author | blanchet |
Thu, 24 Mar 2011 17:49:27 +0100 | |
changeset 42107 | a6725f293377 |
parent 42101 | 2c75267e7b8d |
child 42270 | 5f2960582e45 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/Metis/metis_reconstruct.ML |
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Author: Kong W. Susanto, Cambridge University Computer Laboratory |
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Author: Lawrence C. Paulson, Cambridge University Computer Laboratory |
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Author: Jasmin Blanchette, TU Muenchen |
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Copyright Cambridge University 2007 |
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Proof reconstruction for Metis. |
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*) |
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signature METIS_RECONSTRUCT = |
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sig |
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type mode = Metis_Translate.mode |
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val trace : bool Config.T |
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val trace_msg : Proof.context -> (unit -> string) -> unit |
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val verbose : bool Config.T |
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val verbose_warning : Proof.context -> string -> unit |
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val lookth : (Metis_Thm.thm * 'a) list -> Metis_Thm.thm -> 'a |
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val untyped_aconv : term -> term -> bool |
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val replay_one_inference : |
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Proof.context -> mode -> (string * term) list * int Unsynchronized.ref |
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-> Metis_Thm.thm * Metis_Proof.inference -> (Metis_Thm.thm * thm) list |
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-> (Metis_Thm.thm * thm) list |
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val discharge_skolem_premises : |
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Proof.context -> (thm * term) option list -> thm -> thm |
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val setup : theory -> theory |
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end; |
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structure Metis_Reconstruct : METIS_RECONSTRUCT = |
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struct |
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open Metis_Translate |
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val (trace, trace_setup) = Attrib.config_bool "metis_trace" (K false) |
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val (verbose, verbose_setup) = Attrib.config_bool "metis_verbose" (K true) |
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fun trace_msg ctxt msg = if Config.get ctxt trace then tracing (msg ()) else () |
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fun verbose_warning ctxt msg = |
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if Config.get ctxt verbose then warning msg else () |
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datatype term_or_type = SomeTerm of term | SomeType of typ |
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fun terms_of [] = [] |
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| terms_of (SomeTerm t :: tts) = t :: terms_of tts |
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| terms_of (SomeType _ :: tts) = terms_of tts; |
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fun types_of [] = [] |
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| types_of (SomeTerm (Var ((a,idx), _)) :: tts) = |
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if String.isPrefix metis_generated_var_prefix a then |
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(*Variable generated by Metis, which might have been a type variable.*) |
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TVar (("'" ^ a, idx), HOLogic.typeS) :: types_of tts |
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else types_of tts |
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| types_of (SomeTerm _ :: tts) = types_of tts |
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| types_of (SomeType T :: tts) = T :: types_of tts; |
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fun apply_list rator nargs rands = |
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let val trands = terms_of rands |
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in if length trands = nargs then SomeTerm (list_comb(rator, trands)) |
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else raise Fail |
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("apply_list: wrong number of arguments: " ^ Syntax.string_of_term_global Pure.thy rator ^ |
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" expected " ^ string_of_int nargs ^ |
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" received " ^ commas (map (Syntax.string_of_term_global Pure.thy) trands)) |
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end; |
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fun infer_types ctxt = |
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Syntax.check_terms (ProofContext.set_mode ProofContext.mode_pattern ctxt); |
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(*We use 1 rather than 0 because variable references in clauses may otherwise conflict |
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with variable constraints in the goal...at least, type inference often fails otherwise. |
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SEE ALSO axiom_inf below.*) |
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fun mk_var (w, T) = Var ((w, 1), T) |
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(*include the default sort, if available*) |
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fun mk_tfree ctxt w = |
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let val ww = "'" ^ w |
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in TFree(ww, the_default HOLogic.typeS (Variable.def_sort ctxt (ww, ~1))) end; |
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(*Remove the "apply" operator from an HO term*) |
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fun strip_happ args (Metis_Term.Fn(".",[t,u])) = strip_happ (u::args) t |
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| strip_happ args x = (x, args); |
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fun make_tvar s = TVar (("'" ^ s, 0), HOLogic.typeS) |
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fun hol_type_from_metis_term _ (Metis_Term.Var v) = |
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(case strip_prefix_and_unascii tvar_prefix v of |
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SOME w => make_tvar w |
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| NONE => make_tvar v) |
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| hol_type_from_metis_term ctxt (Metis_Term.Fn(x, tys)) = |
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(case strip_prefix_and_unascii type_const_prefix x of |
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SOME tc => Type (invert_const tc, |
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map (hol_type_from_metis_term ctxt) tys) |
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| NONE => |
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case strip_prefix_and_unascii tfree_prefix x of |
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SOME tf => mk_tfree ctxt tf |
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| NONE => raise Fail ("hol_type_from_metis_term: " ^ x)); |
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(*Maps metis terms to isabelle terms*) |
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fun hol_term_from_metis_PT ctxt new_skolem_var_count fol_tm = |
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let val thy = ProofContext.theory_of ctxt |
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val _ = trace_msg ctxt (fn () => "hol_term_from_metis_PT: " ^ |
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Metis_Term.toString fol_tm) |
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fun tm_to_tt (Metis_Term.Var v) = |
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(case strip_prefix_and_unascii tvar_prefix v of |
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SOME w => SomeType (make_tvar w) |
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| NONE => |
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case strip_prefix_and_unascii schematic_var_prefix v of |
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SOME w => SomeTerm (mk_var (w, HOLogic.typeT)) |
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| NONE => SomeTerm (mk_var (v, HOLogic.typeT)) ) |
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(*Var from Metis with a name like _nnn; possibly a type variable*) |
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| tm_to_tt (Metis_Term.Fn ("{}", [arg])) = tm_to_tt arg (*hBOOL*) |
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| tm_to_tt (t as Metis_Term.Fn (".",_)) = |
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let val (rator,rands) = strip_happ [] t |
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in case rator of |
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Metis_Term.Fn(fname,ts) => applic_to_tt (fname, ts @ rands) |
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| _ => case tm_to_tt rator of |
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116 |
SomeTerm t => SomeTerm (list_comb(t, terms_of (map tm_to_tt rands))) |
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| _ => raise Fail "tm_to_tt: HO application" |
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118 |
end |
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| tm_to_tt (Metis_Term.Fn (fname, args)) = applic_to_tt (fname,args) |
