author  blanchet 
Wed, 07 Sep 2011 13:50:17 +0200  
changeset 44783  3634c6dba23f 
parent 44782  ba4c0205267f 
child 44785  f4975fa4a2f8 
permissions  rwrr 
43283  1 
(* Title: HOL/Tools/ATP/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 Metis and Sledgehammer. 
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*) 
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signature ATP_TRANSLATE = 
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sig 
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type ('a, 'b) ho_term = ('a, 'b) ATP_Problem.ho_term 
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type connective = ATP_Problem.connective 
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type ('a, 'b, 'c) formula = ('a, 'b, 'c) ATP_Problem.formula 
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type tptp_format = ATP_Problem.tptp_format 
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type formula_kind = ATP_Problem.formula_kind 
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type 'a problem = 'a ATP_Problem.problem 
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datatype locality = 
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General  Helper  Induction  Intro  Elim  Simp  Local  Assum  Chained 
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datatype polymorphism = Polymorphic  Raw_Monomorphic  Mangled_Monomorphic 
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datatype soundness = Sound_Modulo_Infiniteness  Sound 
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datatype heaviness = Heavy  Ann_Light  Arg_Light 
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datatype type_level = 
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All_Types  
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Noninf_Nonmono_Types of soundness * heaviness  
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Fin_Nonmono_Types of heaviness  

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Const_Arg_Types  
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No_Types 
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type type_enc 
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val type_tag_idempotence : bool Config.T 
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val type_tag_arguments : bool Config.T 
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val no_lambdasN : string 
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val concealedN : string 
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val liftingN : string 
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val combinatorsN : string 
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val hybridN : string 
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val lambdasN : string 
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val smartN : 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 polymorphic_free_prefix : string 
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val skolem_const_prefix : string 
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val old_skolem_const_prefix : string 
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val new_skolem_const_prefix : string 
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val type_decl_prefix : string 
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val sym_decl_prefix : string 
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val guards_sym_formula_prefix : string 
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val tags_sym_formula_prefix : string 
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val fact_prefix : string 
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val conjecture_prefix : string 
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val helper_prefix : string 
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val class_rel_clause_prefix : string 
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val arity_clause_prefix : string 
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val tfree_clause_prefix : string 
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val typed_helper_suffix : string 
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val untyped_helper_suffix : string 
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val type_tag_idempotence_helper_name : string 
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val predicator_name : string 
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val app_op_name : string 
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val type_guard_name : string 
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val type_tag_name : string 
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val simple_type_prefix : string 
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val prefixed_predicator_name : string 
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val prefixed_app_op_name : string 
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val prefixed_type_tag_name : 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 proxy_table : (string * (string * (thm * (string * string)))) list 
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val proxify_const : string > (string * string) option 
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val invert_const : string > string 
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val unproxify_const : string > string 
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val new_skolem_var_name_from_const : string > string 
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val atp_irrelevant_consts : string list 
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val atp_schematic_consts_of : term > typ list Symtab.table 
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val is_type_enc_higher_order : type_enc > bool 
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val polymorphism_of_type_enc : type_enc > polymorphism 
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val level_of_type_enc : type_enc > type_level 
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val is_type_enc_quasi_sound : type_enc > bool 
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val is_type_enc_fairly_sound : type_enc > bool 
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val type_enc_from_string : soundness > string > type_enc 
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val adjust_type_enc : tptp_format > type_enc > type_enc 
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val mk_aconns : 
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connective > ('a, 'b, 'c) formula list > ('a, 'b, 'c) formula 
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val unmangled_const : string > string * (string, 'b) ho_term list 
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val unmangled_const_name : string > string 
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val helper_table : ((string * bool) * thm list) list 
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val factsN : string 
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val prepare_atp_problem : 
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Proof.context > tptp_format > formula_kind > formula_kind > type_enc 
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> bool > string > bool > bool > term list > term 
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> ((string * locality) * term) list 
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> string problem * string Symtab.table * int * int 
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* (string * locality) list vector * int list * int Symtab.table 
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val atp_problem_weights : string problem > (string * real) list 
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end; 
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structure ATP_Translate : ATP_TRANSLATE = 
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struct 
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open ATP_Util 
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open ATP_Problem 
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type name = string * string 
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val type_tag_idempotence = 
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Attrib.setup_config_bool @{binding atp_type_tag_idempotence} (K false) 
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val type_tag_arguments = 
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Attrib.setup_config_bool @{binding atp_type_tag_arguments} (K false) 
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val no_lambdasN = "no_lambdas" 
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val concealedN = "concealed" 
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val liftingN = "lifting" 
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val combinatorsN = "combinators" 
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val hybridN = "hybrid" 
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val lambdasN = "lambdas" 
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val smartN = "smart" 
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val generate_info = false (* experimental *) 
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fun isabelle_info s = 
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if generate_info then SOME (ATerm ("[]", [ATerm ("isabelle_" ^ s, [])])) 

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else NONE 

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val introN = "intro" 
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val elimN = "elim" 

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val simpN = "simp" 

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(* TFF1 is still in development, and it is still unclear whether symbols will be 
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allowed to have types like "$tType > $o" (i.e., "![A : $tType] : $o"), with 

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"dummy" type variables. *) 

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val avoid_first_order_dummy_type_vars = true 
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val bound_var_prefix = "B_" 
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val all_bound_var_prefix = "BA_" 
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val exist_bound_var_prefix = "BE_" 
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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 simple_type_prefix = "s_" 
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val class_prefix = "cl_" 
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val polymorphic_free_prefix = "poly_free" 
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val skolem_const_prefix = "ATP" ^ 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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val type_decl_prefix = "ty_" 
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val sym_decl_prefix = "sy_" 
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val guards_sym_formula_prefix = "gsy_" 
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val tags_sym_formula_prefix = "tsy_" 
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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 = "clar_" 
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val arity_clause_prefix = "arity_" 
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val tfree_clause_prefix = "tfree_" 
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val lambda_fact_prefix = "ATP.lambda_" 
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val typed_helper_suffix = "_T" 
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val untyped_helper_suffix = "_U" 
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val type_tag_idempotence_helper_name = helper_prefix ^ "ti_idem" 
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val predicator_name = "pp" 
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val app_op_name = "aa" 
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val type_guard_name = "gg" 
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val type_tag_name = "tt" 
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val prefixed_predicator_name = const_prefix ^ predicator_name 
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val prefixed_app_op_name = const_prefix ^ app_op_name 
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val prefixed_type_tag_name = const_prefix ^ type_tag_name 
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(* Freshness almost guaranteed! *) 
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val atp_weak_prefix = "ATP:" 
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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 upper_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 = 
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stringN_of_int (k  1) (n div 10) ^ string_of_int (n mod 10) 
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fun ascii_of_char c = 
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if Char.isAlphaNum c then 
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String.str c 
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else if c = #"_" then 
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"__" 
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else if #" " <= c andalso c <= #"/" then 
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"_" ^ String.str (Char.chr (Char.ord c + upper_a_minus_space)) 
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else 
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(* fixed width, in case more digits follow *) 
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"_" ^ stringN_of_int 3 (Char.ord c) 
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val ascii_of = String.translate ascii_of_char 
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(** Remove ASCII armoring from names in proof files **) 
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(* We don't raise error exceptions because this code can run inside a worker 
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thread. Also, the errors are impossible. *) 
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val unascii_of = 
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let 
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fun un rcs [] = String.implode(rev rcs) 
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 un rcs [#"_"] = un (#"_" :: rcs) [] (* ERROR *) 
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(* Three types of _ escapes: __, _A to _P, _nnn *) 
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 un rcs (#"_" :: #"_" :: cs) = un (#"_" :: rcs) cs 
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 un rcs (#"_" :: c :: cs) = 
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if #"A" <= c andalso c<= #"P" then 
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(* translation of #" " to #"/" *) 
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un (Char.chr (Char.ord c  upper_a_minus_space) :: rcs) cs 
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else 
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let val digits = List.take (c :: cs, 3) handle General.Subscript => [] in 
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case Int.fromString (String.implode digits) of 
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SOME n => un (Char.chr n :: rcs) (List.drop (cs, 2)) 
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 NONE => un (c :: #"_" :: rcs) cs (* ERROR *) 
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end 
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 un rcs (c :: cs) = un (c :: rcs) cs 
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in un [] o String.explode end 
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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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val proxy_table = 
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[("c_False", (@{const_name False}, (@{thm fFalse_def}, 
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("fFalse", @{const_name ATP.fFalse})))), 
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("c_True", (@{const_name True}, (@{thm fTrue_def}, 
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("fTrue", @{const_name ATP.fTrue})))), 
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("c_Not", (@{const_name Not}, (@{thm fNot_def}, 
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("fNot", @{const_name ATP.fNot})))), 
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("c_conj", (@{const_name conj}, (@{thm fconj_def}, 
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("fconj", @{const_name ATP.fconj})))), 
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("c_disj", (@{const_name disj}, (@{thm fdisj_def}, 
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("fdisj", @{const_name ATP.fdisj})))), 
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("c_implies", (@{const_name implies}, (@{thm fimplies_def}, 
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("fimplies", @{const_name ATP.fimplies})))), 
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("equal", (@{const_name HOL.eq}, (@{thm fequal_def}, 
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("fequal", @{const_name ATP.fequal})))), 
257 
("c_All", (@{const_name All}, (@{thm fAll_def}, 

