merged
authorwenzelm
Fri, 27 Feb 2009 18:50:35 +0100
changeset 30152 0ddd8028f98c
parent 30151 629f3a92863e (diff)
parent 30148 5d04b67a866e (current diff)
child 30153 051d3825a15d
merged
doc-src/AxClass/Group/Group.thy
doc-src/AxClass/Group/Product.thy
doc-src/AxClass/Group/ROOT.ML
doc-src/AxClass/Group/Semigroups.thy
doc-src/AxClass/Group/document/Group.tex
doc-src/AxClass/Group/document/Product.tex
doc-src/AxClass/Group/document/Semigroups.tex
doc-src/AxClass/IsaMakefile
doc-src/AxClass/Makefile
doc-src/AxClass/Nat/NatClass.thy
doc-src/AxClass/Nat/ROOT.ML
doc-src/AxClass/Nat/document/NatClass.tex
doc-src/AxClass/axclass.tex
doc-src/AxClass/body.tex
doc-src/IsarImplementation/Thy/base.thy
doc-src/IsarImplementation/Thy/document/base.tex
doc-src/IsarImplementation/Thy/document/integration.tex
doc-src/IsarImplementation/Thy/document/isar.tex
doc-src/IsarImplementation/Thy/document/locale.tex
doc-src/IsarImplementation/Thy/document/logic.tex
doc-src/IsarImplementation/Thy/document/prelim.tex
doc-src/IsarImplementation/Thy/document/proof.tex
doc-src/IsarImplementation/Thy/document/tactic.tex
doc-src/IsarImplementation/Thy/integration.thy
doc-src/IsarImplementation/Thy/isar.thy
doc-src/IsarImplementation/Thy/locale.thy
doc-src/IsarImplementation/Thy/logic.thy
doc-src/IsarImplementation/Thy/prelim.thy
doc-src/IsarImplementation/Thy/proof.thy
doc-src/IsarImplementation/Thy/tactic.thy
doc-src/IsarImplementation/Thy/unused.thy
doc-src/IsarImplementation/checkglossary
doc-src/IsarImplementation/intro.tex
doc-src/IsarImplementation/makeglossary
doc-src/IsarOverview/Isar/document/.cvsignore
doc-src/Locales/.cvsignore
lib/browser/.cvsignore
lib/browser/GraphBrowser/.cvsignore
lib/browser/awtUtilities/.cvsignore
src/FOL/ex/IffOracle.thy
src/FOL/ex/NatClass.thy
src/HOL/AxClasses/Group.thy
src/HOL/AxClasses/Lattice/OrdInsts.thy
src/HOL/AxClasses/Product.thy
src/HOL/AxClasses/README.html
src/HOL/AxClasses/ROOT.ML
src/HOL/AxClasses/Semigroups.thy
src/Pure/Isar/find_consts.ML
src/Pure/Isar/find_theorems.ML
--- a/src/HOL/Tools/atp_wrapper.ML	Fri Feb 27 18:03:47 2009 +0100
+++ b/src/HOL/Tools/atp_wrapper.ML	Fri Feb 27 18:50:35 2009 +0100
@@ -96,7 +96,7 @@
 
 fun tptp_prover_opts_full max_new theory_const full command =
   external_prover
-    (ResAtp.write_problem_files ResHolClause.tptp_write_file max_new theory_const)
+    (ResAtp.write_problem_files false max_new theory_const)
     command
     ResReconstruct.find_failure_e_vamp_spass
     (if full then ResReconstruct.structured_proof else ResReconstruct.lemma_list_tstp);
@@ -153,7 +153,7 @@
 (* SPASS *)
 
