author  blanchet 
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changeset 42527  6a9458524f01 
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child 42528  a15f0db2bcaf 
permissions  rwrr 
40114  1 
(* Title: HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML 
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Author: Fabian Immler, TU Muenchen 
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Author: Makarius 
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Author: Jasmin Blanchette, TU Muenchen 
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Translation of HOL to FOL for Sledgehammer. 
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*) 
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40068  9 
signature SLEDGEHAMMER_ATP_TRANSLATE = 
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sig 
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type 'a fo_term = 'a ATP_Problem.fo_term 
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type 'a problem = 'a ATP_Problem.problem 
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type translated_formula 
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datatype type_system = 
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Many_Typed  
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Tags of bool  
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Args of bool  
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Mangled of bool  
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No_Types 
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val fact_prefix : string 
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val conjecture_prefix : string 
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val is_type_system_sound : type_system > bool 
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val type_system_types_dangerous_types : type_system > bool 
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val num_atp_type_args : theory > type_system > string > int 
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val translate_atp_fact : 
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Proof.context > bool > (string * 'a) * thm 
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> translated_formula option * ((string * 'a) * thm) 
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val unmangled_const : string > string * string fo_term list 
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val prepare_atp_problem : 
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Proof.context > bool > type_system > bool > term list > term 
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> (translated_formula option * ((string * 'a) * thm)) list 
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> string problem * string Symtab.table * int * (string * 'a) list vector 
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val atp_problem_weights : string problem > (string * real) list 
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end; 
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structure Sledgehammer_ATP_Translate : SLEDGEHAMMER_ATP_TRANSLATE = 
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struct 
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open ATP_Problem 
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open Metis_Translate 
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open Sledgehammer_Util 
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val fact_prefix = "fact_" 
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val conjecture_prefix = "conj_" 
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val helper_prefix = "help_" 
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val class_rel_clause_prefix = "clrel_"; 
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val arity_clause_prefix = "arity_" 
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val tfree_prefix = "tfree_" 
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(* Freshness almost guaranteed! *) 
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val sledgehammer_weak_prefix = "Sledgehammer:" 
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type translated_formula = 
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{name: string, 
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kind: formula_kind, 
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combformula: (name, combterm) formula, 
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ctypes_sorts: typ list} 
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datatype type_system = 
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Many_Typed  
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Tags of bool  
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Args of bool  
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Mangled of bool  
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No_Types 
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fun is_type_system_sound Many_Typed = true 
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 is_type_system_sound (Tags full_types) = full_types 
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 is_type_system_sound (Args full_types) = full_types 
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 is_type_system_sound (Mangled full_types) = full_types 
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 is_type_system_sound No_Types = false 
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fun type_system_types_dangerous_types (Tags _) = true 
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 type_system_types_dangerous_types type_sys = is_type_system_sound type_sys 
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fun dont_need_type_args type_sys s = 
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member (op =) [@{const_name HOL.eq}, @{const_name Metis.fequal}] s orelse 

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case type_sys of 
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Many_Typed => true 
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 Tags full_types => full_types 

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 Args full_types => full_types 

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 Mangled full_types => full_types 

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 No_Types => true 

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datatype type_arg_policy = No_Type_Args  Explicit_Type_Args  Mangled_Types 
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fun type_arg_policy type_sys s = 
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if dont_need_type_args type_sys s then No_Type_Args 

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else case type_sys of Mangled _ => Mangled_Types  _ => Explicit_Type_Args 

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fun num_atp_type_args thy type_sys s = 
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if type_arg_policy type_sys s = Explicit_Type_Args then num_type_args thy s 
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else 0 

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fun atp_type_literals_for_types type_sys kind Ts = 
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if type_sys = No_Types then 
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[] 
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else 
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Ts > type_literals_for_types 
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> filter (fn TyLitVar _ => kind <> Conjecture 
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 TyLitFree _ => kind = Conjecture) 
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fun mk_anot phi = AConn (ANot, [phi]) 
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fun mk_aconn c phi1 phi2 = AConn (c, [phi1, phi2]) 
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fun mk_ahorn [] phi = phi 
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 mk_ahorn (phi :: phis) psi = 
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AConn (AImplies, [fold (mk_aconn AAnd) phis phi, psi]) 
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fun mk_aquant _ [] phi = phi 
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 mk_aquant q xs (phi as AQuant (q', xs', phi')) = 
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if q = q' then AQuant (q, xs @ xs', phi') else AQuant (q, xs, phi) 
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 mk_aquant q xs phi = AQuant (q, xs, phi) 
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fun close_universally atom_vars phi = 
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let 
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fun formula_vars bounds (AQuant (_, xs, phi)) = 
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formula_vars (map fst xs @ bounds) phi 
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 formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis 
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 formula_vars bounds (AAtom tm) = 
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union (op =) (atom_vars tm [] 
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> filter_out (member (op =) bounds o fst)) 

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in mk_aquant AForall (formula_vars [] phi []) phi end 
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fun combterm_vars (CombApp (ct, cu)) = fold combterm_vars [ct, cu] 
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 combterm_vars (CombConst _) = I 
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 combterm_vars (CombVar (name, _)) = 
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insert (op =) (name, NONE) (* FIXME: TFF *) 

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val close_combformula_universally = close_universally combterm_vars 
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fun term_vars (ATerm (name as (s, _), tms)) = 
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is_atp_variable s ? insert (op =) (name, NONE) (* FIXME: TFF *) 
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#> fold term_vars tms 

