From 4f1f9c0b8328f8915f20b9d46587f643d3a77faa Mon Sep 17 00:00:00 2001 From: Brandon Rozek Date: Thu, 30 Mar 2023 15:33:03 -0400 Subject: [PATCH] Moved snark to submodule --- .gitmodules | 3 + Dockerfile | 4 +- snark | 1 + snark-20120808r02/INSTALL | 53 - snark-20120808r02/LICENSE | 453 --- snark-20120808r02/README | 36 - snark-20120808r02/commons.lisp | 0 snark-20120808r02/compile | 4 - .../examples/BOO002-1+rm_eq_rstfp.kif | 47 - .../examples/COL003-1+rm_eq_rstfp.kif | 53 - .../examples/COL049-1+rm_eq_rstfp.kif | 52 - .../examples/GRP001-1+rm_eq_rstfp.kif | 78 - .../examples/GRP002-1+rm_eq_rstfp.kif | 98 - .../examples/GRP002-3+rm_eq_rstfp.kif | 53 - .../examples/GRP014-1+rm_eq_rstfp.kif | 38 - .../examples/LCL024-1+rm_eq_rstfp.kif | 44 - .../examples/LCL038-1+rm_eq_rstfp.kif | 42 - .../examples/LCL109-2+rm_eq_rstfp.kif | 54 - snark-20120808r02/examples/LCL111-1.tptp | 55 - .../examples/LCL114-1+rm_eq_rstfp.kif | 53 - snark-20120808r02/examples/PUZ031+1.kif | 155 - 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snark-20120808r02/src/multiset-ordering.abcl delete mode 100644 snark-20120808r02/src/multiset-ordering.lisp delete mode 100644 snark-20120808r02/src/mvlet.abcl delete mode 100644 snark-20120808r02/src/mvlet.lisp delete mode 100644 snark-20120808r02/src/nonhorn-magic-set.abcl delete mode 100644 snark-20120808r02/src/nonhorn-magic-set.lisp delete mode 100644 snark-20120808r02/src/numbering-system.lisp delete mode 100644 snark-20120808r02/src/numbering.abcl delete mode 100644 snark-20120808r02/src/numbering.lisp delete mode 100644 snark-20120808r02/src/options.abcl delete mode 100644 snark-20120808r02/src/options.lisp delete mode 100644 snark-20120808r02/src/output.abcl delete mode 100644 snark-20120808r02/src/output.lisp delete mode 100644 snark-20120808r02/src/patches.abcl delete mode 100644 snark-20120808r02/src/patches.lisp delete mode 100644 snark-20120808r02/src/path-index.abcl delete mode 100644 snark-20120808r02/src/path-index.lisp delete mode 100644 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snark-20120808r02/src/wffs.lisp diff --git a/.gitmodules b/.gitmodules new file mode 100644 index 0000000..a30d685 --- /dev/null +++ b/.gitmodules @@ -0,0 +1,3 @@ +[submodule "snark"] + path = snark + url = https://github.com/RAIRLab/snark diff --git a/Dockerfile b/Dockerfile index 324daa9..6b23ac7 100644 --- a/Dockerfile +++ b/Dockerfile @@ -1,6 +1,6 @@ FROM maven:3.6.3-jdk-11 ADD ./target/server-jar-with-dependencies.jar ./ -RUN mkdir -p ./snark-20120808r02 -COPY ./snark-20120808r02/ ./snark-20120808r02 +RUN mkdir -p ./snark +COPY ./snark/ ./snark2 EXPOSE 25333 25334 CMD java -jar server-jar-with-dependencies.jar \ No newline at end of file diff --git a/snark b/snark new file mode 160000 index 0000000..1b657ea --- /dev/null +++ b/snark @@ -0,0 +1 @@ +Subproject commit 1b657eadf4e87f3ba46e030c3e549854b2454a4e diff --git a/snark-20120808r02/INSTALL b/snark-20120808r02/INSTALL deleted file mode 100644 index aff6738..0000000 --- a/snark-20120808r02/INSTALL +++ /dev/null @@ -1,53 +0,0 @@ -SNARK is run regularly in - Macintosh Common Lisp on Mac OS X - Steel Bank Common Lisp (SBCL) on Mac OS X - Clozure Common Lisp (CCL nee OpenMCL) on Mac OS X -and has been run in other ANSI Common Lisp systems - -After editing for the correct name and location of the SBCL Lisp system in the appropriate make-xxx file -a 32-bit executable of SNARK in SBCL named snark can be made by ./make-snark-sbcl; -a 64-bit executable of SNARK in SBCL named snark64 can be make by ./make-snark-sbcl64. - -After editing for the correct name and location of the CCL Lisp system in the appropriate make-xxx file -a 32-bit executable of SNARK in CCL named snark-ccl can be made by ./make-snark-ccl; -a 64-bit executable of SNARK in CCL named snark-ccl64 can be maded by ./make-snark-ccl64 - - - -Older detailed instructions: - -(replace "yyyymmdd" by the SNARK version date) - -Installing SNARK: - - tar xfz snark-yyyymmdd.tar.gz - cd snark-yyyymmdd - lisp - (load "snark-system.lisp") - (make-snark-system t) ;t specifies compilation - (make-snark-system t) ;compile again for more inlining (optional) - ;can use :optimize instead of t to compile for - ;higher speed at the expense of less error checking - (quit) - -Running SNARK: - - lisp - (load "snark-system.lisp") - (make-snark-system) ;loads SNARK files compiled above - : - -The lengthy load process in running SNARK can be eliminated -for CCL, SBCL, CMUCL, Allegro Common Lisp, or CLISP by doing - lisp - (load "snark-system.lisp") - (make-snark-system) - (save-snark-system) -after installing SNARK as above. -(save-snark-system) will print instructions for running -the resulting Lisp core image with SNARK preloaded. - -In the case of SBCL, (save-snark-system) can be replaced by -(save-snark-system :name "snark" :executable t) -to create a standalone SNARK executable. This is done -by the make-snark-sbcl and make-snark-sbcl64 scripts. diff --git a/snark-20120808r02/LICENSE b/snark-20120808r02/LICENSE deleted file mode 100644 index 7da89f9..0000000 --- a/snark-20120808r02/LICENSE +++ /dev/null @@ -1,453 +0,0 @@ - MOZILLA PUBLIC LICENSE - Version 1.1 - - --------------- - -1. Definitions. - - 1.0.1. "Commercial Use" means distribution or otherwise making the - Covered Code available to a third party. - - 1.1. "Contributor" means each entity that creates or contributes to - the creation of Modifications. - - 1.2. "Contributor Version" means the combination of the Original - Code, prior Modifications used by a Contributor, and the Modifications - made by that particular Contributor. - - 1.3. "Covered Code" means the Original Code or Modifications or the - combination of the Original Code and Modifications, in each case - including portions thereof. - - 1.4. "Electronic Distribution Mechanism" means a mechanism generally - accepted in the software development community for the electronic - transfer of data. - - 1.5. "Executable" means Covered Code in any form other than Source - Code. - - 1.6. "Initial Developer" means the individual or entity identified - as the Initial Developer in the Source Code notice required by Exhibit - A. - - 1.7. "Larger Work" means a work which combines Covered Code or - portions thereof with code not governed by the terms of this License. - - 1.8. "License" means this document. - - 1.8.1. "Licensable" means having the right to grant, to the maximum - extent possible, whether at the time of the initial grant or - subsequently acquired, any and all of the rights conveyed herein. - - 1.9. "Modifications" means any addition to or deletion from the - substance or structure of either the Original Code or any previous - Modifications. When Covered Code is released as a series of files, a - Modification is: - A. Any addition to or deletion from the contents of a file - containing Original Code or previous Modifications. - - B. Any new file that contains any part of the Original Code or - previous Modifications. - - 1.10. "Original Code" means Source Code of computer software code - which is described in the Source Code notice required by Exhibit A as - Original Code, and which, at the time of its release under this - License is not already Covered Code governed by this License. - - 1.10.1. "Patent Claims" means any patent claim(s), now owned or - hereafter acquired, including without limitation, method, process, - and apparatus claims, in any patent Licensable by grantor. - - 1.11. "Source Code" means the preferred form of the Covered Code for - making modifications to it, including all modules it contains, plus - any associated interface definition files, scripts used to control - compilation and installation of an Executable, or source code - differential comparisons against either the Original Code or another - well known, available Covered Code of the Contributor's choice. The - Source Code can be in a compressed or archival form, provided the - appropriate decompression or de-archiving software is widely available - for no charge. - - 1.12. "You" (or "Your") means an individual or a legal entity - exercising rights under, and complying with all of the terms of, this - License or a future version of this License issued under Section 6.1. - For legal entities, "You" includes any entity which controls, is - controlled by, or is under common control with You. For purposes of - this definition, "control" means (a) the power, direct or indirect, - to cause the direction or management of such entity, whether by - contract or otherwise, or (b) ownership of more than fifty percent - (50%) of the outstanding shares or beneficial ownership of such - entity. - -2. Source Code License. - - 2.1. The Initial Developer Grant. - The Initial Developer hereby grants You a world-wide, royalty-free, - non-exclusive license, subject to third party intellectual property - claims: - (a) under intellectual property rights (other than patent or - trademark) Licensable by Initial Developer to use, reproduce, - modify, display, perform, sublicense and distribute the Original - Code (or portions thereof) with or without Modifications, and/or - as part of a Larger Work; and - - (b) under Patents Claims infringed by the making, using or - selling of Original Code, to make, have made, use, practice, - sell, and offer for sale, and/or otherwise dispose of the - Original Code (or portions thereof). - - (c) the licenses granted in this Section 2.1(a) and (b) are - effective on the date Initial Developer first distributes - Original Code under the terms of this License. - - (d) Notwithstanding Section 2.1(b) above, no patent license is - granted: 1) for code that You delete from the Original Code; 2) - separate from the Original Code; or 3) for infringements caused - by: i) the modification of the Original Code or ii) the - combination of the Original Code with other software or devices. - - 2.2. Contributor Grant. - Subject to third party intellectual property claims, each Contributor - hereby grants You a world-wide, royalty-free, non-exclusive license - - (a) under intellectual property rights (other than patent or - trademark) Licensable by Contributor, to use, reproduce, modify, - display, perform, sublicense and distribute the Modifications - created by such Contributor (or portions thereof) either on an - unmodified basis, with other Modifications, as Covered Code - and/or as part of a Larger Work; and - - (b) under Patent Claims infringed by the making, using, or - selling of Modifications made by that Contributor either alone - and/or in combination with its Contributor Version (or portions - of such combination), to make, use, sell, offer for sale, have - made, and/or otherwise dispose of: 1) Modifications made by that - Contributor (or portions thereof); and 2) the combination of - Modifications made by that Contributor with its Contributor - Version (or portions of such combination). - - (c) the licenses granted in Sections 2.2(a) and 2.2(b) are - effective on the date Contributor first makes Commercial Use of - the Covered Code. - - (d) Notwithstanding Section 2.2(b) above, no patent license is - granted: 1) for any code that Contributor has deleted from the - Contributor Version; 2) separate from the Contributor Version; - 3) for infringements caused by: i) third party modifications of - Contributor Version or ii) the combination of Modifications made - by that Contributor with other software (except as part of the - Contributor Version) or other devices; or 4) under Patent Claims - infringed by Covered Code in the absence of Modifications made by - that Contributor. - -3. Distribution Obligations. - - 3.1. Application of License. - The Modifications which You create or to which You contribute are - governed by the terms of this License, including without limitation - Section 2.2. The Source Code version of Covered Code may be - distributed only under the terms of this License or a future version - of this License released under Section 6.1, and You must include a - copy of this License with every copy of the Source Code You - distribute. You may not offer or impose any terms on any Source Code - version that alters or restricts the applicable version of this - License or the recipients' rights hereunder. However, You may include - an additional document offering the additional rights described in - Section 3.5. - - 3.2. Availability of Source Code. - Any Modification which You create or to which You contribute must be - made available in Source Code form under the terms of this License - either on the same media as an Executable version or via an accepted - Electronic Distribution Mechanism to anyone to whom you made an - Executable version available; and if made available via Electronic - Distribution Mechanism, must remain available for at least twelve (12) - months after the date it initially became available, or at least six - (6) months after a subsequent version of that particular Modification - has been made available to such recipients. You are responsible for - ensuring that the Source Code version remains available even if the - Electronic Distribution Mechanism is maintained by a third party. - - 3.3. Description of Modifications. - You must cause all Covered Code to which You contribute to contain a - file documenting the changes You made to create that Covered Code and - the date of any change. You must include a prominent statement that - the Modification is derived, directly or indirectly, from Original - Code provided by the Initial Developer and including the name of the - Initial Developer in (a) the Source Code, and (b) in any notice in an - Executable version or related documentation in which You describe the - origin or ownership of the Covered Code. - - 3.4. Intellectual Property Matters - (a) Third Party Claims. - If Contributor has knowledge that a license under a third party's - intellectual property rights is required to exercise the rights - granted by such Contributor under Sections 2.1 or 2.2, - Contributor must include a text file with the Source Code - distribution titled "LEGAL" which describes the claim and the - party making the claim in sufficient detail that a recipient will - know whom to contact. If Contributor obtains such knowledge after - the Modification is made available as described in Section 3.2, - Contributor shall promptly modify the LEGAL file in all copies - Contributor makes available thereafter and shall take other steps - (such as notifying appropriate mailing lists or newsgroups) - reasonably calculated to inform those who received the Covered - Code that new knowledge has been obtained. - - (b) Contributor APIs. - If Contributor's Modifications include an application programming - interface and Contributor has knowledge of patent licenses which - are reasonably necessary to implement that API, Contributor must - also include this information in the LEGAL file. - - (c) Representations. - Contributor represents that, except as disclosed pursuant to - Section 3.4(a) above, Contributor believes that Contributor's - Modifications are Contributor's original creation(s) and/or - Contributor has sufficient rights to grant the rights conveyed by - this License. - - 3.5. Required Notices. - You must duplicate the notice in Exhibit A in each file of the Source - Code. If it is not possible to put such notice in a particular Source - Code file due to its structure, then You must include such notice in a - location (such as a relevant directory) where a user would be likely - to look for such a notice. If You created one or more Modification(s) - You may add your name as a Contributor to the notice described in - Exhibit A. You must also duplicate this License in any documentation - for the Source Code where You describe recipients' rights or ownership - rights relating to Covered Code. You may choose to offer, and to - charge a fee for, warranty, support, indemnity or liability - obligations to one or more recipients of Covered Code. However, You - may do so only on Your own behalf, and not on behalf of the Initial - Developer or any Contributor. You must make it absolutely clear than - any such warranty, support, indemnity or liability obligation is - offered by You alone, and You hereby agree to indemnify the Initial - Developer and every Contributor for any liability incurred by the - Initial Developer or such Contributor as a result of warranty, - support, indemnity or liability terms You offer. - - 3.6. Distribution of Executable Versions. - You may distribute Covered Code in Executable form only if the - requirements of Section 3.1-3.5 have been met for that Covered Code, - and if You include a notice stating that the Source Code version of - the Covered Code is available under the terms of this License, - including a description of how and where You have fulfilled the - obligations of Section 3.2. The notice must be conspicuously included - in any notice in an Executable version, related documentation or - collateral in which You describe recipients' rights relating to the - Covered Code. You may distribute the Executable version of Covered - Code or ownership rights under a license of Your choice, which may - contain terms different from this License, provided that You are in - compliance with the terms of this License and that the license for the - Executable version does not attempt to limit or alter the recipient's - rights in the Source Code version from the rights set forth in this - License. If You distribute the Executable version under a different - license You must make it absolutely clear that any terms which differ - from this License are offered by You alone, not by the Initial - Developer or any Contributor. You hereby agree to indemnify the - Initial Developer and every Contributor for any liability incurred by - the Initial Developer or such Contributor as a result of any such - terms You offer. - - 3.7. Larger Works. - You may create a Larger Work by combining Covered Code with other code - not governed by the terms of this License and distribute the Larger - Work as a single product. In such a case, You must make sure the - requirements of this License are fulfilled for the Covered Code. - -4. Inability to Comply Due to Statute or Regulation. - - If it is impossible for You to comply with any of the terms of this - License with respect to some or all of the Covered Code due to - statute, judicial order, or regulation then You must: (a) comply with - the terms of this License to the maximum extent possible; and (b) - describe the limitations and the code they affect. Such description - must be included in the LEGAL file described in Section 3.4 and must - be included with all distributions of the Source Code. Except to the - extent prohibited by statute or regulation, such description must be - sufficiently detailed for a recipient of ordinary skill to be able to - understand it. - -5. Application of this License. - - This License applies to code to which the Initial Developer has - attached the notice in Exhibit A and to related Covered Code. - -6. Versions of the License. - - 6.1. New Versions. - Netscape Communications Corporation ("Netscape") may publish revised - and/or new versions of the License from time to time. Each version - will be given a distinguishing version number. - - 6.2. Effect of New Versions. - Once Covered Code has been published under a particular version of the - License, You may always continue to use it under the terms of that - version. You may also choose to use such Covered Code under the terms - of any subsequent version of the License published by Netscape. No one - other than Netscape has the right to modify the terms applicable to - Covered Code created under this License. - - 6.3. Derivative Works. - If You create or use a modified version of this License (which you may - only do in order to apply it to code which is not already Covered Code - governed by this License), You must (a) rename Your license so that - the phrases "Mozilla", "MOZILLAPL", "MOZPL", "Netscape", - "MPL", "NPL" or any confusingly similar phrase do not appear in your - license (except to note that your license differs from this License) - and (b) otherwise make it clear that Your version of the license - contains terms which differ from the Mozilla Public License and - Netscape Public License. (Filling in the name of the Initial - Developer, Original Code or Contributor in the notice described in - Exhibit A shall not of themselves be deemed to be modifications of - this License.) - -7. DISCLAIMER OF WARRANTY. - - COVERED CODE IS PROVIDED UNDER THIS LICENSE ON AN "AS IS" BASIS, - WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, - WITHOUT LIMITATION, WARRANTIES THAT THE COVERED CODE IS FREE OF - DEFECTS, MERCHANTABLE, FIT FOR A PARTICULAR PURPOSE OR NON-INFRINGING. - THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE COVERED CODE - IS WITH YOU. SHOULD ANY COVERED CODE PROVE DEFECTIVE IN ANY RESPECT, - YOU (NOT THE INITIAL DEVELOPER OR ANY OTHER CONTRIBUTOR) ASSUME THE - COST OF ANY NECESSARY SERVICING, REPAIR OR CORRECTION. THIS DISCLAIMER - OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS LICENSE. NO USE OF - ANY COVERED CODE IS AUTHORIZED HEREUNDER EXCEPT UNDER THIS DISCLAIMER. - -8. TERMINATION. - - 8.1. This License and the rights granted hereunder will terminate - automatically if You fail to comply with terms herein and fail to cure - such breach within 30 days of becoming aware of the breach. All - sublicenses to the Covered Code which are properly granted shall - survive any termination of this License. Provisions which, by their - nature, must remain in effect beyond the termination of this License - shall survive. - - 8.2. If You initiate litigation by asserting a patent infringement - claim (excluding declatory judgment actions) against Initial Developer - or a Contributor (the Initial Developer or Contributor against whom - You file such action is referred to as "Participant") alleging that: - - (a) such Participant's Contributor Version directly or indirectly - infringes any patent, then any and all rights granted by such - Participant to You under Sections 2.1 and/or 2.2 of this License - shall, upon 60 days notice from Participant terminate prospectively, - unless if within 60 days after receipt of notice You either: (i) - agree in writing to pay Participant a mutually agreeable reasonable - royalty for Your past and future use of Modifications made by such - Participant, or (ii) withdraw Your litigation claim with respect to - the Contributor Version against such Participant. If within 60 days - of notice, a reasonable royalty and payment arrangement are not - mutually agreed upon in writing by the parties or the litigation claim - is not withdrawn, the rights granted by Participant to You under - Sections 2.1 and/or 2.2 automatically terminate at the expiration of - the 60 day notice period specified above. - - (b) any software, hardware, or device, other than such Participant's - Contributor Version, directly or indirectly infringes any patent, then - any rights granted to You by such Participant under Sections 2.1(b) - and 2.2(b) are revoked effective as of the date You first made, used, - sold, distributed, or had made, Modifications made by that - Participant. - - 8.3. If You assert a patent infringement claim against Participant - alleging that such Participant's Contributor Version directly or - indirectly infringes any patent where such claim is resolved (such as - by license or settlement) prior to the initiation of patent - infringement litigation, then the reasonable value of the licenses - granted by such Participant under Sections 2.1 or 2.2 shall be taken - into account in determining the amount or value of any payment or - license. - - 8.4. In the event of termination under Sections 8.1 or 8.2 above, - all end user license agreements (excluding distributors and resellers) - which have been validly granted by You or any distributor hereunder - prior to termination shall survive termination. - -9. LIMITATION OF LIABILITY. - - UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, WHETHER TORT - (INCLUDING NEGLIGENCE), CONTRACT, OR OTHERWISE, SHALL YOU, THE INITIAL - DEVELOPER, ANY OTHER CONTRIBUTOR, OR ANY DISTRIBUTOR OF COVERED CODE, - OR ANY SUPPLIER OF ANY OF SUCH PARTIES, BE LIABLE TO ANY PERSON FOR - ANY INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES OF ANY - CHARACTER INCLUDING, WITHOUT LIMITATION, DAMAGES FOR LOSS OF GOODWILL, - WORK STOPPAGE, COMPUTER FAILURE OR MALFUNCTION, OR ANY AND ALL OTHER - COMMERCIAL DAMAGES OR LOSSES, EVEN IF SUCH PARTY SHALL HAVE BEEN - INFORMED OF THE POSSIBILITY OF SUCH DAMAGES. THIS LIMITATION OF - LIABILITY SHALL NOT APPLY TO LIABILITY FOR DEATH OR PERSONAL INJURY - RESULTING FROM SUCH PARTY'S NEGLIGENCE TO THE EXTENT APPLICABLE LAW - PROHIBITS SUCH LIMITATION. SOME JURISDICTIONS DO NOT ALLOW THE - EXCLUSION OR LIMITATION OF INCIDENTAL OR CONSEQUENTIAL DAMAGES, SO - THIS EXCLUSION AND LIMITATION MAY NOT APPLY TO YOU. - -10. U.S. GOVERNMENT END USERS. - - The Covered Code is a "commercial item," as that term is defined in - 48 C.F.R. 2.101 (Oct. 1995), consisting of "commercial computer - software" and "commercial computer software documentation," as such - terms are used in 48 C.F.R. 12.212 (Sept. 1995). Consistent with 48 - C.F.R. 12.212 and 48 C.F.R. 227.7202-1 through 227.7202-4 (June 1995), - all U.S. Government End Users acquire Covered Code with only those - rights set forth herein. - -11. MISCELLANEOUS. - - This License represents the complete agreement concerning subject - matter hereof. If any provision of this License is held to be - unenforceable, such provision shall be reformed only to the extent - necessary to make it enforceable. This License shall be governed by - California law provisions (except to the extent applicable law, if - any, provides otherwise), excluding its conflict-of-law provisions. - With respect to disputes in which at least one party is a citizen of, - or an entity chartered or registered to do business in the United - States of America, any litigation relating to this License shall be - subject to the jurisdiction of the Federal Courts of the Northern - District of California, with venue lying in Santa Clara County, - California, with the losing party responsible for costs, including - without limitation, court costs and reasonable attorneys' fees and - expenses. The application of the United Nations Convention on - Contracts for the International Sale of Goods is expressly excluded. - Any law or regulation which provides that the language of a contract - shall be construed against the drafter shall not apply to this - License. - -12. RESPONSIBILITY FOR CLAIMS. - - As between Initial Developer and the Contributors, each party is - responsible for claims and damages arising, directly or indirectly, - out of its utilization of rights under this License and You agree to - work with Initial Developer and Contributors to distribute such - responsibility on an equitable basis. Nothing herein is intended or - shall be deemed to constitute any admission of liability. - -13. MULTIPLE-LICENSED CODE. - - Initial Developer may designate portions of the Covered Code as - "Multiple-Licensed". "Multiple-Licensed" means that the Initial - Developer permits you to utilize portions of the Covered Code under - Your choice of the NPL or the alternative licenses, if any, specified - by the Initial Developer in the file described in Exhibit A. - -EXHIBIT A -Mozilla Public License. - - ``The contents of this file are subject to the Mozilla Public License - Version 1.1 (the "License"); you may not use this file except in - compliance with the License. You may obtain a copy of the License at - http://www.mozilla.org/MPL/ - - Software distributed under the License is distributed on an "AS IS" - basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the - License for the specific language governing rights and limitations - under the License. - - The Original Code is SNARK. - - The Initial Developer of the Original Code is SRI International. - Portions created by the Initial Developer are Copyright (C) 1981-2011. - All Rights Reserved. - - Contributor(s): Mark E. Stickel . diff --git a/snark-20120808r02/README b/snark-20120808r02/README deleted file mode 100644 index 172d903..0000000 --- a/snark-20120808r02/README +++ /dev/null @@ -1,36 +0,0 @@ -(replace "yyyymmdd" by the SNARK version date) - -Obtaining SNARK: - - SNARK can be downloaded from the SNARK web page - http://www.ai.sri.com/~stickel/snark.html - -See INSTALL file for installation instructions - -Running SNARK: - - lisp - (load "snark-system.lisp") - (make-snark-system) - : - -Examples: - - (overbeek-test) in overbeek-test.lisp - some standard theorem-proving examples, some time-consuming - - (steamroller-example) in steamroller-example.lisp - illustrates sorts - - (front-last-example) in front-last-example.lisp - illustrates program synthesis - - (reverse-example) in reverse-example.lisp - illustrates logic programming style usage - -A guide to SNARK has been written: - - http://www.ai.sri.com/snark/tutorial/tutorial.html - -but has not been updated yet to reflect changes in SNARK, -especially for temporal and spatial reasoning. diff --git a/snark-20120808r02/commons.lisp b/snark-20120808r02/commons.lisp deleted file mode 100644 index e69de29..0000000 diff --git a/snark-20120808r02/compile b/snark-20120808r02/compile deleted file mode 100644 index 59884f7..0000000 --- a/snark-20120808r02/compile +++ /dev/null @@ -1,4 +0,0 @@ -(load "snark-system.lisp") -(make-snark-system t) -(make-snark-system :optimize) -(quit) diff --git a/snark-20120808r02/examples/BOO002-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/BOO002-1+rm_eq_rstfp.kif deleted file mode 100644 index 558a5c4..0000000 --- a/snark-20120808r02/examples/BOO002-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,47 +0,0 @@ -;-------------------------------------------------------------------------- -; File : BOO002-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Boolean Algebra (Ternary) -; Problem : In B3 algebra, X * X^-1 * Y = Y -; Version : [OTTER] (equality) axioms : Reduced > Incomplete. -; English : - -; Refs : [LO85] Lusk & Overbeek (1985), Reasoning about Equality -; : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [Ove90] -; Names : Problem 5 [LO85] -; : CADE-11 Competition Eq-3 [Ove90] -; : THEOREM EQ-3 [LM93] -; : PROBLEM 3 [Zha93] - -; Status : unsatisfiable -; Rating : 0.33 v2.2.0, 0.43 v2.1.0, 0.38 v2.0.0 -; Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 1 RR) -; Number of literals : 5 ( 5 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 4 ( 2 constant; 0-3 arity) -; Number of variables : 11 ( 2 singleton) -; Maximal term depth : 3 ( 2 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp BOO002-1.p -;-------------------------------------------------------------------------- -; associativity, axiom. -(or (= (multiply (multiply ?A ?B ?C) ?D (multiply ?A ?B ?E)) (multiply ?A ?B (multiply ?C ?D ?E)))) - -; ternary_multiply_1, axiom. -(or (= (multiply ?A ?B ?B) ?B)) - -; ternary_multiply_2, axiom. -(or (= (multiply ?A ?A ?B) ?A)) - -; left_inverse, axiom. -(or (= (multiply (inverse ?A) ?A ?B) ?B)) - -; prove_equation, conjecture. -(or (/= (multiply a (inverse a) b) b)) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/COL003-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/COL003-1+rm_eq_rstfp.kif deleted file mode 100644 index edc3293..0000000 --- a/snark-20120808r02/examples/COL003-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,53 +0,0 @@ -;-------------------------------------------------------------------------- -; File : COL003-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Combinatory Logic -; Problem : Strong fixed point for B and W -; Version : [WM88] (equality) axioms. -; English : The strong fixed point property holds for the set -; P consisting of the combinators B and W alone, where ((Bx)y)z -; = x(yz) and (Wx)y = (xy)y. - -; Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi -; : [MW87] McCune & Wos (1987), A Case Study in Automated Theorem -; : [WM88] Wos & McCune (1988), Challenge Problems Focusing on Eq -; : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr -; : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [LW92] Lusk & Wos (1992), Benchmark Problems in Which Equalit -; : [Wos93] Wos (1993), The Kernel Strategy and Its Use for the St -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [WM88] -; Names : C2 [WM88] -; : Test Problem 17 [Wos88] -; : Sages and Combinatory Logic [Wos88] -; : CADE-11 Competition Eq-8 [Ove90] -; : CL2 [LW92] -; : THEOREM EQ-8 [LM93] -; : Question 3 [Wos93] -; : Question 5 [Wos93] -; : PROBLEM 8 [Zha93] - -; Status : unknown -; Rating : 1.00 v2.0.0 -; Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) -; Number of literals : 3 ( 3 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 4 ( 2 constant; 0-2 arity) -; Number of variables : 6 ( 0 singleton) -; Maximal term depth : 4 ( 3 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp COL003-1.p -;-------------------------------------------------------------------------- -; b_definition, axiom. -(or (= (apply (apply (apply b ?A) ?B) ?C) (apply ?A (apply ?B ?C)))) - -; w_definition, axiom. -(or (= (apply (apply w ?A) ?B) (apply (apply ?A ?B) ?B))) - -; prove_strong_fixed_point, conjecture. -(or (/= (apply ?A (f ?A)) (apply (f ?A) (apply ?A (f ?A))))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/COL049-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/COL049-1+rm_eq_rstfp.kif deleted file mode 100644 index f9b2587..0000000 --- a/snark-20120808r02/examples/COL049-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,52 +0,0 @@ -;-------------------------------------------------------------------------- -; File : COL049-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Combinatory Logic -; Problem : Strong fixed point for B, W, and M -; Version : [WM88] (equality) axioms. -; English : The strong fixed point property holds for the set -; P consisting of the combinators B, W, and M, where ((Bx)y)z -; = x(yz), (Wx)y = (xy)y, Mx = xx. - -; Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi -; : [MW87] McCune & Wos (1987), A Case Study in Automated Theorem -; : [WM88] Wos & McCune (1988), Challenge Problems Focusing on Eq -; : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [LW92] Lusk & Wos (1992), Benchmark Problems in Which Equalit -; : [Wos93] Wos (1993), The Kernel Strategy and Its Use for the St -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [Ove90] -; Names : Problem 2 [WM88] -; : CADE-11 Competition Eq-6 [Ove90] -; : CL1 [LW92] -; : THEOREM EQ-6 [LM93] -; : Question 2 [Wos93] -; : PROBLEM 6 [Zha93] - -; Status : unsatisfiable -; Rating : 0.22 v2.2.0, 0.14 v2.1.0, 0.62 v2.0.0 -; Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 1 RR) -; Number of literals : 4 ( 4 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 5 ( 3 constant; 0-2 arity) -; Number of variables : 7 ( 0 singleton) -; Maximal term depth : 4 ( 3 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp COL049-1.p -;-------------------------------------------------------------------------- -; b_definition, axiom. -(or (= (apply (apply (apply b ?A) ?B) ?C) (apply ?A (apply ?B ?C)))) - -; w_definition, axiom. -(or (= (apply (apply w ?A) ?B) (apply (apply ?A ?B) ?B))) - -; m_definition, axiom. -(or (= (apply m ?A) (apply ?A ?A))) - -; prove_strong_fixed_point, conjecture. -(or (/= (apply ?A (f ?A)) (apply (f ?A) (apply ?A (f ?A))))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/GRP001-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/GRP001-1+rm_eq_rstfp.kif deleted file mode 100644 index f99f349..0000000 --- a/snark-20120808r02/examples/GRP001-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,78 +0,0 @@ -;-------------------------------------------------------------------------- -; File : GRP001-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Group Theory -; Problem : X^2 = identity => commutativity -; Version : [MOW76] axioms. -; English : If the square of every element is the identity, the system -; is commutative. - -; Refs : [Rob63] Robinson (1963), Theorem Proving on the Computer -; : [Wos65] Wos (1965), Unpublished Note -; : [MOW76] McCharen et al. (1976), Problems and Experiments for a -; : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S -; : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; Source : [MOW76] -; Names : - [Rob63] -; : wos10 [WM76] -; : G1 [MOW76] -; : CADE-11 Competition 1 [Ove90] -; : THEOREM 1 [LM93] -; : xsquared.ver1.in [ANL] - -; Status : unsatisfiable -; Rating : 0.00 v2.0.0 -; Syntax : Number of clauses : 11 ( 0 non-Horn; 8 unit; 5 RR) -; Number of literals : 19 ( 1 equality) -; Maximal clause size : 4 ( 1 average) -; Number of predicates : 2 ( 0 propositional; 2-3 arity) -; Number of functors : 6 ( 4 constant; 0-2 arity) -; Number of variables : 23 ( 0 singleton) -; Maximal term depth : 2 ( 1 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp GRP001-1.p -;-------------------------------------------------------------------------- -; left_identity, axiom. -(or (product identity ?A ?A)) - -; right_identity, axiom. -(or (product ?A identity ?A)) - -; left_inverse, axiom. -(or (product (inverse ?A) ?A identity)) - -; right_inverse, axiom. -(or (product ?A (inverse ?A) identity)) - -; total_function1, axiom. -(or (product ?A ?B (multiply ?A ?B))) - -; total_function2, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?A ?B ?D)) - (= ?C ?D)) - -; associativity1, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?B ?D ?E)) - (not (product ?C ?D ?F)) - (product ?A ?E ?F)) - -; associativity2, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?B ?D ?E)) - (not (product ?A ?E ?F)) - (product ?C ?D ?F)) - -; square_element, hypothesis. -(or (product ?A ?A identity)) - -; a_times_b_is_c, hypothesis. -(or (product a b c)) - -; prove_b_times_a_is_c, conjecture. -(or (not (product b a c))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/GRP002-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/GRP002-1+rm_eq_rstfp.kif deleted file mode 100644 index 650f6e8..0000000 --- a/snark-20120808r02/examples/GRP002-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,98 +0,0 @@ -;-------------------------------------------------------------------------- -; File : GRP002-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Group Theory -; Problem : Commutator equals identity in groups of order 3 -; Version : [MOW76] axioms. -; English : In a group, if (for all x) the cube of x is the identity -; (i.e. a group of order 3), then the equation [[x,y],y]= -; identity holds, where [x,y] is the product of x, y, the -; inverse of x and the inverse of y (i.e. the commutator -; of x and y). - -; Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a -; : [OMW76] Overbeek et al. (1976), Complexity and Related Enhance -; : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr -; : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; Source : [MOW76] -; Names : G6 [MOW76] -; : Theorem 1 [OMW76] -; : Test Problem 2 [Wos88] -; : Commutator Theorem [Wos88] -; : CADE-11 Competition 2 [Ove90] -; : THEOREM 2 [LM93] -; : commutator.ver1.in [ANL] - -; Status : unsatisfiable -; Rating : 0.67 v2.2.0, 0.71 v2.1.0, 1.00 v2.0.0 -; Syntax : Number of clauses : 16 ( 0 non-Horn; 11 unit; 11 RR) -; Number of literals : 26 ( 1 equality) -; Maximal clause size : 4 ( 1 average) -; Number of predicates : 2 ( 0 propositional; 2-3 arity) -; Number of functors : 10 ( 8 constant; 0-2 arity) -; Number of variables : 26 ( 0 singleton) -; Maximal term depth : 2 ( 1 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp GRP002-1.p -;-------------------------------------------------------------------------- -; left_identity, axiom. -(or (product identity ?A ?A)) - -; right_identity, axiom. -(or (product ?A identity ?A)) - -; left_inverse, axiom. -(or (product (inverse ?A) ?A identity)) - -; right_inverse, axiom. -(or (product ?A (inverse ?A) identity)) - -; total_function1, axiom. -(or (product ?A ?B (multiply ?A ?B))) - -; total_function2, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?A ?B ?D)) - (= ?C ?D)) - -; associativity1, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?B ?D ?E)) - (not (product ?C ?D ?F)) - (product ?A ?E ?F)) - -; associativity2, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?B ?D ?E)) - (not (product ?A ?E ?F)) - (product ?C ?D ?F)) - -; x_cubed_is_identity_1, hypothesis. -(or (not (product ?A ?A ?B)) - (product ?A ?B identity)) - -; x_cubed_is_identity_2, hypothesis. -(or (not (product ?A ?A ?B)) - (product ?B ?A identity)) - -; a_times_b_is_c, conjecture. -(or (product a b c)) - -; c_times_inverse_a_is_d, conjecture. -(or (product c (inverse a) d)) - -; d_times_inverse_b_is_h, conjecture. -(or (product d (inverse b) h)) - -; h_times_b_is_j, conjecture. -(or (product h b j)) - -; j_times_inverse_h_is_k, conjecture. -(or (product j (inverse h) k)) - -; prove_k_times_inverse_b_is_e, conjecture. -(or (not (product k (inverse b) identity))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/GRP002-3+rm_eq_rstfp.kif b/snark-20120808r02/examples/GRP002-3+rm_eq_rstfp.kif deleted file mode 100644 index e1ec0f8..0000000 --- a/snark-20120808r02/examples/GRP002-3+rm_eq_rstfp.kif +++ /dev/null @@ -1,53 +0,0 @@ -;-------------------------------------------------------------------------- -; File : GRP002-3 : TPTP v2.2.0. Released v1.0.0. -; Domain : Group Theory -; Problem : Commutator equals identity in groups of order 3 -; Version : [Ove90] (equality) axioms : Incomplete. -; English : In a group, if (for all x) the cube of x is the identity -; (i.e. a group of order 3), then the equation [[x,y],y]= -; identity holds, where [x,y] is the product of x, y, the -; inverse of x and the inverse of y (i.e. the commutator -; of x and y). - -; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [Ove90] -; Names : CADE-11 Competition Eq-1 [Ove90] -; : THEOREM EQ-1 [LM93] -; : PROBLEM 1 [Zha93] -; : comm.in [OTTER] - -; Status : unsatisfiable -; Rating : 0.33 v2.2.0, 0.43 v2.1.0, 0.25 v2.0.0 -; Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 1 RR) -; Number of literals : 6 ( 6 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 6 ( 3 constant; 0-2 arity) -; Number of variables : 8 ( 0 singleton) -; Maximal term depth : 5 ( 2 average) - -; Comments : Uses an explicit formulation of the commutator. -; : tptp2X -f kif -t rm_equality:rstfp GRP002-3.p -;-------------------------------------------------------------------------- -; left_identity, axiom. -(or (= (multiply identity ?A) ?A)) - -; left_inverse, axiom. -(or (= (multiply (inverse ?A) ?A) identity)) - -; associativity, axiom. -(or (= (multiply (multiply ?A ?B) ?C) (multiply ?A (multiply ?B ?C)))) - -; commutator, axiom. -(or (= (commutator ?A ?B) (multiply ?A (multiply ?B (multiply (inverse ?A) (inverse ?B)))))) - -; x_cubed_is_identity, hypothesis. -(or (= (multiply ?A (multiply ?A ?A)) identity)) - -; prove_commutator, conjecture. -(or (/= (commutator (commutator a b) b) identity)) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/GRP014-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/GRP014-1+rm_eq_rstfp.kif deleted file mode 100644 index 8b863e8..0000000 --- a/snark-20120808r02/examples/GRP014-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,38 +0,0 @@ -;-------------------------------------------------------------------------- -; File : GRP014-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Group Theory -; Problem : Product is associative in this group theory -; Version : [Ove90] (equality) axioms : Incomplete. -; English : The group theory specified by the axiom given implies the -; associativity of multiply. - -; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [Ove90] -; Names : CADE-11 Competition Eq-4 [Ove90] -; : THEOREM EQ-4 [LM93] -; : PROBLEM 4 [Zha93] - -; Status : unsatisfiable -; Rating : 0.33 v2.2.0, 0.43 v2.1.0, 0.50 v2.0.0 -; Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) -; Number of literals : 2 ( 2 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 5 ( 3 constant; 0-2 arity) -; Number of variables : 4 ( 0 singleton) -; Maximal term depth : 9 ( 4 average) - -; Comments : The group_axiom is in fact a single axiom for group theory -; [LM93]. -; : tptp2X -f kif -t rm_equality:rstfp GRP014-1.p -;-------------------------------------------------------------------------- -; group_axiom, axiom. -(or (= (multiply ?A (inverse (multiply (multiply (inverse (multiply (inverse ?B) (multiply (inverse ?A) ?C))) ?D) (inverse (multiply ?B ?D))))) ?C)) - -; prove_associativity, conjecture. -(or (/= (multiply a (multiply b c)) (multiply (multiply a b) c))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/LCL024-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/LCL024-1+rm_eq_rstfp.kif deleted file mode 100644 index 5cbf043..0000000 --- a/snark-20120808r02/examples/LCL024-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,44 +0,0 @@ -;-------------------------------------------------------------------------- -; File : LCL024-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Logic Calculi (Equivalential) -; Problem : PYO depends on XGK -; Version : [Ove90] axioms. -; English : Show that Kalman's shortest single axiom for the -; equivalential calculus, XGK, can be derived from the Meredith -; single axiom PYO. - -; Refs : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr -; : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; Source : [Ove90] -; Names : Test Problem 16 [Wos88] -; : XGK and Equivalential Calculus [Wos88] -; : CADE-11 Competition 4 [Ove90] -; : THEOREM 4 [LM93] - -; Status : unsatisfiable -; Rating : 0.78 v2.2.0, 0.89 v2.1.0, 0.75 v2.0.0 -; Syntax : Number of clauses : 3 ( 0 non-Horn; 2 unit; 2 RR) -; Number of literals : 5 ( 0 equality) -; Maximal clause size : 3 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 1-1 arity) -; Number of functors : 4 ( 3 constant; 0-2 arity) -; Number of variables : 5 ( 0 singleton) -; Maximal term depth : 5 ( 2 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp LCL024-1.p -;-------------------------------------------------------------------------- -; condensed_detachment, axiom. -(or (not (is_a_theorem (equivalent ?A ?B))) - (not (is_a_theorem ?A)) - (is_a_theorem ?B)) - -; prove_xgk, axiom. -(or (is_a_theorem (equivalent ?A (equivalent (equivalent ?B (equivalent ?C ?A)) (equivalent ?C ?B))))) - -; prove_pyo, conjecture. -(or (not (is_a_theorem (equivalent (equivalent (equivalent a (equivalent b c)) c) (equivalent b a))))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/LCL038-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/LCL038-1+rm_eq_rstfp.kif deleted file mode 100644 index 39b99ef..0000000 --- a/snark-20120808r02/examples/LCL038-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,42 +0,0 @@ -;-------------------------------------------------------------------------- -; File : LCL038-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Logic Calculi (Implication/Falsehood 2 valued sentential) -; Problem : C0-1 depends on a single axiom -; Version : [McC92] axioms. -; English : An axiomatisation for the Implication/Falsehood 2 valued -; sentential calculus is {C0-1,C0-2,C0-3,C0-4} -; by Tarski-Bernays. Show that C0-1 can be derived from this -; suspected single axiom. - -; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; Source : [Ove90] -; Names : CADE-11 Competition 5 [Ove90] -; : THEOREM 5 [LM93] - -; Status : unsatisfiable -; Rating : 0.89 v2.2.0, 1.00 v2.0.0 -; Syntax : Number of clauses : 3 ( 0 non-Horn; 2 unit; 2 RR) -; Number of literals : 5 ( 0 equality) -; Maximal clause size : 3 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 1-1 arity) -; Number of functors : 4 ( 3 constant; 0-2 arity) -; Number of variables : 6 ( 2 singleton) -; Maximal term depth : 4 ( 2 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp LCL038-1.p -;-------------------------------------------------------------------------- -; condensed_detachment, axiom. -(or (not (is_a_theorem (implies ?A ?B))) - (not (is_a_theorem ?A)) - (is_a_theorem ?B)) - -; single_axiom, axiom. -(or (is_a_theorem (implies (implies (implies ?A ?B) ?C) (implies (implies ?C ?A) (implies ?D ?A))))) - -; prove_c0_1, conjecture. -(or (not (is_a_theorem (implies (implies a b) (implies (implies b c) (implies a c)))))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/LCL109-2+rm_eq_rstfp.kif b/snark-20120808r02/examples/LCL109-2+rm_eq_rstfp.kif deleted file mode 100644 index be3990f..0000000 --- a/snark-20120808r02/examples/LCL109-2+rm_eq_rstfp.kif +++ /dev/null @@ -1,54 +0,0 @@ -;-------------------------------------------------------------------------- -; File : LCL109-2 : TPTP v2.2.0. Released v1.0.0. -; Domain : Logic Calculi (Many valued sentential) -; Problem : MV-4 depends on the Merideth system -; Version : [Ove90] axioms. -; Theorem formulation : Wajsberg algebra formulation. -; English : An axiomatisation of the many valued sentential calculus -; is {MV-1,MV-2,MV-3,MV-5} by Meredith. Wajsberg provided -; a different axiomatisation. Show that MV-4 depends on the -; Wajsberg system. - -; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [LM92] Lusk & McCune (1992), Experiments with ROO, a Parallel -; : [LW92] Lusk & Wos (1992), Benchmark Problems in Which Equalit -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [Ove90] -; Names : CADE-11 Competition Eq-5 [Ove90] -; : Luka-5 [LM92] -; : MV4 [LW92] -; : THEOREM EQ-5 [LM93] -; : PROBLEM 5 [Zha93] - -; Status : unsatisfiable -; Rating : 0.56 v2.2.0, 0.71 v2.1.0, 1.00 v2.0.0 -; Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 1 RR) -; Number of literals : 5 ( 5 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 5 ( 3 constant; 0-2 arity) -; Number of variables : 8 ( 0 singleton) -; Maximal term depth : 4 ( 2 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp LCL109-2.p -; ; 'true' renamed to 'true0' - MES -;-------------------------------------------------------------------------- -; wajsberg_1, axiom. -(or (= (implies true0 ?A) ?A)) - -; wajsberg_2, axiom. -(or (= (implies (implies ?A ?B) (implies (implies ?B ?C) (implies ?A ?C))) true0)) - -; wajsberg_3, axiom. -(or (= (implies (implies ?A ?B) ?B) (implies (implies ?B ?A) ?A))) - -; wajsberg_4, axiom. -(or (= (implies (implies (not ?A) (not ?B)) (implies ?B ?A)) true0)) - -; prove_wajsberg_mv_4, conjecture. -(or (/= (implies (implies (implies a b) (implies b a)) (implies b a)) true0)) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/LCL111-1.tptp b/snark-20120808r02/examples/LCL111-1.tptp deleted file mode 100644 index 19ad2e8..0000000 --- a/snark-20120808r02/examples/LCL111-1.tptp +++ /dev/null @@ -1,55 +0,0 @@ -%------------------------------------------------------------------------------ -% File : LCL111-1 : TPTP v3.0.0. Released v1.0.0. -% Domain : Logic Calculi (Many valued sentential) -% Problem : MV-25 depends on the Merideth system -% Version : [McC92] axioms. -% English : An axiomatisation of the many valued sentential calculus -% is {MV-1,MV-2,MV-3,MV-5} by Meredith. Show that MV-25 depends -% on the Meredith system. - -% Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -% : [MW92] McCune & Wos (1992), Experiments in Automated Deductio -% : [McC92] McCune (1992), Email to G. Sutcliffe -% : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -% : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -% Source : [McC92] -% Names : CADE-11 Competition 6 [Ove90] -% : MV-57 [MW92] -% : THEOREM 6 [LM93] -% : mv.in part 2 [OTTER] -% : mv25.in [OTTER] -% : ovb6 [SETHEO] - -% Status : Unsatisfiable -% Rating : 0.00 v2.4.0, 0.43 v2.3.0, 0.14 v2.2.1, 0.11 v2.2.0, 0.22 v2.1.0, 0.25 v2.0.0 -% Syntax : Number of clauses : 6 ( 0 non-Horn; 5 unit; 2 RR) -% Number of atoms : 8 ( 0 equality) -% Maximal clause size : 3 ( 1 average) -% Number of predicates : 1 ( 0 propositional; 1-1 arity) -% Number of functors : 5 ( 3 constant; 0-2 arity) -% Number of variables : 11 ( 1 singleton) -% Maximal term depth : 4 ( 3 average) - -% Comments : -% : tptp2X -f tptp:short LCL111-1.p -%------------------------------------------------------------------------------ -cnf(condensed_detachment,axiom,( - ~ is_a_theorem(implies(X,Y)) - | ~ is_a_theorem(X) - | is_a_theorem(Y) )). - -cnf(mv_1,axiom,( - is_a_theorem(implies(X,implies(Y,X))) )). - -cnf(mv_2,axiom,( - is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )). - -cnf(mv_3,axiom,( - is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) )). - -cnf(mv_5,axiom,( - is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) )). - -cnf(prove_mv_25,negated_conjecture,( - ~ is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b)))) )). -%------------------------------------------------------------------------------ diff --git a/snark-20120808r02/examples/LCL114-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/LCL114-1+rm_eq_rstfp.kif deleted file mode 100644 index 0b064da..0000000 --- a/snark-20120808r02/examples/LCL114-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,53 +0,0 @@ -;-------------------------------------------------------------------------- -; File : LCL114-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Logic Calculi (Many valued sentential) -; Problem : MV-36 depnds on the Merideth system -; Version : [McC92] axioms. -; English : An axiomatisation of the many valued sentential calculus -; is {MV-1,MV-2,MV-3,MV-5} by Meredith. Show that 36 depends -; on the Meredith system. - -; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [MW92] McCune & Wos (1992), Experiments in Automated Deductio -; : [McC92] McCune (1992), Email to G. Sutcliffe -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; Source : [McC92] -; Names : CADE-11 Competition 7 [Ove90] -; : MV-60 [MW92] -; : THEOREM 7 [LM93] - -; Status : unsatisfiable -; Rating : 0.89 v2.1.0, 0.88 v2.0.0 -; Syntax : Number of clauses : 6 ( 0 non-Horn; 5 unit; 2 RR) -; Number of literals : 8 ( 0 equality) -; Maximal clause size : 3 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 1-1 arity) -; Number of functors : 4 ( 2 constant; 0-2 arity) -; Number of variables : 11 ( 1 singleton) -; Maximal term depth : 4 ( 2 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp LCL114-1.p -;-------------------------------------------------------------------------- -; condensed_detachment, axiom. -(or (not (is_a_theorem (implies ?A ?B))) - (not (is_a_theorem ?A)) - (is_a_theorem ?B)) - -; mv_1, axiom. -(or (is_a_theorem (implies ?A (implies ?B ?A)))) - -; mv_2, axiom. -(or (is_a_theorem (implies (implies ?A ?B) (implies (implies ?B ?C) (implies ?A ?C))))) - -; mv_3, axiom. -(or (is_a_theorem (implies (implies (implies ?A ?B) ?B) (implies (implies ?B ?A) ?A)))) - -; mv_5, axiom. -(or (is_a_theorem (implies (implies (not ?A) (not ?B)) (implies ?B ?A)))) - -; prove_mv_36, conjecture. -(or (not (is_a_theorem (implies (implies a b) (implies (not b) (not a)))))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/PUZ031+1.kif b/snark-20120808r02/examples/PUZ031+1.kif deleted file mode 100644 index 0e451e4..0000000 --- a/snark-20120808r02/examples/PUZ031+1.kif +++ /dev/null @@ -1,155 +0,0 @@ -;-------------------------------------------------------------------------- -; File : PUZ031+1 : TPTP v2.2.0. Released v2.0.0. -; Domain : Puzzles -; Problem : Schubert's Steamroller -; Version : Especial. -; English : Wolves, foxes, birds, caterpillars, and snails are animals, and -; there are some of each of them. Also there are some grains, and -; grains are plants. Every animal either likes to eat all plants -; or all animals much smaller than itself that like to eat some -; plants. Caterpillars and snails are much smaller than birds, -; which are much smaller than foxes, which in turn are much -; smaller than wolves. Wolves do not like to eat foxes or grains, -; while birds like to eat caterpillars but not snails. -; Caterpillars and snails like to eat some plants. Therefore -; there is an animal that likes to eat a grain eating animal. - -; Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au -; : [Hah94] Haehnle (1994), Email to G. Sutcliffe -; Source : [Hah94] -; Names : Pelletier 47 [Pel86] - -; Status : theorem -; Rating : 0.00 v2.1.0 -; Syntax : Number of formulae : 21 ( 6 unit) -; Number of atoms : 55 ( 0 equality) -; Maximal formula depth : 9 ( 3 average) -; Number of connectives : 36 ( 2 ~ ; 4 |; 14 &) -; ( 0 <=>; 16 =>; 0 <=) -; ( 0 <~>; 0 ~|; 0 ~&) -; Number of predicates : 10 ( 0 propositional; 1-2 arity) -; Number of functors : 0 ( 0 constant; --- arity) -; Number of variables : 33 ( 0 singleton; 22 !; 11 ?) -; Maximal term depth : 1 ( 1 average) - -; Comments : This problem is named after Len Schubert. -; : tptp2X -f kif PUZ031+1.p -;-------------------------------------------------------------------------- -; pel47_1_1, axiom. - (forall (?A) - (=> (wolf ?A) - (animal ?A) ) ) - -; pel47_1_2, axiom. - (exists (?A)(wolf ?A) ) - -; pel47_2_1, axiom. - (forall (?A) - (=> (fox ?A) - (animal ?A) ) ) - -; pel47_2_2, axiom. - (exists (?A)(fox ?A) ) - -; pel47_3_1, axiom. - (forall (?A) - (=> (bird ?A) - (animal ?A) ) ) - -; pel47_3_2, axiom. - (exists (?A)(bird ?A) ) - -; pel47_4_1, axiom. - (forall (?A) - (=> (caterpillar ?A) - (animal ?A) ) ) - -; pel47_4_2, axiom. - (exists (?A)(caterpillar ?A) ) - -; pel47_5_1, axiom. - (forall (?A) - (=> (snail ?A) - (animal ?A) ) ) - -; pel47_5_2, axiom. - (exists (?A)(snail ?A) ) - -; pel47_6_1, axiom. - (exists (?A)(grain ?A) ) - -; pel47_6_2, axiom. - (forall (?A) - (=> (grain ?A) - (plant ?A) ) ) - -; pel47_7, axiom. - (forall (?A) - (=> (animal ?A) - (or (forall (?B) - (=> (plant ?B) - (eats ?A ?B) ) ) - (forall (?C) - (=> (and (and (animal ?C) - (much_smaller ?C ?A) ) - (exists (?D) - (and (plant ?D) - (eats ?C ?D) ) ) ) - (eats ?A ?C) ) ) ) ) ) - -; pel47_8, axiom. - (forall (?A ?B) - (=> (and (bird ?B) - (or (snail ?A) - (caterpillar ?A) ) ) - (much_smaller ?A ?B) ) ) - -; pel47_9, axiom. - (forall (?A ?B) - (=> (and (bird ?A) - (fox ?B) ) - (much_smaller ?A ?B) ) ) - -; pel47_10, axiom. - (forall (?A ?B) - (=> (and (fox ?A) - (wolf ?B) ) - (much_smaller ?A ?B) ) ) - -; pel47_11, axiom. - (forall (?A ?B) - (=> (and (wolf ?A) - (or (fox ?B) - (grain ?B) ) ) - (not (eats ?A ?B) ) ) ) - -; pel47_12, axiom. - (forall (?A ?B) - (=> (and (bird ?A) - (caterpillar ?B) ) - (eats ?A ?B) ) ) - -; pel47_13, axiom. - (forall (?A ?B) - (=> (and (bird ?A) - (snail ?B) ) - (not (eats ?A ?B) ) ) ) - -; pel47_14, axiom. - (forall (?A) - (=> (or (caterpillar ?A) - (snail ?A) ) - (exists (?B) - (and (plant ?B) - (eats ?A ?B) ) ) ) ) - -; pel47, conjecture. - (not (exists (?A ?B) - (and (and (animal ?A) - (animal ?B) ) - (exists (?C) - (and (and (grain ?C) - (eats ?B ?C) ) - (eats ?A ?B) ) ) ) ) ) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/RNG008-6+rm_eq_rstfp.kif b/snark-20120808r02/examples/RNG008-6+rm_eq_rstfp.kif deleted file mode 100644 index 7bf412e..0000000 --- a/snark-20120808r02/examples/RNG008-6+rm_eq_rstfp.kif +++ /dev/null @@ -1,129 +0,0 @@ -;-------------------------------------------------------------------------- -; File : RNG008-6 : TPTP v2.2.0. Released v1.0.0. -; Domain : Ring Theory -; Problem : Boolean rings are commutative -; Version : [MOW76] axioms : Augmented. -; English : Given a ring in which for all x, x * x = x, prove that for -; all x and y, x * y = y * x. - -; Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a -; : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; Source : [Ove90] -; Names : CADE-11 Competition 3 [Ove90] -; : THEOREM 3 [LM93] - -; Status : unsatisfiable -; Rating : 0.67 v2.2.0, 0.71 v2.1.0, 0.75 v2.0.0 -; Syntax : Number of clauses : 22 ( 0 non-Horn; 11 unit; 13 RR) -; Number of literals : 55 ( 2 equality) -; Maximal clause size : 5 ( 2 average) -; Number of predicates : 3 ( 0 propositional; 2-3 arity) -; Number of functors : 7 ( 4 constant; 0-2 arity) -; Number of variables : 74 ( 2 singleton) -; Maximal term depth : 2 ( 1 average) - -; Comments : Supplies multiplication to identity as lemmas -; : tptp2X -f kif -t rm_equality:rstfp RNG008-6.p -;-------------------------------------------------------------------------- -; additive_identity1, axiom. -(or (sum additive_identity ?A ?A)) - -; additive_identity2, axiom. -(or (sum ?A additive_identity ?A)) - -; closure_of_multiplication, axiom. -(or (product ?A ?B (multiply ?A ?B))) - -; closure_of_addition, axiom. -(or (sum ?A ?B (add ?A ?B))) - -; left_inverse, axiom. -(or (sum (additive_inverse ?A) ?A additive_identity)) - -; right_inverse, axiom. -(or (sum ?A (additive_inverse ?A) additive_identity)) - -; associativity_of_addition1, axiom. -(or (not (sum ?A ?B ?C)) - (not (sum ?B ?D ?E)) - (not (sum ?C ?D ?F)) - (sum ?A ?E ?F)) - -; associativity_of_addition2, axiom. -(or (not (sum ?A ?B ?C)) - (not (sum ?B ?D ?E)) - (not (sum ?A ?E ?F)) - (sum ?C ?D ?F)) - -; commutativity_of_addition, axiom. -(or (not (sum ?A ?B ?C)) - (sum ?B ?A ?C)) - -; associativity_of_multiplication1, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?B ?D ?E)) - (not (product ?C ?D ?F)) - (product ?A ?E ?F)) - -; associativity_of_multiplication2, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?B ?D ?E)) - (not (product ?A ?E ?F)) - (product ?C ?D ?F)) - -; distributivity1, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?A ?D ?E)) - (not (sum ?B ?D ?F)) - (not (product ?A ?F ?G)) - (sum ?C ?E ?G)) - -; distributivity2, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?A ?D ?E)) - (not (sum ?B ?D ?F)) - (not (sum ?C ?E ?G)) - (product ?A ?F ?G)) - -; distributivity3, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?D ?B ?E)) - (not (sum ?A ?D ?F)) - (not (product ?F ?B ?G)) - (sum ?C ?E ?G)) - -; distributivity4, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?D ?B ?E)) - (not (sum ?A ?D ?F)) - (not (sum ?C ?E ?G)) - (product ?F ?B ?G)) - -; addition_is_well_defined, axiom. -(or (not (sum ?A ?B ?C)) - (not (sum ?A ?B ?D)) - (= ?C ?D)) - -; multiplication_is_well_defined, axiom. -(or (not (product ?A ?B ?C)) - (not (product ?A ?B ?D)) - (= ?C ?D)) - -; x_times_identity_x_is_identity, axiom. -(or (product ?A additive_identity additive_identity)) - -; identity_times_x_is_identity, axiom. -(or (product additive_identity ?A additive_identity)) - -; x_squared_is_x, hypothesis. -(or (product ?A ?A ?A)) - -; a_times_b_is_c, hypothesis. -(or (product a b c)) - -; prove_b_times_a_is_c, conjecture. -(or (not (product b a c))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/RNG009-5+rm_eq_rstfp.kif b/snark-20120808r02/examples/RNG009-5+rm_eq_rstfp.kif deleted file mode 100644 index a15f09e..0000000 --- a/snark-20120808r02/examples/RNG009-5+rm_eq_rstfp.kif +++ /dev/null @@ -1,60 +0,0 @@ -;-------------------------------------------------------------------------- -; File : RNG009-5 : TPTP v2.2.0. Released v1.0.0. -; Domain : Ring Theory -; Problem : If X*X*X = X then the ring is commutative -; Version : [Peterson & Stickel,1981] (equality) axioms : -; Reduced > Incomplete. -; English : Given a ring in which for all x, x * x * x = x, prove that -; for all x and y, x * y = y * x. - -; Refs : [PS81] Peterson & Stickel (1981), Complete Sets of Reductions -; : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [Ove90] -; Names : CADE-11 Competition Eq-7 [Ove90] -; : THEOREM EQ-7 [LM93] -; : PROBLEM 7 [Zha93] - -; Status : unsatisfiable -; Rating : 0.67 v2.2.0, 0.71 v2.1.0, 1.00 v2.0.0 -; Syntax : Number of clauses : 9 ( 0 non-Horn; 9 unit; 1 RR) -; Number of literals : 9 ( 9 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 6 ( 3 constant; 0-2 arity) -; Number of variables : 17 ( 0 singleton) -; Maximal term depth : 3 ( 2 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp RNG009-5.p -;-------------------------------------------------------------------------- -; right_identity, axiom. -(or (= (add ?A additive_identity) ?A)) - -; right_additive_inverse, axiom. -(or (= (add ?A (additive_inverse ?A)) additive_identity)) - -; distribute1, axiom. -(or (= (multiply ?A (add ?B ?C)) (add (multiply ?A ?B) (multiply ?A ?C)))) - -; distribute2, axiom. -(or (= (multiply (add ?A ?B) ?C) (add (multiply ?A ?C) (multiply ?B ?C)))) - -; associative_addition, axiom. -(or (= (add (add ?A ?B) ?C) (add ?A (add ?B ?C)))) - -; commutative_addition, axiom. -(or (= (add ?A ?B) (add ?B ?A))) - -; associative_multiplication, axiom. -(or (= (multiply (multiply ?A ?B) ?C) (multiply ?A (multiply ?B ?C)))) - -; x_cubed_is_x, hypothesis. -(or (= (multiply ?A (multiply ?A ?A)) ?A)) - -; prove_commutativity, conjecture. -(or (/= (multiply a b) (multiply b a))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/RNG010-5+rm_eq_rstfp.kif b/snark-20120808r02/examples/RNG010-5+rm_eq_rstfp.kif deleted file mode 100644 index a2f2f71..0000000 --- a/snark-20120808r02/examples/RNG010-5+rm_eq_rstfp.kif +++ /dev/null @@ -1,117 +0,0 @@ -;-------------------------------------------------------------------------- -; File : RNG010-5 : TPTP v2.2.0. Released v1.0.0. -; Domain : Ring Theory (Right alternative) -; Problem : Skew symmetry of the auxilliary function -; Version : [Ove90] (equality) axioms : -; Incomplete > Augmented > Incomplete. -; English : The three Moufang identities imply the skew symmetry -; of s(W,X,Y,Z) = (W*X,Y,Z) - X*(W,Y,Z) - (X,Y,Z)*W. -; Recall that skew symmetry means that the function sign -; changes when any two arguments are swapped. This problem -; proves the case for swapping the first two arguments. - -; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [Ove90] -; Names : CADE-11 Competition Eq-9 [Ove90] -; : THEOREM EQ-9 [LM93] -; : PROBLEM 9 [Zha93] - -; Status : unknown -; Rating : 1.00 v2.0.0 -; Syntax : Number of clauses : 27 ( 0 non-Horn; 27 unit; 2 RR) -; Number of literals : 27 ( 27 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 11 ( 5 constant; 0-4 arity) -; Number of variables : 52 ( 2 singleton) -; Maximal term depth : 6 ( 2 average) - -; Comments : I copied this directly. I think the Moufang identities may -; be wrong. At least they're in another form. -; : tptp2X -f kif -t rm_equality:rstfp RNG010-5.p -;-------------------------------------------------------------------------- -; commutative_addition, axiom. -(or (= (add ?A ?B) (add ?B ?A))) - -; associative_addition, axiom. -(or (= (add (add ?A ?B) ?C) (add ?A (add ?B ?C)))) - -; right_identity, axiom. -(or (= (add ?A additive_identity) ?A)) - -; left_identity, axiom. -(or (= (add additive_identity ?A) ?A)) - -; right_additive_inverse, axiom. -(or (= (add ?A (additive_inverse ?A)) additive_identity)) - -; left_additive_inverse, axiom. -(or (= (add (additive_inverse ?A) ?A) additive_identity)) - -; additive_inverse_identity, axiom. -(or (= (additive_inverse additive_identity) additive_identity)) - -; property_of_inverse_and_add, axiom. -(or (= (add ?A (add (additive_inverse ?A) ?B)) ?B)) - -; distribute_additive_inverse, axiom. -(or (= (additive_inverse (add ?A ?B)) (add (additive_inverse ?A) (additive_inverse ?B)))) - -; additive_inverse_additive_inverse, axiom. -(or (= (additive_inverse (additive_inverse ?A)) ?A)) - -; multiply_additive_id1, axiom. -(or (= (multiply ?A additive_identity) additive_identity)) - -; multiply_additive_id2, axiom. -(or (= (multiply additive_identity ?A) additive_identity)) - -; product_of_inverse, axiom. -(or (= (multiply (additive_inverse ?A) (additive_inverse ?B)) (multiply ?A ?B))) - -; multiply_additive_inverse1, axiom. -(or (= (multiply ?A (additive_inverse ?B)) (additive_inverse (multiply ?A ?B)))) - -; multiply_additive_inverse2, axiom. -(or (= (multiply (additive_inverse ?A) ?B) (additive_inverse (multiply ?A ?B)))) - -; distribute1, axiom. -(or (= (multiply ?A (add ?B ?C)) (add (multiply ?A ?B) (multiply ?A ?C)))) - -; distribute2, axiom. -(or (= (multiply (add ?A ?B) ?C) (add (multiply ?A ?C) (multiply ?B ?C)))) - -; right_alternative, axiom. -(or (= (multiply (multiply ?A ?B) ?B) (multiply ?A (multiply ?B ?B)))) - -; associator, axiom. -(or (= (associator ?A ?B ?C) (add (multiply (multiply ?A ?B) ?C) (additive_inverse (multiply ?A (multiply ?B ?C)))))) - -; commutator, axiom. -(or (= (commutator ?A ?B) (add (multiply ?B ?A) (additive_inverse (multiply ?A ?B))))) - -; middle_associator, axiom. -(or (= (multiply (multiply (associator ?A ?A ?B) ?A) (associator ?A ?A ?B)) additive_identity)) - -; left_alternative, axiom. -(or (= (multiply (multiply ?A ?A) ?B) (multiply ?A (multiply ?A ?B)))) - -; defines_s, axiom. -(or (= (s ?A ?B ?C ?D) (add (add (associator (multiply ?A ?B) ?C ?D) (additive_inverse (multiply ?B (associator ?A ?C ?D)))) (additive_inverse (multiply (associator ?B ?C ?D) ?A))))) - -; right_moufang, hypothesis. -(or (= (multiply ?A (multiply ?B (multiply ?C ?B))) (multiply (commutator (multiply ?A ?B) ?C) ?B))) - -; left_moufang, hypothesis. -(or (= (multiply (multiply ?A (multiply ?B ?A)) ?C) (multiply ?A (commutator ?B (multiply ?A ?C))))) - -; middle_moufang, hypothesis. -(or (= (multiply (multiply ?A ?B) (multiply ?C ?A)) (multiply (multiply ?A (multiply ?B ?C)) ?A))) - -; prove_skew_symmetry, conjecture. -(or (/= (s a b c d) (additive_inverse (s b a c d)))) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/RNG011-5+rm_eq_rstfp.kif b/snark-20120808r02/examples/RNG011-5+rm_eq_rstfp.kif deleted file mode 100644 index 2f0e049..0000000 --- a/snark-20120808r02/examples/RNG011-5+rm_eq_rstfp.kif +++ /dev/null @@ -1,97 +0,0 @@ -;-------------------------------------------------------------------------- -; File : RNG011-5 : TPTP v2.2.0. Released v1.0.0. -; Domain : Ring Theory -; Problem : In a right alternative ring (((X,X,Y)*X)*(X,X,Y)) = Add Id -; Version : [Ove90] (equality) axioms : -; Incomplete > Augmented > Incomplete. -; English : - -; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [Ove90] -; Names : CADE-11 Competition Eq-10 [Ove90] -; : THEOREM EQ-10 [LM93] -; : PROBLEM 10 [Zha93] - -; Status : unsatisfiable -; Rating : 0.00 v2.0.0 -; Syntax : Number of clauses : 22 ( 0 non-Horn; 22 unit; 2 RR) -; Number of literals : 22 ( 22 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 8 ( 3 constant; 0-3 arity) -; Number of variables : 37 ( 2 singleton) -; Maximal term depth : 5 ( 2 average) - -; Comments : -; : tptp2X -f kif -t rm_equality:rstfp RNG011-5.p -;-------------------------------------------------------------------------- -; commutative_addition, axiom. -(or (= (add ?A ?B) (add ?B ?A))) - -; associative_addition, axiom. -(or (= (add (add ?A ?B) ?C) (add ?A (add ?B ?C)))) - -; right_identity, axiom. -(or (= (add ?A additive_identity) ?A)) - -; left_identity, axiom. -(or (= (add additive_identity ?A) ?A)) - -; right_additive_inverse, axiom. -(or (= (add ?A (additive_inverse ?A)) additive_identity)) - -; left_additive_inverse, axiom. -(or (= (add (additive_inverse ?A) ?A) additive_identity)) - -; additive_inverse_identity, axiom. -(or (= (additive_inverse additive_identity) additive_identity)) - -; property_of_inverse_and_add, axiom. -(or (= (add ?A (add (additive_inverse ?A) ?B)) ?B)) - -; distribute_additive_inverse, axiom. -(or (= (additive_inverse (add ?A ?B)) (add (additive_inverse ?A) (additive_inverse ?B)))) - -; additive_inverse_additive_inverse, axiom. -(or (= (additive_inverse (additive_inverse ?A)) ?A)) - -; multiply_additive_id1, axiom. -(or (= (multiply ?A additive_identity) additive_identity)) - -; multiply_additive_id2, axiom. -(or (= (multiply additive_identity ?A) additive_identity)) - -; product_of_inverse, axiom. -(or (= (multiply (additive_inverse ?A) (additive_inverse ?B)) (multiply ?A ?B))) - -; multiply_additive_inverse1, axiom. -(or (= (multiply ?A (additive_inverse ?B)) (additive_inverse (multiply ?A ?B)))) - -; multiply_additive_inverse2, axiom. -(or (= (multiply (additive_inverse ?A) ?B) (additive_inverse (multiply ?A ?B)))) - -; distribute1, axiom. -(or (= (multiply ?A (add ?B ?C)) (add (multiply ?A ?B) (multiply ?A ?C)))) - -; distribute2, axiom. -(or (= (multiply (add ?A ?B) ?C) (add (multiply ?A ?C) (multiply ?B ?C)))) - -; right_alternative, axiom. -(or (= (multiply (multiply ?A ?B) ?B) (multiply ?A (multiply ?B ?B)))) - -; associator, axiom. -(or (= (associator ?A ?B ?C) (add (multiply (multiply ?A ?B) ?C) (additive_inverse (multiply ?A (multiply ?B ?C)))))) - -; commutator, axiom. -(or (= (commutator ?A ?B) (add (multiply ?B ?A) (additive_inverse (multiply ?A ?B))))) - -; middle_associator, axiom. -(or (= (multiply (multiply (associator ?A ?A ?B) ?A) (associator ?A ?A ?B)) additive_identity)) - -; prove_equality, conjecture. -(or (/= (multiply (multiply (associator a a b) a) (associator a a b)) additive_identity)) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/ROB005-1+rm_eq_rstfp.kif b/snark-20120808r02/examples/ROB005-1+rm_eq_rstfp.kif deleted file mode 100644 index 2b70356..0000000 --- a/snark-20120808r02/examples/ROB005-1+rm_eq_rstfp.kif +++ /dev/null @@ -1,53 +0,0 @@ -;-------------------------------------------------------------------------- -; File : ROB005-1 : TPTP v2.2.0. Released v1.0.0. -; Domain : Robbins Algebra -; Problem : c + c=c => Boolean -; Version : [Win90] (equality) axioms. -; English : If there is an element c such that c+c=c, then the algebra -; is Boolean. - -; Refs : [HMT71] Henkin et al. (1971), Cylindrical Algebras -; : [Win90] Winker (1990), Robbins Algebra: Conditions that make a -; : [Ove90] Overbeek (1990), ATP competition announced at CADE-10 -; : [LW92] Lusk & Wos (1992), Benchmark Problems in Which Equalit -; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal -; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11 -; : [Zha93] Zhang (1993), Automated Proofs of Equality Problems in -; Source : [Ove90] -; Names : CADE-11 Competition Eq-2 [Ove90] -; : Lemma 2.4 [Win90] -; : RA3 [LW92] -; : THEOREM EQ-2 [LM93] -; : PROBLEM 2 [Zha93] -; : robbins.occ.in [OTTER] - -; Status : unsatisfiable -; Rating : 0.67 v2.2.0, 0.71 v2.1.0, 0.88 v2.0.0 -; Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 2 RR) -; Number of literals : 5 ( 5 equality) -; Maximal clause size : 1 ( 1 average) -; Number of predicates : 1 ( 0 propositional; 2-2 arity) -; Number of functors : 5 ( 3 constant; 0-2 arity) -; Number of variables : 7 ( 0 singleton) -; Maximal term depth : 6 ( 2 average) - -; Comments : Commutativity, associativity, and Huntington's axiom -; axiomatize Boolean algebra. -; : tptp2X -f kif -t rm_equality:rstfp ROB005-1.p -;-------------------------------------------------------------------------- -; commutativity_of_add, axiom. -(or (= (add ?A ?B) (add ?B ?A))) - -; associativity_of_add, axiom. -(or (= (add (add ?A ?B) ?C) (add ?A (add ?B ?C)))) - -; robbins_axiom, axiom. -(or (= (negate (add (negate (add ?A ?B)) (negate (add ?A (negate ?B))))) ?A)) - -; idempotence, hypothesis. -(or (= (add c c) c)) - -; prove_huntingtons_axiom, conjecture. -(or (/= (add (negate (add a (negate b))) (negate (add (negate a) (negate b)))) b)) - -;-------------------------------------------------------------------------- diff --git a/snark-20120808r02/examples/coder-examples.abcl b/snark-20120808r02/examples/coder-examples.abcl deleted file mode 100644 index 11cfa6c58fd8e2bc44c7047f808041adb25f2599..0000000000000000000000000000000000000000 GIT binary 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zZyB-^TOb}-U*7!Im*+3gp8daJ;EzWq{~8AV^z-LvaA~opKmB;9?62|4|L^kyY(x3` zr~eqX{3qe@{AB5k1Eq@Xo52$=fpanl&`-AYiCjKYk@%+N41QGCG><_~4 zdfK0a$0P2Z63pQLBK*D;|C8`|cG*)xAb6ke%=RXmT zeeItj_Hh43{O+3k6Y<#9`zeB$@NdLF!