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and applic_to_tt ("=",ts) = |
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121 |
SomeTerm (list_comb(Const (@{const_name HOL.eq}, HOLogic.typeT), terms_of (map tm_to_tt ts))) |
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122 |
| applic_to_tt (a,ts) = |
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123 |
case strip_prefix_and_unascii const_prefix a of |
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124 |
SOME b => |
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let |
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val c = invert_const b |
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val ntypes = num_type_args thy c |
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val nterms = length ts - ntypes |
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val tts = map tm_to_tt ts |
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val tys = types_of (List.take(tts,ntypes)) |
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val j = !new_skolem_var_count + 1 |
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val _ = new_skolem_var_count := j |
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133 |
val t = |
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if String.isPrefix new_skolem_const_prefix c then |
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Var ((new_skolem_var_name_from_const c, j), |
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Type_Infer.paramify_vars (tl tys ---> hd tys)) |
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137 |
else |
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138 |
Const (c, dummyT) |
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139 |
in if length tys = ntypes then |
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140 |
apply_list t nterms (List.drop(tts,ntypes)) |
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141 |
else |
41491 | 142 |
raise Fail ("Constant " ^ c ^ " expects " ^ string_of_int ntypes ^ |
143 |
" but gets " ^ string_of_int (length tys) ^ |
|
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144 |
" type arguments\n" ^ |
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cat_lines (map (Syntax.string_of_typ ctxt) tys) ^ |
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" the terms are \n" ^ |
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cat_lines (map (Syntax.string_of_term ctxt) (terms_of tts))) |
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148 |
end |
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149 |
| NONE => (*Not a constant. Is it a type constructor?*) |
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150 |
case strip_prefix_and_unascii type_const_prefix a of |
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151 |
SOME b => |
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152 |
SomeType (Type (invert_const b, types_of (map tm_to_tt ts))) |
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153 |
| NONE => (*Maybe a TFree. Should then check that ts=[].*) |
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154 |
case strip_prefix_and_unascii tfree_prefix a of |
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155 |
SOME b => SomeType (mk_tfree ctxt b) |
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156 |
| NONE => (*a fixed variable? They are Skolem functions.*) |
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157 |
case strip_prefix_and_unascii fixed_var_prefix a of |
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158 |
SOME b => |
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159 |
let val opr = Free (b, HOLogic.typeT) |
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160 |
in apply_list opr (length ts) (map tm_to_tt ts) end |
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161 |
| NONE => raise Fail ("unexpected metis function: " ^ a) |
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162 |
in |
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163 |
case tm_to_tt fol_tm of |
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164 |
SomeTerm t => t |
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165 |
| SomeType T => raise TYPE ("fol_tm_to_tt: Term expected", [T], []) |
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166 |
end |
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167 |
|
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168 |
(*Maps fully-typed metis terms to isabelle terms*) |
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169 |
fun hol_term_from_metis_FT ctxt new_skolem_var_count fol_tm = |
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170 |
let val _ = trace_msg ctxt (fn () => "hol_term_from_metis_FT: " ^ |
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171 |
Metis_Term.toString fol_tm) |
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172 |
fun cvt (Metis_Term.Fn ("ti", [Metis_Term.Var v, _])) = |
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173 |
(case strip_prefix_and_unascii schematic_var_prefix v of |
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174 |
SOME w => mk_var(w, dummyT) |
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175 |
| NONE => mk_var(v, dummyT)) |
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176 |
| cvt (Metis_Term.Fn ("ti", [Metis_Term.Fn ("=",[]), _])) = |
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177 |
Const (@{const_name HOL.eq}, HOLogic.typeT) |
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178 |
| cvt (Metis_Term.Fn ("ti", [Metis_Term.Fn (x,[]), ty])) = |
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179 |
(case strip_prefix_and_unascii const_prefix x of |
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180 |
SOME c => Const (invert_const c, dummyT) |
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181 |
| NONE => (*Not a constant. Is it a fixed variable??*) |
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182 |
case strip_prefix_and_unascii fixed_var_prefix x of |
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183 |
SOME v => Free (v, hol_type_from_metis_term ctxt ty) |
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184 |
| NONE => raise Fail ("hol_term_from_metis_FT bad constant: " ^ x)) |
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185 |
| cvt (Metis_Term.Fn ("ti", [Metis_Term.Fn (".",[tm1,tm2]), _])) = |
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186 |
cvt tm1 $ cvt tm2 |
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187 |
| cvt (Metis_Term.Fn (".",[tm1,tm2])) = (*untyped application*) |
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188 |
cvt tm1 $ cvt tm2 |
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|
189 |
| cvt (Metis_Term.Fn ("{}", [arg])) = cvt arg (*hBOOL*) |
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190 |
| cvt (Metis_Term.Fn ("=", [tm1,tm2])) = |
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191 |
list_comb(Const (@{const_name HOL.eq}, HOLogic.typeT), map cvt [tm1,tm2]) |
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192 |
| cvt (t as Metis_Term.Fn (x, [])) = |
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193 |
(case strip_prefix_and_unascii const_prefix x of |
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194 |
SOME c => Const (invert_const c, dummyT) |
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195 |
| NONE => (*Not a constant. Is it a fixed variable??*) |
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196 |
case strip_prefix_and_unascii fixed_var_prefix x of |
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197 |
SOME v => Free (v, dummyT) |
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198 |
| NONE => (trace_msg ctxt (fn () => |
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199 |
"hol_term_from_metis_FT bad const: " ^ x); |
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200 |
hol_term_from_metis_PT ctxt new_skolem_var_count t)) |
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|
201 |
| cvt t = (trace_msg ctxt (fn () => |
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202 |
"hol_term_from_metis_FT bad term: " ^ Metis_Term.toString t); |
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203 |
hol_term_from_metis_PT ctxt new_skolem_var_count t) |
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204 |
in fol_tm |> cvt end |
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205 |
|
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206 |
fun hol_term_from_metis FT = hol_term_from_metis_FT |
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207 |
| hol_term_from_metis _ = hol_term_from_metis_PT |
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208 |
|
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209 |
fun hol_terms_from_metis ctxt mode (old_skolems, new_skolem_var_count) fol_tms = |
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210 |
let val ts = map (hol_term_from_metis mode ctxt new_skolem_var_count) fol_tms |
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211 |
val _ = trace_msg ctxt (fn () => " calling type inference:") |
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|
212 |
val _ = app (fn t => trace_msg ctxt |
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213 |
(fn () => Syntax.string_of_term ctxt t)) ts |
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214 |
val ts' = ts |> map (reveal_old_skolem_terms old_skolems) |
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215 |
|> infer_types ctxt |
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|
216 |
val _ = app (fn t => trace_msg ctxt |
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217 |
(fn () => " final term: " ^ Syntax.string_of_term ctxt t ^ |
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218 |
" of type " ^ Syntax.string_of_typ ctxt (type_of t))) |
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219 |
ts' |
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220 |
in ts' end; |