258 
("fAll", @{const_name ATP.fAll})))), 

259 
("c_Ex", (@{const_name Ex}, (@{thm fEx_def}, 

260 
("fEx", @{const_name ATP.fEx}))))] 

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val proxify_const = AList.lookup (op =) proxy_table #> Option.map (snd o snd) 
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(* Readable names for the more common symbolic functions. Do not mess with the 
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table unless you know what you are doing. *) 
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val const_trans_table = 
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[(@{type_name Product_Type.prod}, "prod"), 
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(@{type_name Sum_Type.sum}, "sum"), 
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(@{const_name False}, "False"), 
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(@{const_name True}, "True"), 
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(@{const_name Not}, "Not"), 
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(@{const_name conj}, "conj"), 
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(@{const_name disj}, "disj"), 
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(@{const_name implies}, "implies"), 
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(@{const_name HOL.eq}, "equal"), 
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(@{const_name All}, "All"), 
277 
(@{const_name Ex}, "Ex"), 

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(@{const_name If}, "If"), 
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(@{const_name Set.member}, "member"), 
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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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> Symtab.make 
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> fold (Symtab.update o swap o snd o snd o snd) proxy_table 
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287 

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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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const_trans_table > Symtab.dest > map swap > Symtab.make 
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val const_trans_table_unprox = 
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Symtab.empty 
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> fold (fn (_, (isa, (_, (_, atp)))) => Symtab.update (atp, isa)) proxy_table 
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294 

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val invert_const = perhaps (Symtab.lookup const_trans_table_inv) 
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val unproxify_const = perhaps (Symtab.lookup const_trans_table_unprox) 
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297 

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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 
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302 

43622  303 
fun ascii_of_indexname (v, 0) = ascii_of v 
304 
 ascii_of_indexname (v, i) = ascii_of v ^ "_" ^ string_of_int i 

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305 

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fun make_bound_var x = bound_var_prefix ^ ascii_of x 
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fun make_all_bound_var x = all_bound_var_prefix ^ ascii_of x 
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fun make_exist_bound_var x = exist_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 
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43622  312 
fun make_schematic_type_var (x, i) = 
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tvar_prefix ^ (ascii_of_indexname (unprefix "'" x, i)) 
43622  314 
fun make_fixed_type_var x = tfree_prefix ^ (ascii_of (unprefix "'" x)) 
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44587  316 
(* "HOL.eq" and Choice are mapped to the ATP's equivalents *) 
317 
local 

318 
val choice_const = (fst o dest_Const o HOLogic.choice_const) Term.dummyT 

319 
fun default c = const_prefix ^ lookup_const c 

320 
in 

321 
fun make_fixed_const _ @{const_name HOL.eq} = tptp_old_equal 

44754  322 
 make_fixed_const (SOME (THF (_, _, THF_With_Choice))) c = 
323 
if c = choice_const then tptp_choice else default c 

44587  324 
 make_fixed_const _ c = default c 
325 
end 

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326 

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fun make_fixed_type_const c = type_const_prefix ^ lookup_const c 
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fun make_type_class clas = class_prefix ^ ascii_of clas 
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330 

43093  331 
fun new_skolem_var_name_from_const s = 
332 
let val ss = s > space_explode Long_Name.separator in 

333 
nth ss (length ss  2) 

334 
end 

335 

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(* These are either simplified away by "Meson.presimplify" (most of the time) or 
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handled specially via "fFalse", "fTrue", ..., "fequal". *) 
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val atp_irrelevant_consts = 
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[@{const_name False}, @{const_name True}, @{const_name Not}, 
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@{const_name conj}, @{const_name disj}, @{const_name implies}, 
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@{const_name HOL.eq}, @{const_name If}, @{const_name Let}] 
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342 

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val atp_monomorph_bad_consts = 
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atp_irrelevant_consts @ 
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(* These are ignored anyway by the relevance filter (unless they appear in 
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higherorder places) but not by the monomorphizer. *) 
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[@{const_name all}, @{const_name "==>"}, @{const_name "=="}, 
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@{const_name Trueprop}, @{const_name All}, @{const_name Ex}, 
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@{const_name Ex1}, @{const_name Ball}, @{const_name Bex}] 
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350 

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fun add_schematic_const (x as (_, T)) = 
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Monomorph.typ_has_tvars T ? Symtab.insert_list (op =) x 
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val add_schematic_consts_of = 
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Term.fold_aterms (fn Const (x as (s, _)) => 
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not (member (op =) atp_monomorph_bad_consts s) 
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356 
? add_schematic_const x 
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357 
 _ => I) 
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fun atp_schematic_consts_of t = add_schematic_consts_of t Symtab.empty 
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359 

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(** Definitions and functions for FOL clauses and formulas for TPTP **) 
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361 

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362 
(** Isabelle arities **) 
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363 

44625  364 
type arity_atom = name * name * name list 
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365 

43263  366 
val type_class = the_single @{sort type} 
367 

43086  368 
type arity_clause = 
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369 
{name : string, 
44625  370 
prem_atoms : arity_atom list, 
371 
concl_atom : arity_atom} 

372 

373 
fun add_prem_atom tvar = 

374 
fold (fn s => s <> type_class ? cons (`make_type_class s, `I tvar, [])) 

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375 

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376 
(* Arity of type constructor "tcon :: (arg1, ..., argN) res" *) 
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377 
fun make_axiom_arity_clause (tcons, name, (cls, args)) = 
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378 
let 
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379 
val tvars = map (prefix tvar_prefix o string_of_int) (1 upto length args) 
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380 
val tvars_srts = ListPair.zip (tvars, args) 
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381 
in 
43086  382 
{name = name, 
44625  383 
prem_atoms = [] > fold (uncurry add_prem_atom) tvars_srts, 
384 
concl_atom = (`make_type_class cls, `make_fixed_type_const tcons, 

385 
tvars ~~ tvars)} 

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386 
end 
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387 

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388 
fun arity_clause _ _ (_, []) = [] 
43495  389 
 arity_clause seen n (tcons, ("HOL.type", _) :: ars) = (* ignore *) 
390 
arity_clause seen n (tcons, ars) 

391 
 arity_clause seen n (tcons, (ar as (class, _)) :: ars) = 

392 
if member (op =) seen class then 

393 
(* multiple arities for the same (tycon, class) pair *) 

394 
make_axiom_arity_clause (tcons, 

395 
lookup_const tcons ^ "___" ^ ascii_of class ^ "_" ^ string_of_int n, 

396 
ar) :: 

397 
arity_clause seen (n + 1) (tcons, ars) 

398 
else 

399 
make_axiom_arity_clause (tcons, lookup_const tcons ^ "___" ^ 

400 
ascii_of class, ar) :: 

401 
arity_clause (class :: seen) n (tcons, ars) 

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402 

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403 
fun multi_arity_clause [] = [] 
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404 
 multi_arity_clause ((tcons, ars) :: tc_arlists) = 
44772  405 
arity_clause [] 1 (tcons, ars) @ multi_arity_clause tc_arlists 
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406 

43622  407 
(* Generate all pairs (tycon, class, sorts) such that tycon belongs to class in 
408 
theory thy provided its arguments have the corresponding sorts. *) 

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409 
fun type_class_pairs thy tycons classes = 
43093  410 
let 
411 
val alg = Sign.classes_of thy 

412 
fun domain_sorts tycon = Sorts.mg_domain alg tycon o single 

413 
fun add_class tycon class = 

414 
cons (class, domain_sorts tycon class) 

415 
handle Sorts.CLASS_ERROR _ => I 

416 
fun try_classes tycon = (tycon, fold (add_class tycon) classes []) 

417 
in map try_classes tycons end 

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418 

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419 
(*Proving one (tycon, class) membership may require proving others, so iterate.*) 
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420 
fun iter_type_class_pairs _ _ [] = ([], []) 
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421 
 iter_type_class_pairs thy tycons classes = 
43263  422 
let 
423 
fun maybe_insert_class s = 

424 
(s <> type_class andalso not (member (op =) classes s)) 

425 
? insert (op =) s 

426 
val cpairs = type_class_pairs thy tycons classes 

427 
val newclasses = 

428 
[] > fold (fold (fold (fold maybe_insert_class) o snd) o snd) cpairs 

429 
val (classes', cpairs') = iter_type_class_pairs thy tycons newclasses 

43266  430 
in (classes' @ classes, union (op =) cpairs' cpairs) end 
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431 

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432 
fun make_arity_clauses thy tycons = 
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433 
iter_type_class_pairs thy tycons ##> multi_arity_clause 
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434 

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435 

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436 
(** Isabelle class relations **) 
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437 

43086  438 
type class_rel_clause = 
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439 
{name : string, 
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440 
subclass : name, 
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441 
superclass : name} 
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442 

