author | boehmes |
Thu, 01 May 2014 22:56:59 +0200 | |
changeset 56815 | 848d507584db |
parent 56147 | 9589605bcf41 |
child 56845 | 691da43fbdd4 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/sat_solver.ML |
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Author: Tjark Weber |
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Copyright 2004-2009 |
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Interface to external SAT solvers, and (simple) built-in SAT solvers. |
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Relevant Isabelle environment settings: |
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# MiniSat 1.14 |
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#MINISAT_HOME=/usr/local/bin |
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# zChaff |
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#ZCHAFF_HOME=/usr/local/bin |
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# BerkMin561 |
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#BERKMIN_HOME=/usr/local/bin |
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#BERKMIN_EXE=BerkMin561-linux |
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#BERKMIN_EXE=BerkMin561-solaris |
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# Jerusat 1.3 |
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#JERUSAT_HOME=/usr/local/bin |
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*) |
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signature SAT_SOLVER = |
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sig |
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exception NOT_CONFIGURED |
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type assignment = int -> bool option |
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type proof = int list Inttab.table * int |
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datatype result = SATISFIABLE of assignment |
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| UNSATISFIABLE of proof option |
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| UNKNOWN |
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type solver = Prop_Logic.prop_formula -> result |
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(* auxiliary functions to create external SAT solvers *) |
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val write_dimacs_cnf_file : Path.T -> Prop_Logic.prop_formula -> unit |
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val write_dimacs_sat_file : Path.T -> Prop_Logic.prop_formula -> unit |
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val read_std_result_file : Path.T -> string * string * string -> result |
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val make_external_solver : string -> (Prop_Logic.prop_formula -> unit) -> |
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(unit -> result) -> solver |
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val read_dimacs_cnf_file : Path.T -> Prop_Logic.prop_formula |
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(* generic solver interface *) |
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val get_solvers : unit -> (string * solver) list |
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val add_solver : string * solver -> unit |
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val invoke_solver : string -> solver (* exception Option *) |
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end; |
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structure SatSolver : SAT_SOLVER = |
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struct |
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open Prop_Logic; |
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(* ------------------------------------------------------------------------- *) |
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(* should be raised by an external SAT solver to indicate that the solver is *) |
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(* not configured properly *) |
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(* ------------------------------------------------------------------------- *) |
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exception NOT_CONFIGURED; |
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(* ------------------------------------------------------------------------- *) |
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(* type of partial (satisfying) assignments: 'a i = NONE' means that 'a' is *) |
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(* a satisfying assignment regardless of the value of variable 'i' *) |
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(* ------------------------------------------------------------------------- *) |
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type assignment = int -> bool option; |
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(* ------------------------------------------------------------------------- *) |
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(* a proof of unsatisfiability, to be interpreted as follows: each integer *) |
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(* is a clause ID, each list 'xs' stored under the key 'x' in the table *) |
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(* contains the IDs of clauses that must be resolved (in the given *) |
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(* order) to obtain the new clause 'x'. Each list 'xs' must be *) |
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(* non-empty, and the literal to be resolved upon must always be unique *) |
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(* (e.g. "A | ~B" must not be resolved with "~A | B"). Circular *) |
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(* dependencies of clauses are not allowed. (At least) one of the *) |
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(* clauses in the table must be the empty clause (i.e. contain no *) |
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(* literals); its ID is given by the second component of the proof. *) |
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(* The clauses of the original problem passed to the SAT solver have *) |
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(* consecutive IDs starting with 0. Clause IDs must be non-negative, *) |
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(* but do not need to be consecutive. *) |
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(* ------------------------------------------------------------------------- *) |
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type proof = int list Inttab.table * int; |
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(* ------------------------------------------------------------------------- *) |
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(* return type of SAT solvers: if the result is 'SATISFIABLE', a satisfying *) |
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(* assignment must be returned as well; if the result is *) |
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(* 'UNSATISFIABLE', a proof of unsatisfiability may be returned *) |
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(* ------------------------------------------------------------------------- *) |
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datatype result = SATISFIABLE of assignment |
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| UNSATISFIABLE of proof option |
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| UNKNOWN; |
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(* ------------------------------------------------------------------------- *) |
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(* type of SAT solvers: given a propositional formula, a satisfying *) |
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(* assignment may be returned *) |
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(* ------------------------------------------------------------------------- *) |
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type solver = prop_formula -> result; |
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(* ------------------------------------------------------------------------- *) |
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(* write_dimacs_cnf_file: serializes a formula 'fm' of propositional logic *) |
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(* to a file in DIMACS CNF format (see "Satisfiability Suggested *) |
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(* Format", May 8 1993, Section 2.1) *) |
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(* Note: 'fm' must not contain a variable index less than 1. *) |
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(* Note: 'fm' must be given in CNF. *) |
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(* ------------------------------------------------------------------------- *) |
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fun write_dimacs_cnf_file path fm = |
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let |
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fun cnf_True_False_elim True = |
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Or (BoolVar 1, Not (BoolVar 1)) |
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| cnf_True_False_elim False = |
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And (BoolVar 1, Not (BoolVar 1)) |
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| cnf_True_False_elim fm = |
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fm (* since 'fm' is in CNF, either 'fm'='True'/'False', |
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or 'fm' does not contain 'True'/'False' at all *) |
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fun cnf_number_of_clauses (And (fm1, fm2)) = |
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(cnf_number_of_clauses fm1) + (cnf_number_of_clauses fm2) |
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| cnf_number_of_clauses _ = |
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1 |
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fun write_cnf_file out = |
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let |
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fun write_formula True = |
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error "formula is not in CNF" |
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| write_formula False = |
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error "formula is not in CNF" |
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| write_formula (BoolVar i) = |
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(i>=1 orelse error "formula contains a variable index less than 1"; |
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TextIO.output (out, string_of_int i)) |
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| write_formula (Not (BoolVar i)) = |
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(TextIO.output (out, "-"); |
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write_formula (BoolVar i)) |
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| write_formula (Not _) = |
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error "formula is not in CNF" |
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| write_formula (Or (fm1, fm2)) = |
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(write_formula fm1; |
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TextIO.output (out, " "); |
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write_formula fm2) |
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| write_formula (And (fm1, fm2)) = |
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(write_formula fm1; |
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TextIO.output (out, " 0\n"); |
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write_formula fm2) |
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val fm' = cnf_True_False_elim fm |
