author  blanchet 
Fri, 25 Jun 2010 12:07:52 +0200  
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permissions  rwrr 
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(* Title: HOL/Tools/ATP_Manager/atp_systems.ML 
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Author: Fabian Immler, TU Muenchen 
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Author: Jasmin Blanchette, TU Muenchen 
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Setup for supported ATPs. 
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*) 
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signature ATP_SYSTEMS = 
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sig 
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type prover = ATP_Manager.prover 
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(* hooks for problem files *) 
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val dest_dir : string Config.T 
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val problem_prefix : string Config.T 
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val measure_runtime : bool Config.T 

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val refresh_systems_on_tptp : unit > unit 
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val default_atps_param_value : unit > string 
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val setup : theory > theory 
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end; 
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structure ATP_Systems : ATP_SYSTEMS = 
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struct 
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open Sledgehammer_Util 
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open Sledgehammer_Fact_Preprocessor 
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open Sledgehammer_HOL_Clause 
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open Sledgehammer_Fact_Filter 

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open Sledgehammer_Proof_Reconstruct 

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open Sledgehammer_TPTP_Format 
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open ATP_Manager 
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(** generic ATP **) 
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(* external problem files *) 
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val (dest_dir, dest_dir_setup) = Attrib.config_string "atp_dest_dir" (K ""); 
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(*Empty string means create files in Isabelle's temporary files directory.*) 
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val (problem_prefix, problem_prefix_setup) = 
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Attrib.config_string "atp_problem_prefix" (K "prob"); 
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val (measure_runtime, measure_runtime_setup) = 
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Attrib.config_bool "atp_measure_runtime" (K false); 
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(* prover configuration *) 
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type prover_config = 
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{home_var: string, 
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executable: string, 
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arguments: bool > Time.time > string, 
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proof_delims: (string * string) list, 
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known_failures: (failure * string) list, 
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max_axiom_clauses: int, 
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prefers_theory_relevant: bool}; 
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(* basic template *) 
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val remotify = prefix "remote_" 
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fun with_path cleanup after f path = 
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Exn.capture f path 
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> tap (fn _ => cleanup path) 
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> Exn.release 
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> tap (after path) 
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(* Splits by the first possible of a list of delimiters. *) 
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fun extract_proof delims output = 
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case pairself (find_first (fn s => String.isSubstring s output)) 
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(ListPair.unzip delims) of 
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(SOME begin_delim, SOME end_delim) => 
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(output > first_field begin_delim > the > snd 
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> first_field end_delim > the > fst 

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> first_field "\n" > the > snd 

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handle Option.Option => "") 

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 _ => "" 
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fun extract_proof_and_outcome complete res_code proof_delims known_failures 
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output = 
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case map_filter (fn (failure, pattern) => 
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if String.isSubstring pattern output then SOME failure 
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else NONE) known_failures of 
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[] => (case extract_proof proof_delims output of 
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"" => ("", SOME UnknownError) 
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 proof => if res_code = 0 then (proof, NONE) 
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else ("", SOME UnknownError)) 
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 (failure :: _) => 
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("", SOME (if failure = IncompleteUnprovable andalso complete then 
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Unprovable 
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else 
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failure)) 
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fun string_for_failure Unprovable = "The ATP problem is unprovable." 
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 string_for_failure IncompleteUnprovable = 
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"The ATP cannot prove the problem." 

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 string_for_failure TimedOut = "Timed out." 
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 string_for_failure OutOfResources = "The ATP ran out of resources." 
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 string_for_failure OldSpass = 
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(* FIXME: Change the error message below to point to the Isabelle download 
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page once the package is there (around the Isabelle2010 release). *) 
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"Warning: Sledgehammer requires a more recent version of SPASS with \ 
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\support for the TPTP syntax. To install it, download and untar the \ 
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\package \"http://isabelle.in.tum.de/~blanchet/spass3.7.tgz\" and add the \ 
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\\"spass3.7\" directory's full path to \"" ^ 
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Path.implode (Path.expand (Path.appends 
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(Path.variable "ISABELLE_HOME_USER" :: 
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map Path.basic ["etc", "components"]))) ^ 
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"\" on a line of its own." 
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 string_for_failure MalformedInput = 
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"Internal Sledgehammer error: The ATP problem is malformed. Please report \ 

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\this to the Isabelle developers." 