43622  443 
(* Generate all pairs (sub, super) such that sub is a proper subclass of super 
444 
in theory "thy". *) 

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445 
fun class_pairs _ [] _ = [] 
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446 
 class_pairs thy subs supers = 
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447 
let 
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448 
val class_less = Sorts.class_less (Sign.classes_of thy) 
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449 
fun add_super sub super = class_less (sub, super) ? cons (sub, super) 
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450 
fun add_supers sub = fold (add_super sub) supers 
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451 
in fold add_supers subs [] end 
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452 

43622  453 
fun make_class_rel_clause (sub, super) = 
454 
{name = sub ^ "_" ^ super, subclass = `make_type_class sub, 

43086  455 
superclass = `make_type_class super} 
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456 

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457 
fun make_class_rel_clauses thy subs supers = 
43093  458 
map make_class_rel_clause (class_pairs thy subs supers) 
43085
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first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

459 

43859  460 
(* intermediate terms *) 
461 
datatype iterm = 

462 
IConst of name * typ * typ list  

463 
IVar of name * typ  

464 
IApp of iterm * iterm  

465 
IAbs of (name * typ) * iterm 

43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

466 

43859  467 
fun ityp_of (IConst (_, T, _)) = T 
468 
 ityp_of (IVar (_, T)) = T 

469 
 ityp_of (IApp (t1, _)) = snd (dest_funT (ityp_of t1)) 

470 
 ityp_of (IAbs ((_, T), tm)) = T > ityp_of tm 

43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

471 

0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

472 
(*gets the head of a combinator application, along with the list of arguments*) 
43859  473 
fun strip_iterm_comb u = 
43496
92f5a4c78b37
remove historical bloat  another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents:
43495
diff
changeset

474 
let 
43859  475 
fun stripc (IApp (t, u), ts) = stripc (t, u :: ts) 
43496
92f5a4c78b37
remove historical bloat  another benefit of merging Metis's and Sledgehammer's translations
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parents:
43495
diff
changeset

476 
 stripc x = x 
92f5a4c78b37
remove historical bloat  another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents:
43495
diff
changeset

477 
in stripc (u, []) end 
43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

478 

0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

479 
fun atyps_of T = fold_atyps (insert (op =)) T [] 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
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diff
changeset

480 

0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

481 
fun new_skolem_const_name s num_T_args = 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

482 
[new_skolem_const_prefix, s, string_of_int num_T_args] 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
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diff
changeset

483 
> space_implode Long_Name.separator 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

484 

44594
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

485 
fun robust_const_type thy s = 
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

486 
if s = app_op_name then Logic.varifyT_global @{typ "('a => 'b) => 'a => 'b"} 
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

487 
else s > Sign.the_const_type thy 
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

488 

ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

489 
(* This function only makes sense if "T" is as general as possible. *) 
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

490 
fun robust_const_typargs thy (s, T) = 
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
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parents:
44593
diff
changeset

491 
(s, T) > Sign.const_typargs thy 
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

492 
handle TYPE _ => [] > Term.add_tvarsT T > rev > map TVar 
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

493 

43859  494 
(* Converts an Isabelle/HOL term (with combinators) into an intermediate term. 
495 
Also accumulates sort infomation. *) 

44495  496 
fun iterm_from_term thy format bs (P $ Q) = 
43085
0a2f5b86bdd7
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parents:
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diff
changeset

497 
let 
44495  498 
val (P', P_atomics_Ts) = iterm_from_term thy format bs P 
499 
val (Q', Q_atomics_Ts) = iterm_from_term thy format bs Q 

43859  500 
in (IApp (P', Q'), union (op =) P_atomics_Ts Q_atomics_Ts) end 
44495  501 
 iterm_from_term thy format _ (Const (c, T)) = 
502 
(IConst (`(make_fixed_const (SOME format)) c, T, 

44594
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

503 
robust_const_typargs thy (c, T)), 
43907
073ab5379842
pass type arguments to lambdalifted Frees, to account for polymorphism
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parents:
43906
diff
changeset

504 
atyps_of T) 
44495  505 
 iterm_from_term _ _ _ (Free (s, T)) = 
43907
073ab5379842
pass type arguments to lambdalifted Frees, to account for polymorphism
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parents:
43906
diff
changeset

506 
(IConst (`make_fixed_var s, T, 
43936
127749bbc639
use a more robust naming convention for "polymorphic" frees  the check is an overapproximation but that's fine as far as soundness is concerned
blanchet
parents:
43907
diff
changeset

507 
if String.isPrefix polymorphic_free_prefix s then [T] else []), 
43907
073ab5379842
pass type arguments to lambdalifted Frees, to account for polymorphism
blanchet
parents:
43906
diff
changeset

508 
atyps_of T) 
44495  509 
 iterm_from_term _ format _ (Var (v as (s, _), T)) = 
43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

510 
(if String.isPrefix Meson_Clausify.new_skolem_var_prefix s then 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
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diff
changeset

511 
let 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
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diff
changeset

512 
val Ts = T > strip_type > swap > op :: 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

513 
val s' = new_skolem_const_name s (length Ts) 
44495  514 
in IConst (`(make_fixed_const (SOME format)) s', T, Ts) end 
43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

515 
else 
43859  516 
IVar ((make_schematic_var v, s), T), atyps_of T) 
44495  517 
 iterm_from_term _ _ bs (Bound j) = 
44403
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

518 
nth bs j > (fn (_, (name, T)) => (IConst (name, T, []), atyps_of T)) 
44495  519 
 iterm_from_term thy format bs (Abs (s, T, t)) = 
43678  520 
let 
521 
fun vary s = s > AList.defined (op =) bs s ? vary o Symbol.bump_string 

522 
val s = vary s 

44403
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

523 
val name = `make_bound_var s 
44495  524 
val (tm, atomic_Ts) = iterm_from_term thy format ((s, (name, T)) :: bs) t 
44403
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

525 
in (IAbs ((name, T), tm), union (op =) atomic_Ts (atyps_of T)) end 
43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
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parents:
43064
diff
changeset

526 

43421  527 
datatype locality = 
44783  528 
General  Helper  Induction  Intro  Elim  Simp  Local  Assum  Chained 
43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

529 

43624
de026aecab9b
cleaner handling of higherorder simple types, so that it's also possible to use firstorder simple types with LEOII and company
blanchet
parents:
43623
diff
changeset

530 
datatype order = First_Order  Higher_Order 
44494
a77901b3774e
rationalized option names  mono becomes raw_mono and mangled becomes mono
blanchet
parents:
44493
diff
changeset

531 
datatype polymorphism = Polymorphic  Raw_Monomorphic  Mangled_Monomorphic 
44634
2ac4ff398bc3
make "sound" sound and "unsound" more sound, based on evaluation
blanchet
parents:
44626
diff
changeset

532 
datatype soundness = Sound_Modulo_Infiniteness  Sound 
44782  533 
datatype heaviness = Heavy  Ann_Light  Arg_Light 
42613
23b13b1bd565
use strings to encode type systems in ATP module, to reduce the amount of outofplace information and also to make it easier to print the type system used
blanchet
parents:
42612
diff
changeset

534 
datatype type_level = 
44397
06375952f1fa
cleaner handling of polymorphic monotonicity inference
blanchet
parents:
44396
diff
changeset

535 
All_Types  
44782  536 
Noninf_Nonmono_Types of soundness * heaviness  
537 
Fin_Nonmono_Types of heaviness  

44397
06375952f1fa
cleaner handling of polymorphic monotonicity inference
blanchet
parents:
44396
diff
changeset

538 
Const_Arg_Types  
43362  539 
No_Types 
42613
23b13b1bd565
use strings to encode type systems in ATP module, to reduce the amount of outofplace information and also to make it easier to print the type system used
blanchet
parents:
42612
diff
changeset

540 

43626
a867ebb12209
renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents:
43624
diff
changeset

541 
datatype type_enc = 
44591
0b107d11f634
extended simple types with polymorphism  the implementation still needs some work though
blanchet
parents:
44589
diff
changeset

542 
Simple_Types of order * polymorphism * type_level  
44768  543 
Guards of polymorphism * type_level  
544 
Tags of polymorphism * type_level 

545 

546 
fun is_type_enc_higher_order (Simple_Types (Higher_Order, _, _)) = true 

547 
 is_type_enc_higher_order _ = false 

548 

549 
fun polymorphism_of_type_enc (Simple_Types (_, poly, _)) = poly 

550 
 polymorphism_of_type_enc (Guards (poly, _)) = poly 

551 
 polymorphism_of_type_enc (Tags (poly, _)) = poly 

552 

553 
fun level_of_type_enc (Simple_Types (_, _, level)) = level 

554 
 level_of_type_enc (Guards (_, level)) = level 

555 
 level_of_type_enc (Tags (_, level)) = level 

556 

44782  557 
fun heaviness_of_level (Noninf_Nonmono_Types (_, heaviness)) = heaviness 
558 
 heaviness_of_level (Fin_Nonmono_Types heaviness) = heaviness 