 fun spass_opts max_new theory_const = external_prover
-  (ResAtp.write_problem_files ResHolClause.dfg_write_file max_new theory_const)
+  (ResAtp.write_problem_files true max_new theory_const)
   (Path.explode "$SPASS_HOME/SPASS", "-Auto -SOS=1 -PGiven=0 -PProblem=0 -Splits=0 -FullRed=0 -DocProof")
   ResReconstruct.find_failure_e_vamp_spass
   ResReconstruct.lemma_list_dfg;
--- a/src/HOL/Tools/res_atp.ML	Fri Feb 27 18:03:47 2009 +0100
+++ b/src/HOL/Tools/res_atp.ML	Fri Feb 27 18:50:35 2009 +0100
@@ -6,10 +6,7 @@
   val tvar_classes_of_terms : term list -> string list
   val tfree_classes_of_terms : term list -> string list
   val type_consts_of_terms : theory -> term list -> string list
-  val write_problem_files : (theory -> bool -> Thm.thm list -> string ->
-  (thm * (ResHolClause.axiom_name * ResHolClause.clause_id)) list * ResClause.classrelClause list *
-    ResClause.arityClause list -> string list -> ResHolClause.axiom_name list)
-    -> int -> bool
+  val write_problem_files : bool -> int -> bool
     -> (int -> Path.T) -> Proof.context * thm list * thm
     -> string list * ResHolClause.axiom_name Vector.vector list
 end;
@@ -524,11 +521,10 @@
 (* TODO: problem file for *one* subgoal would be sufficient *)
 (*Write out problem files for each subgoal.
   Argument probfile generates filenames from subgoal-number
-  Argument writer is either a tptp_write_file or dfg_write_file from ResHolClause
   Arguments max_new and theory_const are booleans controlling relevance_filter
     (necessary for different provers)
-  *)
-fun write_problem_files writer max_new theory_const probfile (ctxt, chain_ths, th) =
+*)
+fun write_problem_files dfg max_new theory_const probfile (ctxt, chain_ths, th) =
   let val goals = Thm.prems_of th
       val thy = ProofContext.theory_of ctxt
       fun get_neg_subgoals [] _ = []
@@ -548,6 +544,7 @@
       val white_cls = ResAxioms.cnf_rules_pairs thy white_thms
       (*clauses relevant to goal gl*)
       val axcls_list = map (fn ngcls => white_cls @ relevance_filter max_new theory_const thy included_cls (map prop_of ngcls)) goal_cls
+      val writer = if dfg then ResHolClause.dfg_write_file else ResHolClause.tptp_write_file
       fun write_all [] [] _ = []
         | write_all (ccls::ccls_list) (axcls::axcls_list) k =
             let val fname = File.platform_path (probfile k)
@@ -561,7 +558,7 @@
                 and supers = tvar_classes_of_terms axtms
                 and tycons = type_consts_of_terms thy (ccltms@axtms)
                 (*TFrees in conjecture clauses; TVars in axiom clauses*)
-                val (supers',arity_clauses) = ResClause.make_arity_clauses thy tycons supers
+                val (supers',arity_clauses) = ResClause.make_arity_clauses_dfg dfg thy tycons supers
                 val classrel_clauses = ResClause.make_classrel_clauses thy subs supers'
                 val clnames = writer thy isFO ccls fname (axcls,classrel_clauses,arity_clauses) []
                 val thm_names = Vector.fromList clnames
--- a/src/HOL/Tools/res_clause.ML	Fri Feb 27 18:03:47 2009 +0100
+++ b/src/HOL/Tools/res_clause.ML	Fri Feb 27 18:50:35 2009 +0100
@@ -27,9 +27,8 @@
   val make_fixed_var : string -> string
   val make_schematic_type_var : string * int -> string
   val make_fixed_type_var : string -> string
-  val dfg_format: bool ref
-  val make_fixed_const : string -> string
-  val make_fixed_type_const : string -> string
+  val make_fixed_const : bool -> string -> string
+  val make_fixed_type_const : bool -> string -> string
   val make_type_class : string -> string
   datatype kind = Axiom | Conjecture
   type axiom_name = string
@@ -50,6 +49,7 @@
   datatype classrelClause = ClassrelClause of
    {axiom_name: axiom_name, subclass: class, superclass: class}
   val make_classrel_clauses: theory -> class list -> class list -> classrelClause list
+  val make_arity_clauses_dfg: bool -> theory -> string list -> class list -> class list * arityClause list
   val make_arity_clauses: theory -> string list -> class list -> class list * arityClause list
   val add_type_sort_preds: typ * int Symtab.table -> int Symtab.table
   val add_classrelClause_preds : classrelClause * int Symtab.table -> int Symtab.table
@@ -197,28 +197,26 @@
 fun make_fixed_type_var x = tfree_prefix ^ (ascii_of (trim_type_var x));
 
 (*HACK because SPASS truncates identifiers to 63 characters :-(( *)
-val dfg_format = ref false;
-
 (*32-bit hash,so we expect no collisions unless there are around 65536 long identifiers...*)
-fun controlled_length s =
-  if size s > 60 andalso !dfg_format
+fun controlled_length dfg_format s =
+  if size s > 60 andalso dfg_format
   then Word.toString (Polyhash.hashw_string(s,0w0))
   else s;
 
-fun lookup_const c =
+fun lookup_const dfg c =
     case Symtab.lookup const_trans_table c of
         SOME c' => c'
-      | NONE => controlled_length (ascii_of c);
+      | NONE => controlled_length dfg (ascii_of c);
 
-fun lookup_type_const c =
+fun lookup_type_const dfg c =
     case Symtab.lookup type_const_trans_table c of
         SOME c' => c'
-      | NONE => controlled_length (ascii_of c);
+      | NONE => controlled_length dfg (ascii_of c);
 
-fun make_fixed_const "op =" = "equal"   (*MUST BE "equal" because it's built-in to ATPs*)
-  | make_fixed_const c      = const_prefix ^ lookup_const c;
+fun make_fixed_const _ "op =" = "equal"   (*MUST BE "equal" because it's built-in to ATPs*)
+  | make_fixed_const dfg c      = const_prefix ^ lookup_const dfg c;
 
-fun make_fixed_type_const c = tconst_prefix ^ lookup_type_const c;
+fun make_fixed_type_const dfg c = tconst_prefix ^ lookup_type_const dfg c;
 
 fun make_type_class clas = class_prefix ^ ascii_of clas;
 
