_string_for_formula format phi
|
blanchet@43815
|
439 |
|> enclose "(" ")"
|
blanchet@46172
|
440 |
| tptp_string_for_formula format
|
blanchet@49147
|
441 |
(AConn (ANot, [AAtom (ATerm (("=" (* tptp_equal *), []), ts))])) =
|
blanchet@43809
|
442 |
space_implode (" " ^ tptp_not_infix ^ tptp_equal ^ " ")
|
blanchet@46172
|
443 |
(map (tptp_string_for_term format) ts)
|
blanchet@46174
|
444 |
|> is_format_higher_order format ? enclose "(" ")"
|
blanchet@46172
|
445 |
| tptp_string_for_formula format (AConn (c, [phi])) =
|
blanchet@46172
|
446 |
tptp_string_for_connective c ^ " " ^
|
blanchet@46172
|
447 |
(tptp_string_for_formula format phi
|
blanchet@46174
|
448 |
|> is_format_higher_order format ? enclose "(" ")")
|
blanchet@43815
|
449 |
|> enclose "(" ")"
|
blanchet@46172
|
450 |
| tptp_string_for_formula format (AConn (c, phis)) =
|
blanchet@46172
|
451 |
space_implode (" " ^ tptp_string_for_connective c ^ " ")
|
blanchet@46172
|
452 |
(map (tptp_string_for_formula format) phis)
|
blanchet@43815
|
453 |
|> enclose "(" ")"
|
blanchet@46172
|
454 |
| tptp_string_for_formula format (AAtom tm) = tptp_string_for_term format tm
|
blanchet@38198
|
455 |
|
blanchet@46172
|
456 |
fun tptp_string_for_format CNF = tptp_cnf
|
blanchet@46172
|
457 |
| tptp_string_for_format CNF_UEQ = tptp_cnf
|
blanchet@46172
|
458 |
| tptp_string_for_format FOF = tptp_fof
|
blanchet@46172
|
459 |
| tptp_string_for_format (TFF _) = tptp_tff
|
blanchet@46172
|
460 |
| tptp_string_for_format (THF _) = tptp_thf
|
blanchet@49146
|
461 |
| tptp_string_for_format (DFG _) = raise Fail "non-TPTP format"
|
blanchet@43803
|
462 |
|
blanchet@46172
|
463 |
fun tptp_string_for_problem_line format (Decl (ident, sym, ty)) =
|
blanchet@46172
|
464 |
tptp_string_for_format format ^ "(" ^ ident ^ ", type,\n " ^ sym ^
|
blanchet@46172
|
465 |
" : " ^ string_for_type format ty ^ ").\n"
|
blanchet@46172
|
466 |
| tptp_string_for_problem_line format
|
blanchet@47909
|
467 |
(Formula (ident, kind, phi, source, _)) =
|
blanchet@46172
|
468 |
tptp_string_for_format format ^ "(" ^ ident ^ ", " ^
|
blanchet@48991
|
469 |
tptp_string_for_role kind ^ ",\n (" ^
|
blanchet@46172
|
470 |
tptp_string_for_formula format phi ^ ")" ^
|
blanchet@47909
|
471 |
(case source of
|
blanchet@47909
|
472 |
SOME tm => ", " ^ tptp_string_for_term format tm
|
blanchet@47909
|
473 |
| NONE => "") ^ ").\n"
|
blanchet@46172
|
474 |
|
blanchet@46172
|
475 |
fun tptp_lines format =
|
blanchet@37643
|
476 |
maps (fn (_, []) => []
|
blanchet@37643
|
477 |
| (heading, lines) =>
|
wenzelm@41739
|
478 |
"\n% " ^ heading ^ " (" ^ string_of_int (length lines) ^ ")\n" ::
|
blanchet@46172
|
479 |
map (tptp_string_for_problem_line format) lines)
|
blanchet@46172
|
480 |
|
blanchet@49148
|
481 |
fun arity_of_type (APi (tys, ty)) =
|
blanchet@49148
|
482 |
arity_of_type ty |>> Integer.add (length tys)
|
blanchet@49148
|
483 |
| arity_of_type (AFun (_, ty)) = arity_of_type ty ||> Integer.add 1
|
blanchet@49148
|
484 |
| arity_of_type _ = (0, 0)
|
blanchet@46172
|
485 |
|
blanchet@49148
|
486 |
fun string_of_arity (0, n) = string_of_int n
|
blanchet@49148
|
487 |
| string_of_arity (m, n) = string_of_int m ^ "+" ^ string_of_int n
|
blanchet@49148
|
488 |
|
blanchet@49148
|
489 |
fun strip_atype (APi (tys, ty)) = strip_atype ty |>> apfst (append tys)
|
blanchet@49148
|
490 |
| strip_atype (AFun (ty1, ty2)) = strip_atype ty2 |>> apsnd (cons ty1)
|
blanchet@49148
|