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val number_of_vars = maxidx fm' |
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val number_of_clauses = cnf_number_of_clauses fm' |
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in |
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TextIO.output (out, "c This file was generated by SatSolver.write_dimacs_cnf_file\n"); |
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TextIO.output (out, "p cnf " ^ string_of_int number_of_vars ^ " " ^ |
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string_of_int number_of_clauses ^ "\n"); |
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write_formula fm'; |
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TextIO.output (out, " 0\n") |
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end |
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in |
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File.open_output write_cnf_file path |
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end; |
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(* ------------------------------------------------------------------------- *) |
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(* write_dimacs_sat_file: serializes a formula 'fm' of propositional logic *) |
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(* to a file in DIMACS SAT format (see "Satisfiability Suggested *) |
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(* Format", May 8 1993, Section 2.2) *) |
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(* Note: 'fm' must not contain a variable index less than 1. *) |
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(* ------------------------------------------------------------------------- *) |
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||
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fun write_dimacs_sat_file path fm = |
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let |
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fun write_sat_file out = |
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let |
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fun write_formula True = |
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TextIO.output (out, "*()") |
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| write_formula False = |
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TextIO.output (out, "+()") |
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| write_formula (BoolVar i) = |
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(i>=1 orelse error "formula contains a variable index less than 1"; |
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TextIO.output (out, string_of_int i)) |
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| write_formula (Not (BoolVar i)) = |
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(TextIO.output (out, "-"); |
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write_formula (BoolVar i)) |
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| write_formula (Not fm) = |
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(TextIO.output (out, "-("); |
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write_formula fm; |
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TextIO.output (out, ")")) |
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| write_formula (Or (fm1, fm2)) = |
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(TextIO.output (out, "+("); |
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write_formula_or fm1; |
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TextIO.output (out, " "); |
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write_formula_or fm2; |
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TextIO.output (out, ")")) |
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191 |
| write_formula (And (fm1, fm2)) = |
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(TextIO.output (out, "*("); |
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write_formula_and fm1; |
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TextIO.output (out, " "); |
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write_formula_and fm2; |
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TextIO.output (out, ")")) |
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197 |
(* optimization to make use of n-ary disjunction/conjunction *) |
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and write_formula_or (Or (fm1, fm2)) = |
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(write_formula_or fm1; |
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TextIO.output (out, " "); |
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write_formula_or fm2) |
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| write_formula_or fm = |
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write_formula fm |
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and write_formula_and (And (fm1, fm2)) = |
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(write_formula_and fm1; |
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TextIO.output (out, " "); |
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write_formula_and fm2) |
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| write_formula_and fm = |
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write_formula fm |
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210 |
val number_of_vars = Int.max (maxidx fm, 1) |
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211 |
in |
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TextIO.output (out, "c This file was generated by SatSolver.write_dimacs_sat_file\n"); |
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TextIO.output (out, "p sat " ^ string_of_int number_of_vars ^ "\n"); |
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TextIO.output (out, "("); |
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215 |
write_formula fm; |
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TextIO.output (out, ")\n") |
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217 |
end |
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218 |
in |
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File.open_output write_sat_file path |
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220 |
end; |
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|
222 |
(* ------------------------------------------------------------------------- *) |
|
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223 |
(* read_std_result_file: scans a SAT solver's output file for a satisfying *) |
14965 | 224 |
(* variable assignment. Returns the assignment, or 'UNSATISFIABLE' if *) |
225 |
(* the file contains 'unsatisfiable', or 'UNKNOWN' if the file contains *) |
|
226 |
(* neither 'satisfiable' nor 'unsatisfiable'. Empty lines are ignored. *) |
|
227 |
(* The assignment must be given in one or more lines immediately after *) |
|
228 |
(* the line that contains 'satisfiable'. These lines must begin with *) |
|
229 |
(* 'assignment_prefix'. Variables must be separated by " ". Non- *) |
|
230 |
(* integer strings are ignored. If variable i is contained in the *) |
|
231 |
(* assignment, then i is interpreted as 'true'. If ~i is contained in *) |
|
232 |
(* the assignment, then i is interpreted as 'false'. Otherwise the *) |
|
233 |
(* value of i is taken to be unspecified. *) |
|
14453 | 234 |
(* ------------------------------------------------------------------------- *) |
235 |
||
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236 |
fun read_std_result_file path (satisfiable, assignment_prefix, unsatisfiable) = |
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let |
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238 |
fun int_list_from_string s = |
32952 | 239 |
map_filter Int.fromString (space_explode " " s) |
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240 |
fun assignment_from_list [] i = |
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241 |
NONE (* the SAT solver didn't provide a value for this variable *) |
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| assignment_from_list (x::xs) i = |
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243 |
if x=i then (SOME true) |
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else if x=(~i) then (SOME false) |
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else assignment_from_list xs i |
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246 |
fun parse_assignment xs [] = |
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assignment_from_list xs |
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248 |
| parse_assignment xs (line::lines) = |
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249 |
if String.isPrefix assignment_prefix line then |
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250 |
parse_assignment (xs @ int_list_from_string line) lines |
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251 |
else |
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assignment_from_list xs |
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253 |
fun is_substring needle haystack = |
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254 |
let |
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255 |
val length1 = String.size needle |
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256 |
val length2 = String.size haystack |
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257 |
in |
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258 |
if length2 < length1 then |
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259 |
false |
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260 |
else if needle = String.substring (haystack, 0, length1) then |
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261 |
true |
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262 |
else is_substring needle (String.substring (haystack, 1, length2-1)) |
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263 |
end |
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264 |
fun parse_lines [] = |
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265 |
UNKNOWN |
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266 |
| parse_lines (line::lines) = |
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267 |
if is_substring unsatisfiable line then |
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268 |
UNSATISFIABLE NONE |
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269 |
else if is_substring satisfiable line then |
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270 |
SATISFIABLE (parse_assignment [] lines) |
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271 |
else |
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272 |
parse_lines lines |
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273 |
in |
33317 | 274 |
(parse_lines o filter (fn l => l <> "") o split_lines o File.read) path |
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|
275 |
end; |
14453 | 276 |
|
277 |
(* ------------------------------------------------------------------------- *) |
|
278 |
(* make_external_solver: call 'writefn', execute 'cmd', call 'readfn' *) |
|
279 |
(* ------------------------------------------------------------------------- *) |
|
280 |
||
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281 |
fun make_external_solver cmd writefn readfn fm = |
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|
282 |
(writefn fm; Isabelle_System.bash cmd; readfn ()); |
14453 | 283 |
|
284 |
(* ------------------------------------------------------------------------- *) |
|
15040 | 285 |
(* read_dimacs_cnf_file: returns a propositional formula that corresponds to *) |
286 |
(* a SAT problem given in DIMACS CNF format *) |
|
287 |
(* ------------------------------------------------------------------------- *) |
|
288 |
||
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289 |
fun read_dimacs_cnf_file path = |
