Fix *-arity exmales in stdlib_mettalog.metta docs

prolog/metta_lang/stdlib_mettalog.metta

@@ -107,17 +107,17 @@
 For example:
   ; Enable the built-in function `size-atom` that takes an atom and returns the size
     as a predicate with arity 2
-  (add-atom &dyn-space (predicate-arity size-atom 2))
+  (predicate-arity size-atom 2)
 
 
   ; Now `size-atom` can be used as a predicate in pattern matching
-  (match &dyn-space '(size-atom (a b c) $size) 
+  !(match &dyn-space '(size-atom (a b c) $size) 
          (The abc tuple was len $size))
   ; This pattern will resolve `Size = 3` and execute the action.
 
 
 Additionally, by running `size-atom` in reverse, you can compute a new atom based on a desired size:
-  (match &dyn-space '(size-atom $new-atom 4) 
+  !(match &dyn-space '(size-atom $new-atom 4) 
          (The new atom is $new-atom))
   ; This resolves `$new-atom` to a tuple of size 4, such as ($1 $2 $3 $4).
 
@@ -141,33 +141,34 @@ This reverse functionality is made possible because predicates can describe rela
 
 For example:
   ; Declare the built-in predicate `max` with arity 3
-  !(add-atom &dyn-space (predicate-arity max 3))
-
+  (predicate-arity max 3)
 
   ; Enable `max` as a function
-  !(add-atom &dyn-space (function-arity max 2))
+  (function-arity max 2)
 
 
   ; Define the rules for `max`
-  !(add-atom &dyn-space (= (max $X $Y $X) (<= $X $Y)))
-  !(add-atom &dyn-space (= (max $X $Y $Y) (> $X $Y)))
+  (= (max $X $Y $Y) (<= $X $Y))
+  (= (max $X $Y $X) (> $X $Y))
 
 
   ; Using `max` declaratively as a predicate
-  !(match &dyn-space (max (5 10) $max)
+  !(match &self (max (5 10) $max)
          (The maximum is $max))
-  ; This resolves `$max = 10`.
+  [(The maximum is 10)]
 
 
   ; Using `max` procedurally as a function
   !(max 5 10)
-  ; Returns: 10.
+  [10]
+
 
 
   ; Reverse execution with `max`
-  !(== (max $a $b) 10) ; as a function 
-  !(max $a $b 10) ; or as a predicate
-  ; Returns: a pair such as (8 10) or (10 5) where the maximum is 10.
+  !(let True (== (max $a $b) 10) ($a $b)) ; as a function
+  [(#(exists $a (=< $a 10)) 10), (10 #(exists $b (=< 10 $b )))]
+  !(match &self (max $a $b 10) ($a $b)) ; or as a predicate
+  [(#(exists $a (=< $a 10)) 10), (10 #(exists $b (=< 10 $b )))]
 
 
   This dual behavior allows predicates to act as functions, bridging procedural and declarative paradigms. By defining `function-arity`, the function automatically resolves using the logic of the associated predicate.")