@@ -251,13 +249,13 @@
 
 (*Flatten a type to a fol_type while accumulating sort constraints on the TFrees and
   TVars it contains.*)
-fun type_of (Type (a, Ts)) =
-      let val (folTyps, ts) = types_of Ts
-          val t = make_fixed_type_const a
+fun type_of dfg (Type (a, Ts)) =
+      let val (folTyps, ts) = types_of dfg Ts
+          val t = make_fixed_type_const dfg a
       in (Comp(t,folTyps), ts) end
-  | type_of T = (atomic_type T, [T])
-and types_of Ts =
-      let val (folTyps,ts) = ListPair.unzip (map type_of Ts)
+  | type_of dfg T = (atomic_type T, [T])
+and types_of dfg Ts =
+      let val (folTyps,ts) = ListPair.unzip (map (type_of dfg) Ts)
       in (folTyps, union_all ts) end;
 
 (*Make literals for sorted type variables*)
@@ -317,12 +315,12 @@
   | pack_sort(tvar, cls::srt) =  (cls, tvar) :: pack_sort(tvar, srt);
 
 (*Arity of type constructor tcon :: (arg1,...,argN)res*)
-fun make_axiom_arity_clause (tcons, axiom_name, (cls,args)) =
+fun make_axiom_arity_clause dfg (tcons, axiom_name, (cls,args)) =
    let val tvars = gen_TVars (length args)
        val tvars_srts = ListPair.zip (tvars,args)
    in
       ArityClause {axiom_name = axiom_name, 
-                   conclLit = TConsLit (cls, make_fixed_type_const tcons, tvars),
+                   conclLit = TConsLit (cls, make_fixed_type_const dfg tcons, tvars),
                    premLits = map TVarLit (union_all(map pack_sort tvars_srts))}
    end;
 
@@ -354,20 +352,20 @@
 
 (** Isabelle arities **)
 
-fun arity_clause _ _ (tcons, []) = []
-  | arity_clause seen n (tcons, ("HOL.type",_)::ars) =  (*ignore*)
-      arity_clause seen n (tcons,ars)
-  | arity_clause seen n (tcons, (ar as (class,_)) :: ars) =
+fun arity_clause dfg _ _ (tcons, []) = []
+  | arity_clause dfg seen n (tcons, ("HOL.type",_)::ars) =  (*ignore*)
+      arity_clause dfg seen n (tcons,ars)
+  | arity_clause dfg seen n (tcons, (ar as (class,_)) :: ars) =
       if class mem_string seen then (*multiple arities for the same tycon, class pair*)
-          make_axiom_arity_clause (tcons, lookup_type_const tcons ^ "_" ^ class ^ "_" ^ Int.toString n, ar) ::
-          arity_clause seen (n+1) (tcons,ars)
+          make_axiom_arity_clause dfg (tcons, lookup_type_const dfg tcons ^ "_" ^ class ^ "_" ^ Int.toString n, ar) ::
+          arity_clause dfg seen (n+1) (tcons,ars)
       else
-          make_axiom_arity_clause (tcons, lookup_type_const tcons ^ "_" ^ class, ar) ::
-          arity_clause (class::seen) n (tcons,ars)
+          make_axiom_arity_clause dfg (tcons, lookup_type_const dfg tcons ^ "_" ^ class, ar) ::
+          arity_clause dfg (class::seen) n (tcons,ars)
 
-fun multi_arity_clause [] = []
-  | multi_arity_clause ((tcons,ars) :: tc_arlists) =
-      arity_clause [] 1 (tcons, ars)  @  multi_arity_clause tc_arlists
+fun multi_arity_clause dfg [] = []
+  | multi_arity_clause dfg ((tcons,ars) :: tc_arlists) =
+      arity_clause dfg [] 1 (tcons, ars)  @  multi_arity_clause dfg tc_arlists
 
 (*Generate all pairs (tycon,class,sorts) such that tycon belongs to class in theory thy
   provided its arguments have the corresponding sorts.*)
@@ -390,10 +388,10 @@
           val (classes', cpairs') = iter_type_class_pairs thy tycons newclasses
       in  (classes' union classes, cpairs' union cpairs)  end;
 
-fun make_arity_clauses thy tycons classes =
+fun make_arity_clauses_dfg dfg thy tycons classes =
   let val (classes', cpairs) = iter_type_class_pairs thy tycons classes
-  in  (classes', multi_arity_clause cpairs)  end;
-
+  in  (classes', multi_arity_clause dfg cpairs)  end;
+val make_arity_clauses = make_arity_clauses_dfg false;
 
 (**** Find occurrences of predicates in clauses ****)
 
--- a/src/HOL/Tools/res_hol_clause.ML	Fri Feb 27 18:03:47 2009 +0100
+++ b/src/HOL/Tools/res_hol_clause.ML	Fri Feb 27 18:50:35 2009 +0100
@@ -59,16 +59,12 @@
   use of the "apply" operator. Use of hBOOL is also minimized.*)
 val minimize_applies = ref true;
 
-val const_min_arity = ref (Symtab.empty : int Symtab.table);
-
-val const_needs_hBOOL = ref (Symtab.empty : bool Symtab.table);
-
-fun min_arity_of c = getOpt (Symtab.lookup(!const_min_arity) c, 0);
+fun min_arity_of const_min_arity c = getOpt (Symtab.lookup const_min_arity c, 0);
 
 (*True if the constant ever appears outside of the top-level position in literals.
   If false, the constant always receives all of its arguments and is used as a predicate.*)
-fun needs_hBOOL c = not (!minimize_applies) orelse
-                    getOpt (Symtab.lookup(!const_needs_hBOOL) c, false);
+fun needs_hBOOL const_needs_hBOOL c = not (!minimize_applies) orelse
+                    getOpt (Symtab.lookup const_needs_hBOOL c, false);
 