491 |
| strip_atype ty = (([], []), ty)
|
blanchet@46172
|
492 |
|
blanchet@49146
|
493 |
fun dfg_string_for_formula poly gen_simp info =
|
blanchet@46172
|
494 |
let
|
blanchet@49148
|
495 |
val str_for_typ = string_for_type (DFG poly)
|
blanchet@47207
|
496 |
fun suffix_tag top_level s =
|
blanchet@49144
|
497 |
if top_level then
|
blanchet@47234
|
498 |
case extract_isabelle_status info of
|
blanchet@48019
|
499 |
SOME s' => if s' = defN then s ^ ":lt"
|
blanchet@47909
|
500 |
else if s' = simpN andalso gen_simp then s ^ ":lr"
|
blanchet@47207
|
501 |
else s
|
blanchet@47207
|
502 |
| NONE => s
|
blanchet@47207
|
503 |
else
|
blanchet@47207
|
504 |
s
|
blanchet@49147
|
505 |
fun str_for_term top_level (ATerm ((s, tys), tms)) =
|
blanchet@47207
|
506 |
(if is_tptp_equal s then "equal" |> suffix_tag top_level
|
blanchet@46172
|
507 |
else if s = tptp_true then "true"
|
blanchet@46172
|
508 |
else if s = tptp_false then "false"
|
blanchet@46172
|
509 |
else s) ^
|
blanchet@49148
|
510 |
(if null tys then ""
|
blanchet@49148
|
511 |
else "<" ^ commas (map (string_for_type (DFG poly)) tys) ^ ">") ^
|
blanchet@46172
|
512 |
(if null tms then ""
|
blanchet@46172
|
513 |
else "(" ^ commas (map (str_for_term false) tms) ^ ")")
|
blanchet@46172
|
514 |
| str_for_term _ _ = raise Fail "unexpected term in first-order format"
|
blanchet@46172
|
515 |
fun str_for_quant AForall = "forall"
|
blanchet@46172
|
516 |
| str_for_quant AExists = "exists"
|
blanchet@46172
|
517 |
fun str_for_conn _ ANot = "not"
|
blanchet@46172
|
518 |
| str_for_conn _ AAnd = "and"
|
blanchet@46172
|
519 |
| str_for_conn _ AOr = "or"
|
blanchet@46172
|
520 |
| str_for_conn _ AImplies = "implies"
|
blanchet@47207
|
521 |
| str_for_conn top_level AIff = "equiv" |> suffix_tag top_level
|
blanchet@49148
|
522 |
fun str_for_formula top_level (ATyQuant (q, xs, phi)) =
|
blanchet@49148
|
523 |
str_for_quant q ^ "_sorts([" ^ commas (map str_for_typ xs) ^
|
blanchet@49148
|
524 |
"], " ^ str_for_formula top_level phi ^ ")"
|
blanchet@49148
|
525 |
| str_for_formula top_level (AQuant (q, xs, phi)) =
|
blanchet@49148
|
526 |
str_for_quant q ^ "([" ^
|
blanchet@49146
|
527 |
commas (map (string_for_bound_var (DFG poly)) xs) ^ "], " ^
|
blanchet@47207
|
528 |
str_for_formula top_level phi ^ ")"
|
blanchet@47207
|
529 |
| str_for_formula top_level (AConn (c, phis)) =
|
blanchet@47207
|
530 |
str_for_conn top_level c ^ "(" ^
|
blanchet@46172
|
531 |
commas (map (str_for_formula false) phis) ^ ")"
|
blanchet@47207
|
532 |
| str_for_formula top_level (AAtom tm) = str_for_term top_level tm
|
blanchet@47207
|
533 |
in str_for_formula true end
|
blanchet@46172
|
534 |
|
blanchet@47909
|
535 |
fun maybe_enclose bef aft "" = "% " ^ bef ^ aft
|
blanchet@47909
|
536 |
| maybe_enclose bef aft s = bef ^ s ^ aft
|
blanchet@47909
|
537 |
|
blanchet@49146
|
538 |
fun dfg_lines poly {is_lpo, gen_weights, gen_prec, gen_simp} ord_info problem =
|
blanchet@46172
|
539 |
let
|
blanchet@49148
|
540 |
val str_for_typ = string_for_type (DFG poly)
|
blanchet@49148
|
541 |
fun spair (s, s') = "(" ^ s ^ ", " ^ s' ^ ")"
|
blanchet@49148
|
542 |
fun tm_ary sym ty = spair (sym, string_of_arity (arity_of_type ty))
|
blanchet@49148
|
543 |
fun ty_ary [] sym = sym
|
blanchet@49148
|
544 |
| ty_ary tys sym = "(" ^ sym ^ ", " ^ string_of_int (length tys) ^ ")"
|
blanchet@49148
|
545 |
fun fun_typ sym ty = "function(" ^ sym ^ ", " ^ str_for_typ ty ^ ")."
