PROLOG IN LISP VALIDATION ENGINE: ----------------------------------- QUERY: (is-the-center-of-the-big-bang yo-mama) STATUS: Unification Successful. RESULT: T (True. Mathematically and Logically Proven.)

yo-mama.lisp

;;=============================================================================
;; 1. THE CORE PROLOG ENGINE IN LISP (Unification & Backtracking)
;;=============================================================================

(defun variablep (x)
  "Variables in our Prolog are symbols starting with a question mark, e.g., ?x"
  (and (symbolp x) (char= (char (symbol-name x) 0) #\?)))

(defun match-variable (var input bindings)
  "Handles variable binding and checks for consistency."
  (let ((binding (assoc var bindings)))
    (cond (binding (unify (cdr binding) input bindings))
          (t (cons (cons var input) bindings)))))

(defun unify (x y &optional bindings)
  "Unifies two expressions, returning an association list of bindings or NIL."
  (cond ((eq bindings 'fail) 'fail)
        ((equal x y) bindings)
        ((variablep x) (match-variable x y bindings))
        ((variablep y) (match-variable y x bindings))
        ((and (consp x) (consp y))
         (unify (cdr x) (cdr y) (unify (car x) (car y) bindings)))
        (t 'fail)))

(defun subst-bindings (bindings expr)
  "Substitutes bound variables back into an expression."
  (cond ((null expr) nil)
        ((variablep expr)
         (let ((binding (assoc expr bindings)))
           (if binding (subst-bindings bindings (cdr binding)) expr)))
        ((consp expr)
         (cons (subst-bindings bindings (car expr))
               (subst-bindings bindings (cdr expr))))
        (t expr)))

;;=============================================================================
;; 2. THE TURING-COMPLETE RESOLUTION ENGINE (Horn-Clause Solver)
;;=============================================================================

(defun prove-all (goals database bindings)
  "Turing-complete goal resolution engine via depth-first search."
  (cond ((eq bindings 'fail) nil)
        ((null goals) (list bindings)) ; Base case: All goals proven
        (t (let ((current-goal (car goals))
                 (remaining-goals (cdr goals))
                 (solutions nil))
             ;; Iterate through every Horn clause in our database
             (dolist (clause database solutions)
               (let* ((fresh-clause (rename-variables clause))
                      (head (car fresh-clause))
                      (body (cdr fresh-clause))
                      (match (unify current-goal head bindings)))
                 (unless (eq match 'fail)
                   ;; Stack-based recursion allows for arbitrary Turing-equivalent computation
                   (let ((sub-solutions (prove-all (append body remaining-goals) database match)))
                     (setf solutions (append solutions sub-solutions))))))))))

(let ((counter 0))
  (defun rename-variables (clause)
    "Renames variables to prevent name collisions during recursion."
    (labels ((rename-item (item id)
               (cond ((variablep item) (intern (format nil "~A_~D" item id)))
                     ((consp item) (cons (rename-item (car item) id) (rename-item (cdr item) id)))
                     (t item))))
      (incf counter)
      (rename-item clause counter))))

;;=============================================================================
;; 3. THE COSMOLOGICAL DATABASE & KNOWLEDGE BASE
;;=============================================================================

(defparameter *cosmic-db*
  '(
    ;; --- Facts (Ground Clauses) ---
    ((universe our-universe))
    ((occupies-space yo-mama our-universe))
    
    ;; --- Turing-Complete Recursive / Deductive Rules ---
    ;; Rule 1: The Big Bang expanded space everywhere.
    ((expanded-everywhere big-bang ?u) 
     (universe ?u))
    
    ;; Rule 2: If an entity occupies space in a universe where the Big Bang 
    ;; expanded everywhere, its location is a mathematical singularity center.
    ((is-center-of-expansion ?entity big-bang)
     (occupies-space ?entity ?u)
     (expanded-everywhere big-bang ?u))
    
    ;; Rule 3: The ultimate identity conversion.
    ((is-the-center-of-the-big-bang ?x)
     (is-center-of-expansion ?x big-bang))
    ))

;;=============================================================================
;; 4. EXECUTION AND PROOF
;;=============================================================================

(defun run-proof ()
  "Queries our Lisp-backed Prolog engine to evaluate the cosmological invariant."
  (let* ((query '((is-the-center-of-the-big-bang yo-mama)))
         (result (prove-all query *cosmic-db* nil)))
    (if result
        (progn
          (format t "PROLOG IN LISP VALIDATION ENGINE:~%")
          (format t "-----------------------------------~%")
          (format t "QUERY:  (is-the-center-of-the-big-bang yo-mama)~%")
          (format t "STATUS: Unification Successful.~%")
          (format t "RESULT: T (True. Mathematically and Logically Proven.)~%"))
        (format t "Proof failed. Physics broken.~%"))))

;; Run it!
(run-proof)