author  blanchet 
Tue, 26 Oct 2010 10:57:04 +0200  
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parent 39962  d42ddd7407ca 
child 40157  a2f01956220e 
permissions  rwrr 
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(* Title: HOL/Tools/Metis/metis_translate.ML 
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Author: Jia Meng, Cambridge University Computer Laboratory and NICTA 
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Author: Kong W. Susanto, Cambridge University Computer Laboratory 
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Author: Lawrence C. Paulson, Cambridge University Computer Laboratory 
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Author: Jasmin Blanchette, TU Muenchen 
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Translation of HOL to FOL for Metis. 
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*) 
9 

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signature METIS_TRANSLATE = 
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sig 
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type name = string * string 
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datatype type_literal = 
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TyLitVar of name * name  
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TyLitFree of name * name 
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datatype arLit = 
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TConsLit of name * name * name list  
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TVarLit of name * name 
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datatype arity_clause = 
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ArityClause of {name: string, conclLit: arLit, premLits: arLit list} 
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datatype class_rel_clause = 
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ClassRelClause of {name: string, subclass: name, superclass: name} 
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datatype combtyp = 
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CombTVar of name  
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CombTFree of name  

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CombType of name * combtyp list 

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datatype combterm = 
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CombConst of name * combtyp * combtyp list (* Const and Free *)  
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CombVar of name * combtyp  
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CombApp of combterm * combterm 
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datatype fol_literal = FOLLiteral of bool * combterm 
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datatype mode = FO  HO  FT 
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type logic_map = 
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{axioms: (Metis_Thm.thm * thm) list, 
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tfrees: type_literal list, 
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old_skolems: (string * term) list} 
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val type_wrapper_name : string 
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val bound_var_prefix : string 
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val schematic_var_prefix: string 
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val fixed_var_prefix: string 

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val tvar_prefix: string 

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val tfree_prefix: string 

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val const_prefix: string 

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val type_const_prefix: string 
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val class_prefix: string 
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val new_skolem_const_prefix : string 
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val invert_const: string > string 
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val ascii_of: string > string 
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val unascii_of: string > string 
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val strip_prefix_and_unascii: string > string > string option 

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val make_bound_var : string > string 
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val make_schematic_var : string * int > string 
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val make_fixed_var : string > string 
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val make_schematic_type_var : string * int > string 

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val make_fixed_type_var : string > string 
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val make_fixed_const : string > string 
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val make_fixed_type_const : string > string 
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val make_type_class : string > string 
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val num_type_args: theory > string > int 
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val new_skolem_var_from_const: string > indexname 
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val type_literals_for_types : typ list > type_literal list 
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val make_class_rel_clauses : 
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theory > class list > class list > class_rel_clause list 

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val make_arity_clauses : 

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theory > string list > class list > class list * arity_clause list 

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val combtyp_of : combterm > combtyp 
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val strip_combterm_comb : combterm > combterm * combterm list 
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val combterm_from_term : 
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theory > (string * typ) list > term > combterm * typ list 
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val reveal_old_skolem_terms : (string * term) list > term > term 
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val tfree_classes_of_terms : term list > string list 
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val tvar_classes_of_terms : term list > string list 
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val type_consts_of_terms : theory > term list > string list 
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val string_of_mode : mode > string 
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val build_logic_map : 
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mode > Proof.context > bool > thm list > thm list list 
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> mode * logic_map 
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end 
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structure Metis_Translate : METIS_TRANSLATE = 
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struct 
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val type_wrapper_name = "ti" 
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val bound_var_prefix = "B_" 
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val schematic_var_prefix = "V_" 
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val fixed_var_prefix = "v_" 
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val tvar_prefix = "T_"; 
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val tfree_prefix = "t_"; 
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val const_prefix = "c_"; 
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val type_const_prefix = "tc_"; 
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val class_prefix = "class_"; 
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val skolem_const_prefix = "Sledgehammer" ^ Long_Name.separator ^ "Sko" 
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val old_skolem_const_prefix = skolem_const_prefix ^ "o" 
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val new_skolem_const_prefix = skolem_const_prefix ^ "n" 
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fun union_all xss = fold (union (op =)) xss [] 
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(* Readable names for the more common symbolic functions. Do not mess with the 
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last nine entries of the table unless you know what you are doing. *) 
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val const_trans_table = 
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Symtab.make [(@{type_name Product_Type.prod}, "prod"), 
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(@{type_name Sum_Type.sum}, "sum"), 
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(@{const_name HOL.eq}, "equal"), 
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(@{const_name HOL.conj}, "and"), 
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(@{const_name HOL.disj}, "or"), 
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(@{const_name HOL.implies}, "implies"), 
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(@{const_name Set.member}, "member"), 
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(@{const_name Metis.fequal}, "fequal"), 
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(@{const_name Meson.COMBI}, "COMBI"), 
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(@{const_name Meson.COMBK}, "COMBK"), 
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(@{const_name Meson.COMBB}, "COMBB"), 
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(@{const_name Meson.COMBC}, "COMBC"), 
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(@{const_name Meson.COMBS}, "COMBS"), 
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(@{const_name True}, "True"), 
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(@{const_name False}, "False"), 
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(@{const_name If}, "If")] 
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(* Invert the table of translations between Isabelle and ATPs. *) 
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val const_trans_table_inv = 
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Symtab.update ("fequal", @{const_name HOL.eq}) 
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(Symtab.make (map swap (Symtab.dest const_trans_table))) 
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val invert_const = perhaps (Symtab.lookup const_trans_table_inv) 
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(*Escaping of special characters. 
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Alphanumeric characters are left unchanged. 

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The character _ goes to __ 

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Characters in the range ASCII space to / go to _A to _P, respectively. 

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Other characters go to _nnn where nnn is the decimal ASCII code.*) 
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val A_minus_space = Char.ord #"A"  Char.ord #" "; 
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fun stringN_of_int 0 _ = "" 
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 stringN_of_int k n = stringN_of_int (k1) (n div 10) ^ Int.toString (n mod 10); 

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fun ascii_of_c c = 
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if Char.isAlphaNum c then String.str c 
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else if c = #"_" then "__" 

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else if #" " <= c andalso c <= #"/" 
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then "_" ^ String.str (Char.chr (Char.ord c + A_minus_space)) 
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else ("_" ^ stringN_of_int 3 (Char.ord c)) (*fixed width, in case more digits follow*) 
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val ascii_of = String.translate ascii_of_c; 
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(** Remove ASCII armouring from names in proof files **) 
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(*We don't raise error exceptions because this code can run inside the watcher. 