|
blanchet@46172
|
546 |
fun pred_typ sym ty =
|
blanchet@49148
|
547 |
let
|
blanchet@49148
|
548 |
val ((ty_vars, tys), _) = strip_atype ty
|
blanchet@49148
|
549 |
val (ty_vars, tys) =
|
blanchet@49148
|
550 |
strip_atype ty |> fst
|
blanchet@49148
|
551 |
|>> (fn [] => [] | ty_vars => ["[" ^ commas ty_vars ^ "]"])
|
blanchet@49148
|
552 |
in "predicate(" ^ commas (sym :: ty_vars @ map str_for_typ tys) ^ ")." end
|
blanchet@46172
|
553 |
fun formula pred (Formula (ident, kind, phi, _, info)) =
|
blanchet@46172
|
554 |
if pred kind then
|
blanchet@49144
|
555 |
let val rank = extract_isabelle_rank info in
|
blanchet@49146
|
556 |
"formula(" ^ dfg_string_for_formula poly gen_simp info phi ^
|
blanchet@47909
|
557 |
", " ^ ident ^
|
blanchet@47234
|
558 |
(if rank = default_rank then "" else ", " ^ string_of_int rank) ^
|
blanchet@47234
|
559 |
")." |> SOME
|
blanchet@47234
|
560 |
end
|
blanchet@46172
|
561 |
else
|
blanchet@46172
|
562 |
NONE
|
blanchet@46172
|
563 |
| formula _ _ = NONE
|
blanchet@47241
|
564 |
fun filt f = problem |> map (map_filter f o snd) |> filter_out null
|
blanchet@46172
|
565 |
val func_aries =
|
blanchet@46172
|
566 |
filt (fn Decl (_, sym, ty) =>
|
blanchet@49148
|
567 |
if is_function_type ty then SOME (tm_ary sym ty) else NONE
|
blanchet@46172
|
568 |
| _ => NONE)
|
blanchet@47909
|
569 |
|> flat |> commas |> maybe_enclose "functions [" "]."
|
blanchet@46172
|
570 |
val pred_aries =
|
blanchet@46172
|
571 |
filt (fn Decl (_, sym, ty) =>
|
blanchet@49148
|
572 |
if is_predicate_type ty then SOME (tm_ary sym ty) else NONE
|
blanchet@46172
|
573 |
| _ => NONE)
|
blanchet@47909
|
574 |
|> flat |> commas |> maybe_enclose "predicates [" "]."
|
blanchet@49144
|
575 |
val sorts =
|
blanchet@49148
|
576 |
filt (fn Decl (_, sym, ty) =>
|
blanchet@49148
|
577 |
(case strip_atype ty of
|
blanchet@49148
|
578 |
(([], tys), AType (s, [])) =>
|
blanchet@49148
|
579 |
if s = tptp_type_of_types then SOME (ty_ary tys sym) else NONE
|
blanchet@49148
|
580 |
| _ => NONE)
|
blanchet@47241
|
581 |
| _ => NONE) @ [[dfg_individual_type]]
|
blanchet@47909
|
582 |
|> flat |> commas |> maybe_enclose "sorts [" "]."
|
blanchet@49144
|
583 |
val ord_info = if gen_weights orelse gen_prec then ord_info () else []
|
blanchet@49144
|
584 |
val do_term_order_weights =
|
blanchet@47909
|
585 |
(if gen_weights then ord_info else [])
|
blanchet@49148
|
586 |
|> map (spair o apsnd string_of_int) |> commas
|
blanchet@49148
|
587 |
|> maybe_enclose "weights [" "]."
