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|
; Milawa - A Reflective Theorem Prover
; Copyright (C) 2005-2009 Kookamara LLC
;
; Contact:
;
; Kookamara LLC
; 11410 Windermere Meadows
; Austin, TX 78759, USA
; http://www.kookamara.com/
;
; License: (An MIT/X11-style license)
;
; Permission is hereby granted, free of charge, to any person obtaining a
; copy of this software and associated documentation files (the "Software"),
; to deal in the Software without restriction, including without limitation
; the rights to use, copy, modify, merge, publish, distribute, sublicense,
; and/or sell copies of the Software, and to permit persons to whom the
; Software is furnished to do so, subject to the following conditions:
;
; The above copyright notice and this permission notice shall be included in
; all copies or substantial portions of the Software.
;
; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
; IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
; AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
; FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
; DEALINGS IN THE SOFTWARE.
;
; Original author: Jared Davis <jared@kookamara.com>
(in-package "MILAWA")
(include-book "fertilize")
(set-verify-guards-eagerness 2)
(set-case-split-limitations nil)
(set-well-founded-relation ord<)
(set-measure-function rank)
;; Distribute All
;;
;; In the fertilize tactic, we provide the following capability. Suppose
;; (equal t1 t2) is a hypothesis in the clause. Then, we can replace t1 with
;; t2 or vice versa everywhere throughout the clause. We have no good
;; heuristic for deciding when this is desirable in general, or even which
;; direction the fertilization should go if we decided we wanted to try it.
;; However, consider the special cases:
;;
;; (equal var expr)
;; (equal expr var)
;;
;; Where var does not occur in expr. Then, we think it is desirable to
;; entirely eliminate var from the clause, replacing it with expr instead. We
;; call this distribution. ACL2 does this as part of simplification, but has a
;; much more complicated routine in order to handle equivalence relations.
;; (See the function "remove-trivial-equivalences", etc.)
;;
;; As a special case of fertilization, distribution is easy to justify; we just
;; reuse the argument there. The only twist is deciding how to fertilize.
(defun distribute.type1-literalp (x)
;; We recognize terms of the form (not (equal var expr)) where expr does
;; not contain var.
(declare (xargs :guard (logic.termp x)))
(and (logic.functionp x)
(equal (logic.function-name x) 'not)
(equal (len (logic.function-args x)) 1)
(let ((body (first (logic.function-args x))))
(and (logic.functionp body)
(equal (logic.function-name body) 'equal)
(equal (len (logic.function-args body)) 2)
(let ((var (first (logic.function-args body)))
(expr (second (logic.function-args body))))
(and (logic.variablep var)
(not (memberp var (logic.term-vars expr)))))))))
(defthm booleanp-of-distribute.type1-literalp
(equal (booleanp (distribute.type1-literalp x))
t))
(defun distribute.type1-var (x)
(declare (xargs :guard (and (logic.termp x)
(distribute.type1-literalp x))
:guard-hints (("Goal" :in-theory (enable distribute.type1-literalp)))))
(first (logic.function-args (first (logic.function-args x)))))
(defun distribute.type1-expr (x)
(declare (xargs :guard (and (logic.termp x)
(distribute.type1-literalp x))
:guard-hints (("Goal" :in-theory (enable distribute.type1-literalp)))))
(second (logic.function-args (first (logic.function-args x)))))
(defun distribute.substitute-type1-literal (literal clause)
(declare (xargs :guard (and (logic.termp literal)
(distribute.type1-literalp literal)
(logic.term-listp clause)
(memberp literal clause))))
(let ((var (distribute.type1-var literal))
(expr (distribute.type1-expr literal)))
(logic.replace-subterm-list clause var expr)))
(defthm cons-listp-of-distribute.substitute-type1-literal