}770@l%8m$=`^7#^qx>*Qbao^1l)P49v$i zmQN99RDUD>8JUk=51%4AgpV9f)Xz3|pnE5Zn|E#zE46VmzJWmlnSpP=+Gddr8wLC?@ar}+=XLLR`^mvM( zZ^S>N^YL4cr-(a=zY+h8&d06ePZ6Cme2DWYBFZ^S>N^KrM!Q$(-E--v%k=i{RFQ^c^&--v%k=i`dhQ-rAD--v%k z=i?jcr-(AszY+h8&c}CBPZ6h. - -(in-package :snark-user) - -(defun coder-test () - (time (coder-overbeek6)) - (time (coder-ycl-rst)) - (time (coder-ycl-rst-together)) - (time (coder-veroff-5-2)) - (time (coder-veroff-4-1 :all-proofs t)) - (time (coder-ex7b)) - (time (coder-ex9 :max-syms 18 :max-vars 2)) - nil) - -(defun coder-xcb-reflex (&rest options) - ;; 10-step proof - ;; 11-step proof by (coder-xcb-reflex :max-syms 35) - ;; 13-step proof by (coder-xcb-reflex :max-syms 31) - (apply - 'coder - '((e ?x (e (e (e ?x ?y) (e ?z ?y)) ?z))) - '(e a a) - options)) - -(defun coder-overbeek6 (&rest options) - ;; 5-step proof - (apply - 'coder - '("i(a,i(b,a))" ;Prolog style with declared variables - "i(i(X,Y),i(i(Y,?z),i(X,?z)))" ;Prolog style with explicit variables (capitalized-or ?-prefix) - (i (i (i a b) b) (i (i b a) a)) ;Lisp style with declared variables - (i (i (n ?x) (n ?y)) (i ?y ?x))) ;Lisp style with explicit variables - "i(i(a,b),i(i(c,a),i(c,b)))" ;variable declarations don't apply to target - :variables '(a b c) - options)) - -(defun coder-overbeek4 (&rest options) - ;; 10-step proof - (apply - 'coder - '((e ?x (e (e ?y (e ?z ?x)) (e ?z ?y)))) - '(e (e (e a (e b c)) c) (e b a)) - options)) - -(defun coder-ycl-rst (&rest options) - ;; prove reflexivity (4-step proof), - ;; symmetry (5-step proof), - ;; and transitivity (6-step proof) from ycl - ;; coder searches until all have been found - (apply - 'coder - '((e (e ?x ?y) (e (e ?z ?y) (e ?x ?z)))) - '(and - (e a a) - (e (e a b) (e b a)) - (e (e a b) (e (e b c) (e a c)))) - options)) - -(defun coder-ycl-rst-together (&rest options) - ;; prove reflexivity, symmetry, and transitivity from ycl in a single derivation - ;; 9-step proof - (apply - 'coder - '((e (e ?x ?y) (e (e ?z ?y) (e ?x ?z)))) - '(together - (e a a) - (e (e a b) (e b a)) - (e (e a b) (e (e b c) (e a c)))) - options)) - -(defun coder-veroff-5-2 (&rest options) - ;; problem from - ;; Robert Veroff, "Finding Shortest Proofs: An Application of Linked Inference Rules", - ;; JAR 27,2 (August 2001), 123-129 - ;; 8-step proof - (apply - 'coder - '((i ?x (i ?y ?x)) - (i (i ?x (i ?y ?z)) (i (i ?x ?y) (i ?x ?z)))) - '(i (i a (i b c)) (i b (i a c))) - options)) - -(defun coder-veroff-4-1 (&rest options) - ;; converse (because there's a typo) of problem from - ;; Robert Veroff, "Finding Shortest Proofs: An Application of Linked Inference Rules", - ;; JAR 27,2 (August 2001), 123-129 - ;; 7 6-step proofs, just like Veroff reported - (apply - 'coder - '((i (i (i ?v1 ?v2) ?v3) (i (i ?v2 (i ?v3 ?v5)) (i ?v4 (i ?v2 ?v5))))) - '(i (i v2 (i v3 v5)) (i (i (i v1 v2) v3) (i v4 (i v2 v5)))) - options)) - -(defun ii-schema () - '(i ?x (i ?y ?x))) - -(defun id-schema () - '(i (i ?x (i ?y ?z)) (i (i ?x ?y) (i ?x ?z)))) - -(defun cr-schema1 () - '(i (i ?x (n ?y)) (i (i ?x ?y) (n ?x)))) - -(defun cr-schema2 () - '(i (i (n ?x) (n ?y)) (i (i (n ?x) ?y) ?x))) - -(defun eq-schema1 () - '(i (e ?x ?y) (i ?x ?y))) - -(defun eq-schema2 () - '(i (e ?x ?y) (i ?y ?x))) - -(defun eq-schema3 () - '(i (i ?x ?y) (i (i ?y ?x) (e ?y ?x)))) - -(defun or-schema () - '(e (o ?x ?y) (i (n ?x) ?y))) - -(defun and-schema () - '(e (a ?x ?y) (n (o (n ?x) (n ?y))))) - -(defun alt-and-schema () - '(e (a ?x ?y) (n (i ?x (n ?y))))) - -(defun coder-ex1 (&rest options) - ;; from Genesereth chapter 4 - ;; 3-step proof - (apply - 'coder - (list (ii-schema) - (id-schema) - '(i p q) - '(i q r)) - '(i p r) - options)) - -(defun coder-ex2 (&rest options) - ;; from Genesereth chapter 4 exercise - ;; 6-step proof - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - '(i p q) - '(i q r)) - '(i (i p (n r)) (n p)) - options)) - -(defun coder-ex3 (&rest options) - ;; from Genesereth chapter 4 exercise - ;; 5-step proof - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - '(n (n p))) - 'p - options)) - -(defun coder-ex4 (&rest options) - ;; 5-step proof - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - 'p) - '(n (n p)) - options)) - -(defun coder-ex5 (&rest options) - ;; 4-step proof - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - (eq-schema1) - (eq-schema2) - (eq-schema3)) - '(e p p) - options)) - -(defun coder-ex6 (&rest options) - ;; 4-step proof - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - (eq-schema1) - (eq-schema2) - (eq-schema3) - '(e p q)) - '(e q p) - options)) - -(defun coder-ex6a (&rest options) - ;; 5-step proof - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - (eq-schema1) - (eq-schema2) - (eq-schema3)) - '(i (e p q) (e q p)) - options)) - -(defun coder-ex6b (&rest options) - ;; 7-step proof - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - (eq-schema1) - (eq-schema2) - (eq-schema3)) - '(e (e p q) (e q p)) - options)) - -(defun coder-ex7a () - ;; 5-step proof, 5-step proof, 2-step proof - (coder (list (ii-schema) - (id-schema) - (eq-schema1) - (eq-schema2) - (eq-schema3) - '(e p q) - '(e q r)) - '(i p r) - :must-use '(6 7)) - (coder (list (ii-schema) - (id-schema) - (eq-schema1) - (eq-schema2) - (eq-schema3) - '(e p q) - '(e q r)) - '(i r p) - :must-use '(6 7)) - (coder (list (ii-schema) - (id-schema) - (eq-schema1) - (eq-schema2) - (eq-schema3) - '(i p r) - '(i r p)) - '(e p r) - :must-use '(6 7))) - -(defun coder-ex7b () - ;; 12-step proof - (coder (list (ii-schema) - (id-schema) - (eq-schema1) - (eq-schema2) - (eq-schema3) - '(e p q) - '(e q r)) - '(together (e p r) (i p q) (i q r) (i p r) (i r q) (i q p) (i r p)) - :must-use t - :max-syms 7)) - -(defun coder-ex8 (&rest options) - ;; 3-step proof - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - (eq-schema1) - (eq-schema2) - (eq-schema3) - (or-schema) - 'q) - '(o p q) - options)) - -(defun coder-ex9 (&rest options) - ;; no 1,...,8-step proof - ;; 9-step proof by (coder-ex9 :max-syms 18 :max-vars 2) - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - (eq-schema1) - (eq-schema2) - (eq-schema3) - (or-schema) - 'p) - '(o p q) - options)) - -(defun coder-ex10 (&rest options) - ;; no 1,...,8-step proof - ;; 13-step proof by (coder-ex10 :max-syms 18 :max-vars 2 :must-use '(1 2 3 4 5 6 8 9 10 11)) - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - (eq-schema1) - (eq-schema2) - (eq-schema3) - (or-schema) - (and-schema) - 'p - 'q) - '(a p q) - options)) - -(defun coder-ex11 (&rest options) - ;; no 1,...,8-step proof - ;; 9-step proof by (coder-ex11 :max-syms 16 :max-vars 2) - (apply - 'coder - (list (ii-schema) - (id-schema) - (cr-schema1) - (cr-schema2) - (eq-schema1) - (eq-schema2) - (eq-schema3) - (alt-and-schema) - 'p - 'q) - '(a p q) - options)) - -;;; 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-*- Mode: Lisp; Syntax: Common-Lisp; Package: snark-user -*- -;;; File: front-last-example.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2002. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-user) - -;;; Let L be a nonempty list. -;;; Synthesize a program to compute the FRONT and LAST -;;; of the list where LAST of a list is its last element -;;; and FRONT is the list of all elements except the last. -;;; -;;; The program specification is -;;; (EXISTS (Y Z) (= L (APPEND Y (CONS Z NIL)))) -;;; i.e., find Y and Z such that L can be formed by -;;; appending Y (the FRONT of L) and a single element list -;;; containing Z (the LAST of L). -;;; -;;; The appropriate inductive axiom is given explicitly in the axiom -;;; named induction. -;;; -;;; Necessary properties of APPEND, CONS, HEAD, and TAIL are given -;;; in the axioms named append-nil, append-cons, and cons-definition. -;;; -;;; A proof of the query is found and the program -;;; defined by the values found for variables Y and Z -;;; in the specification. -;;; -;;; Resolution and paramodulation (for equality) are the inference -;;; rules used. - -(defun front-last-example () - ;; Waldinger program synthesis example 1989-12-14 - (initialize) - (use-resolution) - (use-paramodulation) - (use-literal-ordering-with-resolution 'literal-ordering-p) - (use-literal-ordering-with-paramodulation 'literal-ordering-p) - (use-conditional-answer-creation) - (declare-constant 'nil) - (declare-constant 'l) - (declare-function 'head 1) - (declare-function 'tail 1) - (declare-function 'cons 2) - (declare-function 'append 2) - (declare-function 'front 1) - (declare-function 'last 1) - (declare-ordering-greaterp 'l 'nil) - (declare-ordering-greaterp 'head 'l) - (declare-ordering-greaterp 'tail 'l) - (declare-ordering-greaterp 'cons 'head) - (declare-ordering-greaterp 'cons 'tail) - (declare-ordering-greaterp 'append 'cons) -;;(assert '(forall (x) (= x x))) - (assert '(/= l nil) - :name 'l-nonempty) - (assert '(implies (and (/= l nil) (/= (tail l) nil)) - (= (tail l) (append (front (tail l)) (cons (last (tail l)) nil)))) - :name 'induction) - (assert '(forall (u) (= (append nil u) u)) - :name 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z%U!7|=%~h6KzE|l(^k%z}Z5EUB}7LfGek+uc`q|@x`iTj8+Qj;ZVo@Oo^7@(X zipQ6I_VaL3F!8`;#(13%+)pAEN+G~&e!rl1Fn>XCfKH3TNvh4l(c-OF0GwkrQN)AQ zwj|HZ^++6|4&FA{(pk}RWvBe!NUCsBf{^C;&=6NOaABWe*tlAjidko diff --git a/snark-20120808r02/examples/hot-drink-example.lisp b/snark-20120808r02/examples/hot-drink-example.lisp deleted file mode 100644 index 75d9566..0000000 --- a/snark-20120808r02/examples/hot-drink-example.lisp +++ /dev/null @@ -1,130 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark-user -*- -;;; File: hot-drink-example.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2005. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-user) - -;;; this is a simple example of one way of implementing partitions in SNARK -;;; rows are annotated with the partitions they're in and inferences are -;;; restricted to rows in the same partitions -;;; -;;; a partition communication table is used to augment the annotation -;;; of derived rows in case the row should be included in a neighboring -;;; partition too -;;; -;;; the partition communication table computation is invoked by including -;;; it as a pruning test -;;; -;;; this code is more illustrative than definitive - -;;; partition communication table is a set of triples -;;; (from-partition to-partition relation-names) like -;;; (1 2 (water)) -;;; (2 3 (steam)) - -(defun row-predicate-names (row) - (row-relation-names row)) - -(defun row-relation-names (row) - ;; returns list of relation names in formula part - ;; (but not answer, constraint, etc. parts) of a row - (let ((names nil)) - (prog-> - (snark::map-atoms-in-wff (row-wff row) ->* atom polarity) - (declare (ignore polarity)) - (dereference - atom nil - :if-constant (pushnew (constant-name atom) names) - :if-compound (pushnew (function-name (head atom)) names))) - names)) - -(defun partition-communication (row) - ;; could try to refine the context for added partitions - (when (use-partitions?) - (let ((table (partition-communication-table?)) - (preds (row-relation-names row)) - (context (snark::row-context row)) - (more-context nil)) - (flet ((message-passing-from (x) - (prog-> - (car x -> part1) - (sparse-matrix-row table part1 ->nonnil row) - (cdr x -> ctxt1) - (map-sparse-vector-with-indexes row ->* preds2 part2) - (when (and (null (assoc part2 context)) - (null (assoc part2 more-context)) - (subsetp preds preds2)) - (push (cons part2 ctxt1) more-context) - nil)))) - (mapc #'message-passing-from context) - (do () - ((null more-context)) - (push (pop more-context) context) - (message-passing-from (first context))) - (setf (snark::row-context row) context)))) - nil) - -(defun hot-drink-example (&key (use-partitions t) (use-ordering nil)) - ;; Amir & McIlraith partition-based reasoning example - (initialize) - (when use-partitions - (use-partitions '(1 2 3)) - (partition-communication-table - (let ((pct (make-sparse-matrix))) - (setf (sparef pct 1 2) '(water) - (sparef pct 2 3) '(steam)) - pct)) - (pruning-tests (append (pruning-tests?) '(partition-communication)))) - (cond - (use-ordering - (use-resolution t) - (use-literal-ordering-with-resolution 'literal-ordering-a) - (declare-proposition 'ok_pump) - (declare-proposition 'on_pump) - (declare-proposition 'man_fill) - (declare-proposition 'water) - (declare-proposition 'ok_boiler) - (declare-proposition 'on_boiler) - (declare-proposition 'steam) - (declare-proposition 'coffee) - (declare-proposition 'hot_drink) - (declare-ordering-greaterp '(ok_pump on_pump man_fill) 'water) - (declare-ordering-greaterp '(water ok_boiler on_boiler) 'steam) - (declare-ordering-greaterp 'coffee 'hot_drink)) - (t - (use-hyperresolution t))) - (dolist (wff '((or (not ok_pump) (not on_pump) water) - (or (not man_fill) water) - (or (not man_fill) (not on_pump)) - (or man_fill on_pump))) - (assert wff :partitions '(1))) - (dolist (wff '((or (not water) (not ok_boiler) (not on_boiler) steam) - (or water (not steam)) - (or ok_boiler (not steam)) - (or on_boiler (not steam)))) - (assert wff :partitions '(2))) - (dolist (wff '((or (not steam) (not coffee) hot_drink) - (or coffee teabag) - (or (not steam) (not teabag) hot_drink))) - (assert wff :partitions '(3))) - (assume 'ok_pump :partitions '(1)) - (assume 'ok_boiler :partitions '(2)) - (assume 'on_boiler :partitions '(2)) - (closure)) - -;;; hot-drink-example.lisp EOF diff --git a/snark-20120808r02/examples/latin-squares.abcl b/snark-20120808r02/examples/latin-squares.abcl deleted file mode 100644 index 6170a397d4f1232a1593cf3b47910f40ab7dca64..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 16909 zcmd_RRaBhov+j$#d*klzPH=a3cXxMp*Wm8%5~Oj5;2I!UAOwQ@$;{e&tU2>vdyg^C z)fwY_ebasM{rcv4tKO=5N=X(R0s{mF1_op!BTO3PZx8aX?{>y+)(#A=&hEx8=B|u} zWhsWKi_91!yN?*2ljABDBC?=W+=6DrMilnl($&CJRg#wC`R3E+rz`o#GY>O~tGeub z-?<;T!#?np;l$IKHZX4Lc2gzlwlQ5v#WPjvl_>{OZ!#SLiy<)aD7gkr?jrEv_JC%@zz^cNhB*Rdx`W|o7H+4=DeX4y9vJZ|F<6r?n5mt+I$S(p- zxYJ!(4gq#cnLb`+iz+L1aW-l=+)M_Ep+p)j-faCR(S&V1;@cO*Ee-&aG#(pkB#>3D 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contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2006. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-user) - -(defun latin-square-clauses (order &key clause-set (standard t) &allow-other-keys) - (let ((n-1 (- order 1))) - ;; row, column, and values are numbered in [0,...,order-1] - (unless clause-set - (setf clause-set (make-dp-clause-set))) - (dp-insert-wff `(forall ((i :in (ints 0 ,n-1)) (j :in (ints 0 ,n-1))) (exists ((k :in (ints 0 ,n-1))) (p i j k))) clause-set) - (dp-insert-wff `(forall ((i :in (ints 0 ,n-1)) (k :in (ints 0 ,n-1))) (exists ((j :in (ints 0 ,n-1))) (p i j k))) clause-set) - (dp-insert-wff `(forall ((j :in (ints 0 ,n-1)) (k :in (ints 0 ,n-1))) (exists ((i :in (ints 0 ,n-1))) (p i j k))) clause-set) - (dp-insert-wff `(forall ((i :in (ints 0 ,n-1)) - (j :in (ints 0 ,n-1)) - (k :in (ints 1 ,n-1)) - (l :in (ints 0 (- k 1)))) - (and - (or (not (p i j l)) (not (p i j k))) - (or (not (p i l j)) (not (p i k j))) - (or (not (p l i j)) (not (p k i j))))) - clause-set) - (when standard - ;; fix first row and column for standard form - (dp-insert-wff `(forall ((j :in (ints 0 ,n-1))) (p 0 j j)) clause-set) - (dp-insert-wff `(forall ((i :in (ints 0 ,n-1))) (p i 0 i)) clause-set)) - clause-set)) - -(defun model-to-latin-square (atoms &optional order) - ;; convert list of p atoms to sequence of sequences representation of latin square - (unless order - (let ((n 0)) ;find its order - (dolist (atom atoms) - (when (and (consp atom) (eq 'p (first atom))) - (dolist (k (rest atom)) - (when (> k n) - (setf n k))))) - (setf order (+ n 1)))) - (let ((ls (make-array order))) - (dotimes (i order) - (setf (aref ls i) (make-array order :initial-element nil))) - (dolist (atom atoms) - (when (and (consp atom) (eq 'p (first atom))) - (let ((i (second atom)) - (j (third atom)) - (k (fourth atom))) - (cl:assert (null (aref (aref ls i) j))) - (setf (aref (aref ls i) j) k)))) - ls)) - -(defun generate-latin-squares (order &rest options &key (apply nil) (time t) &allow-other-keys) - (let (clause-set) - (flet ((make-clause-set () - (setf clause-set (apply #'latin-square-clauses order options))) - (generate () - (dp-satisfiable-p clause-set - :find-all-models -1 - :model-test-function (and apply (lambda (model) (funcall apply (model-to-latin-square model order)) t)) - :trace-choices nil))) - (if time (time (make-clause-set)) (make-clause-set)) - (if time (time (generate)) (generate))))) - -(defun print-latin-square (ls) - (map nil (lambda (row) (format t "~%") (map nil (lambda (v) (format t "~3@A" v)) row)) ls) - ls) - -(defun latin-square-conjugate (ls conjugate) - (let* ((order (length ls)) - (ls* (make-array order))) - (dotimes (i order) - (setf (elt ls* i) (make-array order :initial-element nil))) - (dotimes (i order) - (dotimes (j order) - (let ((k (elt (elt ls i) j))) - (ecase conjugate - (132 - (setf (elt (elt ls* i) k) j)) - (213 - (setf (elt (elt ls* j) i) k)) - (231 - (setf (elt (elt ls* j) k) i)) - ((312 column) - (setf (elt (elt ls* k) i) j)) - ((321 row) - (setf (elt (elt ls* k) j) i)) - (123 ;makes copy of ls - (setf (elt (elt ls* i) j) k)))))) - ls*)) - -(defun latin-square-standard-form (ls) - (let* ((order (length ls)) - (ls* (make-array order))) - (dotimes (i order) - (setf (elt ls* i) (make-array order :initial-element nil))) - ;; renumber entries so first row is 0,...,order-1 - (let ((row0 (elt ls 0))) - (dotimes (i order) - (let ((rowi (elt ls i)) - (rowi* (elt ls* i))) - (dotimes (j order) - (setf (elt rowi* j) (position (elt rowi j) row0)))))) - ;; sort rows so that first column is 0,...,order-1 - (sort ls* #'< :key (lambda (x) (elt x 0))))) - -;;; latin-squares.lisp EOF diff --git a/snark-20120808r02/examples/overbeek-test.abcl b/snark-20120808r02/examples/overbeek-test.abcl deleted file mode 100644 index 5d68af1caeaf62cddd75390ebb24b59918aff6b1..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 27509 zcmb5VWo#Vb)^3?NX1AG{nVBJGW@ct)PE2iPW@cu_c1$rdV;nOxk8{4OJ6AKKkxu<+ z)vuCTde>h2*|kei<{LQL7iehcFRLlRQeXa$3-R;b!QIT+*v!m^-qp;-mBAo8Y0V*% 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License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2008. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-user) - -(defun overbeek-test (&key (verbose t)) - #+Symbolics (zl:print-herald) - (let ((p1 (default-print-rows-when-given?)) - (p2 (default-print-rows-when-derived?)) - (p3 (default-print-rows-prettily?)) - (p4 (default-print-final-rows?)) - (p5 (default-print-options-when-starting?)) - (p6 (default-print-assertion-analysis-notes?)) - (p7 (default-print-term-memory-when-finished?)) - (p8 (default-print-agenda-when-finished?))) - (unwind-protect - (let ((total-seconds 0.0)) - (dolist (x '( - ;; (print-rows-when-given print-rows-when-derived print-wffs-when-done problem-name) - (t t nil overbeek1) - (t t nil overbeek1e) - (t t nil overbeek3e) - (t t nil overbeek6) - (t t nil overbeek2e) - (t :signal nil overbeek2) - (t t nil overbeek4e) - (t t nil overbeek3) - (t t nil overbeek7e) - (t :signal nil overbeek7) - (t :signal nil overbeek4) - (t :signal nil overbeek5e) - (t :signal nil overbeek6e) - (t :signal nil overbeek5) - (t :signal nil overbeek6-1) - (t :signal nil overbeek4-1) -;; (t t nil overbeek5-1) -;; (t t nil overbeek7-1) -;; (t t nil overbeek7e-1) - ;;overbeek8e - ;;overbeek9e - ;;overbeek10e - )) - (dotimes (i 3) (terpri)) - (let ((#-symbolics *break-on-signals* #+symbolics conditions::*break-on-signals* nil) - (snark::critique-options t)) - (default-print-rows-when-given (and verbose (first x))) - (default-print-rows-when-derived (and verbose (second x))) - (default-print-row-wffs-prettily nil) - (unless verbose - (default-print-final-rows nil) - (default-print-options-when-starting nil) - (default-print-assertion-analysis-notes nil) - (default-print-term-memory-when-finished nil) - (default-print-agenda-when-finished nil)) - (funcall (print (fourth x)))) - (incf total-seconds snark-lisp::*total-seconds*) - (when (third x) - (terpri) - (print-rows :ancestry t)) - (prin1 (fourth x)) - (terpri)) - (format t "~%OVERBEEK-TEST Total = ~D seconds" (round total-seconds))) - (default-print-rows-when-given p1) - (default-print-rows-when-derived p2) - (default-print-row-wffs-prettily p3) - (default-print-final-rows p4) - (default-print-options-when-starting p5) - (default-print-assertion-analysis-notes p6) - (default-print-term-memory-when-finished p7) - (default-print-agenda-when-finished p8) - nil))) - -(defun refute-snark-example-file (name options &key format) - (refute-file - (make-pathname :directory (append (pathname-directory cl-user::*snark-system-pathname*) (list "examples")) - :name name - :type (case format (:tptp "tptp") (otherwise "kif"))) - :options options - :format format - :ignore-errors nil - :verbose t - :output-file nil - :package :snark-user)) - -(defun overbeek1 () - (refute-snark-example-file - "GRP001-1+rm_eq_rstfp" - '(;;(agenda-ordering-function #'fifo) - ;;(row-weight-limit 4) ;4 is minimum value for which proof can be found - (declare-constant 'e :alias 'identity) - (declare-constant 'a) - (declare-constant 'b) - (declare-constant 'c) - (declare-function 'f 2 :alias 'multiply :ordering-status :left-to-right) - (declare-function 'g 1 :alias 'inverse :kbo-weight 0) - (declare-relation 'p 3 :alias 'product) - (ordering-functions>constants t) - (declare-ordering-greaterp 'g 'f 'c 'b 'a 'e) - (use-hyperresolution t) - (use-term-ordering :kbo)))) - -(defun overbeek2 () - (refute-snark-example-file - "GRP002-1+rm_eq_rstfp" - '(;;(ROW-WEIGHT-LIMIT 9) - (declare-constant 'e :alias 'identity) - (declare-constant 'a) - (declare-constant 'b) - (declare-constant 'c) - (declare-constant 'd) - (declare-constant 'h) - (declare-constant 'j) - (declare-constant 'k) - (declare-function 'f 2 :alias 'multiply) - (declare-function 'g 1 :alias 'inverse :kbo-weight '(1 2)) - (declare-relation 'p 3 :alias 'product) - (ordering-functions>constants t) - (declare-ordering-greaterp 'g 'f 'k 'j 'h 'd 'c 'b 'a 'e) - (use-hyperresolution t) - (use-term-ordering :kbo)))) - -(defun overbeek3 () - (refute-snark-example-file - "RNG008-6+rm_eq_rstfp" - '(;;(agenda-ordering-function #'fifo) - ;;(row-weight-limit 8) ;8 is minimum value for which proof can be found - (declare-constant 'zero :alias 'additive_identity) - (declare-constant 'a) - (declare-constant 'b) - (declare-constant 'c) - (declare-function 'j 2 :alias 'add :ordering-status :left-to-right) - (declare-function 'f 2 :alias 'multiply :ordering-status :left-to-right) - (declare-function 'g 1 :alias 'additive_inverse :kbo-weight 0) - (declare-relation 's 3 :alias 'sum) - (declare-relation 'p 3 :alias 'product) - (ordering-functions>constants t) - (declare-ordering-greaterp 'g 'f 'j 'c 'b 'a 'zero) - (use-hyperresolution t) - (use-term-ordering :kbo)))) - -(defun overbeek4 () - (refute-snark-example-file - "LCL024-1+rm_eq_rstfp" - '((declare-relation 'p 1 :alias 'is_a_theorem) - (declare-function 'e 2 :alias 'equivalent) - (use-hyperresolution t)))) - -(defun overbeek5 () - (refute-snark-example-file - "LCL038-1+rm_eq_rstfp" - '((declare-relation 'p 1 :alias 'is_a_theorem) - (declare-function 'i 2 :alias 'implies) - (use-hyperresolution t)))) - -(defun overbeek6 () - (refute-snark-example-file - "LCL111-1" - '((declare-relation 'p 1 :alias '|is_a_theorem|) - (declare-function 'i 2 :alias '|implies|) - (declare-function 'n 1 :alias '|not|) - ;;(agenda-ordering-function #'fifo) ;very fast with fifo ordering - (use-hyperresolution t) - (level-pref-for-giving 1)) - :format :tptp)) - -(defun overbeek7 () - (refute-snark-example-file - "LCL114-1+rm_eq_rstfp" - '((declare-relation 'p 1 :alias 'is_a_theorem) - (declare-function 'i 2 :alias 'implies) - (declare-function 'n 1 :alias 'not) - (use-hyperresolution t) - (level-pref-for-giving 1)))) - -(defun overbeek4-1 () - (refute-snark-example-file - "LCL024-1+rm_eq_rstfp" - '((declare-relation 'p 1 :alias 'is_a_theorem) - (declare-function 'e 2 :alias 'equivalent) - (use-resolution t) - (use-literal-ordering-with-resolution 'literal-ordering-a)))) - -(defun overbeek5-1 () - (refute-snark-example-file - "LCL038-1+rm_eq_rstfp" - '((declare-relation 'p 1 :alias 'is_a_theorem) - (declare-function 'i 2 :alias 'implies) - (use-resolution t) - (use-literal-ordering-with-resolution 'literal-ordering-a)))) - -(defun overbeek6-1 () - (refute-snark-example-file - "LCL111-1" - '((declare-relation 'p 1 :alias '|is_a_theorem|) - (declare-function 'i 2 :alias '|implies|) - (declare-function 'n 1 :alias '|not|) - (use-resolution t) - (assert-context :current) - (use-literal-ordering-with-resolution 'literal-ordering-a) - (level-pref-for-giving 1)) - :format :tptp)) - -(defun overbeek7-1 () - (refute-snark-example-file - "LCL114-1+rm_eq_rstfp" - '((declare-relation 'p 1 :alias 'is_a_theorem) - (declare-function 'i 2 :alias 'implies) - (declare-function 'n 1 :alias 'not) - (use-resolution t) - (use-literal-ordering-with-resolution 'literal-ordering-a) - (level-pref-for-giving 1)))) - -(defun overbeek1e () - (refute-snark-example-file - "GRP002-3+rm_eq_rstfp" - '((declare-constant 'e :alias 'identity) - (declare-constant 'a) - (declare-constant 'b) - (declare-function 'f 2 :alias 'multiply :ordering-status :left-to-right) - (declare-function 'g 1 :alias 'inverse :kbo-weight '(1 2)) - (declare-function 'h 2 :alias 'commutator :kbo-weight '(5 3 3) :ordering-status :left-to-right) - (ordering-functions>constants t) - (declare-ordering-greaterp 'h 'g 'f 'b 'a 'e) - (use-paramodulation t) - (use-term-ordering :kbo)))) - -(defun overbeek2e () - (refute-snark-example-file - "ROB005-1+rm_eq_rstfp" - '((declare-constant 'a) - (declare-constant 'b) - (declare-constant 'c) - (declare-function 'o 2 :alias 'add) - (declare-function 'n 1 :alias 'negate) - (ordering-functions>constants t) - (declare-ordering-greaterp 'n 'o 'a 'b 'c) - (use-paramodulation t)))) - -(defun overbeek3e () - (refute-snark-example-file - "BOO002-1+rm_eq_rstfp" - '(;;(agenda-ordering-function #'fifo) - ;;(row-weight-limit 15) ;15 is minimum value for which proof can be found - (declare-function 'f 3 :alias 'multiply :ORDERING-STATUS :RIGHT-TO-LEFT) - (declare-function 'g 1 :alias 'inverse) - (declare-constant 'a) - (declare-constant 'b) - (declare-ordering-greaterp 'b 'a 'g 'f) - (use-paramodulation t) - (use-term-ordering :kbo)))) - -(defun overbeek4e () - (refute-snark-example-file - "GRP014-1+rm_eq_rstfp" - '((declare-constant 'a) - (declare-constant 'b) - (declare-constant 'c) - (declare-function 'f 2 :alias 'multiply :ordering-status :left-to-right) - (declare-function 'i 1 :alias 'inverse :kbo-weight 0) - (ordering-functions>constants t) - (declare-ordering-greaterp 'i 'f 'c 'b 'a) - (use-paramodulation t) - (use-term-ordering :kbo) ;KBO better than RPO 4/20/92 - ;;(use-function-creation t) ;constant-creation only, insert new symbols into KB ordering - ))) - -(defun overbeek5e () - (refute-snark-example-file - "LCL109-2+rm_eq_rstfp" - '(;;(ROW-WEIGHT-LIMIT 21) ;21 works, think 19 will too - (declare-function 'i 2 :alias 'implies #| :ordering-status :left-to-right |#) - (declare-function 'n 1 :alias 'not) - (declare-constant 'a) - (declare-constant 'b) - (declare-constant 't :alias 'true0) - (ordering-functions>constants t) - (declare-ordering-greaterp 'i 'n 'a 'b 't) - (use-paramodulation t)))) - -(defun overbeek6e () - (refute-snark-example-file - "COL049-1+rm_eq_rstfp" - '(;;(row-weight-limit 21) ;don't know what value works (19 doesn't) - (declare-function 'a 2 :alias 'apply :ordering-status :left-to-right) - (declare-function 'f 1 :weight-code (list (constantly 1))) - (declare-constant 'b) - (declare-constant 'm) - (declare-constant 'w) - (ordering-functions>constants t) - (declare-ordering-greaterp 'a 'f 'b 'w 'm) - (use-paramodulation t)))) - -(defun overbeek7e () - (refute-snark-example-file - "RNG009-5+rm_eq_rstfp" - '((row-weight-before-simplification-limit 100) - (row-weight-limit 50) - (declare-constant 'zero :alias 'additive_identity) - (declare-function '* 2 :alias 'multiply :ordering-status :left-to-right) - (declare-function '- 1 :alias 'additive_inverse) - (declare-function '+ 2 :alias 'add) - (ordering-functions>constants t) - (declare-ordering-greaterp '* '- '+ 'zero) - (DECLARE-CANCELLATION-LAW '= '+ 'zero) - (use-paramodulation t)))) - -(defun overbeek7e-1 () - (refute-snark-example-file - "RNG009-5+rm_eq_rstfp" - '((row-weight-before-simplification-limit 100) - (row-weight-limit 50) - (declare-constant 'zero :alias 'additive_identity) - (declare-function '* 2 :alias 'multiply :ordering-status :left-to-right) - (declare-function '- 1 :alias 'additive_inverse) - (declare-function '+ 2 :alias 'add) - (ordering-functions>constants t) - (declare-ordering-greaterp '* '- '+ 'zero) - (DECLARE-CANCELLATION-LAW '= '+ 'zero) - (use-paramodulation t) - (use-associative-unification t)))) - -(defun overbeek8e () - (refute-snark-example-file - "COL003-1+rm_eq_rstfp" - '((declare-function 'a 2 :alias 'apply :ordering-status :left-to-right) - (declare-function 'f 1 :weight-code (list (constantly 1))) - (declare-constant 'b) - (declare-constant 'w) - (ordering-functions>constants t) - (declare-ordering-greaterp 'a 'f 'b 'w) - (use-paramodulation t)))) - -(defun overbeek9e () - (refute-snark-example-file - "RNG010-5+rm_eq_rstfp" - '((use-paramodulation t)))) - -(defun overbeek10e () - (refute-snark-example-file - "RNG011-5+rm_eq_rstfp" - '((use-paramodulation t)))) - -;;; overbeek-test.lisp EOF diff --git a/snark-20120808r02/examples/ramsey-examples.lisp b/snark-20120808r02/examples/ramsey-examples.lisp deleted file mode 100644 index ffd551c..0000000 --- a/snark-20120808r02/examples/ramsey-examples.lisp +++ /dev/null @@ -1,191 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark-user -*- -;;; File: ramsey-examples.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2006. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-user) - -;;; see http://mathworld.wolfram.com/RamseyNumber.html -;;; for Ramsey Number definition and results -;;; -;;; r( 3, 3) = 6 done -;;; r( 3, 4) = 9 done -;;; r( 3, 5) = 14 done -;;; r( 3, 6) = 18 -;;; r( 3, 7) = 23 -;;; r( 3, 8) = 28 -;;; r( 3, 9) = 36 -;;; r( 3,10) in [40,43] -;;; r( 4, 4) = 18 -;;; r( 4, 5) = 25 -;;; r( 4, 6) in [35,41] -;;; r( 5, 5) in [43,49] -;;; r( 6, 6) in [102,165] - -(defun ramsey-3-3 (n) - ;; results: found to be satisfiable for n=5, unsatisfiable for n=6 (should be unsatisfiable iff n>=6) - (let ((clause-set (make-dp-clause-set))) - (no-clique-of-order-3 n clause-set) - (no-independent-set-of-order-3 n clause-set) - (dp-satisfiable-p clause-set :atom-choice-function #'choose-an-atom-of-a-shortest-clause))) - -(defun ramsey-3-4 (n) - ;; results: found to be satisfiable for n=8, unsatisfiable for n=9 (should be unsatisfiable iff n>=9) - (let ((clause-set (make-dp-clause-set))) - (no-clique-of-order-3 n clause-set) - (no-independent-set-of-order-4 n clause-set) - (dp-satisfiable-p clause-set :atom-choice-function #'choose-an-atom-of-a-shortest-clause))) - -(defun ramsey-3-5 (n) - ;; results: found to be satisfiable for n=13, unsatisfiable for n=14 (should be unsatisfiable iff n>=14) - (let ((clause-set (make-dp-clause-set))) - (no-clique-of-order-3 n clause-set) - (no-independent-set-of-order-5 n clause-set) - (dp-satisfiable-p clause-set :atom-choice-function #'choose-an-atom-of-a-shortest-clause))) - -(defun ramsey-3-6 (n) - ;; results: found to be satisfiable for n=17, unsatisfiable for n=?? (should be unsatisfiable iff n>=18) - (let ((clause-set (make-dp-clause-set))) - (no-clique-of-order-3 n clause-set) - (no-independent-set-of-order-6 n clause-set) - (dp-satisfiable-p clause-set :atom-choice-function #'choose-an-atom-of-a-shortest-clause))) - -(defun ramsey-4-4 (n) - ;; results: found to be satisfiable for n=17, unsatisfiable for n=?? (should be unsatisfiable iff n>=18) - (let ((clause-set (make-dp-clause-set))) - (no-clique-of-order-4 n clause-set) - (no-independent-set-of-order-4 n clause-set) - (dp-satisfiable-p clause-set :atom-choice-function #'choose-an-atom-of-a-shortest-clause))) - -(defun ramsey-4-5 (n) - ;; results: found to be satisfiable for n=23, unsatisfiable for n=?? (should be unsatisfiable iff n>=25) - (let ((clause-set (make-dp-clause-set))) - (no-clique-of-order-4 n clause-set) - (no-independent-set-of-order-5 n clause-set) - (dp-satisfiable-p clause-set :atom-choice-function #'choose-an-atom-of-a-shortest-clause-WITH-MOST-OCCURRENCES-RANDOMLY))) - -(defun ramsey-4-6 (n) - ;; results: found to be satisfiable for n=29, unsatisfiable for n=?? - (let ((clause-set (make-dp-clause-set))) - (no-clique-of-order-4 n clause-set) - (no-independent-set-of-order-6 n clause-set) - (dp-satisfiable-p clause-set :atom-choice-function #'choose-an-atom-of-a-shortest-clause-WITH-MOST-OCCURRENCES-RANDOMLY))) - -(defun no-clique-of-order-3 (nnodes clause-set) - ;; in every 3 node subset, at least one pair is not connected - (dp-insert-wff `(forall ((i :in (ints 1 ,nnodes)) - (j :in (ints i ,nnodes) :except i) - (k :in (ints j ,nnodes) :except j)) - (or (not (c i j)) (not (c i k)) (not (c j k)))) - clause-set)) - -(defun no-clique-of-order-4 (nnodes clause-set) - ;; in every 4 node subset, at least one pair is not connected - (dp-insert-wff `(forall ((i :in (ints 1 ,nnodes)) - (j :in (ints i ,nnodes) :except i) - (k :in (ints j ,nnodes) :except j) - (l :in (ints k ,nnodes) :except k)) - (or (not (c i j)) (not (c i k)) (not (c i l)) (not (c j k)) (not (c j l)) (not (c k l)))) - clause-set)) - -(defun no-clique-of-order-5 (nnodes clause-set) - ;; in every 5 node subset, at least one pair is not connected - (dp-insert-wff `(forall ((i :in (ints 1 ,nnodes)) - (j :in (ints i ,nnodes) :except i) - (k :in (ints j ,nnodes) :except j) - (l :in (ints k ,nnodes) :except k) - (m :in (ints l ,nnodes) :except l)) - (or (not (c i j)) (not (c i k)) (not (c i l)) (not (c i m)) - (not (c j k)) (not (c j l)) (not (c j m)) - (not (c k l)) (not (c k m)) - (not (c l m)))) - clause-set)) - -(defun no-clique-of-order-6 (nnodes clause-set) - ;; in every 6 node subset, at least one pair is not connected - (dp-insert-wff `(forall ((i :in (ints 1 ,nnodes)) - (j :in (ints i ,nnodes) :except i) - (k :in (ints j ,nnodes) :except j) - (l :in (ints k ,nnodes) :except k) - (m :in (ints l ,nnodes) :except l) - (n :in (ints m ,nnodes) :except m)) - (or (not (c i j)) (not (c i k)) (not (c i l)) (not (c i m)) (not (c i n)) - (not (c j k)) (not (c j l)) (not (c j m)) (not (c j n)) - (not (c k l)) (not (c k m)) (not (c k n)) - (not (c l m)) (not (c l n)) - (not (c m n)))) - clause-set)) - -(defun no-independent-set-of-order-3 (nnodes clause-set) - ;; in every 3 node subset, at least one pair is connected - (dp-insert-wff `(forall ((i :in (ints 1 ,nnodes)) - (j :in (ints i ,nnodes) :except i) - (k :in (ints j ,nnodes) :except j)) - (or (c i j) (c i k) (c j k))) - clause-set)) - -(defun no-independent-set-of-order-4 (nnodes clause-set) - ;; in every 4 node subset, at least one pair is connected - (dp-insert-wff `(forall ((i :in (ints 1 ,nnodes)) - (j :in (ints i ,nnodes) :except i) - (k :in (ints j ,nnodes) :except j) - (l :in (ints k ,nnodes) :except k)) - (or (c i j) (c i k) (c i l) (c j k) (c j l) (c k l))) - clause-set)) - -(defun no-independent-set-of-order-5 (nnodes clause-set) - ;; in every 5 node-subset, at least one pair is connected - (dp-insert-wff `(forall ((i :in (ints 1 ,nnodes)) - (j :in (ints i ,nnodes) :except i) - (k :in (ints j ,nnodes) :except j) - (l :in (ints k ,nnodes) :except k) - (m :in (ints l ,nnodes) :except l)) - (or (c i j) (c i k) (c i l) (c i m) - (c j k) (c j l) (c j m) - (c k l) (c k m) - (c l m))) - clause-set)) - -(defun no-independent-set-of-order-6 (nnodes clause-set) - ;; in every 6 node-subset, at least one pair is connected - (dp-insert-wff `(forall ((i :in (ints 1 ,nnodes)) - (j :in (ints i ,nnodes) :except i) - (k :in (ints j ,nnodes) :except j) - (l :in (ints k ,nnodes) :except k) - (m :in (ints l ,nnodes) :except l) - (n :in (ints m ,nnodes) :except m)) - (or (c i j) (c i k) (c i l) (c i m) (c i n) - (c j k) (c j l) (c j m) (c j n) - (c k l) (c k m) (c k n) - (c l m) (c l n) - (c m n))) - clause-set)) - -(defun ramsey-test () - ;; there doesn't seem to be any difference in search space size between choose-an-atom-of-a-shortest-clause and choose-an-atom-of-a-shortest-clause-randomly - ;; choose-an-atom-of-a-shortest-clause-with-most-occurrences-randomly seems to work much better for satisfiable instances - (cl:assert (eval (print '(ramsey-3-3 5)))) ;2 branches - (cl:assert (not (eval (print '(ramsey-3-3 6))))) ;22 branches - (cl:assert (eval (print '(ramsey-3-4 8)))) ;4 branches - (cl:assert (not (eval (print '(ramsey-3-4 9))))) ;10,251 branches - (cl:assert (eval (print '(ramsey-3-5 13)))) ;93,125 branches -;;(cl:assert (not (eval (print '(ramsey-3-5 14))))) ;1,078,238,816 branches -;;(cl:assert (eval (print '(ramsey-4-4 17)))) ;56,181,666 branches -;;(cl:assert (not (eval (print '(ramsey-4-4 18))))) - ) - -;;; ramsey-examples.lisp EOF diff --git a/snark-20120808r02/examples/reverse-example.abcl b/snark-20120808r02/examples/reverse-example.abcl deleted file mode 100644 index e1d7aeda309a35aebc8699ecf7f834632e5214e0..