|
blanchet@49144
|
588 |
val syms = [func_aries, pred_aries, do_term_order_weights, sorts]
|
blanchet@49144
|
589 |
val func_sigs =
|
blanchet@46172
|
590 |
filt (fn Decl (_, sym, ty) =>
|
blanchet@46172
|
591 |
if is_function_type ty then SOME (fun_typ sym ty) else NONE
|
blanchet@46172
|
592 |
| _ => NONE)
|
blanchet@47241
|
593 |
|> flat
|
blanchet@49144
|
594 |
val pred_sigs =
|
blanchet@46172
|
595 |
filt (fn Decl (_, sym, ty) =>
|
blanchet@47219
|
596 |
if is_nontrivial_predicate_type ty then SOME (pred_typ sym ty)
|
blanchet@47219
|
597 |
else NONE
|
blanchet@46172
|
598 |
| _ => NONE)
|
blanchet@47241
|
599 |
|> flat
|
blanchet@49144
|
600 |
val decls = func_sigs @ pred_sigs
|
blanchet@47241
|
601 |
val axioms =
|
blanchet@47241
|
602 |
filt (formula (curry (op <>) Conjecture)) |> separate [""] |> flat
|
blanchet@47241
|
603 |
val conjs =
|
blanchet@47241
|
604 |
filt (formula (curry (op =) Conjecture)) |> separate [""] |> flat
|
blanchet@47909
|
605 |
val settings =
|
blanchet@47924
|
606 |
(if is_lpo then ["set_flag(Ordering, 1)."] else []) @
|
blanchet@47909
|
607 |
(if gen_prec then
|
blanchet@47909
|
608 |
[ord_info |> map fst |> rev |> commas
|
blanchet@47909
|
609 |
|> maybe_enclose "set_precedence(" ")."]
|
blanchet@47909
|
610 |
else
|
blanchet@47909
|
611 |
[])
|
blanchet@47923
|
612 |
fun list_of _ [] = []
|
blanchet@47923
|
613 |
| list_of heading ss =
|
blanchet@47923
|
614 |
"list_of_" ^ heading ^ ".\n" :: map (suffix "\n") ss @
|
blanchet@47923
|
615 |
["end_of_list.\n\n"]
|
blanchet@46172
|
616 |
in
|
blanchet@46172
|
617 |
"\nbegin_problem(isabelle).\n\n" ::
|
blanchet@47923
|
618 |
list_of "descriptions"
|
blanchet@46172
|
619 |
["name({**}).", "author({**}).", "status(unknown).",
|
blanchet@46172
|
620 |
"description({**})."] @
|
blanchet@47923
|
621 |
list_of "symbols" syms @
|
blanchet@47923
|
622 |
list_of "declarations" decls @
|
blanchet@47923
|
623 |
list_of "formulae(axioms)" axioms @
|
blanchet@47923
|
624 |
list_of "formulae(conjectures)" conjs @
|
blanchet@47923
|
625 |
list_of "settings(SPASS)" settings @
|
blanchet@46172
|
626 |
["end_problem.\n"]
|
blanchet@46172
|
627 |
end
|
blanchet@46172
|
628 |
|
blanchet@47909
|
629 |
fun lines_for_atp_problem format ord ord_info problem =
|
blanchet@46172
|
630 |
"% This file was generated by Isabelle (most likely Sledgehammer)\n\
|
blanchet@46172
|
631 |
\% " ^ timestamp () ^ "\n" ::
|
blanchet@49146
|
632 |
(case format of
|
blanchet@49146
|
633 |
DFG poly => dfg_lines poly ord ord_info
|
blanchet@49146
|
634 |
| _ => tptp_lines format) problem
|
blanchet@37643
|
635 |
|
blanchet@43780
|
636 |
|
blanchet@43939
|
637 |
(** CNF (Metis) and CNF UEQ (Waldmeister) **)
|
blanchet@43780
|
638 |
|
blanchet@43780
|
639 |
fun is_problem_line_negated (Formula (_, _, AConn (ANot, _), _, _)) = true
|
blanchet@43780
|
640 |
| is_problem_line_negated _ = false
|
blanchet@43780
|
641 |
|
blanchet@49147
|
642 |
fun is_problem_line_cnf_ueq
|
blanchet@49147
|
643 |
(Formula (_, _, AAtom (ATerm (((s, _), _), _)), _, _)) =
|
blanchet@44034
|
644 |
is_tptp_equal s
|
blanchet@43780
|
645 |
| is_problem_line_cnf_ueq _ = false
|
blanchet@43780
|
646 |
|
blanchet@49147
|
647 |
fun open_conjecture_term (ATerm (((s, s'), tys), tms)) =
|
blanchet@49147
|
648 |
ATerm ((if is_tptp_variable s then (s |> Name.desymbolize false, s')
|