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val close_formula_universally = close_universally term_vars 
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fun combformula_for_prop thy eq_as_iff = 
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let 
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fun do_term bs t ts = 
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combterm_from_term thy bs (Envir.eta_contract t) 
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>> AAtom > union (op =) ts 
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fun do_quant bs q s T t' = 
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let val s = Name.variant (map fst bs) s in 
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do_formula ((s, T) :: bs) t' 
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(* FIXME: TFF *) 
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#>> (fn phi => AQuant (q, [(`make_bound_var s, NONE)], phi)) 

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end 
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146 
and do_conn bs c t1 t2 = 
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147 
do_formula bs t1 ##>> do_formula bs t2 
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148 
#>> (fn (phi1, phi2) => AConn (c, [phi1, phi2])) 
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149 
and do_formula bs t = 
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150 
case t of 
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151 
@{const Not} $ t1 => 
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152 
do_formula bs t1 #>> (fn phi => AConn (ANot, [phi])) 
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153 
 Const (@{const_name All}, _) $ Abs (s, T, t') => 
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154 
do_quant bs AForall s T t' 
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155 
 Const (@{const_name Ex}, _) $ Abs (s, T, t') => 
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156 
do_quant bs AExists s T t' 
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157 
 @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd t1 t2 
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158 
 @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr t1 t2 
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159 
 @{const HOL.implies} $ t1 $ t2 => do_conn bs AImplies t1 t2 
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160 
 Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 => 
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161 
if eq_as_iff then do_conn bs AIff t1 t2 else do_term bs t 
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162 
 _ => do_term bs t 
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163 
in do_formula [] end 
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164 

38618  165 
val presimplify_term = prop_of o Meson.presimplify oo Skip_Proof.make_thm 
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166 

41491  167 
fun concealed_bound_name j = sledgehammer_weak_prefix ^ string_of_int j 
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168 
fun conceal_bounds Ts t = 
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169 
subst_bounds (map (Free o apfst concealed_bound_name) 
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170 
(0 upto length Ts  1 ~~ Ts), t) 
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171 
fun reveal_bounds Ts = 
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172 
subst_atomic (map (fn (j, T) => (Free (concealed_bound_name j, T), Bound j)) 
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173 
(0 upto length Ts  1 ~~ Ts)) 
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174 

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175 
(* Removes the lambdas from an equation of the form "t = (%x. u)". 
39890  176 
(Cf. "extensionalize_theorem" in "Meson_Clausify".) *) 
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177 
fun extensionalize_term t = 
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178 
let 
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179 
fun aux j (@{const Trueprop} $ t') = @{const Trueprop} $ aux j t' 
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180 
 aux j (t as Const (s, Type (_, [Type (_, [_, T']), 
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181 
Type (_, [_, res_T])])) 
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182 
$ t2 $ Abs (var_s, var_T, t')) = 
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183 
if s = @{const_name HOL.eq} orelse s = @{const_name "=="} then 
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184 
let val var_t = Var ((var_s, j), var_T) in 
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185 
Const (s, T' > T' > res_T) 
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186 
$ betapply (t2, var_t) $ subst_bound (var_t, t') 
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187 
> aux (j + 1) 
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188 
end 
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189 
else 
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190 
t 
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191 
 aux _ t = t 
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192 
in aux (maxidx_of_term t + 1) t end 
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193 

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194 
fun introduce_combinators_in_term ctxt kind t = 
42361  195 
let val thy = Proof_Context.theory_of ctxt in 
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196 
if Meson.is_fol_term thy t then 
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197 
t 
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198 
else 
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199 
let 
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200 
fun aux Ts t = 
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201 
case t of 
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202 
@{const Not} $ t1 => @{const Not} $ aux Ts t1 
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203 
 (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') => 
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204 
t0 $ Abs (s, T, aux (T :: Ts) t') 
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205 
 (t0 as Const (@{const_name All}, _)) $ t1 => 
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206 
aux Ts (t0 $ eta_expand Ts t1 1) 
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207 
 (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') => 
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208 
t0 $ Abs (s, T, aux (T :: Ts) t') 
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209 
 (t0 as Const (@{const_name Ex}, _)) $ t1 => 
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210 
aux Ts (t0 $ eta_expand Ts t1 1) 
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formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
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211 
 (t0 as @{const HOL.conj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
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212 
 (t0 as @{const HOL.disj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
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213 
 (t0 as @{const HOL.implies}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
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214 
 (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _]))) 
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215 
$ t1 $ t2 => 
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216 
t0 $ aux Ts t1 $ aux Ts t2 
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217 
 _ => if not (exists_subterm (fn Abs _ => true  _ => false) t) then 
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218 
t 
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219 
else 
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220 
t > conceal_bounds Ts 
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221 
> Envir.eta_contract 
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222 
> cterm_of thy 
39890  223 
> Meson_Clausify.introduce_combinators_in_cterm 
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224 
> prop_of > Logic.dest_equals > snd 
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225 
> reveal_bounds Ts 
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226 
val (t, ctxt') = Variable.import_terms true [t] ctxt >> the_single 
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227 
in t > aux [] > singleton (Variable.export_terms ctxt' ctxt) end 
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228 
handle THM _ => 
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229 
(* A type variable of sort "{}" will make abstraction fail. *) 
38613
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230 
if kind = Conjecture then HOLogic.false_const 
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231 
else HOLogic.true_const 
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232 
end 
38282
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233 