(equal (consp (distribute.substitute-type1-literal literal clause))
(consp clause)))
(defthm forcing-logic.term-listp-of-distribute.substitute-type1-literal
(implies (force (and (logic.termp literal)
(distribute.type1-literalp literal)
(logic.term-listp clause)))
(equal (logic.term-listp (distribute.substitute-type1-literal literal clause))
t)))
(defthm forcing-logic.term-list-atblp-of-distribute.substitute-type1-literal
(implies (force (and (logic.termp literal)
(logic.term-atblp literal atbl)
(distribute.type1-literalp literal)
(logic.term-list-atblp clause atbl)))
(equal (logic.term-list-atblp (distribute.substitute-type1-literal literal clause) atbl)
t)))
(defun distribute.substitute-type1-literal-bldr (literal clause proof)
(declare (xargs :guard (and (logic.termp literal)
(distribute.type1-literalp literal)
(logic.term-listp clause)
(memberp literal clause)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.substitute-type1-literal literal clause))))))
(let ((var (distribute.type1-var literal))
(expr (distribute.type1-expr literal)))
(tactic.fertilize-bldr var expr clause proof)))
(defobligations distribute.substitute-type1-literal-bldr
(tactic.fertilize-bldr))
(defthm distribute.substitute-type1-literal-bldr-under-iff
(iff (distribute.substitute-type1-literal-bldr literal clause proof)
t))
(defthm forcing-logic.appealp-of-distribute.substitute-type1-literal-bldr
(implies (force (and (logic.termp literal)
(distribute.type1-literalp literal)
(logic.term-listp clause)
(memberp literal clause)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.substitute-type1-literal literal clause)))))
(equal (logic.appealp (distribute.substitute-type1-literal-bldr literal clause proof))
t)))
(defthm forcing-logic.conclusion-of-distribute.substitute-type1-literal-bldr
(implies (force (and (logic.termp literal)
(distribute.type1-literalp literal)
(logic.term-listp clause)
(memberp literal clause)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.substitute-type1-literal literal clause)))))
(equal (logic.conclusion (distribute.substitute-type1-literal-bldr literal clause proof))
(clause.clause-formula clause)))
:rule-classes ((:rewrite :backchain-limit-lst 0)))
(defthm@ forcing-logic.proofp-of-distribute.substitute-type1-literal-bldr
(implies (force (and (logic.termp literal)
(distribute.type1-literalp literal)
(logic.term-listp clause)
(memberp literal clause)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.substitute-type1-literal literal clause)))
;; ---
(logic.term-list-atblp clause atbl)
(logic.term-atblp literal atbl)
(logic.proofp proof axioms thms atbl)
(equal (cdr (lookup 'equal atbl)) 2)
(equal (cdr (lookup 'not atbl)) 1)
(@obligations distribute.substitute-type1-literal-bldr)))
(equal (logic.proofp (distribute.substitute-type1-literal-bldr literal clause proof) axioms thms atbl)
t)))
(in-theory (disable distribute.type1-literalp
distribute.type1-var
distribute.type1-expr
distribute.substitute-type1-literal
distribute.substitute-type1-literal-bldr))
(defun distribute.type2-literalp (x)
;; We recognize terms of the form (not (equal expr var)) where expr does
;; not contain var.
(declare (xargs :guard (logic.termp x)))
(and (logic.functionp x)
(equal (logic.function-name x) 'not)
(equal (len (logic.function-args x)) 1)
(let ((body (first (logic.function-args x))))
(and (logic.functionp body)
(equal (logic.function-name body) 'equal)
(equal (len (logic.function-args body)) 2)
(let ((expr (first (logic.function-args body)))
(var (second (logic.function-args body))))
(and (logic.variablep var)
(not (memberp var (logic.term-vars expr)))))))))
(defthm booleanp-of-distribute.type2-literalp
(equal (booleanp (distribute.type2-literalp x))
t))
(defun distribute.type2-var (x)
(declare (xargs :guard (and (logic.termp x)
(distribute.type2-literalp x))
:guard-hints (("Goal" :in-theory (enable distribute.type2-literalp)))))