559 
 heaviness_of_level _ = Heavy 

44768  560 

561 
fun is_type_level_quasi_sound All_Types = true 

562 
 is_type_level_quasi_sound (Noninf_Nonmono_Types _) = true 

563 
 is_type_level_quasi_sound _ = false 

564 
val is_type_enc_quasi_sound = is_type_level_quasi_sound o level_of_type_enc 

565 

566 
fun is_type_level_fairly_sound (Fin_Nonmono_Types _) = true 

567 
 is_type_level_fairly_sound level = is_type_level_quasi_sound level 

568 
val is_type_enc_fairly_sound = is_type_level_fairly_sound o level_of_type_enc 

569 

570 
fun is_type_level_monotonicity_based (Noninf_Nonmono_Types _) = true 

571 
 is_type_level_monotonicity_based (Fin_Nonmono_Types _) = true 

572 
 is_type_level_monotonicity_based _ = false 

42613
23b13b1bd565
use strings to encode type systems in ATP module, to reduce the amount of outofplace information and also to make it easier to print the type system used
blanchet
parents:
42612
diff
changeset

573 

42689
e38590764c34
versions of ! and ? for the ASCIIchallenged Mirabelle
blanchet
parents:
42688
diff
changeset

574 
fun try_unsuffixes ss s = 
e38590764c34
versions of ! and ? for the ASCIIchallenged Mirabelle
blanchet
parents:
42688
diff
changeset

575 
fold (fn s' => fn NONE => try (unsuffix s') s  some => some) ss NONE 
e38590764c34
versions of ! and ? for the ASCIIchallenged Mirabelle
blanchet
parents:
42688
diff
changeset

576 

44768  577 
val queries = ["?", "_query"] 
578 
val bangs = ["!", "_bang"] 

579 

44397
06375952f1fa
cleaner handling of polymorphic monotonicity inference
blanchet
parents:
44396
diff
changeset

580 
fun type_enc_from_string soundness s = 
42722  581 
(case try (unprefix "poly_") s of 
582 
SOME s => (SOME Polymorphic, s) 

42613
23b13b1bd565
use strings to encode type systems in ATP module, to reduce the amount of outofplace information and also to make it easier to print the type system used
blanchet
parents:
42612
diff
changeset

583 
 NONE => 
44494
a77901b3774e
rationalized option names  mono becomes raw_mono and mangled becomes mono
blanchet
parents:
44493
diff
changeset

584 
case try (unprefix "raw_mono_") s of 
a77901b3774e
rationalized option names  mono becomes raw_mono and mangled becomes mono
blanchet
parents:
44493
diff
changeset

585 
SOME s => (SOME Raw_Monomorphic, s) 
42722  586 
 NONE => 
44494
a77901b3774e
rationalized option names  mono becomes raw_mono and mangled becomes mono
blanchet
parents:
44493
diff
changeset

587 
case try (unprefix "mono_") s of 
42722  588 
SOME s => (SOME Mangled_Monomorphic, s) 
589 
 NONE => (NONE, s)) 

42613
23b13b1bd565
use strings to encode type systems in ATP module, to reduce the amount of outofplace information and also to make it easier to print the type system used
blanchet
parents:
42612
diff
changeset

590 
> (fn s => 
43624
de026aecab9b
cleaner handling of higherorder simple types, so that it's also possible to use firstorder simple types with LEOII and company
blanchet
parents:
43623
diff
changeset

591 
(* "_query" and "_bang" are for the ASCIIchallenged Metis and 
de026aecab9b
cleaner handling of higherorder simple types, so that it's also possible to use firstorder simple types with LEOII and company
blanchet
parents:
43623
diff
changeset

592 
Mirabelle. *) 
44768  593 
case try_unsuffixes queries s of 
594 
SOME s => 

595 
(case try_unsuffixes queries s of 

44782  596 
SOME s => (Noninf_Nonmono_Types (soundness, Ann_Light), s) 
597 
 NONE => (Noninf_Nonmono_Types (soundness, Heavy), s)) 

42613
23b13b1bd565
use strings to encode type systems in ATP module, to reduce the amount of outofplace information and also to make it easier to print the type system used
blanchet
parents:
42612
diff
changeset

598 
 NONE => 
44768  599 
case try_unsuffixes bangs s of 
600 
SOME s => 

601 
(case try_unsuffixes bangs s of 

44782  602 
SOME s => (Fin_Nonmono_Types Ann_Light, s) 
603 
 NONE => (Fin_Nonmono_Types Heavy, s)) 

42613
23b13b1bd565
use strings to encode type systems in ATP module, to reduce the amount of outofplace information and also to make it easier to print the type system used
blanchet
parents:
42612
diff
changeset

604 
 NONE => (All_Types, s)) 
44768  605 
> (fn (poly, (level, core)) => 
606 
case (core, (poly, level)) of 

607 
("simple", (SOME poly, _)) => 

44742  608 
(case (poly, level) of 
609 
(Polymorphic, All_Types) => 

610 
Simple_Types (First_Order, Polymorphic, All_Types) 

611 
 (Mangled_Monomorphic, _) => 

44782  612 
if heaviness_of_level level = Heavy then 
44768  613 
Simple_Types (First_Order, Mangled_Monomorphic, level) 
614 
else 

615 
raise Same.SAME 

44742  616 
 _ => raise Same.SAME) 
44768  617 
 ("simple_higher", (SOME poly, _)) => 
44591
0b107d11f634
extended simple types with polymorphism  the implementation still needs some work though
blanchet
parents:
44589
diff
changeset

618 
(case (poly, level) of 
44754  619 
(Polymorphic, All_Types) => 
620 
Simple_Types (Higher_Order, Polymorphic, All_Types) 

621 
 (_, Noninf_Nonmono_Types _) => raise Same.SAME 

44742  622 
 (Mangled_Monomorphic, _) => 
44782  623 
if heaviness_of_level level = Heavy then 
44768  624 
Simple_Types (Higher_Order, Mangled_Monomorphic, level) 
625 
else 

626 
raise Same.SAME 

44742  627 
 _ => raise Same.SAME) 
44768  628 
 ("guards", (SOME poly, _)) => Guards (poly, level) 
629 
 ("tags", (SOME Polymorphic, _)) => Tags (Polymorphic, level) 

630 
 ("tags", (SOME poly, _)) => Tags (poly, level) 

631 
 ("args", (SOME poly, All_Types (* naja *))) => 

632 
Guards (poly, Const_Arg_Types) 

633 
 ("erased", (NONE, All_Types (* naja *))) => 

634 
Guards (Polymorphic, No_Types) 

42753
c9552e617acc
drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents:
42750
diff
changeset

635 
 _ => raise Same.SAME) 
c9552e617acc
drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents:
42750
diff
changeset

636 
handle Same.SAME => error ("Unknown type system: " ^ quote s ^ ".") 
42613
23b13b1bd565
use strings to encode type systems in ATP module, to reduce the amount of outofplace information and also to make it easier to print the type system used
blanchet
parents:
42612
diff
changeset

637 

44754  638 
fun adjust_type_enc (THF (TPTP_Monomorphic, _, _)) 
639 
(Simple_Types (order, _, level)) = 

44591
0b107d11f634
extended simple types with polymorphism  the implementation still needs some work though
blanchet
parents:
44589
diff
changeset

640 
Simple_Types (order, Mangled_Monomorphic, level) 
44754  641 
 adjust_type_enc (THF _) type_enc = type_enc 
642 
 adjust_type_enc (TFF (TPTP_Monomorphic, _)) (Simple_Types (_, _, level)) = 

44591
0b107d11f634
extended simple types with polymorphism  the implementation still needs some work though
blanchet
parents:
44589
diff
changeset

643 
Simple_Types (First_Order, Mangled_Monomorphic, level) 
44754  644 
 adjust_type_enc (TFF _) (Simple_Types (_, poly, level)) = 
44591
0b107d11f634
extended simple types with polymorphism  the implementation still needs some work though
blanchet
parents:
44589
diff
changeset

645 
Simple_Types (First_Order, poly, level) 
0b107d11f634
extended simple types with polymorphism  the implementation still needs some work though
blanchet
parents:
44589
diff
changeset

646 
 adjust_type_enc format (Simple_Types (_, poly, level)) = 
44768  647 
adjust_type_enc format (Guards (poly, level)) 
44416
cabd06b69c18
added formats to the slice and use TFF for remote Vampire
blanchet
parents:
44410
diff
changeset

648 
 adjust_type_enc CNF_UEQ (type_enc as Guards stuff) = 
cabd06b69c18
added formats to the slice and use TFF for remote Vampire
blanchet
parents:
44410
diff
changeset

649 
(if is_type_enc_fairly_sound type_enc then Tags else Guards) stuff 
cabd06b69c18
added formats to the slice and use TFF for remote Vampire
blanchet
parents:
44410
diff
changeset

650 
 adjust_type_enc _ type_enc = type_enc 
43101
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

651 

44088
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

652 
fun lift_lambdas ctxt type_enc = 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

653 
map (close_form o Envir.eta_contract) #> rpair ctxt 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

654 
#> Lambda_Lifting.lift_lambdas 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

