;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;           __    __        __    __                                        ;;
;;          /  \  /  \      (__)  |  |    ____   ___      __    ____         ;;
;;         /    \/    \      __   |  |   / _  |  \  \ __ /  /  / _  |        ;;
;;        /  /\    /\  \    |  |  |  |  / / | |   \  '  '  /  / / | |        ;;
;;       /  /  \__/  \  \   |  |  |  |  \ \_| |    \  /\  /   \ \_| |        ;;
;;      /__/          \__\  |__|  |__|   \____|     \/  \/     \____|        ;;
;; ~ ~~ \  ~ ~  ~_~~ ~/~ /~ | ~|~ | ~| ~ /~_ ~|~ ~  ~\  ~\~ ~  ~ ~  |~~    ~ ;;
;;  ~ ~  \~ \~ / ~\~ / ~/ ~ |~ | ~|  ~ ~/~/ | |~ ~~/ ~\/ ~~ ~ / / | |~   ~   ;;
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;; ~  ~~ ~  \~_/  ~_~/ ~ ~ ~(__~ ~|~_| ~  ~  ~~  ~  ~ ~~    ~  ~   ~~  ~  ~  ;;
;;                                                                           ;;
;;            A   R e f l e c t i v e   P r o o f   C h e c k e r            ;;
;;                                                                           ;;
;;       Copyright (C) 2005-2009 by Jared Davis <jared@cs.utexas.edu>        ;;
;;                                                                           ;;
;; This program is free software; you can redistribute it and/or modify it   ;;
;; under the terms of the GNU General Public License as published by the     ;;
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;; This program is distributed in the hope that it will be useful, but       ;;
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;; ITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public      ;;
;; License for more details.                                                 ;;
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;; You should have received a copy of the GNU General Public License along   ;;
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;; 02110-1301, USA.                                                          ;;
;;                                                                           ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

(in-package "MILAWA")
(include-book "factor-bldr")
(%interactive)

(%autoadmit logic.disjoin-formulas-of-smart-negate-formulas-of-assignment-formulas)

(%autoprove logic.disjoin-formulas-of-smart-negate-formulas-of-assignment-formulas-removal
            (%cdr-induction x)
            (%restrict default logic.disjoin-formulas-of-smart-negate-formulas-of-assignment-formulas (equal x 'x))
            (%forcingp nil))



(%autoadmit clause.factor-bldr-okp)

(%autoadmit clause.factor-bldr-high)

(local (%enable default clause.factor-bldr-okp))

(%autoprove booleanp-of-clause.factor-bldr-okp)

(%autoprove clause.factor-bldr-okp-of-logic.appeal-identity)

(%autoprove lemma-1-for-soundness-of-clause.factor-bldr-okp)

(%autoprove lemma-2-for-soundness-of-clause.factor-bldr-okp)

(%autoprove forcing-soundness-of-clause.factor-bldr-okp
            (%enable default
                     lemma-1-for-soundness-of-clause.factor-bldr-okp
                     lemma-2-for-soundness-of-clause.factor-bldr-okp)
            (%use (%instance (%thm forcing-logic.provablep-when-logic.proofp)
                             (x (clause.factor-bldr (first (logic.extras x))
                                                    (second (logic.extras x)))))))

(%ensure-exactly-these-rules-are-missing "../../clauses/if-lifting/factor-bldr")