(second (logic.function-args (first (logic.function-args x)))))
(defun distribute.type2-expr (x)
(declare (xargs :guard (and (logic.termp x)
(distribute.type2-literalp x))
:guard-hints (("Goal" :in-theory (enable distribute.type2-literalp)))))
(first (logic.function-args (first (logic.function-args x)))))
(defun distribute.substitute-type2-literal (literal clause)
(declare (xargs :guard (and (logic.termp literal)
(distribute.type2-literalp literal)
(logic.term-listp clause)
(memberp literal clause))))
(let ((var (distribute.type2-var literal))
(expr (distribute.type2-expr literal)))
(logic.replace-subterm-list clause var expr)))
(defthm cons-listp-of-distribute.substitute-type2-literal
(equal (consp (distribute.substitute-type2-literal literal clause))
(consp clause)))
(defthm forcing-logic.term-listp-of-distribute.substitute-type2-literal
(implies (force (and (logic.termp literal)
(distribute.type2-literalp literal)
(logic.term-listp clause)))
(equal (logic.term-listp (distribute.substitute-type2-literal literal clause))
t)))
(defthm forcing-logic.term-list-atblp-of-distribute.substitute-type2-literal
(implies (force (and (logic.termp literal)
(logic.term-atblp literal atbl)
(distribute.type2-literalp literal)
(logic.term-list-atblp clause atbl)))
(equal (logic.term-list-atblp (distribute.substitute-type2-literal literal clause) atbl)
t)))
(defun distribute.substitute-type2-literal-bldr (literal clause proof)
(declare (xargs :guard (and (logic.termp literal)
(distribute.type2-literalp literal)
(logic.term-listp clause)
(memberp literal clause)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.substitute-type2-literal literal clause))))))
(let ((var (distribute.type2-var literal))
(expr (distribute.type2-expr literal)))
(tactic.fertilize-bldr var expr clause proof)))
(defobligations distribute.substitute-type2-literal-bldr
(tactic.fertilize-bldr))
(defthm distribute.substitute-type2-literal-bldr-under-iff
(iff (distribute.substitute-type2-literal-bldr literal clause proof)
t))
(defthm forcing-logic.appealp-of-distribute.substitute-type2-literal-bldr
(implies (force (and (logic.termp literal)
(distribute.type2-literalp literal)
(logic.term-listp clause)
(memberp literal clause)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.substitute-type2-literal literal clause)))))
(equal (logic.appealp (distribute.substitute-type2-literal-bldr literal clause proof))
t)))
(defthm forcing-logic.conclusion-of-distribute.substitute-type2-literal-bldr
(implies (force (and (logic.termp literal)
(distribute.type2-literalp literal)
(logic.term-listp clause)
(memberp literal clause)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.substitute-type2-literal literal clause)))))
(equal (logic.conclusion (distribute.substitute-type2-literal-bldr literal clause proof))
(clause.clause-formula clause)))
:rule-classes ((:rewrite :backchain-limit-lst 0)))
(defthm@ forcing-logic.proofp-of-distribute.substitute-type2-literal-bldr
(implies (force (and (logic.termp literal)
(distribute.type2-literalp literal)
(logic.term-listp clause)
(memberp literal clause)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.substitute-type2-literal literal clause)))
;; ---
(logic.term-list-atblp clause atbl)
(logic.term-atblp literal atbl)
(logic.proofp proof axioms thms atbl)
(equal (cdr (lookup 'equal atbl)) 2)
(equal (cdr (lookup 'not atbl)) 1)
(@obligations distribute.substitute-type2-literal-bldr)))
(equal (logic.proofp (distribute.substitute-type2-literal-bldr literal clause proof) axioms thms atbl)
t)))
(in-theory (disable distribute.type2-literalp
distribute.type2-var
distribute.type2-expr
distribute.substitute-type2-literal
distribute.substitute-type2-literal-bldr))
(defund distribute.find-type1-literal (x)
(declare (xargs :guard (logic.term-listp x)))
(if (consp x)
(if (distribute.type1-literalp (car x))
(car x)
(distribute.find-type1-literal (cdr x)))
nil))