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 string_for_failure MalformedOutput = "Error: The ATP output is malformed." 
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 string_for_failure UnknownError = "Error: An unknown ATP error occurred." 
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fun shape_of_clauses _ [] = [] 
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 shape_of_clauses j ([] :: clauses) = [] :: shape_of_clauses j clauses 
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 shape_of_clauses j ((_ :: lits) :: clauses) = 
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let val shape = shape_of_clauses (j + 1) (lits :: clauses) in 
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(j :: hd shape) :: tl shape 
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end 
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(* generic TPTPbased provers *) 
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fun generic_tptp_prover 
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(name, {home_var, executable, arguments, proof_delims, known_failures, 
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max_axiom_clauses, prefers_theory_relevant}) 
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({debug, overlord, full_types, explicit_apply, respect_no_atp, 
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relevance_threshold, relevance_convergence, theory_relevant, 
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defs_relevant, isar_proof, isar_shrink_factor, ...} : params) 
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minimize_command timeout 
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({subgoal, goal, relevance_override, axiom_clauses, filtered_clauses} 
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: problem) = 

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let 
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(* get clauses and prepare them for writing *) 
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val (ctxt, (_, th)) = goal; 
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val thy = ProofContext.theory_of ctxt; 
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val goal_clss = #1 (neg_conjecture_clauses ctxt th subgoal) 
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val goal_cls = List.concat goal_clss 
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val the_filtered_clauses = 
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(case filtered_clauses of 
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NONE => relevant_facts full_types respect_no_atp relevance_threshold 
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relevance_convergence defs_relevant max_axiom_clauses 
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(the_default prefers_theory_relevant theory_relevant) 
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relevance_override goal goal_cls 
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 SOME fcls => fcls); 
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val the_axiom_clauses = axiom_clauses > the_default the_filtered_clauses 
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val (internal_thm_names, clauses) = 
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prepare_clauses full_types goal_cls the_axiom_clauses the_filtered_clauses 
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thy 
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(* path to unique problem file *) 
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val the_dest_dir = if overlord then getenv "ISABELLE_HOME_USER" 
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else Config.get ctxt dest_dir; 

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val the_problem_prefix = Config.get ctxt problem_prefix; 

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fun prob_pathname nr = 
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let 
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val probfile = 
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Path.basic ((if overlord then "prob_" ^ name 
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else the_problem_prefix ^ serial_string ()) 
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^ "_" ^ string_of_int nr) 
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in 
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if the_dest_dir = "" then File.tmp_path probfile 
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else if File.exists (Path.explode the_dest_dir) 

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then Path.append (Path.explode the_dest_dir) probfile 

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else error ("No such directory: " ^ the_dest_dir ^ ".") 

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end; 
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val home = getenv home_var 
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val command = Path.explode (home ^ "/" ^ executable) 
31750  172 
(* write out problem file and call prover *) 
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fun command_line complete probfile = 
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let 
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val core = File.shell_path command ^ " " ^ arguments complete timeout ^ 
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" " ^ File.shell_path probfile 
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in 
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(if Config.get ctxt measure_runtime then 
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"TIMEFORMAT='%3U'; { time " ^ core ^ " ; }" 
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else 
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"exec " ^ core) ^ " 2>&1" ^ 
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(if overlord then 
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"  sed 's/,/, /g' \ 
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\ sed 's/\\([^!=<]\\)\\([=]\\)\\([^=>]\\)/\\1 \\2 \\3/g' \ 
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\ sed 's/ / /g'  sed 's/ //g' \ 
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\ sed 's/ = = =/===/g' \ 
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\ sed 's/= = /== /g'" 
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else 
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"") 
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end 
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fun split_time s = 
192 
let 

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val split = String.tokens (fn c => str c = "\n"); 
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val (output, t) = s > split > split_last > apfst cat_lines; 
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fun as_num f = f >> (fst o read_int); 
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val num = as_num (Scan.many1 Symbol.is_ascii_digit); 
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val digit = Scan.one Symbol.is_ascii_digit; 
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val num3 = as_num (digit ::: digit ::: (digit >> single)); 
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val time = num  Scan.$$ "."  num3 >> (fn (a, b) => a * 1000 + b); 
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val as_time = the_default 0 o Scan.read Symbol.stopper time o explode; 
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in (output, as_time t) end; 
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fun run_on probfile = 
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if File.exists command then 
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let 
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fun do_run complete = 
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let 
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val command = command_line complete probfile 
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val ((output, msecs), res_code) = 
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bash_output command 
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>> (if overlord then 
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prefix ("% " ^ command ^ "\n% " ^ timestamp () ^ "\n") 
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else 
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I) 
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>> (if Config.get ctxt measure_runtime then split_time 
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else rpair 0) 
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val (proof, outcome) = 
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extract_proof_and_outcome complete res_code proof_delims 
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known_failures output 
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in (output, msecs, proof, outcome) end 
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val (pool, conjecture_offset) = 
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write_tptp_file (debug andalso overlord) full_types explicit_apply 
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probfile clauses 
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val conjecture_shape = shape_of_clauses (conjecture_offset + 1) goal_clss 
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val result = 
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do_run false 
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> (fn (_, msecs0, _, SOME _) => 
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do_run true 
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> (fn (output, msecs, proof, outcome) => 
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(output, msecs0 + msecs, proof, outcome)) 
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 result => result) 
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in ((pool, conjecture_shape), result) end 
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else if home = "" then 
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error ("The environment variable " ^ quote home_var ^ " is not set.") 
36382  234 
else 
235 
error ("Bad executable: " ^ Path.implode command ^ "."); 