blanchet@49147
|
649 |
else (s, s'), tys), tms |> map open_conjecture_term)
|
nik@44535
|
650 |
| open_conjecture_term _ = raise Fail "unexpected higher-order term"
|
blanchet@43939
|
651 |
fun open_formula conj =
|
blanchet@43939
|
652 |
let
|
blanchet@44034
|
653 |
(* We are conveniently assuming that all bound variable names are
|
blanchet@44034
|
654 |
distinct, which should be the case for the formulas we generate. *)
|
blanchet@44034
|
655 |
fun opn (pos as SOME true) (AQuant (AForall, _, phi)) = opn pos phi
|
blanchet@44034
|
656 |
| opn (pos as SOME false) (AQuant (AExists, _, phi)) = opn pos phi
|
blanchet@43939
|
657 |
| opn pos (AConn (ANot, [phi])) = mk_anot (opn (Option.map not pos) phi)
|
blanchet@43939
|
658 |
| opn pos (AConn (c, [phi1, phi2])) =
|
blanchet@43939
|
659 |
let val (pos1, pos2) = polarities_of_conn pos c in
|
blanchet@43939
|
660 |
AConn (c, [opn pos1 phi1, opn pos2 phi2])
|
blanchet@43939
|
661 |
end
|
blanchet@43939
|
662 |
| opn _ (AAtom t) = AAtom (t |> conj ? open_conjecture_term)
|
blanchet@44283
|
663 |
| opn _ phi = phi
|
blanchet@43939
|
664 |
in opn (SOME (not conj)) end
|
blanchet@43785
|
665 |
fun open_formula_line (Formula (ident, kind, phi, source, info)) =
|
blanchet@43785
|
666 |
Formula (ident, kind, open_formula (kind = Conjecture) phi, source, info)
|
blanchet@43785
|
667 |
| open_formula_line line = line
|
blanchet@43780
|
668 |
|
blanchet@43780
|
669 |
fun negate_conjecture_line (Formula (ident, Conjecture, phi, source, info)) =
|
blanchet@43783
|
670 |
Formula (ident, Hypothesis, mk_anot phi, source, info)
|
blanchet@43780
|
671 |
| negate_conjecture_line line = line
|
blanchet@43780
|
672 |
|
blanchet@43939
|
673 |
exception CLAUSIFY of unit
|
blanchet@43939
|
674 |
|
blanchet@43967
|
675 |
(* This "clausification" only expands syntactic sugar, such as "phi => psi" to
|
blanchet@43967
|
676 |
"~ phi | psi" and "phi <=> psi" to "~ phi | psi" and "~ psi | phi". We don't
|
blanchet@43967
|
677 |
attempt to distribute conjunctions over disjunctions. *)
|
blanchet@44034
|
678 |
fun clausify_formula pos (phi as AAtom _) = [phi |> not pos ? mk_anot]
|
blanchet@44034
|
679 |
| clausify_formula pos (AConn (ANot, [phi])) = clausify_formula (not pos) phi
|
blanchet@44034
|
680 |
| clausify_formula true (AConn (AOr, [phi1, phi2])) =
|
blanchet@44034
|
681 |
(phi1, phi2) |> pairself (clausify_formula true)
|
blanchet@44034
|
682 |
|> uncurry (map_product (mk_aconn AOr))
|
blanchet@44034
|
683 |
| clausify_formula false (AConn (AAnd, [phi1, phi2])) =
|
blanchet@44034
|
684 |
(phi1, phi2) |> pairself (clausify_formula false)
|
blanchet@44034
|
685 |
|> uncurry (map_product (mk_aconn AOr))
|
blanchet@44034
|
686 |
| clausify_formula true (AConn (AImplies, [phi1, phi2])) =
|
blanchet@44034
|
687 |
clausify_formula true (AConn (AOr, [mk_anot phi1, phi2]))
|
blanchet@44034
|
688 |
| clausify_formula true (AConn (AIff, phis)) =
|
blanchet@44034
|
689 |
clausify_formula true (AConn (AImplies, phis)) @
|
blanchet@44034
|
690 |
clausify_formula true (AConn (AImplies, rev phis))
|
blanchet@44034
|
691 |
| clausify_formula _ _ = raise CLAUSIFY ()
|
blanchet@43939
|
692 |
|
blanchet@43939
|
693 |
fun clausify_formula_line (Formula (ident, kind, phi, source, info)) =
|
blanchet@43967
|
694 |
let
|
blanchet@43967
|
695 |
val (n, phis) = phi |> try (clausify_formula true) |> these |> `length