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Also, the errors are "impossible" (hah!)*) 

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fun unascii_aux rcs [] = String.implode(rev rcs) 
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 unascii_aux rcs [#"_"] = unascii_aux (#"_"::rcs) [] (*ERROR*) 

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(*Three types of _ escapes: __, _A to _P, _nnn*) 
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 unascii_aux rcs (#"_" :: #"_" :: cs) = unascii_aux (#"_"::rcs) cs 
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 unascii_aux rcs (#"_" :: c :: cs) = 

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if #"A" <= c andalso c<= #"P" (*translation of #" " to #"/"*) 
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then unascii_aux (Char.chr(Char.ord c  A_minus_space) :: rcs) cs 
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else 
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let val digits = List.take (c::cs, 3) handle Subscript => [] 
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in 
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case Int.fromString (String.implode digits) of 
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NONE => unascii_aux (c:: #"_"::rcs) cs (*ERROR*) 
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 SOME n => unascii_aux (Char.chr n :: rcs) (List.drop (cs, 2)) 

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end 
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 unascii_aux rcs (c::cs) = unascii_aux (c::rcs) cs 
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val unascii_of = unascii_aux [] o String.explode 

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(* If string s has the prefix s1, return the result of deleting it, 
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unASCII'd. *) 
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fun strip_prefix_and_unascii s1 s = 
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if String.isPrefix s1 s then 
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SOME (unascii_of (String.extract (s, size s1, NONE))) 
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else 
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NONE 
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(*Remove the initial ' character from a type variable, if it is present*) 
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fun trim_type_var s = 
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if s <> "" andalso String.sub(s,0) = #"'" then String.extract(s,1,NONE) 
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else error ("trim_type: Malformed type variable encountered: " ^ s); 
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fun ascii_of_indexname (v,0) = ascii_of v 
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 ascii_of_indexname (v,i) = ascii_of v ^ "_" ^ Int.toString i; 
15347  186 

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fun make_bound_var x = bound_var_prefix ^ ascii_of x 
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fun make_schematic_var v = schematic_var_prefix ^ ascii_of_indexname v 
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fun make_fixed_var x = fixed_var_prefix ^ ascii_of x 
15347  190 

24310  191 
fun make_schematic_type_var (x,i) = 
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tvar_prefix ^ (ascii_of_indexname (trim_type_var x,i)); 
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fun make_fixed_type_var x = tfree_prefix ^ (ascii_of (trim_type_var x)); 
15347  194 

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fun lookup_const c = 
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case Symtab.lookup const_trans_table c of 
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SOME c' => c' 
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 NONE => ascii_of c 
23075  199 

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(* HOL.eq MUST BE "equal" because it's built into ATPs. *) 
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fun make_fixed_const @{const_name HOL.eq} = "equal" 
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 make_fixed_const c = const_prefix ^ lookup_const c 
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203 

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fun make_fixed_type_const c = type_const_prefix ^ lookup_const c 
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17261  206 
fun make_type_class clas = class_prefix ^ ascii_of clas; 
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207 

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(* The number of type arguments of a constant, zero if it's monomorphic. For 
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(instances of) Skolem pseudoconstants, this information is encoded in the 
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constant name. *) 
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fun num_type_args thy s = 
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if String.isPrefix skolem_const_prefix s then 
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s > space_explode Long_Name.separator > List.last > Int.fromString > the 
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else 
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(s, Sign.the_const_type thy s) > Sign.const_typargs thy > length 
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216 

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fun new_skolem_var_from_const s = 
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let val ss = s > space_explode Long_Name.separator in 
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(nth ss (length ss  2), 0) 
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end 
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221 

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37624  223 
(**** Definitions and functions for FOL clauses for TPTP format output ****) 
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37624  225 
type name = string * string 
15347  226 

227 
(**** Isabelle FOL clauses ****) 

228 

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(* The first component is the type class; the second is a TVar or TFree. *) 
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datatype type_literal = 
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TyLitVar of name * name  
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TyLitFree of name * name 
15347  233 

24310  234 
(*Make literals for sorted type variables*) 
24940  235 
fun sorts_on_typs_aux (_, []) = [] 
236 
 sorts_on_typs_aux ((x,i), s::ss) = 

237 
let val sorts = sorts_on_typs_aux ((x,i), ss) 

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in 
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if s = "HOL.type" then sorts 
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else if i = ~1 then TyLitFree (`make_type_class s, `make_fixed_type_var x) :: sorts 
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else TyLitVar (`make_type_class s, (make_schematic_type_var (x,i), x)) :: sorts 
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end; 
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24940  244 
fun sorts_on_typs (TFree (a,s)) = sorts_on_typs_aux ((a,~1),s) 
245 
 sorts_on_typs (TVar (v,s)) = sorts_on_typs_aux (v,s); 

246 

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(*Given a list of sorted type variables, return a list of type literals.*) 
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fun type_literals_for_types Ts = 
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fold (union (op =)) (map sorts_on_typs Ts) [] 
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250 

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(** make axiom and conjecture clauses. **) 
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15347  253 
(**** Isabelle arities ****) 
254 

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datatype arLit = 
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TConsLit of name * name * name list  
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TVarLit of name * name 
24310  258 

35865  259 
datatype arity_clause = 
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ArityClause of {name: string, conclLit: arLit, premLits: arLit list} 
15347  261 

262 

18798  263 
fun gen_TVars 0 = [] 
264 
 gen_TVars n = ("T_" ^ Int.toString n) :: gen_TVars (n1); 

15347  265 

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fun pack_sort(_,[]) = [] 
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 pack_sort(tvar, "HOL.type"::srt) = pack_sort (tvar, srt) (*IGNORE sort "type"*) 
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 pack_sort(tvar, cls::srt) = 
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(`make_type_class cls, (tvar, tvar)) :: pack_sort (tvar, srt) 
24310  270 