 
 (******************************************************)
@@ -110,67 +106,68 @@
 
 fun isTaut (Clause {literals,...}) = exists isTrue literals;
 
-fun type_of (Type (a, Ts)) =
-      let val (folTypes,ts) = types_of Ts
-      in  (RC.Comp(RC.make_fixed_type_const a, folTypes), ts)  end
-  | type_of (tp as (TFree(a,s))) =
+fun type_of dfg (Type (a, Ts)) =
+      let val (folTypes,ts) = types_of dfg Ts
+      in  (RC.Comp(RC.make_fixed_type_const dfg a, folTypes), ts)  end
+  | type_of dfg (tp as (TFree(a,s))) =
       (RC.AtomF (RC.make_fixed_type_var a), [tp])
-  | type_of (tp as (TVar(v,s))) =
+  | type_of dfg (tp as (TVar(v,s))) =
       (RC.AtomV (RC.make_schematic_type_var v), [tp])
-and types_of Ts =
-      let val (folTyps,ts) = ListPair.unzip (map type_of Ts)
+and types_of dfg Ts =
+      let val (folTyps,ts) = ListPair.unzip (map (type_of dfg) Ts)
       in  (folTyps, RC.union_all ts)  end;
 
 (* same as above, but no gathering of sort information *)
-fun simp_type_of (Type (a, Ts)) =
-      RC.Comp(RC.make_fixed_type_const a, map simp_type_of Ts)
-  | simp_type_of (TFree (a,s)) = RC.AtomF(RC.make_fixed_type_var a)
-  | simp_type_of (TVar (v,s)) = RC.AtomV(RC.make_schematic_type_var v);
+fun simp_type_of dfg (Type (a, Ts)) =
+      RC.Comp(RC.make_fixed_type_const dfg a, map (simp_type_of dfg) Ts)
+  | simp_type_of dfg (TFree (a,s)) = RC.AtomF(RC.make_fixed_type_var a)
+  | simp_type_of dfg (TVar (v,s)) = RC.AtomV(RC.make_schematic_type_var v);
 
 
-fun const_type_of thy (c,t) =
-      let val (tp,ts) = type_of t
-      in  (tp, ts, map simp_type_of (Sign.const_typargs thy (c,t))) end;
+fun const_type_of dfg thy (c,t) =
+      let val (tp,ts) = type_of dfg t
+      in  (tp, ts, map (simp_type_of dfg) (Sign.const_typargs thy (c,t))) end;
 
 (* convert a Term.term (with combinators) into a combterm, also accummulate sort info *)
-fun combterm_of thy (Const(c,t)) =
-      let val (tp,ts,tvar_list) = const_type_of thy (c,t)
-          val c' = CombConst(RC.make_fixed_const c, tp, tvar_list)
+fun combterm_of dfg thy (Const(c,t)) =
+      let val (tp,ts,tvar_list) = const_type_of dfg thy (c,t)
+          val c' = CombConst(RC.make_fixed_const dfg c, tp, tvar_list)
       in  (c',ts)  end
-  | combterm_of thy (Free(v,t)) =
-      let val (tp,ts) = type_of t
+  | combterm_of dfg thy (Free(v,t)) =
+      let val (tp,ts) = type_of dfg t
           val v' = CombConst(RC.make_fixed_var v, tp, [])
       in  (v',ts)  end
-  | combterm_of thy (Var(v,t)) =
-      let val (tp,ts) = type_of t
+  | combterm_of dfg thy (Var(v,t)) =
+      let val (tp,ts) = type_of dfg t
           val v' = CombVar(RC.make_schematic_var v,tp)
       in  (v',ts)  end
-  | combterm_of thy (P $ Q) =
-      let val (P',tsP) = combterm_of thy P
-          val (Q',tsQ) = combterm_of thy Q
+  | combterm_of dfg thy (P $ Q) =
+      let val (P',tsP) = combterm_of dfg thy P
+          val (Q',tsQ) = combterm_of dfg thy Q
       in  (CombApp(P',Q'), tsP union tsQ)  end
-  | combterm_of thy (t as Abs _) = raise RC.CLAUSE("HOL CLAUSE",t);
+  | combterm_of _ thy (t as Abs _) = raise RC.CLAUSE("HOL CLAUSE",t);
 
-fun predicate_of thy ((Const("Not",_) $ P), polarity) = predicate_of thy (P, not polarity)
-  | predicate_of thy (t,polarity) = (combterm_of thy (Envir.eta_contract t), polarity);
+fun predicate_of dfg thy ((Const("Not",_) $ P), polarity) = predicate_of dfg thy (P, not polarity)
+  | predicate_of dfg thy (t,polarity) = (combterm_of dfg thy (Envir.eta_contract t), polarity);
 
