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    • Fraig

    Ipasir-maybe-recycle

    Signature
    (ipasir-maybe-recycle config sat-lits ipasir fraig-stats) 
      → 
    (mv new-sat-lits new-ipasir new-fraig-stats)
    Arguments
    config — Guard (fraig-config-p config).

    Definitions and Theorems

    Function: ipasir-maybe-recycle

    (defun ipasir-maybe-recycle (config sat-lits ipasir fraig-stats)
     (declare (xargs :stobjs (sat-lits ipasir fraig-stats)))
     (declare (xargs :guard (fraig-config-p config)))
     (declare
      (xargs
       :guard (non-exec (and (not (eq (ipasir$a->status ipasir) :undef))
                             (not (ipasir$a->new-clause ipasir))
                             (not (ipasir$a->assumption ipasir))))))
     (let ((__function__ 'ipasir-maybe-recycle))
       (declare (ignorable __function__))
       (b*
        (((fraig-config config))
         ((unless (and config.ipasir-recycle-count
                       (<= config.ipasir-recycle-count
                           (ipasir-callback-count ipasir))))
          (b* ((ipasir (ipasir-cancel-new-clause ipasir))
               (ipasir (ipasir-cancel-assumption ipasir))
               (ipasir (ipasir-input ipasir)))
            (mv sat-lits ipasir fraig-stats)))
         (fraig-stats (update-fraig-ipasir-recycles
                           (+ 1 (fraig-ipasir-recycles fraig-stats))
                           fraig-stats))
         (fraig-stats (update-fraig-ipasir-prev-callbacks
                           (+ (ipasir-callback-count ipasir)
                              (fraig-ipasir-prev-callbacks fraig-stats))
                           fraig-stats))
         (ipasir (ipasir-release ipasir))
         (ipasir (ipasir-reinit ipasir))
         (ipasir (ipasir-set-limit ipasir config.ipasir-limit))
         (sat-lits (sat-lits-empty (aignet->sat-length sat-lits)
                                   sat-lits)))
        (mv sat-lits ipasir fraig-stats))))

    Theorem: sat-lits-wfp-of-ipasir-maybe-recycle

    (defthm sat-lits-wfp-of-ipasir-maybe-recycle
      (b* (((mv ?new-sat-lits
                ?new-ipasir ?new-fraig-stats)
            (ipasir-maybe-recycle config sat-lits ipasir fraig-stats)))
        (implies (sat-lits-wfp sat-lits aignet)
                 (sat-lits-wfp new-sat-lits aignet))))

    Theorem: ipasir-new-clause-of-ipasir-maybe-recycle

    (defthm ipasir-new-clause-of-ipasir-maybe-recycle
      (b* (((mv ?new-sat-lits
                ?new-ipasir ?new-fraig-stats)
            (ipasir-maybe-recycle config sat-lits ipasir fraig-stats)))
        (equal (ipasir$a->new-clause new-ipasir)
               nil)))

    Theorem: ipasir-assumption-of-ipasir-maybe-recycle

    (defthm ipasir-assumption-of-ipasir-maybe-recycle
      (b* (((mv ?new-sat-lits
                ?new-ipasir ?new-fraig-stats)
            (ipasir-maybe-recycle config sat-lits ipasir fraig-stats)))
        (equal (ipasir$a->assumption new-ipasir)
               nil)))

    Theorem: ipasir-status-of-ipasir-maybe-recycle

    (defthm ipasir-status-of-ipasir-maybe-recycle
      (b* (((mv ?new-sat-lits
                ?new-ipasir ?new-fraig-stats)
            (ipasir-maybe-recycle config sat-lits ipasir fraig-stats)))
        (equal (ipasir$a->status new-ipasir)
               :input)))

    Theorem: ipasir-formula-wfp-of-ipasir-maybe-recycle

    (defthm ipasir-formula-wfp-of-ipasir-maybe-recycle
      (b* (((mv ?new-sat-lits
                ?new-ipasir ?new-fraig-stats)
            (ipasir-maybe-recycle config sat-lits ipasir fraig-stats)))
        (implies (sat-lit-list-listp (ipasir$a->formula ipasir)
                                     sat-lits)
                 (sat-lit-list-listp (ipasir$a->formula new-ipasir)
                                     new-sat-lits))))

    Theorem: cnf-for-aignet-of-ipasir-maybe-recycle

    (defthm cnf-for-aignet-of-ipasir-maybe-recycle
      (b* (((mv ?new-sat-lits
                ?new-ipasir ?new-fraig-stats)
            (ipasir-maybe-recycle config sat-lits ipasir fraig-stats)))
        (implies (cnf-for-aignet aignet (ipasir$a->formula ipasir)
                                 sat-lits)
                 (cnf-for-aignet aignet (ipasir$a->formula new-ipasir)
                                 new-sat-lits))))

    Theorem: ipasir-maybe-recycle-of-fraig-config-fix-config

    (defthm ipasir-maybe-recycle-of-fraig-config-fix-config
      (equal (ipasir-maybe-recycle (fraig-config-fix config)
                                   sat-lits ipasir fraig-stats)
             (ipasir-maybe-recycle config sat-lits ipasir fraig-stats)))

    Theorem: ipasir-maybe-recycle-fraig-config-equiv-congruence-on-config

    (defthm ipasir-maybe-recycle-fraig-config-equiv-congruence-on-config
     (implies
        (fraig-config-equiv config config-equiv)
        (equal (ipasir-maybe-recycle config sat-lits ipasir fraig-stats)
               (ipasir-maybe-recycle config-equiv
                                     sat-lits ipasir fraig-stats)))
     :rule-classes :congruence)