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(*Arity of type constructor tcon :: (arg1,...,argN)res*) 
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fun make_axiom_arity_clause (tcons, name, (cls,args)) = 
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let 
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val tvars = gen_TVars (length args) 
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val tvars_srts = ListPair.zip (tvars, args) 
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in 
39318  277 
ArityClause {name = name, 
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conclLit = TConsLit (`make_type_class cls, 
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`make_fixed_type_const tcons, 
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tvars ~~ tvars), 
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premLits = map TVarLit (union_all (map pack_sort tvars_srts))} 
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end 
15347  283 

284 

285 
(**** Isabelle class relations ****) 

286 

37925  287 
datatype class_rel_clause = 
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ClassRelClause of {name: string, subclass: name, superclass: name} 
24310  289 

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(*Generate all pairs (sub,super) such that sub is a proper subclass of super in theory thy.*) 
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fun class_pairs _ [] _ = [] 
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 class_pairs thy subs supers = 
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293 
let 
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val class_less = Sorts.class_less (Sign.classes_of thy) 
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fun add_super sub super = class_less (sub, super) ? cons (sub, super) 
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fun add_supers sub = fold (add_super sub) supers 
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in fold add_supers subs [] end 
15347  298 

37925  299 
fun make_class_rel_clause (sub,super) = 
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ClassRelClause {name = sub ^ "_" ^ super, 
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subclass = `make_type_class sub, 
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superclass = `make_type_class super} 
15347  303 

37925  304 
fun make_class_rel_clauses thy subs supers = 
305 
map make_class_rel_clause (class_pairs thy subs supers); 

18868  306 

307 

308 
(** Isabelle arities **) 

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309 

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310 
fun arity_clause _ _ (_, []) = [] 
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 arity_clause seen n (tcons, ("HOL.type",_)::ars) = (*ignore*) 
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arity_clause seen n (tcons,ars) 
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 arity_clause seen n (tcons, (ar as (class,_)) :: ars) = 
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if member (op =) seen class then (*multiple arities for the same tycon, class pair*) 
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make_axiom_arity_clause (tcons, lookup_const tcons ^ "_" ^ class ^ "_" ^ Int.toString n, ar) :: 
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arity_clause seen (n+1) (tcons,ars) 
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else 
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make_axiom_arity_clause (tcons, lookup_const tcons ^ "_" ^ class, ar) :: 
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arity_clause (class::seen) n (tcons,ars) 
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320 

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321 
fun multi_arity_clause [] = [] 
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 multi_arity_clause ((tcons, ars) :: tc_arlists) = 
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arity_clause [] 1 (tcons, ars) @ multi_arity_clause tc_arlists 
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324 

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(*Generate all pairs (tycon,class,sorts) such that tycon belongs to class in theory thy 
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326 
provided its arguments have the corresponding sorts.*) 
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fun type_class_pairs thy tycons classes = 
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let val alg = Sign.classes_of thy 
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fun domain_sorts tycon = Sorts.mg_domain alg tycon o single 
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fun add_class tycon class = 
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cons (class, domain_sorts tycon class) 
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handle Sorts.CLASS_ERROR _ => I 
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fun try_classes tycon = (tycon, fold (add_class tycon) classes []) 
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in map try_classes tycons end; 
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335 

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(*Proving one (tycon, class) membership may require proving others, so iterate.*) 
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fun iter_type_class_pairs _ _ [] = ([], []) 
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338 
 iter_type_class_pairs thy tycons classes = 
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339 
let val cpairs = type_class_pairs thy tycons classes 
33040  340 
val newclasses = union_all (union_all (union_all (map (map #2 o #2) cpairs))) 
341 
> subtract (op =) classes > subtract (op =) HOLogic.typeS 

24310  342 
val (classes', cpairs') = iter_type_class_pairs thy tycons newclasses 
33042  343 
in (union (op =) classes' classes, union (op =) cpairs' cpairs) end; 
24310  344 

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345 
fun make_arity_clauses thy tycons classes = 
24310  346 
let val (classes', cpairs) = iter_type_class_pairs thy tycons classes 
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347 
in (classes', multi_arity_clause cpairs) end; 
18863  348 

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349 
datatype combtyp = 
37924  350 
CombTVar of name  
351 
CombTFree of name  

352 
CombType of name * combtyp list 

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353 

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354 
datatype combterm = 
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355 
CombConst of name * combtyp * combtyp list (* Const and Free *)  
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356 
CombVar of name * combtyp  
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357 
CombApp of combterm * combterm 
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358 

37923  359 
datatype fol_literal = FOLLiteral of bool * combterm 
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360 

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361 
(*********************************************************************) 
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362 
(* convert a clause with type Term.term to a clause with type clause *) 
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363 
(*********************************************************************) 
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364 

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365 
(*Result of a function type; no need to check that the argument type matches.*) 
37924  366 
fun result_type (CombType (_, [_, tp2])) = tp2 
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367 
 result_type _ = raise Fail "nonfunction type" 
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368 

37994
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369 
fun combtyp_of (CombConst (_, tp, _)) = tp 
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370 
 combtyp_of (CombVar (_, tp)) = tp 
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371 
 combtyp_of (CombApp (t1, _)) = result_type (combtyp_of t1) 
37577
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372 

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373 
(*gets the head of a combinator application, along with the list of arguments*) 
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374 
fun strip_combterm_comb u = 
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375 
let fun stripc (CombApp(t,u), ts) = stripc (t, u::ts) 
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376 
 stripc x = x 
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377 
in stripc(u,[]) end 
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378 

39497
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379 
fun combtype_of (Type (a, Ts)) = 
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380 
let val (folTypes, ts) = combtypes_of Ts in 
37924  381 
(CombType (`make_fixed_type_const a, folTypes), ts) 
37577
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382 
end 
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383 
 combtype_of (tp as TFree (a, _)) = (CombTFree (`make_fixed_type_var a), [tp]) 
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384 
 combtype_of (tp as TVar (x, _)) = 
37924  385 
(CombTVar (make_schematic_type_var x, string_of_indexname x), [tp]) 
39497
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386 
and combtypes_of Ts = 
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387 
let val (folTyps, ts) = ListPair.unzip (map combtype_of Ts) in 
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388 
(folTyps, union_all ts) 
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389 
end 
37577
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390 

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391 
(* same as above, but no gathering of sort information *) 
39497
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changeset