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 2610 zcmZ|RcQhMn9|v%=c5Ck%6}4jvYP44D*sU#yRZ+7=QP+rBt*C0%p3x9mf@(r3QLA>f zv1hIov}kM8tLNNv?!E7O-tTjsb7u3O){bQN7&BKp|HEK z&@h-BED{P24uk>S;a0AYE(Ok5(#@GCsBn|@_&gXP#pmgpEov8#7^EtQr7Tdau0(g9 zMFP;>avbszPZA7g>b}AXstgq+K69Na>ol%4Ab5d{6EX*%r@o6_s-fp*7!;hrL>J$X6Q4y<$=FASQq-}7%Gma08IO){%H zBEqXAb&1v5Kw`syP58$(pp( z)POhmWN!pDH0tJT&;Gq!ZO&YIfJYx?nUJWs(ZVs}$h#sk1 z_XL|NS!k`-t&t0#Zz&|sa}e2zGmmZe_EU8=i!7?ZL|iF5d)ZrXic*alm!%|dP+yfg zL$M%MZz~2hnWUZEV8O_(Alsk6w^&qq*~b$n^Ma3yPDy3Ro+&8BLt>q&G{nNv7p0OQ ziU=DBl_l`G6f5^ZH*?lke*9#^NWD0etLr0zNj>n7Qy@nvL@!W$(y-kwWjeeec@LI8U}6KSwRa_829+j z+`;5Q7fZhmT!GF^^TqH`w?b%pgepveK(J_g#=8yg@^Qo5K+pn$)nONW+3dawVaN_i zKe$FLBCU?t{aUPn25EpJ?MLCEzsa@mCeT8&h-L^cX zE1Dxi%AOJE^f$F z5ySIr^=y3mP13rmmU%ta1%kXbW_*Z1b0 z+G0b?v!Y%98euoBF68R zx83=6{njIceLo25Cg3w&#;${DrU1=}5u%ePT571XTzF0Bl>R+CCja2+k!N;1+xA9U zI9*blaN|1IB&u;_hZ|w5@n{x_R|AO8!Kr?lNTaW-yaao;``uBW;YeFAWYmGZw^<>x zejZkkE$G?cIo!C=k;ggXPi-s6M0MgAklw}iQp&xeT6ZHOXswI|7(+x<$A6?hAxVZL z1=FSk(x;Q4f3&`UzLF^WzMhRDW8i+(bE(F4)98h7-6M@589mo;;PYDa<6^R*V;ox- zQxc-9?<~hp>zg;86cGt`-SWu9szVl@H@9C*gOYG$;-mpTE(r4O&y`&#(Dp8bsSfn@ zAoy0b+)X%B9g?|ys#~|t+R z@)9GaUeVZ>i;!5CD%amtqv$+T@B7mu#9^1Uu4o7l(mg_uT*V zcPTdR6BfwI8f=)1d$KG~;xn!4?28QO0^FWi&HX9y%iba@5)oZ$r3B~aDA%9xB&67U zLKi>(aCHy^D3(QP*Fz3*q!7n_{Q*cJsDaZgl04$a08!1*0g`%GPEZw>1`g=N@$O^y z#kFNal#$#3y#ClU0Pi>^0KmJA-4@3ijiJTyHe<6$H=q<&n%koP=i`b~B)mP|v znI_POQ*;x^dGpTD@@3ks(K)%P`hn$BT62G4B>SB)9U!4KE_gq zhFiTg%Oa1qDTlI)&eER_{%*DhfoY)P?OrCj0vd z{rT%vJ z3C#i$n;9vp0P~Enxk9v$5)yHmwsm%WMDu diff --git a/snark-20120808r02/examples/reverse-example.lisp b/snark-20120808r02/examples/reverse-example.lisp deleted file mode 100644 index cd1dc74..0000000 --- a/snark-20120808r02/examples/reverse-example.lisp +++ /dev/null @@ -1,51 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark-user -*- -;;; File: reverse-example.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2006. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-user) - -(defun reverse-example (&key (length 3) magic) - (let ((l nil)) - (dotimes (i length) - (push i l)) - (initialize) - (declare-function '$$cons 2 :new-name 'cons) - (declare-function '$$list :any :new-name 'list) - (declare-function '$$list* :any :new-name 'list*) - (cond - (magic - (use-hyperresolution t) - (use-magic-transformation t)) - (t - (use-resolution t) - (assert-supported nil) - (assert-sequential t) - (print-rows-shortened t))) - (assert '(reverse nil nil)) - (assert '(implied-by - (reverse (cons ?x ?l) ?l1) - (and - (reverse ?l ?l2) - (append ?l2 (cons ?x nil) ?l1)))) - (assert '(append nil ?l ?l)) - (assert '(implied-by - (append (cons ?x ?l1) ?l2 (cons ?x ?l3)) - (append ?l1 ?l2 ?l3))) - (prove `(reverse (list ,@l) ?l) :answer '(values ?l)))) - -;;; reverse-example.lisp EOF diff --git a/snark-20120808r02/examples/snark-test b/snark-20120808r02/examples/snark-test deleted file mode 100644 index ba39d59..0000000 --- a/snark-20120808r02/examples/snark-test +++ /dev/null @@ -1,19 +0,0 @@ -;;; a script to run some SNARK examples -;;; usage: -;;; cd snark -;;; lisp < examples/snark-test >& examples/snark-test.out & - -#-snark (load "snark-system.lisp") -#-snark (make-snark-system) -(in-package :snark-user) -(default-print-row-wffs-prettily nil) -(overbeek-test) -(time (steamroller-example)) -(time (front-last-example)) -(time (reverse-example)) -(time (reverse-example :magic t)) -(time (hot-drink-example)) -(coder-test) -(time (snark-dpll::queens-problem 8 :find-all-models -1)) -(generate-latin-squares 7) -(quit) diff --git a/snark-20120808r02/examples/steamroller-example.abcl b/snark-20120808r02/examples/steamroller-example.abcl deleted file mode 100644 index cd512e41c7552c8fd4a3fb6c338fc4aa6e9e91e3..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 3775 zcmbW4S5OmLyM_^@B!CbTK#-2~fRxY#5dug_XaVUh(xmqyMo_74MKD6>xT(@fKq5t2 zq$>hJ6og;`N)wbWAm!+pbLMyd^PijZt(jGB-fzu2@5T36AQ((?*RQHvRQj|MIBA^NG!!EK zUd0Bb79^9!w`dvxCyx~0nB~ZDsIY~F^nv>$oW3COhny4T{*^JZ24%So8Ni*_mQzfM zHQo0|%0C zJ+A2*jPZsS?Eii^-lHz+RV#FkC>z50qmL8H(=e2$-vpJ8-By11LSMNO7_a8*#AWQPsbMw*!8CU()Z}pUc+Em9cQ|~X zD0`G_K8~r9h?ww~c#RuE>4o zMMf>Y1}4n`t3=huuU}(@+}SKS>c9`GlWr_u;z>S4syvE_&E7@li&$t+BI@gEybG0( zF4K*G8CKzY#w$469Iq#>!#~iu-L6#~2v73HbD>5ycR{@{a}}N*Ho-}_%wJ+2ndn)B z5i#;QpeZn7Oaw|Tl3N04Nb!lQiMt47TrhY%WYFR;$iqs=7P3?-rux1L@GyJM#`89P z1NCm436V10cM}=&K(k(;-A@EMy^tb2sBoK6_e*;%DH#@@_H-j=T2wObz}#^=)O2Lr z1An#$Ji3&;5+Ks-({hP-q1d*Vau!~Xrd+*Jf`Fv1jrXX1jrp+7&{oUTi7TtVE8kp` z^Kw+x*U9=_?%TB!y=u7?t!GmY23+5phS#?FH>O93h6~+^9fHxtJeb4c|Q`t&>A0$JMy z*}tL1Bm7SZX;T`1p#DK+|o$g zZk}@3LVnQOeB~&w?{QxS3g|d{IN|nMXvZ}|#r!1UPW!O$_h5ep&LWr~;kqM3L5QZ8 z4u~{Uw5oGWDKGNpEs6)xSD`7&JX7yVuL2|bs?3wH#+=}Cv8flD8dOocSZ~`<*9KpO z9Nvn*78@$xbR}(E=6ZYDW}cbct`~nEDaBL*DTf2#mKRoqp#?^HVJW-cLVt$B-1)M_ zVeXemn*eLaB=Rj(d|;fRYNpv2)X$mg*>@Ep+-05&wVPRJ6OL?o>z0(z+;~(rz!TCL zd?BC3(JWfCH|z`v0y1Y<5Z#l+H>xd4j87GH>#DWAqC7=@=M9gt=6Qulz($+j!q=4- zm2;zMfcYj)?#wQFyNCEabtG7`F|eWY98MI{_LI^<;}4kNttWm1L{$oZdrf_gTG!S1 z0v1QQg_$P{Jeb<37|&rb6l1Cx#aVijOpM>9xe-6gJ>qI)*th{jcgdL6&nBp#F6!iY z7?9R*?mC&}V{UK@Uu&^9_oGz9#5Q!)$!7z;V_~KD@mZdoJFfD$pQ%hW}9$-)LQ`Z60Ulya3DMNl;0s((6YXp8cTm zCOd%Udr;&JAEt2Mhk6p>h`#BicRmjSmEGD@o!m)Np?fLYxTjpM>56i`e9{rDGDxaXE$hwafv)0431F#pxo`(y)`^~(DhHG1Hx4$B z@B?A`S!1(hg1UyuJzF$-vxNW%caBle$dlR<{Z=FFZOH;aY}}~i*Y;x4ohXqv3(s&f z{lrxZ2OJc>aFq>+#jcbM0{PaZ z1G33SF&c-wicSGt-c4we-H}1s2v|(kEQ-DGOF%)!lI!TU)L0NM#uZ+%^TNO#H@|my zyy@m{rL_c(u%m5d*{Z3kFyB7puM#FuYz3h|_J^up-^Sd3aRX60ckVIbB^Np|?skvw zi?W<(o%~1$cdUqsKT-5l;6*d0GmGr+#ziz_*fG3Cm3Kgj!lGYqVi7X>(07yE5PeK| z>Cy}wJ8cUaw`Pqp8jm8YTnz#9_gRVgsXp7i7N9M@MF~Cr0LrKL)fWYQeZF<5eqOge zZ)pOyxn)9z*3)|WHV%^(lF7?1%ZrZt=Ya6}n^>B>?sn`j-Ipl_a#s}R3Tw()fwuowY%-Ifr##Sn`I5&*sl?04l$9OUDm}Wtp_O4!v<@R0373Eh>4;f*vP0 z_02_OSXYER`Dh-JkT%banu)Dx`P(B7*}Av9(PA9NbcoC|nmS3y-+SQRVw&$K_gCI- z<~-XPsr|5Q;ob^OdU@^x3j!GWsFBRJ(RCzorSUG1#;dUvC21&MH!xUy*@YTg-}3jp zXtUNmckN*8jNOdK8oB3+54iHIOFH=E9_K~s`{EEyRpc~jLqESdkxvt1A7aYKqZj(a zc36O`2SKKM+DfcWHd9I^PM<=jjUOeeK3$=4X`HyStTBeq^HB(0N0Ry=6~iV8Zh)b> zM(6a(_IX3lGhgMeNZ4m&Oop?I4nePE000nuKChB0FtLIJ3@VEwgWljNd^f&r?3XB_ zDg!PMBT~0_)-!P*z&2a=n=mEb3PrKJKJ0H7H_Bv}kniUTM|6!ZSFhGD!4*_@*{i(QKjVsGe=)*W49n zPIhipIgog%vcdy)iobg{)ZRD^D47`|_G;NhEzfB8OzYuDQW4Gn=`?PRq_rl;ZxKW@ z2~2bOz`7K|Zo#;F)J*NVQ=)OA zx9qCTxogb^MYX~0q`yfjKwB9nDLjh_p8n`gGmtJQ(fA#6w3ue*@cBeC$c|)YTMHyQ zG|5aksMU^UlpTDz>`Dm^mhsdTdk{;3(6c8@oE(|LSfhZB&W+9d{j$o zJnYSO3KqK^pIN7MC9VpP7JFAICF{qa=7-L8usRPR@MYUZ^NOht1oLXb`N`C(2=LEh zzRLqzMR6$e`NsLge$Q<{*gerRvLe zq33W>U>m8LZQ;+|S2=Re=ryiPT94AAgC(Q|k`k~nz|t^aX$QTJ_uUMM*Cs%1(i%<-Y3!= z4hm$5ey5CeNyc_ZLBEGDPFD&-6+lNf{0rSI5U1!NbpIl|Ke^*K+5NNrBj^3Q#GkX> xZ$SB1VSWM49}@q>m4BD{^OygWaXkH>W&V3Cv_LR2{qD%{YmNOnC)t0${tE(s&6WTF diff --git a/snark-20120808r02/examples/steamroller-example.lisp b/snark-20120808r02/examples/steamroller-example.lisp deleted file mode 100644 index bb866cc..0000000 --- a/snark-20120808r02/examples/steamroller-example.lisp +++ /dev/null @@ -1,82 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark-user -*- -;;; File: steamroller-example.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2011. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-user) - -(defun steamroller-example0 () - (refute-snark-example-file - "PUZ031+1" - '((use-hyperresolution)))) - -(defun steamroller-example () - (initialize) - (use-hyperresolution) - - (declare-sort 'animal :subsorts-incompatible t) - (declare-sort 'plant :subsorts-incompatible t) - (declare-subsort 'bird 'animal) - (declare-subsort 'caterpillar 'animal) - (declare-subsort 'fox 'animal) - (declare-subsort 'snail 'animal) - (declare-subsort 'wolf 'animal) - (declare-subsort 'grain 'plant) - - (declare-relation 'e 2 :sort '((1 animal))) ;animal*true - (declare-relation 'm 2 :sort '((t animal))) ;animal*animal - - (declare-variable '?a1 :sort 'animal) - (declare-variable '?a2 :sort 'animal) - - (assertion (forall ((?s1 snail) (?b1 bird)) ;KIF-style sort specification - (m ?s1 ?b1)) ;all KIF variables begin with ? - :name snails-are-smaller-than-birds) - (assertion (forall ((b1 :sort bird) (f1 :sort fox)) ;SNARK-preferred sort specification - (m b1 f1)) - :name birds-are-smaller-than-foxes) - (assertion (forall ((f1 true :sort fox) - (w1 wolf :sort wolf)) ;this works too - (m f1 w1)) - :name foxes-are-smaller-than-wolves) - (assertion (forall ((w1 wolf) (f1 fox)) - (not (e w1 f1))) - :name wolves-dont-eat-foxes) - (assertion (forall ((w1 :sort wolf) (g1 :sort grain)) - (not (e w1 g1))) - :name wolves-dont-eat-grain) - (assertion (forall ((b1 :sort bird) (c1 :sort caterpillar)) - (e b1 c1)) - :name birds-eat-caterpillars) - (assertion (forall ((b1 :sort bird) (s1 :sort snail)) - (not (e b1 s1))) - :name birds-dont-eat-snails) - (assertion (forall ((c1 :sort caterpillar)) - (exists ((p1 :sort plant)) - (e c1 p1))) - :name caterpillars-eat-some-plants) - (assertion (forall ((s1 :sort snail)) - (exists ((p1 :sort plant)) - (e s1 p1))) - :name snails-eat-some-plants) - (assertion (forall ((p1 :sort plant) (p2 :sort plant)) - (implied-by (or (e ?a1 ?a2) (e ?a1 p1)) (and (m ?a2 ?a1) (e ?a2 p2))))) - - (prove '(and (e ?x.animal ?y.animal) (e ?y.animal ?z.grain)) - :answer '(values ?x.animal ?y.animal ?z.grain))) - -;;; steamroller-example.lisp EOF diff --git a/snark-20120808r02/make-snark-ccl b/snark-20120808r02/make-snark-ccl deleted file mode 100755 index dec5068..0000000 --- a/snark-20120808r02/make-snark-ccl +++ /dev/null @@ -1,6 +0,0 @@ -ccl < compile >& compile.out -ccl << ENDOFSTDIN -(load "snark-system.lisp") -(make-snark-system) -(save-snark-system) -ENDOFSTDIN diff --git a/snark-20120808r02/make-snark-ccl64 b/snark-20120808r02/make-snark-ccl64 deleted file mode 100755 index 12f6bca..0000000 --- a/snark-20120808r02/make-snark-ccl64 +++ /dev/null @@ -1,6 +0,0 @@ -ccl64 < compile >& compile.out -ccl64 << ENDOFSTDIN -(load "snark-system.lisp") -(make-snark-system) -(save-snark-system) -ENDOFSTDIN diff --git a/snark-20120808r02/make-snark-sbcl b/snark-20120808r02/make-snark-sbcl deleted file mode 100755 index 9e8f4f0..0000000 --- a/snark-20120808r02/make-snark-sbcl +++ /dev/null @@ -1,6 +0,0 @@ -sbcl < compile >& compile.out -sbcl << ENDOFSTDIN -(load "snark-system.lisp") -(make-snark-system) -(save-snark-system :name "snark" :executable t) -ENDOFSTDIN diff --git a/snark-20120808r02/make-snark-sbcl64 b/snark-20120808r02/make-snark-sbcl64 deleted file mode 100755 index 7a2bbf8..0000000 --- a/snark-20120808r02/make-snark-sbcl64 +++ /dev/null @@ -1,6 +0,0 @@ -~/sbcl-1.0.29-x86_64-darwin/run-sbcl.sh < compile >& compile.out -~/sbcl-1.0.29-x86_64-darwin/run-sbcl.sh << ENDOFSTDIN -(load "snark-system.lisp") -(make-snark-system) -(save-snark-system :name "snark64" :executable t) -ENDOFSTDIN diff --git a/snark-20120808r02/run-snark b/snark-20120808r02/run-snark deleted file mode 100755 index a5a274a..0000000 --- a/snark-20120808r02/run-snark +++ /dev/null @@ -1,55 +0,0 @@ -#! /bin/tcsh - -# this is Geoff's run-snark script for SystemOnTPTP as of 2012-08-21 - -if (! -f $1) then - echo "Missing filename" - exit -endif -echo $1 -if ($2 == "") then - set runtimelimit = nil -else - set runtimelimit = $2 -endif - -set this_directory=`dirname $0` -$this_directory/snark << ENDOFSTDIN -#+sbcl (sb-ext:disable-debugger) -(in-package :snark-user) - -(defvar snark-tptp-options) -(setf snark-tptp-options - '( - (agenda-length-limit nil) - (agenda-length-before-simplification-limit nil) - (use-hyperresolution t) - (use-ur-resolution t) - (use-paramodulation t) - (use-factoring :pos) - (use-literal-ordering-with-hyperresolution 'literal-ordering-p) - (use-literal-ordering-with-paramodulation 'literal-ordering-p) - (ordering-functions>constants t) - (assert-context :current) - (run-time-limit $runtimelimit) - (listen-for-commands nil) - (use-closure-when-satisfiable t) - (print-rows-when-given nil) - (print-rows-when-derived nil) - (print-unorientable-rows nil) - (print-row-wffs-prettily nil) - (print-final-rows :tptp) ;System on TPTP uses value :tptp - (print-options-when-starting nil) ;System on TPTP uses this - (use-variable-name-sorts nil) - (use-purity-test t) - (use-relevance-test t) - (declare-tptp-symbols1) - (declare-tptp-symbols2) - )) - -(setf *tptp-environment-variable* "$TPTP") -(refute-file "$1" :options snark-tptp-options :format :tptp) - -(quit) -ENDOFSTDIN - diff --git a/snark-20120808r02/snark-interface.fasl b/snark-20120808r02/snark-interface.fasl deleted file mode 100644 index 92c9b132c76bb5eee160ac36a38013cffa089796..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 21080 zcmeHP4SZF_m4ElneaTB+Vge)*sYoD~8lnM$MZi2TA3Q$fB}5>IB9#DvMnXc9JVZ<6 zM?vIbWo7XngZEi`; z%bi!cG?JQ|yS8!D=DPaYb-C-C8aL%mm{Q$b+tfUzp=L{MZ9{XkVO>qrhAEqy8n3Ng z+tSR;mfEH%%?&k88w;mREt)oU=G2)@Q>VE#bqy`GP3vpc)=sXkYu-Eo+@sBP4I6To zmX$|xLD*c^*pOQ^xoGmmlcyG5w08RRnMF0Jy~5}7t(bXnB|rvJLi$^hYKT%%NH$`HPw|1%NNfL=U!4hcUocDl5pvws>KT{mo1&NH+deb7uF40X8& zjWR4o(xh`N6!Km(Al+X7Kn#M`2Ph}IpxhK?84^VxAGWc~HkR2=Hf+BFX#o;NWIgNH zMtnUSP0RNANTHxLX0ZN9LmbVI3S-@1eNmBGWXrn<(Q~*_D?;sZ^%37T(JF0qzWWG$C{7UH|tqP{b`-)d7%EauBhYT^v5O0 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"substitute" - "symbol-table2" - "symbol-definitions" - "assertion-analysis" - "jepd-relations-tables" "jepd-relations" "date-reasoning2" - "constraints" -;; "constraint-purify" - "connectives" - "wffs" -;; "equality-elimination2" - "nonhorn-magic-set" - "dp-refute" - "sorts-functions" - "sorts-interface" - "sorts" - "argument-bag-ac" - "argument-list-a1" - "unify" - "unify-bag" "subsume-bag" - "unify-vector" - "equal" - "variant" - "alists" - "term-hash" - "trie-index" - "path-index" - "trie" "feature-vector" "feature-vector-trie" "feature-vector-index" - "term-memory" -;; "instance-graph" "instance-graph2" - "weight" - "eval" - "input" - "output" - "simplification-ordering" - "symbol-ordering" - "multiset-ordering" - "recursive-path-ordering" "ac-rpo" - "knuth-bendix-ordering2" - "rewrite" - "rewrite-code" - "code-for-strings2" - "code-for-numbers3" - "code-for-lists2" - "code-for-bags4" - "resolve-code" - "resolve-code-tables" - "main" - "subsume" "subsume-clause" - "assertion-file" - "tptp" - "tptp-symbols" - "coder" - ("examples" "overbeek-test") - ("examples" "front-last-example") - ("examples" "steamroller-example") - ("examples" "reverse-example") - ("examples" "hot-drink-example") - ("examples" "coder-examples") - ("examples" "latin-squares") - "patches" - )) - -(defvar *compile-me* nil) - -(defun make-snark-system (&optional (*compile-me* *compile-me*)) - (pushnew :snark *features*) - #+cmu (setf extensions::*gc-verbose* nil) - (when (eq *compile-me* :optimize) - (proclaim (print '(optimize (safety 1) (space 1) (speed 3) (debug 1))))) - (with-compilation-unit () - (dolist (name *snark-files2*) - (let* ((dir (if (consp name) - (append (pathname-directory *snark-system-pathname*) (butlast name)) - (append (pathname-directory *snark-system-pathname*) (list "src")))) - (name (if (consp name) (first (last name)) name)) - (file (make-pathname :directory dir :name name :defaults *snark-system-pathname*))) - (load file))) - (setf *package* (find-package :snark)) - #+gcl (shadow '(#:assert #:substitute #:variable)) - (dolist (name *snark-files*) - (let* ((dir (if (consp name) - (append (pathname-directory *snark-system-pathname*) (butlast name)) - (append (pathname-directory *snark-system-pathname*) (list "src")))) - (name (if (consp name) (first (last name)) name)) - (file (make-pathname :directory dir :name name :defaults *snark-system-pathname*))) - (load (if *compile-me* - (compile-file file) - (or (probe-file (compile-file-pathname file)) file)))))) -;;#-(or symbolics mcl) (load "/home/pacific1/stickel/spice/build.lisp") - (setf *package* (find-package :snark-user)) - (setf *print-pretty* nil) - #+openmcl (egc nil) - (funcall (intern (symbol-name :initialize) :snark))) - -#+ignore -(defun fix-snark-files () - (let ((dir (pathname-directory cl-user::*snark-system-pathname*))) - (dolist (x (append - (directory - (make-pathname :directory (append dir (list "src")) :name :wild :type "lisp")) - (directory - (make-pathname :directory (append dir 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YpEv^lEjfUI5PpAXK!JdkdH($RUvy}|e*gdg diff --git a/snark-20120808r02/src/ac-rpo.lisp b/snark-20120808r02/src/ac-rpo.lisp deleted file mode 100644 index 75c6231..0000000 --- a/snark-20120808r02/src/ac-rpo.lisp +++ /dev/null @@ -1,304 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark -*- -;;; File: ac-rpo.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2010. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -;;; recursive-path-ordering extensions for Rubio's "A fully syntactic AC-RPO" - -(defun ac-rpo-compare-compounds (fn xargs yargs subst) - (or (ac-rpo-cache-lookup fn xargs yargs) - (ac-rpo-cache-store fn xargs yargs (ac-rpo-compare-compounds* fn xargs yargs subst)))) - -(defun ac-rpo-compare-compounds* (fn xargs yargs subst) - (let ((com1 nil) (com2 nil) (com3 nil) (com4 nil) - (always-> t) (always-< t) - big-head-of-x no-small-head-of-x - big-head-of-y no-small-head-of-y) - (when (and (eq '= (setf com1 (compare-argument-counts xargs yargs subst))) - (eq '= (compare-term-multisets #'rpo-compare-terms xargs yargs subst '=))) - (return-from ac-rpo-compare-compounds* '=)) - (dolist (yargs1 (emb-no-big fn yargs subst)) - (case (ac-rpo-compare-compounds fn xargs yargs1 subst) - (? - (setf always-> nil)) - ((< =) - (return-from ac-rpo-compare-compounds* '<)))) - (when always-> - (setf (values big-head-of-x no-small-head-of-x) - (big-head-and-no-small-head fn xargs subst)) - (setf (values big-head-of-y no-small-head-of-y) - (big-head-and-no-small-head fn yargs subst)) - (when (and (case (setf com4 (compare-no-small-heads fn no-small-head-of-x no-small-head-of-y subst nil)) - ((> =) - t)) - (or (eq '> com1) - (eq '> (setf com2 (compare-term-multisets #'rpo-compare-terms big-head-of-x big-head-of-y subst nil))) - (case com1 - ((>= =) - (cond - ((and (eq big-head-of-y yargs) (eq '> com2)) - t) - ((and (eq big-head-of-x xargs) (neq '> com2)) - nil) - ((and (eq big-head-of-x xargs) (eq big-head-of-y yargs)) - (eq '> com2)) - (t - (eq '> (setf com3 (compare-term-multisets #'rpo-compare-terms xargs yargs subst nil))))))))) - (return-from ac-rpo-compare-compounds* '>))) - (dolist (xargs1 (emb-no-big fn xargs subst)) - (case (ac-rpo-compare-compounds fn xargs1 yargs subst) - (? - (setf always-< nil)) - ((> =) - (return-from ac-rpo-compare-compounds* '>)))) - (when always-< - (unless always-> - (setf (values big-head-of-x no-small-head-of-x) - (big-head-and-no-small-head fn xargs subst)) - (setf (values big-head-of-y no-small-head-of-y) - (big-head-and-no-small-head fn yargs subst))) - (when (and (case (or com4 (compare-no-small-heads fn no-small-head-of-x no-small-head-of-y subst nil)) - ((< =) - t)) - (or (eq '< com1) - (eq '< (or com2 (setf com2 (compare-term-multisets #'rpo-compare-terms big-head-of-x big-head-of-y subst nil)))) - (case com1 - ((<= =) - (cond - ((and (eq big-head-of-x xargs) (eq '< com2)) - t) - ((and (eq big-head-of-y yargs) (neq '< com2)) - nil) - ((and (eq big-head-of-x xargs) (eq big-head-of-y yargs)) - (eq '< com2)) - (t - (eq '< (or com3 (compare-term-multisets #'rpo-compare-terms xargs yargs subst '<))))))))) - (return-from ac-rpo-compare-compounds* '<))) - '?)) - -(defun emb-no-big (fn args subst) - ;; defn 12 - (let ((revargs nil) (result nil) result-last) - (dotails (args args) - (let ((argi (first args))) - (when (dereference argi subst :if-compound (neq '> (symbol-ordering-compare (head argi) fn))) - (dolist (argij (args argi)) - (collect (revappend - revargs - (dereference - argij subst - :if-variable (cons argij (rest args)) - :if-constant (cons argij (rest args)) - :if-compound (if (eq fn (head argij)) - (append (flatargs argij subst) (rest args)) - (cons argij (rest args))))) - result))) - (push argi revargs))) - result)) - -(defun big-head-and-no-small-head (fn args subst) - ;; defn 2: big-head is multiset of arguments for which (> (top arg) fn) - ;; defn 7: no-small-head is multiset of arguments for which (not (< (top arg) fn)) - (labels - ((big-head-and-no-small-head* (args) - (if (null args) - (values nil nil) - (let* ((l (rest args)) - (arg (first args)) - (com (dereference - arg subst - :if-variable '? - :if-constant (symbol-ordering-compare arg fn) - :if-compound (symbol-ordering-compare (head arg) fn)))) - (mvlet (((values big-head no-small-head) (big-head-and-no-small-head* l))) - (values (if (eq '> com) - (if (eq big-head l) args (cons arg big-head)) - big-head) - (if (neq '< com) - (if (eq no-small-head l) args (cons arg no-small-head)) - no-small-head))))))) - (big-head-and-no-small-head* args))) - -(defun compare-no-small-heads (fn no-small-head-of-x no-small-head-of-y subst testval) - ;; defn 11 comparison function adds the following - ;; conditions to the usual comparison - ;; (> compound compound') : (or (> (head compound) fn) (>= (head compound) (head compound')) - ;; (> constant compound) : (or (> constant fn) (> constant (head compound))) - ;; (> compound constant) : (or (> (head compound) fn) (> (head compound) constant)) - ;; (> compound variable) : (> (head compound) fn) - (labels - ((compare (x y subst testval) - (dereference2 - x y subst - :if-variable*variable (if (eq x y) '= '?) - :if-variable*constant '? - :if-constant*variable '? - :if-constant*constant (symbol-ordering-compare x y) - :if-compound*variable (if (eq '> (symbol-ordering-compare (head x) fn)) (rpo-compare-compound*variable x y subst testval) '?) - :if-variable*compound (if (eq '> (symbol-ordering-compare (head y) fn)) (rpo-compare-variable*compound x y subst testval) '?) - :if-compound*constant (ecase testval - (> - (and (or (eq '> (symbol-ordering-compare (head x) fn)) - (eq '> (symbol-ordering-compare (head x) y))) - (rpo-compare-compound*constant x y subst testval))) - (< - (and (or (eq '> (symbol-ordering-compare y fn)) - (eq '> (symbol-ordering-compare y (head x)))) - (rpo-compare-compound*constant x y subst testval))) - ((nil) - (ecase (rpo-compare-compound*constant x y subst testval) - (> - (if (or (eq '> (symbol-ordering-compare (head x) fn)) - (eq '> (symbol-ordering-compare (head x) y))) - '> - '?)) - (< - (if (or (eq '> (symbol-ordering-compare y fn)) - (eq '> (symbol-ordering-compare y (head x)))) - '< - '?)) - (? - '?)))) - :if-constant*compound (opposite-order (compare y x subst (opposite-order testval))) - :if-compound*compound (ecase testval - (= - (rpo-compare-compounds x y subst testval)) - (> - (and (or (eq '> (symbol-ordering-compare (head x) fn)) - (case (symbol-ordering-compare (head x) (head y)) - ((> =) - t))) - (rpo-compare-compounds x y subst testval))) - (< - (and (or (eq '> (symbol-ordering-compare (head y) fn)) - (case (symbol-ordering-compare (head y) (head x)) - ((> =) - t))) - (rpo-compare-compounds x y subst testval))) - ((nil) - (ecase (rpo-compare-compounds x y subst testval) - (> - (if (or (eq '> (symbol-ordering-compare (head x) fn)) - (case (symbol-ordering-compare (head x) (head y)) - ((> =) - t))) - '> - '?)) - (< - (if (or (eq '> (symbol-ordering-compare (head y) fn)) - (case (symbol-ordering-compare (head y) (head x)) - ((> =) - t))) - '< - '?)) - (= - '=) ;this added case is the only change in version 20090905r007 - (? - '?))))))) - (compare-term-multisets #'compare no-small-head-of-x no-small-head-of-y subst testval))) - -(defun compare-argument-counts (xargs yargs subst) - ;; xargs.subst and yargs.subst are already flattened argument lists - ;; of the same associative function - ;; this is the AC-RPO comparison of #(x) and #(y) that returns - ;; =, >, <, >=, =<, or ? - (let ((variable-counts nil) (variable-count 0) (nonvariable-count 0)) - (labels - ((count-arguments (args inc) - (declare (fixnum inc)) - (let (v) - (dolist (term args) - (dereference - term subst - :if-variable (cond - ((null variable-counts) - (setf variable-counts (cons (make-tc term inc) nil))) - ((setf v (assoc/eq term variable-counts)) - (incf (tc-count v) inc)) - (t - (push (make-tc term inc) variable-counts))) - :if-constant (incf nonvariable-count inc) - :if-compound (incf nonvariable-count inc)))))) - (count-arguments xargs 1) - (count-arguments yargs -1) - (dolist (v variable-counts) - (let ((c (tc-count v))) - (cond - ((plusp c) - (if (minusp variable-count) - (return-from compare-argument-counts '?) - (incf variable-count c))) - ((minusp c) - (if (plusp variable-count) - (return-from compare-argument-counts '?) - (incf variable-count c)))))) - (cond - ((plusp variable-count) - (cond - ((minusp nonvariable-count) - (let ((d (+ variable-count nonvariable-count))) - (cond - ((eql 0 d) - '>=) - ((plusp d) - '>) - (t - '?)))) - (t - '>))) - ((minusp variable-count) - (cond - ((plusp nonvariable-count) - (let ((d (+ variable-count nonvariable-count))) - (cond - ((eql 0 d) - '=<) - ((minusp d) - '<) - (t - '?)))) - (t - '<))) - ((eql 0 nonvariable-count) - '=) - (t - (if (plusp nonvariable-count) '> '<)))))) - -(defun ac-rpo-cache-lookup (fn xargs yargs) - (dolist (x *ac-rpo-cache* nil) - (when (and (eq fn (first x)) - (eql-list xargs (first (setf x (rest x)))) - (eql-list yargs (first (setf x (rest x))))) - (return (first (rest x)))))) - -(defun ac-rpo-cache-store (fn xargs yargs com) - (push (list fn xargs yargs com) *ac-rpo-cache*) - com) - -(defun eql-list (l1 l2) - (loop - (cond - ((null l1) - (return (null l2))) - ((null l2) - (return nil)) - ((neql (pop l1) (pop l2)) - (return nil))))) - -;;; ac-rpo.lisp EOF diff --git a/snark-20120808r02/src/agenda-system.lisp b/snark-20120808r02/src/agenda-system.lisp deleted file mode 100644 index 5460939..0000000 --- a/snark-20120808r02/src/agenda-system.lisp +++ /dev/null @@ -1,36 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: common-lisp-user -*- -;;; File: agenda-system.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2009. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :common-lisp-user) - -(defpackage :snark-agenda - (:use :common-lisp :snark-lisp :snark-deque :snark-sparse-array) - (:export - #:make-agenda - #:agenda-name #:agenda-length - #:agenda-insert #:agenda-delete - #:agenda-first #:pop-agenda #:mapnconc-agenda #:agenda-delete-if - #:limit-agenda-length - #:print-agenda - #:*agenda* - )) - -(loads "agenda") - -;;; agenda-system.lisp EOF diff --git a/snark-20120808r02/src/agenda.abcl b/snark-20120808r02/src/agenda.abcl deleted file mode 100644 index cd7ea2320632c8d2bcb2913e43d50e8ae1ba6f0e..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 70779 zcmb5VV|b?hyR4a{<2>&QCo`C7ZBsT_abv1LG@c{g_?`}X|sy!{7=&{h3srpO`sD85PWP>5Gn&BQ2Vycu zKqZ0U$68rO#YuphUHbARpqhh;wa!~7_;R2dq}>B#lu%{%%@jgrI=njez zf|_6p#WCGd%$l%Q(3e| zwNwU~2VIEhcvG_ie-cV$pD|7bVN(O84#pINbbC>X!km>-ML_Nh{uD>4zjgS(x^|Xn z_cM6jdXFFGBSi|7*cSGwshCATcU}&hLm4QZ%o+t~Igx`W z!>f-V@boA~e=U&`jpVVo|K%z-`{xAmyNb@MCcajFuM~SJ@Z^m4$T?XIz4yh&SHqac 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/dev/null @@ -1,234 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark-agenda -*- -;;; File: agenda.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2008. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-agenda) - -(defstruct (agenda - (:print-function print-agenda3) - (:copier nil)) - (name "" :read-only t) - (length 0) - (length-limit nil) - (length-limit-deletion-action #'identity :read-only t) - (same-item-p #'eql :read-only t) - (buckets (make-sparse-vector))) - -;;; an agenda index value (priority) is (list integer_1 ... integer_n) or (list* integer_1 ... integer_n) -;;; which are both treated as the same sequence integer_1 ... integer_n -;;; this includes (list* integer) = integer as an agenda index value -;;; agenda index values are compared lexicographically in left-to-right order -;;; if one is prefix of another, they must be equal, e.g., can't have (2 18) and (2 18 1) -;;; agenda buckets are deques stored in nested sparse-vectors indexed by agenda index values - -(defun find-agenda-bucket (buckets value &optional create) - (labels - ((find-agenda-bucket* (buckets value) - (cond - ((atom value) - (or (sparef buckets value) - (if create (setf (sparef buckets value) (make-deque)) nil))) - ((null (rest value)) - (or (sparef buckets (first value)) - (if create (setf (sparef buckets (first value)) (make-deque)) nil))) - (t - (let ((v (sparef buckets (first value)))) - (cond - (v - (find-agenda-bucket* v (rest value))) - (create - (find-agenda-bucket* (setf (sparef buckets (first value)) (make-sparse-vector)) (rest value))) - (t - nil))))))) - (find-agenda-bucket* buckets value))) - -(defun first-or-last-nonempty-agenda-bucket (buckets last) - (labels - ((first-or-last-nonempty-agenda-bucket* (buckets) - (prog-> - (map-sparse-vector-with-indexes buckets :reverse last ->* x i) - (cond - ((sparse-vector-p x) - (first-or-last-nonempty-agenda-bucket* x)) - ((deque-empty? x) - (setf (sparef buckets i) nil)) - (t - (return-from first-or-last-nonempty-agenda-bucket x)))))) - (first-or-last-nonempty-agenda-bucket* buckets) - nil)) - -(definline first-nonempty-agenda-bucket (buckets) - (first-or-last-nonempty-agenda-bucket buckets nil)) - -(definline last-nonempty-agenda-bucket (buckets) - (first-or-last-nonempty-agenda-bucket buckets t)) - -(defun collect-agenda-buckets (buckets) - (let ((result nil) result-last) - (labels - ((collect-agenda-buckets* (buckets revalue) - (prog-> - (map-sparse-vector-with-indexes buckets ->* x i) - (cond - ((sparse-vector-p x) - (collect-agenda-buckets* x (cons i revalue))) - ((deque-empty? x) - ) - (t - (collect (list x (if (null revalue) i (reverse (cons i revalue)))) result)))))) - (collect-agenda-buckets* buckets nil) - result))) - -(defun agenda-insert (item value agenda &optional at-front) - (let* ((buckets (agenda-buckets agenda)) - (q (find-agenda-bucket buckets value :create))) - (unless (and (not (deque-empty? q)) (funcall (agenda-same-item-p agenda) item (if at-front (deque-first q) (deque-last q)))) - (if at-front (deque-push-first q item) (deque-push-last q item)) - (let ((limit (agenda-length-limit agenda)) - (length (agenda-length agenda))) - (cond - ((and limit (<= limit length)) - (let ((deleted-item (deque-pop-last (last-nonempty-agenda-bucket buckets)))) - (cond - ((eql item deleted-item) - nil) - (t - (funcall (agenda-length-limit-deletion-action agenda) deleted-item) - t)))) - (t - (setf (agenda-length agenda) (+ length 1)) - t)))))) - -(defun agenda-delete (item value agenda) - (let ((length (agenda-length agenda))) - (unless (eql 0 length) - (let ((q (find-agenda-bucket (agenda-buckets agenda) value))) - (when (and q (deque-delete q item)) - (setf (agenda-length agenda) (- length 1)) - t))))) - -(defun agenda-first (agenda &optional delete) - (cond - ((listp agenda) - (dolist (agenda agenda) - (unless (eql 0 (agenda-length agenda)) - (return (agenda-first agenda delete))))) - (t - (let ((length (agenda-length agenda))) - (unless (eql 0 length) - (let ((q (first-nonempty-agenda-bucket (agenda-buckets agenda)))) - (cond - (delete - (setf (agenda-length agenda) (- length 1)) - (deque-pop-first q)) - (t - (deque-first q))))))))) - -(defun pop-agenda (agenda) - (agenda-first agenda t)) - -(defun map-agenda-buckets (function buckets) - (prog-> - (map-sparse-vector buckets ->* x) - (cond - ((sparse-vector-p x) - (map-agenda-buckets function x)) - (t - (funcall function x))))) - -(defun mapnconc-agenda (function agenda) - (let ((result nil) result-last) - (prog-> - (map-agenda-buckets (agenda-buckets agenda) ->* q) - (mapnconc-deque q ->* item) - (cond - ((or (null function) (eq 'list function) (eq #'list function)) - (collect item result)) - (t - (ncollect (funcall function item) result)))))) - -(defun agenda-delete-if (function agenda &optional apply-length-limit-deletion-action) - (prog-> - (and apply-length-limit-deletion-action (agenda-length-limit-deletion-action agenda) -> deletion-action) - (map-agenda-buckets (agenda-buckets agenda) ->* q) - (deque-delete-if q ->* v) - (when (funcall function v) - (decf (agenda-length agenda)) - (when deletion-action - (funcall deletion-action v)) - t))) - -(defun limit-agenda-length (agenda limit) - (let ((length (agenda-length agenda))) - (setf (agenda-length-limit agenda) limit) - (when (and limit (< limit length)) - (let ((i 0)) - (agenda-delete-if (lambda (item) (declare (ignore item)) (> (incf i) limit)) agenda t))))) - -(defvar *agenda*) ;default agenda(s) for print-agenda to display - -(defun print-agenda (&key (agenda *agenda*) entries) - (cond - ((listp agenda) - (let ((all-empty t)) - (dolist (agenda agenda) - (unless (eql 0 (agenda-length agenda)) - (setf all-empty nil) - (print-agenda :agenda agenda :entries entries))) - (when all-empty - (format t "~%; All agendas are empty.")))) - (t - (with-standard-io-syntax2 - (format t "~%; The agenda of ~A has ~D entr~:@P~A" - (agenda-name agenda) - (agenda-length agenda) - (if (eql 0 (agenda-length agenda)) "." ":")) - (unless (eql 0 (agenda-length agenda)) - (let ((buckets (collect-agenda-buckets (agenda-buckets agenda)))) - (do* ((k (length buckets)) - (k1 (ceiling k 3)) - (k2 (ceiling (- k k1) 2)) - (buckets3 (nthcdr (+ k1 k2) buckets)) - (buckets2 (nbutlast (nthcdr k1 buckets) (- k k1 k2))) - (buckets1 (nbutlast buckets k2)) - b) - ((null buckets1)) - (setf b (pop buckets1)) - (format t "~%; ~5D with value ~A" (deque-length (first b)) (second b)) - (unless (null buckets2) - (setf b (pop buckets2)) - (format t "~31T~5D with value ~A" (deque-length (first b)) (second b)) - (unless (null buckets3) - (setf b (pop buckets3)) - (format t "~61T~5D with value ~A" (deque-length (first b)) (second b)))))) - (when (and entries (not (eql 0 (agenda-length agenda)))) - (prog-> - (dolist (collect-agenda-buckets (agenda-buckets agenda)) ->* x) - (first x -> q) - (second x -> value) - (unless (deque-empty? q) - (format t "~%;~%; Entries with value ~A:" value) - (mapnconc-deque (lambda (x) (format t "~%; ~A" x)) q)))))) - nil))) - -(defun print-agenda3 (agenda stream depth) - (declare (ignore depth)) - (print-unreadable-object (agenda stream :type t :identity nil) - (format stream "~S" (agenda-name agenda)))) - -;;; agenda.lisp EOF diff --git a/snark-20120808r02/src/alists.abcl b/snark-20120808r02/src/alists.abcl deleted file mode 100644 index 815e8f09415a691fa05df2b9ffcc2f8c76e5e3d0..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 7931 zcmb7}WmJ@H`>#Pl#Gz}D?vfh1y9McPkglP-8M-B;yF*G^kfFOl8U_JL2@#|=>Uy95 z^E_+sz25&dU+(#E+#l|1{m$#S&Qn}Yhq^4ly1-z&=sMn<`Y@M>N7N&b&@6K z5vTzO5&UBRZO6Iwu0TFpQAhTv{ep+Y3e9N9WoXg8w=L!gLqxS^NmE%wiF% z{nGPiubB!XxBI@V3i@)3v!5WfQtkyk`A#yJj3jzB7@dnhDk3~`w;mHCevx#w8q0%f z{aLf^?Nmukp#3}L@;L=0gy9iHe4+QsK^5SW_BDp-XSV}+PMVkX(eEHnN=%wQicRzo z62MRmWY3bNI}U-#mozd7CzxhmWoeR8M)}R z(U6?n<@e(Tn}Jpu>d>}*=rc_i-Pf${7lBSnpu8AferX|+O; zGYgoAjNk!E9!W5FDi;N(`x?4mzA}71?mZc!X-b6^%R#)ZMiqFTHANoc@it0?|HZQ+ 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z(WH{mU4iGS*Kjt%+l~Qkgb=C9kqht0b3Q^I@*4#It)%Ga$(G2{8gc^4Vj^)T z%cmY>5kg#aE}xOm&oD7sD@<7I3$9S3|KrJt|M6r3r8=X$Kc2k2MEBd1TYr1<#g$#yK%Z(N+Co_Y;79Fj1cVt&SBG4wvBEfO<}u;|X4 zDrtQ>*7dtsyoLo;pa12_@K12z{%17$_sQI^(da+de+H$>3jd`3-lhIEwfmoy`8ehK zL;acI{hR!IFYTXXAM#)1@1FL*$-g%S{z>Yf{zd-oy#1T}`#s^GWIx(p!0Ky@GtUrIagLddi-W^a43(z(Z}yj JNb>97{{h`GUKIcU diff --git a/snark-20120808r02/src/alists.lisp b/snark-20120808r02/src/alists.lisp deleted file mode 100644 index 646f96f..0000000 --- a/snark-20120808r02/src/alists.lisp +++ /dev/null @@ -1,121 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark -*- -;;; File: alists.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2011. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -;; alists are assumed to be well formed: -;; lists of dotted pairs ending with nil -;; car of each dotted pair is a distinct constant - -(defun equal-alist-p (alist1 alist2 subst) - (and - (do ((p1 alist1 (rest p1)) - (p2 alist2 (rest p2))) - (nil) - (dereference - p1 subst - :if-variable (return (dereference p2 subst :if-variable (eq p1 p2))) ;allow variable at end - :if-constant (return (dereference p2 subst :if-constant t)) ;assume p1=p2=nil - :if-compound-cons (unless (dereference p2 subst :if-compound-cons t) - (return nil)))) - (do ((p1 alist1 (rest p1))) - (nil) - (dereference - p1 subst - :if-variable (return t) - :if-constant (return t) - :if-compound-cons (unless (do ((p2 alist2 (rest p2))) - (nil) - (dereference - p2 subst - :if-variable (return nil) - :if-constant (return nil) - :if-compound-cons (when (eql (car (first p1)) (car (first p2))) - (return (equal-p (cdr (first p1)) (cdr (first p2)) subst))))) - (return nil)))))) - -(defun conjoin-alists (alist1 alist2) - (let ((result nil) result-last) - (dolist (x alist1) - (let ((x1 (car x))) - (dolist (y alist2 (collect x result)) - (when (eql x1 (car y)) - (collect (cons x1 (conjoin (cdr x) (cdr y))) result) - (return))))) - (dolist (y alist2) - (let ((y1 (car y))) - (dolist (x alist1 (collect y result)) - (when (eql y1 (car x)) - (return))))) - result)) - -(defun conjoin-alist1 (key value alist) - (labels - ((conjoin-alist1 (alist) - (cond - ((null alist) - (values nil nil)) - (t - (let ((p (first alist))) - (cond - ((eql key (car p)) - (let ((p* (lcons (car p) (conjoin value (cdr p)) p))) - (values (if (eq p p*) alist (cons p* (rest alist))) t))) - (t - (let ((v (rest alist))) - (multiple-value-bind (v* found) (conjoin-alist1 v) - (values (if (eq v v*) alist (cons p v*)) found)))))))))) - (multiple-value-bind (alist* found) (conjoin-alist1 alist) - (if found alist* (cons (cons key value) alist*))))) - -(defun disjoin-alists (alist1 alist2) - (let ((result nil) result-last) - (dolist (x alist1) - (let ((x1 (car x))) - (dolist (y alist2 (collect x result)) - (when (eql x1 (car y)) - (collect (cons x1 (disjoin (cdr x) (cdr y))) result) - (return))))) - (dolist (y alist2) - (let ((y1 (car y))) - (dolist (x alist1 (collect y result)) - (when (eql y1 (car x)) - (return))))) - result)) - -(defun disjoin-alist1 (key value alist) - (labels - ((disjoin-alist1 (alist) - (cond - ((null alist) - (values nil nil)) - (t - (let ((p (first alist))) - (cond - ((eql key (car p)) - (let ((p* (lcons (car p) (disjoin value (cdr p)) p))) - (values (if (eq p p*) alist (cons p* (rest alist))) t))) - (t - (let ((v (rest alist))) - (multiple-value-bind (v* found) (disjoin-alist1 v) - (values (if (eq v v*) alist (cons p v*)) found)))))))))) - (multiple-value-bind (alist* found) (disjoin-alist1 alist) - (if found alist* (cons (cons key value) alist*))))) - -;;; 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-*- Mode: Lisp; Syntax: Common-Lisp; Package: snark -*- -;;; File: argument-bag-ac.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2010. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -(defmacro inc-argument-count (compare-fun term counts inc not-found-form &optional cancel) - (let ((count (gensym)) (v (gensym))) - `(dolist (,v ,counts ,not-found-form) - (let ((,count (tc-count ,v))) - (unless (eql 0 ,count) - (when ,(cond - ((member compare-fun '(equal-p)) - `(,compare-fun ,term (tc-term ,v) subst)) - (t - `(,compare-fun ,term (tc-term ,v)))) - (setf (tc-count ,v) (+ ,count ,inc)) - ,@(when cancel - `((unless ,cancel - (when (if (plusp ,count) (minusp ,inc) (plusp ,inc)) - (setf ,cancel t))))) - (return))))))) - -(defmacro count-argument (fn arg counts inc count-arguments-fun not-found-form &optional cancel) - `(dereference - ,arg subst - :if-variable (inc-argument-count eq ,arg ,counts ,inc ,not-found-form ,cancel) - :if-constant (inc-argument-count eql ,arg ,counts ,inc ,not-found-form ,cancel) - :if-compound (cond - ((and ,fn (eq ,fn (head ,arg))) - ,(if cancel - `(if ,cancel - (setf ,counts (,count-arguments-fun ,fn (args ,arg) subst ,counts ,inc)) - (setf (values ,counts ,cancel) (,count-arguments-fun ,fn (args ,arg) subst ,counts ,inc))) - `(setf ,counts (,count-arguments-fun ,fn (args ,arg) subst ,counts ,inc)))) - (t - (inc-argument-count equal-p ,arg ,counts ,inc ,not-found-form ,cancel))))) - -(defun count-arguments (fn args subst &optional counts (inc 1)) - ;; creates list of term and count pairs for argument list - ;; term and count pair is represented as (term . count) - ;; return 2nd value T if a cancellation occurs - (let ((cancel nil)) - (dolist (arg args) - (count-argument fn arg counts inc count-arguments (push (make-tc arg inc) counts) cancel)) - (if cancel - (values counts t) - counts))) - -(defun recount-arguments (fn terms-and-counts subst) - (let (new-terms-and-counts) - (dolist (tc terms-and-counts) - (let ((term (tc-term tc)) (count (tc-count tc))) - (count-argument fn term new-terms-and-counts count count-arguments (push (make-tc term count) new-terms-and-counts)))) - new-terms-and-counts)) - -(defun term-size-difference (terms-and-counts subst &optional var0) - (let ((n 0)) - (dolist (tc terms-and-counts) - (let ((count (tc-count tc))) - (unless (eql 0 count) - (let ((term (tc-term tc))) - (unless (and var0 (dereference term subst :if-variable (not (variable-frozen-p term)))) - (incf n (* count (size term subst)))))))) - n)) - -;;; argument-bag-ac.lisp EOF diff --git a/snark-20120808r02/src/argument-list-a1.abcl b/snark-20120808r02/src/argument-list-a1.abcl deleted file mode 100644 index 72ab4b729d783ad4939a97bb2239232ed6ca2fe6..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 10348 zcmb7~Ra9NuvaWFn?(XgyT!Kv8VdC!Y?(XgoT!Xv2y9IZdcpyL^K+v14b8kCq?Y-~A z?&D?jhyJ(GTDAJBMz3E<77_{*3=R$sY&tzu8tiWi{r9_(vxS?TnY}BMt(A)_lMx%U zL2ja+;wCF*_|+{#d@!yX6*oyeI@aZ2iGta(lgtIFQ<$7hgT0N)I@9yBEW2f?wNwZ} zz-jkM_ng-&LBANHR}(wNo=w|jZ!dQuipqlTAe1T(Me@*LUV1VX1T)4`dPQf5#*7j+ 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(identity none)) - ;; return list of arguments of associative function fn - ;; return undereferenced args if no flattening or identity elimination - (if (null args) - nil - (labels - ((argument-list-a1* (args) - (let* ((l (rest args)) - (l* (if (null l) nil (argument-list-a1* l))) - (arg (first args)) - (arg* arg)) - (cond - ((dereference arg* subst :if-compound-appl (eq fn (heada arg*))) - (let* ((v (argsa arg*)) - (v* (if (null v) nil (argument-list-a1* v)))) - (cond - ((null l*) - v*) - ((null v*) - l*) - (t - (append v* l*))))) - ((eql identity arg*) - l*) - ((eq l l*) - args) - (t - (cons arg l*)))))) - (argument-list-a1* args)))) - -(defun argument-count-a1 (fn args &optional subst (identity none) dont-count-variables) - (let ((c 0)) - (dolist (arg args) - (dereference - arg subst - :if-compound-appl (if (eq fn (heada arg)) - (incf c (argument-count-a1 fn (argsa arg) subst identity dont-count-variables)) - (incf c)) - :if-compound-cons (incf c) - :if-constant (unless (eql identity arg) - (incf c)) - :if-variable (unless (and dont-count-variables - (neq none identity) - (not (variable-frozen-p arg))) - (incf c)))) - c)) - -(defun similar-argument-list-ac1-p (fn args1 args2 &optional subst (identity none)) - ;; same number of variable, list, constant, and application arguments - ;; also same number of first constant and first function seen - (let ((nvari 0) (nconst 0) (nappl 0) - (const1 none) (head1 none) nconst1 nhead1) - (labels - ((similar-argument-list-ac1-p1 (arg) - (dereference - arg subst - :if-variable (incf nvari) - :if-constant (unless (eql identity arg) - (cond - ((eq const1 none) - (setf const1 arg) - (setf nconst1 1)) - ((eql arg const1) - (incf nconst1)) - (t - (incf nconst)))) - :if-compound (let ((head (head arg))) - (if (eq fn head) - (dolist (x (args arg)) - (similar-argument-list-ac1-p1 x)) - (cond - ((eq head1 none) - (setf head1 head) - (setf nhead1 1)) - ((eq head head1) - (incf nhead1)) - (t - (incf nappl))))))) - (similar-argument-list-ac1-p2 (arg) - (dereference - arg subst - :if-variable (if (eql 0 nvari) - (return-from similar-argument-list-ac1-p nil) - (decf nvari)) - :if-constant (unless (eql identity arg) - (cond - ((eq none const1) - (return-from similar-argument-list-ac1-p nil)) - ((eql arg const1) - (if (eql 0 nconst1) - (return-from similar-argument-list-ac1-p nil) - (decf nconst1))) - (t - (if (eql 0 nconst) - (return-from similar-argument-list-ac1-p nil) - (decf nconst))))) - :if-compound (let ((head (head arg))) - (if (eq fn head) - (dolist (x (args arg)) - (similar-argument-list-ac1-p2 x)) - (cond - ((eq none head1) - (return-from similar-argument-list-ac1-p nil)) - ((eq head head1) - (if (eql 0 nhead1) - (return-from similar-argument-list-ac1-p nil) - (decf nhead1))) - (t - (if (eql 0 nappl) - (return-from similar-argument-list-ac1-p nil) - (decf nappl))))))))) - (dolist (x args1) - (similar-argument-list-ac1-p1 x)) - (dolist (x args2) - (similar-argument-list-ac1-p2 x)) - (and 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You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2011. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -;;; the main purpose of this code is to recognize axioms -;;; for commutativity, associativity, etc. so that the -;;; appropriate function or relation symbol declarations can be -;;; made when running TPTP problems, where stupid and inconvenient -;;; rules do not allow any problem-specific input other than the axioms -;;; -;;; in general, using assertion-analysis to automatically declare -;;; special properties of relations and functions is NOT encouraged - -(in-package :snark) - -(defvar *wff*) - -(declaim (special *extended-variant*)) - -(defvar *assertion-analysis-patterns*) -(defvar *assertion-analysis-function-info*) -(defvar *assertion-analysis-relation-info*) - -(defstruct aa-function - function - (left-identities nil) - (right-identities nil) - (left-inverses nil) - (right-inverses nil) - (commutative nil) - (associative nil) - (closure-relations nil)) - -(defstruct aa-relation - relation - (left-identities nil) - (right-identities nil) - (left-inverses nil) - (right-inverses nil) - (commutative nil) - (assoc1-p nil) - (assoc2-p nil) - (functional-p nil) - (closure-functions nil)) - -(defun aa-function (f) - (let ((f# (funcall *standard-eql-numbering* :lookup f))) - (or (sparef *assertion-analysis-function-info* f#) - (progn - (cl:assert (function-symbol-p f)) - (setf (sparef *assertion-analysis-function-info* f#) - (make-aa-function :function f)))))) - -(defun aa-relation (p) - (let ((p# (funcall *standard-eql-numbering* :lookup p))) - (or (sparef *assertion-analysis-relation-info* p#) - (progn - (cl:assert (function-symbol-p p)) - (setf (sparef *assertion-analysis-relation-info* p#) - (make-aa-relation :relation p)))))) - -(defun print-assertion-analysis-note (name) - (with-standard-io-syntax2 - (format t "~%; Recognized ~A assertion ~S." name (renumber *wff*)))) - -(defun note-function-associative (f) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "associativity")) - (setf (aa-function-associative (aa-function f)) t)) - -(defun note-function-commutative (f) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "commutativity")) - (setf (aa-function-commutative (aa-function f)) t)) - -(defun note-function-left-identity (f e) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "left identity")) - (pushnew e (aa-function-left-identities (aa-function f)))) - -(defun note-function-right-identity (f e) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "right identity")) - (pushnew e (aa-function-right-identities (aa-function f)))) - -(defun note-function-left-inverse (f g e) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "possible left inverse")) - (pushnew (list g e) (aa-function-left-inverses (aa-function f)) :test #'equal)) - -(defun note-function-right-inverse (f g e) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "possible right inverse")) - (pushnew (list g e) (aa-function-right-inverses (aa-function f)) :test #'equal)) - -(defun note-relation-assoc1 (p) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "possible associativity")) - (setf (aa-relation-assoc1-p (aa-relation p)) t)) - -(defun note-relation-assoc2 (p) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "possible associativity")) - (setf (aa-relation-assoc2-p (aa-relation p)) t)) - -(defun note-relation-commutative (p) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "commutativity")) - (setf (aa-relation-commutative (aa-relation p)) t)) - -(defun note-relation-left-identity (p e) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "possible left identity")) - (pushnew e (aa-relation-left-identities (aa-relation p)))) - -(defun note-relation-right-identity (p e) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "possible right identity")) - (pushnew e (aa-relation-right-identities (aa-relation p)))) - -(defun note-relation-left-inverse (p g e) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "possible left inverse")) - (pushnew (list g e) (aa-relation-left-inverses (aa-relation p)) :test #'equal)) - -(defun note-relation-right-inverse (p g e) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "possible right inverse")) - (pushnew (list g e) (aa-relation-right-inverses (aa-relation p)) :test #'equal)) - -(defun note-relation-functional (p) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "relation functionality")) - (setf (aa-relation-functional-p (aa-relation p)) t)) - -(defun note-relation-closure (p f) - (when (print-assertion-analysis-notes?) - (print-assertion-analysis-note "relation function")) - (pushnew f (aa-relation-closure-functions (aa-relation p))) - (pushnew p (aa-function-closure-relations (aa-function f)))) - -(defun function-associativity-tests () - (let ((f (make-function-symbol (gensym) 2)) - (x (make-variable)) - (y (make-variable)) - (z (make-variable))) - (list - ;; (= (f (f x y) z) (f x (f y z))) - (list (make-equality0 (make-compound f (make-compound f x y) z) (make-compound f x (make-compound f y z))) - (list 'note-function-associative f))))) - -(defun function-commutativity-tests () - (let ((f (make-function-symbol (gensym) 2)) - (x (make-variable)) - (y (make-variable))) - (list - ;; (= (f x y) (f y x)) - (list (make-equality0 (make-compound f x y) (make-compound f y x)) - (list 'note-function-commutative f))))) - -(defun function-identity-tests () - (let ((f (make-function-symbol (gensym) 2)) - (e (gensym)) - (x (make-variable))) - (list - ;; (= (f e x) x) - (list (make-equality0 (make-compound f e x) x) - (list 'note-function-left-identity f e)) - ;; (= (f x e) x) - (list (make-equality0 (make-compound f x e) x) - (list 'note-function-right-identity f e))))) - -(defun function-inverse-tests () - (let ((f (make-function-symbol (gensym) 2)) - (g (make-function-symbol (gensym) 1)) - (e (gensym)) - (x (make-variable))) - (list - ;; (= (f (g x) x) e) - (list (make-equality0 (make-compound f (make-compound g x) x) e) - (list 'note-function-left-inverse f g e)) - ;; (= (f x (g x)) e) - (list (make-equality0 (make-compound f x (make-compound g x)) e) - (list 'note-function-right-inverse f g e))))) - -(defun relation-associativity-tests () - (let ((p (make-function-symbol (gensym) 3)) - (x (make-variable)) - (y (make-variable)) - (z (make-variable)) - (u (make-variable)) - (v (make-variable)) - (w (make-variable))) - (let ((a (make-compound p x y u)) - (b (make-compound p y z v)) - (c (make-compound p u z w)) - (d (make-compound p x v w))) - (list - ;; (or (not (p x y u)) (not (p y z v)) (not (p u z w)) (p x v w)) - (list (make-compound *or* - (make-compound *not* a) - (make-compound *not* b) - (make-compound *not* c) - d) - (list 'note-relation-assoc1 p)) - ;; (implies (and (p x y u) (p y z v) (p u z w)) (p x v w)) - (list (make-compound *implies* - (make-compound *and* a b c) - d) - (list 'note-relation-assoc1 p)) - ;; (or (not (p x y u)) (not (p y z v)) (not (p x v w)) (p u z w)) - (list (make-compound *or* - (make-compound *not* a) - (make-compound *not* b) - (make-compound *not* d) - c) - (list 'note-relation-assoc2 p)) - ;; (implies (and (p x y u) (p y z v) (p x v w)) (p u z w)) - (list (make-compound *implies* - (make-compound *and* a b d) - c) - (list 'note-relation-assoc2 p)))))) - -(defun relation-commutativity-tests () - (let ((p (make-function-symbol (gensym) 3)) - (x (make-variable)) - (y (make-variable)) - (z (make-variable))) - (loop for a in (list (make-compound p x y) (make-compound p x y z)) - as b in (list (make-compound p y x) (make-compound p y x z)) - nconc (list - ;; (or (not (p x y)) (p x y)) and (or (not (p x y z)) (p y x z)) - (list (make-compound *or* (make-compound *not* a) b) - (list 'note-relation-commutative p)) - ;; (implies (p x y) (p y x)) and (implies (p x y z) (p y x z)) - (list (make-compound *implies* a b) - (list 'note-relation-commutative p)))))) - -(defun relation-identity-tests () - (let ((p (make-function-symbol (gensym) 3)) - (e (gensym)) - (x (make-variable))) - (list - ;; (p e x x) - (list (make-compound p e x x) - (list 'note-relation-left-identity p e)) - ;; (p x e x) - (list (make-compound p x e x) - (list 'note-relation-right-identity p e))))) - -(defun relation-inverse-tests () - (let ((p (make-function-symbol (gensym) 3)) - (g (make-function-symbol (gensym) 1)) - (e (gensym)) - (x (make-variable))) - (list - ;; (p (g x) x e) - (list (make-compound p (make-compound g x) x e) - (list 'note-relation-left-inverse p g e)) - ;; (p x (g x) e) - (list (make-compound p x (make-compound g x) e) - (list 'note-relation-right-inverse p g e))))) - -(defun relation-functionality-tests () - (let ((p (make-function-symbol (gensym) 3)) - (x (make-variable)) - (y (make-variable)) - (z1 (make-variable)) - (z2 (make-variable))) - (let ((a (make-compound p x y z1)) - (b (make-compound p x y z2)) - (c (make-equality0 z1 z2))) - (list - ;; (or (not (p x y z1)) (not (p x y z2)) (= z1 z2)) - (list - (make-compound *or* - (make-compound *not* a) - (make-compound *not* b) - c) - (list 'note-relation-functional p)) - ;; (implies (and (p x y z1) (p x y z2)) (= z1 z2)) - (list - (make-compound *implies* - (make-compound *and* a b) - c) - (list 'note-relation-functional p)))))) - -(defun relation-closure-tests () - (let ((p (make-function-symbol (gensym) 3)) - (f (make-function-symbol (gensym) 2)) - (x (make-variable)) - (y (make-variable))) - (list - (list - (make-compound p x y (make-compound f x y)) - (list 'note-relation-closure p f))))) - -(defun initialize-assertion-analysis () - (setf *assertion-analysis-function-info* (make-sparse-vector)) - (setf *assertion-analysis-relation-info* (make-sparse-vector)) - (setf *assertion-analysis-patterns* - (nconc (function-associativity-tests) - (function-commutativity-tests) - (function-identity-tests) - (function-inverse-tests) - (relation-associativity-tests) - (relation-commutativity-tests) - (relation-identity-tests) - (relation-inverse-tests) - (relation-functionality-tests) - (relation-closure-tests) - )) - nil) - -(defun assertion-analysis (row) - (prog-> - (when (row-bare-p row) - (row-wff row -> wff) - (identity wff -> *wff*) - (quote t -> *extended-variant*) - (dolist *assertion-analysis-patterns* ->* x) - (variant (first x) wff nil nil ->* varpairs) - (sublis varpairs (second x) -> decl) - (apply (first decl) (rest decl)) - (return-from assertion-analysis)))) - -(defun maybe-declare-function-associative (f) - (unless (function-associative f) - (when (or (use-associative-unification?) (function-commutative f)) - (with-standard-io-syntax2 - (if (function-commutative f) - (format t "~%; Declaring ~A to be associative-commutative." (function-name f)) - (format t "~%; Declaring ~A to be associative." (function-name f)))) - (declare-function (function-name f) (function-arity f) :associative t)))) - -(defun maybe-declare-function-commutative (f) - (unless (function-commutative f) - (with-standard-io-syntax2 - (if (function-associative f) - (format t "~%; Declaring ~A to be associative-commutative." (function-name f)) - (format t "~%; Declaring ~A to be commutative." (function-name f)))) - (declare-function (function-name f) (function-arity f) :commutative t))) - -(defun maybe-declare-relation-commutative (p) - (unless (function-commutative p) - (with-standard-io-syntax2 - (format t "~%; Declaring ~A to be commutative." (function-name p))) - (declare-relation (function-name p) (function-arity p) :commutative t))) - -(defun maybe-declare-function-identity (f e) - (unless (neq none (function-identity f)) - (when (and (use-associative-identity?) (function-associative f) (or (use-associative-unification?) (function-commutative f))) - (with-standard-io-syntax2 - (format t "~%; Declaring ~A to have identity ~A." (function-name f) e)) - (declare-function (function-name f) (function-arity f) :identity e)))) - -(defun aa-relation-associative (p) - (if (or (aa-relation-commutative p) - (function-commutative (aa-relation-relation p))) - (or (aa-relation-assoc1-p p) (aa-relation-assoc2-p p)) - (and (aa-relation-assoc1-p p) (aa-relation-assoc2-p p)))) - -(defun complete-assertion-analysis () - (prog-> - (map-sparse-vector *assertion-analysis-function-info* ->* f) - (when (aa-function-commutative f) - (maybe-declare-function-commutative (aa-function-function f))) - (when (aa-function-associative f) - (maybe-declare-function-associative (aa-function-function f)))) - (prog-> - (map-sparse-vector *assertion-analysis-relation-info* ->* p) - (when (aa-relation-commutative p) - (maybe-declare-relation-commutative (aa-relation-relation p)) - (when (aa-relation-functional-p p) - (dolist (f (aa-relation-closure-functions p)) - (maybe-declare-function-commutative f)))) - (when (aa-relation-associative p) - (when (aa-relation-functional-p p) - (dolist (f (aa-relation-closure-functions p)) - (maybe-declare-function-associative f))))) - (prog-> - (map-sparse-vector *assertion-analysis-function-info* ->* f) - (aa-function-left-identities f -> left-identities) - (aa-function-right-identities f -> right-identities) - (aa-function-function f -> f) - (if (function-commutative f) (union left-identities right-identities) (intersection left-identities right-identities) -> identities) - (when (and identities (null (rest identities))) - (maybe-declare-function-identity f (first identities)))) - (prog-> - (map-sparse-vector *assertion-analysis-relation-info* ->* p) - (aa-relation-left-identities p -> left-identities) - (aa-relation-right-identities p -> right-identities) - (when (and (or left-identities right-identities) (aa-relation-functional-p p)) - (dolist (aa-relation-closure-functions p) ->* f) - (if (function-commutative f) (union left-identities right-identities) (intersection left-identities right-identities) -> identities) - (when (and identities (null (rest identities))) - (maybe-declare-function-identity f (first identities)))))) - -(define-plist-slot-accessor row :pure) - -(defun atom-rel# (atom) - (dereference - atom nil - :if-constant (constant-number atom) - :if-compound (function-number (head atom)))) - -(defun purity-test (row-mapper) - (let ((relation-reference-counts (make-sparse-vector :default-value 0))) - (flet ((adjust-reference-counts (row n) - (prog-> - (map-atoms-in-wff (row-wff row) ->* atom polarity) - (atom-rel# atom -> rel#) - (ecase polarity - (:pos - (incf (sparef relation-reference-counts rel#) n)) - (:neg - (incf (sparef relation-reference-counts (- rel#)) n)) - (:both - (incf (sparef relation-reference-counts rel#) n) - (incf (sparef relation-reference-counts (- rel#)) n)))))) - ;; count occurrences of signed relations - (prog-> - (funcall row-mapper ->* row) - (unless (or (row-hint-p row) (eq :checking (row-pure row))) - ;; row might be mapped more than once, put :checking in pure slot and count once - (setf (row-pure row) :checking) - (adjust-reference-counts row 1))) - (loop - (when (print-pure-rows?) - (with-clock-on printing - (format t "~2&; Purity test finds") - (prog-> - (map-sparse-vector-with-indexes relation-reference-counts ->* count signedrel#) - (abs signedrel# -> rel#) - (if (= signedrel# rel#) (- rel#) rel# -> oppsignedrel#) - (sparef relation-reference-counts oppsignedrel# -> oppcount) - (unless (and (< 0 signedrel#) (< 0 oppcount)) - (format t "~%; ~5D positive and ~5D negative occurrences of ~S." - (if (< 0 signedrel#) count oppcount) - (if (> 0 signedrel#) count oppcount) - (symbol-numbered rel#)))))) - (let ((purerels nil)) - ;; list in purerels relations that occur only positively or only negatively - (prog-> - (map-sparse-vector-indexes-only relation-reference-counts ->* signedrel#) - (abs signedrel# -> rel#) - (if (= signedrel# rel#) (- rel#) rel# -> oppsignedrel#) - (when (= 0 (sparef relation-reference-counts oppsignedrel#)) - (symbol-numbered rel# -> symbol) - (if (< 0 signedrel#) "positively" "negatively" -> sign) - (cond - ((not (function-symbol-p symbol)) - (push rel# purerels) - (warn "~S is a proposition that occurs only ~A; disabling rows that contain it." symbol sign)) - ((or (eq *=* symbol) - (function-rewrite-code symbol) - (if (< 0 signedrel#) (function-falsify-code symbol) (function-satisfy-code symbol))) - ) - ((integerp (function-arity symbol)) - (push rel# purerels) - (warn "~S is a ~D-ary relation that occurs only ~A; disabling rows that contain it." symbol (function-arity symbol) sign)) - (t - (push rel# purerels) - (warn "~S is a relation that occurs only ~A; disabling rows that contain it." symbol sign))))) - ;; if purerels is empty, no (more) pure rows, remove :checking and return - (when (null purerels) - (prog-> - (funcall row-mapper ->* row) - (when (eq :checking (row-pure row)) - (setf (row-pure row) nil))) - (return)) - ;; if row contains a relation in purerels, mark it as pure and decrement reference counts - ;; maybe some relations will be newly pure, so loop - (prog-> - (funcall row-mapper ->* row) - (when (eq :checking (row-pure row)) - (when (prog-> - (map-atoms-in-wff (row-wff row) ->* atom polarity) - (declare (ignore polarity)) - (when (member (atom-rel# atom) purerels) - (return-from prog-> t))) - (setf (row-pure row) t) - (adjust-reference-counts row -1) - (print-pure-row row)))))) - nil))) - -;;; assertion-analysis.lisp EOF diff --git a/snark-20120808r02/src/assertion-file.abcl b/snark-20120808r02/src/assertion-file.abcl deleted file mode 100644 index 6821b81db58e2a6709b67bdaa4210086348986c8..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 149678 zcmbTeRa6{Wlr2hdso+w$yA>|MU4y$raCe6UDcpifkl-F%1Hs)bxVyWG*c z$2hO*r+)VST669xYm}la6f`CTJUl$a@1!7Ui2w3Iefw?X>}=}fVrg&3Xl7|+%4ATk zv*@(RiSE0rk$sdFnMW6muu@!J&ZrHxEvHo`EgtYNsBdMHVU_OvC@p<+3l$43rSv&0 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has-documentation (documentation) - `(setf *form-documentation* ',documentation)) - -(defmacro has-name (name) - `(setf *form-name* ',name)) - -(defmacro has-source (source) - `(setf *form-source* ',source)) - -(declare-snark-option assertion-file-commands - '(assertion - has-author ;has-xxx specifies xxx for later assertions - has-documentation - has-name - has-source - in-package - in-language - in-kb - declare-constant - declare-function - declare-relation - declare-sort - declare-subsort - declare-sorts-incompatible - declare-tptp-sort - ) ;every other form is an assertion - :never-print) - -(declare-snark-option assertion-file-keywords - '((:author *form-author*) - (:documentation *form-documentation*) - (:name *form-name*) - (:source *form-source*)) - :never-print) - -(declare-snark-option assertion-file-format nil :never-print) -(declare-snark-option assertion-file-if-does-not-exist :error :never-print) -(declare-snark-option assertion-file-verbose nil :never-print) -(declare-snark-option assertion-file-package :snark-user :never-print) -(declare-snark-option assertion-file-readtable nil :never-print) -(declare-snark-option assertion-file-negate-conjectures nil :never-print) - -(defun read-assertion-file (filespec - &key - (format (assertion-file-format?)) - (if-does-not-exist (assertion-file-if-does-not-exist?)) - (verbose (assertion-file-verbose?)) - (package (or (assertion-file-package?) *package*)) - (readtable (or (assertion-file-readtable?) *readtable*)) - (negate-conjectures (assertion-file-negate-conjectures?)) - hash-dollar - (clock t)) - ;; read-asssertion-file executes commands and return a list of calls on 'assertion' - ;; every form that is not a command (commands are named in (assertion-file-commands?)) - ;; is treated as a formula to be asserted - (declare (ignorable verbose hash-dollar)) - (let ((sort-declarations nil) - (subsort-declarations nil)) - (labels - ((raf0 () - (prog-> - (identity readtable -> *readtable*) - (identity (assertion-file-commands?) -> commands) - (identity (assertion-file-keywords?) -> keywords) - (progv (mapcar #'second keywords) - (consn nil nil (length keywords)) - (funcall (let ((type (pathname-type filespec))) - (cond - ((or (string-equal "tptp" type) (string-equal "p" type) (string-equal "ax" type)) - 'mapnconc-tptp-file-forms) - ((or (string-equal "lisp" type) (string-equal "kif" type)) - 'mapnconc-file-forms) - ((eq :tptp format) - 'mapnconc-tptp-file-forms) - (t - 'mapnconc-file-forms))) - filespec - :if-does-not-exist if-does-not-exist - :package package - ->* form) - (when form ;ignore nils - (and (consp form) - (symbolp (first form)) - (first (member (first form) commands - :test #'string-equal ;command matching ignores package and case - :key #'symbol-name)) - -> command) - (case command - ((nil) - (setf form (list 'assertion form))) - (assertion - (setf form (cons command (append (rest form) nil))) - (setf command nil)) - ((declare-sort declare-tptp-sort) - (setf form (cons command (rest form))) - (push form sort-declarations)) - (declare-subsort - (setf form (cons command (rest form))) - (push form subsort-declarations)) - ((declare-sorts-incompatible declare-constant declare-function declare-relation) - (setf form (cons command (rest form))) - (setf command nil)) - (otherwise - (eval (cons command (rest form))))) - (unless command - (case (and (consp form) (first form)) - (assertion - (cond - ((getf (cddr form) :ignore) - nil) - (t - (when (and negate-conjectures (eq 'conjecture (getf (cddr form) :reason))) - (setf (second form) (list 'not (second form))) - (setf (getf (cddr form) :reason) 'negated_conjecture)) - (dolist (x keywords) - (let ((v (symbol-value (second x)))) - (when (and v (eq none (getf (cddr form) (first x) none))) - (nconc form (list (first x) v))))) - (list form)))) - (otherwise - (list form)))))))) - (raf () - (let ((l (raf0))) - (cond - (subsort-declarations - (setf subsort-declarations (topological-sort (nreverse subsort-declarations) 'must-precede-in-assertion-file)) - (setf l (append subsort-declarations l)) - (dolist (x sort-declarations) - (unless (member (unquote (second x)) subsort-declarations :key #'(lambda (x) (unquote (second x)))) - (push x l)))) - (t - (dolist (x sort-declarations) - (push x l)))) - l))) - (if clock - (with-clock-on read-assertion-file (raf)) - (raf))))) - -(defun must-precede-in-assertion-file (x y) - (ecase (first x) - ((declare-sort declare-subsort) - (ecase (first y) - ((declare-sort declare-subsort) - (leafp (unquote (second x)) y)) - ((declare-sorts-incompatible declare-constant declare-function declare-relation declare-proposition assertion) - t))) - (declare-sorts-incompatible - (ecase (first y) - ((declare-sort declare-subsort declare-sorts-incompatible) - nil) - ((declare-constant declare-function declare-relation declare-proposition assertion) - t))) - ((declare-constant declare-function declare-relation declare-proposition) - (eq 'assertion (first y))) - (assertion - nil))) - -(declare-snark-option refute-file-initialize t :never-print) -(declare-snark-option refute-file-closure t :never-print) -(declare-snark-option refute-file-options nil :never-print) -(declare-snark-option refute-file-actions nil :never-print) -(declare-snark-option refute-file-ignore-errors nil :never-print) -(declare-snark-option refute-file-verbose t :never-print) -(declare-snark-option refute-file-output-file nil :never-print) -(declare-snark-option refute-file-if-exists nil :never-print) - -(defun refute-file (filespec - &key - (initialize (refute-file-initialize?)) - (closure (refute-file-closure?)) - (format (assertion-file-format?)) - (options (refute-file-options?)) - (actions (refute-file-actions?)) - (ignore-errors (refute-file-ignore-errors?)) - (verbose (refute-file-verbose?)) - (output-file (refute-file-output-file?)) - (if-exists (refute-file-if-exists?)) - (package (or (assertion-file-package?) *package*)) - (readtable (or (assertion-file-readtable?) *readtable*)) - (use-coder nil)) - (labels - ((refute-file0 () - (cond - (use-coder - (multiple-value-bind (axioms target op pred) (snark-user::condensed-detachment-problem-p (read-assertion-file filespec)) - (declare (ignorable pred)) - (if op - (snark-user::coder axioms target :op op :run-time-limit (if (numberp use-coder) use-coder nil)) - (format t "~%Not recognized as a condensed-detachment problem.")))) - (t - (when initialize - (initialize)) - (mapc #'eval options) - (mapc #'eval (funcall 'read-assertion-file filespec - :format format - :package package - :readtable readtable)) - (mapc #'eval actions) - (when closure - (or (let ((*szs-filespec* filespec)) (closure)) :done))))) - (refute-file1 () - (if verbose - (let ((result (time (refute-file0)))) - (case result - (:proof-found - (unless (member (print-final-rows?) '(:tptp :tptp-too)) - (print-szs-status result nil filespec))) - ((:run-time-limit :agenda-empty) - (print-szs-status result nil filespec))) - (prin1 result)) - (refute-file0))) - (refute-file2 () - (prog2 - (when verbose - (format t "~&; Begin refute-file ~A " filespec) (print-current-time) (terpri)) - (if ignore-errors - (mvlet (((values value condition) (ignore-errors (refute-file1)))) - (or value (princ condition))) - (refute-file1)) - (when verbose - (format t "~&; End refute-file ~A " filespec) (print-current-time) (terpri))))) - (if output-file - (with-open-file (stream output-file :direction :output :if-exists if-exists) - (when stream - (let ((*standard-output* stream) (*error-output* stream) (*trace-output* stream)) - (refute-file2)))) - (refute-file2)))) - -;;; assertion-file.lisp EOF diff --git a/snark-20120808r02/src/clocks.abcl b/snark-20120808r02/src/clocks.abcl deleted file mode 100644 index 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z4u@}uwNq{An-99L#H|Nh*f$a&liBC$=uoRPBT_bc6nl>L4HOxe_j>o73#p;6z*uKV zY-yNfNg@!E2$XmxdXk}4z4(B_@o61KXqst%JfZva?U5kDeZWDzA~ivut{bmNTfE5D z^83(uYTRHP_ace>HJj4Uzz->%bJrgn-tp3qb#k~V8b)**Ie5TIzZwx!@L((GsrmF9 zfug|E_il9k&iZW$krs#>wqP0?;pW7F&$#YwInK^0)f*c^&_@&M$)R z&(o=n))h=Lj6Z&?7ws*7`mtVK|L4y7H+9jl?WgtSpVf6fe)$jej}hkI~b|DgXGNf&qTWt3Ux5BlFwx_17oih*(C{5N%8 KTtyoE{P!Pjlt0}7 diff --git a/snark-20120808r02/src/clocks.lisp b/snark-20120808r02/src/clocks.lisp deleted file mode 100644 index 467d85b..0000000 --- a/snark-20120808r02/src/clocks.lisp +++ /dev/null @@ -1,169 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark-lisp -*- -;;; File: clocks.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2011. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-lisp) - -(defvar *clocks* nil) - -(defun make-clock-variable (name) - (cl:assert (symbolp name)) - (let* ((s (symbol-name name)) - (v (intern (to-string "*%" s :-time%*) :snark-lisp)) - (w (intern (to-string "*%" s :-count%*) :snark-lisp))) - (unless (assoc v *clocks*) - (setf *clocks* (nconc *clocks* (list (list v w)))) - (proclaim `(special ,v ,w))) - (values v w))) - -(mapc #'make-clock-variable - '( - read-assertion-file - assert - process-new-row - resolution - paramodulation - factoring - equality-factoring - embedding - condensing - forward-subsumption - backward-subsumption - clause-clause-subsumption - forward-simplification - backward-simplification - ordering - ordering-ac - sortal-reasoning - temporal-reasoning - constraint-simplification - term-hashing - path-indexing - instance-graph-insertion - purity-testing - relevance-testing - satisfiability-testing - printing - halted - test1 - test2 - test3 - )) - -(defvar *excluded-clocks* '(*%printing-time%* *%halted-time%*)) - -(defvar *running-clocks* nil) -(defvar *first-real-time-value* 0) -(defvar *first-run-time-value* 0) -(defvar *last-run-time-value* 0) -(defvar *run-time-mark* 0) -(declaim (type integer *first-real-time-value* *first-run-time-value* *last-run-time-value* *run-time-mark*)) -(defvar *total-seconds* 0.0) - -(defun initialize-clocks (&optional (excluded-clocks *excluded-clocks*)) - (cl:assert (null *running-clocks*)) - (setf *first-real-time-value* (get-internal-real-time)) - (setf *run-time-mark* (setf *first-run-time-value* (get-internal-run-time))) - (setf *excluded-clocks* excluded-clocks) - (dolist (l *clocks*) - (dolist (v l) - (setf (symbol-value v) 0)))) - -(defmacro with-clock-on (clock &body body) - (let (count) - (setf (values clock count) (make-clock-variable clock)) - (let ((previously-running-clocks (make-symbol (symbol-name 'previously-running-clocks))) - (first-previously-running-clock (make-symbol (symbol-name 'first-previously-running-clock)))) - `(let* ((,previously-running-clocks *running-clocks*) - (,first-previously-running-clock (first ,previously-running-clocks))) - (unless (eq ',clock ,first-previously-running-clock) - (if ,previously-running-clocks - (decf (symbol-value ,first-previously-running-clock) (- *last-run-time-value* (setf *last-run-time-value* (get-internal-run-time)))) - (setf *last-run-time-value* (get-internal-run-time))) - (incf (symbol-value ',count)) - (setf *running-clocks* (cons ',clock ,previously-running-clocks))) - (unwind-protect - (progn ,@body) - (unless (eq ',clock ,first-previously-running-clock) - (setf *running-clocks* ,previously-running-clocks) - (decf (symbol-value ',clock) (- *last-run-time-value* (setf *last-run-time-value* (get-internal-run-time)))))))))) - -(defmacro with-clock-off (clock &body body) - ;; dummy with-clock-on - (make-clock-variable clock) - `(progn ,@body)) - -(defun clock-name (clock) - (let ((name (symbol-name clock))) - (nsubstitute #\ #\- (subseq name 2 (- (length name) 7))))) - -(defun print-clocks (&optional (excluded-clocks *excluded-clocks*)) - (let ((total-ticks (- (get-internal-run-time) *first-run-time-value*)) - (time-included 0) - (time-excluded 0)) - (format t "~%; Run time in seconds") - (dolist (l *clocks*) - (let* ((clk (first l)) - (run-time (symbol-value clk))) - (cond - ((eql 0 run-time) - ) - ((member clk excluded-clocks) - (format t (if (eql 0 time-excluded) " excluding ~(~A~)" ", ~(~A~)") (clock-name clk)) - (incf time-excluded run-time)) - (t - (incf time-included run-time))))) - (unless (eql 0 time-excluded) - (decf total-ticks time-excluded) - (format t " time")) - (princ ":") - (dolist (l *clocks*) - (let ((clk (first l)) - (cnt (second l))) - (unless (member clk excluded-clocks) - (let ((run-time (symbol-value clk)) - (count (symbol-value cnt))) - (unless (eql 0 count) - (format t "~%;~10,3F ~3D% ~@(~A~)~48T(~:D call~:P)" - (/ run-time (float internal-time-units-per-second)) - (if (eql 0 total-ticks) 0 (percentage run-time total-ticks)) - (clock-name clk) - count)))))) - (let ((other-time (- total-ticks time-included))) - (format t "~%;~10,3F ~3D% Other" - (/ other-time (float internal-time-units-per-second)) - (if (eql 0 total-ticks) 0 (percentage other-time total-ticks)))) - (setf *total-seconds* (/ total-ticks (float internal-time-units-per-second))) - (format t "~%;~10,3F Total" *total-seconds*) - (format t "~%;~10,3F Real time" (/ (- (get-internal-real-time) *first-real-time-value*) (float internal-time-units-per-second))) - *total-seconds*)) - -(defun total-run-time (&optional (excluded-clocks *excluded-clocks*)) - (let ((total-ticks (- (get-internal-run-time) *first-run-time-value*))) - (dolist (l *clocks*) - (let ((clk (first l))) - (when (member clk excluded-clocks) - (decf total-ticks (symbol-value clk))))) - (/ total-ticks (float internal-time-units-per-second)))) - -(defun print-incremental-time-used () - (let ((time (get-internal-run-time))) - (format t " ;~,3Fsec" (/ (- time *run-time-mark*) (float internal-time-units-per-second))) - (setf *run-time-mark* time))) - -;;; clocks.lisp EOF diff --git a/snark-20120808r02/src/closure1.lisp b/snark-20120808r02/src/closure1.lisp deleted file mode 100644 index 0ec98c0..0000000 --- a/snark-20120808r02/src/closure1.lisp +++ /dev/null @@ -1,66 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark -*- -;;; File: closure1.