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221 |
|
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|
222 |
(* ------------------------------------------------------------------------- *) |
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223 |
(* FOL step Inference Rules *) |
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224 |
(* ------------------------------------------------------------------------- *) |
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225 |
|
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226 |
(*for debugging only*) |
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|
227 |
(* |
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228 |
fun print_thpair ctxt (fth,th) = |
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(trace_msg ctxt (fn () => "============================================="); |
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trace_msg ctxt (fn () => "Metis: " ^ Metis_Thm.toString fth); |
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trace_msg ctxt (fn () => "Isabelle: " ^ Display.string_of_thm_without_context th)); |
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232 |
*) |
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233 |
|
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fun lookth thpairs (fth : Metis_Thm.thm) = |
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the (AList.lookup (uncurry Metis_Thm.equal) thpairs fth) |
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handle Option.Option => |
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raise Fail ("Failed to find Metis theorem " ^ Metis_Thm.toString fth) |
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238 |
|
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fun cterm_incr_types thy idx = cterm_of thy o (map_types (Logic.incr_tvar idx)); |
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240 |
|
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241 |
(* INFERENCE RULE: AXIOM *) |
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242 |
|
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fun axiom_inf thpairs th = Thm.incr_indexes 1 (lookth thpairs th); |
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(*This causes variables to have an index of 1 by default. SEE ALSO mk_var above.*) |
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245 |
|
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246 |
(* INFERENCE RULE: ASSUME *) |
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247 |
|
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val EXCLUDED_MIDDLE = @{lemma "P ==> ~ P ==> False" by (rule notE)} |
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249 |
|
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fun inst_excluded_middle thy i_atm = |
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let val th = EXCLUDED_MIDDLE |
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val [vx] = Term.add_vars (prop_of th) [] |
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val substs = [(cterm_of thy (Var vx), cterm_of thy i_atm)] |
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in cterm_instantiate substs th end; |
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|
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fun assume_inf ctxt mode skolem_params atm = |
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inst_excluded_middle |
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(ProofContext.theory_of ctxt) |
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(singleton (hol_terms_from_metis ctxt mode skolem_params) |
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(Metis_Term.Fn atm)) |
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|
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(* INFERENCE RULE: INSTANTIATE (SUBST). Type instantiations are ignored. Trying |
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to reconstruct them admits new possibilities of errors, e.g. concerning |
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sorts. Instead we try to arrange that new TVars are distinct and that types |
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can be inferred from terms. *) |
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|
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fun inst_inf ctxt mode (old_skolems, new_skolem_var_count) thpairs fsubst th = |
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let val thy = ProofContext.theory_of ctxt |
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val i_th = lookth thpairs th |
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val i_th_vars = Term.add_vars (prop_of i_th) [] |
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fun find_var x = the (List.find (fn ((a,_),_) => a=x) i_th_vars) |
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fun subst_translation (x,y) = |
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let val v = find_var x |
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(* We call "reveal_old_skolem_terms" and "infer_types" below. *) |
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val t = hol_term_from_metis mode ctxt new_skolem_var_count y |
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in SOME (cterm_of thy (Var v), t) end |
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handle Option.Option => |
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(trace_msg ctxt (fn () => "\"find_var\" failed for " ^ x ^ |
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" in " ^ Display.string_of_thm ctxt i_th); |
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280 |
NONE) |
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| TYPE _ => |
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(trace_msg ctxt (fn () => "\"hol_term_from_metis\" failed for " ^ x ^ |
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" in " ^ Display.string_of_thm ctxt i_th); |
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NONE) |
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fun remove_typeinst (a, t) = |
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case strip_prefix_and_unascii schematic_var_prefix a of |
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SOME b => SOME (b, t) |
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| NONE => case strip_prefix_and_unascii tvar_prefix a of |
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SOME _ => NONE (*type instantiations are forbidden!*) |
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| NONE => SOME (a,t) (*internal Metis var?*) |
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val _ = trace_msg ctxt (fn () => " isa th: " ^ Display.string_of_thm ctxt i_th) |
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val substs = map_filter remove_typeinst (Metis_Subst.toList fsubst) |
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val (vars,rawtms) = ListPair.unzip (map_filter subst_translation substs) |
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val tms = rawtms |> map (reveal_old_skolem_terms old_skolems) |
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|> infer_types ctxt |
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val ctm_of = cterm_incr_types thy (1 + Thm.maxidx_of i_th) |
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val substs' = ListPair.zip (vars, map ctm_of tms) |
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val _ = trace_msg ctxt (fn () => |
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299 |
cat_lines ("subst_translations:" :: |
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300 |
(substs' |> map (fn (x, y) => |
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Syntax.string_of_term ctxt (term_of x) ^ " |-> " ^ |
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Syntax.string_of_term ctxt (term_of y))))); |
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in cterm_instantiate substs' i_th end |
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handle THM (msg, _, _) => |
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error ("Cannot replay Metis proof in Isabelle:\n" ^ msg) |
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306 |
|
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307 |
(* INFERENCE RULE: RESOLVE *) |
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308 |
|
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309 |
(* Like RSN, but we rename apart only the type variables. Vars here typically |
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have an index of 1, and the use of RSN would increase this typically to 3. |
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Instantiations of those Vars could then fail. See comment on "mk_var". *) |
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312 |
fun resolve_inc_tyvars thy tha i thb = |
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313 |
let |
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val tha = Drule.incr_type_indexes (1 + Thm.maxidx_of thb) tha |
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fun aux tha thb = |
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case Thm.bicompose false (false, tha, nprems_of tha) i thb |
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|> Seq.list_of |> distinct Thm.eq_thm of |
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[th] => th |
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| _ => raise THM ("resolve_inc_tyvars: unique result expected", i, |
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[tha, thb]) |
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321 |
in |
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322 |
aux tha thb |
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323 |
handle TERM z => |
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324 |
(* The unifier, which is invoked from "Thm.bicompose", will sometimes |
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|
325 |
refuse to unify "?a::?'a" with "?a::?'b" or "?a::nat" and throw a |