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234 
(* Metis's use of "resolve_tac" freezes the schematic variables. We simulate the 
42353
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235 
same in Sledgehammer to prevent the discovery of unreplayable proofs. *) 
38282
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236 
fun freeze_term t = 
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237 
let 
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238 
fun aux (t $ u) = aux t $ aux u 
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239 
 aux (Abs (s, T, t)) = Abs (s, T, aux t) 
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240 
 aux (Var ((s, i), T)) = 
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241 
Free (sledgehammer_weak_prefix ^ s ^ "_" ^ string_of_int i, T) 
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242 
 aux t = t 
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243 
in t > exists_subterm is_Var t ? aux end 
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244 

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standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer  but keep "Axiom" in the lowerlevel "ATP_Problem" module
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245 
(* making fact and conjecture formulas *) 
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246 
fun make_formula ctxt eq_as_iff presimp name kind t = 
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247 
let 
42361  248 
val thy = Proof_Context.theory_of ctxt 
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249 
val t = t > Envir.beta_eta_contract 
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250 
> transform_elim_term 
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251 
> Object_Logic.atomize_term thy 
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252 
val need_trueprop = (fastype_of t = HOLogic.boolT) 
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253 
val t = t > need_trueprop ? HOLogic.mk_Trueprop 
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254 
> extensionalize_term 
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255 
> presimp ? presimplify_term thy 
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256 
> perhaps (try (HOLogic.dest_Trueprop)) 
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257 
> introduce_combinators_in_term ctxt kind 
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258 
> kind <> Axiom ? freeze_term 
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259 
val (combformula, ctypes_sorts) = combformula_for_prop thy eq_as_iff t [] 
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260 
in 
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{name = name, combformula = combformula, kind = kind, 
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ctypes_sorts = ctypes_sorts} 
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end 
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fun make_fact ctxt keep_trivial eq_as_iff presimp ((name, _), th) = 
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case (keep_trivial, 
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make_formula ctxt eq_as_iff presimp name Axiom (prop_of th)) of 
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(false, {combformula = AAtom (CombConst (("c_True", _), _, _)), ...}) => 
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NONE 
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 (_, formula) => SOME formula 
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fun make_conjecture ctxt ts = 
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let val last = length ts  1 in 
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map2 (fn j => make_formula ctxt true true (string_of_int j) 
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(if j = last then Conjecture else Hypothesis)) 
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(0 upto last) ts 
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end 
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(** Helper facts **) 
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fun fold_formula f (AQuant (_, _, phi)) = fold_formula f phi 
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 fold_formula f (AConn (_, phis)) = fold (fold_formula f) phis 
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 fold_formula f (AAtom tm) = f tm 
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fun count_term (ATerm ((s, _), tms)) = 
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(if is_atp_variable s then I 
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else Symtab.map_entry s (Integer.add 1)) 
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#> fold count_term tms 
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fun count_formula x = fold_formula count_term x 
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val init_counters = 
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metis_helpers > map fst > sort_distinct string_ord > map (rpair 0) 
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> Symtab.make 
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fun get_helper_facts ctxt type_sys formulas = 
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let 
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val no_dangerous_types = type_system_types_dangerous_types type_sys 
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val ct = init_counters > fold count_formula formulas 
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fun is_used s = the (Symtab.lookup ct s) > 0 
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fun dub c needs_full_types (th, j) = 
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((c ^ "_" ^ string_of_int j ^ (if needs_full_types then "ft" else ""), 
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false), th) 
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fun make_facts eq_as_iff = map_filter (make_fact ctxt false eq_as_iff false) 
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in 
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(metis_helpers 
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> filter (is_used o fst) 
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> maps (fn (c, (needs_full_types, ths)) => 
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if needs_full_types andalso not no_dangerous_types then 
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[] 
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else 
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ths ~~ (1 upto length ths) 
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> map (dub c needs_full_types) 
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> make_facts (not needs_full_types)), 
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if type_sys = Tags false then 
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let 
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fun var s = ATerm (`I s, []) 
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fun tag tm = ATerm (`I type_tag_name, [var "X", tm]) 
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in 
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[Formula (helper_prefix ^ ascii_of "ti_ti", Axiom, 
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AAtom (ATerm (`I "equal", 
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[tag (tag (var "Y")), tag (var "Y")])) 
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> close_formula_universally, NONE)] 
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end 
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else 
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[]) 
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end 
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fun translate_atp_fact ctxt keep_trivial = 
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`(make_fact ctxt keep_trivial true true) 
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fun translate_formulas ctxt type_sys hyp_ts concl_t rich_facts = 
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let 
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val thy = Proof_Context.theory_of ctxt 
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val fact_ts = map (prop_of o snd o snd) rich_facts 
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val (facts, fact_names) = 
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rich_facts 
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> map_filter (fn (NONE, _) => NONE 
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 (SOME fact, (name, _)) => SOME (fact, name)) 
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> ListPair.unzip 
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(* Remove existing facts from the conjecture, as this can dramatically 
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boost an ATP's performance (for some reason). *) 
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val hyp_ts = hyp_ts > filter_out (member (op aconv) fact_ts) 
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val goal_t = Logic.list_implies (hyp_ts, concl_t) 
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val all_ts = goal_t :: fact_ts 
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val subs = tfree_classes_of_terms all_ts 
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val supers = tvar_classes_of_terms all_ts 
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val tycons = type_consts_of_terms thy all_ts 
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val conjs = make_conjecture ctxt (hyp_ts @ [concl_t]) 
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val (supers', arity_clauses) = 
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if type_sys = No_Types then ([], []) 
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else make_arity_clauses thy tycons supers 
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val class_rel_clauses = make_class_rel_clauses thy subs supers' 
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in 
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(fact_names > map single, (conjs, facts, class_rel_clauses, arity_clauses)) 
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end 
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355 