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2012. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -;;; simple closure algorithm for small deduction tasks -;;; that do not require features like indexing for performance - -(defun closure1 (items &key done unary-rules binary-rules ternary-rules (subsumption-test #'equal)) - ;; compute closure of the union of items and done using rules and subsumption-test - ;; if done is given as an argument, it is assumed to be closed already - (flet ((unsubsumed (l1 l2 subsumption-test) - ;; return items in l2 that are not subsumed by any item in l1 - (delete-if #'(lambda (item2) - (some #'(lambda (item1) - (funcall subsumption-test item1 item2)) - l1)) - l2))) - (let ((todo (make-deque))) - (dolist (item items) - (deque-push-last todo item)) - (loop - (when (deque-empty? todo) - (return done)) - (let ((item1 (deque-pop-first todo))) - (when (unsubsumed done (list item1) subsumption-test) - (setf done (cons item1 (unsubsumed (list item1) done subsumption-test))) - (prog-> - (dolist unary-rules ->* rule) - (funcall rule item1 ->* new-item) - (when (eq :inconsistent new-item) - (return-from closure1 new-item)) - (deque-push-last todo new-item)) - (prog-> - (dolist binary-rules ->* rule) - (dolist done ->* item2) - (funcall rule item1 item2 ->* new-item) - (when (eq :inconsistent new-item) - (return-from closure1 new-item)) - (deque-push-last todo new-item)) - (prog-> - (dolist ternary-rules ->* rule) - (dolist done ->* item2) - (dolist done ->* item3) - (funcall rule item1 item2 item3 ->* new-item) - (when (eq :inconsistent new-item) - (return-from closure1 new-item)) - (deque-push-last todo new-item)))))))) - -;;; closure1.lisp EOF diff --git a/snark-20120808r02/src/code-for-bags4.abcl b/snark-20120808r02/src/code-for-bags4.abcl deleted file mode 100644 index e14fe3c239c4b183f300052cfa623c94866ee035..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 19234 zcmbT7gL5VRw&gq4iEZ0<(&^ag*tXTNaXPkb+qToOZQD+!fA_wrnwom^s_vvts?Hy< 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zHQ_f8h6&&?Wpope_spQ0zy%BvG&g_;kI+p(Ui^=0!ek&9%>;0>9^C}wMd7F>@JL{o z0IoREO+a47iE4tG6ov`lrR3-)Ag}I2HQ~4%h6&)cpXeqauP;J1;iCeE3E(w>=q4af zZ-d$l2(VEF!vsU{sw8wHkmtuxjVRH=Gy*&;j&20|D!;`2+s2E}z zfi+zs_Z(4;s5Qkj0&BuVZk(YSp=yI^1lE*^Tza4y!Rm-<1T<-~0z14641z$I3TzrK HcLVVN|3b!> diff --git a/snark-20120808r02/src/code-for-bags4.lisp b/snark-20120808r02/src/code-for-bags4.lisp deleted file mode 100644 index b27e2c2..0000000 --- a/snark-20120808r02/src/code-for-bags4.lisp +++ /dev/null @@ -1,116 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark -*- -;;; File: code-for-bags4.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2012. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -(defvar *singleton-bag*) -(defvar *bag-union*) - -;;; $$bag and $$bag* terms are translated into a standardized internal representation for bags -;;; that has $$$bag-union as the top function symbol -;;; ($$bag) -> ($$bag-union) -;;; ($$bag a) -> ($$bag-union ($$singleton-bag a)) -;;; ($$bag a b) -> ($$bag-union ($$singleton-bag a) ($$singleton-bag b)) -;;; ($$bag a b c) -> ($$bag-union ($$singleton-bag a) ($$singleton-bag b) ($$singleton-bag c)) -;;; ($$bag* a) -> ($$bag-union a) -;;; ($$bag* a b) -> ($$bag-union ($$singleton-bag a) b) -;;; ($$bag* a b c) -> ($$bag-union ($$singleton-bag a) ($$singleton-bag b) c) - -;;; variables and terms that represent bags should always be enclosed in bag-union, bag, or bag* symbols -;;; (bag-union a ?x) and a are not recognized as unifiable because they have different head symbols -;;; (bag-union a ?x) and (bag-union a) can be unified - -(defun declare-code-for-bags () - (declare-subsort 'bag :top-sort-a) - (declare-characteristic-relation '$$bagp #'bagp 'bag) - (declare-function1 '$$bag :any :macro t :input-code 'input-bag-term) - (declare-function1 '$$bag* :any :macro t :input-code 'input-bag*-term) - (setf *singleton-bag* ;should only be used as argument of bag-union - (declare-function1 '$$singleton-bag 1 ;unexported symbol that shouldn't be visible to user - :sort 'bag - :constructor t)) - (setf *bag-union* - (declare-function1 '$$bag-union 2 - :sort '(bag (t bag)) - :associative t - :commutative t - :identity '(function) ;use (bag-union) as identity - :keep-head t - :to-lisp-code 'bag-union-term-to-lisp)) - (declare-ordering-greaterp '$$bag-union '$$singleton-bag) - (declare-function1 '$$bag-to-list 1 :sort 'list :rewrite-code #'(lambda (x s) (bag-to-list (arg1 x) s))) - (declare-function1 '$$list-to-bag 1 :sort 'bag :rewrite-code #'(lambda (x s) (list-to-bag (arg1 x) s))) - nil) - -(defun bagp (x &optional subst) - (dereference x subst :if-compound-appl (eq *bag-union* (heada x)))) - -(defun input-bag-term (head args polarity) - (declare (ignore head)) - (input-term1 `($$bag-union ,@(mapcar #'(lambda (arg) `($$singleton-bag ,arg)) args)) polarity)) - -(defun input-bag*-term (head args polarity) - (require-n-or-more-arguments head args polarity 1) - (input-term1 `($$bag-union ,@(mapcar #'(lambda (arg) `($$singleton-bag ,arg)) (butlast args)) ,(first (last args))) polarity)) - -(defun bag-union-term-to-lisp (head args subst) - (mvlet* (((:values u v) (split-if #'(lambda (x) (dereference x subst :if-compound-appl (eq *singleton-bag* (heada x)))) - (argument-list-a1 head args subst))) - (u (mapcar #'(lambda (x) (dereference x subst) (term-to-lisp (arg1a x) subst)) u)) - (v (mapcar #'(lambda (x) (term-to-lisp x subst)) v))) - (cond - ((null v) - `(,(current-function-name '$$bag :any) ,@u)) - ((null u) - `(,(function-name *bag-union*) ,@v)) - (t - `(,(function-name *bag-union*) (,(current-function-name '$$bag :any) ,@u) ,@v))))) - -(defun bag-to-list (bag &optional subst) - (dereference - bag subst - :if-variable none - :if-constant none - :if-compound-cons none - :if-compound-appl (cond - ((eq *bag-union* (heada bag)) - (mapcar #'(lambda (x) - (if (dereference x subst :if-compound-appl (eq *singleton-bag* (heada x))) - (first (argsa x)) - (return-from bag-to-list none))) - (argument-list-a1 *bag-union* (argsa bag) subst))) - (t - none)))) - -(defun list-to-bag (list &optional subst) - (dereference - list subst - :if-variable none - :if-compound-appl none - :if-constant (if (null list) (make-compound *bag-union*) none) - :if-compound-cons (let ((sbags nil)) - (loop - (push (make-compound *singleton-bag* (pop list)) sbags) - (dereference - list subst - :if-variable (return none) - :if-compound-appl (return none) - :if-constant (return (if (null list) (make-compound* *bag-union* (reverse sbags)) none))))))) - -;;; code-for-bags4.lisp EOF diff --git a/snark-20120808r02/src/code-for-lists2.abcl b/snark-20120808r02/src/code-for-lists2.abcl deleted 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'input-lisp-list) - (declare-function1 '$$list* :any :macro t :input-code 'input-lisp-list*) - - (declare-characteristic-relation '$$listp #'listp 'list) - nil) - -;;; code-for-lists2.lisp EOF diff --git a/snark-20120808r02/src/code-for-numbers3.abcl b/snark-20120808r02/src/code-for-numbers3.abcl deleted file mode 100644 index 23f25b1ef42126170951d4885b55811b65e829fa..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 87751 zcmbTdQzZB?q$wr$(aN~6-YZJS;1yLbPi5B}~k_7_Jn;vi1q znrp^dbKQzEpkQb~P*6}n3n@WTK>x>u`uE=0-o%vN%-)IK&ehh))XABZ!C+C-+J27< z?Q^QO?#DU?S!x$yRYh_pR#?X1g8UlbcT`$Rc6K&>RKMHP^|h;qyQH+R#+k20u$DeUs+FzFRr(G2$|8a%oxzoo}E~rI?KLUuk?(->Y3LnI_wHC1n|VRPrSjKjR<`qkrX^dpvzSU^_gH_xuoQ z-1HDqgy|(F6*$CiN?D2=g`aE&Fp>#Z5&W3^`E=-%z%NHAs6eSjaH|aB1Cpm;ooCkB ztyO3cfE63&E&_qZE++c|&(wBf`5oi1fNZ(2iXFpsufn*R4O5QPX)NCjL~t*;vKsIp zgv4{~h@+<>uoi(ebNIF6i{ll(ksDZ$%%Q9|FLsPcxK=i+T)Ri)jm>9vD=~&$179F) zA*ZHJRqKa@9U8Q#)Py&rKCXC>@TJb(uqB>RlF7n^gUOH>C1+nL!AaC{y7Kd3xGn6} 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z*c*qkXQ5n7PcjV}>$BorO=W%_b$EH}lH1)e*k-l&=jQ0UP9q=>SDQb2VZDipN&4e-i4x<4rpPEZP{aASy@K5hc7TL1(yFV{%t z0VoAjxw_0jh&=$s?h56V7$^l)x|Qj85G8;j0(=uLmnHKNC~aC|k0i6j1HHK}J>62Pi66D3S7@6j1F}zVF;I04S;!0V()j=ts+D)@lbWZ{(lUFEuPe3W4+GXN# z{*VGtrmj%#>wr=~wY#1_Ly%ymNg4d3aEAiMH;i~01CmCvUFO3 zQb4sU)K$^{0icjyp>*4VQb4tg41zXYRjgKF1`WWe?=FgE&L8KK(9S%wX)h@}0P2wofvgk#EQb4uq4~aL518Vc>O6&5*fKouUo4tpc&ji}K z_{pFYQ0-E?aX@}kg0J+EPZ}r%T)R5aD8G9;@Cs!&6O;m~U4EN6A|8MeeuZL~3rYdi zuC-%7(@S9LP6sStE^BxC4H$(7RJ+WCPvF154Axill2Z&y0oAS<;o|A<`HRUFieVWj z1ysAfh0f-70LAnQg{T6Q0;*k11+LctK)X0zX_x*=PztDaF}p%jk$^rzxza}|??EY` z+C>qmLq!KDX;(bG*Z@ia)vllD3Q{LPxjKXAX#%ByYByB0-eezW-MlMh5pM&ffNB>_ zVi?4iN)-HB0808+Qb}v3ndzn%`1WEzb?!|`~FH^+FK`Efx zz4&U|WlHiiC~d70A107?PX?#0x?%M?2%PztDaFJ``7rrc!)rGRSp zVjk9I${-6E<)56nKUH@zP3STukQI~y`rW;lv~rok&JIce)$YZlip!K04p0iHc0XN+ z;a{eNae-1mwR. - -(in-package :snark) - -;;; SNARK can evaluate arithmetic expressions as if by table lookup -;;; for procedurally attached relations and functions -;;; -;;; most of what SNARK "knows" about numbers is limited by this notion of table lookup; -;;; few if any more general properties are known -;;; like (= (+ x 0) x), (= (* x 0) 0), (exists (x) (< x 0)), -;;; associativity and commutativity of + and *, etc. -;;; -;;; this is intended to provide simple arithmetic calculation and not much if any symbolic algebra -;;; -;;; SNARK numbers are represented by Lisp rational numbers (integers or ratios) -;;; and complex numbers with rational real and imaginary parts -;;; -;;; floating-point numbers are replaced by rationals when input -;;; -;;; SNARK number type hierarchy: number = complex > real > rational > integer -;;; -;;; arithmetic relations are encoded in terms of $less -;;; using lexicographic ordering of complex numbers -;;; that also enables additive cancellation law -;;; and multiplicative cancellation law for multiplication by nonzero reals - -(defvar *sum*) -(defvar *product*) -(defvar *less*) -(defvar *reciprocal*) - -(defun rnumberp (x) - ;; test for SNARK number, no floats - (or (rationalp x) (and (complexp x) (rationalp (realpart x)) (rationalp (imagpart x))))) - -(defun nonzero-rnumberp (x) - (and (rnumberp x) (neql 0 x))) - -(defun nonzero-rationalp (x) - (and (rationalp x) (neql 0 x))) - -(defun less? (x y) - ;; extend < to total lexicographic ordering of complex numbers so that - ;; a < b or a = b or a > b - ;; a < b iff a+c < b+c - ;; a < b iff a*c < b*c (real c>0) - ;; a < b iff a*c > b*c (real c<0) - (or (< (realpart x) (realpart y)) - (and (= (realpart x) (realpart y)) - (< (imagpart x) (imagpart y))))) - -(defun lesseq? (x y) - (or (= x y) (less? x y))) - -(defun greater? (x y) - (less? y x)) - -(defun greatereq? (x y) - (lesseq? y x)) - -(defun euclidean-quotient (number &optional (divisor 1)) - (mvlet (((values quotient remainder) (truncate number divisor))) - (if (minusp remainder) - (if (plusp divisor) - (values (- quotient 1) (+ remainder divisor)) - (values (+ quotient 1) (- remainder divisor))) - (values quotient remainder)))) - -(defun euclidean-remainder (number &optional (divisor 1)) - ;; 0 <= remainder < abs(divisor) - (nth-value 1 (euclidean-quotient number divisor))) - -(defun ceiling-remainder (number &optional (divisor 1)) - (nth-value 1 (ceiling number divisor))) - -(defun round-remainder (number &optional (divisor 1)) - (nth-value 1 (round number divisor))) - -(defun declare-arithmetic-characteristic-relation (name pred sort &rest options) - (apply 'declare-characteristic-relation name pred sort :constraint-theory 'arithmetic options)) - -(defun declare-arithmetic-relation (name arity &rest options) - (apply 'declare-relation2 name arity - :constraint-theory 'arithmetic - `(,@options :sort ((t number))))) - -(defun declare-arithmetic-function (name arity &rest options &key (sort 'number) &allow-other-keys) - (apply 'declare-function2 name arity - :constraint-theory 'arithmetic - (if (consp sort) options `(:sort (,sort (t number)) ,@options)))) - -(defun declare-code-for-numbers () - (declare-constant 0) - (declare-constant 1) - (declare-constant -1) - - (declare-arithmetic-characteristic-relation '$$numberp #'rnumberp 'number) - (declare-arithmetic-characteristic-relation '$$complexp #'rnumberp 'complex) ;all Lisp numbers are SNARK complex numbers - (declare-arithmetic-characteristic-relation '$$realp #'rationalp 'real) ;no floats though - (declare-arithmetic-characteristic-relation '$$rationalp #'rationalp 'rational) - (declare-arithmetic-characteristic-relation '$$integerp #'integerp 'integer) - (declare-arithmetic-characteristic-relation '$$naturalp #'naturalp 'natural) - - (declare-arithmetic-inequality-relations) - - (setf *sum* (declare-arithmetic-function '$$sum 2 - :associative t - :commutative t - :sort 'number :sort-code 'arithmetic-term-sort-computer1 - :rewrite-code (list #'(lambda (x s) (arithmetic-term-rewriter3 x s #'+ 0 none)) - 'sum-term-rewriter1) - :arithmetic-relation-rewrite-code 'sum-rel-number-atom-rewriter)) - - (setf *product* (declare-arithmetic-function '$$product 2 - :associative t - :commutative t - :sort 'number :sort-code 'arithmetic-term-sort-computer1 - :rewrite-code (list #'(lambda (x s) (arithmetic-term-rewriter3 x s #'* 1 0)) - #'(lambda (x s) (distributivity-rewriter x s *sum*))) - :arithmetic-relation-rewrite-code 'product-rel-number-atom-rewriter)) - - (declare-arithmetic-function '$$uminus 1 :sort 'number :sort-code 'arithmetic-term-sort-computer1 :rewrite-code 'uminus-term-rewriter) - (declare-arithmetic-function '$$difference 2 :sort 'number :sort-code 'arithmetic-term-sort-computer1 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter5 x s *sum* '$$uminus))) - - (declare-arithmetic-function '$$floor 1 :sort 'integer :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter4 x s #'floor))) - (declare-arithmetic-function '$$ceiling 1 :sort 'integer :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter4 x s #'ceiling))) - (declare-arithmetic-function '$$truncate 1 :sort 'integer :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter4 x s #'truncate))) - (declare-arithmetic-function '$$round 1 :sort 'integer :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter4 x s #'round))) - - ;; partial, guard against division by zero - (declare-arithmetic-function '$$quotient_f 2 :sort 'integer :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'floor))) - (declare-arithmetic-function '$$quotient_c 2 :sort 'integer :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'ceiling))) - (declare-arithmetic-function '$$quotient_t 2 :sort 'integer :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'truncate))) - (declare-arithmetic-function '$$quotient_r 2 :sort 'integer :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'round))) - (declare-arithmetic-function '$$quotient_e 2 :sort 'integer :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'euclidean-quotient))) - (declare-arithmetic-function '$$remainder_f 2 :sort 'real :sort-code 'arithmetic-term-sort-computer3 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'mod))) - (declare-arithmetic-function '$$remainder_c 2 :sort 'real :sort-code 'arithmetic-term-sort-computer3 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'ceiling-remainder))) - (declare-arithmetic-function '$$remainder_t 2 :sort 'real :sort-code 'arithmetic-term-sort-computer3 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'rem))) - (declare-arithmetic-function '$$remainder_r 2 :sort 'real :sort-code 'arithmetic-term-sort-computer3 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'round-remainder))) - (declare-arithmetic-function '$$remainder_e 2 :sort 'real :sort-code 'arithmetic-term-sort-computer3 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rationalp #'euclidean-remainder))) - - ;; partial, guard against division by zero - (setf *reciprocal* (declare-arithmetic-function '$$reciprocal 1 - :sort 'number :sort-code 'arithmetic-term-sort-computer2 - :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter2 x s #'rnumberp #'/)) - :arithmetic-relation-rewrite-code 'reciprocal-rel-number-atom-rewriter)) - (declare-arithmetic-function '$$quotient 2 :sort 'number :sort-code 'arithmetic-term-sort-computer2 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter5 x s *product* '$$reciprocal))) - - ;; abs of complex numbers might be irrational - (declare-arithmetic-function '$$abs 1 :sort 'real :sort-code 'arithmetic-term-sort-computer3 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter1 x s #'rationalp #'abs))) - - (declare-arithmetic-function '$$realpart 1 :sort 'real :sort-code 'arithmetic-term-sort-computer3 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter1 x s #'rnumberp #'realpart))) - (declare-arithmetic-function '$$imagpart 1 :sort 'real :sort-code 'arithmetic-term-sort-computer3 :rewrite-code #'(lambda (x s) (arithmetic-term-rewriter1 x s #'rnumberp #'imagpart))) - nil) - -(defun declare-arithmetic-inequality-relations () - (setf *less* (declare-arithmetic-relation '$$$less 2 - :rewrite-code (list 'irreflexivity-rewriter - #'(lambda (x s) (arithmetic-atom-rewriter1 x s #'rnumberp #'less?)) - 'arithmetic-relation-rewriter - 'term-rel-term-to-0-rel-difference-atom-rewriter) - :falsify-code 'irreflexivity-falsifier)) - (declare-arithmetic-relation '$$$greater 2 :rewrite-code #'(lambda (x s) (arithmetic-atom-rewriter4 x s '$$$less t nil))) - (declare-arithmetic-relation '$$$lesseq 2 :rewrite-code #'(lambda (x s) (arithmetic-atom-rewriter4 x s '$$$less t t))) - (declare-arithmetic-relation '$$$greatereq 2 :rewrite-code #'(lambda (x s) (arithmetic-atom-rewriter4 x s '$$$less nil t))) - (let ((inputter - (let ((done nil)) - (function - (lambda (head args polarity) - (declare (ignorable head args polarity)) - (unless done - (setf done t) - (assert '(forall (x) (not ($$less x x))) :name :$$less-is-irreflexive) - (assert '(forall (x) (not ($$greater x x))) :name :$$greater-is-irreflexive) - (assert '(forall (x) ($$lesseq x x)) :name :$$lesseq-is-reflexive) - (assert '(forall (x) ($$greatereq x x)) :name :$$greatereq-is-reflexive) - (assert '(forall ((x number) (y number)) (implied-by ($$less x y) ($$$less x y))) :name :solve-$$less-by-$$$less) - (assert '(forall ((x number) (y number)) (implied-by ($$greater x y) ($$$less y x))) :name :solve-$$greater-by-$$$less) - (assert '(forall ((x number) (y number)) (implied-by ($$lesseq x y) (not ($$$less y x)))) :name :solve-$$lesseq-by-$$$less) - (assert '(forall ((x number) (y number)) (implied-by ($$greatereq x y) (not ($$$less x y)))) :name :solve-$$greatereq-by-$$$less) - (assert '(forall ((x number) (y number)) (implied-by (not ($$less x y)) (not ($$$less x y)))) :name :solve-~$$less-by-$$$less) - (assert '(forall ((x number) (y number)) (implied-by (not ($$greater x y)) (not ($$$less y x)))) :name :solve-~$$greater-by-$$$less) - (assert '(forall ((x number) (y number)) (implied-by (not ($$lesseq x y)) ($$$less y x))) :name :solve-~$$lesseq-by-$$$less) - (assert '(forall ((x number) (y number)) (implied-by (not ($$greatereq x y)) ($$$less x y))) :name :solve-~$$greatereq-by-$$$less)) - none))))) - (declare-relation '$$less 2 :input-code inputter :rewrite-code #'(lambda (x s) (arithmetic-atom-rewriter1 x s #'rnumberp #'less?))) - (declare-relation '$$greater 2 :input-code inputter :rewrite-code #'(lambda (x s) (arithmetic-atom-rewriter1 x s #'rnumberp #'greater?))) - (declare-relation '$$lesseq 2 :input-code inputter :rewrite-code #'(lambda (x s) (arithmetic-atom-rewriter1 x s #'rnumberp #'lesseq?))) - (declare-relation '$$greatereq 2 :input-code inputter :rewrite-code #'(lambda (x s) (arithmetic-atom-rewriter1 x s #'rnumberp #'greatereq?)))) - nil) - -(defun arithmetic-term-sort-computer0 (term subst sort-names default-sort-name) - ;; when sort-names is '(integer rational real) and default-sort-name is number - ;; if all arguments are integers then integer - ;; elif all arguments are rationals then rational - ;; elif all arguments are reals then real - ;; else number - (let ((top-arg-sort (the-sort (pop sort-names)))) - (dolist (arg (args term) top-arg-sort) - (let ((arg-sort (term-sort arg subst))) - (when (or (top-sort? arg-sort) - (loop - (cond - ((subsort? arg-sort top-arg-sort) - (return nil)) - ((null sort-names) - (return t)) - (t - (setf top-arg-sort (the-sort (pop sort-names))))))) - (return (the-sort default-sort-name))))))) - -(defun arithmetic-term-sort-computer1 (term subst) - (arithmetic-term-sort-computer0 term subst '(integer rational real) 'number)) - -(defun arithmetic-term-sort-computer2 (term subst) - (arithmetic-term-sort-computer0 term subst '(rational real) 'number)) - -(defun arithmetic-term-sort-computer3 (term subst) - (arithmetic-term-sort-computer0 term subst '(integer rational) 'real)) - -(defun arithmetic-expr-args (x subst pred) - ;; return dereferenced arguments of x if all satisfy pred; otherwise, return none - (prog-> - (split-if (args x) subst ->* arg) - (or (funcall pred arg) (return-from arithmetic-expr-args none)))) - -(defun arithmetic-atom-rewriter1 (atom subst pred operator) - (let ((args (arithmetic-expr-args atom subst pred))) - (if (eq none args) none (if (apply operator args) true false)))) - -(defun arithmetic-atom-rewriter4 (atom subst newhead reverse negate) - ;; a<=b -> ~(bb -> b=b -> ~(a ($$sum a ($$uminus b)) - ;; ($$quotient a b) -> ($$product a ($$reciprocal b)) - (declare (ignorable subst)) - (mvlet (((list a b) (args term))) - (make-compound (input-function-symbol op2 2) a (make-compound (input-function-symbol op1 1) b)))) - -(defun decompose-product-term (term subst) - (if (dereference term subst :if-compound-appl t) - (let ((head (heada term))) - (if (eq *product* head) - (mvlet* ((args (args term)) - ((values nums nonnums) (split-if #'rnumberp (argument-list-a1 head args subst) subst))) - (if (and nonnums nums (null (rest nums)) (not (eql 0 (first nums)))) - (values (make-a1-compound* head 1 nonnums) (first nums)) - (values term 1))) - (values term 1))) - (values term 1))) - -(defun sum-term-rewriter1 (term subst) - ;; collect equal arguments into products - ;; ($$sum a a b a) -> ($$sum ($$product 3 a) b) - ;; ($$sum ($$product 2 a b) ($$product b 3 a)) -> ($$product 5 a b)) - (let ((rewritten nil)) - (labels - ((combine-terms (terms) - (cond - ((null (rest terms)) - terms) - (t - (mvlet (((values term1 mult1) (decompose-product-term (first terms) subst))) - ;; combine terms in (rest terms) then find a match for term1 if there is one - (mvlet* ((mult2 nil) - ((values matches nonmatches) (prog-> - (split-if (combine-terms (rest terms)) subst ->* term2) - (unless mult2 - (unless (rnumberp term2) ;don't combine numbers - (mvlet (((values term2 mult) (decompose-product-term term2 subst))) - (when (equal-p term1 term2 subst) - (setf mult2 mult)))))))) - (declare (ignorable matches)) - (cond - (mult2 - (setf rewritten t) - (let ((mult (declare-constant (+ mult1 mult2)))) - (cond - ((eql 0 mult) - nonmatches) - ((eql 1 mult) - (cons term1 nonmatches)) - ((dereference term1 subst :if-compound-appl (eq *product* (heada term1))) - (cons (make-compound* *product* mult (args term1)) nonmatches)) - (t - (cons (make-compound *product* mult term1) nonmatches))))) - ((eq (rest terms) nonmatches) - terms) - (t - (cons (first terms) nonmatches))))))))) - (let* ((head (head term)) - (args (argument-list-a1 head (args term) subst)) - (args* (combine-terms args))) - (if rewritten (make-a1-compound* head 0 args*) none))))) - -(defun uminus-term-rewriter (term subst) - ;; ($$uminus a) -> ($$product -1 a) - (declare (ignorable subst)) - (make-compound *product* -1 (first (args term)))) - -(defun arithmetic-relation-rewriter (atom subst) - (mvlet (((list a b) (args atom))) - (or (dereference2 - a b subst - :if-constant*compound (and (rnumberp a) - (let ((fn (head b))) - (dolist (fun (function-arithmetic-relation-rewrite-code fn) nil) - (let ((v (funcall fun atom subst))) - (unless (eq none v) - (pushnew (function-code-name fn) *rewrites-used*) - (return v)))))) - :if-compound*constant (and (rnumberp b) - (let ((fn (head a))) - (dolist (fun (function-arithmetic-relation-rewrite-code fn) nil) - (let ((v (funcall fun atom subst))) - (unless (eq none v) - (pushnew (function-code-name fn) *rewrites-used*) - (return v))))))) - none))) - -(defun term-rel-term-to-0-rel-difference-atom-rewriter (atom subst) - (mvlet ((rel (head atom)) - ((list a b) (args atom))) - (cl:assert (eq *less* rel)) - (cond - ((dereference2 - a b subst - :if-variable*compound (variable-occurs-p a b subst) - :if-compound*variable (variable-occurs-p b a subst) - :if-constant*compound (and (not (rnumberp a)) (constant-occurs-p a b subst)) - :if-compound*constant (and (not (rnumberp b)) (constant-occurs-p b a subst)) - :if-compound*compound t) - (pushnew (function-code-name *product*) *rewrites-used*) - (pushnew (function-code-name *sum*) *rewrites-used*) - (make-compound rel 0 (make-compound *sum* b (make-compound *product* -1 a)))) - (t - none)))) - -(defun sum-rel-number-atom-rewriter (atom subst) - ;; (eq (sum 2 c) 6) -> (eq c 4) and (less 6 (sum 2 c)) -> (less 4 c) etc. - (mvlet ((rel (head atom)) - ((list a b) (args atom))) - (cl:assert (or (eq *less* rel) (eq *=* rel))) - (or (dereference - a subst - :if-constant (and (rnumberp a) - (dereference - b subst - :if-compound (and (eq *sum* (head b)) - (let* ((args (args b)) (arg1 (first args))) - (and (rnumberp arg1) - (make-compound (head atom) (declare-constant (- a arg1)) (make-a1-compound* *sum* 0 (rest args)))))))) - :if-compound (and (eq *sum* (head a)) - (dereference - b subst - :if-constant (and (rnumberp b) - (let* ((args (args a)) (arg1 (first args))) - (and (rnumberp arg1) - (make-compound (head atom) (make-a1-compound* *sum* 0 (rest args)) (declare-constant (- b arg1))))))))) - none))) - -(defun product-rel-number-atom-rewriter (atom subst) - ;; like sum-rel-number-atom-rewriter, but don't divide by zero, and reverse arguments when dividing by negative number - (mvlet ((rel (head atom)) - ((list a b) (args atom))) - (cl:assert (or (eq *less* rel) (eq *=* rel))) - (or (dereference - a subst - :if-constant (and (rnumberp a) - (dereference - b subst - :if-compound (and (eq *product* (head b)) - (let* ((args (args b)) (arg1 (first args))) - (and (if (eq *less* rel) (nonzero-rationalp arg1) (nonzero-rnumberp arg1)) - (if (and (eq *less* rel) (minusp arg1)) - (make-compound (head atom) (make-a1-compound* *product* 0 (rest args)) (declare-constant (/ a arg1))) - (make-compound (head atom) (declare-constant (/ a arg1)) (make-a1-compound* *product* 0 (rest args))))))))) - :if-compound (and (eq *product* (head a)) - (dereference - b subst - :if-constant (and (rnumberp b) - (let* ((args (args a)) (arg1 (first args))) - (and (if (eq *less* rel) (nonzero-rationalp arg1) (nonzero-rnumberp arg1)) - (if (and (eq *less* rel) (minusp arg1)) - (make-compound (head atom) (declare-constant (/ b arg1)) (make-a1-compound* *product* 0 (rest args))) - (make-compound (head atom) (make-a1-compound* *product* 0 (rest args)) (declare-constant (/ b arg1)))))))))) - none))) - -(defun reciprocal-rel-number-atom-rewriter (atom subst) - (mvlet ((rel (head atom)) - ((list a b) (args atom))) - (cl:assert (or (eq *less* rel) (eq *=* rel))) - (cond - ((eq *less* rel) - none) - (t - (or (dereference - a subst - :if-constant (and (nonzero-rnumberp a) - (dereference - b subst - :if-compound (and (eq *reciprocal* (head b)) - (make-compound (head atom) (declare-constant (/ a)) (arg1 b))))) - :if-compound (and (eq *reciprocal* (head a)) - (dereference - b subst - :if-constant (and (nonzero-rnumberp b) - (make-compound (head atom) (arg1 a) (declare-constant (/ b))))))) - none))))) - -(defmethod checkpoint-theory ((theory (eql 'arithmetic))) - nil) - -(defmethod uncheckpoint-theory ((theory (eql 'arithmetic))) - nil) - -(defmethod restore-theory ((theory (eql 'arithmetic))) - nil) - -(defmethod theory-closure ((theory (eql 'arithmetic))) - nil) - -(defmethod theory-assert (atom (theory (eql 'arithmetic))) - (declare (ignorable atom)) - nil) - -(defmethod theory-deny (atom (theory (eql 'arithmetic))) - (declare (ignorable atom)) - nil) - -(defmethod theory-simplify (wff (theory (eql 'arithmetic))) - wff) - -;;; code-for-numbers3.lisp EOF diff --git a/snark-20120808r02/src/code-for-strings2.abcl b/snark-20120808r02/src/code-for-strings2.abcl deleted file mode 100644 index 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and $$cons must be of sort list for this to work - nil) - -(defun string-list-p (x &optional subst) - (dereference - x subst - :if-constant (null x) - :if-compound-cons (and (let ((a (carc x))) - (dereference a subst :if-constant (and (stringp a) (= 1 (length a))))) - (string-list-p (cdrc x) subst)))) - -(defun string-to-list (string) - ;; (string-to-list "abc") -> (list "a" "b" "c") - (map 'list (lambda (char) (declare-constant (string char))) string)) - -(defun list-to-string (list &optional subst) - ;; (list-to-string (list "a" "b" "c")) -> "abc" - ;; list is already dereferenced - (cond - ((null list) - (declare-constant "")) - (t - (declare-constant (apply #'concatenate 'string (instantiate list subst)))))) - -(defun list-to-string-term-rewriter (term subst) - (let ((x (first (args term)))) - (if (dereference x subst :if-constant (null x) :if-compound-cons (string-list-p x subst)) - (list-to-string x subst) - none))) - -(defun string-to-list-term-rewriter (term subst) - (let ((x 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100644 index b881465..0000000 --- a/snark-20120808r02/src/coder.lisp +++ /dev/null @@ -1,714 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark-user -*- -;;; File: coder.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2012. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-user) - -;;; coder finds shortest condensed-detachment proofs - -(defstruct (proof-line - (:constructor make-proof-line (number - just - wff - &optional - (wff-size (snark::size wff)) - (wff-vars (snark::variables wff)))) - (:copier nil)) - (number 0 :read-only t) - (just nil :read-only t) - (wff nil :read-only t) - (wff-size 0 :read-only t) - (wff-vars nil :read-only t) - (target nil) - (hint nil) - (cut nil)) - -(defvar *coder-start-time*) -(defvar *coder-run-time-limit*) -(defvar *coder-step-count*) -(defvar *coder-derivation-count*) -(defvar *coder-print-state-interval* 1000000) -(defvar *coder-maximum-term-size-found*) -(defvar *coder-maximum-target-size*) -(defvar *coder-term-size-limit*) -(defvar *coder-term-vars-limit*) -(defvar *coder-ordering* :rpo) -(defvar *coder-do-reverse-cd*) - -(defvar *test1* nil) -(defvar *test2* nil) - -(defun coder (axioms target &rest options - &key (max 100) (min 1) (max-syms nil) (max-vars nil) (op nil) (variables nil) - kill avoid all-proofs must-use resume hints reverse-cd - (steps-to-use nil) (steps-to-use-count (length steps-to-use)) - ((:run-time-limit *coder-run-time-limit*) nil) - (*test1* *test1*) (*test2* *test2*)) - (let ((*print-pretty* nil)) - (print (cons 'coder (mapcar (lambda (x) (kwote x t)) (list* axioms target options)))) - (initialize) - (cl:assert (>= (length steps-to-use) steps-to-use-count 0)) - (setf steps-to-use (if (= 0 steps-to-use-count) nil (mapcar #'coder-input-term steps-to-use))) - (setf variables (mapcar (lambda (x) (cons x (snark::make-variable))) variables)) - (setf avoid (mapcar #'(lambda (x) (coder-input-term x variables)) avoid)) - (use-term-ordering *coder-ordering*) - (use-default-ordering 'coder-default-symbol-ordering) - (ordering-functions>constants t) - (test-option19 t) - (prog-> - (identity 0 -> naxioms) - (mapcar (lambda (x) (make-proof-line (incf naxioms) naxioms (coder-input-term x variables))) axioms -> axioms) - (unless op - (dolist (x axioms) - (let ((x (proof-line-wff x))) - (when (and (compound-p x) (eql 2 (length (args x)))) - (cond - ((null op) - (setf op (snark::function-name (head x)))) - ((not (eq op (snark::function-name (head x)))) - (warn "There is more than one binary relation; using condensed detachment for ~A." op) - (return))))))) - (reverse axioms -> axioms) - (declare-function (if reverse-cd 'rcd 'cd) 2 :ordering-status :left-to-right -> cd) - (input-target target -> target target-alist) - (and (not (contains-test-target? target)) - (reduce #'max target-alist :key (lambda (x) (snark::size (cdr x)))) - -> *coder-maximum-target-size*) - (mapcar #'coder-input-term hints -> hints) - (identity max-syms -> *coder-term-size-limit*) - (identity max-vars -> *coder-term-vars-limit*) - (identity reverse-cd -> *coder-do-reverse-cd*) - (identity nil -> all-targets-found) - (setf *coder-step-count* 0) - (setf *coder-derivation-count* 0) - (setf *coder-maximum-term-size-found* 0) - (get-internal-run-time -> *coder-start-time*) - (loop for nsteps from min to max - do (let (targets-found) - (format t "~2%Search for ~D-step proof... " nsteps) - (force-output) - (setf targets-found (coder1 axioms target nsteps cd op kill avoid all-proofs must-use resume hints steps-to-use steps-to-use-count)) - (setf resume nil) - (let ((run-time (round (- (get-internal-run-time) *coder-start-time*) internal-time-units-per-second))) - (format t "~%~D steps in ~D seconds" *coder-step-count* run-time) - (when (and *coder-run-time-limit* (< *coder-run-time-limit* run-time)) - (format t "; time limit exceeded") - (return))) - (when targets-found - (setf target (remove-target target targets-found)) - (setf all-targets-found (nconc targets-found all-targets-found)) - (when (null target) - (return))))) - (format t ".") - (mapcar (lambda (x) (or (car (rassoc x target-alist)) x)) all-targets-found)))) - -(defun coder1 (axioms target nsteps cd op kill avoid all-proofs must-use resume hints steps-to-use steps-to-use-count) - (let ((together-target? (together-target? target)) - (targets-found nil)) - (labels - ((coder2 (lines nsteps unused target* ntargets steps-to-use steps-to-use-count) - ;; target* is used to record remaining targets only if target is a together-target - (cond - ((eql 0 nsteps) - (incf *coder-derivation-count*) - (cond - (together-target? - (cl:assert (null target*)) ;all targets should have been matched - (print-proof lines) - (print-proof-for-otter-verification lines op) - (force-output) - (setf targets-found (rest target)) - (unless all-proofs - (return-from coder1 targets-found))) - (t - (let ((found (target? target (proof-line-wff (first lines))))) ;is final wff a target? - (when found - (setf (proof-line-target (first lines)) found) - (print-proof lines) - (print-proof-for-otter-verification lines op) - (force-output) - (dolist (v found) - (pushnew v targets-found)) - (unless all-proofs - (when (null (setf target (remove-target target found))) - (return-from coder1 targets-found)))))))) - (t - (flet - ((coder3 (x y xunused? yunused? new-line) - (let ((found (and together-target? (target? target* (proof-line-wff new-line))))) - (cond - (found - ;;(princf *coder-step-count*) - (cl:assert (null (rest found)) () "More than one together-target simultaneously satisfied.") - (when (eql 0 (rem (incf *coder-step-count*) *coder-print-state-interval*)) - (let ((run-time (- (get-internal-run-time) *coder-start-time*))) - (print-coder-state (cons new-line lines) run-time) - (when (and *coder-run-time-limit* (< *coder-run-time-limit* (round run-time internal-time-units-per-second))) - (return-from coder1 targets-found)))) - (setf (proof-line-target new-line) found) - (coder2 - (cons new-line lines) - (- nsteps 1) - (let ((unused (if