-fun literals_of_term1 thy args (Const("Trueprop",_) $ P) = literals_of_term1 thy args P
-  | literals_of_term1 thy args (Const("op |",_) $ P $ Q) =
-      literals_of_term1 thy (literals_of_term1 thy args P) Q
-  | literals_of_term1 thy (lits,ts) P =
-      let val ((pred,ts'),pol) = predicate_of thy (P,true)
+fun literals_of_term1 dfg thy args (Const("Trueprop",_) $ P) = literals_of_term1 dfg thy args P
+  | literals_of_term1 dfg thy args (Const("op |",_) $ P $ Q) =
+      literals_of_term1 dfg thy (literals_of_term1 dfg thy args P) Q
+  | literals_of_term1 dfg thy (lits,ts) P =
+      let val ((pred,ts'),pol) = predicate_of dfg thy (P,true)
       in
           (Literal(pol,pred)::lits, ts union ts')
       end;
 
-fun literals_of_term thy P = literals_of_term1 thy ([],[]) P;
+fun literals_of_term_dfg dfg thy P = literals_of_term1 dfg thy ([],[]) P;
+val literals_of_term = literals_of_term_dfg false;
 
 (* Problem too trivial for resolution (empty clause) *)
 exception TOO_TRIVIAL;
 
 (* making axiom and conjecture clauses *)
-fun make_clause thy (clause_id,axiom_name,kind,th) =
-    let val (lits,ctypes_sorts) = literals_of_term thy (prop_of th)
+fun make_clause dfg thy (clause_id,axiom_name,kind,th) =
+    let val (lits,ctypes_sorts) = literals_of_term_dfg dfg thy (prop_of th)
     in
         if forall isFalse lits
         then raise TOO_TRIVIAL
@@ -180,20 +177,20 @@
     end;
 
 
-fun add_axiom_clause thy ((th,(name,id)), pairs) =
-  let val cls = make_clause thy (id, name, RC.Axiom, th)
+fun add_axiom_clause dfg thy ((th,(name,id)), pairs) =
+  let val cls = make_clause dfg thy (id, name, RC.Axiom, th)
   in
       if isTaut cls then pairs else (name,cls)::pairs
   end;
 
-fun make_axiom_clauses thy = foldl (add_axiom_clause thy) [];
+fun make_axiom_clauses dfg thy = foldl (add_axiom_clause dfg thy) [];
 
-fun make_conjecture_clauses_aux _ _ [] = []
-  | make_conjecture_clauses_aux thy n (th::ths) =
-      make_clause thy (n,"conjecture", RC.Conjecture, th) ::
-      make_conjecture_clauses_aux thy (n+1) ths;
+fun make_conjecture_clauses_aux dfg _ _ [] = []
+  | make_conjecture_clauses_aux dfg thy n (th::ths) =
+      make_clause dfg thy (n,"conjecture", RC.Conjecture, th) ::
+      make_conjecture_clauses_aux dfg thy (n+1) ths;
 
-fun make_conjecture_clauses thy = make_conjecture_clauses_aux thy 0;
+fun make_conjecture_clauses dfg thy = make_conjecture_clauses_aux dfg thy 0;
 
 
 (**********************************************************************)
@@ -218,8 +215,8 @@
 
 val type_wrapper = "ti";
 
-fun head_needs_hBOOL (CombConst(c,_,_)) = needs_hBOOL c
-  | head_needs_hBOOL _ = true;
+fun head_needs_hBOOL const_needs_hBOOL (CombConst(c,_,_)) = needs_hBOOL const_needs_hBOOL c
+  | head_needs_hBOOL const_needs_hBOOL _ = true;
 
 fun wrap_type (s, tp) =
   if !typ_level=T_FULL then
@@ -235,9 +232,9 @@
 
 (*Apply an operator to the argument strings, using either the "apply" operator or
   direct function application.*)
-fun string_of_applic (CombConst(c,tp,tvars), args) =
+fun string_of_applic cma (CombConst(c,tp,tvars), args) =
       let val c = if c = "equal" then "c_fequal" else c
-          val nargs = min_arity_of c
+          val nargs = min_arity_of cma c
           val args1 = List.take(args, nargs)
             handle Subscript => error ("string_of_applic: " ^ c ^ " has arity " ^
                                          Int.toString nargs ^ " but is applied to " ^
@@ -248,30 +245,30 @@
       in
           string_apply (c ^ RC.paren_pack (args1@targs), args2)
       end
-  | string_of_applic (CombVar(v,tp), args) = string_apply (v, args)
-  | string_of_applic _ = error "string_of_applic";
+  | string_of_applic cma (CombVar(v,tp), args) = string_apply (v, args)
+  | string_of_applic _ _ = error "string_of_applic";
 
-fun wrap_type_if (head, s, tp) = if head_needs_hBOOL head then wrap_type (s, tp) else s;
+fun wrap_type_if cnh (head, s, tp) = if head_needs_hBOOL cnh head then wrap_type (s, tp) else s;
 
-fun string_of_combterm t =
+fun string_of_combterm cma cnh t =
   let val (head, args) = strip_comb t
-  in  wrap_type_if (head,
-                    string_of_applic (head, map string_of_combterm args),
+  in  wrap_type_if cnh (head,
+                    string_of_applic cma (head, map (string_of_combterm cma cnh) args),
                     type_of_combterm t)
   end;
 
 (*Boolean-valued terms are here converted to literals.*)
-fun boolify t = "hBOOL" ^ RC.paren_pack [string_of_combterm t];
+fun boolify cma cnh t = "hBOOL" ^ RC.paren_pack [string_of_combterm cma cnh t];
 