(defthm distribute.type1-literalp-of-distribute.find-type1-literal
(equal (distribute.type1-literalp (distribute.find-type1-literal x))
(if (distribute.find-type1-literal x)
t
nil))
:hints(("Goal" :in-theory (enable distribute.find-type1-literal))))
(defthm forcing-logic.termp-of-distribute.find-type1-literal
(implies (and (distribute.find-type1-literal x)
(force (logic.term-listp x)))
(equal (logic.termp (distribute.find-type1-literal x))
t))
:hints(("Goal" :in-theory (enable distribute.find-type1-literal))))
(defthm memberp-of-distribute.find-type1-literal
(implies (distribute.find-type1-literal x)
(equal (memberp (distribute.find-type1-literal x) x)
t))
:hints(("Goal" :in-theory (enable distribute.find-type1-literal))))
(defund distribute.find-type2-literal (x)
(declare (xargs :guard (logic.term-listp x)))
(if (consp x)
(if (distribute.type2-literalp (car x))
(car x)
(distribute.find-type2-literal (cdr x)))
nil))
(defthm distribute.type2-literalp-of-distribute.find-type2-literal
(equal (distribute.type2-literalp (distribute.find-type2-literal x))
(if (distribute.find-type2-literal x)
t
nil))
:hints(("Goal" :in-theory (enable distribute.find-type2-literal))))
(defthm forcing-logic.termp-of-distribute.find-type2-literal
(implies (and (distribute.find-type2-literal x)
(force (logic.term-listp x)))
(equal (logic.termp (distribute.find-type2-literal x))
t))
:hints(("Goal" :in-theory (enable distribute.find-type2-literal))))
(defthm memberp-of-distribute.find-type2-literal
(implies (distribute.find-type2-literal x)
(equal (memberp (distribute.find-type2-literal x) x)
t))
:hints(("Goal" :in-theory (enable distribute.find-type2-literal))))
(defund distribute.try-distributing-clause (x)
(declare (xargs :guard (logic.term-listp x)))
(let ((lit1 (distribute.find-type1-literal x)))
(if lit1
(distribute.substitute-type1-literal lit1 x)
(let ((lit2 (distribute.find-type2-literal x)))
(if lit2
(distribute.substitute-type2-literal lit2 x)
x)))))
(defthm consp-of-distribute.try-distributing-clause
(equal (consp (distribute.try-distributing-clause x))
(consp x))
:hints(("Goal" :in-theory (enable distribute.try-distributing-clause))))
(defthm forcing-logic.term-listp-of-distribute.try-distributing-clause
(implies (force (logic.term-listp x))
(equal (logic.term-listp (distribute.try-distributing-clause x))
t))
:hints(("Goal" :in-theory (enable distribute.try-distributing-clause))))
(defthm forcing-logic.term-list-atblp-of-distribute.try-distributing-clause
(implies (force (and (logic.term-listp x)
(logic.term-list-atblp x atbl)))
(equal (logic.term-list-atblp (distribute.try-distributing-clause x) atbl)
t))
:hints(("Goal" :in-theory (enable distribute.try-distributing-clause))))
(defund distribute.try-distributing-clause-bldr (x proof)
(declare (xargs :guard (and (logic.term-listp x)
(consp x)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.try-distributing-clause x))))
:verify-guards nil))
(let ((lit1 (distribute.find-type1-literal x)))
(if lit1
(distribute.substitute-type1-literal-bldr lit1 x proof)
(let ((lit2 (distribute.find-type2-literal x)))
(if lit2
(distribute.substitute-type2-literal-bldr lit2 x proof)
(logic.appeal-identity proof))))))
(defobligations distribute.try-distributing-clause-bldr
(distribute.substitute-type1-literal-bldr
distribute.substitute-type2-literal-bldr))
(encapsulate
()
(local (in-theory (enable distribute.try-distributing-clause
distribute.try-distributing-clause-bldr)))
(verify-guards distribute.try-distributing-clause-bldr)
(defthm distribute.try-distributing-clause-bldr-under-iff
(iff (distribute.try-distributing-clause-bldr x proof)
t))
(defthm forcing-logic.appealp-of-distribute.try-distributing-clause-bldr
(implies (force (and (logic.term-listp x)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.try-distributing-clause x)))))
(equal (logic.appealp (distribute.try-distributing-clause-bldr x proof))