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290 |
let |
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|
291 |
fun filter_preamble [] = |
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|
292 |
error "problem line not found in DIMACS CNF file" |
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293 |
| filter_preamble (line::lines) = |
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294 |
if String.isPrefix "c " line orelse line = "c" then |
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295 |
(* ignore comments *) |
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|
296 |
filter_preamble lines |
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|
297 |
else if String.isPrefix "p " line then |
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|
298 |
(* ignore the problem line (which must be the last line of the preamble) *) |
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|
299 |
(* Ignoring the problem line implies that if the file contains more clauses *) |
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|
300 |
(* or variables than specified in its preamble, we will accept it anyway. *) |
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301 |
lines |
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|
302 |
else |
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|
303 |
error "preamble in DIMACS CNF file contains a line that does not begin with \"c \" or \"p \"" |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
304 |
fun int_from_string s = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
305 |
case Int.fromString s of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
306 |
SOME i => i |
33937
b5ca587d0885
read_dimacs_cnf_file can now read DIMACS files that contain successive
webertj
parents:
33576
diff
changeset
|
307 |
| NONE => error ("token " ^ quote s ^ " in DIMACS CNF file is not a number") |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
308 |
fun clauses xs = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
309 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
310 |
val (xs1, xs2) = take_prefix (fn i => i <> 0) xs |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
311 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
312 |
case xs2 of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
313 |
[] => [xs1] |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
314 |
| (0::[]) => [xs1] |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
315 |
| (0::tl) => xs1 :: clauses tl |
40314
b5ec88d9ac03
replaced ancient sys_error by raise Fail, assuming that the latter is not handled specifically by the environment;
wenzelm
parents:
39687
diff
changeset
|
316 |
| _ => raise Fail "SatSolver.clauses" |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
317 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
318 |
fun literal_from_int i = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
319 |
(i<>0 orelse error "variable index in DIMACS CNF file is 0"; |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
320 |
if i>0 then |
41471 | 321 |
Prop_Logic.BoolVar i |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
322 |
else |
41471 | 323 |
Prop_Logic.Not (Prop_Logic.BoolVar (~i))) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
324 |
fun disjunction [] = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
325 |
error "empty clause in DIMACS CNF file" |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
326 |
| disjunction (x::xs) = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
327 |
(case xs of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
328 |
[] => x |
41471 | 329 |
| _ => Prop_Logic.Or (x, disjunction xs)) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
330 |
fun conjunction [] = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
331 |
error "no clause in DIMACS CNF file" |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
332 |
| conjunction (x::xs) = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
333 |
(case xs of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
334 |
[] => x |
41471 | 335 |
| _ => Prop_Logic.And (x, conjunction xs)) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
336 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
337 |
(conjunction |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
338 |
o (map disjunction) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
339 |
o (map (map literal_from_int)) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
340 |
o clauses |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
341 |
o (map int_from_string) |
36692
54b64d4ad524
farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
35011
diff
changeset
|
342 |
o (maps (String.tokens (member (op =) [#" ", #"\t", #"\n"]))) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
343 |
o filter_preamble |
33317 | 344 |
o filter (fn l => l <> "") |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
345 |
o split_lines |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
346 |
o File.read) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
347 |
path |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
348 |
end; |
15040 | 349 |
|
350 |
(* ------------------------------------------------------------------------- *) |
|
56147 | 351 |
(* solvers: a table of all registered SAT solvers *) |
14453 | 352 |
(* ------------------------------------------------------------------------- *) |
353 |
||
56147 | 354 |
val solvers = Synchronized.var "solvers" ([] : (string * solver) list); |
355 |
||
356 |
fun get_solvers () = Synchronized.value solvers; |
|
14453 | 357 |
|
358 |
(* ------------------------------------------------------------------------- *) |
|
359 |
(* add_solver: updates 'solvers' by adding a new solver *) |
|
360 |
(* ------------------------------------------------------------------------- *) |
|
361 |
||
56147 | 362 |
fun add_solver (name, new_solver) = |
363 |
Synchronized.change solvers (fn the_solvers => |
|
22220 | 364 |
let |
365 |
val _ = if AList.defined (op =) the_solvers name |
|
366 |
then warning ("SAT solver " ^ quote name ^ " was defined before") |
|
367 |
else (); |
|
56147 | 368 |
in AList.update (op =) (name, new_solver) the_solvers end); |
14453 | 369 |
|
370 |
(* ------------------------------------------------------------------------- *) |
|
371 |
(* invoke_solver: returns the solver associated with the given 'name' *) |
|
15605 | 372 |
(* Note: If no solver is associated with 'name', exception 'Option' will be *) |
14453 | 373 |
(* raised. *) |
374 |
(* ------------------------------------------------------------------------- *) |
|
375 |
||
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
376 |
fun invoke_solver name = |
56147 | 377 |
the (AList.lookup (op =) (get_solvers ()) name); |
14453 | 378 |
|
379 |
end; (* SatSolver *) |
|
380 |
||
381 |
||
382 |
(* ------------------------------------------------------------------------- *) |
|
383 |
(* Predefined SAT solvers *) |
|
384 |
(* ------------------------------------------------------------------------- *) |
|
385 |
||
386 |
(* ------------------------------------------------------------------------- *) |
|
14753 | 387 |
(* Internal SAT solver, available as 'SatSolver.invoke_solver "enumerate"' *) |
388 |
(* -- simply enumerates assignments until a satisfying assignment is found *) |
|
14453 | 389 |
(* ------------------------------------------------------------------------- *) |
390 |
||
391 |
let |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
392 |
fun enum_solver fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
393 |
let |
41471 | 394 |
val indices = Prop_Logic.indices fm |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
395 |
(* binary increment: list 'xs' of current bits, list 'ys' of all bits (lower bits first) *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
396 |
fun next_list _ ([]:int list) = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
397 |
NONE |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
398 |
| next_list [] (y::ys) = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
399 |
SOME [y] |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
400 |
| next_list (x::xs) (y::ys) = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
401 |
if x=y then |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
402 |
(* reset the bit, continue *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
403 |
next_list xs ys |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
404 |
else |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
405 |
(* set the lowest bit that wasn't set before, keep the higher bits *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
406 |
SOME (y::x::xs) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
407 |
fun assignment_from_list xs i = |
36692
54b64d4ad524
farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
35011
diff
changeset
|
408 |
member (op =) xs i |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
409 |
fun solver_loop xs = |
41471 | 410 |
if Prop_Logic.eval (assignment_from_list xs) fm then |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
411 |
SatSolver.SATISFIABLE (SOME o (assignment_from_list xs)) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
412 |
else |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
413 |
(case next_list xs indices of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
414 |
SOME xs' => solver_loop xs' |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
415 |
| NONE => SatSolver.UNSATISFIABLE NONE) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
416 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
417 |
(* start with the "first" assignment (all variables are interpreted as 'false') *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
418 |
solver_loop [] |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
419 |
end |
14453 | 420 |
in |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
421 |
SatSolver.add_solver ("enumerate", enum_solver) |
14453 | 422 |
end; |
423 |
||
424 |
(* ------------------------------------------------------------------------- *) |
|
14753 | 425 |
(* Internal SAT solver, available as 'SatSolver.invoke_solver "dpll"' -- a *) |
426 |
(* simple implementation of the DPLL algorithm (cf. L. Zhang, S. Malik: "The *) |
|
427 |
(* Quest for Efficient Boolean Satisfiability Solvers", July 2002, Fig. 1). *) |
|
14453 | 428 |
(* ------------------------------------------------------------------------- *) |
429 |
||
430 |
let |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
431 |
local |
41471 | 432 |
open Prop_Logic |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
433 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
434 |
fun dpll_solver fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
435 |
let |
41471 | 436 |
(* We could use 'Prop_Logic.defcnf fm' instead of 'Prop_Logic.nnf fm' *) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
437 |
(* but that sometimes leads to worse performance due to the *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
438 |
(* introduction of additional variables. *) |
41471 | 439 |
val fm' = Prop_Logic.nnf fm |
440 |
val indices = Prop_Logic.indices fm' |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
441 |
fun partial_var_eval [] i = BoolVar i |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
442 |
| partial_var_eval (x::xs) i = if x=i then True else if x=(~i) then False else partial_var_eval xs i |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
443 |
fun partial_eval xs True = True |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
444 |
| partial_eval xs False = False |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
445 |
| partial_eval xs (BoolVar i) = partial_var_eval xs i |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
446 |
| partial_eval xs (Not fm) = SNot (partial_eval xs fm) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
447 |