-fun string_of_predicate t =
+fun string_of_predicate cma cnh t =
   case t of
       (CombApp(CombApp(CombConst("equal",_,_), t1), t2)) =>
           (*DFG only: new TPTP prefers infix equality*)
-          ("equal" ^ RC.paren_pack [string_of_combterm t1, string_of_combterm t2])
+          ("equal" ^ RC.paren_pack [string_of_combterm cma cnh t1, string_of_combterm cma cnh t2])
     | _ =>
           case #1 (strip_comb t) of
-              CombConst(c,_,_) => if needs_hBOOL c then boolify t else string_of_combterm t
-            | _ => boolify t;
+              CombConst(c,_,_) => if needs_hBOOL cnh c then boolify cma cnh t else string_of_combterm cma cnh t
+            | _ => boolify cma cnh t;
 
 fun string_of_clausename (cls_id,ax_name) =
     RC.clause_prefix ^ RC.ascii_of ax_name ^ "_" ^ Int.toString cls_id;
@@ -282,23 +279,23 @@
 
 (*** tptp format ***)
 
-fun tptp_of_equality pol (t1,t2) =
+fun tptp_of_equality cma cnh pol (t1,t2) =
   let val eqop = if pol then " = " else " != "
-  in  string_of_combterm t1 ^ eqop ^ string_of_combterm t2  end;
+  in  string_of_combterm cma cnh t1 ^ eqop ^ string_of_combterm cma cnh t2  end;
 
-fun tptp_literal (Literal(pol, CombApp(CombApp(CombConst("equal",_,_), t1), t2))) =
-      tptp_of_equality pol (t1,t2)
-  | tptp_literal (Literal(pol,pred)) =
-      RC.tptp_sign pol (string_of_predicate pred);
+fun tptp_literal cma cnh (Literal(pol, CombApp(CombApp(CombConst("equal",_,_), t1), t2))) =
+      tptp_of_equality cma cnh pol (t1,t2)
+  | tptp_literal cma cnh (Literal(pol,pred)) =
+      RC.tptp_sign pol (string_of_predicate cma cnh pred);
 
 (*Given a clause, returns its literals paired with a list of literals concerning TFrees;
   the latter should only occur in conjecture clauses.*)
-fun tptp_type_lits pos (Clause{literals, ctypes_sorts, ...}) =
-      (map tptp_literal literals, 
+fun tptp_type_lits cma cnh pos (Clause{literals, ctypes_sorts, ...}) =
+      (map (tptp_literal cma cnh) literals, 
        map (RC.tptp_of_typeLit pos) (RC.add_typs ctypes_sorts));
 
-fun clause2tptp (cls as Clause{axiom_name,clause_id,kind,ctypes_sorts,...}) =
-  let val (lits,tylits) = tptp_type_lits (kind = RC.Conjecture) cls
+fun clause2tptp cma cnh (cls as Clause{axiom_name,clause_id,kind,ctypes_sorts,...}) =
+  let val (lits,tylits) = tptp_type_lits cma cnh (kind = RC.Conjecture) cls
   in
       (RC.gen_tptp_cls(clause_id,axiom_name,kind,lits,tylits), tylits)
   end;
@@ -306,10 +303,10 @@
 
 (*** dfg format ***)
 
-fun dfg_literal (Literal(pol,pred)) = RC.dfg_sign pol (string_of_predicate pred);
+fun dfg_literal cma cnh (Literal(pol,pred)) = RC.dfg_sign pol (string_of_predicate cma cnh pred);
 
-fun dfg_type_lits pos (Clause{literals, ctypes_sorts, ...}) =
-      (map dfg_literal literals, 
+fun dfg_type_lits cma cnh pos (Clause{literals, ctypes_sorts, ...}) =
+      (map (dfg_literal cma cnh) literals, 
        map (RC.dfg_of_typeLit pos) (RC.add_typs ctypes_sorts));
 
 fun get_uvars (CombConst _) vars = vars
@@ -320,8 +317,8 @@
 
 fun dfg_vars (Clause {literals,...}) = RC.union_all (map get_uvars_l literals);
 
-fun clause2dfg (cls as Clause{axiom_name,clause_id,kind,ctypes_sorts,...}) =
-  let val (lits,tylits) = dfg_type_lits (kind = RC.Conjecture) cls
+fun clause2dfg cma cnh (cls as Clause{axiom_name,clause_id,kind,ctypes_sorts,...}) =
+  let val (lits,tylits) = dfg_type_lits cma cnh (kind = RC.Conjecture) cls
       val vars = dfg_vars cls
       val tvars = RC.get_tvar_strs ctypes_sorts
   in
@@ -333,30 +330,30 @@
 
 fun addtypes tvars tab = foldl RC.add_foltype_funcs tab tvars;
 