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fun tag_with_type ty t = ATerm (`I type_tag_name, [ty, t]) 
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357 

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fun fo_term_for_combtyp (CombTVar name) = ATerm (name, []) 
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 fo_term_for_combtyp (CombTFree name) = ATerm (name, []) 
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 fo_term_for_combtyp (CombType (name, tys)) = 
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ATerm (name, map fo_term_for_combtyp tys) 
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362 

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fun fo_literal_for_type_literal (TyLitVar (class, name)) = 
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(true, ATerm (class, [ATerm (name, [])])) 
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 fo_literal_for_type_literal (TyLitFree (class, name)) = 
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(true, ATerm (class, [ATerm (name, [])])) 
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367 

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fun formula_for_fo_literal (pos, t) = AAtom t > not pos ? mk_anot 
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369 

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(* Finite types such as "unit", "bool", "bool * bool", and "bool => bool" are 
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considered dangerous because their "exhaust" properties can easily lead to 
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unsound ATP proofs. The checks below are an (unsound) approximation of 
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finiteness. *) 
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374 

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fun is_dtyp_dangerous _ (Datatype_Aux.DtTFree _) = true 
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 is_dtyp_dangerous ctxt (Datatype_Aux.DtType (s, Us)) = 
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is_type_constr_dangerous ctxt s andalso forall (is_dtyp_dangerous ctxt) Us 
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 is_dtyp_dangerous _ (Datatype_Aux.DtRec _) = false 
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and is_type_dangerous ctxt (Type (s, Ts)) = 
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is_type_constr_dangerous ctxt s andalso forall (is_type_dangerous ctxt) Ts 
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 is_type_dangerous _ _ = false 
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and is_type_constr_dangerous ctxt s = 
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let val thy = Proof_Context.theory_of ctxt in 
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case Datatype_Data.get_info thy s of 
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SOME {descr, ...} => 
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386 
forall (fn (_, (_, _, constrs)) => 
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387 
forall (forall (is_dtyp_dangerous ctxt) o snd) constrs) descr 
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388 
 NONE => 
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389 
case Typedef.get_info ctxt s of 
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390 
({rep_type, ...}, _) :: _ => is_type_dangerous ctxt rep_type 
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391 
 [] => true 
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392 
end 
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393 

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394 
fun is_combtyp_dangerous ctxt (CombType ((s, _), tys)) = 
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395 
(case strip_prefix_and_unascii type_const_prefix s of 
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396 
SOME s' => forall (is_combtyp_dangerous ctxt) tys andalso 
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397 
is_type_constr_dangerous ctxt (invert_const s') 
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398 
 NONE => false) 
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399 
 is_combtyp_dangerous _ _ = false 
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400 

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401 
fun should_tag_with_type ctxt (Tags full_types) ty = 
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402 
full_types orelse is_combtyp_dangerous ctxt ty 
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403 
 should_tag_with_type _ _ _ = false 
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404 

41140
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405 
val fname_table = 
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406 
[("c_False", (0, ("c_fFalse", @{const_name Metis.fFalse}))), 
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407 
("c_True", (0, ("c_fTrue", @{const_name Metis.fTrue}))), 
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408 
("c_Not", (1, ("c_fNot", @{const_name Metis.fNot}))), 
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409 
("c_conj", (2, ("c_fconj", @{const_name Metis.fconj}))), 
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410 
("c_disj", (2, ("c_fdisj", @{const_name Metis.fdisj}))), 
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411 
("c_implies", (2, ("c_fimplies", @{const_name Metis.fimplies}))), 
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412 
("equal", (2, ("c_fequal", @{const_name Metis.fequal})))] 
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413 

42227
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414 
(* We are crossing our fingers that it doesn't clash with anything else. *) 
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415 
val mangled_type_sep = "\000" 
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416 

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417 
fun mangled_combtyp f (CombTFree name) = f name 
42236
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418 
 mangled_combtyp f (CombTVar name) = 
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419 
f name (* FIXME: shouldn't happen *) 
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420 
(* raise Fail "impossible schematic type variable" *) 
42227
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421 
 mangled_combtyp f (CombType (name, tys)) = 
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422 
"(" ^ commas (map (mangled_combtyp f) tys) ^ ")" ^ f name 
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423 

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424 
fun mangled_type_suffix f g tys = 
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425 
fold_rev (curry (op ^) o g o prefix mangled_type_sep o mangled_combtyp f) 
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426 
tys "" 
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427 

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428 
val parse_mangled_ident = 
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429 
Scan.many1 (not o member (op =) ["(", ")", ","]) >> implode 
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430 

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431 
fun parse_mangled_type x = 
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432 
($$ "("  Scan.optional parse_mangled_types []  $$ ")" 
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433 
 parse_mangled_ident >> (ATerm o swap) 
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434 
 parse_mangled_ident >> (ATerm o rpair [])) x 
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435 
and parse_mangled_types x = 
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436 
(parse_mangled_type ::: Scan.repeat ($$ ","  parse_mangled_type)) x 
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437 