| partial_eval xs (Or (fm1, fm2)) = SOr (partial_eval xs fm1, partial_eval xs fm2) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
448 |
| partial_eval xs (And (fm1, fm2)) = SAnd (partial_eval xs fm1, partial_eval xs fm2) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
449 |
fun forced_vars True = [] |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
450 |
| forced_vars False = [] |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
451 |
| forced_vars (BoolVar i) = [i] |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
452 |
| forced_vars (Not (BoolVar i)) = [~i] |
33049
c38f02fdf35d
curried inter as canonical list operation (beware of argument order)
haftmann
parents:
33039
diff
changeset
|
453 |
| forced_vars (Or (fm1, fm2)) = inter (op =) (forced_vars fm1) (forced_vars fm2) |
33042 | 454 |
| forced_vars (And (fm1, fm2)) = union (op =) (forced_vars fm1) (forced_vars fm2) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
455 |
(* Above, i *and* ~i may be forced. In this case the first occurrence takes *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
456 |
(* precedence, and the next partial evaluation of the formula returns 'False'. *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
457 |
| forced_vars _ = error "formula is not in negation normal form" |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
458 |
fun eval_and_force xs fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
459 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
460 |
val fm' = partial_eval xs fm |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
461 |
val xs' = forced_vars fm' |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
462 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
463 |
if null xs' then |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
464 |
(xs, fm') |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
465 |
else |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
466 |
eval_and_force (xs@xs') fm' (* xs and xs' should be distinct, so '@' here should have *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
467 |
(* the same effect as 'union_int' *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
468 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
469 |
fun fresh_var xs = |
36692
54b64d4ad524
farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
35011
diff
changeset
|
470 |
find_first (fn i => not (member (op =) xs i) andalso not (member (op =) xs (~i))) indices |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
471 |
(* partial assignment 'xs' *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
472 |
fun dpll xs fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
473 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
474 |
val (xs', fm') = eval_and_force xs fm |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
475 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
476 |
case fm' of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
477 |
True => SOME xs' |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
478 |
| False => NONE |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
479 |
| _ => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
480 |
let |
33035 | 481 |
val x = the (fresh_var xs') (* a fresh variable must exist since 'fm' did not evaluate to 'True'/'False' *) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
482 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
483 |
case dpll (x::xs') fm' of (* passing fm' rather than fm should save some simplification work *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
484 |
SOME xs'' => SOME xs'' |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
485 |
| NONE => dpll ((~x)::xs') fm' (* now try interpreting 'x' as 'False' *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
486 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
487 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
488 |
fun assignment_from_list [] i = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
489 |
NONE (* the DPLL procedure didn't provide a value for this variable *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
490 |
| assignment_from_list (x::xs) i = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
491 |
if x=i then (SOME true) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
492 |
else if x=(~i) then (SOME false) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
493 |
else assignment_from_list xs i |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
494 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
495 |
(* initially, no variable is interpreted yet *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
496 |
case dpll [] fm' of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
497 |
SOME assignment => SatSolver.SATISFIABLE (assignment_from_list assignment) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
498 |
| NONE => SatSolver.UNSATISFIABLE NONE |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
499 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
500 |
end (* local *) |
14453 | 501 |
in |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
502 |
SatSolver.add_solver ("dpll", dpll_solver) |
14453 | 503 |
end; |
504 |
||
505 |
(* ------------------------------------------------------------------------- *) |
|
56815 | 506 |
(* Internal SAT solver, available as 'SatSolver.invoke_solver "dpll_p"' -- *) |
507 |
(* a simple, slightly more efficient implementation of the DPLL algorithm *) |
|
508 |
(* (cf. L. Zhang, S. Malik: "The Quest for Efficient Boolean Satisfiability *) |
|
509 |
(* Solvers", July 2002, Fig. 2). In contrast to the other two ML solvers *) |
|
510 |
(* above, this solver produces proof traces. *) |
|
511 |
(* ------------------------------------------------------------------------- *) |
|
512 |
||
513 |
let |
|
514 |
type clause = int list * int |
|
515 |
type value = bool option |
|
516 |
datatype reason = Decided | Implied of clause | Level0 of int |
|
517 |
type variable = bool option * reason * int * int |
|
518 |
type proofs = int * int list Inttab.table |
|
519 |
type state = |
|
520 |
int * int list * variable Inttab.table * clause list Inttab.table * proofs |
|
521 |
exception CONFLICT of clause * state |
|
522 |
exception UNSAT of clause * state |
|
523 |
||
524 |
fun neg i = ~i |
|
525 |
||
526 |
fun lit_value lit value = if lit > 0 then value else Option.map not value |
|
527 |
||
528 |
fun var_of vars lit: variable = the (Inttab.lookup vars (abs lit)) |
|
529 |
fun value_of vars lit = lit_value lit (#1 (var_of vars lit)) |
|
530 |
fun reason_of vars lit = #2 (var_of vars lit) |
|
531 |
fun level_of vars lit = #3 (var_of vars lit) |
|
532 |
||
533 |
fun is_true vars lit = (value_of vars lit = SOME true) |
|
534 |
fun is_false vars lit = (value_of vars lit = SOME false) |
|
535 |
fun is_unassigned vars lit = (value_of vars lit = NONE) |
|
536 |
fun assignment_of vars lit = the_default NONE (try (value_of vars) lit) |
|
537 |
||
538 |
fun put_var value reason level (_, _, _, rank) = (value, reason, level, rank) |
|
539 |
fun incr_rank (value, reason, level, rank) = (value, reason, level, rank + 1) |
|
540 |
fun update_var lit f = Inttab.map_entry (abs lit) f |
|
541 |
fun add_var lit = Inttab.update (abs lit, (NONE, Decided, ~1, 0)) |
|
542 |
||
543 |
fun assign lit r l = update_var lit (put_var (SOME (lit > 0)) r l) |
|
544 |
fun unassign lit = update_var lit (put_var NONE Decided ~1) |
|
545 |
||
546 |
fun add_proof [] (idx, ptab) = (idx, (idx + 1, ptab)) |
|
547 |
| add_proof ps (idx, ptab) = (idx, (idx + 1, Inttab.update (idx, ps) ptab)) |
|
548 |
||
549 |
fun level0_proof_of (Level0 idx) = SOME idx |
|
550 |
| level0_proof_of _ = NONE |
|
551 |
||
552 |
fun level0_proofs_of vars = map_filter (level0_proof_of o reason_of vars) |
|
553 |
fun prems_of vars (lits, p) = p :: level0_proofs_of vars lits |
|
554 |
fun mk_proof vars cls proofs = add_proof (prems_of vars cls) proofs |
|
555 |
||
556 |
fun push lit cls (level, trail, vars, clss, proofs) = |
|
557 |
let |
|
558 |
val (reason, proofs) = |
|
559 |
if level = 0 then apfst Level0 (mk_proof vars cls proofs) |
|
560 |
else (Implied cls, proofs) |
|
561 |
in (level, lit :: trail, assign lit reason level vars, clss, proofs) end |
|
562 |
||
563 |
fun push_decided lit (level, trail, vars, clss, proofs) = |
|
564 |
let val vars' = assign lit Decided (level + 1) vars |
|
565 |
in (level + 1, lit :: 0 :: trail, vars', clss, proofs) end |
|
566 |
||
567 |
fun prop (cls as (lits, _)) (cx as (units, state as (level, _, vars, _, _))) = |
|
568 |
if exists (is_true vars) lits then cx |
|
569 |
else if forall (is_false vars) lits then |
|
570 |
if level = 0 then raise UNSAT (cls, state) |
|
571 |
else raise CONFLICT (cls, state) |
|
572 |
else |
|
573 |
(case filter (is_unassigned vars) lits of |
|
574 |
[lit] => (lit :: units, push lit cls state) |
|
575 |
| _ => cx) |
|
576 |
||
577 |
fun propagate units (state as (_, _, _, clss, _)) = |
|
578 |
(case fold (fold prop o Inttab.lookup_list clss) units ([], state) of |
|
579 |
([], state') => (NONE, state') |
|
580 |
| (units', state') => propagate units' state') |
|
581 |
handle CONFLICT (cls, state') => (SOME cls, state') |
|
582 |
||
583 |
fun max_unassigned (v, (NONE, _, _, rank)) (x as (_, r)) = |
|
584 |
if rank > r then (SOME v, rank) else x |
|
585 |
| max_unassigned _ x = x |
|
586 |
||
587 |
fun decide (state as (_, _, vars, _, _)) = |
|
588 |
(case Inttab.fold max_unassigned vars (NONE, 0) of |
|
589 |
(SOME lit, _) => SOME (lit, push_decided lit state) |
|
590 |
| (NONE, _) => NONE) |
|
591 |
||
592 |
fun mark lit = Inttab.update (abs lit, true) |
|
593 |
fun marked ms lit = the_default false (Inttab.lookup ms (abs lit)) |
|
594 |
fun ignore l ms lit = ((lit = l) orelse marked ms lit) |
|
595 |
||
596 |
fun first_lit _ [] = raise Empty |
|
597 |
| first_lit _ (0 :: _) = raise Empty |
|
598 |
| first_lit pred (lit :: lits) = |
|
599 |
if pred lit then (lit, lits) else first_lit pred lits |
|
600 |
||
601 |
fun reason_cls_of vars lit = |
|
602 |
(case reason_of vars lit of |
|
603 |
Implied cls => cls |
|
604 |
| _ => raise Option) |
|
605 |
||
606 |
fun analyze conflicting_cls (level, trail, vars, _, _) = |
|
607 |
let |
|
608 |
fun back i lit (lits, p) trail ms ls ps = |
|
609 |
let |
|
610 |
val (lits0, lits') = List.partition (equal 0 o level_of vars) lits |
|
611 |
val lits1 = filter_out (ignore lit ms) lits' |
|
612 |
val lits2 = filter_out (equal level o level_of vars) lits1 |
|
613 |
val i' = length lits1 - length lits2 + i |
|
614 |
val ms' = fold mark lits1 ms |
|
615 |
val ls' = lits2 @ ls |
|
616 |
val ps' = level0_proofs_of vars lits0 @ (p :: ps) |
|
617 |
val (lit', trail') = first_lit (marked ms') trail |
|
618 |
in |
|
619 |
if i' = 1 then (neg lit', ls', rev ps') |
|
620 |
else back (i' - 1) lit' (reason_cls_of vars lit') trail' ms' ls' ps' |
|
621 |
end |
|
622 |
in back 0 0 conflicting_cls trail Inttab.empty [] [] end |
|
623 |
||
624 |
fun keep_clause (cls as (lits, _)) (level, trail, vars, clss, proofs) = |
|
625 |
let |
|
626 |
val vars' = fold (fn lit => update_var lit incr_rank) lits vars |
|
627 |
val clss' = fold (fn lit => Inttab.cons_list (neg lit, cls)) lits clss |
|
628 |
in (level, trail, vars', clss', proofs) end |
|
629 |
||
630 |
fun learn (cls as (lits, _)) = (length lits <= 2) ? keep_clause cls |
|
631 |
||
632 |
fun backjump _ (state as (_, [], _, _, _)) = state |
|
633 |
| backjump i (level, 0 :: trail, vars, clss, proofs) = |
|
634 |
(level - 1, trail, vars, clss, proofs) |> (i > 1) ? backjump (i - 1) |
|
635 |
| backjump i (level, lit :: trail, vars, clss, proofs) = |
|
636 |
backjump i (level, trail, unassign lit vars, clss, proofs) |
|
637 |
||
638 |
fun search units state = |
|
639 |
(case propagate units state of |
|
640 |
(NONE, state' as (_, _, vars, _, _)) => |
|
641 |
(case decide state' of |
|
642 |
NONE => SatSolver.SATISFIABLE (assignment_of vars) |
|
643 |
| SOME (lit, state'') => search [lit] state'') |
|
644 |
| (SOME conflicting_cls, state' as (level, trail, vars, clss, proofs)) => |
|
645 |
let |