655 
(if polymorphism_of_type_enc type_enc = Polymorphic then 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

656 
SOME polymorphic_free_prefix 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

657 
else 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

658 
NONE) 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

659 
Lambda_Lifting.is_quantifier 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

660 
#> fst 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

661 

3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

662 
fun intentionalize_def (Const (@{const_name All}, _) $ Abs (_, _, t)) = 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

663 
intentionalize_def t 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

664 
 intentionalize_def (Const (@{const_name HOL.eq}, _) $ t $ u) = 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

665 
let 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

666 
fun lam T t = Abs (Name.uu, T, t) 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

667 
val (head, args) = strip_comb t > rev 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

668 
val head_T = fastype_of head 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

669 
val n = length args 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

670 
val arg_Ts = head_T > binder_types > take n > rev 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

671 
val u = u > subst_atomic (args ~~ map Bound (0 upto n  1)) 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

672 
in HOLogic.eq_const head_T $ head $ fold lam arg_Ts u end 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

673 
 intentionalize_def t = t 
3693baa6befb
move lambdalifting code to ATP encoding, so it can be used by Metis
blanchet
parents:
44003
diff
changeset

674 

40114  675 
type translated_formula = 
43496
92f5a4c78b37
remove historical bloat  another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents:
43495
diff
changeset

676 
{name : string, 
92f5a4c78b37
remove historical bloat  another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents:
43495
diff
changeset

677 
locality : locality, 
92f5a4c78b37
remove historical bloat  another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents:
43495
diff
changeset

678 
kind : formula_kind, 
43859  679 
iformula : (name, typ, iterm) formula, 
43496
92f5a4c78b37
remove historical bloat  another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents:
43495
diff
changeset

680 
atomic_types : typ list} 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

681 

43859  682 
fun update_iformula f ({name, locality, kind, iformula, atomic_types} 
683 
: translated_formula) = 

684 
{name = name, locality = locality, kind = kind, iformula = f iformula, 

42562  685 
atomic_types = atomic_types} : translated_formula 
42542
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

686 

43859  687 
fun fact_lift f ({iformula, ...} : translated_formula) = f iformula 
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset

688 

43064
b6e61d22fa61
made "explicit_apply" smarter  no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents:
43039
diff
changeset

689 
fun insert_type ctxt get_T x xs = 
b6e61d22fa61
made "explicit_apply" smarter  no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents:
43039
diff
changeset

690 
let val T = get_T x in 
44399  691 
if exists (type_instance ctxt T o get_T) xs then xs 
692 
else x :: filter_out (type_generalization ctxt T o get_T) xs 

43064
b6e61d22fa61
made "explicit_apply" smarter  no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents:
43039
diff
changeset

693 
end 
42677
25496cd3c199
monotonic type inference in ATP Sledgehammer problems  based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset

694 

42753
c9552e617acc
drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents:
42750
diff
changeset

695 
(* The Booleans indicate whether all type arguments should be kept. *) 
c9552e617acc
drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents:
42750
diff
changeset

696 
datatype type_arg_policy = 
c9552e617acc
drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents:
42750
diff
changeset

697 
Explicit_Type_Args of bool  
44771  698 
Mangled_Type_Args  
42753
c9552e617acc
drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents:
42750
diff
changeset

699 
No_Type_Args 
41136
30bedf58b177
implemented new type system encoding "overload_args", which is more lightweight than "const_args" (the unsound default) and hopefully almost as sound
blanchet
parents:
41134
diff
changeset

700 

44594
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

701 
fun should_drop_arg_type_args (Simple_Types _) = false 
43626
a867ebb12209
renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents:
43624
diff
changeset

702 
 should_drop_arg_type_args type_enc = 
44768  703 
level_of_type_enc type_enc = All_Types 
42831
c9b0968484fb
more work on "shallow" encoding + adjustments to other encodings
blanchet
parents:
42830
diff
changeset

704 

43626
a867ebb12209
renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents:
43624
diff
changeset

705 
fun type_arg_policy type_enc s = 
44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

706 
let val mangled = (polymorphism_of_type_enc type_enc = Mangled_Monomorphic) in 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

707 
if s = type_tag_name then 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

708 
if mangled then Mangled_Type_Args else Explicit_Type_Args false 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

709 
else case type_enc of 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

710 
Tags (_, All_Types) => No_Type_Args 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

711 
 _ => 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

712 
let val level = level_of_type_enc type_enc in 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

713 
if level = No_Types orelse s = @{const_name HOL.eq} orelse 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

714 
(s = app_op_name andalso level = Const_Arg_Types) then 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

715 
No_Type_Args 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

716 
else if mangled then 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

717 
Mangled_Type_Args 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

718 
else 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

719 
Explicit_Type_Args (should_drop_arg_type_args type_enc) 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

720 
end 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

721 
end 
42227
662b50b7126f
if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents:
42180
diff
changeset

722 

44625  723 
(* Make atoms for sorted type variables. *) 
43263  724 
fun generic_add_sorts_on_type (_, []) = I 
725 
 generic_add_sorts_on_type ((x, i), s :: ss) = 

726 
generic_add_sorts_on_type ((x, i), ss) 

727 
#> (if s = the_single @{sort HOL.type} then 

43093  728 
I 
729 
else if i = ~1 then 

44623  730 
insert (op =) (`make_type_class s, `make_fixed_type_var x) 
43093  731 
else 
44623  732 
insert (op =) (`make_type_class s, 
733 
(make_schematic_type_var (x, i), x))) 

43263  734 
fun add_sorts_on_tfree (TFree (s, S)) = generic_add_sorts_on_type ((s, ~1), S) 
735 
 add_sorts_on_tfree _ = I 

736 
fun add_sorts_on_tvar (TVar z) = generic_add_sorts_on_type z 

737 
 add_sorts_on_tvar _ = I 

43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

738 

44625  739 
val tvar_a_str = "'a" 
740 
val tvar_a = TVar ((tvar_a_str, 0), HOLogic.typeS) 

741 
val tvar_a_name = (make_schematic_type_var (tvar_a_str, 0), tvar_a_str) 

742 
val itself_name = `make_fixed_type_const @{type_name itself} 

743 
val TYPE_name = `(make_fixed_const NONE) @{const_name TYPE} 

744 
val tvar_a_atype = AType (tvar_a_name, []) 

745 
val a_itself_atype = AType (itself_name, [tvar_a_atype]) 

746 

747 
fun type_class_formula type_enc class arg = 

748 
AAtom (ATerm (class, arg :: 

749 
(case type_enc of 

44754  750 
Simple_Types (First_Order, Polymorphic, _) => 
751 
if avoid_first_order_dummy_type_vars then [ATerm (TYPE_name, [arg])] 

752 
else [] 

44625  753 
 _ => []))) 
754 
fun formulas_for_types type_enc add_sorts_on_typ Ts = 

43626
a867ebb12209
renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents:
43624
diff
changeset

755 
[] > level_of_type_enc type_enc <> No_Types ? fold add_sorts_on_typ Ts 
44625  756 
> map (fn (class, name) => 
757 
type_class_formula type_enc class (ATerm (name, []))) 

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

758 

42534
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

759 
fun mk_aconns c phis = 
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

760 
let val (phis', phi') = split_last phis in 
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

761 
fold_rev (mk_aconn c) phis' phi' 
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

762 
end 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

763 
fun mk_ahorn [] phi = phi 
42534
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

764 
 mk_ahorn phis psi = AConn (AImplies, [mk_aconns AAnd phis, psi]) 
42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

765 
fun mk_aquant _ [] phi = phi 
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

766 
 mk_aquant q xs (phi as AQuant (q', xs', phi')) = 
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

767 
if q = q' then AQuant (q, xs @ xs', phi') else AQuant (q, xs, phi) 
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

768 
 mk_aquant q xs phi = AQuant (q, xs, phi) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

769 

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

770 
fun close_universally atom_vars phi = 
41145
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents:
41140
diff
changeset

771 
let 
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents:
41140
diff
changeset

772 
fun formula_vars bounds (AQuant (_, xs, phi)) = 
42526  773 
formula_vars (map fst xs @ bounds) phi 
41145
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents:
41140
diff
changeset

774 
 formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis 
42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

775 
 formula_vars bounds (AAtom tm) = 
42526  776 
union (op =) (atom_vars tm [] 
777 
> filter_out (member (op =) bounds o fst)) 

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

778 
in mk_aquant AForall (formula_vars [] phi []) phi end 
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

779 

43859  780 
fun iterm_vars (IApp (tm1, tm2)) = fold iterm_vars [tm1, tm2] 
781 
 iterm_vars (IConst _) = I 

782 
 iterm_vars (IVar (name, T)) = insert (op =) (name, SOME T) 

783 
 iterm_vars (IAbs (_, tm)) = iterm_vars tm 

784 
fun close_iformula_universally phi = close_universally iterm_vars phi 

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

785 

44593
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

786 
fun term_vars type_enc = 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

787 
let 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

788 
fun vars bounds (ATerm (name as (s, _), tms)) = 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