392 
fun simple_combtype_of (Type (a, Ts)) = 
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393 
CombType (`make_fixed_type_const a, map simple_combtype_of Ts) 
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394 
 simple_combtype_of (TFree (a, _)) = CombTFree (`make_fixed_type_var a) 
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395 
 simple_combtype_of (TVar (x, _)) = 
37924  396 
CombTVar (make_schematic_type_var x, string_of_indexname x) 
37577
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397 

40145
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398 
fun new_skolem_const_name s num_T_args = 
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changeset

399 
[new_skolem_const_prefix, s, string_of_int num_T_args] 
39886
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400 
> space_implode Long_Name.separator 
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401 

40145
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402 
(* Converts a term (with combinators) into a combterm. Also accumulates sort 
37995
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403 
infomation. *) 
40145
04a05b2a7a36
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404 
fun combterm_from_term thy bs (P $ Q) = 
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405 
let 
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406 
val (P', tsP) = combterm_from_term thy bs P 
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407 
val (Q', tsQ) = combterm_from_term thy bs Q 
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408 
in (CombApp (P', Q'), union (op =) tsP tsQ) end 
04a05b2a7a36
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changeset

409 
 combterm_from_term thy _ (Const (c, T)) = 
37577
5379f41a1322
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changeset

410 
let 
39497
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changeset

411 
val (tp, ts) = combtype_of T 
37577
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changeset

412 
val tvar_list = 
39896
13b3a2ba9ea7
encode axiom number and cluster number in all zapped quantifiers to help discharging new skolemizer assumptions
blanchet
parents:
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changeset

413 
(if String.isPrefix old_skolem_const_prefix c then 
37577
5379f41a1322
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changeset

414 
[] > Term.add_tvarsT T > map TVar 
5379f41a1322
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415 
else 
5379f41a1322
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416 
(c, T) > Sign.const_typargs thy) 
39497
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changeset

417 
> map simple_combtype_of 
37577
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418 
val c' = CombConst (`make_fixed_const c, tp, tvar_list) 
5379f41a1322
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419 
in (c',ts) end 
40145
04a05b2a7a36
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420 
 combterm_from_term _ _ (Free (v, T)) = 
39497
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changeset

421 
let val (tp, ts) = combtype_of T 
37577
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changeset

422 
val v' = CombConst (`make_fixed_var v, tp, []) 
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423 
in (v',ts) end 
40145
04a05b2a7a36
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424 
 combterm_from_term _ _ (Var (v as (s, _), T)) = 
39886
8a9f0c97d550
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changeset

425 
let 
8a9f0c97d550
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426 
val (tp, ts) = combtype_of T 
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changeset

427 
val v' = 
39890  428 
if String.isPrefix Meson_Clausify.new_skolem_var_prefix s then 
39886
8a9f0c97d550
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changeset

429 
let 
8a9f0c97d550
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changeset

430 
val tys = T > strip_type > swap > op :: 
40145
04a05b2a7a36
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changeset

431 
val s' = new_skolem_const_name s (length tys) 
39886
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432 
in 
8a9f0c97d550
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433 
CombConst (`make_fixed_const s', tp, map simple_combtype_of tys) 
8a9f0c97d550
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434 
end 
8a9f0c97d550
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435 
else 
8a9f0c97d550
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changeset

436 
CombVar ((make_schematic_var v, string_of_indexname v), tp) 
8a9f0c97d550
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changeset

437 
in (v', ts) end 
40145
04a05b2a7a36
no need to encode theorem number twice in skolem names
blanchet
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39962
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changeset

438 
 combterm_from_term _ bs (Bound j) = 
37995
06f02b15ef8a
generate full firstorder formulas (FOF) in Sledgehammer
blanchet
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changeset

439 
let 
06f02b15ef8a
generate full firstorder formulas (FOF) in Sledgehammer
blanchet
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37994
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changeset

440 
val (s, T) = nth bs j 
39497
fa16349939b7
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changeset

441 
val (tp, ts) = combtype_of T 
37995
06f02b15ef8a
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blanchet
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changeset

442 
val v' = CombConst (`make_bound_var s, tp, []) 
06f02b15ef8a
generate full firstorder formulas (FOF) in Sledgehammer
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changeset

443 
in (v', ts) end 
40145
04a05b2a7a36
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444 
 combterm_from_term _ _ (Abs _) = raise Fail "HOL clause: Abs" 
37577
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changeset

445 

40145
04a05b2a7a36
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changeset

446 
fun predicate_of thy ((@{const Not} $ P), pos) = predicate_of thy (P, not pos) 
04a05b2a7a36
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447 
 predicate_of thy (t, pos) = 
04a05b2a7a36
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448 
(combterm_from_term thy [] (Envir.eta_contract t), pos) 
37577
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449 

40145
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changeset

450 
fun literals_of_term1 args thy (@{const Trueprop} $ P) = 
04a05b2a7a36
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changeset

451 
literals_of_term1 args thy P 
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changeset

452 
 literals_of_term1 args thy (@{const HOL.disj} $ P $ Q) = 
04a05b2a7a36
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changeset

453 
literals_of_term1 (literals_of_term1 args thy P) thy Q 
04a05b2a7a36
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changeset

454 
 literals_of_term1 (lits, ts) thy P = 
04a05b2a7a36
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changeset

455 
let val ((pred, ts'), pol) = predicate_of thy (P, true) in 
37923  456 
(FOLLiteral (pol, pred) :: lits, union (op =) ts ts') 
37577
5379f41a1322
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changeset

457 
end 
5379f41a1322
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458 
val literals_of_term = literals_of_term1 ([], []) 
5379f41a1322
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changeset

459 

39896
13b3a2ba9ea7
encode axiom number and cluster number in all zapped quantifiers to help discharging new skolemizer assumptions
blanchet
parents:
39890
diff
changeset

460 
fun old_skolem_const_name i j num_T_args = 
13b3a2ba9ea7
encode axiom number and cluster number in all zapped quantifiers to help discharging new skolemizer assumptions
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changeset

461 
old_skolem_const_prefix ^ Long_Name.separator ^ 
39499  462 
(space_implode Long_Name.separator (map Int.toString [i, j, num_T_args])) 
37577
5379f41a1322
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changeset

463 

39886
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changeset

464 
fun conceal_old_skolem_terms i old_skolems t = 
39953
aa54f347e5e2
hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
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changeset