|
646 |
val (lit, lits, ps) = analyze conflicting_cls state' |
|
647 |
val (idx, proofs') = add_proof ps proofs |
|
648 |
val cls = (lit :: lits, idx) |
|
649 |
in |
|
650 |
(level, trail, vars, clss, proofs') |
|
651 |
|> backjump (level - fold (Integer.max o level_of vars) lits 0) |
|
652 |
|> learn cls |
|
653 |
|> push lit cls |
|
654 |
|> search [lit] |
|
655 |
end) |
|
656 |
||
657 |
fun has_opposing_lits [] = false |
|
658 |
| has_opposing_lits (lit :: lits) = |
|
659 |
member (op =) lits (neg lit) orelse has_opposing_lits lits |
|
660 |
||
661 |
fun add_clause (cls as ([_], _)) (units, state) = |
|
662 |
let val (units', state') = prop cls (units, state) |
|
663 |
in (units', state') end |
|
664 |
| add_clause (cls as (lits, _)) (cx as (units, state)) = |
|
665 |
if has_opposing_lits lits then cx |
|
666 |
else (units, keep_clause cls state) |
|
667 |
||
668 |
fun mk_clause lits proofs = |
|
669 |
apfst (pair (distinct (op =) lits)) (add_proof [] proofs) |
|
670 |
||
671 |
fun solve litss = |
|
672 |
let |
|
673 |
val (clss, proofs) = fold_map mk_clause litss (0, Inttab.empty) |
|
674 |
val vars = fold (fold add_var) litss Inttab.empty |
|
675 |
val state = (0, [], vars, Inttab.empty, proofs) |
|
676 |
in uncurry search (fold add_clause clss ([], state)) end |
|
677 |
handle UNSAT (conflicting_cls, (_, _, vars, _, proofs)) => |
|
678 |
let val (idx, (_, ptab)) = mk_proof vars conflicting_cls proofs |
|
679 |
in SatSolver.UNSATISFIABLE (SOME (ptab, idx)) end |
|
680 |
||
681 |
fun variable_of (Prop_Logic.BoolVar 0) = error "bad propositional variable" |
|
682 |
| variable_of (Prop_Logic.BoolVar i) = i |
|
683 |
| variable_of _ = error "expected formula in CNF" |
|
684 |
fun literal_of (Prop_Logic.Not fm) = neg (variable_of fm) |
|
685 |
| literal_of fm = variable_of fm |
|
686 |
fun clause_of (Prop_Logic.Or (fm1, fm2)) = clause_of fm1 @ clause_of fm2 |
|
687 |
| clause_of fm = [literal_of fm] |
|
688 |
fun clauses_of (Prop_Logic.And (fm1, fm2)) = clauses_of fm1 @ clauses_of fm2 |
|
689 |
| clauses_of Prop_Logic.True = [[1, ~1]] |
|
690 |
| clauses_of Prop_Logic.False = [[1], [~1]] |
|
691 |
| clauses_of fm = [clause_of fm] |
|
692 |
||
693 |
fun dpll_solver fm = |
|
694 |
let val fm' = if Prop_Logic.is_cnf fm then fm else Prop_Logic.defcnf fm |
|
695 |
in solve (clauses_of fm') end |
|
696 |
in |
|
697 |
SatSolver.add_solver ("dpll_p", dpll_solver) |
|
698 |
end; |
|
699 |
||
700 |
(* ------------------------------------------------------------------------- *) |
|
14753 | 701 |
(* Internal SAT solver, available as 'SatSolver.invoke_solver "auto"': uses *) |
17577
e87bf1d8f17a
zchaff_with_proofs does not delete zChaff\s resolve_trace file anymore
webertj
parents:
17541
diff
changeset
|
702 |
(* the last installed solver (other than "auto" itself) that does not raise *) |
15299
576fd0b65ed8
solver auto now returns the result of the first solver that does not raise NOT_CONFIGURED (which may be UNKNOWN)
webertj
parents:
15128
diff
changeset
|
703 |
(* 'NOT_CONFIGURED'. (However, the solver may return 'UNKNOWN'.) *) |
14453 | 704 |
(* ------------------------------------------------------------------------- *) |
705 |
||
706 |
let |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
707 |
fun auto_solver fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
708 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
709 |
fun loop [] = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
710 |
SatSolver.UNKNOWN |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
711 |
| loop ((name, solver)::solvers) = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
712 |
if name="auto" then |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
713 |
(* do not call solver "auto" from within "auto" *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
714 |
loop solvers |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
715 |
else ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
716 |
(* apply 'solver' to 'fm' *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
717 |
solver fm |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
718 |
handle SatSolver.NOT_CONFIGURED => loop solvers |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
719 |
) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
720 |
in |
56147 | 721 |
loop (SatSolver.get_solvers ()) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
722 |
end |
14453 | 723 |
in |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
724 |
SatSolver.add_solver ("auto", auto_solver) |
14453 | 725 |
end; |
726 |
||
727 |
(* ------------------------------------------------------------------------- *) |
|
20033 | 728 |
(* MiniSat 1.14 *) |
729 |
(* (http://www.cs.chalmers.se/Cs/Research/FormalMethods/MiniSat/) *) |
|
730 |
(* ------------------------------------------------------------------------- *) |
|
731 |
||
20135 | 732 |
(* ------------------------------------------------------------------------- *) |
733 |
(* "minisat_with_proofs" requires a modified version of MiniSat 1.14 by John *) |
|
734 |
(* Matthews, which can output ASCII proof traces. Replaying binary proof *) |
|
735 |
(* traces generated by MiniSat-p_v1.14 has _not_ been implemented. *) |
|
736 |
(* ------------------------------------------------------------------------- *) |
|
737 |
||
738 |
(* add "minisat_with_proofs" _before_ "minisat" to the available solvers, so *) |
|
739 |
(* that the latter is preferred by the "auto" solver *) |
|
740 |
||
20152
b6373fe199e1
MiniSat proof trace format changed; MiniSat is now expected to produce a proof also for "trivial" problems
webertj
parents:
20137
diff
changeset
|
741 |
(* There is a complication that is dealt with in the code below: MiniSat *) |
b6373fe199e1
MiniSat proof trace format changed; MiniSat is now expected to produce a proof also for "trivial" problems
webertj
parents:
20137
diff
changeset
|
742 |
(* introduces IDs for original clauses in the proof trace. It does not (in *) |
b6373fe199e1
MiniSat proof trace format changed; MiniSat is now expected to produce a proof also for "trivial" problems
webertj
parents:
20137
diff
changeset
|
743 |
(* general) follow the convention that the original clauses are numbered *) |
b6373fe199e1
MiniSat proof trace format changed; MiniSat is now expected to produce a proof also for "trivial" problems
webertj
parents:
20137
diff
changeset
|
744 |
(* from 0 to n-1 (where n is the number of clauses in the formula). *) |
20135 | 745 |
|
746 |
let |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
747 |
exception INVALID_PROOF of string |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
748 |
fun minisat_with_proofs fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
749 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
750 |
val _ = if (getenv "MINISAT_HOME") = "" then raise SatSolver.NOT_CONFIGURED else () |
29872
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
751 |
val serial_str = serial_string () |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
752 |
val inpath = File.tmp_path (Path.explode ("isabelle" ^ serial_str ^ ".cnf")) |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
753 |
val outpath = File.tmp_path (Path.explode ("result" ^ serial_str)) |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
754 |
val proofpath = File.tmp_path (Path.explode ("result" ^ serial_str ^ ".prf")) |
35011
9e55e87434ff
proper treatment of paths passed to the shell -- to allow spaces in file names as usual;
wenzelm
parents:
35010
diff
changeset
|
755 |
val cmd = getenv "MINISAT_HOME" ^ "/minisat " ^ File.shell_path inpath ^ " -r " ^ File.shell_path outpath ^ " -t " ^ File.shell_path proofpath ^ "> /dev/null" |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
756 |
fun writefn fm = SatSolver.write_dimacs_cnf_file inpath fm |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
757 |
fun readfn () = SatSolver.read_std_result_file outpath ("SAT", "", "UNSAT") |
41944
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
758 |
val _ = if File.exists inpath then warning ("overwriting existing file " ^ Path.print inpath) else () |
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
759 |
val _ = if File.exists outpath then warning ("overwriting existing file " ^ Path.print outpath) else () |
41471 | 760 |
val cnf = Prop_Logic.defcnf fm |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
761 |
val result = SatSolver.make_external_solver cmd writefn readfn cnf |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
762 |
val _ = try File.rm inpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
763 |
val _ = try File.rm outpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
764 |
in case result of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
765 |
SatSolver.UNSATISFIABLE NONE => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
766 |
(let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
767 |
val proof_lines = (split_lines o File.read) proofpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
768 |
handle IO.Io _ => raise INVALID_PROOF "Could not read file \"result.prf\"" |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
769 |
(* representation of clauses as ordered lists of literals (with duplicates removed) *) |
41471 | 770 |
fun clause_to_lit_list (Prop_Logic.Or (fm1, fm2)) = |
39687 | 771 |
Ord_List.union int_ord (clause_to_lit_list fm1) (clause_to_lit_list fm2) |
41471 | 772 |
| clause_to_lit_list (Prop_Logic.BoolVar i) = |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
773 |
[i] |
41471 | 774 |
| clause_to_lit_list (Prop_Logic.Not (Prop_Logic.BoolVar i)) = |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
775 |
[~i] |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
776 |
| clause_to_lit_list _ = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
777 |
raise INVALID_PROOF "Error: invalid clause in CNF formula." |
41471 | 778 |
fun cnf_number_of_clauses (Prop_Logic.And (fm1, fm2)) = |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
779 |
cnf_number_of_clauses fm1 + cnf_number_of_clauses fm2 |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
780 |
| cnf_number_of_clauses _ = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
781 |
1 |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
782 |
val number_of_clauses = cnf_number_of_clauses cnf |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
783 |
(* int list array *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
784 |
val clauses = Array.array (number_of_clauses, []) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
785 |
(* initialize the 'clauses' array *) |
41471 | 786 |
fun init_array (Prop_Logic.And (fm1, fm2), n) = |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
787 |
init_array (fm2, init_array (fm1, n)) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
788 |
| init_array (fm, n) = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
789 |
(Array.update (clauses, n, clause_to_lit_list fm); n+1) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
790 |
val _ = init_array (cnf, 0) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
791 |
(* optimization for the common case where MiniSat "R"s clauses in their *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
792 |
(* original order: *) |
32740 | 793 |
val last_ref_clause = Unsynchronized.ref (number_of_clauses - 1) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
794 |
(* search the 'clauses' array for the given list of literals 'lits', *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
795 |
(* starting at index '!last_ref_clause + 1' *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
796 |
fun original_clause_id lits = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
797 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
798 |
fun original_clause_id_from index = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
799 |
if index = number_of_clauses then |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
800 |
(* search from beginning again *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
