Module type `Clause_intf.S`

module Ctx : Ctx.S

type t
type clause = t

Flags

type flag = SClause.flag

val set_flag : flag -> t -> bool -> unit: set boolean flag

val get_flag : flag -> t -> bool: get value of boolean flag

val mark_redundant : t -> unit
val is_redundant : t -> bool
val mark_backward_simplified : t -> unit
val is_backward_simplified : t -> bool
val is_orphaned : t -> bool

Basics

include Logtk.Interfaces.EQ with type t := t

type t

val equal : t -> t -> bool

include Logtk.Interfaces.HASH with type t := t

include Logtk.Interfaces.EQ

type t

val equal : t -> t -> bool

val hash : t -> int

val compare : t -> t -> int
val id : t -> int
val lits : t -> Logtk.Literal.t array
val is_ground : t -> bool
val weight : t -> int
val ho_weight : t -> int

module Tbl : CCHashtbl.S with type Tbl.key = t

val is_goal : t -> bool: Looking at the clause's proof, return true iff the clause is an initial (negated) goal from the problem

val distance_to_goal : t -> int option: See Proof.distance_to_goal, applied to the clause's proof

val comes_from_goal : t -> bool: true iff the clause is (indirectly) deduced from a goal or lemma

Boolean Abstraction

val pp_trail : Trail.t CCFormat.printer: Printer for boolean trails, that uses Ctx to display boxes

val has_trail : t -> bool: Has a non-empty trail?

val trail : t -> Trail.t: Get the clause's trail

val trail_l : t list -> Trail.t: Merge the trails of several clauses

val update_trail : (Trail.t -> Trail.t) -> t -> t: Change the trail. The resulting clause has same parents, proof and literals as the input one

val trail_subsumes : t -> t -> bool: trail_subsumes c1 c2 = Trail.subsumes (get_trail c1) (get_trail c2)

val is_active : t -> v:Trail.valuation -> bool: True if the clause's trail is active in this valuation

val is_inj_axiom : t -> (Logtk.ID.t * int) option: Returns Some (sym,i) if clause is injectivity axiom for ith argument of symbol sym.

Constructors

val create : penalty:int -> trail:Trail.t -> Logtk.Literal.t list -> proof_step -> t

Build a new clause from the given literals.

parameter trail: boolean trail

parameter penalty: heuristic penalty due to history of the clause (the higher, the less likely the clause is to be picked soon) also takes a list of literals and a proof builder

val create_a : penalty:int -> trail:Trail.t -> Logtk.Literal.t array -> proof_step -> t: Build a new clause from the given literals.

val of_sclause : ?⁠penalty:int -> SClause.t -> proof_step -> t
val of_forms : ?⁠penalty:int -> trail:Trail.t -> Logtk.Term.t Logtk.SLiteral.t list -> proof_step -> t: Directly from list of formulas

val of_forms_axiom : ?⁠penalty:int -> file:string -> name:string -> Logtk.Term.t Logtk.SLiteral.t list -> t: Construction from formulas as axiom (initial clause)

val of_statement : ?⁠convert_defs:bool -> Logtk.Statement.clause_t -> t list: Extract a clause from a statement, if any

val proof_step : t -> proof_step: Extract its proof from the clause

val proof : t -> proof: Obtain the pair conclusion, step

val proof_parent : t -> Logtk.Proof.Parent.t
val proof_parent_subst : Logtk.Subst.Renaming.t -> t Logtk.Scoped.t -> Logtk.Subst.t -> Logtk.Proof.Parent.t
val update_proof : t -> (proof_step -> proof_step) -> t: update_proof c f creates a new clause that is similar to c in all aspects, but with the proof f (proof_step c)

val proof_depth : t -> int
val is_empty : t -> bool: Is the clause an empty clause?

val length : t -> int: Number of literals

val maxlits : t Logtk.Scoped.t -> Logtk.Subst.t -> CCBV.t: List of maximal literals

val is_maxlit : t Logtk.Scoped.t -> Logtk.Subst.t -> idx:int -> bool: Is the i-th literal maximal in subst(clause)? Equivalent to Bitvector.get (maxlits ~ord c subst) i

val eligible_res : t Logtk.Scoped.t -> Logtk.Subst.t -> CCBV.t: Bitvector that indicates which of the literals of subst(clause) are eligible for resolution. THe literal has to be either maximal among selected literals of the same sign, if some literal is selected, or maximal if none is selected.

val eligible_res_no_subst : t -> CCBV.t: More efficient version of eligible_res with Subst.empty

val eligible_param : t Logtk.Scoped.t -> Logtk.Subst.t -> CCBV.t: Bitvector that indicates which of the literals of subst(clause) are eligible for paramodulation. That means the literal is positive, no literal is selecteed, and the literal is maximal among literals of subst(clause).

val is_eligible_param : t Logtk.Scoped.t -> Logtk.Subst.t -> idx:int -> bool: Check whether the idx-th literal is eligible for paramodulation

val has_selected_lits : t -> bool: does the clause have some selected literals?

val is_selected : t -> int -> bool: check whether a literal is selected

val selected_lits : t -> (Logtk.Literal.t * int) list: get the list of selected literals

val penalty : t -> int
val inc_penalty : t -> int -> unit
val is_unit_clause : t -> bool: is the clause a unit clause?

val is_oriented_rule : t -> bool: Is the clause a positive oriented clause?

val symbols : ?⁠init:Logtk.ID.Set.t -> ?⁠include_types:bool -> t Iter.t -> Logtk.ID.Set.t: symbols that occur in the clause

val to_sclause : t -> SClause.t
val to_forms : t -> Logtk.Term.t Logtk.SLiteral.t list: Easy iteration on an abstract view of literals

val to_s_form : t -> Logtk.TypedSTerm.Form.t
val ground_clause : t -> t
val eta_reduce : t -> t option

Iterators

module Seq : sig ... end

val apply_subst : ?⁠renaming:Logtk.Subst.Renaming.t -> ?⁠proof:Logtk.Proof.Step.t option -> ?⁠penalty_inc:int option -> t Logtk.Scoped.t -> Logtk.Subst.FO.t -> t

Filter literals

module Eligible : sig ... end

Set of clauses

module ClauseSet : CCSet.S with type ClauseSet.elt = t: Simple set

Position

module Pos : sig ... end

Clauses with more data

module WithPos : sig ... end: Clause within which a subterm (and its position) are highlighted

IO

val pp : t CCFormat.printer
val pp_tstp : t CCFormat.printer
val pp_tstp_full : t CCFormat.printer: Print in a cnf() statement

val to_string : t -> string: Debug printing to a string

val pp_set : ClauseSet.t CCFormat.printer
val pp_set_tstp : ClauseSet.t CCFormat.printer