789 
(if is_tptp_variable s andalso not (member (op =) bounds name) then 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

790 
(case type_enc of 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

791 
Simple_Types (_, Polymorphic, _) => 
44595
444d111bde7d
generate properly typed TFF1 (PFF) problems in the presence of type class predicates
blanchet
parents:
44594
diff
changeset

792 
if String.isPrefix tvar_prefix s then SOME atype_of_types 
444d111bde7d
generate properly typed TFF1 (PFF) problems in the presence of type class predicates
blanchet
parents:
44594
diff
changeset

793 
else NONE 
44593
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

794 
 _ => NONE) 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

795 
> pair name > insert (op =) 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

796 
else 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

797 
I) 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

798 
#> fold (vars bounds) tms 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

799 
 vars bounds (AAbs ((name, _), tm)) = vars (name :: bounds) tm 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

800 
in vars end 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

801 
fun close_formula_universally type_enc = 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

802 
close_universally (term_vars type_enc []) 
41145
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents:
41140
diff
changeset

803 

44594
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

804 
val fused_infinite_type_name = @{type_name ind} (* any infinite type *) 
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

805 
val fused_infinite_type = Type (fused_infinite_type_name, []) 
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

806 

ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

807 
fun tvar_name (x as (s, _)) = (make_schematic_type_var x, s) 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

808 

43676
3b0b448b4d69
add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes firstorder)
nik
parents:
43628
diff
changeset

809 
fun ho_term_from_typ format type_enc = 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

810 
let 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

811 
fun term (Type (s, Ts)) = 
43626
a867ebb12209
renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents:
43624
diff
changeset

812 
ATerm (case (is_type_enc_higher_order type_enc, s) of 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

813 
(true, @{type_name bool}) => `I tptp_bool_type 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

814 
 (true, @{type_name fun}) => `I tptp_fun_type 
44594
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

815 
 _ => if s = fused_infinite_type_name andalso 
44235
85e9dad3c187
distinguish THF syntax with and without choice (Satallax vs. LEOII)
blanchet
parents:
44121
diff
changeset

816 
is_format_typed format then 
43178
b5862142d378
use "" type only in THF and TFF  might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents:
43175
diff
changeset

817 
`I tptp_individual_type 
b5862142d378
use "" type only in THF and TFF  might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents:
43175
diff
changeset

818 
else 
b5862142d378
use "" type only in THF and TFF  might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents:
43175
diff
changeset

819 
`make_fixed_type_const s, 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

820 
map term Ts) 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

821 
 term (TFree (s, _)) = ATerm (`make_fixed_type_var s, []) 
44594
ae82943481e9
added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents:
44593
diff
changeset

822 
 term (TVar (x, _)) = ATerm (tvar_name x, []) 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

823 
in term end 
42562  824 

43676
3b0b448b4d69
add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes firstorder)
nik
parents:
43628
diff
changeset

825 
fun ho_term_for_type_arg format type_enc T = 
3b0b448b4d69
add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes firstorder)
nik
parents:
43628
diff
changeset

826 
if T = dummyT then NONE else SOME (ho_term_from_typ format type_enc T) 
43401
e93dfcb53535
fixed soundness bug made more visible by previous change
blanchet
parents:
43399
diff
changeset

827 

42562  828 
(* This shouldn't clash with anything else. *) 
42542
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

829 
val mangled_type_sep = "\000" 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

830 

42562  831 
fun generic_mangled_type_name f (ATerm (name, [])) = f name 
832 
 generic_mangled_type_name f (ATerm (name, tys)) = 

42761
8ea9c6fa8b53
fixed several bugs in Isar proof reconstruction, in particular w.r.t. mangled types and hAPP
blanchet
parents:
42755
diff
changeset

833 
f name ^ "(" ^ space_implode "," (map (generic_mangled_type_name f) tys) 
8ea9c6fa8b53
fixed several bugs in Isar proof reconstruction, in particular w.r.t. mangled types and hAPP
blanchet
parents:
42755
diff
changeset

834 
^ ")" 
43692  835 
 generic_mangled_type_name _ _ = raise Fail "unexpected type abstraction" 
42542
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

836 

44396
66b9b3fcd608
started cleaning up polymorphic monotonicitybased encodings, based on discussions with Nick Smallbone
blanchet
parents:
44394
diff
changeset

837 
fun mangled_type format type_enc = 
66b9b3fcd608
started cleaning up polymorphic monotonicitybased encodings, based on discussions with Nick Smallbone
blanchet
parents:
44394
diff
changeset

838 
generic_mangled_type_name fst o ho_term_from_typ format type_enc 
66b9b3fcd608
started cleaning up polymorphic monotonicitybased encodings, based on discussions with Nick Smallbone
blanchet
parents:
44394
diff
changeset

839 

43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

840 
fun make_simple_type s = 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

841 
if s = tptp_bool_type orelse s = tptp_fun_type orelse 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

842 
s = tptp_individual_type then 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

843 
s 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

844 
else 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

845 
simple_type_prefix ^ ascii_of s 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

846 

43676
3b0b448b4d69
add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes firstorder)
nik
parents:
43628
diff
changeset

847 
fun ho_type_from_ho_term type_enc pred_sym ary = 
42963  848 
let 
44593
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

849 
fun to_mangled_atype ty = 
42963  850 
AType ((make_simple_type (generic_mangled_type_name fst ty), 
44593
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

851 
generic_mangled_type_name snd ty), []) 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

852 
fun to_poly_atype (ATerm (name, tys)) = AType (name, map to_poly_atype tys) 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

853 
 to_poly_atype _ = raise Fail "unexpected type abstraction" 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

854 
val to_atype = 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

855 
if polymorphism_of_type_enc type_enc = Polymorphic then to_poly_atype 
ccf40af26ae9
implement more of the polymorphic simply typed format TFF(1)
blanchet
parents:
44591
diff
changeset

856 
else to_mangled_atype 
42963  857 
fun to_afun f1 f2 tys = AFun (f1 (hd tys), f2 (nth tys 1)) 
42998
1c80902d0456
fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents:
42994
diff
changeset

858 
fun to_fo 0 ty = if pred_sym then bool_atype else to_atype ty 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

859 
 to_fo ary (ATerm (_, tys)) = to_afun to_atype (to_fo (ary  1)) tys 
43692  860 
 to_fo _ _ = raise Fail "unexpected type abstraction" 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

861 
fun to_ho (ty as ATerm ((s, _), tys)) = 
43676
3b0b448b4d69
add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes firstorder)
nik
parents:
43628
diff
changeset

862 
if s = tptp_fun_type then to_afun to_ho to_ho tys else to_atype ty 
3b0b448b4d69
add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes firstorder)
nik
parents:
43628
diff
changeset

863 
 to_ho _ = raise Fail "unexpected type abstraction" 
43626
a867ebb12209
renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents:
43624
diff
changeset

864 
in if is_type_enc_higher_order type_enc then to_ho else to_fo ary end 
42963  865 

43677  866 
fun ho_type_from_typ format type_enc pred_sym ary = 
43676
3b0b448b4d69
add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes firstorder)
nik
parents:
43628
diff
changeset

867 
ho_type_from_ho_term type_enc pred_sym ary 
3b0b448b4d69
add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes firstorder)
nik
parents:
43628
diff
changeset

868 
o ho_term_from_typ format type_enc 
42963  869 

43626
a867ebb12209
renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents:
43624
diff
changeset

870 
fun mangled_const_name format type_enc T_args (s, s') = 
42963  871 
let 
43676
3b0b448b4d69
add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes firstorder)
nik
parents:
43628
diff
changeset

872 
val ty_args = T_args > map_filter (ho_term_for_type_arg format type_enc) 
42963  873 
fun type_suffix f g = 
874 
fold_rev (curry (op ^) o g o prefix mangled_type_sep 

875 
o generic_mangled_type_name f) ty_args "" 

876 
in (s ^ type_suffix fst ascii_of, s' ^ type_suffix snd I) end 

42542
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

877 

024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

878 
val parse_mangled_ident = 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

879 
Scan.many1 (not o member (op =) ["(", ")", ","]) >> implode 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

880 

024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

881 
fun parse_mangled_type x = 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

882 
(parse_mangled_ident 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

883 
 Scan.optional ($$ "("  Scan.optional parse_mangled_types []  $$ ")") 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

884 
[] >> ATerm) x 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

885 
and parse_mangled_types x = 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

886 
(parse_mangled_type ::: Scan.repeat ($$ ","  parse_mangled_type)) x 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

887 

024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

888 
fun unmangled_type s = 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

889 
s > suffix ")" > raw_explode 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

890 
> Scan.finite Symbol.stopper 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

891 
(Scan.error (!! (fn _ => raise Fail ("unrecognized mangled type " ^ 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

892 
quote s)) parse_mangled_type)) 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

893 
> fst 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

894 

42561
23ddc4e3d19c
have properly typeinstantiated helper facts (combinators and If)
blanchet
parents:
42560
diff
changeset

895 
val unmangled_const_name = space_explode mangled_type_sep #> hd 
42542
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

