(defun snark-verbose () (snark:print-options-when-starting nil) (snark:print-agenda-when-finished nil) (snark:print-clocks-when-finished t) (snark:print-final-rows nil) (snark:print-symbol-table-warnings nil) (snark:print-summary-when-finished t) (snark:print-row-answers nil) (snark:print-row-goals nil) (snark:print-rows-when-derived nil) (snark:print-row-reasons nil) (snark:print-row-partitions nil) (snark:print-rows-prettily nil) (snark:print-rows :min 0 :max 0)) (defun temp-sorts () (snark:declare-sort 'Room) (snark:declare-sort 'Door) (snark:declare-sort 'Agent) (snark:declare-sort 'Name) (snark:declare-subsort 'Robot 'Agent :subsorts-incompatible t) (snark:declare-subsort 'Person 'Agent :subsorts-incompatible t) (snark:declare-subsort 'Commander 'Person :subsorts-incompatible t) (snark:declare-subsort 'Prisoner 'Person :subsorts-incompatible t) (snark:declare-constant 'guard :sort 'Robot) (snark:declare-constant 'guide :sort 'Robot) (snark:declare-constant 'commander :sort 'Commander) (snark:declare-constant 'prisoner :sort 'Prisoner) (snark:declare-constant 'room1 :sort 'Room) (snark:declare-constant 'room2 :sort 'Room) (snark:declare-constant 'hallway :sort 'Room) (snark:declare-constant 'accompany :sort 'Name) (snark:declare-function 'door 1 :sort '(Door Room)) (snark:declare-relation 'robot 1 :sort '(Robot)) (snark:declare-relation 'room 1 :sort '(Room)) (snark:declare-relation 'person 1 :sort '(Person)) (snark:declare-relation 'commander 1 :sort '(Commander)) (snark:declare-relation 'prisoner 1 :sort '(Prisoner)) (snark:declare-relation 'in 2 :sort '(Agent Room)) (snark:declare-relation 'sameroom 2 :sort '(Agent Agent)) (snark:declare-relation 'interrogate 2 :sort '(Agent Agent)) (snark:declare-relation 'can 4 :sort '(Name Agent Agent Agent)) (snark:declare-relation 'accompanies 2 :sort '(Agent Agent)) (snark:declare-relation 'open 1 :sort '(Door)) (snark:declare-variable '?room :sort 'Room) (snark:declare-variable '?room1 :sort 'Room) (snark:declare-variable '?room2 :sort 'Room) (snark:declare-variable '?person :sort 'Person) (snark:declare-variable '?person1 :sort 'Person) (snark:declare-variable '?person2 :sort 'Person) (snark:declare-variable '?actor :sort 'Agent) ) (defun snark-deverbose () (snark:print-options-when-starting nil) (snark:print-agenda-when-finished nil) (snark:print-clocks-when-finished nil) (snark:print-final-rows nil) (snark:print-symbol-table-warnings nil) (snark:print-summary-when-finished nil) (snark:print-row-answers nil) (snark:print-row-goals nil) (snark:print-rows-when-derived nil) (snark:print-row-reasons nil) (snark:print-row-partitions nil) (snark:print-rows-prettily nil) (snark:print-rows :min 0 :max 0)) (defun setup-snark (&key (time-limit 5) (verbose nil)) (snark:initialize :verbose verbose) (if (not verbose) (snark-deverbose) ) (snark:run-time-limit 5) (snark:assert-supported t) (snark:assume-supported t) (snark:prove-supported t) (snark:use-hyperresolution t) (snark:use-paramodulation t) (snark:use-term-ordering :recursive-path) (snark:use-simplification-by-equalities t) (snark::declare-code-for-lists) (snark:allow-skolem-symbols-in-answers nil)) (defun row-formula (name)) (defun !@ (x) "reading logic forms with the symbols in the correct package" (let ((*package* (find-package :snark))) (read-from-string (princ-to-string x)))) (defun @! (x) "undo the above" (let ((*package* (find-package :cl-user))) (read-from-string (princ-to-string x)))) (defun prove-from-axioms (all-axioms f &key (time-limit 5) (verbose nil) sortal-setup-fn) (let ((axioms (remove-duplicates all-axioms :test #'equalp))) (setup-snark :time-limit time-limit :verbose verbose) (if sortal-setup-fn (funcall sortal-setup-fn)) (let* ((n-a (make-hash-table :test #'equalp)) (a-n (make-hash-table :test #'equalp)) ) (mapcar (lambda (axiom) (let ((name (gensym))) (setf (gethash (princ-to-string axiom) a-n) name) (setf (gethash (princ-to-string name) n-a) axiom))) axioms) (mapcar (lambda (axiom) (snark::assert axiom)) (mapcar #'!