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438 
fun unmangled_type s = 
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439 
s > suffix ")" > raw_explode 
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440 
> Scan.finite Symbol.stopper 
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441 
(Scan.error (!! (fn _ => raise Fail ("unrecognized mangled type " ^ 
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442 
quote s)) parse_mangled_type)) 
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443 
> fst 
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444 

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445 
fun unmangled_const s = 
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446 
let val ss = space_explode mangled_type_sep s in 
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447 
(hd ss, map unmangled_type (tl ss)) 
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448 
end 
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449 

41138
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450 
fun fo_term_for_combterm ctxt type_sys = 
38282
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451 
let 
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452 
fun aux top_level u = 
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453 
let 
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454 
val (head, args) = strip_combterm_comb u 
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455 
val (x, ty_args) = 
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456 
case head of 
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457 
CombConst (name as (s, s'), _, ty_args) => 
41140
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458 
(case AList.lookup (op =) fname_table s of 
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added Sledgehammer support for higherorder propositional reasoning
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459 
SOME (n, fname) => 
41150
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parents:
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460 
(if top_level andalso length args = n then 
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parents:
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461 
case s of 
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462 
"c_False" => ("$false", s') 
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parents:
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463 
 "c_True" => ("$true", s') 
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464 
 _ => name 
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465 
else 
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466 
fname, []) 
41140
9c68004b8c9d
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467 
 NONE => 
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added Sledgehammer support for higherorder propositional reasoning
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468 
case strip_prefix_and_unascii const_prefix s of 
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added Sledgehammer support for higherorder propositional reasoning
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diff
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469 
NONE => (name, ty_args) 
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470 
 SOME s'' => 
42227
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471 
let val s'' = invert_const s'' in 
42524  472 
case type_arg_policy type_sys s'' of 
42227
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473 
No_Type_Args => (name, []) 
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474 
 Explicit_Type_Args => (name, ty_args) 
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475 
 Mangled_Types => 
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476 
((s ^ mangled_type_suffix fst ascii_of ty_args, 
662b50b7126f
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changeset

477 
s' ^ mangled_type_suffix snd I ty_args), []) 
662b50b7126f
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changeset

478 
end) 
38282
319c59682c51
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changeset

479 
 CombVar (name, _) => (name, []) 
319c59682c51
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parents:
diff
changeset

480 
 CombApp _ => raise Fail "impossible \"CombApp\"" 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
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diff
changeset

481 
val t = 
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482 
ATerm (x, map fo_term_for_combtyp ty_args @ map (aux false) args) 
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diff
changeset

483 
val ty = combtyp_of u 
38282
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parents:
diff
changeset

484 
in 
41138
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implemented partiallytyped "tags" type encoding
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parents:
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diff
changeset

485 
t > (if should_tag_with_type ctxt type_sys ty then 
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diff
changeset

486 
tag_with_type (fo_term_for_combtyp ty) 
41134  487 
else 
488 
I) 

38282
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diff
changeset

489 
end 
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diff
changeset

490 
in aux true end 
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parents:
diff
changeset

491 

41138
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parents:
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diff
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492 
fun formula_for_combformula ctxt type_sys = 
38282
319c59682c51
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parents:
diff
changeset

493 
let 
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494 
fun aux (AQuant (q, xs, phi)) = AQuant (q, xs, aux phi) 
319c59682c51
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495 
 aux (AConn (c, phis)) = AConn (c, map aux phis) 
41138
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496 
 aux (AAtom tm) = AAtom (fo_term_for_combterm ctxt type_sys tm) 
38282
319c59682c51
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changeset

497 
in aux end 
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parents:
diff
changeset

498 

41138
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implemented partiallytyped "tags" type encoding
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parents:
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diff
changeset

499 
fun formula_for_fact ctxt type_sys 
40204
da97d75e20e6
standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer  but keep "Axiom" in the lowerlevel "ATP_Problem" module
blanchet
parents:
40145
diff
changeset

500 
({combformula, ctypes_sorts, ...} : translated_formula) = 
38282
319c59682c51
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parents:
diff
changeset

501 
mk_ahorn (map (formula_for_fo_literal o fo_literal_for_type_literal) 
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

502 
(atp_type_literals_for_types type_sys Axiom ctypes_sorts)) 
42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

503 
(formula_for_combformula ctxt type_sys 
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

504 
(close_combformula_universally combformula)) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

505 

42180
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

506 
(* Each fact is given a unique fact number to avoid name clashes (e.g., because 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

507 
of monomorphization). The TPTP explicitly forbids name clashes, and some of 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

508 
the remote provers might care. *) 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

509 
fun problem_line_for_fact ctxt prefix type_sys 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

510 
(j, formula as {name, kind, ...}) = 
42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

511 
Formula (prefix ^ string_of_int j ^ "_" ^ ascii_of name, 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

512 
kind, formula_for_fact ctxt type_sys formula, NONE) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

513 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

514 
fun problem_line_for_class_rel_clause (ClassRelClause {name, subclass, 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

515 
superclass, ...}) = 
319c59682c51
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blanchet
parents:
diff
changeset

516 
let val ty_arg = ATerm (("T", "T"), []) in 
42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

517 
Formula (class_rel_clause_prefix ^ ascii_of name, Axiom, 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

518 
AConn (AImplies, [AAtom (ATerm (subclass, [ty_arg])), 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

519 
AAtom (ATerm (superclass, [ty_arg]))]), NONE) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

520 
end 
319c59682c51
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parents:
diff
changeset