xunused? (remove x unused) unused))) - (if yunused? (remove y unused) unused)) - (remove-target target* found) - (- ntargets 1) - steps-to-use - steps-to-use-count)) - (t - (let ((new-steps-to-use steps-to-use) (new-steps-to-use-count steps-to-use-count)) - (when (< 0 steps-to-use-count) - (setf new-steps-to-use (remove-step-to-use (proof-line-wff new-line) steps-to-use)) - (unless (eq steps-to-use new-steps-to-use) - (decf new-steps-to-use-count))) - (cond - ((if together-target? - (>= (- nsteps 1) (+ ntargets new-steps-to-use-count)) - (if (= 1 nsteps) - (= 0 steps-to-use-count) - (> (- nsteps 1) new-steps-to-use-count))) - ;;(princf *coder-step-count*) - (when (eql 0 (rem (incf *coder-step-count*) *coder-print-state-interval*)) - (let ((run-time (- (get-internal-run-time) *coder-start-time*))) - (print-coder-state (cons new-line lines) run-time) - (when (and *coder-run-time-limit* (< *coder-run-time-limit* (round run-time internal-time-units-per-second))) - (return-from coder1 targets-found)))) - (coder2 - (cons new-line lines) - (- nsteps 1) - (let ((unused (if xunused? (remove x unused) unused))) - (cons new-line (if yunused? (remove y unused) unused))) - target* - ntargets - new-steps-to-use - new-steps-to-use-count))))))))) - (declare (dynamic-extent #'coder3)) - (let ((new-lines nil) - (new-line-number (+ (proof-line-number (first lines)) 1))) - (let ((nunused (length unused)) - (revlines (reverse lines))) - (dolist (x revlines) ;use reverse to reorder search 2003-04-17 - (let ((xunused? (member x unused)) - (big nil)) - (dolist (y revlines) ;use reverse to reorder search 2004-01-10 - (let ((yunused? (and (not (eq x y)) (member y unused)))) - (unless (> (if xunused? - (if yunused? (- nunused 1) nunused) - (if yunused? nunused (+ nunused 1))) - (if (eql 1 ntargets) nsteps (+ nsteps ntargets -1))) - (let ((just (make-compound cd (proof-line-just x) (proof-line-just y)))) - (when (or big - (and (eq '> (snark::simplification-ordering-compare-terms0 - just (proof-line-just (first lines)) nil '>)) - (setf big t))) - (prog-> - (do-cd (proof-line-wff x) (proof-line-wff y) op (eql ntargets nsteps) ->* new-wff new-wff-size cut) - (if new-wff-size - (make-proof-line new-line-number just new-wff new-wff-size) - (make-proof-line new-line-number just new-wff) - -> new-line) - (when cut - (setf (proof-line-cut new-line) t)) - (cond - ((and resume - (let ((l1 resume) (l2 (coder-state (cons new-line lines)))) - (loop - (cond - ((null l1) - (setf resume nil) - (setf *coder-step-count* -1) - (return nil)) - ((null l2) - (return nil)) - ((not (equal (pop l1) (pop l2))) - (return t)))))) - ) - ((or hints *test1* *test2*) - (cond - ((and kill (funcall kill new-line)) - ) - ((and *test2* (backward-subsumes? new-line lines)) - ;; reject all derivations beginning with lines - ;; when new-line is equal to an earlier line - ;; as well as when it strictly subsumes it - ;; as in the case below - (return-from coder2)) - ((forward-subsumed? new-line lines) - ) - ((and (not *test2*) (backward-subsumes? new-line lines)) - ;; don't just block adding new-line to lines but - ;; reject all derivations beginning with lines - (return-from coder2)) - (t - (push (list x y xunused? yunused? new-line) new-lines)))) - (t - (unless (or (and kill (funcall kill new-line)) - (and avoid (member (proof-line-wff new-line) avoid :test #'snark::variant-p)) - (forward-subsumed? new-line lines) - (backward-subsumes? new-line lines)) - (coder3 x y xunused? yunused? new-line)))) - (when cut - (return))))))))))) - (when new-lines - (dolist (new-line (if hints (sort-new-lines new-lines hints) (nreverse new-lines))) - (apply #'coder3 new-line))))))))) - (let ((ntargets (if together-target? (length (rest target)) 1))) - (unless (> (+ ntargets steps-to-use-count) nsteps) - (coder2 axioms nsteps (selected-lines axioms must-use) target ntargets steps-to-use steps-to-use-count))) - targets-found))) - -(defun sort-new-lines (new-lines hints) - (dolist (x new-lines) - (when (member (proof-line-wff (fifth x)) hints :test #'snark::subsumes-p) - (setf (proof-line-hint (fifth x)) t))) - (stable-sort (nreverse new-lines) - (lambda (x y) - (and (proof-line-hint (fifth x)) - (not (proof-line-hint (fifth y))))))) - -(defun selected-lines (lines nums) - (cond - ((eq t nums) - lines) - (t - (remove-if (lambda (line) (not (member (proof-line-number line) nums))) lines)))) - -(defun coder-default-symbol-ordering (x y) - (if (numberp x) - (if (and (numberp y) (> x y)) '> '<) - '>)) - -(defun forward-subsumed? (new-line lines) - ;; return true iff new-line is subsumed by an earlier line - (let ((new-wff (proof-line-wff new-line)) - (new-wff-size (proof-line-wff-size new-line)) - (new-wff-vars (proof-line-wff-vars new-line))) - (dolist (l lines nil) - (when (and (>= new-wff-size (proof-line-wff-size l)) - (snark::subsumed-p1 new-wff (proof-line-wff l) new-wff-vars)) - (return t))))) - -(defun backward-subsumes? (new-line lines) - ;; return true iff new-line subsumes an earlier line that is not used to derive new-line - (let ((new-wff (proof-line-wff new-line)) - (new-wff-size (proof-line-wff-size new-line))) - (dolist (l lines nil) - (let ((j (proof-line-just l))) - ;; don't backward subsume axioms or ancestors - (cond - ((not (compound-p j)) ;l and rest of lines are all axioms - (return nil)) - ((and (<= new-wff-size (proof-line-wff-size l)) - (snark::subsumes-p1 new-wff (proof-line-wff l) (proof-line-wff-vars l)) - (not (snark::occurs-p j (proof-line-just new-line) nil))) - (return t))))))) - -(defun do-cd (function x y op &optional last-line) - ;; perform condensed detachment operation - ;; with x as major premise and y as minor premise - ;; assume x and y are variable disjoint unless (eq x y) - ;; return result with new variables - (prog-> - (when (and (compound-p x) (eq op (function-name (head x)))) - (args x -> args) - (first args -> x1) - (second args -> x2) - (when *coder-do-reverse-cd* - (psetf x1 x2 x2 x1)) - ;; (cd (i x t) s) always yields t for any s if x does not occur in t - ;; producing alternative derivations which differ only in which minor premise is used - ;; used to be enabled by *test3*, default since 2003-08-14 - (and (snark::variable-p x1) (not (snark::occurs-p x1 x2)) -> cut) - ;; in this case, use same wff as major and minor premise, to avoid unnecessary use of y - ;; added 2003-11-30 - (when (and cut (not (eq x y))) - (return-from do-cd)) - (unify x1 (if (eq x y) (snark::renumber-new y) y) ->* subst) - (snark::size x2 subst -> n) - ;; don't create big terms that cannot subsume a target for the last line of proof - (unless (or (and last-line *coder-maximum-target-size* (< *coder-maximum-target-size* n)) - (and *coder-term-size-limit* (< *coder-term-size-limit* n)) - (and *coder-term-vars-limit* (< *coder-term-vars-limit* (length (snark::variables x2 subst))))) - (when (and (not *coder-term-size-limit*) (< *coder-maximum-term-size-found* n)) - (format t " ~D syms " n) - (force-output) - (setf *coder-maximum-term-size-found* n)) - (snark::renumber-new x2 subst -> x2*) - (unless cut - (setf cut (snark::variant-p x2 x2*))) - (funcall function x2* n cut))))) - -(defun just-line-number (j lines) - (proof-line-number (first (member j lines :key #'proof-line-just :test #'equal-p)))) - -(defun just-list (j lines) - (if (compound-p j) - (cons (function-name (head j)) - (mapcar (lambda (x) - (if (compound-p x) (just-line-number x lines) x)) - (args j))) - j)) - -(defun print-proof-line-just (line lines) - (let ((n (proof-line-number line)) - (j (just-list (proof-line-just line) lines))) - (format t "~2D ~A" n (if (eql n j) 'ax j))) - (when (proof-line-cut line) - (format t "!"))) - -(defun print-proof-line (line lines) - (let ((j (proof-line-just line))) - (format t "~%(") (print-proof-line-just line lines) (format t "~15T") - (print-term (snark::renumber (proof-line-wff line))) - (format t ")") - (cond - ((compound-p j) - (format t "~84T;~2D sym~:P, ~D var~:P" - (snark::size (proof-line-wff line)) - (length (snark::variables (proof-line-wff line)))) - (when (proof-line-target line) - (format t " target"))) - ((not (member j lines - :key #'proof-line-just - :test (lambda (x y) (and (not (snark::equal-p x y)) (snark::occurs-p x y nil))))) - (format t "~84T;unused"))))) - -(defun print-proof-lines (lines) - (mapc (lambda (line) (print-proof-line line lines)) lines)) - -(defun print-proof (lines) - (format t "~2%Proof:") - (print-proof-lines (reverse lines)) - (format t "~%End proof.") - (terpri)) - -(defun coder-state (lines) - (let ((lines (reverse lines))) - (mapcan (lambda (line) - (let ((j (just-list (proof-line-just line) lines))) - (if (consp j) (list j) nil))) - lines))) - -(defun print-coder-state (lines &optional (run-time (- (get-internal-run-time) *coder-start-time*))) - (format t "~% ~A ~5Dm " - (subseq (print-current-time nil t) 4 13) - (round run-time (* 60 internal-time-units-per-second))) - (mapc (lambda (x) (princ x) (princ " ")) (coder-state lines)) - (force-output)) - -;;; coder's target argument is either a normal-target or a together-target -;;; -;;; a single-target is one of -;;; a term - find generalization (or variant) of this term -;;; (TEST predicate) -;;; -;;; a normal-target is one of -;;; a single-target -;;; (OR normal-target1 ... normal-targetn) - search until one target is found -;;; (AND normal-target1 ... normal-targetn) - search until all targets are found -;;; -;;; a together-target is -;;; (TOGETHER single-target1 ... single-targetn) - search until all targets are found in a single derivation -;;; it is assumed that no single formula will satisfy more than one of these targets - -(defvar *input-target-alist*) - -(defun input-target (target) - (let ((*input-target-alist* nil)) - (values (cond - ((together-target? target) - (input-together-target target)) - (t - (input-normal-target target))) - *input-target-alist*))) - -(defun together-target? (target) - (and (consp target) (eq 'together (first target)))) - -(defun contains-test-target? (target) - (case (and (consp target) (first target)) - (test - t) - ((and or together) - (some #'contains-test-target? (rest target))))) - -(defun wrap2 (f l) - (cl:assert (consp l)) - (if (null (rest l)) (first l) (cons f l))) - -(defun coder-input-term (x &optional variables) - (snark::renumber-new - (snark::input-term - (if (stringp x) (read-infix-term x :case (readtable-case *readtable*)) x) - :*input-wff-substitution* variables))) - -(defun input-together-target (target) - (wrap2 (first target) (mapcar #'input-single-target (rest target)))) - -(defun input-normal-target (target) - (cond - ((and (consp target) (member (first target) '(or and))) - (wrap2 (first target) (mapcar #'input-normal-target (rest target)))) - (t - (input-single-target target)))) - -(defun input-single-target (target) - (cl:assert (not (and (consp target) (member (first target) '(or and together))))) - (cond - ((and (consp target) (eq 'test (first target))) - target) - (t - (let ((target* (coder-input-term target))) - (push (cons target target*) *input-target-alist*) - target*)))) - -(defun target? (target x &optional l) - ;; does x generalize a term in target? - (cond - ((and (consp target) (member (first target) '(or and together))) - (dolist (y (rest target) l) - (setf l (target? y x l)))) - ((and (consp target) (eq 'test (first target))) - (if (funcall (second target) x) (adjoin target l) l)) - (t - (if (snark::subsumes-p x target) (adjoin target l) l)))) - -(defun remove-target (target l) - (cond - ((and (consp target) (eq 'or (first target))) - (let ((v (mapcar (lambda (y) - (let ((y* (remove-target y l))) - (or y* (return-from remove-target nil)))) - (rest target)))) - (wrap2 'or v))) - ((and (consp target) (member (first target) '(and together))) - (let ((v (mapcan (lambda (y) - (let ((y* (remove-target y l))) - (and y* (list y*)))) - (rest target)))) - (and v (wrap2 (first target) v)))) - (t - (if (member target l) nil target)))) - -(defun remove-step-to-use (wff steps-to-use) - (cond - ((null steps-to-use) - nil) - ((snark::subsumes-p wff (first steps-to-use)) - (rest steps-to-use)) - (t - (let* ((l (rest steps-to-use)) - (l* (remove-step-to-use wff l))) - (if (eq l l*) steps-to-use (cons (first steps-to-use) l*)))))) - -(defun print-proof-for-otter-verification (lines op) - ;; Bob Veroff provided the template for this script - (let ((lines (reverse lines))) - (format t "~%% OTTER SCRIPT TO TRY TO FIND SAME PROOF") - (format t "~% set(hyper_res). clear(print_kept). clear(print_back_sub). assign(stats_level,0).") - (format t "~% assign(bsub_hint_add_wt,-1000000). set(keep_hint_subsumers). assign(max_weight,1).") - (format t "~% list(sos). % AXIOMS:") - (dolist (l lines) - (unless (compound-p (proof-line-just l)) - (format t "~% ") (print-term-for-otter2 (proof-line-wff l)) (format t "."))) - (format t "~% end_of_list.") - (cond - (*coder-do-reverse-cd* - (format t "~% list(usable). % REVERSED CONDENSED DETACHMENT RULE:") - (format t "~% -P(~A(x,y)) | -P(y) | P(x)." (string-downcase (string op)))) - (t - (format t "~% list(usable). % CONDENSED DETACHMENT RULE:") - (format t "~% -P(~A(x,y)) | -P(x) | P(y)." (string-downcase (string op))))) - (format t "~% end_of_list.") - (let ((first t)) - (dolist (l lines) - (when (proof-line-target l) - (cond - (first - (setf first nil) - (format t "~% list(usable). % TARGET:")) - (t - (format t " |"))) - (format t "~% -") (print-term-for-otter2 (proof-line-wff l) t))) - (unless first - (format t ".~% end_of_list."))) - (format t "~% list(hints). % PROOF LINES:") - (dolist (l lines) - (format t "~% ") (print-term-for-otter2 (proof-line-wff l)) (format t ".") - (format t "~72T%") (print-proof-line-just l lines) - (when (proof-line-target l) - (format t " TARGET"))) - (format t "~% end_of_list.") - (format t "~%% OTTER SCRIPT END~%") - )) - -(defun print-term-for-otter2 (term &optional ground) - (princ "P(") - (print-term-for-otter (snark::renumber term) ground) - (princ ")") - term) - -(defun print-term-for-otter (term &optional ground) - (dereference - term nil - :if-variable (cond - (ground - (princ #\c) - (princ (snark::variable-number term))) - (t - (let ((n (snark::variable-number term))) - (cond - ((> 6 n) - (princ (ecase n (0 #\x) (1 #\y) (2 #\z) (3 #\u) (4 #\v) (5 #\w)))) - (t - (princ #\v) - (princ n)))))) - :if-constant (cond - ((numberp term) - (princ term)) - (t - (princ #\c) - (princ (string-downcase (string term))))) - :if-compound (progn - (princ (string-downcase (string (function-name (head term))))) - (princ "(") - (let ((first t)) - (dolist (arg (args term)) - (if first (setf first nil) (princ ",")) - (print-term-for-otter arg ground))) - (princ ")"))) - term) - -(defun comb (n m) - (/ (let ((v 1)) - (dotimes (i m) - (setf v (* v (- n i)))) - v) - (let ((v 1)) - (dotimes (i (- m 1)) - (setf v (* v (+ i 2)))) - v))) - -(defun shorten-proof (proof &rest options - &key (drop 3) (shorten-by 1) (naxioms 1) (targets '(-1)) all-proofs skip from to min max - (variables '(x y z u v w v0 - x1 y1 z1 u1 v1 w1 v6 v7 v8 v9 v10 v11 - x2 y2 z2 u2 v2 w2 v12 v13 v14 v15 v16 v17 - x3 y3 z3 u3 v3 w3 v18 v19 v20 v21 v22 v23 - x4 y4 z4 u4 v4 w4 v24 v25 v26 v27 v28 v29 - x5 y5 z5 u5 v5 w5 v30 v31 v32 v33 v34 v35))) - ;; attempt to find a shorter proof than argument proof (a list of formulas) - ;; default is to assume there is a single axiom (first in proof) and single target (last in proof) - ;; to try to find a shorter proof, - ;; omit drop steps and search for a proof with fewer than drop steps to replace them - ;; - ;; :drop 0 :shorten-by 0 options can be used to reproduce proof - (print (cons 'shorten-proof (mapcar (lambda (x) (kwote x t)) (list* proof options)))) - (when skip - (cl:assert (null from)) - (setf from (+ skip 1))) - (let* ((l proof) - (proof-length (length proof)) - (nsteps (- proof-length naxioms)) - (target nil) - (source nil) - (found nil) - (count 0)) - (dolist (i (reverse targets)) ;collect targets into target - (push (nth (if (> 0 i) (+ proof-length i) i) proof) target)) - (dotimes (i naxioms) ;collect axioms into source - (declare (ignorable i)) - (push (pop l) source)) - (when (eql 1 naxioms) ;if there is only one axiom, first step is forced, - (unless (or (member 2 targets) (member (- 1 proof-length) targets)) - (setf l (rest l)))) ;so omit it from candidates to be replaced - (setf l (set-difference l target)) ;l is now list of potentially replaceable nontarget steps - (prog-> - (length l -> len) - (comb len drop -> ncombs) - (choose l (- len drop) ->* kept-steps) ;shorten l by drop steps in all ways - (incf count) - (when (and to (< to count)) - (return-from prog->)) - (when (implies from (<= from count)) - (format t "~2%Shorten proof attempt ~D of ~D" count ncombs) - (when (coder source - (cons 'together (append target kept-steps)) - :min (or min (- nsteps drop)) - :max (or max (- nsteps shorten-by)) - :all-proofs all-proofs - :variables variables) - (setf found t) - (unless all-proofs - (return-from prog->))))) - found)) - -(defun strip-ors (wff) - (cond - ((and (consp wff) (eq 'or (first wff))) - (reduce #'append (mapcar #'strip-ors (rest wff)))) - (t - (list wff)))) - -(defun condensed-detachment-rule-p (wff) - ;; recognizer for (or (not (p (i ?x ?y))) (or (not (p ?x)) (p ?y))) - (let ((l (strip-ors wff))) - (and (= 3 (length l)) - (let ((subst (some (lambda (x) - (let ((subst (pattern-match '(not (?pred (?fun ?var1 ?var2))) x))) - (and subst - (let ((var1 (sublis subst '?var1)) - (var2 (sublis subst '?var2))) - (and (neq var1 var2) - (can-be-free-variable-name var1) - (can-be-free-variable-name var2))) - subst))) - l))) - (and (member (sublis subst '(not (?pred ?var1))) l :test #'equal) - (member (sublis subst '(?pred ?var2)) l :test #'equal) - subst))))) - -(defun condensed-detachment-problem-p (assertions) - (and (every (lambda (x) (and (consp x) (eq 'assertion (first x)))) assertions) - (multiple-value-bind - (cd-rule subst) - (dolist (x assertions) - (let ((x (second x))) - (let ((subst (condensed-detachment-rule-p x))) - (when subst - (return (values x subst)))))) - (and cd-rule - (let ((axioms nil) - (target nil) - (axiom-pattern (sublis subst '((?pred ?x)))) - (target-pattern (sublis subst '(not (?pred ?x))))) - (dolist (x assertions (and axioms target (values (reverse axioms) target (sublis subst '?fun) (sublis subst '?pred)))) - (let ((x (second x))) - (unless (eq cd-rule x) - (let ((x (strip-ors x))) - (cond - ((pattern-match axiom-pattern x) - (push (second (first x)) axioms)) - ((and (null target) (every (lambda (x) (pattern-match target-pattern x)) x)) - (setf target (if (null (rest x)) - (second (second (first x))) - (cons 'together (mapcar (lambda (x) (second (second x))) x))))) - (t - (return nil)))))))))))) - -;;; coder.lisp EOF diff --git a/snark-20120808r02/src/collectors.abcl b/snark-20120808r02/src/collectors.abcl deleted file mode 100644 index 56210613d3ff5b6a91d9391357aac61348fbe4ff..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 21604 zcmb5VWmKGN)2*8joW|YV-Ge*9-3f%o-Q9yU?he7--7V0#ySqzp5*!X|t+V(3_B+OT z$65WW|JSUVbze0fCD~7q7$0C^VL#L+2T6bUA3wnRebYw%wekZG=_L 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collector) - (cons x x)) - ((null (car collector)) - (rplacd collector (setf (car collector) x))) - (t - (rplacd collector (setf (cddr collector) x))))) - -(defun collect-list (l collector) - ;; as in Interlisp LCONC, - ;; add list l to the end of the list in (car collector) - ;; and update (cdr collector) to point to the end of the list - (cond - ((null l) - collector) - ((null collector) - (cons l (last l))) - ((null (car collector)) - (rplacd collector (last (setf (car collector) l)))) - (t - (rplacd collector (last (setf (cddr collector) l)))))) - -(defstruct (queue - (:constructor make-queue ()) - (:copier nil)) - (list nil :type list) - (last nil :type list)) - -(defun queue-empty-p (queue) - (null (queue-list queue))) - -(defun enqueue (item queue) - (let ((l (cons item nil))) - (setf (queue-last queue) (if (queue-list queue) (setf (rest (queue-last queue)) l) (setf (queue-list queue) l))) - item)) - -(defun dequeue (queue) - (let ((l (queue-list queue))) - (if l - (prog1 (first l) (setf (queue-list queue) (or (rest l) (setf (queue-last queue) nil)))) - nil))) - -(defmacro collect (item place) - ;; like (setf place (nconc place (list item))) - ;; except last cell of list is remembered in place-last - ;; so that operation is O(1) - ;; it can be used instead of (push item place) + (nreverse place) loop idiom - ;; user must declare place-last variable or slot - (let* ((args (if (atom place) - nil - (mapcar (lambda (arg) (list (gensym) arg)) (rest place)))) - (place (if (atom place) - place - (cons (first place) (mapcar #'first args)))) - (place-last (if (atom place) - (intern (concatenate - 'string - (symbol-name place) - (symbol-name :-last))) - (cons (intern (concatenate - 'string - (symbol-name (first place)) - (symbol-name :-last))) - (rest place)))) - (v (gensym)) - (l (gensym))) - `(let* ((,v (cons ,item nil)) ,@args (,l ,place)) - (cond - ((null ,l) - (setf ,place (setf ,place-last ,v))) - (t - (rplacd ,place-last (setf ,place-last ,v)) - ,l))))) - -(defmacro ncollect (list place) - ;; like (setf place (nconc place list)) - ;; except last cell of list is remembered in place-last - (let* ((args (if (atom place) - nil - (mapcar (lambda (arg) (list (gensym) arg)) (rest place)))) - (place (if (atom place) - place - (cons (first place) (mapcar #'first args)))) - (place-last (if (atom place) - (intern (concatenate - 'string - (symbol-name place) - (symbol-name :-last))) - (cons (intern (concatenate - 'string - (symbol-name (first place)) - (symbol-name :-last))) - (rest place)))) - (v (gensym)) - (l (gensym)) - (e (gensym))) - `(let* ((,v ,list) ,@args (,l ,place)) - (if (null ,v) - ,l - (let ((,e (rest ,v))) - (setf ,e (if (null ,e) ,v (last ,e))) - (cond - ((null ,l) - (setf ,place-last ,e) - (setf ,place ,v)) - (t - (rplacd ,place-last ,v) - (setf ,place-last ,e) - ,l))))))) - -;;; collectors.lisp EOF diff --git a/snark-20120808r02/src/connectives.abcl b/snark-20120808r02/src/connectives.abcl deleted file mode 100644 index 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ze+laQS||SWV_kpL0U#dIzXpOQjFrIgTVwgJ`vk;8`Zxc;H1%ZuX~v4L7y{xU{i{G~ z^Oyti3$d=>M{p1i>0fK~_oNXZzBg9SJd+V6Uh8{HnV^>8Cj<1jn z;vxO3WK&d?1wMaYtj}Mz0K`N3=OB7klO5nsW3B&MN=zV=Ld5(7=9@0Pb&Wo6Q>IY2zUoT+r?+^5jc$mEC zXAlqRA9|NEOn$B%#6$Xr-lqtYkLm*Pkp7|fGr{CL`anFSf9O3AF!_Zc5D)1edO>td z{?8bQhx8A==BIN`Q&{N59uHJld+gQ6AHvb`iK6M7A8M->NLi!6A?)N(DUUn z`KWUs9@0Pb^kPh2mI%Z{`iGv3iOK7dfOts%(374pd24bI59uFzCI}{fgBrv``iH(Z zjmg_x!sP#DkAVF{-@?J. - -(in-package :snark) - -;;; wff = well-formed formula -;;; atom = atomic fomula - -(defun not-wff-error (x &optional subst) - (error "~A is not a formula." (term-to-lisp x subst))) - -(defun not-clause-error (x &optional subst) - (error "~A is not a clause." (term-to-lisp x subst))) - -(defun head-is-logical-symbol (wff) - (dereference - wff nil - :if-constant nil - :if-variable (not-wff-error wff) - :if-compound-cons (not-wff-error wff) - :if-compound-appl (function-logical-symbol-p (heada wff)))) - -(defun negation-p (wff) - (eq 'not (head-is-logical-symbol wff))) - -(defun conjunction-p (wff) - (eq 'and (head-is-logical-symbol wff))) - -(defun disjunction-p (wff) - (eq 'or (head-is-logical-symbol wff))) - -(defun implication-p (wff) - (eq 'implies (head-is-logical-symbol wff))) - -(defun reverse-implication-p (wff) - (eq 'implied-by (head-is-logical-symbol wff))) - -(defun equivalence-p (wff) - (eq 'iff (head-is-logical-symbol wff))) - -(defun exclusive-or-p (wff) - (eq 'xor (head-is-logical-symbol wff))) - -(defun conditional-p (wff) - (eq 'if (head-is-logical-symbol wff))) - -(defun universal-quantification-p (wff) - (eq 'forall (head-is-logical-symbol wff))) - -(defun existential-quantification-p (wff) - (eq 'exists (head-is-logical-symbol wff))) - -(defun atom-p (wff) - (not (head-is-logical-symbol wff))) - -(defun literal-p (wff &optional (polarity :pos) strict) - ;; returns (values atom polarity) - ;; only atomic formulas and negated atomic formulas are strict literals - ;; nonstrict literals can have nested negations - (let ((v (head-is-logical-symbol wff))) - (cond - ((null v) - (values wff polarity)) - ((eq 'not v) - (let ((wff1 (arg1a wff))) - (if strict - (and (atom-p wff1) (values wff1 (opposite-polarity polarity))) - (literal-p wff1 (opposite-polarity polarity))))) - (t - nil)))) - -(defun clause-p (wff &optional no-true-false strict neg) - ;; only atomic formulas, negated atomic formulas, their disjunctions, and (optionally) true and false are strict clauses - ;; nonstrict clauses are implications etc. interpretable as single clauses - (labels - ((clause-p (wff neg) - (case (head-is-logical-symbol wff) - ((nil) - (implies no-true-false (not (or (eq true wff) (eq false wff))))) - (not - (if strict - (atom-p (arg1a wff)) - (clause-p (arg1a wff) (not neg)))) - (and - (and (not strict) - neg - (dolist (arg (argsa wff) t) - (unless (clause-p arg t) - (return nil))))) - (or - (and (not neg) - (if strict - (dolist (arg (argsa wff) t) - (unless (literal-p arg :pos t) - (return nil))) - (dolist (arg (argsa wff) t) - (unless (clause-p arg nil) - (return nil)))))) - (implies - (and (not strict) - (not neg) - (let ((args (argsa wff))) - (and (clause-p (first args) t) - (clause-p (second args) nil))))) - (implied-by - (and (not strict) - (not neg) - (let ((args (argsa wff))) - (and (clause-p (first args) nil) - (clause-p (second args) t)))))))) - (clause-p wff neg))) - -(defun equality-relation-symbol-p (fn) - (eq '= (function-boolean-valued-p fn))) - -(defun equality-p (wff) - (dereference - wff nil - :if-constant nil - :if-variable (not-wff-error wff) - :if-compound-cons (not-wff-error wff) - :if-compound-appl (equality-relation-symbol-p (head wff)))) - -(defun positive-equality-wff-p (wff) - ;; nothing but strictly positive occurrences of equalities - (prog-> - (map-atoms-in-wff wff ->* atom polarity) - (unless (and (eq :pos polarity) (equality-p atom)) - (return-from positive-equality-wff-p nil))) - t) - -(declare-snark-option eliminate-negations nil nil) -(declare-snark-option flatten-connectives t t) ;e.g., replace (and a (and b c)) by (and a b c) -(declare-snark-option ex-join-negation t t) ;e.g., replace (equiv a false) by (not a) - -(defun conjoin* (wffs &optional subst) - (ao-join* wffs subst *and* true)) - -(defun disjoin* (wffs &optional subst) - (ao-join* wffs subst *or* false)) - -(defun conjoin (wff1 wff2 &optional subst) - (cond - ((or (eq wff1 wff2) (eq true wff1) (eq false wff2)) - wff2) - ((or (eq false wff1) (eq true wff2)) - wff1) - (t - (ao-join* (list wff1 wff2) subst *and* true)))) - -(defun disjoin (wff1 wff2 &optional subst) - (cond - ((or (eq wff1 wff2) (eq false wff1) (eq true wff2)) - wff2) - ((or (eq true wff1) (eq false wff2)) - wff1) - (t - (ao-join* (list wff1 wff2) subst *or* false)))) - -(defun ao-join* (wffs subst connective identity) - ;; create conjunction or disjunction of wffs - ;; handle true, false, equal and complementary wffs - (do ((not-identity (if (eq true identity) false true)) - (wffs* nil) wffs*-last - (poswffs* nil) - (negwffs* nil) - wff) - ((null wffs) - (cond - ((null wffs*) - identity) - ((null (rest wffs*)) - (first wffs*)) - ((flatten-connectives?) - (make-compound* connective wffs*)) - (t - (make-compound2 connective wffs*)))) - (setf wff (pop wffs)) - (when subst - (setf wff (instantiate wff subst))) - (cond - ((and (compound-p wff) (eq connective (head wff))) - (setf wffs (if wffs (append (argsa wff) wffs) (argsa wff)))) - (t - (mvlet (((values wff neg) (not-not-eliminate wff))) - (if neg - (cond - ((and poswffs* (hts-member-p neg poswffs*)) - (return not-identity)) - ((hts-adjoin-p neg (or negwffs* (setf negwffs* (make-hash-term-set)))) - (collect wff wffs*))) - (cond - ((eq identity wff) - ) - ((eq not-identity wff) - (return not-identity)) - ((and negwffs* (hts-member-p wff negwffs*)) - (return not-identity)) - ((hts-adjoin-p wff (or poswffs* (setf poswffs* (make-hash-term-set)))) - (collect wff wffs*))))))))) - -(defun not-not-eliminate (wff) - (let ((neg nil) -wff) - (loop - (dereference - wff nil - :if-variable (return-from not-not-eliminate - (if neg (values -wff wff) wff)) - :if-constant (return-from not-not-eliminate - (cond - ((eq true wff) - (if neg false true)) - ((eq false wff) - (if neg true false)) - (t - (if neg (values -wff wff) wff)))) - :if-compound (cond - ((eq *not* (head wff)) - (if neg (setf neg nil) (setf neg t -wff wff)) - (setf wff (arg1a wff))) - (t - (return-from not-not-eliminate - (if neg (values -wff wff) wff)))))))) - -(defun make-equivalence* (wffs &optional subst) - (ex-join* wffs subst *iff* true)) - -(defun make-exclusive-or* (wffs &optional subst) - (ex-join* wffs subst *xor* false)) - -(defun make-equivalence (wff1 wff2 &optional subst) - (cond - ((eq wff1 wff2) - true) - ((eq true wff1) - wff2) - ((eq true wff2) - wff1) - (t - (make-equivalence* (list wff1 wff2) subst)))) - -(defun make-exclusive-or (wff1 wff2 &optional subst) - (cond - ((eq wff1 wff2) - false) - ((eq false wff1) - wff2) - ((eq false wff2) - wff1) - (t - (make-exclusive-or* (list wff1 wff2) subst)))) - -(defun ex-join* (wffs subst connective identity) - ;; create equivalence or exclusive-or of wffs - ;; handle true, false, equal and complementary wffs - (let ((not-identity (if (eq true identity) false true)) - n n1 n2 negate) - (setf n (length (setf wffs (argument-list-a1 connective wffs subst identity)))) - (setf n1 (length (setf wffs (remove not-identity wffs)))) - (setf negate (oddp (- n n1))) - (setf n n1) - (do ((wffs* nil) wff) - ((null wffs) - (cond - ((null wffs*) - (if negate not-identity identity)) - (t - (when negate - (setf wffs* (if (ex-join-negation?) - (cons (negate (first wffs*)) (rest wffs*)) - (cons not-identity wffs*)))) - (cond - ((null (rest wffs*)) - (first wffs*)) - ((flatten-connectives?) - (make-compound* connective (nreverse wffs*))) - (t - (make-compound2 connective (nreverse wffs*))))))) - (setf wff (pop wffs)) - (setf n1 (length (setf wffs (remove wff wffs :test (lambda (x y) (equal-p x y subst)))))) - (setf n2 (length (setf wffs (remove wff wffs :test (lambda (x y) (complement-p x y subst)))))) - (psetq n1 (- n n1) ;count of wff in wffs - n2 (- n1 n2) ;count of ~wff in wffs - n n2) ;length of new value of wffs - (cond - ((evenp n1) - (when (oddp n2) - (push wff wffs*) - (setf negate (not negate)) ;was wrong (setf negate t); fixed 2011-05-13 - )) - ((evenp n2) - (push wff wffs*)) - (t - (setf negate (not negate)) ;was wrong (setf negate t); fixed 2011-05-13 - ))))) - -(defun negate0 (wffs &optional subst) - (declare (ignore subst)) - (cl:assert (eql 1 (length wffs))) - (make-compound* *not* wffs)) - -(defun negate* (wffs &optional subst) - (cl:assert (eql 1 (length wffs))) - (negate (first wffs) subst)) - -(defun make-implication* (wffs &optional subst) - (cl:assert (eql 2 (length wffs))) - (make-implication (first wffs) (second wffs) subst)) - -(defun make-reverse-implication* (wffs &optional subst) - (cl:assert (eql 2 (length wffs))) - (make-reverse-implication (first wffs) (second wffs) subst)) - -(defun make-conditional* (wffs &optional subst) - (cl:assert (eql 3 (length wffs))) - (make-conditional (first wffs) (second wffs) (third wffs) subst)) - -(defun make-conditional-answer* (wffs &optional subst) - (cl:assert (eql 3 (length wffs))) - (make-conditional-answer (first wffs) (second wffs) (third wffs) subst)) - -(defun negate (wff &optional subst) - (dereference - wff subst - :if-constant (cond - ((eq true wff) - false) - ((eq false wff) - true) - ((eliminate-negations?) - (proposition-complementer wff)) - (t - (make-compound *not* wff))) - :if-variable (not-wff-error wff) - :if-compound-cons (not-wff-error wff) - :if-compound-appl (let ((head (heada wff))) - (ecase (function-logical-symbol-p head) - ((nil) ;atomic - (cond - ((eliminate-negations?) - (make-compound* (relation-complementer head) (argsa wff))) - (t - (make-compound *not* wff)))) - (not - (arg1a wff)) - (and - (disjoin* (mapcar (lambda (arg) - (negate arg subst)) - (argsa wff)) - subst)) - (or - (conjoin* (mapcar (lambda (arg) - (negate arg subst)) - (argsa wff)) - subst)) - ((implies implied-by iff xor) - (make-compound *not* wff)) - (if - (let ((args (argsa wff))) - (make-compound head - (first args) - (negate (second args) subst) - (negate (third args) subst)))))))) - -(defun relation-complementer (fn) - ;; if complement has special properties - ;; such as associativity, rewrites, etc., - ;; these must be declared explicitly by the user - (or (function-complement fn) - (setf (function-complement fn) - (declare-relation (complement-name (function-name fn)) (function-arity fn))))) - -(defun proposition-complementer (const) - (or (constant-complement const) - (setf (constant-complement const) - (declare-proposition (complement-name (constant-name const)))))) - -(defun complement-name (nm &optional noninterned) - (let* ((s (symbol-name nm)) - (~s (if (eql #\~ (char s 0)) - (subseq s 1) - (to-string "~" s)))) - (if noninterned - (make-symbol ~s) - (intern ~s (symbol-package nm))))) - -(defun make-implication (wff1 wff2 &optional subst) - (cond - ((eq true wff1) - wff2) - ((eq true wff2) - wff2) - ((eq false wff1) - true) - ((eq false wff2) - (negate wff1 subst)) - ((equal-p wff1 wff2 subst) - true) - ((complement-p wff1 wff2 subst) - wff2) - ((and (compound-p wff2) (eq *implies* (head wff2))) - (let ((args2 (argsa wff2))) - (make-implication (conjoin wff1 (first args2) subst) (second args2) subst))) - ((eliminate-negations?) - (disjoin (negate wff1 subst) wff2 subst)) - (t - (make-compound *implies* wff1 wff2)))) - -(defun make-reverse-implication (wff2 wff1 &optional subst) - (cond - ((eq true wff1) - wff2) - ((eq true wff2) - wff2) - ((eq false wff1) - true) - ((eq false wff2) - (negate wff1 subst)) - ((equal-p wff1 wff2 subst) - true) - ((complement-p wff1 wff2 subst) - wff2) - ((and (compound-p wff2) (eq *implied-by* (head wff2))) - (let ((args2 (argsa wff2))) - (make-reverse-implication (first args2) (conjoin (second args2) wff1 subst) subst))) - ((eliminate-negations?) - (disjoin wff2 (negate wff1 subst) subst)) - (t - (make-compound *implied-by* wff2 wff1)))) - -(defun make-conditional (wff1 wff2 wff3 &optional subst) - (cond - ((eq true wff1) - wff2) - ((eq false wff1) - wff3) - ((negation-p wff1) - (make-conditional (arg1 wff1) wff3 wff2 subst)) - (t -;; (setf wff2 (substitute true wff1 wff2 subst)) -;; (setf wff3 (substitute false wff1 wff3 subst)) - (setf wff2 (prog-> - (map-atoms-in-wff-and-compose-result wff2 ->* atom polarity) - (declare (ignore polarity)) - (if (equal-p wff1 atom subst) true atom))) - (setf wff3 (prog-> - (map-atoms-in-wff-and-compose-result wff3 ->* atom polarity) - (declare (ignore polarity)) - (if (equal-p wff1 atom subst) false atom))) - (cond - ((eq true wff2) - (disjoin wff1 wff3 subst)) - ((eq false wff2) - (conjoin (negate wff1 subst) wff3 subst)) - ((eq true wff3) - (disjoin (negate wff1 subst) wff2 subst)) - ((eq false wff3) - (conjoin wff1 wff2 subst)) - ((equal-p wff2 wff3 subst) - wff2) - ((eliminate-negations?) - (disjoin - (conjoin wff1 wff2 subst) - (conjoin (negate wff1 subst) wff3 subst) - subst)) - (t - (make-compound *if* wff1 wff2 wff3)))))) - -(defun make-conditional-answer (wff1 wff2 wff3 &optional subst) - (cond - ((eq true wff1) - wff2) - ((eq false wff1) - wff3) - ((negation-p wff1) - (make-conditional-answer (arg1 wff1) wff3 wff2 subst)) - ((equal-p wff2 wff3 subst) - wff2) - (t - (make-compound *answer-if* wff1 wff2 wff3)))) - -(defun make-equality0 (term1 term2 &optional (relation *=*)) - (make-compound relation term1 term2)) - -(defun make-equality (term1 term2 &optional subst (relation *=*)) - (cond - ((equal-p term1 term2 subst) - true) - (t - (make-compound relation term1 term2)))) - -(defun complement-p (wff1 wff2 &optional subst) - (let ((appl nil) (neg nil)) - (loop - (dereference - wff1 nil - :if-constant (return) - :if-variable (not-wff-error wff1) - :if-compound-cons (not-wff-error wff1) - :if-compound-appl (if (eq *not* (heada wff1)) - (setf neg (not neg) wff1 (arg1a wff1)) - (return (setf appl t))))) - (loop - (dereference - wff2 nil - :if-constant (return (and neg (eql wff1 wff2))) - :if-variable (not-wff-error wff2) - :if-compound-cons (not-wff-error wff2) - :if-compound-appl (if (eq *not* (heada wff2)) - (setf neg (not neg) wff2 (arg1a wff2)) - (return (and appl neg (equal-p wff1 wff2 subst)))))))) - -(defun equal-or-complement-p (wff1 wff2 &optional subst) - (let ((appl nil) (neg nil)) - (loop - (dereference - wff1 nil - :if-constant (return) - :if-variable (not-wff-error wff1) - :if-compound-cons (not-wff-error wff1) - :if-compound-appl (if (eq *not* (heada wff1)) - (setf neg (not neg) wff1 (arg1a wff1)) - (return (setf appl t))))) - (loop - (dereference - wff2 nil - :if-constant (return (and (eql wff1 wff2) (if neg :complement :equal))) - :if-variable (not-wff-error wff2) - :if-compound-cons (not-wff-error wff2) - :if-compound-appl (if (eq *not* (heada wff2)) - (setf neg (not neg) wff2 (arg1a wff2)) - (return (and appl (equal-p wff1 wff2 subst) (if neg :complement :equal)))))))) - -;;; connectives.lisp EOF diff --git a/snark-20120808r02/src/constants.abcl b/snark-20120808r02/src/constants.abcl deleted file mode 100644 index f424e45a52f67263ec787a47cd1f758ffdee8eac..