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• Ipasir-formula

Ipasir-add-clauses-ordered

Add a list of clauses to the formula

Signature

(ipasir-add-clauses-ordered ipasir clauses) → new-ipasir

Arguments

clauses — Guard (lit-list-listp clauses).

Definitions and Theorems

Function: ipasir-add-clauses-ordered

(defun
 ipasir-add-clauses-ordered
 (ipasir clauses)
 (declare (xargs :stobjs (ipasir)))
 (declare (xargs :guard (lit-list-listp clauses)))
 (declare
     (xargs :guard (and (not (eq (ipasir-get-status ipasir) :undef))
                        (ipasir-empty-new-clause ipasir))))
 (let
  ((__function__ 'ipasir-add-clauses-ordered))
  (declare (ignorable __function__))
  (if
    (atom clauses)
    (b* ((ipasir (ipasir-cancel-new-clause ipasir)))
        (ipasir-input ipasir))
    (b* ((ipasir (ipasir-add-clauses-ordered ipasir (cdr clauses))))
        (ipasir-add-list-ordered ipasir (car clauses))))))

Theorem: ipasir-add-clauses-ordered-status

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

Theorem: ipasir-add-clauses-ordered-formula

(defthm
     ipasir-add-clauses-ordered-formula
     (b* ((?new-ipasir (ipasir-add-clauses-ordered ipasir clauses)))
         (equal (ipasir$a->formula new-ipasir)
                (append (lit-list-list-fix clauses)
                        (ipasir$a->formula ipasir)))))

Theorem: ipasir-add-clauses-ordered-new-clause

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

Theorem: ipasir-add-clauses-ordered-assumption

(defthm
     ipasir-add-clauses-ordered-assumption
     (b* ((?new-ipasir (ipasir-add-clauses-ordered ipasir clauses)))
         (equal (ipasir$a->assumption new-ipasir)
                (ipasir$a->assumption ipasir))))