|
blanchet@43967
|
696 |
in
|
blanchet@43967
|
697 |
map2 (fn phi => fn j =>
|
blanchet@44153
|
698 |
Formula (ident ^ replicate_string (j - 1) "x", kind, phi, source,
|
blanchet@44153
|
699 |
info))
|
blanchet@43967
|
700 |
phis (1 upto n)
|
blanchet@43967
|
701 |
end
|
blanchet@43967
|
702 |
| clausify_formula_line _ = []
|
blanchet@43939
|
703 |
|
blanchet@43939
|
704 |
fun ensure_cnf_problem_line line =
|
blanchet@43939
|
705 |
line |> open_formula_line |> negate_conjecture_line |> clausify_formula_line
|
blanchet@43939
|
706 |
|
blanchet@43939
|
707 |
fun ensure_cnf_problem problem =
|
blanchet@43967
|
708 |
problem |> map (apsnd (maps ensure_cnf_problem_line))
|
blanchet@43933
|
709 |
|
blanchet@43803
|
710 |
fun filter_cnf_ueq_problem problem =
|
blanchet@43803
|
711 |
problem
|
blanchet@43803
|
712 |
|> map (apsnd (map open_formula_line
|
blanchet@43803
|
713 |
#> filter is_problem_line_cnf_ueq
|
blanchet@43803
|
714 |
#> map negate_conjecture_line))
|
blanchet@43803
|
715 |
|> (fn problem =>
|
blanchet@43780
|
716 |
let
|
blanchet@44688
|
717 |
val lines = problem |> maps snd
|
blanchet@44688
|
718 |
val conjs = lines |> filter is_problem_line_negated
|
blanchet@44688
|
719 |
in if length conjs = 1 andalso conjs <> lines then problem else [] end)
|
blanchet@38251
|
720 |
|
blanchet@37643
|
721 |
|
blanchet@43839
|
722 |
(** Symbol declarations **)
|
blanchet@43839
|
723 |
|
blanchet@48021
|
724 |
fun add_declared_syms_in_problem_line (Decl (_, sym, _)) = cons sym
|
blanchet@43839
|
725 |
| add_declared_syms_in_problem_line _ = I
|
blanchet@43839
|
726 |
fun declared_syms_in_problem problem =
|
blanchet@43839
|
727 |
fold (fold add_declared_syms_in_problem_line o snd) problem []
|
blanchet@43839
|
728 |
|
blanchet@37643
|
729 |
(** Nice names **)
|
blanchet@37643
|
730 |
|
blanchet@37624
|
731 |
fun pool_fold f xs z = pair z #> fold_rev (fn x => uncurry (f x)) xs
|
blanchet@37624
|
732 |
fun pool_map f xs =
|
blanchet@37624
|
733 |
pool_fold (fn x => fn ys => fn pool => f x pool |>> (fn y => y :: ys)) xs []
|
blanchet@37624
|
734 |
|
blanchet@43088
|
735 |
val no_qualifiers =
|
blanchet@43088
|
736 |
let
|
blanchet@43088
|
737 |
fun skip [] = []
|
blanchet@43088
|
738 |
| skip (#"." :: cs) = skip cs
|
blanchet@43088
|
739 |
| skip (c :: cs) = if Char.isAlphaNum c then skip cs else c :: keep cs
|
blanchet@43088
|
740 |
and keep [] = []
|
blanchet@43088
|
741 |
| keep (#"." :: cs) = skip cs
|
blanchet@43088
|
742 |
| keep (c :: cs) = c :: keep cs
|
blanchet@43088
|
743 |
in String.explode #> rev #> keep #> rev #> String.implode end
|
blanchet@43088
|
744 |
|
blanchet@43626
|
745 |
(* Long names can slow down the ATPs. *)
|
blanchet@43589
|
746 |
val max_readable_name_size = 20
|
blanchet@43438
|
747 |
|
blanchet@43841
|
748 |
(* "equal" is reserved by some ATPs. "op" is also reserved, to avoid the
|
blanchet@43841
|
749 |
unreadable "op_1", "op_2", etc., in the problem files. "eq" is reserved to
|
blanchet@43841
|
750 |
ensure that "HOL.eq" is correctly mapped to equality (not clear whether this
|
blanchet@43841
|
751 |
is still necessary). *)
|
blanchet@46810
|
752 |
val reserved_nice_names = [tptp_old_equal, "op", "eq"]
|
blanchet@43780
|
753 |
|
blanchet@47242
|
754 |
(* hack to get the same hashing across Mirabelle runs (see "mirabelle.pl") *)
|