521 

319c59682c51
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parents:
diff
changeset

522 
fun fo_literal_for_arity_literal (TConsLit (c, t, args)) = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

523 
(true, ATerm (c, [ATerm (t, map (fn arg => ATerm (arg, [])) args)])) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

524 
 fo_literal_for_arity_literal (TVarLit (c, sort)) = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

525 
(false, ATerm (c, [ATerm (sort, [])])) 
319c59682c51
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parents:
diff
changeset

526 

319c59682c51
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blanchet
parents:
diff
changeset

527 
fun problem_line_for_arity_clause (ArityClause {name, conclLit, premLits, 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

528 
...}) = 
42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

529 
Formula (arity_clause_prefix ^ ascii_of name, Axiom, 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

530 
mk_ahorn (map (formula_for_fo_literal o apfst not 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

531 
o fo_literal_for_arity_literal) premLits) 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

532 
(formula_for_fo_literal 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

533 
(fo_literal_for_arity_literal conclLit)), NONE) 
38282
319c59682c51
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blanchet
parents:
diff
changeset

534 

41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

535 
fun problem_line_for_conjecture ctxt type_sys 
40114  536 
({name, kind, combformula, ...} : translated_formula) = 
42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

537 
Formula (conjecture_prefix ^ name, kind, 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

538 
formula_for_combformula ctxt type_sys 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

539 
(close_combformula_universally combformula), 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

540 
NONE) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

541 

42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

542 
fun free_type_literals type_sys ({ctypes_sorts, ...} : translated_formula) = 
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

543 
ctypes_sorts > atp_type_literals_for_types type_sys Conjecture 
41137
8b634031b2a5
implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents:
41136
diff
changeset

544 
> map fo_literal_for_type_literal 
38282
319c59682c51
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parents:
diff
changeset

545 

39975
7c50d5ca5c04
avoid generating several formulas with the same name ("tfrees")
blanchet
parents:
39954
diff
changeset

546 
fun problem_line_for_free_type j lit = 
42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

547 
Formula (tfree_prefix ^ string_of_int j, Hypothesis, 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

548 
formula_for_fo_literal lit, NONE) 
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

549 
fun problem_lines_for_free_types type_sys facts = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

550 
let 
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

551 
val litss = map (free_type_literals type_sys) facts 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

552 
val lits = fold (union (op =)) litss [] 
39975
7c50d5ca5c04
avoid generating several formulas with the same name ("tfrees")
blanchet
parents:
39954
diff
changeset

553 
in map2 problem_line_for_free_type (0 upto length lits  1) lits end 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

554 

319c59682c51
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blanchet
parents:
diff
changeset

555 
(** "hBOOL" and "hAPP" **) 
319c59682c51
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parents:
diff
changeset

556 

42520  557 
type sym_info = {min_arity: int, max_arity: int, fun_sym: bool} 
38282
319c59682c51
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blanchet
parents:
diff
changeset

558 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

559 
fun consider_term top_level (ATerm ((s, _), ts)) = 
39452  560 
(if is_atp_variable s then 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

561 
I 
319c59682c51
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blanchet
parents:
diff
changeset

562 
else 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

563 
let val n = length ts in 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

564 
Symtab.map_default 
42520  565 
(s, {min_arity = n, max_arity = 0, fun_sym = false}) 
566 
(fn {min_arity, max_arity, fun_sym} => 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

567 
{min_arity = Int.min (n, min_arity), 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

568 
max_arity = Int.max (n, max_arity), 
42520  569 
fun_sym = fun_sym orelse not top_level}) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

570 
end) 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
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parents:
41137
diff
changeset

571 
#> fold (consider_term (top_level andalso s = type_tag_name)) ts 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

572 
fun consider_formula (AQuant (_, _, phi)) = consider_formula phi 
319c59682c51
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parents:
diff
changeset

573 
 consider_formula (AConn (_, phis)) = fold consider_formula phis 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

574 
 consider_formula (AAtom tm) = consider_term true tm 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

575 

42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

576 
fun consider_problem_line (Formula (_, _, phi, _)) = consider_formula phi 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

577 
fun consider_problem problem = fold (fold consider_problem_line o snd) problem 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

578 

41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

579 
(* needed for helper facts if the problem otherwise does not involve equality *) 
42520  580 
val equal_entry = ("equal", {min_arity = 2, max_arity = 2, fun_sym = false}) 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

581 

42520  582 
fun sym_table_for_problem explicit_apply problem = 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

583 
if explicit_apply then 
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

584 
NONE 
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

585 
else 
42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

586 
SOME (Symtab.empty > Symtab.default equal_entry 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

587 
> consider_problem problem) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

588 

41134  589 
fun min_arity_of thy type_sys NONE s = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

590 
(if s = "equal" orelse s = type_tag_name orelse 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

591 
String.isPrefix type_const_prefix s orelse 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

592 
String.isPrefix class_prefix s then 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

593 
16383 (* large number *) 
38748  594 
else case strip_prefix_and_unascii const_prefix s of 
42524  595 
SOME s' => s' > unmangled_const > fst > invert_const 
596 
> num_atp_type_args thy type_sys 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

597 
 NONE => 0) 
42520  598 
 min_arity_of _ _ (SOME sym_tab) s = 
599 
case Symtab.lookup sym_tab s of 

600 
SOME ({min_arity, ...} : sym_info) => min_arity 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

601 
 NONE => 0 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

602 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

603 
fun full_type_of (ATerm ((s, _), [ty, _])) = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