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326 |
"TERM" exception (with "add_ffpair" as first argument). We then |
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327 |
perform unification of the types of variables by hand and try |
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328 |
again. We could do this the first time around but this error |
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329 |
occurs seldom and we don't want to break existing proofs in subtle |
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330 |
ways or slow them down needlessly. *) |
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case [] |> fold (Term.add_vars o prop_of) [tha, thb] |
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332 |
|> AList.group (op =) |
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|> maps (fn ((s, _), T :: Ts) => |
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map (fn T' => (Free (s, T), Free (s, T'))) Ts) |
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335 |
|> rpair (Envir.empty ~1) |
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|-> fold (Pattern.unify thy) |
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|> Envir.type_env |> Vartab.dest |
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|> map (fn (x, (S, T)) => |
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pairself (ctyp_of thy) (TVar (x, S), T)) of |
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[] => raise TERM z |
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| ps => aux (instantiate (ps, []) tha) (instantiate (ps, []) thb) |
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342 |
end |
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complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
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diff
changeset
|
343 |
|
40221
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
344 |
fun s_not (@{const Not} $ t) = t |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
345 |
| s_not t = HOLogic.mk_not t |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
346 |
fun simp_not_not (@{const Not} $ t) = s_not (simp_not_not t) |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
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diff
changeset
|
347 |
| simp_not_not t = t |
39497
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complete refactoring of Metis along the lines of Sledgehammer
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parents:
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changeset
|
348 |
|
fa16349939b7
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parents:
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changeset
|
349 |
(* Match untyped terms. *) |
fa16349939b7
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parents:
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changeset
|
350 |
fun untyped_aconv (Const (a, _)) (Const(b, _)) = (a = b) |
fa16349939b7
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parents:
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diff
changeset
|
351 |
| untyped_aconv (Free (a, _)) (Free (b, _)) = (a = b) |
fa16349939b7
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parents:
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diff
changeset
|
352 |
| untyped_aconv (Var ((a, _), _)) (Var ((b, _), _)) = |
fa16349939b7
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parents:
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diff
changeset
|
353 |
(a = b) (* The index is ignored, for some reason. *) |
fa16349939b7
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blanchet
parents:
39495
diff
changeset
|
354 |
| untyped_aconv (Bound i) (Bound j) = (i = j) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
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diff
changeset
|
355 |
| untyped_aconv (Abs (_, _, t)) (Abs (_, _, u)) = untyped_aconv t u |
fa16349939b7
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blanchet
parents:
39495
diff
changeset
|
356 |
| untyped_aconv (t1 $ t2) (u1 $ u2) = |
fa16349939b7
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parents:
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diff
changeset
|
357 |
untyped_aconv t1 u1 andalso untyped_aconv t2 u2 |
fa16349939b7
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blanchet
parents:
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diff
changeset
|
358 |
| untyped_aconv _ _ = false |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
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changeset
|
359 |
|
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
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changeset
|
360 |
(* Finding the relative location of an untyped term within a list of terms *) |
40221
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
361 |
fun index_of_literal lit haystack = |
39497
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parents:
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changeset
|
362 |
let |
40221
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
363 |
val normalize = simp_not_not o Envir.eta_contract |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
364 |
val match_lit = |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
365 |
HOLogic.dest_Trueprop #> normalize #> untyped_aconv (lit |> normalize) |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
366 |
in case find_index match_lit haystack of ~1 => raise Empty | n => n + 1 end |
39497
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parents:
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diff
changeset
|
367 |
|
39893 | 368 |
(* Permute a rule's premises to move the i-th premise to the last position. *) |
369 |
fun make_last i th = |
|
370 |
let val n = nprems_of th |
|
371 |
in if 1 <= i andalso i <= n |
|
372 |
then Thm.permute_prems (i-1) 1 th |
|
373 |
else raise THM("select_literal", i, [th]) |
|
374 |
end; |
|
375 |
||
41143
0b05cc14c2cb
remove at most one double negation -- any other double negations are part of some higher-order reasoning and should be left alone, cf. "HO_Reas.thy"
blanchet
parents:
41140
diff
changeset
|
376 |
val neg_neg_imp = @{lemma "~ ~ Q ==> Q" by blast} |
0b05cc14c2cb
remove at most one double negation -- any other double negations are part of some higher-order reasoning and should be left alone, cf. "HO_Reas.thy"
blanchet
parents:
41140
diff
changeset
|
377 |
|
39893 | 378 |
(* Maps a rule that ends "... ==> P ==> False" to "... ==> ~P" while suppressing |
379 |
double-negations. *) |
|
41143
0b05cc14c2cb
remove at most one double negation -- any other double negations are part of some higher-order reasoning and should be left alone, cf. "HO_Reas.thy"
blanchet
parents:
41140
diff
changeset
|
380 |
fun negate_head thy = |
0b05cc14c2cb
remove at most one double negation -- any other double negations are part of some higher-order reasoning and should be left alone, cf. "HO_Reas.thy"
blanchet
parents:
41140
diff
changeset
|
381 |
rewrite_rule @{thms atomize_not} |
0b05cc14c2cb
remove at most one double negation -- any other double negations are part of some higher-order reasoning and should be left alone, cf. "HO_Reas.thy"
blanchet
parents:
41140
diff
changeset
|
382 |
#> perhaps (try (fn th => resolve_inc_tyvars thy th 1 neg_neg_imp)) |
39893 | 383 |
|
384 |
(* Maps the clause [P1,...Pn]==>False to [P1,...,P(i-1),P(i+1),...Pn] ==> ~P *) |
|
41143
0b05cc14c2cb
remove at most one double negation -- any other double negations are part of some higher-order reasoning and should be left alone, cf. "HO_Reas.thy"
blanchet
parents:
41140
diff
changeset
|
385 |
fun select_literal thy = negate_head thy oo make_last |
39893 | 386 |
|
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
387 |
fun resolve_inf ctxt mode skolem_params thpairs atm th1 th2 = |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
388 |
let |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
389 |
val thy = ProofContext.theory_of ctxt |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
390 |
val i_th1 = lookth thpairs th1 and i_th2 = lookth thpairs th2 |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
391 |
val _ = trace_msg ctxt (fn () => " isa th1 (pos): " ^ Display.string_of_thm ctxt i_th1) |
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
392 |
val _ = trace_msg ctxt (fn () => " isa th2 (neg): " ^ Display.string_of_thm ctxt i_th2) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
393 |
in |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
394 |
(* Trivial cases where one operand is type info *) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
395 |
if Thm.eq_thm (TrueI, i_th1) then |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
396 |
i_th2 |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
397 |
else if Thm.eq_thm (TrueI, i_th2) then |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
398 |
i_th1 |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
399 |
else |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
400 |
let |
40221
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
401 |
val i_atm = |
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
402 |
singleton (hol_terms_from_metis ctxt mode skolem_params) |
40221
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
403 |
(Metis_Term.Fn atm) |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
404 |
val _ = trace_msg ctxt (fn () => " atom: " ^ Syntax.string_of_term ctxt i_atm) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
405 |
val prems_th1 = prems_of i_th1 |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
406 |
val prems_th2 = prems_of i_th2 |
40221
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
407 |
val index_th1 = |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
408 |
index_of_literal (s_not i_atm) prems_th1 |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
409 |
handle Empty => raise Fail "Failed to find literal in th1" |
41491 | 410 |
val _ = trace_msg ctxt (fn () => " index_th1: " ^ string_of_int index_th1) |
40221