465 
if exists_Const (curry (op =) @{const_name Meson.skolem} o fst) t then 
37577
5379f41a1322
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changeset

466 
let 
39886
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changeset

467 
fun aux old_skolems 
39953
aa54f347e5e2
hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
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changeset

468 
(t as (Const (@{const_name Meson.skolem}, Type (_, [_, T])) $ _)) = 
37577
5379f41a1322
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changeset

469 
let 
39886
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changeset

470 
val (old_skolems, s) = 
37577
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changeset

471 
if i = ~1 then 
39886
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blanchet
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changeset

472 
(old_skolems, @{const_name undefined}) 
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changeset

473 
else case AList.find (op aconv) old_skolems t of 
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474 
s :: _ => (old_skolems, s) 
37577
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changeset

475 
 [] => 
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changeset

476 
let 
39896
13b3a2ba9ea7
encode axiom number and cluster number in all zapped quantifiers to help discharging new skolemizer assumptions
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parents:
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diff
changeset

477 
val s = old_skolem_const_name i (length old_skolems) 
13b3a2ba9ea7
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changeset

478 
(length (Term.add_tvarsT T [])) 
39886
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parents:
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diff
changeset

479 
in ((s, t) :: old_skolems, s) end 
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parents:
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diff
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480 
in (old_skolems, Const (s, T)) end 
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changeset

481 
 aux old_skolems (t1 $ t2) = 
37577
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changeset

482 
let 
39886
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parents:
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changeset

483 
val (old_skolems, t1) = aux old_skolems t1 
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484 
val (old_skolems, t2) = aux old_skolems t2 
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parents:
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changeset

485 
in (old_skolems, t1 $ t2) end 
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diff
changeset

486 
 aux old_skolems (Abs (s, T, t')) = 
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diff
changeset

487 
let val (old_skolems, t') = aux old_skolems t' in 
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parents:
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diff
changeset

488 
(old_skolems, Abs (s, T, t')) 
37577
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changeset

489 
end 
39886
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490 
 aux old_skolems t = (old_skolems, t) 
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diff
changeset

491 
in aux old_skolems t end 
37577
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changeset

492 
else 
39886
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parents:
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diff
changeset

493 
(old_skolems, t) 
37577
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changeset

494 

39886
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changeset

495 
fun reveal_old_skolem_terms old_skolems = 
37632  496 
map_aterms (fn t as Const (s, _) => 
39896
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changeset

497 
if String.isPrefix old_skolem_const_prefix s then 
39886
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parents:
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changeset

498 
AList.lookup (op =) old_skolems s > the 
37632  499 
> map_types Type_Infer.paramify_vars 
500 
else 

501 
t 

502 
 t => t) 

503 

37577
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504 

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505 
(***************************************************************) 
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506 
(* Type Classes Present in the Axiom or Conjecture Clauses *) 
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507 
(***************************************************************) 
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changeset

508 

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changeset

509 
fun set_insert (x, s) = Symtab.update (x, ()) s 
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changeset

510 

5379f41a1322
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diff
changeset

511 
fun add_classes (sorts, cset) = List.foldl set_insert cset (flat sorts) 
5379f41a1322
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changeset

512 

5379f41a1322
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diff
changeset

513 
(*Remove this trivial type class*) 
5379f41a1322
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changeset

514 
fun delete_type cset = Symtab.delete_safe (the_single @{sort HOL.type}) cset; 
5379f41a1322
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changeset

515 

5379f41a1322
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changeset

516 
fun tfree_classes_of_terms ts = 
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517 
let val sorts_list = map (map #2 o OldTerm.term_tfrees) ts 
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518 
in Symtab.keys (delete_type (List.foldl add_classes Symtab.empty sorts_list)) end; 
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changeset

519 

5379f41a1322
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changeset

520 
fun tvar_classes_of_terms ts = 
5379f41a1322
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parents:
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changeset

521 
let val sorts_list = map (map #2 o OldTerm.term_tvars) ts 
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parents:
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changeset

522 
in Symtab.keys (delete_type (List.foldl add_classes Symtab.empty sorts_list)) end; 
5379f41a1322
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changeset

523 

5379f41a1322
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changeset

524 
(*fold type constructors*) 
5379f41a1322
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525 
fun fold_type_consts f (Type (a, Ts)) x = fold (fold_type_consts f) Ts (f (a,x)) 
5379f41a1322
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526 
 fold_type_consts _ _ x = x; 
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changeset

527 

5379f41a1322
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changeset

528 
(*Type constructors used to instantiate overloaded constants are the only ones needed.*) 
5379f41a1322
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parents:
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changeset

529 
fun add_type_consts_in_term thy = 
5379f41a1322
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parents:
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diff
changeset

530 
let 
38748  531 
fun aux (Const x) = 
532 
fold (fold_type_consts set_insert) (Sign.const_typargs thy x) 

37577
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parents:
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changeset

533 
 aux (Abs (_, _, u)) = aux u 
39953
aa54f347e5e2
hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
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parents:
39946
diff
changeset

534 
 aux (Const (@{const_name Meson.skolem}, _) $ _) = I 
37577
5379f41a1322
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parents:
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diff
changeset

535 
 aux (t $ u) = aux t #> aux u 
5379f41a1322
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changeset

536 
 aux _ = I 
5379f41a1322
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parents:
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diff
changeset

537 
in aux end 
5379f41a1322
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parents:
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diff
changeset

538 

5379f41a1322
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parents:
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diff
changeset

539 
fun type_consts_of_terms thy ts = 
5379f41a1322
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parents:
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diff
changeset

540 
Symtab.keys (fold (add_type_consts_in_term thy) ts Symtab.empty); 
5379f41a1322
merge "Sledgehammer_{F,H}OL_Clause", as requested by a FIXME
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parents:
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diff
changeset

541 

39497
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diff
changeset

542 
(*  *) 
fa16349939b7
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parents:
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diff
changeset

543 
(* HOL to FOL (Isabelle to Metis) *) 
fa16349939b7
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diff
changeset

544 
(*  *) 
fa16349939b7
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diff
changeset

545 

fa16349939b7
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parents:
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diff
changeset

546 
datatype mode = FO  HO  FT (* firstorder, higherorder, fullytyped *) 
fa16349939b7
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diff
changeset