t)))
(defthm forcing-logic.conclusion-of-distribute.try-distributing-clause-bldr
(implies (force (and (logic.term-listp x)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.try-distributing-clause x)))))
(equal (logic.conclusion (distribute.try-distributing-clause-bldr x proof))
(clause.clause-formula x)))
:rule-classes ((:rewrite :backchain-limit-lst 0)))
(defthm@ forcing-logic.proofp-of-distribute.try-distributing-clause-bldr
(implies (force (and (logic.term-listp x)
(logic.appealp proof)
(equal (logic.conclusion proof)
(clause.clause-formula (distribute.try-distributing-clause x)))
;; ---
(logic.term-list-atblp x atbl)
(logic.proofp proof axioms thms atbl)
(equal (cdr (lookup 'equal atbl)) 2)
(equal (cdr (lookup 'not atbl)) 1)
(@obligations distribute.try-distributing-clause-bldr)))
(equal (logic.proofp (distribute.try-distributing-clause-bldr x proof) axioms thms atbl)
t))))
(defprojection :list (distribute.try-distributing-clause-list x)
:element (distribute.try-distributing-clause x)
:guard (logic.term-list-listp x))
(defthm cons-listp-of-distribute.try-distributing-clause-list
(equal (cons-listp (distribute.try-distributing-clause-list x))
(cons-listp x))
:hints(("Goal" :induct (cdr-induction x))))
(defthm forcing-logic.term-list-listp-of-distribute.try-distributing-clause-list
(implies (force (logic.term-list-listp x))
(equal (logic.term-list-listp (distribute.try-distributing-clause-list x))
t))
:hints(("Goal" :induct (cdr-induction x))))
(defthm forcing-logic.term-list-list-atblp-of-distribute.try-distributing-clause-list
(implies (force (and (logic.term-list-listp x)
(logic.term-list-list-atblp x atbl)))
(equal (logic.term-list-list-atblp (distribute.try-distributing-clause-list x) atbl)
t))
:hints(("Goal" :induct (cdr-induction x))))
(defund distribute.try-distributing-clause-list-bldr (x proofs)
(declare (xargs :guard (and (logic.term-list-listp x)
(cons-listp x)
(logic.appeal-listp proofs)
(equal (logic.strip-conclusions proofs)
(clause.clause-list-formulas (distribute.try-distributing-clause-list x))))))
(if (consp x)
(cons (distribute.try-distributing-clause-bldr (car x) (car proofs))
(distribute.try-distributing-clause-list-bldr (cdr x) (cdr proofs)))
nil))
(defobligations distribute.try-distributing-clause-list-bldr
(distribute.try-distributing-clause-bldr))
(defthm forcing-logic.appeal-listp-of-distribute.try-distributing-clause-list-bldr
(implies (force (and (logic.term-list-listp x)
(cons-listp x)
(logic.appeal-listp proofs)
(equal (logic.strip-conclusions proofs)
(clause.clause-list-formulas (distribute.try-distributing-clause-list x)))))
(equal (logic.appeal-listp (distribute.try-distributing-clause-list-bldr x proofs))
t))
:hints(("Goal" :in-theory (enable distribute.try-distributing-clause-list-bldr))))
(defthm forcing-logic.strip-conclusions-of-distribute.try-distributing-clause-list-bldr
(implies (force (and (logic.term-list-listp x)
(cons-listp x)
(logic.appeal-listp proofs)
(equal (logic.strip-conclusions proofs)
(clause.clause-list-formulas (distribute.try-distributing-clause-list x)))))
(equal (logic.strip-conclusions (distribute.try-distributing-clause-list-bldr x proofs))
(clause.clause-list-formulas x)))
:hints(("Goal" :in-theory (enable distribute.try-distributing-clause-list-bldr))))
(defthm@ forcing-logic.proof-listp-of-distribute.try-distributing-clause-list-bldr
(implies (force (and (logic.term-list-listp x)
(cons-listp x)
(logic.appeal-listp proofs)
(equal (logic.strip-conclusions proofs)
(clause.clause-list-formulas (distribute.try-distributing-clause-list x)))
;; ---
(@obligations distribute.try-distributing-clause-list-bldr)
(equal (cdr (lookup 'not atbl)) 1)
(equal (cdr (lookup 'equal atbl)) 2)
(logic.term-list-list-atblp x atbl)
(logic.proof-listp proofs axioms thms atbl)
))
(equal (logic.proof-listp (distribute.try-distributing-clause-list-bldr x proofs) axioms thms atbl)
t))