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
411 |
val index_th2 = |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
412 |
index_of_literal i_atm prems_th2 |
d10b68c6e6d4
do not let Metis be confused by higher-order reasoning leading to literals of the form "~ ~ p", which are really the same as "p"
blanchet
parents:
40158
diff
changeset
|
413 |
handle Empty => raise Fail "Failed to find literal in th2" |
41491 | 414 |
val _ = trace_msg ctxt (fn () => " index_th2: " ^ string_of_int index_th2) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
415 |
in |
41143
0b05cc14c2cb
remove at most one double negation -- any other double negations are part of some higher-order reasoning and should be left alone, cf. "HO_Reas.thy"
blanchet
parents:
41140
diff
changeset
|
416 |
resolve_inc_tyvars thy (select_literal thy index_th1 i_th1) index_th2 |
0b05cc14c2cb
remove at most one double negation -- any other double negations are part of some higher-order reasoning and should be left alone, cf. "HO_Reas.thy"
blanchet
parents:
41140
diff
changeset
|
417 |
i_th2 |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
418 |
end |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
419 |
end; |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
420 |
|
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
421 |
(* INFERENCE RULE: REFL *) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
422 |
|
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
423 |
val REFL_THM = Thm.incr_indexes 2 @{lemma "t ~= t ==> False" by simp} |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
424 |
|
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
425 |
val refl_x = cterm_of @{theory} (Var (hd (Term.add_vars (prop_of REFL_THM) []))); |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
426 |
val refl_idx = 1 + Thm.maxidx_of REFL_THM; |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
427 |
|
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
428 |
fun refl_inf ctxt mode skolem_params t = |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
429 |
let val thy = ProofContext.theory_of ctxt |
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
430 |
val i_t = singleton (hol_terms_from_metis ctxt mode skolem_params) t |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
431 |
val _ = trace_msg ctxt (fn () => " term: " ^ Syntax.string_of_term ctxt i_t) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
432 |
val c_t = cterm_incr_types thy refl_idx i_t |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
433 |
in cterm_instantiate [(refl_x, c_t)] REFL_THM end; |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
434 |
|
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
435 |
(* INFERENCE RULE: EQUALITY *) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
436 |
|
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
437 |
val subst_em = @{lemma "s = t ==> P s ==> ~ P t ==> False" by simp} |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
438 |
val ssubst_em = @{lemma "s = t ==> P t ==> ~ P s ==> False" by simp} |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
439 |
|
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
440 |
val metis_eq = Metis_Term.Fn ("=", []); |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
441 |
|
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
442 |
fun get_ty_arg_size _ (Const (@{const_name HOL.eq}, _)) = 0 (*equality has no type arguments*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
443 |
| get_ty_arg_size thy (Const (c, _)) = (num_type_args thy c handle TYPE _ => 0) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
444 |
| get_ty_arg_size _ _ = 0; |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
445 |
|
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
446 |
fun equality_inf ctxt mode skolem_params (pos, atm) fp fr = |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
447 |
let val thy = ProofContext.theory_of ctxt |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
448 |
val m_tm = Metis_Term.Fn atm |
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
449 |
val [i_atm,i_tm] = hol_terms_from_metis ctxt mode skolem_params [m_tm, fr] |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
450 |
val _ = trace_msg ctxt (fn () => "sign of the literal: " ^ Bool.toString pos) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
451 |
fun replace_item_list lx 0 (_::ls) = lx::ls |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
452 |
| replace_item_list lx i (l::ls) = l :: replace_item_list lx (i-1) ls |
39498
e8aef7ea9cbb
make "subst_translation" more robust w.r.t. type instantiations like {_1234 |-> 'a}
blanchet
parents:
39497
diff
changeset
|
453 |
fun path_finder_FO tm [] = (tm, Bound 0) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
454 |
| path_finder_FO tm (p::ps) = |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
455 |
let val (tm1,args) = strip_comb tm |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
456 |
val adjustment = get_ty_arg_size thy tm1 |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
457 |
val p' = if adjustment > p then p else p-adjustment |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
458 |
val tm_p = List.nth(args,p') |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
459 |
handle Subscript => |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
460 |
error ("Cannot replay Metis proof in Isabelle:\n" ^ |
41491 | 461 |
"equality_inf: " ^ string_of_int p ^ " adj " ^ |
462 |
string_of_int adjustment ^ " term " ^ |
|
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
463 |
Syntax.string_of_term ctxt tm) |
41491 | 464 |
val _ = trace_msg ctxt (fn () => "path_finder: " ^ string_of_int p ^ |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
465 |
" " ^ Syntax.string_of_term ctxt tm_p) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
466 |
val (r,t) = path_finder_FO tm_p ps |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
467 |
in |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
468 |
(r, list_comb (tm1, replace_item_list t p' args)) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
469 |
end |
39498
e8aef7ea9cbb
make "subst_translation" more robust w.r.t. type instantiations like {_1234 |-> 'a}
blanchet
parents:
39497
diff
changeset
|
470 |
fun path_finder_HO tm [] = (tm, Bound 0) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
471 |
| path_finder_HO (t$u) (0::ps) = (fn(x,y) => (x, y$u)) (path_finder_HO t ps) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
472 |
| path_finder_HO (t$u) (_::ps) = (fn(x,y) => (x, t$y)) (path_finder_HO u ps) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
473 |
| path_finder_HO tm ps = |
39498
e8aef7ea9cbb
make "subst_translation" more robust w.r.t. type instantiations like {_1234 |-> 'a}
blanchet
parents:
39497
diff
changeset
|
474 |
raise Fail ("Cannot replay Metis proof in Isabelle:\n" ^ |
e8aef7ea9cbb
make "subst_translation" more robust w.r.t. type instantiations like {_1234 |-> 'a}
blanchet
parents:
39497
diff
changeset
|
475 |
"equality_inf, path_finder_HO: path = " ^ |
41491 | 476 |
space_implode " " (map string_of_int ps) ^ |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
477 |
" isa-term: " ^ Syntax.string_of_term ctxt tm) |
39498
e8aef7ea9cbb
make "subst_translation" more robust w.r.t. type instantiations like {_1234 |-> 'a}
blanchet
parents:
39497
diff
changeset
|
478 |
fun path_finder_FT tm [] _ = (tm, Bound 0) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
479 |
| path_finder_FT tm (0::ps) (Metis_Term.Fn ("ti", [t1, _])) = |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
480 |
path_finder_FT tm ps t1 |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
481 |
| path_finder_FT (t$u) (0::ps) (Metis_Term.Fn (".", [t1, _])) = |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
482 |
(fn(x,y) => (x, y$u)) (path_finder_FT t ps t1) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
483 |
| path_finder_FT (t$u) (1::ps) (Metis_Term.Fn (".", [_, t2])) = |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
484 |
(fn(x,y) => (x, t$y)) (path_finder_FT u ps t2) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
485 |
| path_finder_FT tm ps t = |
39498
e8aef7ea9cbb
make "subst_translation" more robust w.r.t. type instantiations like {_1234 |-> 'a}
blanchet
parents:
39497
diff
changeset
|
486 |
raise Fail ("Cannot replay Metis proof in Isabelle:\n" ^ |
e8aef7ea9cbb
make "subst_translation" more robust w.r.t. type instantiations like {_1234 |-> 'a}
blanchet
parents:
39497
diff
changeset
|
487 |
"equality_inf, path_finder_FT: path = " ^ |
41491 | 488 |
space_implode " " (map string_of_int ps) ^ |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
489 |
" isa-term: " ^ Syntax.string_of_term ctxt tm ^ |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
490 |
" fol-term: " ^ Metis_Term.toString t) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
491 |
fun path_finder FO tm ps _ = path_finder_FO tm ps |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
492 |
| path_finder HO (tm as Const(@{const_name HOL.eq},_) $ _ $ _) (p::ps) _ = |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
493 |
(*equality: not curried, as other predicates are*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
494 |
if p=0 then path_finder_HO tm (0::1::ps) (*select first operand*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
495 |
else path_finder_HO tm (p::ps) (*1 selects second operand*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
496 |
| path_finder HO tm (_ :: ps) (Metis_Term.Fn ("{}", [_])) = |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
497 |
path_finder_HO tm ps (*if not equality, ignore head to skip hBOOL*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
498 |
| path_finder FT (tm as Const(@{const_name HOL.eq}, _) $ _ $ _) (p::ps) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
499 |
(Metis_Term.Fn ("=", [t1,t2])) = |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
500 |
(*equality: not curried, as other predicates are*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