896 
fun unmangled_const s = 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

897 
let val ss = space_explode mangled_type_sep s in 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

898 
(hd ss, map unmangled_type (tl ss)) 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

899 
end 
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset

900 

44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

901 
fun introduce_proxies_in_iterm type_enc = 
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset

902 
let 
43987
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

903 
fun tweak_ho_quant ho_quant T [IAbs _] = IConst (`I ho_quant, T, []) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

904 
 tweak_ho_quant ho_quant (T as Type (_, [p_T as Type (_, [x_T, _]), _])) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

905 
_ = 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

906 
(* Etaexpand "!!" and "??", to work around LEOII 1.2.8 parser 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

907 
limitation. This works in conjuction with special code in 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

908 
"ATP_Problem" that uses the syntactic sugar "!" and "?" whenever 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

909 
possible. *) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

910 
IAbs ((`I "P", p_T), 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

911 
IApp (IConst (`I ho_quant, T, []), 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

912 
IAbs ((`I "X", x_T), 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

913 
IApp (IConst (`I "P", p_T, []), 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

914 
IConst (`I "X", x_T, []))))) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

915 
 tweak_ho_quant _ _ _ = raise Fail "unexpected type for quantifier" 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

916 
fun intro top_level args (IApp (tm1, tm2)) = 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

917 
IApp (intro top_level (tm2 :: args) tm1, intro false [] tm2) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

918 
 intro top_level args (IConst (name as (s, _), T, T_args)) = 
42570
77f94ac04f32
cleanup proxification/unproxification and make sure that "num_atp_type_args" is called on the proxy in the reconstruction code, since "c_fequal" has one type arg but the unproxified equal has 0
blanchet
parents:
42569
diff
changeset

919 
(case proxify_const s of 
43159
29b55f292e0b
added support for helpers in new Metis, so far only for polymorphic type encodings
blanchet
parents:
43139
diff
changeset

920 
SOME proxy_base => 
43626
a867ebb12209
renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents:
43624
diff
changeset

921 
if top_level orelse is_type_enc_higher_order type_enc then 
43000
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

922 
case (top_level, s) of 
43987
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

923 
(_, "c_False") => IConst (`I tptp_false, T, []) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

924 
 (_, "c_True") => IConst (`I tptp_true, T, []) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

925 
 (false, "c_Not") => IConst (`I tptp_not, T, []) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

926 
 (false, "c_conj") => IConst (`I tptp_and, T, []) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

927 
 (false, "c_disj") => IConst (`I tptp_or, T, []) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

928 
 (false, "c_implies") => IConst (`I tptp_implies, T, []) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

929 
 (false, "c_All") => tweak_ho_quant tptp_ho_forall T args 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

930 
 (false, "c_Ex") => tweak_ho_quant tptp_ho_exists T args 
43000
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

931 
 (false, s) => 
44097  932 
if is_tptp_equal s andalso length args = 2 then 
933 
IConst (`I tptp_equal, T, []) 

934 
else 

44589
0a1dfc6365e9
first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents:
44587
diff
changeset

935 
(* Use a proxy even for partially applied THF0 equality, 
0a1dfc6365e9
first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents:
44587
diff
changeset

936 
because the LEOII and Satallax parsers complain about not 
0a1dfc6365e9
first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents:
44587
diff
changeset

937 
being able to infer the type of "=". *) 
44097  938 
IConst (proxy_base >> prefix const_prefix, T, T_args) 
43987
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

939 
 _ => IConst (name, T, []) 
42569
5737947e4c77
make sure that fequal keeps its type arguments for mangled type systems
blanchet
parents:
42568
diff
changeset

940 
else 
43987
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

941 
IConst (proxy_base >> prefix const_prefix, T, T_args) 
44495  942 
 NONE => if s = tptp_choice then 
943 
tweak_ho_quant tptp_choice T args 

44589
0a1dfc6365e9
first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents:
44587
diff
changeset

944 
else 
0a1dfc6365e9
first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents:
44587
diff
changeset

945 
IConst (name, T, T_args)) 
43987
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

946 
 intro _ _ (IAbs (bound, tm)) = IAbs (bound, intro false [] tm) 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

947 
 intro _ _ tm = tm 
2850b7dc27a4
further worked around LEOII parser limitation, with etaexpansion
blanchet
parents:
43985
diff
changeset

948 
in intro true [] end 
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset

949 

44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

950 
fun mangle_type_args_in_iterm format type_enc = 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

951 
if polymorphism_of_type_enc type_enc = Mangled_Monomorphic then 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

952 
let 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

953 
fun mangle (IApp (tm1, tm2)) = IApp (mangle tm1, mangle tm2) 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

954 
 mangle (tm as IConst (_, _, [])) = tm 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

955 
 mangle (tm as IConst (name as (s, _), T, T_args)) = 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

956 
(case strip_prefix_and_unascii const_prefix s of 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

957 
NONE => tm 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

958 
 SOME s'' => 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

959 
case type_arg_policy type_enc (invert_const s'') of 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

960 
Mangled_Type_Args => 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

961 
IConst (mangled_const_name format type_enc T_args name, T, []) 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

962 
 _ => tm) 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

963 
 mangle (IAbs (bound, tm)) = IAbs (bound, mangle tm) 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

964 
 mangle tm = tm 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

965 
in mangle end 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

966 
else 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

967 
I 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

968 

44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

969 
fun chop_fun 0 T = ([], T) 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

970 
 chop_fun n (Type (@{type_name fun}, [dom_T, ran_T])) = 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

971 
chop_fun (n  1) ran_T >> cons dom_T 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

972 
 chop_fun _ T = ([], T) 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

973 

44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

974 
fun filter_const_type_args _ _ _ [] = [] 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

975 
 filter_const_type_args thy s ary T_args = 
44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

976 
let 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

977 
val U = robust_const_type thy s 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

978 
val arg_U_vars = fold Term.add_tvarsT (U > chop_fun ary > fst) [] 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

979 
val U_args = (s, U) > robust_const_typargs thy 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

980 
in 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

981 
U_args ~~ T_args 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

982 
> map (fn (U, T) => 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

983 
if member (op =) arg_U_vars (dest_TVar U) then dummyT else T) 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

984 
end 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

985 
handle TYPE _ => T_args 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

986 

44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

987 
fun filter_type_args_in_iterm thy type_enc = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

988 
let 
44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

989 
fun filt ary (IApp (tm1, tm2)) = IApp (filt (ary + 1) tm1, filt 0 tm2) 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

990 
 filt _ (tm as IConst (_, _, [])) = tm 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

991 
 filt ary (IConst (name as (s, _), T, T_args)) = 
44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

992 
(case strip_prefix_and_unascii const_prefix s of 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

993 
NONE => 
44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

994 
(name, 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

995 
if level_of_type_enc type_enc = No_Types orelse s = tptp_choice then 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

996 
[] 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

997 
else 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

998 
T_args) 
44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

999 
 SOME s'' => 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1000 
let 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1001 
val s'' = invert_const s'' 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1002 
fun filter_T_args false = T_args 
44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

1003 
 filter_T_args true = filter_const_type_args thy s'' ary T_args 
44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1004 
in 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1005 
case type_arg_policy type_enc s'' of 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1006 
Explicit_Type_Args drop_args => (name, filter_T_args drop_args) 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1007 
 No_Type_Args => (name, []) 
44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

1008 
 Mangled_Type_Args => raise Fail "unexpected (un)mangled symbol" 
44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1009 
end) 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1010 
> (fn (name, T_args) => IConst (name, T, T_args)) 
44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

1011 
 filt _ (IAbs (bound, tm)) = IAbs (bound, filt 0 tm) 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

1012 
 filt _ tm = tm 
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

1013 
in filt 0 end 
44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1014 

e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1015 
fun iformula_from_prop ctxt format type_enc eq_as_iff = 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1016 
let 
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1017 
val thy = Proof_Context.theory_of ctxt 
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset

1018 
fun do_term bs t atomic_types = 
44495  1019 
iterm_from_term thy format bs (Envir.eta_contract t) 
44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1020 
>> (introduce_proxies_in_iterm type_enc 
44774
72785558a6ff
separate mangling, which can (and should) be done before the formulas are firstorderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents:
44773
diff
changeset

1021 
#> mangle_type_args_in_iterm format type_enc 
44773
e701dabbfe37
perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents:
44772
diff
changeset

1022 
#> AAtom) 
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset

1023 
> union (op =) atomic_types 
44403
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1024 
fun do_quant bs q pos s T t' = 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1025 
let 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1026 
val s = singleton (Name.variant_list (map fst bs)) s 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1027 
val universal = Option.map (q = AExists ? not) pos 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1028 
val name = 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1029 
s > `(case universal of 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1030 
SOME true => make_all_bound_var 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1031 
 SOME false => make_exist_bound_var 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1032 
 NONE => make_bound_var) 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1033 
in 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1034 
do_formula ((s, (name, T)) :: bs) pos t' 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1035 
#>> mk_aquant q [(name, SOME T)] 
38518
54727b44e277
handle bound name conflicts gracefully in FOF translation
blanchet
parents:
38496
diff
changeset