28592  236 

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(* If the problem file has not been exported, remove it; otherwise, export 
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the proof file too. *) 
36376  239 
fun cleanup probfile = 
240 
if the_dest_dir = "" then try File.rm probfile else NONE 

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fun export probfile (_, (output, _, _, _)) = 
36376  242 
if the_dest_dir = "" then 
36187  243 
() 
244 
else 

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File.write (Path.explode (Path.implode probfile ^ "_proof")) output 
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246 

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val ((pool, conjecture_shape), (output, msecs, proof, outcome)) = 
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with_path cleanup export run_on (prob_pathname subgoal) 
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249 

35969  250 
val (message, relevant_thm_names) = 
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case outcome of 
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NONE => 
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proof_text isar_proof 
37480  254 
(pool, debug, isar_shrink_factor, ctxt, conjecture_shape) 
255 
(full_types, minimize_command, proof, internal_thm_names, th, 

256 
subgoal) 

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 SOME failure => (string_for_failure failure ^ "\n", []) 
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in 
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{outcome = outcome, message = message, pool = pool, 
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relevant_thm_names = relevant_thm_names, atp_run_time_in_msecs = msecs, 
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output = output, proof = proof, internal_thm_names = internal_thm_names, 
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conjecture_shape = conjecture_shape, 
35969  263 
filtered_clauses = the_filtered_clauses} 
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264 
end 
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35969  266 
fun tptp_prover name p = (name, generic_tptp_prover (name, p)); 
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36382  268 
fun to_generous_secs time = (Time.toMilliseconds time + 999) div 1000 
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269 

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(* E prover *) 
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val tstp_proof_delims = 
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("# SZS output start CNFRefutation.", "# SZS output end CNFRefutation") 
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35969  275 
val e_config : prover_config = 
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{home_var = "E_HOME", 
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executable = "eproof", 
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arguments = fn _ => fn timeout => 
36382  279 
"tstpin tstpout l5 xAutoDev tAutoDev silent cpulimit=" ^ 
280 
string_of_int (to_generous_secs timeout), 

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proof_delims = [tstp_proof_delims], 
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known_failures = 
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[(Unprovable, "SZS status: Satisfiable"), 
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(Unprovable, "SZS status Satisfiable"), 
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(TimedOut, "Failure: Resource limit exceeded (time)"), 
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(TimedOut, "time limit exceeded"), 
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287 
(OutOfResources, 
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"# Cannot determine problem status within resource limit"), 
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(OutOfResources, "SZS status: ResourceOut"), 
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(OutOfResources, "SZS status ResourceOut")], 
36382  291 
max_axiom_clauses = 100, 
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prefers_theory_relevant = false} 
35969  293 
val e = tptp_prover "e" e_config 
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294 

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295 

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(* The "VarWeight=3" option helps the higherorder problems, probably by 
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297 
counteracting the presence of "hAPP". *) 
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298 
val spass_config : prover_config = 
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299 
{home_var = "SPASS_HOME", 
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executable = "SPASS", 
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(* "div 2" accounts for the fact that SPASS is often run twice. *) 
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arguments = fn complete => fn timeout => 
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("TPTP Auto PGiven=0 PProblem=0 Splits=0 FullRed=0 DocProof \ 
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\VarWeight=3 TimeLimit=" ^ 
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string_of_int (to_generous_secs timeout div 2)) 
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306 
> not complete ? prefix "SOS=1 ", 
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proof_delims = [("Here is a proof", "Formulae used in the proof")], 
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308 
known_failures = 
37413  309 
[(IncompleteUnprovable, "SPASS beiseite: Completion found"), 
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(TimedOut, "SPASS beiseite: Ran out of time"), 
36965  311 
(OutOfResources, "SPASS beiseite: Maximal number of loops exceeded"), 
37413  312 
(MalformedInput, "Undefined symbol"), 
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313 
(MalformedInput, "Free Variable"), 
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314 
(OldSpass, "unrecognized option `TPTP'"), 
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315 
(OldSpass, "Unrecognized option TPTP")], 
36382  316 
max_axiom_clauses = 40, 
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317 
prefers_theory_relevant = true} 
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318 
val spass = tptp_prover "spass" spass_config 
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319 