-fun add_decls (CombConst(c,tp,tvars), (funcs,preds)) =
+fun add_decls cma cnh (CombConst(c,tp,tvars), (funcs,preds)) =
       if c = "equal" then (addtypes tvars funcs, preds)
       else
-	let val arity = min_arity_of c
+	let val arity = min_arity_of cma c
 	    val ntys = if !typ_level = T_CONST then length tvars else 0
 	    val addit = Symtab.update(c, arity+ntys)
 	in
-	    if needs_hBOOL c then (addtypes tvars (addit funcs), preds)
+	    if needs_hBOOL cnh c then (addtypes tvars (addit funcs), preds)
 	    else (addtypes tvars funcs, addit preds)
 	end
-  | add_decls (CombVar(_,ctp), (funcs,preds)) =
+  | add_decls _ _ (CombVar(_,ctp), (funcs,preds)) =
       (RC.add_foltype_funcs (ctp,funcs), preds)
-  | add_decls (CombApp(P,Q),decls) = add_decls(P,add_decls (Q,decls));
+  | add_decls cma cnh (CombApp(P,Q),decls) = add_decls cma cnh (P,add_decls cma cnh (Q,decls));
 
-fun add_literal_decls (Literal(_,c), decls) = add_decls (c,decls);
+fun add_literal_decls cma cnh (Literal(_,c), decls) = add_decls cma cnh (c,decls);
 
-fun add_clause_decls (Clause {literals, ...}, decls) =
-    foldl add_literal_decls decls literals
+fun add_clause_decls cma cnh (Clause {literals, ...}, decls) =
+    foldl (add_literal_decls cma cnh) decls literals
     handle Symtab.DUP a => error ("function " ^ a ^ " has multiple arities")
 
-fun decls_of_clauses clauses arity_clauses =
+fun decls_of_clauses cma cnh clauses arity_clauses =
   let val init_functab = Symtab.update (type_wrapper,2) (Symtab.update ("hAPP",2) RC.init_functab)
       val init_predtab = Symtab.update ("hBOOL",1) Symtab.empty
-      val (functab,predtab) = (foldl add_clause_decls (init_functab, init_predtab) clauses)
+      val (functab,predtab) = (foldl (add_clause_decls cma cnh) (init_functab, init_predtab) clauses)
   in
       (Symtab.dest (foldl RC.add_arityClause_funcs functab arity_clauses),
        Symtab.dest predtab)
@@ -402,7 +399,7 @@
 fun cnf_helper_thms thy =
   ResAxioms.cnf_rules_pairs thy o map ResAxioms.pairname
 
-fun get_helper_clauses thy isFO (conjectures, axclauses, user_lemmas) =
+fun get_helper_clauses dfg thy isFO (conjectures, axclauses, user_lemmas) =
   if isFO then []  (*first-order*)
   else
     let val ct0 = foldl count_clause init_counters conjectures
@@ -419,66 +416,67 @@
                 else []
         val other = cnf_helper_thms thy [ext,fequal_imp_equal,equal_imp_fequal]
     in
-        map #2 (make_axiom_clauses thy (other @ IK @ BC @ S))
+        map #2 (make_axiom_clauses dfg thy (other @ IK @ BC @ S))
     end;
 
 (*Find the minimal arity of each function mentioned in the term. Also, note which uses
   are not at top level, to see if hBOOL is needed.*)
-fun count_constants_term toplev t =
+fun count_constants_term toplev t (const_min_arity, const_needs_hBOOL) =
   let val (head, args) = strip_comb t
       val n = length args
-      val _ = List.app (count_constants_term false) args
+      val (const_min_arity, const_needs_hBOOL) = fold (count_constants_term false) args (const_min_arity, const_needs_hBOOL)
   in
       case head of
           CombConst (a,_,_) => (*predicate or function version of "equal"?*)
             let val a = if a="equal" andalso not toplev then "c_fequal" else a
+            val const_min_arity = Symtab.map_default (a,n) (curry Int.min n) const_min_arity
             in
-              const_min_arity := Symtab.map_default (a,n) (curry Int.min n) (!const_min_arity);
-              if toplev then ()
-              else const_needs_hBOOL := Symtab.update (a,true) (!const_needs_hBOOL)
+              if toplev then (const_min_arity, const_needs_hBOOL)
+              else (const_min_arity, Symtab.update (a,true) (const_needs_hBOOL))
             end
-        | ts => ()
+        | ts => (const_min_arity, const_needs_hBOOL)
   end;
 
 (*A literal is a top-level term*)
-fun count_constants_lit (Literal (_,t)) = count_constants_term true t;
-
-fun count_constants_clause (Clause{literals,...}) = List.app count_constants_lit literals;
+fun count_constants_lit (Literal (_,t)) (const_min_arity, const_needs_hBOOL) =
+  count_constants_term true t (const_min_arity, const_needs_hBOOL);
 
-fun display_arity (c,n) =
+fun count_constants_clause (Clause{literals,...}) (const_min_arity, const_needs_hBOOL) =
+  fold count_constants_lit literals (const_min_arity, const_needs_hBOOL);
+
+fun display_arity const_needs_hBOOL (c,n) =
   Output.debug (fn () => "Constant: " ^ c ^ " arity:\t" ^ Int.toString n ^
-                (if needs_hBOOL c then " needs hBOOL" else ""));
+                (if needs_hBOOL const_needs_hBOOL c then " needs hBOOL" else ""));
 
 fun count_constants (conjectures, axclauses, helper_clauses) =
   if !minimize_applies then
-    (const_min_arity := Symtab.empty;
-     const_needs_hBOOL := Symtab.empty;
-     List.app count_constants_clause conjectures;
-     List.app count_constants_clause axclauses;
-     List.app count_constants_clause helper_clauses;
-     List.app display_arity (Symtab.dest (!const_min_arity)))
-  else ();
+     let val (const_min_arity, const_needs_hBOOL) =
+          fold count_constants_clause conjectures (Symtab.empty, Symtab.empty)
+       |> fold count_constants_clause axclauses
+       |> fold count_constants_clause helper_clauses
+     val _ = List.app (display_arity const_needs_hBOOL) (Symtab.dest (const_min_arity))
+     in (const_min_arity, const_needs_hBOOL) end
+  else (Symtab.empty, Symtab.empty);
 