blanchet@47242
|
755 |
fun cleanup_mirabelle_name s =
|
blanchet@47242
|
756 |
let
|
blanchet@47242
|
757 |
val mirabelle_infix = "_Mirabelle_"
|
blanchet@47242
|
758 |
val random_suffix_len = 10
|
blanchet@47242
|
759 |
val (s1, s2) = Substring.position mirabelle_infix (Substring.full s)
|
blanchet@47242
|
760 |
in
|
blanchet@47242
|
761 |
if Substring.isEmpty s2 then
|
blanchet@47242
|
762 |
s
|
blanchet@47242
|
763 |
else
|
blanchet@47242
|
764 |
Substring.string s1 ^
|
blanchet@47242
|
765 |
Substring.string (Substring.triml (size mirabelle_infix + random_suffix_len) s2)
|
blanchet@47242
|
766 |
end
|
blanchet@47242
|
767 |
|
blanchet@47206
|
768 |
fun readable_name protect full_name s =
|
blanchet@46810
|
769 |
(if s = full_name then
|
blanchet@46810
|
770 |
s
|
blanchet@46810
|
771 |
else
|
blanchet@46810
|
772 |
s |> no_qualifiers
|
blanchet@46810
|
773 |
|> perhaps (try (unprefix "'"))
|
blanchet@46810
|
774 |
|> Name.desymbolize (Char.isUpper (String.sub (full_name, 0)))
|
blanchet@46810
|
775 |
|> (fn s =>
|
blanchet@46810
|
776 |
if size s > max_readable_name_size then
|
blanchet@46810
|
777 |
String.substring (s, 0, max_readable_name_size div 2 - 4) ^
|
blanchet@47242
|
778 |
string_of_int (hash_string (cleanup_mirabelle_name full_name)) ^
|
blanchet@46810
|
779 |
String.extract (s, size s - max_readable_name_size div 2 + 4,
|
blanchet@46810
|
780 |
NONE)
|
blanchet@46810
|
781 |
else
|
blanchet@46810
|
782 |
s)
|
blanchet@46810
|
783 |
|> (fn s =>
|
blanchet@46810
|
784 |
if member (op =) reserved_nice_names s then full_name else s))
|
blanchet@47206
|
785 |
|> protect
|
blanchet@37624
|
786 |
|
blanchet@46810
|
787 |
fun nice_name _ (full_name, _) NONE = (full_name, NONE)
|
blanchet@47206
|
788 |
| nice_name protect (full_name, desired_name) (SOME the_pool) =
|
blanchet@43839
|
789 |
if is_built_in_tptp_symbol full_name then
|
blanchet@39630
|
790 |
(full_name, SOME the_pool)
|
blanchet@39630
|
791 |
else case Symtab.lookup (fst the_pool) full_name of
|
blanchet@37624
|
792 |
SOME nice_name => (nice_name, SOME the_pool)
|
blanchet@37624
|
793 |
| NONE =>
|
blanchet@37624
|
794 |
let
|
blanchet@47206
|
795 |
val nice_prefix = readable_name protect full_name desired_name
|
blanchet@37624
|
796 |
fun add j =
|
blanchet@37624
|
797 |
let
|
blanchet@43515
|
798 |
val nice_name =
|
blanchet@47909
|
799 |
nice_prefix ^ (if j = 1 then "" else string_of_int j)
|
blanchet@37624
|
800 |
in
|
blanchet@37624
|
801 |
case Symtab.lookup (snd the_pool) nice_name of
|
blanchet@37624
|
802 |
SOME full_name' =>
|
blanchet@37624
|
803 |
if full_name = full_name' then (nice_name, the_pool)
|
blanchet@37624
|
804 |
else add (j + 1)
|
blanchet@37624
|
805 |
| NONE =>
|
blanchet@37624
|
806 |
(nice_name,
|
blanchet@37624
|
807 |
(Symtab.update_new (full_name, nice_name) (fst the_pool),
|
blanchet@37624
|
808 |
Symtab.update_new (nice_name, full_name) (snd the_pool)))
|
blanchet@37624
|
809 |
end
|
blanchet@47909
|
810 |
in add 1 |> apsnd SOME end
|
blanchet@37624
|
811 |
|
blanchet@47514
|
812 |
fun avoid_clash_with_alt_ergo_type_vars s =
|
blanchet@47514
|
813 |
if is_tptp_variable s then s else s ^ "_"
|
blanchet@47514
|
814 |
|
blanchet@47206
|
815 |
fun avoid_clash_with_dfg_keywords s =
|
blanchet@47206
|
816 |
let val n = String.size s in
|
blanchet@47271
|
817 |