801 |
original_clause_id_from 0 |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
802 |
(* both 'lits' and the list of literals used in 'clauses' are sorted, so *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
803 |
(* testing for equality should suffice -- barring duplicate literals *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
804 |
else if Array.sub (clauses, index) = lits then ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
805 |
(* success *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
806 |
last_ref_clause := index; |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
807 |
SOME index |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
808 |
) else if index = !last_ref_clause then |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
809 |
(* failure *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
810 |
NONE |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
811 |
else |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
812 |
(* continue search *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
813 |
original_clause_id_from (index + 1) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
814 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
815 |
original_clause_id_from (!last_ref_clause + 1) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
816 |
end |
55436
9781e17dcc23
removed odd comments -- inferred types are shown by Prover IDE;
wenzelm
parents:
52049
diff
changeset
|
817 |
fun int_from_string s = |
9781e17dcc23
removed odd comments -- inferred types are shown by Prover IDE;
wenzelm
parents:
52049
diff
changeset
|
818 |
(case Int.fromString s of |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
819 |
SOME i => i |
55436
9781e17dcc23
removed odd comments -- inferred types are shown by Prover IDE;
wenzelm
parents:
52049
diff
changeset
|
820 |
| NONE => raise INVALID_PROOF ("File format error: number expected (" ^ quote s ^ " encountered).")) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
821 |
(* parse the proof file *) |
32740 | 822 |
val clause_table = Unsynchronized.ref (Inttab.empty : int list Inttab.table) |
823 |
val empty_id = Unsynchronized.ref ~1 |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
824 |
(* contains a mapping from clause IDs as used by MiniSat to clause IDs in *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
825 |
(* our proof format, where original clauses are numbered starting from 0 *) |
32740 | 826 |
val clause_id_map = Unsynchronized.ref (Inttab.empty : int Inttab.table) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
827 |
fun sat_to_proof id = ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
828 |
case Inttab.lookup (!clause_id_map) id of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
829 |
SOME id' => id' |
41491 | 830 |
| NONE => raise INVALID_PROOF ("Clause ID " ^ string_of_int id ^ " used, but not defined.") |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
831 |
) |
32740 | 832 |
val next_id = Unsynchronized.ref (number_of_clauses - 1) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
833 |
fun process_tokens [] = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
834 |
() |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
835 |
| process_tokens (tok::toks) = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
836 |
if tok="R" then ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
837 |
case toks of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
838 |
id::sep::lits => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
839 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
840 |
val _ = if !empty_id = ~1 then () else raise INVALID_PROOF "File format error: \"R\" disallowed after \"X\"." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
841 |
val cid = int_from_string id |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
842 |
val _ = if sep = "<=" then () else raise INVALID_PROOF ("File format error: \"<=\" expected (" ^ quote sep ^ " encountered).") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
843 |
val ls = sort int_ord (map int_from_string lits) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
844 |
val proof_id = case original_clause_id ls of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
845 |
SOME orig_id => orig_id |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
846 |
| NONE => raise INVALID_PROOF ("Original clause (new ID is " ^ id ^ ") not found.") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
847 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
848 |
(* extend the mapping of clause IDs with this newly defined ID *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
849 |
clause_id_map := Inttab.update_new (cid, proof_id) (!clause_id_map) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
850 |
handle Inttab.DUP _ => raise INVALID_PROOF ("File format error: clause " ^ id ^ " defined more than once (in \"R\").") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
851 |
(* the proof itself doesn't change *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
852 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
853 |
| _ => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
854 |
raise INVALID_PROOF "File format error: \"R\" followed by an insufficient number of tokens." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
855 |
) else if tok="C" then ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
856 |
case toks of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
857 |
id::sep::ids => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
858 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
859 |
val _ = if !empty_id = ~1 then () else raise INVALID_PROOF "File format error: \"C\" disallowed after \"X\"." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
860 |
val cid = int_from_string id |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
861 |
val _ = if sep = "<=" then () else raise INVALID_PROOF ("File format error: \"<=\" expected (" ^ quote sep ^ " encountered).") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
862 |
(* ignore the pivot literals in MiniSat's trace *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
863 |
fun unevens [] = raise INVALID_PROOF "File format error: \"C\" followed by an even number of IDs." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
864 |
| unevens (x :: []) = x :: [] |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
865 |
| unevens (x :: _ :: xs) = x :: unevens xs |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
866 |
val rs = (map sat_to_proof o unevens o map int_from_string) ids |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
867 |
(* extend the mapping of clause IDs with this newly defined ID *) |
32740 | 868 |
val proof_id = Unsynchronized.inc next_id |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
869 |
val _ = clause_id_map := Inttab.update_new (cid, proof_id) (!clause_id_map) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
870 |
handle Inttab.DUP _ => raise INVALID_PROOF ("File format error: clause " ^ id ^ " defined more than once (in \"C\").") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
871 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
872 |
(* update clause table *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
873 |
clause_table := Inttab.update_new (proof_id, rs) (!clause_table) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
874 |
handle Inttab.DUP _ => raise INVALID_PROOF ("Error: internal ID for clause " ^ id ^ " already used.") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
875 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
876 |
| _ => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
877 |
raise INVALID_PROOF "File format error: \"C\" followed by an insufficient number of tokens." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
878 |
) else if tok="D" then ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
879 |
case toks of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
880 |
[id] => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
881 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
882 |
val _ = if !empty_id = ~1 then () else raise INVALID_PROOF "File format error: \"D\" disallowed after \"X\"." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
883 |
val _ = sat_to_proof (int_from_string id) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
884 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
885 |
(* simply ignore "D" *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
886 |
() |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
887 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
888 |
| _ => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
889 |
raise INVALID_PROOF "File format error: \"D\" followed by an illegal number of tokens." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
890 |
) else if tok="X" then ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
891 |
case toks of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
892 |
[id1, id2] => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
893 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
894 |
val _ = if !empty_id = ~1 then () else raise INVALID_PROOF "File format error: more than one end-of-proof statement." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
895 |
val _ = sat_to_proof (int_from_string id1) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
896 |
val new_empty_id = sat_to_proof (int_from_string id2) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
897 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
898 |
(* update conflict id *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
899 |
empty_id := new_empty_id |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
900 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
901 |
| _ => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
902 |
raise INVALID_PROOF "File format error: \"X\" followed by an illegal number of tokens." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
903 |
) else |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
904 |
raise INVALID_PROOF ("File format error: unknown token " ^ quote tok ^ " encountered.") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
905 |
fun process_lines [] = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
906 |
() |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
907 |
| process_lines (l::ls) = ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
908 |
process_tokens (String.tokens (fn c => c = #" " orelse c = #"\t") l); |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
909 |
process_lines ls |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
910 |
) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
911 |
(* proof *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
912 |
val _ = process_lines proof_lines |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
913 |
val _ = if !empty_id <> ~1 then () else raise INVALID_PROOF "File format error: no conflicting clause specified." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
914 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
915 |
SatSolver.UNSATISFIABLE (SOME (!clause_table, !empty_id)) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
916 |
end handle INVALID_PROOF reason => (warning reason; SatSolver.UNSATISFIABLE NONE)) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
917 |
| result => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
918 |
result |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
919 |
end |
20135 | 920 |
in |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
921 |
SatSolver.add_solver ("minisat_with_proofs", minisat_with_proofs) |
20135 | 922 |
end; |
923 |
||
20033 | 924 |
let |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
925 |
fun minisat fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
926 |
let |
35011
9e55e87434ff
proper treatment of paths passed to the shell -- to allow spaces in file names as usual;