@ axioms)) (if (equalp :PROOF-FOUND (snark:prove (!@ f))) (list t (remove nil (mapcar (lambda (row reason) (if (equalp reason 'snark::ASSERTION) (gethash (princ-to-string (snark:row-name row)) n-a ))) (snark:row-ancestry (snark:proof)) (mapcar 'snark:row-reason (snark:row-ancestry (snark:proof)))))) (list nil nil))))) (defun prove-from-axioms-yes-no (all-axioms f &key (time-limit 5) (verbose nil) sortal-setup-fn) (let ((axioms (remove-duplicates all-axioms :test #'equalp))) (setup-snark :time-limit time-limit :verbose verbose) (if sortal-setup-fn (funcall sortal-setup-fn)) (let* ((n-a (make-hash-table :test #'equalp)) (a-n (make-hash-table :test #'equalp))) (mapcar (lambda (axiom) (let ((name (gensym))) (setf (gethash (princ-to-string axiom) a-n) name) (setf (gethash (princ-to-string name) n-a) axiom))) axioms) (mapcar (lambda (axiom) (snark::assert axiom)) (mapcar #'!@ axioms)) (if (equalp :PROOF-FOUND (snark:prove (!@ f))) "YES" "NO")))) (defun prove-from-axioms-and-get-answer (all-axioms f var &key (time-limit 5) (verbose nil) sortal-setup-fn) (let ((axioms (remove-duplicates all-axioms :test #'equalp))) (setup-snark :time-limit time-limit :verbose verbose) (if sortal-setup-fn (funcall sortal-setup-fn)) (let* ((n-a (make-hash-table :test #'equalp)) (a-n (make-hash-table :test #'equalp))) (mapcar (lambda (axiom) (let ((name (gensym))) (setf (gethash (princ-to-string axiom) a-n) name) (setf (gethash (princ-to-string name) n-a) axiom))) axioms) (mapcar (lambda (axiom) (snark::assert axiom)) (mapcar #'!@ axioms)) (let ((proof (snark:prove (!@ f) :answer (!@ (list 'ans var)) ))) (if (equalp :PROOF-FOUND proof) (string-downcase (princ-to-string (@! (second (snark:answer proof) )))) ""))))) (defun get-answer-string (proof) (string-downcase (princ-to-string (@! (rest (snark:answer proof)))))) (defun prove-from-axioms-and-get-answers (all-axioms f vars &key (time-limit 5) (verbose nil) sortal-setup-fn) (let ((axioms (remove-duplicates all-axioms :test #'equalp))) (setup-snark :time-limit time-limit :verbose verbose) (if sortal-setup-fn (funcall sortal-setup-fn)) (let* ((n-a (make-hash-table :test #'equalp)) (a-n (make-hash-table :test #'equalp))) (mapcar (lambda (axiom) (let ((name (gensym))) (setf (gethash (princ-to-string axiom) a-n) name) (setf (gethash (princ-to-string name) n-a) axiom))) axioms) (mapcar (lambda (axiom) (snark::assert axiom)) (mapcar #'!@ axioms)) (let ((proof (snark:prove (!@ f) :answer (!@ (cons 'ans vars)) ))) (if (equalp :PROOF-FOUND proof) (get-answer-string proof) ""))))) (defun prove-from-axioms-and-get-multiple-answers (all-axioms f vars &key (time-limit 5) (verbose nil) sortal-setup-fn) (let ((axioms (remove-duplicates all-axioms :test #'equalp))) (setup-snark :time-limit time-limit :verbose verbose) (if sortal-setup-fn (funcall sortal-setup-fn)) (let* ((n-a (make-hash-table :test #'equalp)) (a-n (make-hash-table :test #'equalp))) (mapcar (lambda (axiom) (let ((name (gensym))) (setf (gethash (princ-to-string axiom) a-n) name) (setf (gethash (princ-to-string name) n-a) axiom))) axioms) (mapcar (lambda (axiom) (snark::assert axiom)) (mapcar #'!@ axioms)) (let ((proof (snark:prove (!@ f) :answer (!@ (cons 'ans vars)) ))) (if (equalp :PROOF-FOUND proof) (princ-to-string (cons (get-answer-string proof) (call))) ""))))) (defun call () (let ((proof (snark:closure))) (if (equalp :PROOF-FOUND proof) (cons (get-answer-string proof) (call)) ()))) (defun proved? (ans) (first ans)) (defun used-premises (ans) (second ans)) (defun consistent? (statements time) (not (prove-from-axioms statements '(and P (not P)) :time-limit time)))