:hints(("Goal" :in-theory (enable distribute.try-distributing-clause-list-bldr))))
(defund tactic.distribute-all-okp (x)
(declare (xargs :guard (tactic.skeletonp x)))
(let ((goals (tactic.skeleton->goals x))
(tacname (tactic.skeleton->tacname x))
(extras (tactic.skeleton->extras x))
(history (tactic.skeleton->history x)))
(and (equal tacname 'distribute-all)
(not extras)
(let ((prev-goals (tactic.skeleton->goals history)))
(equal goals
(distribute.try-distributing-clause-list prev-goals))))))
(defthm booleanp-of-tactic.distribute-all-okp
(equal (booleanp (tactic.distribute-all-okp x))
t)
:hints(("Goal" :in-theory (e/d (tactic.distribute-all-okp)
((:executable-counterpart acl2::force))))))
(defund tactic.distribute-all-tac (x warnp)
(declare (xargs :guard (and (tactic.skeletonp x)
(booleanp warnp))))
(let ((goals (tactic.skeleton->goals x)))
(if (not (consp goals))
(ACL2::cw "~s0distribute-all-tac failure~s1: all clauses have already been proven.~%" *red* *black*)
(let ((new-goals (distribute.try-distributing-clause-list goals)))
(if (equal goals new-goals)
(and warnp
(ACL2::cw "~s0distribute-all-tac failure~s1: there are no trivial equalities to distribute.~%" *red* *black*))
(tactic.extend-skeleton new-goals
'distribute-all
nil
x))))))
(defthm forcing-tactic.skeletonp-of-tactic.distribute-all-tac
(implies (and (tactic.distribute-all-tac x warnp)
(force (tactic.skeletonp x)))
(equal (tactic.skeletonp (tactic.distribute-all-tac x warnp))
t))
:hints(("Goal" :in-theory (enable tactic.distribute-all-tac))))
(defthm forcing-tactic.distribute-all-okp-of-tactic.distribute-all-tac
(implies (and (tactic.distribute-all-tac x warnp)
(force (tactic.skeletonp x)))
(equal (tactic.distribute-all-okp (tactic.distribute-all-tac x warnp))
t))
:hints(("Goal" :in-theory (enable tactic.distribute-all-tac
tactic.distribute-all-okp))))
(defund tactic.distribute-all-compile (x proofs)
(declare (xargs :guard (and (tactic.skeletonp x)
(tactic.distribute-all-okp x)
(logic.appeal-listp proofs)
(equal (clause.clause-list-formulas (tactic.skeleton->goals x))
(logic.strip-conclusions proofs)))
:verify-guards nil))
(let* ((history (tactic.skeleton->history x))
(orig-goals (tactic.skeleton->goals history)))
(distribute.try-distributing-clause-list-bldr orig-goals proofs)))
(defobligations tactic.distribute-all-compile
(distribute.try-distributing-clause-list-bldr))
(encapsulate
()
(local (in-theory (enable tactic.distribute-all-okp
tactic.distribute-all-compile)))
(verify-guards tactic.distribute-all-compile)
(defthm forcing-logic.appeal-listp-of-tactic.distribute-all-compile
(implies (force (and (tactic.skeletonp x)
(tactic.distribute-all-okp x)
(logic.appeal-listp proofs)
(equal (clause.clause-list-formulas (tactic.skeleton->goals x))
(logic.strip-conclusions proofs))))
(equal (logic.appeal-listp (tactic.distribute-all-compile x proofs))
t)))
(defthm forcing-logic.strip-conclusions-of-tactic.distribute-all-compile
(implies (force (and (tactic.skeletonp x)
(tactic.distribute-all-okp x)
(logic.appeal-listp proofs)
(equal (clause.clause-list-formulas (tactic.skeleton->goals x))
(logic.strip-conclusions proofs))))
(equal (logic.strip-conclusions (tactic.distribute-all-compile x proofs))
(clause.clause-list-formulas (tactic.skeleton->goals (tactic.skeleton->history x))))))
(defthm@ forcing-logic.proof-listp-of-tactic.distribute-all-compile
(implies (force (and (tactic.skeletonp x)
(tactic.distribute-all-okp x)
(logic.appeal-listp proofs)
(equal (clause.clause-list-formulas (tactic.skeleton->goals x))
(logic.strip-conclusions proofs))
;; ---
(tactic.skeleton-atblp x atbl)
(logic.proof-listp proofs axioms thms atbl)
(equal (cdr (lookup 'equal atbl)) 2)
(equal (cdr (lookup 'not atbl)) 1)
(@obligations tactic.distribute-all-compile)))
(equal (logic.proof-listp (tactic.distribute-all-compile x proofs) axioms thms atbl)
t))))
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