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320 
(* Vampire *) 
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321 

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322 
val vampire_config : prover_config = 
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323 
{home_var = "VAMPIRE_HOME", 
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324 
executable = "vampire", 
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325 
arguments = fn _ => fn timeout => 
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326 
"output_syntax tptp mode casc t " ^ 
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327 
string_of_int (to_generous_secs timeout), 
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328 
proof_delims = 
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329 
[("=========== Refutation ==========", 
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330 
"======= End of refutation ======="), 
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331 
("% SZS output start Refutation", "% SZS output end Refutation")], 
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332 
known_failures = 
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333 
[(Unprovable, "UNPROVABLE"), 
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334 
(IncompleteUnprovable, "CANNOT PROVE"), 
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335 
(Unprovable, "Satisfiability detected"), 
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336 
(OutOfResources, "Refutation not found")], 
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337 
max_axiom_clauses = 60, 
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338 
prefers_theory_relevant = false} 
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339 
val vampire = tptp_prover "vampire" vampire_config 
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340 

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341 
(* Remote prover invocation via SystemOnTPTP *) 
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342 

36376  343 
val systems = Synchronized.var "atp_systems" ([]: string list); 
31835  344 

345 
fun get_systems () = 

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346 
case bash_output "\"$ISABELLE_ATP_MANAGER/SystemOnTPTP\" w" of 
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347 
(answer, 0) => split_lines answer 
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348 
 (answer, _) => 
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349 
error ("Failed to get available systems at SystemOnTPTP:\n" ^ answer) 
31835  350 

35867  351 
fun refresh_systems_on_tptp () = 
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352 
Synchronized.change systems (fn _ => get_systems ()) 
31835  353 

354 
fun get_system prefix = Synchronized.change_result systems (fn systems => 

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355 
(if null systems then get_systems () else systems) 
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356 
> `(find_first (String.isPrefix prefix))); 
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357 

32948  358 
fun the_system prefix = 
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359 
(case get_system prefix of 
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360 
NONE => error ("System " ^ quote prefix ^ " not available at SystemOnTPTP.") 
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361 
 SOME sys => sys); 
31835  362 

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363 
val remote_known_failures = 
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364 
[(TimedOut, "says Timeout"), 
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365 
(MalformedOutput, "Remote script could not extract proof")] 
35865  366 

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367 
fun remote_config atp_prefix args 
36382  368 
({proof_delims, known_failures, max_axiom_clauses, 
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369 
prefers_theory_relevant, ...} : prover_config) : prover_config = 
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370 
{home_var = "ISABELLE_ATP_MANAGER", 
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371 
executable = "SystemOnTPTP", 
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372 
arguments = fn _ => fn timeout => 
36382  373 
args ^ " t " ^ string_of_int (to_generous_secs timeout) ^ " s " ^ 
374 
the_system atp_prefix, 

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375 
proof_delims = insert (op =) tstp_proof_delims proof_delims, 
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376 
known_failures = remote_known_failures @ known_failures, 
36382  377 
max_axiom_clauses = max_axiom_clauses, 
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378 
prefers_theory_relevant = prefers_theory_relevant} 
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379 

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380 
fun remote_tptp_prover prover atp_prefix args config = 
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381 
tptp_prover (remotify (fst prover)) (remote_config atp_prefix args config) 
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382 

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383 
val remote_e = remote_tptp_prover e "EP" "" e_config 
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384 
val remote_spass = remote_tptp_prover spass "SPASS" "x" spass_config 
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385 
val remote_vampire = remote_tptp_prover vampire "Vampire9" "" vampire_config 
28592  386 

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387 
fun maybe_remote (name, _) ({home_var, ...} : prover_config) = 
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388 
name > getenv home_var = "" ? remotify 
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389 

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390 
fun default_atps_param_value () = 
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391 
space_implode " " [maybe_remote e e_config, maybe_remote spass spass_config, 
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392 
remotify (fst vampire)] 
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393 

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394 
val provers = [e, spass, vampire, remote_e, remote_spass, remote_vampire] 
35867  395 
val prover_setup = fold add_prover provers 
396 

397 
val setup = 

36376  398 
dest_dir_setup 
35867  399 
#> problem_prefix_setup 
400 
#> measure_runtime_setup 

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401 
#> prover_setup 
35867  402 

28592  403 
end; 