604 
if s = type_tag_name then SOME ty else NONE 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

605 
 full_type_of _ = NONE 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

606 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

607 
fun list_hAPP_rev _ t1 [] = t1 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

608 
 list_hAPP_rev NONE t1 (t2 :: ts2) = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

609 
ATerm (`I "hAPP", [list_hAPP_rev NONE t1 ts2, t2]) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

610 
 list_hAPP_rev (SOME ty) t1 (t2 :: ts2) = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

611 
case full_type_of t2 of 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

612 
SOME ty2 => 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

613 
let val ty' = ATerm (`make_fixed_type_const @{type_name fun}, 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

614 
[ty2, ty]) in 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

615 
ATerm (`I "hAPP", 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

616 
[tag_with_type ty' (list_hAPP_rev (SOME ty') t1 ts2), t2]) 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

617 
end 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

618 
 NONE => list_hAPP_rev NONE t1 (t2 :: ts2) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

619 

42520  620 
fun repair_applications_in_term thy type_sys sym_tab = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

621 
let 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

622 
fun aux opt_ty (ATerm (name as (s, _), ts)) = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

623 
if s = type_tag_name then 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

624 
case ts of 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

625 
[t1, t2] => ATerm (name, [aux NONE t1, aux (SOME t1) t2]) 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

626 
 _ => raise Fail "malformed type tag" 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

627 
else 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

628 
let 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

629 
val ts = map (aux NONE) ts 
42520  630 
val (ts1, ts2) = chop (min_arity_of thy type_sys sym_tab s) ts 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

631 
in list_hAPP_rev opt_ty (ATerm (name, ts1)) (rev ts2) end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

632 
in aux NONE end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

633 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

634 
fun boolify t = ATerm (`I "hBOOL", [t]) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

635 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

636 
(* True if the constant ever appears outside of the toplevel position in 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

637 
literals, or if it appears with different arities (e.g., because of different 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

638 
type instantiations). If false, the constant always receives all of its 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

639 
arguments and is used as a predicate. *) 
42520  640 
fun is_pred_sym NONE s = 
38589
b03f8fe043ec
added "max_relevant_per_iter" option to Sledgehammer
blanchet
parents:
38518
diff
changeset

641 
s = "equal" orelse s = "$false" orelse s = "$true" orelse 
b03f8fe043ec
added "max_relevant_per_iter" option to Sledgehammer
blanchet
parents:
38518
diff
changeset

642 
String.isPrefix type_const_prefix s orelse String.isPrefix class_prefix s 
42520  643 
 is_pred_sym (SOME sym_tab) s = 
644 
case Symtab.lookup sym_tab s of 

645 
SOME {min_arity, max_arity, fun_sym} => 

646 
not fun_sym andalso min_arity = max_arity 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

647 
 NONE => false 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

648 

42520  649 
fun repair_predicates_in_term pred_sym_tab (t as ATerm ((s, _), ts)) = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

650 
if s = type_tag_name then 
38282
319c59682c51
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blanchet
parents:
diff
changeset

651 
case ts of 
319c59682c51
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blanchet
parents:
diff
changeset

652 
[_, t' as ATerm ((s', _), _)] => 
42520  653 
if is_pred_sym pred_sym_tab s' then t' else boolify t 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

654 
 _ => raise Fail "malformed type tag" 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

655 
else 
42520  656 
t > not (is_pred_sym pred_sym_tab s) ? boolify 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

657 

42521
02df3b78a438
get rid of "explicit_forall" proverspecific option, even if that means some clutter  foralls will be necessary to attach types to variables
blanchet
parents:
42520
diff
changeset

658 
fun repair_formula thy type_sys sym_tab = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

659 
let 
42520  660 
val pred_sym_tab = case type_sys of Tags _ => NONE  _ => sym_tab 
38282
319c59682c51
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blanchet
parents:
diff
changeset

661 
fun aux (AQuant (q, xs, phi)) = AQuant (q, xs, aux phi) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset

662 
 aux (AConn (c, phis)) = AConn (c, map aux phis) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

663 
 aux (AAtom tm) = 
42520  664 
AAtom (tm > repair_applications_in_term thy type_sys sym_tab 
665 
> repair_predicates_in_term pred_sym_tab) 

42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

666 
in aux #> close_formula_universally end 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

667 

42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

668 
fun repair_problem_line thy type_sys sym_tab 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

669 
(Formula (ident, kind, phi, source)) = 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

670 
Formula (ident, kind, repair_formula thy type_sys sym_tab phi, source) 
42521
02df3b78a438
get rid of "explicit_forall" proverspecific option, even if that means some clutter  foralls will be necessary to attach types to variables
blanchet
parents:
42520
diff
changeset

671 
fun repair_problem thy = map o apsnd o map oo repair_problem_line thy 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

672 

41157  673 
val factsN = "Relevant facts" 
674 
val class_relsN = "Class relationships" 

675 
val aritiesN = "Arity declarations" 

676 
val helpersN = "Helper facts" 

677 
val conjsN = "Conjectures" 

41313
a96ac4d180b7
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parents:
41211
diff
changeset

678 
val free_typesN = "Type variables" 
41157  679 

680 
fun offset_of_heading_in_problem _ [] j = j 

681 
 offset_of_heading_in_problem needle ((heading, lines) :: problem) j = 

682 
if heading = needle then j 

683 
else offset_of_heading_in_problem needle problem (j + length lines) 