wenzelm
parents:
35010
diff
changeset
|
927 |
val _ = if getenv "MINISAT_HOME" = "" then raise SatSolver.NOT_CONFIGURED else () |
29872
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
928 |
val serial_str = serial_string () |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
929 |
val inpath = File.tmp_path (Path.explode ("isabelle" ^ serial_str ^ ".cnf")) |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
930 |
val outpath = File.tmp_path (Path.explode ("result" ^ serial_str)) |
35011
9e55e87434ff
proper treatment of paths passed to the shell -- to allow spaces in file names as usual;
wenzelm
parents:
35010
diff
changeset
|
931 |
val cmd = getenv "MINISAT_HOME" ^ "/minisat " ^ File.shell_path inpath ^ " -r " ^ File.shell_path outpath ^ " > /dev/null" |
41471 | 932 |
fun writefn fm = SatSolver.write_dimacs_cnf_file inpath (Prop_Logic.defcnf fm) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
933 |
fun readfn () = SatSolver.read_std_result_file outpath ("SAT", "", "UNSAT") |
41944
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
934 |
val _ = if File.exists inpath then warning ("overwriting existing file " ^ Path.print inpath) else () |
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
935 |
val _ = if File.exists outpath then warning ("overwriting existing file " ^ Path.print outpath) else () |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
936 |
val result = SatSolver.make_external_solver cmd writefn readfn fm |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
937 |
val _ = try File.rm inpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
938 |
val _ = try File.rm outpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
939 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
940 |
result |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
941 |
end |
20033 | 942 |
in |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
943 |
SatSolver.add_solver ("minisat", minisat) |
20033 | 944 |
end; |
945 |
||
946 |
(* ------------------------------------------------------------------------- *) |
|
15332 | 947 |
(* zChaff (http://www.princeton.edu/~chaff/zchaff.html) *) |
14453 | 948 |
(* ------------------------------------------------------------------------- *) |
949 |
||
17493
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
950 |
(* ------------------------------------------------------------------------- *) |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
951 |
(* 'zchaff_with_proofs' applies the "zchaff" prover to a formula, and if *) |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
952 |
(* zChaff finds that the formula is unsatisfiable, a proof of this is read *) |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
953 |
(* from a file "resolve_trace" that was generated by zChaff. See the code *) |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
954 |
(* below for the expected format of the "resolve_trace" file. Aside from *) |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
955 |
(* some basic syntactic checks, no verification of the proof is performed. *) |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
956 |
(* ------------------------------------------------------------------------- *) |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
957 |
|
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
958 |
(* add "zchaff_with_proofs" _before_ "zchaff" to the available solvers, so *) |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
959 |
(* that the latter is preferred by the "auto" solver *) |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
960 |
|
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
961 |
let |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
962 |
exception INVALID_PROOF of string |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
963 |
fun zchaff_with_proofs fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
964 |
case SatSolver.invoke_solver "zchaff" fm of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
965 |
SatSolver.UNSATISFIABLE NONE => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
966 |
(let |
43701 | 967 |
(* FIXME File.tmp_path (!?) *) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
968 |
val proof_lines = ((split_lines o File.read) (Path.explode "resolve_trace")) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
969 |
handle IO.Io _ => raise INVALID_PROOF "Could not read file \"resolve_trace\"" |
41471 | 970 |
fun cnf_number_of_clauses (Prop_Logic.And (fm1, fm2)) = |
971 |
cnf_number_of_clauses fm1 + cnf_number_of_clauses fm2 |
|
972 |
| cnf_number_of_clauses _ = 1 |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
973 |
fun int_from_string s = ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
974 |
case Int.fromString s of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
975 |
SOME i => i |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
976 |
| NONE => raise INVALID_PROOF ("File format error: number expected (" ^ quote s ^ " encountered).") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
977 |
) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
978 |
(* parse the "resolve_trace" file *) |
32740 | 979 |
val clause_offset = Unsynchronized.ref ~1 |
980 |
val clause_table = Unsynchronized.ref (Inttab.empty : int list Inttab.table) |
|
981 |
val empty_id = Unsynchronized.ref ~1 |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
982 |
fun process_tokens [] = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
983 |
() |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
984 |
| process_tokens (tok::toks) = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
985 |
if tok="CL:" then ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
986 |
case toks of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
987 |
id::sep::ids => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
988 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
989 |
val _ = if !clause_offset = ~1 then () else raise INVALID_PROOF ("File format error: \"CL:\" disallowed after \"VAR:\".") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
990 |
val _ = if !empty_id = ~1 then () else raise INVALID_PROOF ("File format error: \"CL:\" disallowed after \"CONF:\".") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
991 |
val cid = int_from_string id |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
992 |
val _ = if sep = "<=" then () else raise INVALID_PROOF ("File format error: \"<=\" expected (" ^ quote sep ^ " encountered).") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
993 |
val rs = map int_from_string ids |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
994 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
995 |
(* update clause table *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
996 |
clause_table := Inttab.update_new (cid, rs) (!clause_table) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
997 |
handle Inttab.DUP _ => raise INVALID_PROOF ("File format error: clause " ^ id ^ " defined more than once.") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
998 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
999 |
| _ => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1000 |
raise INVALID_PROOF "File format error: \"CL:\" followed by an insufficient number of tokens." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1001 |
) else if tok="VAR:" then ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1002 |
case toks of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1003 |
id::levsep::levid::valsep::valid::antesep::anteid::litsep::lits => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1004 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1005 |
val _ = if !empty_id = ~1 then () else raise INVALID_PROOF ("File format error: \"VAR:\" disallowed after \"CONF:\".") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1006 |
(* set 'clause_offset' to the largest used clause ID *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1007 |
val _ = if !clause_offset = ~1 then clause_offset := |
52049 | 1008 |
(case Inttab.max (!clause_table) of |
1009 |
SOME (id, _) => id |
|
41471 | 1010 |
| NONE => cnf_number_of_clauses (Prop_Logic.defcnf fm) - 1 (* the first clause ID is 0, not 1 *)) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1011 |
else |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1012 |
() |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1013 |
val vid = int_from_string id |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1014 |
val _ = if levsep = "L:" then () else raise INVALID_PROOF ("File format error: \"L:\" expected (" ^ quote levsep ^ " encountered).") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1015 |
val _ = int_from_string levid |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1016 |
val _ = if valsep = "V:" then () else raise INVALID_PROOF ("File format error: \"V:\" expected (" ^ quote valsep ^ " encountered).") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1017 |
val _ = int_from_string valid |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1018 |
val _ = if antesep = "A:" then () else raise INVALID_PROOF ("File format error: \"A:\" expected (" ^ quote antesep ^ " encountered).") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1019 |
val aid = int_from_string anteid |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1020 |
val _ = if litsep = "Lits:" then () else raise INVALID_PROOF ("File format error: \"Lits:\" expected (" ^ quote litsep ^ " encountered).") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1021 |
val ls = map int_from_string lits |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1022 |
(* convert the data provided by zChaff to our resolution-style proof format *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1023 |
(* each "VAR:" line defines a unit clause, the resolvents are implicitly *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1024 |
(* given by the literals in the antecedent clause *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1025 |
(* we use the sum of '!clause_offset' and the variable ID as clause ID for the unit clause *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1026 |
val cid = !clause_offset + vid |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1027 |
(* the low bit of each literal gives its sign (positive/negative), therefore *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1028 |
(* we have to divide each literal by 2 to obtain the proper variable ID; then *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1029 |
(* we add '!clause_offset' to obtain the ID of the corresponding unit clause *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1030 |
val vids = filter (not_equal vid) (map (fn l => l div 2) ls) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1031 |
val rs = aid :: map (fn v => !clause_offset + v) vids |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1032 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1033 |
(* update clause table *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1034 |
clause_table := Inttab.update_new (cid, rs) (!clause_table) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1035 |
handle Inttab.DUP _ => raise INVALID_PROOF ("File format error: clause " ^ string_of_int cid ^ " (derived from antecedent for variable " ^ id ^ ") already defined.") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1036 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1037 |
| _ => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1038 |
raise INVALID_PROOF "File format error: \"VAR:\" followed by an insufficient number of tokens." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1039 |
) else if tok="CONF:" then ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1040 |
case toks of |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1041 |
id::sep::ids => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1042 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1043 |