501 |
if p=0 then path_finder_FT tm (0::1::ps) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
502 |
(Metis_Term.Fn (".", [Metis_Term.Fn (".", [metis_eq,t1]), t2])) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
503 |
(*select first operand*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
504 |
else path_finder_FT tm (p::ps) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
505 |
(Metis_Term.Fn (".", [metis_eq,t2])) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
506 |
(*1 selects second operand*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
507 |
| path_finder FT tm (_ :: ps) (Metis_Term.Fn ("{}", [t1])) = path_finder_FT tm ps t1 |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
508 |
(*if not equality, ignore head to skip the hBOOL predicate*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
509 |
| path_finder FT tm ps t = path_finder_FT tm ps t (*really an error case!*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
510 |
fun path_finder_lit ((nt as Const (@{const_name Not}, _)) $ tm_a) idx = |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
511 |
let val (tm, tm_rslt) = path_finder mode tm_a idx m_tm |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
512 |
in (tm, nt $ tm_rslt) end |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
513 |
| path_finder_lit tm_a idx = path_finder mode tm_a idx m_tm |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
514 |
val (tm_subst, body) = path_finder_lit i_atm fp |
39498
e8aef7ea9cbb
make "subst_translation" more robust w.r.t. type instantiations like {_1234 |-> 'a}
blanchet
parents:
39497
diff
changeset
|
515 |
val tm_abs = Abs ("x", type_of tm_subst, body) |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
516 |
val _ = trace_msg ctxt (fn () => "abstraction: " ^ Syntax.string_of_term ctxt tm_abs) |
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
517 |
val _ = trace_msg ctxt (fn () => "i_tm: " ^ Syntax.string_of_term ctxt i_tm) |
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
518 |
val _ = trace_msg ctxt (fn () => "located term: " ^ Syntax.string_of_term ctxt tm_subst) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
519 |
val imax = maxidx_of_term (i_tm $ tm_abs $ tm_subst) (*ill typed but gives right max*) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
520 |
val subst' = Thm.incr_indexes (imax+1) (if pos then subst_em else ssubst_em) |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
521 |
val _ = trace_msg ctxt (fn () => "subst' " ^ Display.string_of_thm ctxt subst') |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
522 |
val eq_terms = map (pairself (cterm_of thy)) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
523 |
(ListPair.zip (OldTerm.term_vars (prop_of subst'), [tm_abs, tm_subst, i_tm])) |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
524 |
in cterm_instantiate eq_terms subst' end; |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
525 |
|
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
526 |
val factor = Seq.hd o distinct_subgoals_tac; |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
527 |
|
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
528 |
fun step ctxt mode skolem_params thpairs p = |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
529 |
case p of |
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
530 |
(fol_th, Metis_Proof.Axiom _) => factor (axiom_inf thpairs fol_th) |
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
531 |
| (_, Metis_Proof.Assume f_atm) => assume_inf ctxt mode skolem_params f_atm |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
532 |
| (_, Metis_Proof.Metis_Subst (f_subst, f_th1)) => |
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
533 |
factor (inst_inf ctxt mode skolem_params thpairs f_subst f_th1) |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
534 |
| (_, Metis_Proof.Resolve(f_atm, f_th1, f_th2)) => |
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
535 |
factor (resolve_inf ctxt mode skolem_params thpairs f_atm f_th1 f_th2) |
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
536 |
| (_, Metis_Proof.Refl f_tm) => refl_inf ctxt mode skolem_params f_tm |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
537 |
| (_, Metis_Proof.Equality (f_lit, f_p, f_r)) => |
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
538 |
equality_inf ctxt mode skolem_params f_lit f_p f_r |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
539 |
|
39893 | 540 |
fun flexflex_first_order th = |
541 |
case Thm.tpairs_of th of |
|
542 |
[] => th |
|
543 |
| pairs => |
|
544 |
let val thy = theory_of_thm th |
|
545 |
val (_, tenv) = |
|
546 |
fold (Pattern.first_order_match thy) pairs (Vartab.empty, Vartab.empty) |
|
547 |
val t_pairs = map Meson.term_pair_of (Vartab.dest tenv) |
|
548 |
val th' = Thm.instantiate ([], map (pairself (cterm_of thy)) t_pairs) th |
|
549 |
in th' end |
|
550 |
handle THM _ => th; |
|
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
551 |
|
39895
a91a84b1dfdd
reintroduced code that keeps track of whether the Isabelle and Metis proofs are in sync -- generalized to work with the new skolemizer
blanchet
parents:
39893
diff
changeset
|
552 |
fun is_metis_literal_genuine (_, (s, _)) = not (String.isPrefix class_prefix s) |
a91a84b1dfdd
reintroduced code that keeps track of whether the Isabelle and Metis proofs are in sync -- generalized to work with the new skolemizer
blanchet
parents:
39893
diff
changeset
|
553 |
fun is_isabelle_literal_genuine t = |
39953
aa54f347e5e2
hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
blanchet
parents:
39946
diff
changeset
|
554 |
case t of _ $ (Const (@{const_name Meson.skolem}, _) $ _) => false | _ => true |
39895
a91a84b1dfdd
reintroduced code that keeps track of whether the Isabelle and Metis proofs are in sync -- generalized to work with the new skolemizer
blanchet
parents:
39893
diff
changeset
|
555 |
|
a91a84b1dfdd
reintroduced code that keeps track of whether the Isabelle and Metis proofs are in sync -- generalized to work with the new skolemizer
blanchet
parents:
39893
diff
changeset
|
556 |
fun count p xs = fold (fn x => if p x then Integer.add 1 else I) xs 0 |
a91a84b1dfdd
reintroduced code that keeps track of whether the Isabelle and Metis proofs are in sync -- generalized to work with the new skolemizer
blanchet
parents:
39893
diff
changeset
|
557 |
|
40259
c0e34371c2e2
prevent type errors because of inconsistent skolem Var types by giving fresh indices to Skolems
blanchet
parents:
40258
diff
changeset
|
558 |
fun replay_one_inference ctxt mode skolem_params (fol_th, inf) thpairs = |
40868
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
559 |
if not (null thpairs) andalso prop_of (snd (hd thpairs)) aconv @{prop False} then |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
560 |
(* Isabelle sometimes identifies literals (premises) that are distinct in |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
561 |
Metis (e.g., because of type variables). We give the Isabelle proof the |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
562 |
benefice of the doubt. *) |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
563 |
thpairs |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
564 |
else |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
565 |
let |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
566 |
val _ = trace_msg ctxt |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
567 |
(fn () => "=============================================") |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
568 |
val _ = trace_msg ctxt |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
569 |
(fn () => "METIS THM: " ^ Metis_Thm.toString fol_th) |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
570 |
val _ = trace_msg ctxt |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
571 |
(fn () => "INFERENCE: " ^ Metis_Proof.inferenceToString inf) |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
572 |
val th = step ctxt mode skolem_params thpairs (fol_th, inf) |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
573 |
|> flexflex_first_order |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
574 |
val _ = trace_msg ctxt |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
575 |
(fn () => "ISABELLE THM: " ^ Display.string_of_thm ctxt th) |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
576 |
val _ = trace_msg ctxt |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
577 |
(fn () => "=============================================") |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
578 |
val num_metis_lits = |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
579 |
count is_metis_literal_genuine |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
580 |
(Metis_LiteralSet.toList (Metis_Thm.clause fol_th)) |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
581 |
val num_isabelle_lits = count is_isabelle_literal_genuine (prems_of th) |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
582 |
val _ = if num_metis_lits >= num_isabelle_lits then () |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
583 |
else error "Cannot replay Metis proof in Isabelle: Out of sync." |
177cd660abb7
give the Isabelle proof the benefice of the doubt when the Isabelle theorem has fewer literals than the Metis one -- this makes a difference on lemma "Let (x::'a, y::'a) (inv_image (r::'b * 'b => bool) (f::'a => 'b)) = ((f x, f y) : r)" apply (metis in_inv_image mem_def)
blanchet
parents:
40724
diff
changeset
|
584 |
in (fol_th, th) :: thpairs end |
39497
fa16349939b7
complete refactoring of Metis along the lines of Sledgehammer
blanchet
parents:
39495
diff
changeset
|
585 |
|
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
586 |
fun term_instantiate thy = cterm_instantiate o map (pairself (cterm_of thy)) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
587 |
|
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
588 |
val copy_prem = @{lemma "P ==> (P ==> P ==> Q) ==> Q" by fast} |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
589 |
|