684 

42521
02df3b78a438
get rid of "explicit_forall" proverspecific option, even if that means some clutter  foralls will be necessary to attach types to variables
blanchet
parents:
42520
diff
changeset

685 
fun prepare_atp_problem ctxt readable_names type_sys explicit_apply hyp_ts 
02df3b78a438
get rid of "explicit_forall" proverspecific option, even if that means some clutter  foralls will be necessary to attach types to variables
blanchet
parents:
42520
diff
changeset

686 
concl_t facts = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

687 
let 
42361  688 
val thy = Proof_Context.theory_of ctxt 
41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

689 
val (fact_names, (conjs, facts, class_rel_clauses, arity_clauses)) = 
41134  690 
translate_formulas ctxt type_sys hyp_ts concl_t facts 
42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

691 
(* Reordering these might confuse the proof reconstruction code or the SPASS 
413b56894f82
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blanchet
parents:
42521
diff
changeset

692 
Flotter hack. *) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

693 
val problem = 
42180
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

694 
[(factsN, map (problem_line_for_fact ctxt fact_prefix type_sys) 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

695 
(0 upto length facts  1 ~~ facts)), 
41157  696 
(class_relsN, map problem_line_for_class_rel_clause class_rel_clauses), 
697 
(aritiesN, map problem_line_for_arity_clause arity_clauses), 

698 
(helpersN, []), 

41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

699 
(conjsN, map (problem_line_for_conjecture ctxt type_sys) conjs), 
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

700 
(free_typesN, problem_lines_for_free_types type_sys (facts @ conjs))] 
42520  701 
val sym_tab = sym_table_for_problem explicit_apply problem 
42521
02df3b78a438
get rid of "explicit_forall" proverspecific option, even if that means some clutter  foralls will be necessary to attach types to variables
blanchet
parents:
42520
diff
changeset

702 
val problem = problem > repair_problem thy type_sys sym_tab 
02df3b78a438
get rid of "explicit_forall" proverspecific option, even if that means some clutter  foralls will be necessary to attach types to variables
blanchet
parents:
42520
diff
changeset

703 
val helper_facts = 
42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

704 
problem > maps (map (fn Formula (_, _, phi, _) => phi) o snd) 
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

705 
> get_helper_facts ctxt type_sys 
41157  706 
val helper_lines = 
42521
02df3b78a438
get rid of "explicit_forall" proverspecific option, even if that means some clutter  foralls will be necessary to attach types to variables
blanchet
parents:
42520
diff
changeset

707 
helper_facts 
42180
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

708 
>> map (pair 0 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

709 
#> problem_line_for_fact ctxt helper_prefix type_sys 
42521
02df3b78a438
get rid of "explicit_forall" proverspecific option, even if that means some clutter  foralls will be necessary to attach types to variables
blanchet
parents:
42520
diff
changeset

710 
#> repair_problem_line thy type_sys sym_tab) 
41157  711 
> op @ 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

712 
val (problem, pool) = 
41157  713 
problem > AList.update (op =) (helpersN, helper_lines) 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

714 
> nice_atp_problem readable_names 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

715 
in 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

716 
(problem, 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

717 
case pool of SOME the_pool => snd the_pool  NONE => Symtab.empty, 
41157  718 
offset_of_heading_in_problem conjsN problem 0, 
719 
fact_names > Vector.fromList) 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

720 
end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

721 

41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

722 
(* FUDGE *) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

723 
val conj_weight = 0.0 
41770  724 
val hyp_weight = 0.1 
725 
val fact_min_weight = 0.2 

41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

726 
val fact_max_weight = 1.0 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

727 

a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

728 
fun add_term_weights weight (ATerm (s, tms)) = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

729 
(not (is_atp_variable s) andalso s <> "equal") ? Symtab.default (s, weight) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

730 
#> fold (add_term_weights weight) tms 
42527
6a9458524f01
reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents:
42526
diff
changeset

731 
fun add_problem_line_weights weight (Formula (_, _, phi, _)) = 
41384  732 
fold_formula (add_term_weights weight) phi 
41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

733 

a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

734 
fun add_conjectures_weights [] = I 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

735 
 add_conjectures_weights conjs = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

736 
let val (hyps, conj) = split_last conjs in 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

737 
add_problem_line_weights conj_weight conj 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

738 
#> fold (add_problem_line_weights hyp_weight) hyps 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

739 
end 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

740 

a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

741 
fun add_facts_weights facts = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

742 
let 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

743 
val num_facts = length facts 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

744 
fun weight_of j = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

745 
fact_min_weight + (fact_max_weight  fact_min_weight) * Real.fromInt j 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

746 
/ Real.fromInt num_facts 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

747 
in 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

748 
map weight_of (0 upto num_facts  1) ~~ facts 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

749 
> fold (uncurry add_problem_line_weights) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

750 
end 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

751 

a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

752 
(* Weights are from 0.0 (most important) to 1.0 (least important). *) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

753 
fun atp_problem_weights problem = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

754 
Symtab.empty 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

755 
> add_conjectures_weights (these (AList.lookup (op =) problem conjsN)) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

756 
> add_facts_weights (these (AList.lookup (op =) problem factsN)) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

757 
> Symtab.dest 
41726  758 
> sort (prod_ord Real.compare string_ord o pairself swap) 
41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

759 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

760 
end; 