547 

fa16349939b7
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parents:
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diff
changeset

548 
fun string_of_mode FO = "FO" 
fa16349939b7
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parents:
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diff
changeset

549 
 string_of_mode HO = "HO" 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

550 
 string_of_mode FT = "FT" 
fa16349939b7
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parents:
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diff
changeset

551 

fa16349939b7
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diff
changeset

552 
fun fn_isa_to_met_sublevel "equal" = "=" (* FIXME: "c_fequal" *) 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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changeset

553 
 fn_isa_to_met_sublevel x = x 
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diff
changeset

554 
fun fn_isa_to_met_toplevel "equal" = "=" 
fa16349939b7
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diff
changeset

555 
 fn_isa_to_met_toplevel x = x 
fa16349939b7
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parents:
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diff
changeset

556 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

557 
fun metis_lit b c args = (b, (c, args)); 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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diff
changeset

558 

fa16349939b7
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parents:
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diff
changeset

559 
fun metis_term_from_combtyp (CombTVar (s, _)) = Metis_Term.Var s 
fa16349939b7
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parents:
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diff
changeset

560 
 metis_term_from_combtyp (CombTFree (s, _)) = Metis_Term.Fn (s, []) 
fa16349939b7
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parents:
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diff
changeset

561 
 metis_term_from_combtyp (CombType ((s, _), tps)) = 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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diff
changeset

562 
Metis_Term.Fn (s, map metis_term_from_combtyp tps); 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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39494
diff
changeset

563 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

564 
(*These two functions insert type literals before the real literals. That is the 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

565 
opposite order from TPTP linkup, but maybe OK.*) 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39494
diff
changeset

566 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

567 
fun hol_term_to_fol_FO tm = 
fa16349939b7
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parents:
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diff
changeset

568 
case strip_combterm_comb tm of 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

569 
(CombConst ((c, _), _, tys), tms) => 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

570 
let val tyargs = map metis_term_from_combtyp tys 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

571 
val args = map hol_term_to_fol_FO tms 
fa16349939b7
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diff
changeset

572 
in Metis_Term.Fn (c, tyargs @ args) end 
fa16349939b7
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diff
changeset

573 
 (CombVar ((v, _), _), []) => Metis_Term.Var v 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

574 
 _ => raise Fail "nonfirstorder combterm" 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

575 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

576 
fun hol_term_to_fol_HO (CombConst ((a, _), _, tylist)) = 
fa16349939b7
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39494
diff
changeset

577 
Metis_Term.Fn (fn_isa_to_met_sublevel a, map metis_term_from_combtyp tylist) 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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39494
diff
changeset

578 
 hol_term_to_fol_HO (CombVar ((s, _), _)) = Metis_Term.Var s 
fa16349939b7
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39494
diff
changeset

579 
 hol_term_to_fol_HO (CombApp (tm1, tm2)) = 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

580 
Metis_Term.Fn (".", map hol_term_to_fol_HO [tm1, tm2]); 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

581 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

582 
(*The fullytyped translation, to avoid type errors*) 
39720
0b93a954da4f
rename "Clausifier" to "Meson_Clausifier" and merge with "Meson_Tactic"
blanchet
parents:
39499
diff
changeset

583 
fun wrap_type (tm, ty) = 
0b93a954da4f
rename "Clausifier" to "Meson_Clausifier" and merge with "Meson_Tactic"
blanchet
parents:
39499
diff
changeset

584 
Metis_Term.Fn (type_wrapper_name, [tm, metis_term_from_combtyp ty]) 
39497
fa16349939b7
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parents:
39494
diff
changeset

585 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

586 
fun hol_term_to_fol_FT (CombVar ((s, _), ty)) = wrap_type (Metis_Term.Var s, ty) 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

587 
 hol_term_to_fol_FT (CombConst((a, _), ty, _)) = 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

588 
wrap_type (Metis_Term.Fn(fn_isa_to_met_sublevel a, []), ty) 
fa16349939b7
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parents:
39494
diff
changeset

589 
 hol_term_to_fol_FT (tm as CombApp(tm1,tm2)) = 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

590 
wrap_type (Metis_Term.Fn(".", map hol_term_to_fol_FT [tm1,tm2]), 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

591 
combtyp_of tm) 
fa16349939b7
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39494
diff
changeset

592 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

593 
fun hol_literal_to_fol FO (FOLLiteral (pos, tm)) = 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

594 
let val (CombConst((p, _), _, tys), tms) = strip_combterm_comb tm 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

595 
val tylits = if p = "equal" then [] else map metis_term_from_combtyp tys 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

596 
val lits = map hol_term_to_fol_FO tms 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

597 
in metis_lit pos (fn_isa_to_met_toplevel p) (tylits @ lits) end 
fa16349939b7
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parents:
39494
diff
changeset

598 
 hol_literal_to_fol HO (FOLLiteral (pos, tm)) = 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

599 
(case strip_combterm_comb tm of 
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600 
(CombConst(("equal", _), _, _), tms) => 
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parents:
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changeset

601 
metis_lit pos "=" (map hol_term_to_fol_HO tms) 
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parents:
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602 
 _ => metis_lit pos "{}" [hol_term_to_fol_HO tm]) (*hBOOL*) 
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parents:
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diff
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603 
 hol_literal_to_fol FT (FOLLiteral (pos, tm)) = 
fa16349939b7
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parents:
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604 
(case strip_combterm_comb tm of 
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parents:
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changeset

605 
(CombConst(("equal", _), _, _), tms) => 
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parents:
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diff
changeset

606 
metis_lit pos "=" (map hol_term_to_fol_FT tms) 
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parents:
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diff
changeset

607 
 _ => metis_lit pos "{}" [hol_term_to_fol_FT tm]) (*hBOOL*); 
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blanchet
parents:
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diff
changeset

608 

40145
04a05b2a7a36
no need to encode theorem number twice in skolem names
blanchet
parents:
39962
diff
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609 
fun literals_of_hol_term thy mode t = 
04a05b2a7a36
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parents:
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610 
let val (lits, types_sorts) = literals_of_term thy t in 
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parents:
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611 
(map (hol_literal_to_fol mode) lits, types_sorts) 
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parents:
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612 
end 
39497
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parents:
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changeset

613 

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parents:
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changeset