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
590 |
fun copy_prems_tac [] ns i = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
591 |
if forall (curry (op =) 1) ns then all_tac else copy_prems_tac (rev ns) [] i |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
592 |
| copy_prems_tac (1 :: ms) ns i = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
593 |
rotate_tac 1 i THEN copy_prems_tac ms (1 :: ns) i |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
594 |
| copy_prems_tac (m :: ms) ns i = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
595 |
etac copy_prem i THEN copy_prems_tac ms (m div 2 :: (m + 1) div 2 :: ns) i |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
596 |
|
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
597 |
fun instantiate_forall_tac thy t i st = |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
598 |
let |
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
599 |
val params = Logic.strip_params (Logic.get_goal (prop_of st) i) |> rev |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
600 |
fun repair (t as (Var ((s, _), _))) = |
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
601 |
(case find_index (fn (s', _) => s' = s) params of |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
602 |
~1 => t |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
603 |
| j => Bound j) |
40261
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
604 |
| repair (t $ u) = |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
605 |
(case (repair t, repair u) of |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
606 |
(t as Bound j, u as Bound k) => |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
607 |
(* This is a rather subtle trick to repair the discrepancy between |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
608 |
the fully skolemized term that MESON gives us (where existentials |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
609 |
were pulled out) and the reality. *) |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
610 |
if k > j then t else t $ u |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
611 |
| (t, u) => t $ u) |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
612 |
| repair t = t |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
613 |
val t' = t |> repair |> fold (curry absdummy) (map snd params) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
614 |
fun do_instantiate th = |
42098
f978caf60bbe
more robust handling of variables in new Skolemizer
blanchet
parents:
41491
diff
changeset
|
615 |
let |
f978caf60bbe
more robust handling of variables in new Skolemizer
blanchet
parents:
41491
diff
changeset
|
616 |
val var = Term.add_vars (prop_of th) [] |
f978caf60bbe
more robust handling of variables in new Skolemizer
blanchet
parents:
41491
diff
changeset
|
617 |
|> the_single |
f978caf60bbe
more robust handling of variables in new Skolemizer
blanchet
parents:
41491
diff
changeset
|
618 |
in th |> term_instantiate thy [(Var var, t')] end |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
619 |
in |
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
620 |
(etac @{thm allE} i |
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
621 |
THEN rotate_tac ~1 i |
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
622 |
THEN PRIMITIVE do_instantiate) st |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
623 |
end |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
624 |
|
41135 | 625 |
fun fix_exists_tac t = |
40261
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
626 |
etac @{thm exE} |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
627 |
THEN' rename_tac [t |> dest_Var |> fst |> fst] |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
628 |
|
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
629 |
fun release_quantifier_tac thy (skolem, t) = |
41135 | 630 |
(if skolem then fix_exists_tac else instantiate_forall_tac thy) t |
40261
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
631 |
|
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
632 |
fun release_clusters_tac _ _ _ [] = K all_tac |
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
633 |
| release_clusters_tac thy ax_counts substs |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
634 |
((ax_no, cluster_no) :: clusters) = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
635 |
let |
40261
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
636 |
val cluster_of_var = |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
637 |
Meson_Clausify.cluster_of_zapped_var_name o fst o fst o dest_Var |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
638 |
fun in_right_cluster ((_, (cluster_no', _)), _) = cluster_no' = cluster_no |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
639 |
val cluster_substs = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
640 |
substs |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
641 |
|> map_filter (fn (ax_no', (_, (_, tsubst))) => |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
642 |
if ax_no' = ax_no then |
40261
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
643 |
tsubst |> map (apfst cluster_of_var) |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
644 |
|> filter (in_right_cluster o fst) |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
645 |
|> map (apfst snd) |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
646 |
|> SOME |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
647 |
else |
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
648 |
NONE) |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
649 |
fun do_cluster_subst cluster_subst = |
40261
7a02144874f3
more work on new Skolemizer without Hilbert_Choice
blanchet
parents:
40259
diff
changeset
|
650 |
map (release_quantifier_tac thy) cluster_subst @ [rotate_tac 1] |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
651 |
val first_prem = find_index (fn (ax_no', _) => ax_no' = ax_no) substs |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
652 |
in |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
653 |
rotate_tac first_prem |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
654 |
THEN' (EVERY' (maps do_cluster_subst cluster_substs)) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
655 |
THEN' rotate_tac (~ first_prem - length cluster_substs) |
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
656 |
THEN' release_clusters_tac thy ax_counts substs clusters |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
657 |
end |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
658 |
|
40264
b91e2e16d994
fixed order of quantifier instantiation in new Skolemizer
blanchet
parents:
40261
diff
changeset
|
659 |
fun cluster_key ((ax_no, (cluster_no, index_no)), skolem) = |
b91e2e16d994
fixed order of quantifier instantiation in new Skolemizer
blanchet
parents:
40261
diff
changeset
|
660 |
(ax_no, (cluster_no, (skolem, index_no))) |
b91e2e16d994
fixed order of quantifier instantiation in new Skolemizer
blanchet
parents:
40261
diff
changeset
|
661 |
fun cluster_ord p = |
b91e2e16d994
fixed order of quantifier instantiation in new Skolemizer
blanchet
parents:
40261
diff
changeset
|
662 |
prod_ord int_ord (prod_ord int_ord (prod_ord bool_ord int_ord)) |
b91e2e16d994
fixed order of quantifier instantiation in new Skolemizer
blanchet
parents:
40261
diff
changeset
|
663 |
(pairself cluster_key p) |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
664 |
|
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
665 |
val tysubst_ord = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
666 |
list_ord (prod_ord Term_Ord.fast_indexname_ord |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
667 |
(prod_ord Term_Ord.sort_ord Term_Ord.typ_ord)) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
668 |
|
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
669 |
structure Int_Tysubst_Table = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
670 |
Table(type key = int * (indexname * (sort * typ)) list |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
671 |
val ord = prod_ord int_ord tysubst_ord) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
672 |
|
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
673 |
structure Int_Pair_Graph = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
674 |
Graph(type key = int * int val ord = prod_ord int_ord int_ord) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
675 |
|
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
676 |
fun shuffle_key (((axiom_no, (_, index_no)), _), _) = (index_no, axiom_no) |
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
677 |
fun shuffle_ord p = prod_ord int_ord int_ord (pairself shuffle_key p) |
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
678 |
|
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
679 |
(* Attempts to derive the theorem "False" from a theorem of the form |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
680 |
"P1 ==> ... ==> Pn ==> False", where the "Pi"s are to be discharged using the |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
681 |
specified axioms. The axioms have leading "All" and "Ex" quantifiers, which |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
682 |
must be eliminated first. *) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
683 |
fun discharge_skolem_premises ctxt axioms prems_imp_false = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
684 |
if prop_of prems_imp_false aconv @{prop False} then |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
685 |
prems_imp_false |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
686 |
else |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
687 |
let |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
688 |
val thy = ProofContext.theory_of ctxt |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
689 |
fun match_term p = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
690 |
let |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
691 |
val (tyenv, tenv) = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