 (* tptp format *)
 
 (* write TPTP format to a single file *)
 fun tptp_write_file thy isFO thms filename (ax_tuples,classrel_clauses,arity_clauses) user_lemmas =
     let val _ = Output.debug (fn () => ("Preparing to write the TPTP file " ^ filename))
-        val _ = RC.dfg_format := false
-        val conjectures = make_conjecture_clauses thy thms
-        val (clnames,axclauses) = ListPair.unzip (make_axiom_clauses thy ax_tuples)
-        val helper_clauses = get_helper_clauses thy isFO (conjectures, axclauses, user_lemmas)
-        val _ = count_constants (conjectures, axclauses, helper_clauses);
-        val (tptp_clss,tfree_litss) = ListPair.unzip (map clause2tptp conjectures)
+        val conjectures = make_conjecture_clauses false thy thms
+        val (clnames,axclauses) = ListPair.unzip (make_axiom_clauses false thy ax_tuples)
+        val helper_clauses = get_helper_clauses false thy isFO (conjectures, axclauses, user_lemmas)
+        val (const_min_arity, const_needs_hBOOL) = count_constants (conjectures, axclauses, helper_clauses);
+        val (tptp_clss,tfree_litss) = ListPair.unzip (map (clause2tptp const_min_arity const_needs_hBOOL) conjectures)
         val tfree_clss = map RC.tptp_tfree_clause (foldl (op union_string) [] tfree_litss)
         val out = TextIO.openOut filename
     in
-        List.app (curry TextIO.output out o #1 o clause2tptp) axclauses;
+        List.app (curry TextIO.output out o #1 o (clause2tptp const_min_arity const_needs_hBOOL)) axclauses;
         RC.writeln_strs out tfree_clss;
         RC.writeln_strs out tptp_clss;
         List.app (curry TextIO.output out o RC.tptp_classrelClause) classrel_clauses;
         List.app (curry TextIO.output out o RC.tptp_arity_clause) arity_clauses;
-        List.app (curry TextIO.output out o #1 o clause2tptp) helper_clauses;
+        List.app (curry TextIO.output out o #1 o (clause2tptp const_min_arity const_needs_hBOOL)) helper_clauses;
         TextIO.closeOut out;
         clnames
     end;
@@ -488,18 +486,17 @@
 
 fun dfg_write_file thy isFO thms filename (ax_tuples,classrel_clauses,arity_clauses) user_lemmas =
     let val _ = Output.debug (fn () => ("Preparing to write the DFG file " ^ filename))
-        val _ = RC.dfg_format := true
-        val conjectures = make_conjecture_clauses thy thms
-        val (clnames,axclauses) = ListPair.unzip (make_axiom_clauses thy ax_tuples)
-        val helper_clauses = get_helper_clauses thy isFO (conjectures, axclauses, user_lemmas)
-        val _ = count_constants (conjectures, axclauses, helper_clauses);
-        val (dfg_clss, tfree_litss) = ListPair.unzip (map clause2dfg conjectures)
+        val conjectures = make_conjecture_clauses true thy thms
+        val (clnames,axclauses) = ListPair.unzip (make_axiom_clauses true thy ax_tuples)
+        val helper_clauses = get_helper_clauses true thy isFO (conjectures, axclauses, user_lemmas)
+        val (const_min_arity, const_needs_hBOOL) = count_constants (conjectures, axclauses, helper_clauses);
+        val (dfg_clss, tfree_litss) = ListPair.unzip (map (clause2dfg const_min_arity const_needs_hBOOL) conjectures)
         and probname = Path.implode (Path.base (Path.explode filename))
-        val axstrs = map (#1 o clause2dfg) axclauses
+        val axstrs = map (#1 o (clause2dfg const_min_arity const_needs_hBOOL)) axclauses
         val tfree_clss = map RC.dfg_tfree_clause (RC.union_all tfree_litss)
         val out = TextIO.openOut filename
-        val helper_clauses_strs = map (#1 o clause2dfg) helper_clauses
-        val (funcs,cl_preds) = decls_of_clauses (helper_clauses @ conjectures @ axclauses) arity_clauses
+        val helper_clauses_strs = map (#1 o (clause2dfg const_min_arity const_needs_hBOOL)) helper_clauses
+        val (funcs,cl_preds) = decls_of_clauses const_min_arity const_needs_hBOOL (helper_clauses @ conjectures @ axclauses) arity_clauses
         and ty_preds = preds_of_clauses axclauses classrel_clauses arity_clauses
     in
         TextIO.output (out, RC.string_of_start probname);