614 
(*Sign should be "true" for conjecture type constraints, "false" for type lits in clauses.*) 
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parents:
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615 
fun metis_of_type_literals pos (TyLitVar ((s, _), (s', _))) = 
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parents:
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616 
metis_lit pos s [Metis_Term.Var s'] 
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parents:
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617 
 metis_of_type_literals pos (TyLitFree ((s, _), (s', _))) = 
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parents:
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618 
metis_lit pos s [Metis_Term.Fn (s',[])] 
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changeset

619 

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parents:
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620 
fun default_sort _ (TVar _) = false 
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parents:
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621 
 default_sort ctxt (TFree (x, s)) = (s = the_default [] (Variable.def_sort ctxt (x, ~1))); 
fa16349939b7
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622 

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623 
fun metis_of_tfree tf = 
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parents:
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624 
Metis_Thm.axiom (Metis_LiteralSet.singleton (metis_of_type_literals true tf)); 
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changeset

625 

40145
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626 
fun hol_thm_to_fol is_conjecture ctxt type_lits mode j old_skolems th = 
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parents:
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627 
let 
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changeset

628 
val thy = ProofContext.theory_of ctxt 
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parents:
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changeset

629 
val (old_skolems, (mlits, types_sorts)) = 
39888  630 
th > prop_of > Logic.strip_imp_concl 
631 
> conceal_old_skolem_terms j old_skolems 

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parents:
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diff
changeset

632 
> (HOLogic.dest_Trueprop #> literals_of_hol_term thy mode) 
39497
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633 
in 
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parents:
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changeset

634 
if is_conjecture then 
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parents:
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diff
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635 
(Metis_Thm.axiom (Metis_LiteralSet.fromList mlits), 
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parents:
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changeset

636 
type_literals_for_types types_sorts, old_skolems) 
39497
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parents:
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diff
changeset

637 
else 
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changeset

638 
let 
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parents:
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changeset

639 
val tylits = filter_out (default_sort ctxt) types_sorts 
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parents:
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diff
changeset

640 
> type_literals_for_types 
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641 
val mtylits = 
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642 
if type_lits then map (metis_of_type_literals false) tylits else [] 
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parents:
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diff
changeset

643 
in 
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changeset

644 
(Metis_Thm.axiom (Metis_LiteralSet.fromList(mtylits @ mlits)), [], 
39886
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parents:
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645 
old_skolems) 
39497
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parents:
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diff
changeset

646 
end 
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parents:
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changeset

647 
end; 
fa16349939b7
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parents:
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diff
changeset

648 

fa16349939b7
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parents:
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diff
changeset

649 
val helpers = 
39953
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hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
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parents:
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diff
changeset

650 
[("c_COMBI", (false, map (`I) @{thms Meson.COMBI_def})), 
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651 
("c_COMBK", (false, map (`I) @{thms Meson.COMBK_def})), 
aa54f347e5e2
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parents:
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diff
changeset

652 
("c_COMBB", (false, map (`I) @{thms Meson.COMBB_def})), 
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hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
blanchet
parents:
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diff
changeset

653 
("c_COMBC", (false, map (`I) @{thms Meson.COMBC_def})), 
aa54f347e5e2
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blanchet
parents:
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diff
changeset

654 
("c_COMBS", (false, map (`I) @{thms Meson.COMBS_def})), 
39497
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parents:
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diff
changeset

655 
("c_fequal", (false, map (rpair @{thm equal_imp_equal}) 
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parents:
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changeset

656 
@{thms fequal_imp_equal equal_imp_fequal})), 
fa16349939b7
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parents:
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diff
changeset

657 
("c_True", (true, map (`I) @{thms True_or_False})), 
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parents:
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changeset

658 
("c_False", (true, map (`I) @{thms True_or_False})), 
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parents:
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diff
changeset

659 
("c_If", (true, map (`I) @{thms if_True if_False True_or_False}))] 
fa16349939b7
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parents:
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diff
changeset

660 

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parents:
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changeset

661 
(*  *) 
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parents:
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diff
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662 
(* Logic maps manage the interface between HOL and firstorder logic. *) 
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parents:
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changeset

663 
(*  *) 
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diff
changeset

664 

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parents:
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changeset

665 
type logic_map = 
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666 
{axioms: (Metis_Thm.thm * thm) list, 
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parents:
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diff
changeset

667 
tfrees: type_literal list, 
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blanchet
parents:
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diff
changeset

668 
old_skolems: (string * term) list} 
39497
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parents:
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changeset

669 

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parents:
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changeset

670 
fun is_quasi_fol_clause thy = 
39886
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parents:
39720
diff
changeset

671 
Meson.is_fol_term thy o snd o conceal_old_skolem_terms ~1 [] o prop_of 
39497
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complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

672 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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changeset

673 
(*Extract TFree constraints from context to include as conjecture clauses*) 
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parents:
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changeset

674 
fun init_tfrees ctxt = 
fa16349939b7
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changeset

675 
let fun add ((a,i),s) Ts = if i = ~1 then TFree(a,s) :: Ts else Ts in 
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parents:
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diff
changeset

676 
Vartab.fold add (#2 (Variable.constraints_of ctxt)) [] 
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parents:
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diff
changeset

677 
> type_literals_for_types 
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parents:
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diff
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678 
end; 
fa16349939b7
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parents:
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diff
changeset

679 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

680 
(*Insert nonlogical axioms corresponding to all accumulated TFrees*) 
39886
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parents:
39720
diff
changeset

681 
fun add_tfrees {axioms, tfrees, old_skolems} : logic_map = 
39497
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parents:
39494
diff
changeset

682 
{axioms = map (rpair TrueI o metis_of_tfree) (distinct (op =) tfrees) @ 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

683 
axioms, 
39886
8a9f0c97d550
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parents:
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diff
changeset

684 
tfrees = tfrees, old_skolems = old_skolems} 
39497
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parents:
39494
diff
changeset

685 

fa16349939b7
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parents:
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diff
changeset

686 
(*transform isabelle type / arity clause to metis clause *) 
fa16349939b7
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parents:
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diff
changeset

687 
fun add_type_thm [] lmap = lmap 
39886
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blanchet
parents:
39720
diff
changeset

