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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 "waterfall-steps")
(%interactive)
(%autoadmit rw.stop-waterstep-compiler)
(encapsulate
()
(local (%enable default
rw.stop-waterstep-compiler
rw.stop-waterstep-okp))
(local (%restrict default definition-of-rw.waterfall-subgoals (equal x 'x)))
(%autoprove logic.appealp-of-rw.stop-waterstep-compiler)
(%autoprove logic.conclusion-of-rw.stop-waterstep-compiler)
(%autoprove logic.proofp-of-rw.stop-waterstep-compiler))
(%autoadmit rw.urewrite-waterstep-compiler)
(encapsulate
()
(local (%enable default
rw.urewrite-waterstep-compiler
rw.urewrite-waterstep-okp))
(local (%restrict default definition-of-rw.waterfall-subgoals (equal x 'x)))
(local (%disable default
formula-decomposition
expensive-term/formula-inference
type-set-like-rules
unusual-memberp-rules
unusual-subsetp-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two
MEMBERP-WHEN-MEMBERP-OF-CDR
MEMBERP-WHEN-NOT-CONSP
same-length-prefixes-equal-cheap
CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP
CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP
))
(%autoprove logic.appealp-of-rw.urewrite-waterstep-compiler)
(%autoprove logic.conclusion-of-rw.urewrite-waterstep-compiler)
(%autoprove logic.proofp-of-rw.urewrite-waterstep-compiler))
(%autoadmit rw.crewrite-waterstep-compiler)
(encapsulate
()
(local (%enable default
rw.crewrite-waterstep-compiler
rw.crewrite-waterstep-okp))
(local (%restrict default definition-of-rw.waterfall-subgoals (equal x 'x)))
(local (%disable default
formula-decomposition
expensive-term/formula-inference
type-set-like-rules
unusual-memberp-rules
unusual-subsetp-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two
MEMBERP-WHEN-MEMBERP-OF-CDR
MEMBERP-WHEN-NOT-CONSP
same-length-prefixes-equal-cheap
CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP
CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP
))
(%autoprove logic.appealp-of-rw.crewrite-waterstep-compiler)
(%autoprove logic.conclusion-of-rw.crewrite-waterstep-compiler)
(%autoprove logic.proofp-of-rw.crewrite-waterstep-compiler))
(%autoadmit rw.split-waterstep-compiler)
(encapsulate
()
(local (%enable default
rw.split-waterstep-okp
rw.split-waterstep-compiler))
(local (%restrict default definition-of-rw.waterfall-subgoals (equal x 'x)))
(%autoprove logic.appealp-of-rw.split-waterstep-compiler)
(%autoprove logic.conclusion-of-rw.split-waterstep-compiler)
(%autoprove logic.proofp-of-rw.split-waterstep-compiler))
(%autoadmit rw.flag-waterstep-compiler)
(%autoadmit rw.waterstep-compiler)
(%autoadmit rw.waterstep-list-compiler)
(%autoprove definition-of-rw.waterstep-compiler
(%restrict default rw.flag-waterstep-compiler (equal x 'x))
(%enable default rw.waterstep-list-compiler rw.waterstep-compiler))
(%autoprove definition-of-rw.waterstep-list-compiler
(%restrict default rw.flag-waterstep-compiler (equal x 'x))
(%enable default rw.waterstep-list-compiler rw.waterstep-compiler))
(%autoprove rw.flag-waterstep-compiler-of-clause
(%enable default rw.waterstep-compiler))
(%autoprove rw.flag-waterstep-compiler-of-list
(%enable default rw.waterstep-list-compiler))
(%autoprove rw.waterstep-compiler-of-nil
(%restrict default definition-of-rw.waterstep-compiler (equal x ''nil)))
(%autoprove rw.waterstep-list-compiler-when-not-consp
(%restrict default definition-of-rw.waterstep-list-compiler (equal x 'x)))
(%autoprove rw.waterstep-list-compiler-of-cons
(%restrict default definition-of-rw.waterstep-list-compiler (equal x '(cons a x))))
(%defprojection
:list (rw.waterstep-list-compiler x world rproofs)
:element (rw.waterstep-compiler x world rproofs)
:nil-preservingp t)
(%autoprove lemma-for-logic.appealp-of-rw.waterstep-compiler
(%autoinduct rw.waterstep-induction flag x)
(%disable default
formula-decomposition
expensive-term/formula-inference
type-set-like-rules
unusual-memberp-rules
unusual-subsetp-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two
same-length-prefixes-equal-cheap)
(%forcingp nil)
(%waterfall default 40)
(%restrict default definition-of-rw.waterstep-compiler (equal x 'x))
(%restrict default definition-of-rw.waterfall-subgoals (equal x 'x))
(%restrict default definition-of-rw.waterstep-okp (equal x 'x))
(%waterfall default 40)
(%enable default
formula-decomposition
expensive-term/formula-inference
type-set-like-rules
unusual-memberp-rules
unusual-subsetp-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two
same-length-prefixes-equal-cheap)
(%waterfall default 40)
(%auto))
(%autoprove logic.appealp-of-rw.waterstep-compiler
(%use (%instance (%thm lemma-for-logic.appealp-of-rw.waterstep-compiler)
(flag 'clause))))
(%autoprove logic.conclusion-of-rw.waterstep-compiler
(%use (%instance (%thm lemma-for-logic.appealp-of-rw.waterstep-compiler)
(flag 'clause))))
(%autoprove logic.appeal-listp-of-rw.waterstep-list-compiler
(%use (%instance (%thm lemma-for-logic.appealp-of-rw.waterstep-compiler)
(flag 'list))))
(%autoprove logic.strip-conclusions-of-rw.waterstep-list-compiler
(%use (%instance (%thm lemma-for-logic.appealp-of-rw.waterstep-compiler)
(flag 'list))))
(%autoprove lemma-for-logic.proofp-of-rw.waterstep-compiler
(%autoinduct rw.waterstep-induction flag x)
(%disable default
formula-decomposition
expensive-term/formula-inference
type-set-like-rules
unusual-memberp-rules
unusual-subsetp-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two
same-length-prefixes-equal-cheap
MEMBERP-WHEN-MEMBERP-OF-CDR
MEMBERP-WHEN-NOT-CONSP
CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP
CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP
SUBSETP-TRANSITIVE-TWO
SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT
SUBSETP-OF-LOGIC.DISJOIN-EACH-FORMULA-LISTS-WHEN-SUBSETP
SUBSETP-OF-LOGIC.TERM-LIST-LIST-FORMULASS-WHEN-SUBSETP)
(%forcingp nil)
(%liftlimit 2)
(%splitlimit 5)
(%waterfall default 40)
(%restrict default definition-of-rw.waterstep-compiler (equal x 'x))
(%restrict default definition-of-rw.waterfall-subgoals (equal x 'x))
(%restrict default definition-of-rw.waterstep-okp (equal x 'x))
(%waterfall default 40)
(%enable default
formula-decomposition
expensive-term/formula-inference
type-set-like-rules
unusual-memberp-rules
unusual-subsetp-rules
expensive-arithmetic-rules
expensive-arithmetic-rules-two
same-length-prefixes-equal-cheap)
(%waterfall default 40)
(%auto))
(%autoprove logic.proofp-of-rw.waterstep-compiler
(%use (%instance (%thm lemma-for-logic.proofp-of-rw.waterstep-compiler)
(flag 'clause))))
(%autoprove logic.proof-listp-of-rw.waterstep-list-compiler
(%use (%instance (%thm lemma-for-logic.proofp-of-rw.waterstep-compiler)
(flag 'list))))
|