692 |
Pattern.first_order_match thy p (Vartab.empty, Vartab.empty) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
693 |
val tsubst = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
694 |
tenv |> Vartab.dest |
42099
447fa058ab22
avoid evil "export_without_context", which breaks if there are local "fixes"
blanchet
parents:
42098
diff
changeset
|
695 |
|> filter (Meson_Clausify.is_zapped_var_name o fst o fst) |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
696 |
|> sort (cluster_ord |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
697 |
o pairself (Meson_Clausify.cluster_of_zapped_var_name |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
698 |
o fst o fst)) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
699 |
|> map (Meson.term_pair_of |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
700 |
#> pairself (Envir.subst_term_types tyenv)) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
701 |
val tysubst = tyenv |> Vartab.dest |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
702 |
in (tysubst, tsubst) end |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
703 |
fun subst_info_for_prem subgoal_no prem = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
704 |
case prem of |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
705 |
_ $ (Const (@{const_name Meson.skolem}, _) $ (_ $ t $ num)) => |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
706 |
let val ax_no = HOLogic.dest_nat num in |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
707 |
(ax_no, (subgoal_no, |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
708 |
match_term (nth axioms ax_no |> the |> snd, t))) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
709 |
end |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
710 |
| _ => raise TERM ("discharge_skolem_premises: Malformed premise", |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
711 |
[prem]) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
712 |
fun cluster_of_var_name skolem s = |
42098
f978caf60bbe
more robust handling of variables in new Skolemizer
blanchet
parents:
41491
diff
changeset
|
713 |
case try Meson_Clausify.cluster_of_zapped_var_name s of |
f978caf60bbe
more robust handling of variables in new Skolemizer
blanchet
parents:
41491
diff
changeset
|
714 |
NONE => NONE |
f978caf60bbe
more robust handling of variables in new Skolemizer
blanchet
parents:
41491
diff
changeset
|
715 |
| SOME ((ax_no, (cluster_no, _)), skolem') => |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
716 |
if skolem' = skolem andalso cluster_no > 0 then |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
717 |
SOME (ax_no, cluster_no) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
718 |
else |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
719 |
NONE |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
720 |
fun clusters_in_term skolem t = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
721 |
Term.add_var_names t [] |> map_filter (cluster_of_var_name skolem o fst) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
722 |
fun deps_for_term_subst (var, t) = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
723 |
case clusters_in_term false var of |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
724 |
[] => NONE |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
725 |
| [(ax_no, cluster_no)] => |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
726 |
SOME ((ax_no, cluster_no), |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
727 |
clusters_in_term true t |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
728 |
|> cluster_no > 1 ? cons (ax_no, cluster_no - 1)) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
729 |
| _ => raise TERM ("discharge_skolem_premises: Expected Var", [var]) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
730 |
val prems = Logic.strip_imp_prems (prop_of prems_imp_false) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
731 |
val substs = prems |> map2 subst_info_for_prem (1 upto length prems) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
732 |
|> sort (int_ord o pairself fst) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
733 |
val depss = maps (map_filter deps_for_term_subst o snd o snd o snd) substs |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
734 |
val clusters = maps (op ::) depss |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
735 |
val ordered_clusters = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
736 |
Int_Pair_Graph.empty |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
737 |
|> fold Int_Pair_Graph.default_node (map (rpair ()) clusters) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
738 |
|> fold Int_Pair_Graph.add_deps_acyclic depss |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
739 |
|> Int_Pair_Graph.topological_order |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
740 |
handle Int_Pair_Graph.CYCLES _ => |
40158 | 741 |
error "Cannot replay Metis proof in Isabelle without \ |
742 |
\\"Hilbert_Choice\"." |
|
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
743 |
val outer_param_names = |
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
744 |
[] |> fold (Term.add_var_names o snd) (map_filter I axioms) |
42099
447fa058ab22
avoid evil "export_without_context", which breaks if there are local "fixes"
blanchet
parents:
42098
diff
changeset
|
745 |
|> filter (Meson_Clausify.is_zapped_var_name o fst) |
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
746 |
|> map (`(Meson_Clausify.cluster_of_zapped_var_name o fst)) |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
747 |
|> filter (fn (((_, (cluster_no, _)), skolem), _) => |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
748 |
cluster_no = 0 andalso skolem) |
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
749 |
|> sort shuffle_ord |> map (fst o snd) |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
750 |
val ax_counts = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
751 |
Int_Tysubst_Table.empty |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
752 |
|> fold (fn (ax_no, (_, (tysubst, _))) => |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
753 |
Int_Tysubst_Table.map_default ((ax_no, tysubst), 0) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
754 |
(Integer.add 1)) substs |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
755 |
|> Int_Tysubst_Table.dest |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
756 |
(* for debugging: |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
757 |
fun string_for_subst_info (ax_no, (subgoal_no, (tysubst, tsubst))) = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
758 |
"ax: " ^ string_of_int ax_no ^ "; asm: " ^ string_of_int subgoal_no ^ |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
759 |
"; tysubst: " ^ PolyML.makestring tysubst ^ "; tsubst: {" ^ |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
760 |
commas (map ((fn (s, t) => s ^ " |-> " ^ t) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
761 |
o pairself (Syntax.string_of_term ctxt)) tsubst) ^ "}" |
40264
b91e2e16d994
fixed order of quantifier instantiation in new Skolemizer
blanchet
parents:
40261
diff
changeset
|
762 |
val _ = tracing ("ORDERED CLUSTERS: " ^ PolyML.makestring ordered_clusters) |
b91e2e16d994
fixed order of quantifier instantiation in new Skolemizer
blanchet
parents:
40261
diff
changeset
|
763 |
val _ = tracing ("AXIOM COUNTS: " ^ PolyML.makestring ax_counts) |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
764 |
val _ = tracing ("SUBSTS (" ^ string_of_int (length substs) ^ "):\n" ^ |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
765 |
cat_lines (map string_for_subst_info substs)) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
766 |
*) |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
767 |
fun rotation_for_subgoal i = |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
768 |
find_index (fn (_, (subgoal_no, _)) => subgoal_no = i) substs |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
769 |
in |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
770 |
Goal.prove ctxt [] [] @{prop False} |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
771 |
(K (cut_rules_tac |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
772 |
(map (fst o the o nth axioms o fst o fst) ax_counts) 1 |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
773 |
THEN TRY (REPEAT_ALL_NEW (etac @{thm exE}) 1) |
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
774 |
THEN rename_tac outer_param_names 1 |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
775 |
THEN copy_prems_tac (map snd ax_counts) [] 1 |
40258
2c0d8fe36c21
make handling of parameters more robust, by querying the goal
blanchet
parents:
40221
diff
changeset
|
776 |
THEN release_clusters_tac thy ax_counts substs ordered_clusters 1 |
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
777 |
THEN match_tac [prems_imp_false] 1 |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
778 |
THEN ALLGOALS (fn i => |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
779 |
rtac @{thm Meson.skolem_COMBK_I} i |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
780 |
THEN rotate_tac (rotation_for_subgoal i) i |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
781 |
THEN assume_tac i))) |
40158 | 782 |
handle ERROR _ => |
783 |
error ("Cannot replay Metis proof in Isabelle:\n\ |
|
784 |
\Error when discharging Skolem assumptions.") |
|
39964
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
785 |
end |
8ca95d819c7c
move code from "Metis_Tactics" to "Metis_Reconstruct"
blanchet
parents:
39958
diff
changeset
|
786 |
|
40665
1a65f0c74827
added "verbose" option to Metis to shut up its warnings if necessary
blanchet
parents:
40264
diff
changeset
|
787 |
val setup = trace_setup #> verbose_setup |
39978
11bfb7e7cc86
added "trace_metis" configuration option, replacing old-fashioned references
blanchet
parents:
39964
diff
changeset
|
788 |
|
39495
bb4fb9ffe2d1
added new "Metis_Reconstruct" module, temporarily empty
blanchet
parents:
diff
changeset
|
789 |
end; |