val _ = if !empty_id = ~1 then () else raise INVALID_PROOF "File format error: more than one conflicting clause specified." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1044 |
val cid = int_from_string id |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1045 |
val _ = if sep = "==" then () else raise INVALID_PROOF ("File format error: \"==\" expected (" ^ quote sep ^ " encountered).") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1046 |
val ls = map int_from_string ids |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1047 |
(* the conflict clause must be resolved with the unit clauses *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1048 |
(* for its literals to obtain the empty clause *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1049 |
val vids = map (fn l => l div 2) ls |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1050 |
val rs = cid :: map (fn v => !clause_offset + v) vids |
52049 | 1051 |
val new_empty_id = the_default (!clause_offset) (Option.map fst (Inttab.max (!clause_table))) + 1 |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1052 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1053 |
(* update clause table and conflict id *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1054 |
clause_table := Inttab.update_new (new_empty_id, rs) (!clause_table) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1055 |
handle Inttab.DUP _ => raise INVALID_PROOF ("File format error: clause " ^ string_of_int new_empty_id ^ " (empty clause derived from clause " ^ id ^ ") already defined."); |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1056 |
empty_id := new_empty_id |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1057 |
end |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1058 |
| _ => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1059 |
raise INVALID_PROOF "File format error: \"CONF:\" followed by an insufficient number of tokens." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1060 |
) else |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1061 |
raise INVALID_PROOF ("File format error: unknown token " ^ quote tok ^ " encountered.") |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1062 |
fun process_lines [] = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1063 |
() |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1064 |
| process_lines (l::ls) = ( |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1065 |
process_tokens (String.tokens (fn c => c = #" " orelse c = #"\t") l); |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1066 |
process_lines ls |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1067 |
) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1068 |
(* proof *) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1069 |
val _ = process_lines proof_lines |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1070 |
val _ = if !empty_id <> ~1 then () else raise INVALID_PROOF "File format error: no conflicting clause specified." |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1071 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1072 |
SatSolver.UNSATISFIABLE (SOME (!clause_table, !empty_id)) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1073 |
end handle INVALID_PROOF reason => (warning reason; SatSolver.UNSATISFIABLE NONE)) |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1074 |
| result => |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1075 |
result |
17493
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
1076 |
in |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1077 |
SatSolver.add_solver ("zchaff_with_proofs", zchaff_with_proofs) |
17493
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
1078 |
end; |
cf8713d880b1
SAT solver interface modified to support proofs of unsatisfiability
webertj
parents:
16915
diff
changeset
|
1079 |
|
14487
157d0ea7b2da
Installed solvers now determined at call time (as opposed to compile time)
webertj
parents:
14460
diff
changeset
|
1080 |
let |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1081 |
fun zchaff fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1082 |
let |
35011
9e55e87434ff
proper treatment of paths passed to the shell -- to allow spaces in file names as usual;
wenzelm
parents:
35010
diff
changeset
|
1083 |
val _ = if getenv "ZCHAFF_HOME" = "" then raise SatSolver.NOT_CONFIGURED else () |
29872
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
1084 |
val serial_str = serial_string () |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
1085 |
val inpath = File.tmp_path (Path.explode ("isabelle" ^ serial_str ^ ".cnf")) |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
1086 |
val outpath = File.tmp_path (Path.explode ("result" ^ serial_str)) |
35011
9e55e87434ff
proper treatment of paths passed to the shell -- to allow spaces in file names as usual;
wenzelm
parents:
35010
diff
changeset
|
1087 |
val cmd = getenv "ZCHAFF_HOME" ^ "/zchaff " ^ File.shell_path inpath ^ " > " ^ File.shell_path outpath |
41471 | 1088 |
fun writefn fm = SatSolver.write_dimacs_cnf_file inpath (Prop_Logic.defcnf fm) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1089 |
fun readfn () = SatSolver.read_std_result_file outpath ("Instance Satisfiable", "", "Instance Unsatisfiable") |
41944
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
1090 |
val _ = if File.exists inpath then warning ("overwriting existing file " ^ Path.print inpath) else () |
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
1091 |
val _ = if File.exists outpath then warning ("overwriting existing file " ^ Path.print outpath) else () |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1092 |
val result = SatSolver.make_external_solver cmd writefn readfn fm |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1093 |
val _ = try File.rm inpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1094 |
val _ = try File.rm outpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1095 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1096 |
result |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1097 |
end |
14487
157d0ea7b2da
Installed solvers now determined at call time (as opposed to compile time)
webertj
parents:
14460
diff
changeset
|
1098 |
in |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1099 |
SatSolver.add_solver ("zchaff", zchaff) |
14965 | 1100 |
end; |
1101 |
||
1102 |
(* ------------------------------------------------------------------------- *) |
|
1103 |
(* BerkMin 561 (http://eigold.tripod.com/BerkMin.html) *) |
|
1104 |
(* ------------------------------------------------------------------------- *) |
|
1105 |
||
1106 |
let |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1107 |
fun berkmin fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1108 |
let |
30275
381ce8d88cb8
Reintroduced previous changes: Made "Refute.norm_rhs" public and simplified the configuration of the BerkMin and zChaff SAT solvers.
blanchet
parents:
30240
diff
changeset
|
1109 |
val _ = if (getenv "BERKMIN_HOME") = "" then raise SatSolver.NOT_CONFIGURED else () |
29872
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
1110 |
val serial_str = serial_string () |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
1111 |
val inpath = File.tmp_path (Path.explode ("isabelle" ^ serial_str ^ ".cnf")) |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
1112 |
val outpath = File.tmp_path (Path.explode ("result" ^ serial_str)) |
30275
381ce8d88cb8
Reintroduced previous changes: Made "Refute.norm_rhs" public and simplified the configuration of the BerkMin and zChaff SAT solvers.
blanchet
parents:
30240
diff
changeset
|
1113 |
val exec = getenv "BERKMIN_EXE" |
35011
9e55e87434ff
proper treatment of paths passed to the shell -- to allow spaces in file names as usual;
wenzelm
parents:
35010
diff
changeset
|
1114 |
val cmd = getenv "BERKMIN_HOME" ^ "/" ^ (if exec = "" then "BerkMin561" else exec) ^ " " ^ File.shell_path inpath ^ " > " ^ File.shell_path outpath |
41471 | 1115 |
fun writefn fm = SatSolver.write_dimacs_cnf_file inpath (Prop_Logic.defcnf fm) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1116 |
fun readfn () = SatSolver.read_std_result_file outpath ("Satisfiable !!", "solution =", "UNSATISFIABLE !!") |
41944
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
1117 |
val _ = if File.exists inpath then warning ("overwriting existing file " ^ Path.print inpath) else () |
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
1118 |
val _ = if File.exists outpath then warning ("overwriting existing file " ^ Path.print outpath) else () |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1119 |
val result = SatSolver.make_external_solver cmd writefn readfn fm |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1120 |
val _ = try File.rm inpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1121 |
val _ = try File.rm outpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1122 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1123 |
result |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1124 |
end |
14965 | 1125 |
in |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1126 |
SatSolver.add_solver ("berkmin", berkmin) |
14965 | 1127 |
end; |
1128 |
||
1129 |
(* ------------------------------------------------------------------------- *) |
|
1130 |
(* Jerusat 1.3 (http://www.cs.tau.ac.il/~ale1/) *) |
|
1131 |
(* ------------------------------------------------------------------------- *) |
|
1132 |
||
1133 |
let |
|
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1134 |
fun jerusat fm = |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1135 |
let |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1136 |
val _ = if (getenv "JERUSAT_HOME") = "" then raise SatSolver.NOT_CONFIGURED else () |
29872
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
1137 |
val serial_str = serial_string () |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
1138 |
val inpath = File.tmp_path (Path.explode ("isabelle" ^ serial_str ^ ".cnf")) |
14e208d607af
Added serial_string to SAT solver input and output files, to prevent multithreading chaos.
blanchet
parents:
22567
diff
changeset
|
1139 |
val outpath = File.tmp_path (Path.explode ("result" ^ serial_str)) |
35011
9e55e87434ff
proper treatment of paths passed to the shell -- to allow spaces in file names as usual;
wenzelm
parents:
35010
diff
changeset
|
1140 |
val cmd = getenv "JERUSAT_HOME" ^ "/Jerusat1.3 " ^ File.shell_path inpath ^ " > " ^ File.shell_path outpath |
41471 | 1141 |
fun writefn fm = SatSolver.write_dimacs_cnf_file inpath (Prop_Logic.defcnf fm) |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1142 |
fun readfn () = SatSolver.read_std_result_file outpath ("s SATISFIABLE", "v ", "s UNSATISFIABLE") |
41944
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
1143 |
val _ = if File.exists inpath then warning ("overwriting existing file " ^ Path.print inpath) else () |
b97091ae583a
Path.print is the official way to show file-system paths to users -- note that Path.implode often indicates violation of the abstract datatype;
wenzelm
parents:
41491
diff
changeset
|
1144 |
val _ = if File.exists outpath then warning ("overwriting existing file " ^ Path.print outpath) else () |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1145 |
val result = SatSolver.make_external_solver cmd writefn readfn fm |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1146 |
val _ = try File.rm inpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1147 |
val _ = try File.rm outpath |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1148 |
in |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1149 |
result |
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1150 |
end |
14965 | 1151 |
in |
22567
1565d476a9e2
removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents:
22220
diff
changeset
|
1152 |
SatSolver.add_solver ("jerusat", jerusat) |
14487
157d0ea7b2da
Installed solvers now determined at call time (as opposed to compile time)
webertj
parents:
14460
diff
changeset
|
1153 |
end; |
14453 | 1154 |