if n < 2 orelse (n = 2 andalso String.sub (s, 0) = String.sub (s, 1)) orelse
|
blanchet@47271
|
818 |
String.isSubstring "_" s then
|
blanchet@47206
|
819 |
s
|
blanchet@48021
|
820 |
else if is_tptp_variable s then
|
blanchet@48017
|
821 |
(* "DL" appears to be a SPASS 3.7 keyword *)
|
blanchet@48021
|
822 |
if s = "DL" then s ^ "_" else s
|
blanchet@47206
|
823 |
else
|
blanchet@47206
|
824 |
String.substring (s, 0, n - 1) ^
|
blanchet@47206
|
825 |
String.str (Char.toUpper (String.sub (s, n - 1)))
|
blanchet@47206
|
826 |
end
|
blanchet@47206
|
827 |
|
blanchet@46810
|
828 |
fun nice_atp_problem readable_names format problem =
|
blanchet@46810
|
829 |
let
|
blanchet@46810
|
830 |
val empty_pool =
|
blanchet@46810
|
831 |
if readable_names then SOME (Symtab.empty, Symtab.empty) else NONE
|
blanchet@47514
|
832 |
val avoid_clash =
|
blanchet@47514
|
833 |
case format of
|
blanchet@49145
|
834 |
TFF (Polymorphic, _) => avoid_clash_with_alt_ergo_type_vars
|
blanchet@49146
|
835 |
| DFG _ => avoid_clash_with_dfg_keywords
|
blanchet@47514
|
836 |
| _ => I
|
blanchet@47514
|
837 |
val nice_name = nice_name avoid_clash
|
blanchet@46810
|
838 |
fun nice_type (AType (name, tys)) =
|
blanchet@46810
|
839 |
nice_name name ##>> pool_map nice_type tys #>> AType
|
blanchet@46810
|
840 |
| nice_type (AFun (ty1, ty2)) = nice_type ty1 ##>> nice_type ty2 #>> AFun
|
blanchet@49148
|
841 |
| nice_type (APi (names, ty)) =
|
blanchet@49148
|
842 |
pool_map nice_name names ##>> nice_type ty #>> APi
|
blanchet@49147
|
843 |
fun nice_term (ATerm ((name, tys), ts)) =
|
blanchet@49147
|
844 |
nice_name name ##>> pool_map nice_type tys ##>> pool_map nice_term ts
|
blanchet@49147
|
845 |
#>> ATerm
|
blanchet@48926
|
846 |
| nice_term (AAbs (((name, ty), tm), args)) =
|
blanchet@48926
|
847 |
nice_name name ##>> nice_type ty ##>> nice_term tm
|
blanchet@48926
|
848 |
##>> pool_map nice_term args #>> AAbs
|
blanchet@49148
|
849 |
fun nice_formula (ATyQuant (q, xs, phi)) =
|
blanchet@49148
|
850 |
pool_map nice_type xs ##>> nice_formula phi
|
blanchet@49148
|
851 |
#>> (fn (xs, phi) => ATyQuant (q, xs, phi))
|
blanchet@49148
|
852 |
| nice_formula (AQuant (q, xs, phi)) =
|
blanchet@46810
|
853 |
pool_map nice_name (map fst xs)
|
blanchet@46810
|
854 |
##>> pool_map (fn NONE => pair NONE
|
blanchet@46810
|
855 |
| SOME ty => nice_type ty #>> SOME) (map snd xs)
|
blanchet@46810
|
856 |
##>> nice_formula phi
|
blanchet@46810
|
857 |
#>> (fn ((ss, ts), phi) => AQuant (q, ss ~~ ts, phi))
|
blanchet@46810
|
858 |
| nice_formula (AConn (c, phis)) =
|
blanchet@46810
|
859 |
pool_map nice_formula phis #>> curry AConn c
|
blanchet@46810
|
860 |
| nice_formula (AAtom tm) = nice_term tm #>> AAtom
|
blanchet@46810
|
861 |
fun nice_problem_line (Decl (ident, sym, ty)) =
|
blanchet@46810
|
862 |
nice_name sym ##>> nice_type ty #>> (fn (sym, ty) => Decl (ident, sym, ty))
|
blanchet@46810
|
863 |
| nice_problem_line (Formula (ident, kind, phi, source, info)) =
|
blanchet@46810
|
864 |
nice_formula phi #>> (fn phi => Formula (ident, kind, phi, source, info))
|
blanchet@46810
|
865 |
fun nice_problem problem =
|
blanchet@46810
|
866 |
pool_map (fn (heading, lines) =>
|
blanchet@46810
|
867 |
pool_map nice_problem_line lines #>> pair heading) problem
|
blanchet@46810
|
868 |
in nice_problem problem empty_pool end
|
blanchet@37509
|
869 |
|
blanchet@37509
|
870 |
end;
|