688 
 add_type_thm ((ith, mth) :: cls) {axioms, tfrees, old_skolems} = 
39497
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blanchet
parents:
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diff
changeset

689 
add_type_thm cls {axioms = (mth, ith) :: axioms, tfrees = tfrees, 
39886
8a9f0c97d550
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blanchet
parents:
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diff
changeset

690 
old_skolems = old_skolems} 
39497
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parents:
39494
diff
changeset

691 

fa16349939b7
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parents:
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diff
changeset

692 
fun const_in_metis c (pred, tm_list) = 
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complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
diff
changeset

693 
let 
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diff
changeset

694 
fun in_mterm (Metis_Term.Var _) = false 
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parents:
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diff
changeset

695 
 in_mterm (Metis_Term.Fn (".", tm_list)) = exists in_mterm tm_list 
fa16349939b7
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parents:
39494
diff
changeset

696 
 in_mterm (Metis_Term.Fn (nm, tm_list)) = c=nm orelse exists in_mterm tm_list 
fa16349939b7
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blanchet
parents:
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diff
changeset

697 
in c = pred orelse exists in_mterm tm_list end; 
fa16349939b7
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blanchet
parents:
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diff
changeset

698 

fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
39494
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changeset

699 
(* ARITY CLAUSE *) 
fa16349939b7
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parents:
39494
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changeset

700 
fun m_arity_cls (TConsLit ((c, _), (t, _), args)) = 
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parents:
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diff
changeset

701 
metis_lit true c [Metis_Term.Fn(t, map (Metis_Term.Var o fst) args)] 
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parents:
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diff
changeset

702 
 m_arity_cls (TVarLit ((c, _), (s, _))) = 
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complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

703 
metis_lit false c [Metis_Term.Var s] 
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parents:
39494
diff
changeset

704 
(*TrueI is returned as the Isabelle counterpart because there isn't any.*) 
fa16349939b7
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blanchet
parents:
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diff
changeset

705 
fun arity_cls (ArityClause {conclLit, premLits, ...}) = 
fa16349939b7
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parents:
39494
diff
changeset

706 
(TrueI, 
fa16349939b7
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parents:
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diff
changeset

707 
Metis_Thm.axiom (Metis_LiteralSet.fromList (map m_arity_cls (conclLit :: premLits)))); 
fa16349939b7
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parents:
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diff
changeset

708 

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parents:
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diff
changeset

709 
(* CLASSREL CLAUSE *) 
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parents:
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diff
changeset

710 
fun m_class_rel_cls (subclass, _) (superclass, _) = 
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parents:
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diff
changeset

711 
[metis_lit false subclass [Metis_Term.Var "T"], metis_lit true superclass [Metis_Term.Var "T"]]; 
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blanchet
parents:
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diff
changeset

712 
fun class_rel_cls (ClassRelClause {subclass, superclass, ...}) = 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

713 
(TrueI, Metis_Thm.axiom (Metis_LiteralSet.fromList (m_class_rel_cls subclass superclass))); 
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

714 

fa16349939b7
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parents:
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diff
changeset

715 
fun type_ext thy tms = 
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parents:
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diff
changeset

716 
let val subs = tfree_classes_of_terms tms 
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parents:
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diff
changeset

717 
val supers = tvar_classes_of_terms tms 
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parents:
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diff
changeset

718 
and tycons = type_consts_of_terms thy tms 
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parents:
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diff
changeset

719 
val (supers', arity_clauses) = make_arity_clauses thy tycons supers 
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parents:
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diff
changeset

720 
val class_rel_clauses = make_class_rel_clauses thy subs supers' 
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complete refactoring of Metis along the lines of Sledgehammer
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parents:
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changeset

721 
in map class_rel_cls class_rel_clauses @ map arity_cls arity_clauses 
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parents:
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changeset

722 
end; 
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complete refactoring of Metis along the lines of Sledgehammer
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parents:
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diff
changeset

723 

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complete refactoring of Metis along the lines of Sledgehammer
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changeset

724 
(* Function to generate metis clauses, including comb and type clauses *) 
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725 
fun build_logic_map mode0 ctxt type_lits cls thss = 
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726 
let val thy = ProofContext.theory_of ctxt 
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727 
(*The modes FO and FT are sticky. HO can be downgraded to FO.*) 
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728 
fun set_mode FO = FO 
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729 
 set_mode HO = 
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730 
if forall (forall (is_quasi_fol_clause thy)) (cls :: thss) then FO 
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731 
else HO 
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732 
 set_mode FT = FT 
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733 
val mode = set_mode mode0 
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734 
(*transform isabelle clause to metis clause *) 
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735 
fun add_thm is_conjecture (metis_ith, isa_ith) 
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736 
{axioms, tfrees, old_skolems} : logic_map = 
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737 
let 
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738 
val (mth, tfree_lits, old_skolems) = 
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739 
hol_thm_to_fol is_conjecture ctxt type_lits mode (length axioms) 
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740 
old_skolems metis_ith 
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741 
in 
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742 
{axioms = (mth, Meson.make_meta_clause isa_ith) :: axioms, 
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743 
tfrees = union (op =) tfree_lits tfrees, old_skolems = old_skolems} 
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744 
end; 
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745 
val lmap = {axioms = [], tfrees = init_tfrees ctxt, old_skolems = []} 
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746 
> fold (add_thm true o `I) cls 
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747 
> add_tfrees 
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748 
> fold (fold (add_thm false o `I)) thss 
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749 
val clause_lists = map (Metis_Thm.clause o #1) (#axioms lmap) 
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750 
fun is_used c = 
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751 
exists (Metis_LiteralSet.exists (const_in_metis c o #2)) clause_lists 
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752 
val lmap = 
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753 
if mode = FO then 
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754 
lmap 
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755 
else 
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756 
let 
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757 
val helper_ths = 
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758 
helpers > filter (is_used o fst) 
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759 
> maps (fn (c, (needs_full_types, thms)) => 
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760 
if not (is_used c) orelse 
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761 
needs_full_types andalso mode <> FT then 
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762 
[] 
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763 
else 
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764 
thms) 
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765 
in lmap > fold (add_thm false) helper_ths end 
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766 
in 
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767 
(mode, add_type_thm (type_ext thy (maps (map prop_of) (cls :: thss))) lmap) 
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768 
end 
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769 

15347  770 
end; 