1036 
end 
44403
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1037 
and do_conn bs c pos1 t1 pos2 t2 = 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1038 
do_formula bs pos1 t1 ##>> do_formula bs pos2 t2 #>> uncurry (mk_aconn c) 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1039 
and do_formula bs pos t = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1040 
case t of 
44403
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1041 
@{const Trueprop} $ t1 => do_formula bs pos t1 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1042 
 @{const Not} $ t1 => do_formula bs (Option.map not pos) t1 #>> mk_anot 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1043 
 Const (@{const_name All}, _) $ Abs (s, T, t') => 
44403
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1044 
do_quant bs AForall pos s T t' 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1045 
 Const (@{const_name Ex}, _) $ Abs (s, T, t') => 
44403
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1046 
do_quant bs AExists pos s T t' 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1047 
 @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd pos t1 pos t2 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1048 
 @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr pos t1 pos t2 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1049 
 @{const HOL.implies} $ t1 $ t2 => 
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1050 
do_conn bs AImplies (Option.map not pos) t1 pos t2 
38864
4abe644fcea5
formerly unnamed infix equality now named HOL.eq
haftmann
parents:
38829
diff
changeset

1051 
 Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 => 
44403
15160cdc4688
precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents:
44402
diff
changeset

1052 
if eq_as_iff then do_conn bs AIff NONE t1 NONE t2 else do_term bs t 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

1053 
 _ => do_term bs t 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1054 
in do_formula [] end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1055 

43264
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

1056 
fun presimplify_term _ [] t = t 
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

1057 
 presimplify_term ctxt presimp_consts t = 
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

1058 
t > exists_Const (member (op =) presimp_consts o fst) t 
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

1059 
? (Skip_Proof.make_thm (Proof_Context.theory_of ctxt) 
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

1060 
#> Meson.presimplify ctxt 
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

1061 
#> prop_of) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1062 

43863
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1063 
fun concealed_bound_name j = atp_weak_prefix ^ string_of_int j 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1064 
fun conceal_bounds Ts t = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1065 
subst_bounds (map (Free o apfst concealed_bound_name) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1066 
(0 upto length Ts  1 ~~ Ts), t) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1067 
fun reveal_bounds Ts = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1068 
subst_atomic (map (fn (j, T) => (Free (concealed_bound_name j, T), Bound j)) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1069 
(0 upto length Ts  1 ~~ Ts)) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1070 

43265  1071 
fun is_fun_equality (@{const_name HOL.eq}, 
1072 
Type (_, [Type (@{type_name fun}, _), _])) = true 

1073 
 is_fun_equality _ = false 

1074 

42747
f132d13fcf75
use the same code for extensionalization in Metis and Sledgehammer and generalize that code so that it gracefully handles negations (e.g. negated conjecture), formulas of the form (%x. t) = u, etc.
blanchet
parents:
42742
diff
changeset

1075 
fun extensionalize_term ctxt t = 
43265  1076 
if exists_Const is_fun_equality t then 
1077 
let val thy = Proof_Context.theory_of ctxt in 

1078 
t > cterm_of thy > Meson.extensionalize_conv ctxt 

1079 
> prop_of > Logic.dest_equals > snd 

1080 
end 

1081 
else 

1082 
t 

38608
01ed56c46259
beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents:
38606
diff
changeset

1083 

43862  1084 
fun simple_translate_lambdas do_lambdas ctxt t = 
43863
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1085 
let val thy = Proof_Context.theory_of ctxt in 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1086 
if Meson.is_fol_term thy t then 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1087 
t 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1088 
else 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1089 
let 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1090 
fun aux Ts t = 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1091 
case t of 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1092 
@{const Not} $ t1 => @{const Not} $ aux Ts t1 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1093 
 (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') => 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1094 
t0 $ Abs (s, T, aux (T :: Ts) t') 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1095 
 (t0 as Const (@{const_name All}, _)) $ t1 => 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1096 
aux Ts (t0 $ eta_expand Ts t1 1) 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1097 
 (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') => 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1098 
t0 $ Abs (s, T, aux (T :: Ts) t') 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1099 
 (t0 as Const (@{const_name Ex}, _)) $ t1 => 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1100 
aux Ts (t0 $ eta_expand Ts t1 1) 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1101 
 (t0 as @{const HOL.conj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1102 
 (t0 as @{const HOL.disj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1103 
 (t0 as @{const HOL.implies}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1104 
 (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _]))) 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1105 
$ t1 $ t2 => 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1106 
t0 $ aux Ts t1 $ aux Ts t2 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1107 
 _ => 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1108 
if not (exists_subterm (fn Abs _ => true  _ => false) t) then t 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1109 
else t > Envir.eta_contract > do_lambdas ctxt Ts 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1110 
val (t, ctxt') = Variable.import_terms true [t] ctxt >> the_single 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1111 
in t > aux [] > singleton (Variable.export_terms ctxt' ctxt) end 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1112 
end 
43856
d636b053d4ff
move more lambdahandling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents:
43830
diff
changeset

1113 

43997  1114 
fun do_cheaply_conceal_lambdas Ts (t1 $ t2) = 
1115 
do_cheaply_conceal_lambdas Ts t1 

1116 
$ do_cheaply_conceal_lambdas Ts t2 

1117 
 do_cheaply_conceal_lambdas Ts (Abs (_, T, t)) = 

1118 
Free (polymorphic_free_prefix ^ serial_string (), 

1119 
T > fastype_of1 (T :: Ts, t)) 

1120 
 do_cheaply_conceal_lambdas _ t = t 

43856
d636b053d4ff
move more lambdahandling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents:
43830
diff
changeset

1121 

43862  1122 
fun do_introduce_combinators ctxt Ts t = 
42361  1123 
let val thy = Proof_Context.theory_of ctxt in 
43905
1ace987e22e5
avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns  this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents:
43864
diff
changeset

1124 
t > conceal_bounds Ts 
1ace987e22e5
avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns  this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents:
43864
diff
changeset

1125 
> cterm_of thy 
1ace987e22e5
avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns  this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents:
43864
diff
changeset

1126 
> Meson_Clausify.introduce_combinators_in_cterm 
1ace987e22e5
avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns  this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents:
43864
diff
changeset

1127 
> prop_of > Logic.dest_equals > snd 
1ace987e22e5
avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns  this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents:
43864
diff
changeset

1128 
> reveal_bounds Ts 
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

1129 
end 
43862  1130 
(* A type variable of sort "{}" will make abstraction fail. *) 
43997  1131 
handle THM _ => t > do_cheaply_conceal_lambdas Ts 
43862  1132 
val introduce_combinators = simple_translate_lambdas do_introduce_combinators 
1133 

43864
58a7b3fdc193
fixed lambdaliftg: must ensure the formulas are in close form
blanchet
parents:
43863
diff
changeset

1134 
fun preprocess_abstractions_in_terms trans_lambdas facts = 
43862  1135 
let 
43863
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1136 
val (facts, lambda_ts) = 
44501  1137 
facts > map (snd o snd) > trans_lambdas 
43863
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1138 
>> map2 (fn (name, (kind, _)) => fn t => (name, (kind, t))) facts 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1139 
val lambda_facts = 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1140 
map2 (fn t => fn j => 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1141 
((lambda_fact_prefix ^ Int.toString j, Helper), (Axiom, t))) 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1142 
lambda_ts (1 upto length lambda_ts) 
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1143 
in (facts, lambda_facts) end 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1144 

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

1145 
(* Metis's use of "resolve_tac" freezes the schematic variables. We simulate the 
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

1146 
same in Sledgehammer to prevent the discovery of unreplayable proofs. *) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1147 
fun freeze_term t = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1148 
let 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1149 
fun aux (t $ u) = aux t $ aux u 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1150 
 aux (Abs (s, T, t)) = Abs (s, T, aux t) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1151 
 aux (Var ((s, i), T)) = 
43863
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1152 
Free (atp_weak_prefix ^ s ^ "_" ^ string_of_int i, T) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1153 
 aux t = t 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1154 
in t > exists_subterm is_Var t ? aux end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1155 

43863
a43d61270142
ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambdalifting (freshness of new names)
blanchet
parents:
43862
diff
changeset

1156 
fun presimp_prop ctxt presimp_consts t = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1157 
let 
42361  1158 
val thy = Proof_Context.theory_of ctxt 
38608
01ed56c46259
beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents:
38606
diff
changeset

1159 
val t = t > Envir.beta_eta_contract 
42944
9e620869a576
improved Waldmeister support  even run it by default on unit equational goals
blanchet
parents:
42943
diff
changeset

1160 
> transform_elim_prop 
41211
1e2e16bc0077
no need to do a superduper atomization if Metis fails afterwards anyway
blanchet
parents:
41199
diff
changeset

1161 
> Object_Logic.atomize_term thy 
42563  1162 
val need_trueprop = (fastype_of t = @{typ bool}) 
43096  1163 
in 
1164 
t > need_trueprop ? HOLogic.mk_Trueprop 
