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        • Ipasir-add-unary
        • Ipasir-add-clauses
        • Ipasir-add-list
        • Ipasir-add-clauses-ordered
        • Ipasir-add-list-ordered
        • Ipasir-add-empty
      • Ipasir-bump-activity-vars$a
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      • Ipasir-add-lit$c
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      • Ipasir-get-status$c
      • Ipasir-get-curr-stats$c
      • Ipasir-get-assumption$c
      • Ipasir-empty-new-clause$c
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• Ipasir-formula

Ipasir-add-list

Add a clause (given as a list of literals) to the formula

Signature

(ipasir-add-list ipasir clause) → new-ipasir

Arguments

clause — Guard (lit-listp clause).

Definitions and Theorems

Function: ipasir-add-list

(defun ipasir-add-list (ipasir clause)
 (declare (xargs :stobjs (ipasir)))
 (declare (xargs :guard (lit-listp clause)))
 (declare
     (xargs :guard (and (not (eq (ipasir-get-status ipasir) :undef))
                        (ipasir-empty-new-clause ipasir))))
 (let ((__function__ 'ipasir-add-list))
   (declare (ignorable __function__))
   (b* ((ipasir (ipasir-cancel-new-clause ipasir)))
     (ipasir-add-list-aux ipasir clause))))

Theorem: ipasir-add-list-status

(defthm ipasir-add-list-status
  (b* ((?new-ipasir (ipasir-add-list ipasir clause)))
    (equal (ipasir$a->status new-ipasir)
           :input)))

Theorem: ipasir-add-list-formula

(defthm ipasir-add-list-formula
  (b* ((?new-ipasir (ipasir-add-list ipasir clause)))
    (equal (ipasir$a->formula new-ipasir)
           (cons (rev (lit-list-fix clause))
                 (ipasir$a->formula ipasir)))))

Theorem: ipasir-add-list-eval-formula

(defthm ipasir-add-list-eval-formula
  (b* ((?new-ipasir (ipasir-add-list ipasir clause)))
    (equal (eval-formula (ipasir$a->formula new-ipasir)
                         env)
           (eval-formula (cons clause (ipasir$a->formula ipasir))
                         env))))

Theorem: ipasir-add-list-new-clause

(defthm ipasir-add-list-new-clause
  (b* ((?new-ipasir (ipasir-add-list ipasir clause)))
    (not (ipasir$a->new-clause new-ipasir))))

Theorem: ipasir-add-list-assumption

(defthm ipasir-add-list-assumption
  (b* ((?new-ipasir (ipasir-add-list ipasir clause)))
    (equal (ipasir$a->assumption new-ipasir)
           (ipasir$a->assumption ipasir))))