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 149163 zcmb5VRaBkrx}+Tl&cxl_-QC^Yb>c3;J-EAjaCg@PChqPof#4n_K$CB+-G6tF@$a!0 zNArNg8c)@IRlUk`pCQmc!N98b5=WBO0m zDJN!;6pY1E$n}~<7s@m53^p{i&I_F3tt(7UU9iiGOrLFU7iI73p;l+4JJq{QJ>C5} zK0ZnQPI5XST9xjo1fTNf;Q{*nw;3xPVHB$_!yY?hO?JKX%$`dMmU9~Ea6ag?{13FM 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zR{$LT(gAmWG!S23199kBhr0n3h%>K)IMh1a&2B*4V*|vY*5PjQ0OB26AP%(-_sd5R zrzXJ1J#nH?>u|pV193@m5Qkca`?U&)+f#rz)H>V+?I2D}4dPJia90b1_(^&Yhgyfb i{u0CqnE?F1uOA4Jg_?MHMabW5E. - -(in-package :snark) - -;;; Lisp symbols, strings, numbers, and characters are used directly as SNARK constants -;;; but SNARK needs to associate information with them -;;; it is stored in constant-info structures found in *constant-info-table* hash-array -;;; or *number-info-table* or *string-info-table* in the case of numbers and strings -;;; that only require sort information be stored - -(defstruct constant-info - (hash-code0 (make-atom-hash-code) :read-only t) - (boolean-valued-p0 nil) ;overloaded to be input name of the proposition - (constructor0 nil) - (magic t) ;nil means don't make magic-set goal for this proposition - (allowed-in-answer0 t) - (kbo-weight0 1) - (weight0 1) - (sort0 (top-sort)) - (plist nil)) ;property list for more properties - -(definline constant-number (const) - (funcall *standard-eql-numbering* :lookup const)) - -(defvar *constant-info-table*) - -(defmacro constant-info0 (const) - `(gethash ,const *constant-info-table*)) - -(definline constant-info (const &optional (action 'error)) - (or (constant-info0 const) - (init-constant-info const action))) - -(defun init-constant-info (const action) - (when action - (can-be-constant-name const action)) - (constant-number const) ;initialize it at first occurrence - (let ((info (make-constant-info))) - (setf (constant-info0 const) info))) - -(defmacro define-constant-slot-accessor (name &key read-only) - (let ((constant-slot (intern (to-string :constant- name) :snark)) - (constant-info-slot (intern (to-string :constant-info- name) :snark))) - `(progn - (#-(or allegro lispworks) definline #+(or allegro lispworks) defun ,constant-slot (const) - (,constant-info-slot (constant-info const))) - ,@(unless read-only - (list - `(defun (setf ,constant-slot) (value const) - (setf (,constant-info-slot (constant-info const)) value))))))) - -(define-constant-slot-accessor hash-code0 :read-only t) -(define-constant-slot-accessor boolean-valued-p0) -(define-constant-slot-accessor constructor0) -(define-constant-slot-accessor magic) -(define-constant-slot-accessor allowed-in-answer0) -(define-constant-slot-accessor kbo-weight0) -(define-constant-slot-accessor weight0) -(define-constant-slot-accessor sort0) -(define-constant-slot-accessor plist) - -(define-plist-slot-accessor constant :locked0) -(define-plist-slot-accessor constant :documentation) -(define-plist-slot-accessor constant :author) -(define-plist-slot-accessor constant :source) -(define-plist-slot-accessor constant :complement) ;complement of the symbol P is the symbol ~P -(define-plist-slot-accessor constant :skolem-p) -(define-plist-slot-accessor constant :created-p) -(define-plist-slot-accessor constant :do-not-resolve) - -(defvar *number-info-table*) ;number -> (sort) -(defvar *string-info-table*) ;string -> (sort canonical-string) - -(defstruct (number-info - (:type list) - (:copier nil)) - sort) - -(defstruct (string-info - (:type list) - (:copier nil)) - sort - (canonical nil :read-only t)) - -(defmacro number-info (number) - `(gethash ,number *number-info-table*)) - -(defmacro string-info (string) - `(gethash ,string *string-info-table*)) - -(defun number-canonical (x) - (cl:assert (numberp x)) - (cond - ((floatp x) - (rationalize x)) - ((and (complexp x) (float (realpart x))) - (complex (rationalize (realpart x)) (rationalize (imagpart x)))) - (t - x))) - -(defun declare-number (x) - (setf x (number-canonical x)) - (or (number-info x) - (progn - (constant-number x) ;initialize it at first occurrence - (setf (number-info x) (make-number-info :sort (the-sort (number-sort-name x)))))) - x) - -(defun declare-string (x) - (cl:assert (stringp x)) - ;; canonicalize strings so that (implies (string= str1 str2) (eq (declare-string str1) (declare-string str2))) - (string-info-canonical - (or (string-info x) - (progn - (constant-number x) ;initialize it at first occurrence - (setf (string-info x) (make-string-info :sort (the-sort (declare-string-sort?)) :canonical x)))))) - -(definline builtin-constant-p (x) - (or (numberp x) (stringp x))) - -(definline constant-builtin-p (const) - ;; equivalent to but faster than builtin-constant-p for known constants (can-be-constant-name is true) - (not (symbolp const))) - -(defun constant-hash-code (const) - (if (constant-builtin-p const) (+ 2 (mod (constant-number const) 1022)) (constant-hash-code0 const))) - -(definline constant-boolean-valued-p (const) - (if (constant-builtin-p const) nil (constant-boolean-valued-p0 const))) - -(definline constant-constructor (const) - (if (constant-builtin-p const) t (constant-constructor0 const))) - -(definline constant-allowed-in-answer (const) - (if (constant-builtin-p const) t (constant-allowed-in-answer0 const))) - -(definline constant-kbo-weight (const) - (if (constant-builtin-p const) - (let ((v (kbo-builtin-constant-weight?))) - (if (numberp v) v (funcall v const))) - (constant-kbo-weight0 const))) - -(definline constant-weight (const) - (if (constant-builtin-p const) - (let ((v (builtin-constant-weight?))) - (if (numberp v) v (funcall v const))) - (constant-weight0 const))) - -(defun constant-sort (const) - (cond - ((numberp const) - (number-info-sort (number-info const))) - ((stringp const) - (string-info-sort (string-info const))) - (t - (constant-sort0 const)))) - -(defun (setf constant-sort) (value const) - (cond - ((numberp const) - (setf (number-info-sort (number-info const)) value)) - ((stringp const) - (setf (string-info-sort (string-info const)) value)) - (t - (setf (constant-sort0 const) value)))) - -(definline constant-locked (const) - (if (constant-builtin-p const) t (constant-locked0 const))) - -(definline constant-name (const) - (or (constant-boolean-valued-p const) const)) - -(defun constant-name-lessp (x y) - (cond - ((complexp x) - (if (complexp y) (or (< (realpart x) (realpart y)) (and (= (realpart x) (realpart y)) (< (imagpart x) (imagpart y)))) t)) - ((complexp y) - nil) - ((realp x) - (if (realp y) (< x y) t)) - ((realp y) - nil) - ((stringp x) - (if (stringp y) (string< x y) t)) - ((stringp y) - nil) - (t - (string< x y)))) - -(defun initialize-constants () - (setf *constant-info-table* (make-hash-table)) - (setf *number-info-table* (make-hash-table)) - (setf *string-info-table* (make-hash-table :test #'equal)) - nil) - -(defmacro set-slot-if-supplied (type slot) - (let ((slot-supplied (intern (to-string slot :-supplied) :snark)) - (type-slot (intern (to-string type "-" slot) :snark))) - `(when ,slot-supplied - (setf (,type-slot symbol) ,slot)))) - -(defun declare-constant-symbol0 (symbol - &key - alias - ((:sort sort0) nil) - ((:locked locked0) nil) - (documentation nil documentation-supplied) - (author nil author-supplied) - (source nil source-supplied) - (complement nil complement-supplied) - (magic t magic-supplied) - (skolem-p nil skolem-p-supplied) - (created-p nil created-p-supplied) - ((:constructor constructor0) nil constructor0-supplied) - ((:allowed-in-answer allowed-in-answer0) nil allowed-in-answer0-supplied) - ((:kbo-weight kbo-weight0) nil kbo-weight0-supplied) - ((:weight weight0) nil weight0-supplied) - (do-not-resolve nil do-not-resolve-supplied) - ) - ;; doesn't do anything if no keywords are supplied - (when constructor0-supplied - (cl:assert (implies (constant-builtin-p symbol) constructor0) () "Builtin constant ~S cannot be a nonconstructor." symbol)) - (when alias - (create-aliases-for-symbol symbol alias)) - (when sort0 - (declare-constant-sort symbol sort0)) - (when locked0 - (setf (constant-locked0 symbol) locked0)) ;stays locked - (set-slot-if-supplied constant documentation) - (set-slot-if-supplied constant author) - (set-slot-if-supplied constant source) - (set-slot-if-supplied constant complement) - (set-slot-if-supplied constant magic) - (set-slot-if-supplied constant skolem-p) - (set-slot-if-supplied constant created-p) - (set-slot-if-supplied constant constructor0) - (set-slot-if-supplied constant allowed-in-answer0) - (set-slot-if-supplied constant kbo-weight0) - (set-slot-if-supplied constant weight0) - (set-slot-if-supplied constant do-not-resolve) - symbol) - -(defun changeable-keys-and-values0 (keys-and-values changeable) - (let ((keys-and-values1 nil) keys-and-values1-last - (keys-and-values2 nil) keys-and-values2-last) - (loop - (cond - ((endp keys-and-values) - (return (values keys-and-values1 keys-and-values2))) - ((member (first keys-and-values) changeable) - (collect (pop keys-and-values) keys-and-values1) - (collect (pop keys-and-values) keys-and-values1)) - (t - (collect (pop keys-and-values) keys-and-values2) - (collect (pop keys-and-values) keys-and-values2)))))) - -(defun changeable-keys-and-values (symbol keys-and-values changeable) - (let (keys-and-values2) - (setf (values keys-and-values keys-and-values2) (changeable-keys-and-values0 keys-and-values changeable)) - (when keys-and-values2 - (warn "Ignoring declaration of locked symbol ~S with arguments~{ ~S~}." symbol keys-and-values2)) - keys-and-values)) - -(defun declare-constant-symbol1 (symbol keys-and-values) - (cond - ((null keys-and-values) - symbol) - (t - (apply 'declare-constant-symbol0 - symbol - (cond - ((and (constant-locked symbol) (eq none (getf keys-and-values :locked none))) - (changeable-keys-and-values - symbol - keys-and-values - (if (constant-builtin-p symbol) '(:alias :sort) (changeable-properties-of-locked-constant?)))) - (t - keys-and-values)))))) - -(defun declare-constant (name &rest keys-and-values) - (declare (dynamic-extent keys-and-values)) - (declare-constant-symbol1 (input-constant-symbol name) keys-and-values)) - -(defun declare-proposition (name &rest keys-and-values) - (declare (dynamic-extent keys-and-values)) - (declare-constant-symbol1 (input-proposition-symbol name) keys-and-values)) - -;;; constants.lisp EOF diff --git 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this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2010. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -(declaim (special *processing-row*)) - -(defgeneric checkpoint-theory (theory) - ;; create checkpoint - (:method (theory) - (error "No checkpoint method for theory ~S." theory))) - -(defgeneric uncheckpoint-theory (theory) - ;; eliminate checkpoint, keeping changes since then - (:method (theory) - (error "No uncheckpoint method for theory ~S." theory))) - -(defgeneric restore-theory (theory) - ;; undo changes since checkpoint, keeping checkpoint - (:method (theory) - (error "No restore method for theory ~S." theory))) - -(defgeneric theory-closure (theory) - ;; returns non-NIL value if theory is inconsistent - (:method (theory) - (error "No closure method for theory ~S." theory))) - -(defgeneric theory-assert (atom theory) - (:method (atom theory) - (declare (ignorable atom)) - (error "No assert method for theory ~S." theory))) - -(defgeneric theory-deny (atom theory) - (:method (atom theory) - (declare (ignorable atom)) - (error "No deny method for theory ~S." theory))) - -(defgeneric theory-simplify (wff theory) - ;; wff is disjunction of literals - (:method (wff theory) - (let ((row *processing-row*)) - (cond - ((or (eq true wff) (eq false wff)) - wff) - ((and row - (eq false (row-wff row)) - (not (row-nonassertion-p row)) - (eq theory (row-unit-constraint row)) - (ground-p wff)) - (mvlet (((values atom polarity) (literal-p wff))) - (if (eq :pos polarity) - (theory-assert2 atom theory) - (theory-deny2 atom theory))) - false) - (t - (checkpoint-theory theory) - (let ((wff* (prog-> - (map-atoms-in-wff-and-compose-result wff ->* atom polarity) - (cond - ((if (eq :pos polarity) - (theory-falsep atom theory) - (theory-truep atom theory)) -;; (when row -;; (pushnew theory (row-rewrites-used row))) - (if (eq :pos polarity) false true)) - ((progn - (if (eq :pos polarity) - (theory-deny atom theory) - (theory-assert atom theory)) - (theory-closure theory)) - (restore-theory theory) - (uncheckpoint-theory theory) - (return-from theory-simplify false)) - (t - atom))))) - (restore-theory theory) - (uncheckpoint-theory theory) - wff*))))) - (:method (wff (theory (eql 'assumption))) - (let ((row-wff (row-wff *processing-row*))) - (cond - ((and (clause-p row-wff) (clause-p wff nil nil t)) - (prog-> - (map-atoms-in-wff-and-compose-result wff ->* atom polarity) - (or (prog-> - (map-atoms-in-wff row-wff ->* atom2 polarity2) - (when (and (eq polarity polarity2) (equal-p atom atom2)) - (return-from prog-> (if (eq :pos polarity) true false)))) - atom))) - (t - wff))))) - -(defgeneric theory-rewrite (wff theory) - (:method (wff theory) - (declare (ignorable theory)) - (rewriter wff nil)) - (:method (wff (theory (eql 'assumption))) - wff)) - -(defun theory-assert2 (atom theory) - (checkpoint-theory theory) - (theory-assert atom theory) - (when (theory-closure theory) ;inconsistent? - (cerror "Continue without asserting it." - "Asserting ~A leads to a contradiction." - atom) - (restore-theory theory)) - (uncheckpoint-theory theory)) - -(defun theory-deny2 (atom theory) - (checkpoint-theory theory) - (theory-deny atom theory) - (when (theory-closure theory) ;inconsistent? - (cerror "Continue without denying it." - "Denying ~A leads to a contradiction." - atom) - (restore-theory theory)) - (uncheckpoint-theory theory)) - -(defun theory-truep (atom theory) - (let (inconsistent) - (checkpoint-theory theory) - (theory-deny atom theory) - (setf inconsistent (theory-closure theory)) - (restore-theory theory) - (uncheckpoint-theory theory) - inconsistent)) - -(defun theory-falsep (atom theory) - (let (inconsistent) - (checkpoint-theory theory) - (theory-assert atom theory) - (setf inconsistent (theory-closure theory)) - (restore-theory theory) - (uncheckpoint-theory theory) - inconsistent)) - -(defun simplify-constraint-alist (alist) - (and alist - (let* ((x (first alist)) - (x* (lcons (car x) (theory-simplify (cdr x) (car x)) x))) - (cond - ((eq false (cdr x*)) - (simplify-constraint-alist (rest alist))) - (t - (lcons x* (simplify-constraint-alist (rest alist)) alist)))))) - -(defun rewrite-constraint-alist (alist) - (and alist - (let* ((x (first alist)) - (x* (lcons (car x) (theory-rewrite (cdr x) (car x)) x))) - (cond - ((eq false (cdr x*)) - (rewrite-constraint-alist (rest alist))) - (t - (lcons x* (rewrite-constraint-alist (rest alist)) alist)))))) - -(defun assumptive-constraint-theory-p (theory) - ;; assumptive constraint theories can simply be assumed - ;; they don't require row coverage - (eq 'assumption theory)) - -(defun row-constrained-p (row) - (dolist (x (row-constraints row) nil) - (unless (eq false (cdr x)) - (return t)))) - -(defun row-constrained-p2 (row) - (dolist (x (row-constraints row) nil) - (unless (or (eq false (cdr x)) - (assumptive-constraint-theory-p (car x))) - (return t)))) - -(defun row-unit-constraint (row) - (let ((v nil)) - (dolist (x (row-constraints row)) - (cond - ((eq false (cdr x)) - ) - (v - (setf v nil) - (return)) - ((assumptive-constraint-theory-p (car x)) - (return)) - (t - (setf v x)))) - (when v - (mvlet* (((list* theory wff) v) - ((values atom polarity) (literal-p wff))) - (when atom - (values theory atom polarity)))))) - -(defun row-constraint-coverage (rows) - ;; returns t if row-constraint coverage is complete - ;; by doing matings search over constraint wffs - ;; but with NO INSTANTIATION - ;; cf. Bjorner, Stickel, Uribe CADE-14 paper - (let ((theories nil) (new-rows nil) new-rows-last) - (dolist (row rows) - (dolist (x (row-constraints row)) - (mvlet (((list* theory wff) x)) - (cl:assert (neq false wff)) - (unless (or (eq true wff) - (member theory theories) - (assumptive-constraint-theory-p theory) - (theory-closure theory)) - (checkpoint-theory theory) - (push theory theories))))) - (dolist (row rows) - (mvlet (((values theory atom polarity) (row-unit-constraint row))) - (cond - ((and theory (member theory theories)) - (if (eq :pos polarity) - (theory-assert atom theory) - (theory-deny atom theory))) - (t - (collect row new-rows))))) - (prog1 - (dolist (theory theories t) - (unless (theory-closure theory) - (return (row-constraint-coverage* new-rows theories)))) - (dolist (theory theories) - (restore-theory theory) - (uncheckpoint-theory theory))))) - -(defun row-constraint-coverage* (rows theories) - (and rows - (dolist (x (row-constraints (first rows)) t) ;return t if all paths closed - (mvlet (((list* theory wff) x)) ;constraint wff is conjunction of literals - (unless (or (eq true wff) - (not (member theory theories)) - (theory-closure theory)) - (prog-> - (map-atoms-in-wff wff ->* atom polarity) - (cond - ((prog2 - (checkpoint-theory theory) - (progn - (if (eq :pos polarity) ;trial value - (theory-assert atom theory) - (theory-deny atom theory)) - (or (theory-closure theory) ;inconsistent now? - (row-constraint-coverage* (rest rows) theories))) ;all paths closed? - (restore-theory theory) - (uncheckpoint-theory theory)) - #+ignore - (if (eq :pos polarity) ;assert negation and continue - (theory-deny atom theory) - (theory-assert atom theory))) - (t - (return-from row-constraint-coverage* nil))))))))) ;return nil if unclosed path - -(defmethod checkpoint-theory ((theory (eql 'equality))) - nil) - -(defmethod uncheckpoint-theory ((theory (eql 'equality))) - nil) - -(defmethod restore-theory ((theory (eql 'equality))) - nil) - -(defmethod theory-closure ((theory (eql 'equality))) - nil) - -(defmethod theory-assert (atom (theory (eql 'equality))) - (declare (ignorable atom)) - nil) - -(defmethod theory-deny (atom (theory (eql 'equality))) - (declare (ignorable atom)) - nil) - -(defmethod theory-simplify (wff (theory (eql 'equality))) - wff) - -(defmethod checkpoint-theory ((theory (eql 'test))) - nil) - -(defmethod uncheckpoint-theory ((theory (eql 'test))) - nil) - -(defmethod restore-theory ((theory (eql 'test))) - nil) - -(defmethod theory-closure ((theory (eql 'test))) - nil) - -(defmethod theory-assert (atom (theory (eql 'test))) - (declare (ignorable atom)) - nil) - -(defmethod theory-deny (atom (theory (eql 'test))) - (declare (ignorable atom)) - nil) - -(defmethod theory-simplify (wff (theory (eql 'test))) - wff) - -(defun assumption-test1 () - ;; answer 1 with assumption (b 1) - ;; answer 2 with assumption (a 2) - ;; answer ?x with assumption (and (a ?x) (b ?x)) - (initialize) - (use-resolution) - (use-subsumption-by-false) - (assert '(a 1)) - (assert '(b 2)) - (assert '(a ?x) :constraints '((assumption (a ?x)))) - (assert '(b ?x) :constraints '((assumption (b ?x)))) - (prove '(and (a ?x) (b ?x)) :answer '(values ?x))) - -(defun assumption-test2 () - (initialize) - (use-resolution) - (assert '(implies (bird ?x) (flies ?x)) :constraints '((assumption (normal-wrt-flies ?x)))) - (assert '(bird tweety)) - (prove '(flies tweety))) - -;;; constraints.lisp EOF diff --git a/snark-20120808r02/src/counters.abcl b/snark-20120808r02/src/counters.abcl deleted file mode 100644 index 359662a89b924bcc1ec7f3bd1672a79443510754..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 28012 zcmb5VWm}xxqO2PN1PG10yKCc~;7)Ld(73y6f;8^#?(QDk-Q7L7lMvu^-Z|GfYwv6C zbIsMC`Ulh)RpYLD6lI}dFyFz$!@sLd3Y32L-+mt<|BdWiY@JOUotVE?s@piF^Ps*? zR!?`|0kX&>a0$jEkHCh!Gq8wZq!vQI35%B6!#8^5pC9e0#$|PjnOt9>@GRW2C8J$6 zO1dbV%<~p5YOj>;9Nwfm%EBf|+$Ge7OgPw+p`v5_B$XA6z=K&(W0YRO$XuetM;20G 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-1,90 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark-lisp -*- -;;; File: counters.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2010. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-lisp) - -(defstruct (counter - (:constructor make-counter (&optional (increments 0))) - (:copier nil)) - (increments 0 :type integer) - (decrements 0 :type integer) - (previous-peak-value 0 :type integer)) - -(defun increment-counter (counter &optional (n 1)) - (declare (type integer n)) -;;(cl:assert (<= 0 n)) - (incf (counter-increments counter) n) - nil) - -(defun decrement-counter (counter &optional (n 1)) - (declare (type integer n)) -;;(cl:assert (<= 0 n)) - (let* ((d (counter-decrements counter)) - (v (- (counter-increments counter) d))) - (when (> v (counter-previous-peak-value counter)) - (setf (counter-previous-peak-value counter) v)) - (setf (counter-decrements counter) (+ d n)) - nil)) - -(defun counter-value (counter) - (- (counter-increments counter) (counter-decrements counter))) - -(defun counter-values (counter) - ;; returns 4 values: current value, peak value, #increments, #decrements - (let* ((i (counter-increments counter)) - (d (counter-decrements counter)) - (v (- i d))) - (values v (max v (counter-previous-peak-value counter)) i d))) - -(definline show-count-p (n) - (dolist (v '(1000000 100000 10000 1000 100 10) t) - (when (>= n v) - (return (eql 0 (rem n v)))))) - -(defun show-count (n) - (princ #\Space) - (let (q r) - (cond - ((eql 0 n) - (princ 0)) - ((progn (setf (values q r) (truncate n 1000000)) (eql 0 r)) - (princ q) (princ #\M)) - ((progn (setf (values q r) (truncate n 1000)) (eql 0 r)) - (princ q) (princ #\K)) - (t - (princ n)))) - (princ #\Space) - (force-output) - n) - -(defun show-count0 (n) - (if (and (neql 0 n) (show-count-p n)) n (show-count n))) - -(defun show-count1 (n) - (if (show-count-p n) (show-count n) n)) - -(defmacro princf (place &optional (delta 1)) - ;; increment counter and maybe print it - ;; if delta is 0, print the counter unless the previous increment did - (cl:assert (member delta '(0 1))) - (if (eql 0 delta) - `(show-count0 ,place) - `(show-count1 (incf ,place)))) - -;;; 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You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2010. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -;;; $$date-point and $$date-interval are external (solely for user convenience) function symbols -;;; for date points and intervals; they are replaced by $$utime-point and $$utime-interval when -;;; formulas are input -;;; -;;; $$utime-point and $$utime-interval are internal function symbols for dates -;;; they use Lisp universal time representation (which counts seconds since 1900-01-01T00:00:00) -;;; -;;; $$date-point and $$date-interval use 1 to 6 integer arguments -;;; year, month, day, hour, minute, second -;;; to specify dates -;;; -;;; examples of SNARK dates and their translations: -;;; ($$date-point 2002 4 1 16 27 20) -> ($$utime-point 3226667240) -;;; ($$date-interval 2002 4 1 16 34) -> ($$utime-interval 3226667640 3226667700) -;;; ($$date-interval 2002 4 1 16 34 :until 2002 4 1 16 35) -> ($$utime-interval 3226667640 3226667700) -;;; ($$date-interval 2002 4 1 16 34 :until 2002 4 1 17) -> ($$utime-interval 3226667640 3226669200) -;;; -;;; 20071215: avoid use of $$date-interval (and $$utime-interval) -;;; reasoning is more complete and effective if just $$date-point (and $$utime-point) are used - -(defvar *date-point*) -(defvar *utime-point*) -(defvar *date-interval*) -(defvar *utime-interval*) - -(defun declare-code-for-dates () - ;; declare symbols without some properties here - ;; defer full definition until declare-time-relations is called - (setf *date-point* (declare-function1 '$$date-point :any :macro t :input-code 'input-date-point)) - (setf *utime-point* (declare-function - '$$utime-point 1 - :constructor t -;; :index-type :hash-but-dont-index - :to-lisp-code 'utime-point-term-to-lisp)) - (setf *date-interval* (declare-function1 '$$date-interval :any :macro t :input-code 'input-date-interval)) - (setf *utime-interval* (declare-function - '$$utime-interval 2 - :constructor t -;; :index-type :hash-but-dont-index - :to-lisp-code 'utime-interval-term-to-lisp)) - nil) - -(defun can-be-date-p (list &optional action) - ;; a proper date is a list of 1 to 6 integers with appropriate values - ;; interpreted as year, month, day, hour, minute, and second - (or (let* ((list list) - (year (pop list))) - (and (integerp year) - (<= 1900 year) - (implies - list - (let ((month (pop list))) - (and (integerp month) - (<= 1 month 12) - (implies - list - (let ((day (pop list))) - (and (integerp day) - (<= 1 day (days-per-month month year)) - (implies - list - (let ((hour (pop list))) - (and (integerp hour) - (<= 0 hour 23) - (implies - list - (let ((minute (pop list))) - (and (integerp minute) - (<= 0 minute 59) - (implies - list - (let ((second (pop list))) - (and (integerp second) - (<= 0 second 59) ;no leap seconds! - (null list)))))))))))))))))) - (and action (funcall action "~A cannot be a date." list)))) - -(defun encode-universal-time-point (year &optional month day hour minute second) - (can-be-date-p (list year (or month 1) (or day 1) (or hour 0) (or minute 0) (or second 0)) 'error) - (encode-universal-time - (or second 0) - (or minute 0) - (or hour 0) - (or day 1) - (or month 1) - year - 0)) - -(defun decode-universal-time-point (universal-time-point) - (mvlet (((values second minute hour day month year) - (decode-universal-time universal-time-point 0))) - (cond - ((/= 0 second) - (list year month day hour minute second)) - ((/= 0 minute) - (list year month day hour minute)) - ((/= 0 hour) - (list year month day hour)) - ((/= 1 day) - (list year month day)) - ((/= 1 month) - (list year month)) - (t - (list year))))) - -(defun encode-universal-time-interval (year &optional month day hour minute second) - (let ((v (encode-universal-time-point year month day hour minute second))) - (list v - (+ v (or (and second 1) ;1 second long interval - (and minute 60) ;1 minute long interval - (and hour 3600) ;1 hour long interval - (and day 86400) ;1 day long interval - (and month (* (days-per-month month year) 86400)) ;1 month long interval - (* (if (leap-year-p year) 366 365) 86400)))))) ;1 year long interval - -(defun decode-universal-time-interval (universal-time-interval) - (mvlet (((list start finish) universal-time-interval)) - (values (decode-universal-time-point start) (decode-universal-time-point finish)))) - -(defun pp-compare-universal-times (point1 point2) - (cond - ((< point1 point2) - 'p point1 point2) - 'p>p) - (t - 'p=p))) - -(defun ii-compare-universal-times (interval1 interval2) - (mvlet (((list start1 finish1) interval1) - ((list start2 finish2) interval2)) - (cond - ((= start1 start2) - (if (< finish1 finish2) 's (if (> finish1 finish2) 'si '=))) - ((= finish1 finish2) - (if (> start1 start2) 'f 'fi)) - ((<= finish1 start2) - (if (= finish1 start2) 'm '<)) - ((>= start1 finish2) - (if (= start1 finish2) 'mi '>)) - ((< start1 start2) - (if (> finish1 finish2) 'di 'o)) - (t - (if (< finish1 finish2) 'd 'oi))))) - -(defun pi-compare-universal-times (point interval) - (mvlet (((list start finish) interval)) - (cond - ((<= point start) - (if (= point start) 'p_s_i 'p= point finish) - (if (= point finish) 'p_f_i 'p>i)) - (t - 'p_d_i)))) - -(defun declare-date-functions (&key intervals points) - (when points - (declare-function1 '$$utime-point 1 :sort (list (time-point-sort-name?)))) - (when intervals - (declare-function1 '$$utime-interval 2 :sort (list (time-interval-sort-name?)))) - (when points - (declare-relation1 '$$time-pp 3 :locked nil :rewrite-code 'time-pp-atom-rewriter-for-dates) - (declare-utime-pp-composition)) - (when intervals - (declare-relation1 '$$time-ii 3 :locked nil :rewrite-code 'time-ii-atom-rewriter-for-dates)) - (when (and points intervals) - (declare-relation1 '$$time-pi 3 :locked nil :rewrite-code 'time-pi-atom-rewriter-for-dates) - (declare-utime-pi-composition)) - nil) - -(defun input-date-point (head args polarity) - (declare (ignore head polarity)) - (make-compound *utime-point* (declare-constant (apply 'encode-universal-time-point args)))) - -(defun input-date-interval (head args polarity) - (declare (ignore head polarity)) - (let (v start finish) - (cond - ((setf v (member :until args)) - (setf start (apply 'encode-universal-time-point (ldiff args v))) - (setf finish (apply 'encode-universal-time-point (rest v))) - (cl:assert (< start finish))) - (t - (setf v (apply 'encode-universal-time-interval args)) - (setf start (first v)) - (setf finish (second v)))) - (declare-constant start) - (declare-constant finish) - (make-compound *utime-interval* start finish))) - -(defun utime-point-term-to-lisp (head args subst) - (declare (ignore head)) - (or (let ((arg1 (first args))) - (and (dereference arg1 subst :if-constant (integerp arg1)) - (cons (function-name *date-point*) - (decode-universal-time-point arg1)))) - none)) - -(defun utime-interval-term-to-lisp (head args subst) - (declare (ignore head)) - (or (let ((arg1 (first args)) - (arg2 (second args))) - (and (dereference arg1 subst :if-constant (integerp arg1)) - (dereference arg2 subst :if-constant (integerp arg2)) - (cons (function-name *date-interval*) - (append (decode-universal-time-point arg1) - (cons :until (decode-universal-time-point arg2)))))) - none)) - -(defun utime-point-term-p (term subst) - (dereference - term subst - :if-compound-appl (and (eq *utime-point* (heada term)) - (let* ((args (argsa term)) - (arg1 (first args))) - (and (dereference arg1 subst :if-constant (integerp arg1)) - arg1))))) - -(defun utime-interval-term-p (term subst) - (dereference - term subst - :if-compound-appl (and (eq *utime-interval* (heada term)) - (let* ((args (argsa term)) - (arg1 (first args)) - (arg2 (second args))) - (and (dereference arg1 subst :if-constant (integerp arg1)) - (dereference arg2 subst :if-constant (integerp arg2)) - (if (and (eql arg1 (first args)) - (eql arg2 (second args))) - args - (list arg1 arg2))))))) - -(defun time-ii-atom-rewriter-for-dates (term subst) - (let ((args (args term)) m n v) - (cond - ((and (setf m (utime-interval-term-p (first args) subst)) - (setf n (utime-interval-term-p (second args) subst)) - (progn (setf v (third args)) (dereference v subst :if-compound-cons t))) - (setf v (nth (jepd-relation-code (ii-compare-universal-times m n) $time-ii-relation-code) v)) - (if (dereference v subst :if-variable t) false true)) - (t - none)))) - -(defun time-pp-atom-rewriter-for-dates (term subst) - (let ((args (args term)) m n v) - (cond - ((and (setf m (utime-point-term-p (first args) subst)) - (setf n (utime-point-term-p (second args) subst)) - (progn (setf v (third args)) (dereference v subst :if-compound-cons t))) - (setf v (nth (jepd-relation-code (pp-compare-universal-times m n) $time-pp-relation-code) v)) - (if (dereference v subst :if-variable t) false true)) - (t - none)))) - -(defun time-pi-atom-rewriter-for-dates (term subst) - (let ((args (args term)) m n v) - (cond - ((and (setf m (utime-point-term-p (first args) subst)) - (setf n (utime-interval-term-p (second args) subst)) - (progn (setf v (third args)) (dereference v subst :if-compound-cons t))) - (setf v (nth (jepd-relation-code (pi-compare-universal-times m n) $time-pi-relation-code) v)) - (if (dereference v subst :if-variable t) false true)) - (t - none)))) - -(defun declare-utime-pp-composition () - ;; use relations between x&z and z&y to constrain relation between x&y where x and z are utimes and y is a point - (declare-relation1 - '$$utime-pp-composition - 5 - :rewrite-code - (list - (lambda (atom subst) - (let ((args (args atom)) m n) - (or (and (setf m (utime-point-term-p (third args) subst)) - (setf n (utime-point-term-p (fifth args) subst)) - (if (/= m n) - (make-compound - (input-relation-symbol '$$time-pp-composition 5) - (if (< m n) - (list 1 (make-and-freeze-variable) (make-and-freeze-variable)) - (list (make-and-freeze-variable) (make-and-freeze-variable) 1)) - (second (args atom)) - (third (args atom)) - (fifth (args atom)) - (fourth (args atom))) - true)) - none))))) - (assert `(forall (?x (?y :sort ,(time-point-sort-name?)) ?z ?l1 ?l2) - (implies (and ($$time-pp ($$utime-point ?x) ?y ?l1) - ($$time-pp ($$utime-point ?z) ?y ?l2)) - ($$utime-pp-composition ?l1 ?l2 ($$utime-point ?x) ?y ($$utime-point ?z)))) - :name :$$utime-pp-composition - :supported nil)) - -(defun declare-utime-pi-composition () - ;; use relations between x&z and z&y to constrain relation between x&y where x and z are utimes and y is an interval - (declare-relation1 - '$$utime-pi-composition - 5 - :rewrite-code - (list - (lambda (atom subst) - (let ((args (args atom)) m n) - (or (and (setf m (utime-point-term-p (third args) subst)) - (setf n (utime-point-term-p (fifth args) subst)) - (if (/= m n) - (make-compound - (input-relation-symbol '$$time-pi-pp-composition 5) - (if (< m n) - (list 1 (make-and-freeze-variable) (make-and-freeze-variable)) - (list (make-and-freeze-variable) (make-and-freeze-variable) 1)) - (second (args atom)) - (third (args atom)) - (fifth (args atom)) - (fourth (args atom))) - true)) - none))))) - (assert `(forall (?x (?y 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z#wG`)9x7pB^`%TXbOg1tDKq=1n#S9qE=J|EhB|`U*%39nRGlfRfvM}uwTPg0E_{Ad zvKn$;gGMcS6A(OCWNRJGPM1I)g+Mm@5JBzq=l;G?a`Gl8ATG+&Nvn%AYUkom@+L_l zn{Gg7e_WmmI)d6c^TP3RHSbJ;y6A021hsQwU~ZDy555c#URnL>rJ!~u1xNe}fu(S~ zg9vKp{cF4P)Ir-cD8)~Q5kc*If8TZ|NBHC}0zD9F=ZR?Nw1)yDv(5a&r@R!y zZGhmpqCj0;4R6#|NtuOWikd2U|z`o*G^6H+WKHxNPXTrlL_sD@sT zd{NlA68QTUL{K~Tm3b{{TVx0pR`%P7pmuIup150WqejHu2}Dpk{c(GC$+kgL5W3mG z6e6gdw_MlK668@7283k>5!6nb^N%5p*fDFiZf6FyGxGX%V~dn^B+J2wKMV-9wVa1h6rkB. - -(in-package :snark-dpll) -(defparameter dp-prover :|LDPP'|) ;the name of this prover -(defparameter dp-version "3.481") ;its version number - -;;; LDPP' -;;; -;;; Satisfiability Testing by the Davis-Putnam Procedure -;;; Using List Representation for a Set of Propositional Clauses -;;; by -;;; Mark E. Stickel -;;; Artificial Intelligence Center -;;; SRI International -;;; Menlo Park, California 94025 -;;; (stickel@ai.sri.com) -;;; -;;; LDPP' is a fairly fast implementation of the Davis-Putnam procedure, -;;; but still has several deficiencies. There is -;;; no checking that a negative clause exists -;;; no intelligent literal selection criteria -;;; no looking for symmetry -;;; -;;; -;;; Some information about LDPP' and related systems can be found in -;;; H. Zhang and M.E. Stickel. Implementing the Davis-Putnam algorithm by tries. -;;; Technical Report, Computer Science Department, The University of Iowa, -;;; Iowa City, Iowa, August 1994. -;;; obtainable by FTP from ftp.cs.uiowa.edu: /pub/hzhang/sato/papers/davis.dvi.Z -;;; -;;; -;;; Usage: -;;; A set of clauses can be created incrementally by -;;; (setf clause-set (make-dp-clause-set)) -;;; followed by calls -;;; (dp-insert clause clause-set) or -;;; (dp-insert-wff wff clause-set). -;;; A set of clauses can be tested for satisfiability by -;;; (dp-satisfiable-p clause-set {options}*). -;;; A set of clauses or wffs in a file can be tested by -;;; (dp-satisfiable-file-p filename {options}*). -;;; See examples at the end of this file. -;;; -;;; -;;; LDPP' is an implementation of the Davis-Putnam procedure without logical -;;; refinements. It is efficient because of the way it performs the crucial -;;; truth-value assignment operation. LDPP' uses reversible destructive list -;;; operations, similarly to Crawford and Auton's TABLEAU, Letz's SEMPROP, -;;; Zhang's SATO, and McCune's MACE theorem provers. -;;; -;;; In LDPP', a set of clauses is represented by a list of structures for -;;; clauses and a list of structures for atomic formulas. The structure for -;;; a clause contains the fields: -;;; -;;; * POSITIVE-LITERALS, NEGATIVE-LITERALS: List of pointers to structures -;;; for atomic formulas occurring positively (resp., negatively) in this -;;; clause. -;;; -;;; * NUMBER-OF-UNRESOLVED-POSITIVE-LITERALS, NUMBER-OF-UNRESOLVED-NEGATIVE-LITERALS: -;;; This is the number of atomic formulas in POSITIVE-LITERALS -;;; (resp., NEGATIVE-LITERALS) that have not been resolved away. -;;; They may have been assigned the opposite truth-value and the clause -;;; is really subsumed. -;;; -;;; The structure for an atomic formula contains the fields: -;;; -;;; * VALUE: This is TRUE if the atomic formula has been assigned the value -;;; true, FALSE if it has been assigned false, and NIL if no value has been -;;; assigned. -;;; -;;; * CONTAINED-POSITIVELY-CLAUSES, CONTAINED-NEGATIVELY-CLAUSES: List of -;;; pointers to structures for clauses that contain this atomic formula -;;; positively (resp., negatively). -;;; -;;; To assign true to an atomic formula: -;;; -;;; * Its VALUE field is set to TRUE. -;;; -;;; * Every clause in CONTAINED-NEGATIVELY-CLAUSES has its -;;; NUMBER-OF-UNRESOLVED-NEGATIVE-LITERALS field decremented by one. -;;; Note that we don't modify NEGATIVE-LITERALS itself. -;;; If the sum of NUMBER-OF-UNRESOLVED-NEGATIVE-LITERALS -;;; and NUMBER-OF-UNRESOLVED-POSITIVE-LITERALS is zero, the current truth -;;; assignment yields the unsatisfiable empty clause. If the sum is one, a -;;; new unit clause has been produced. The newly derived unit clause can be -;;; identified by finding the only atom in POSITIVE-LITERALS or -;;; NEGATIVE-LITERALS whose VALUE is NIL. These are queued and assigned -;;; values before assign exits so that all unit propagation is done inside -;;; the assign procedure. -;;; -;;; To undo an assignment of true to an atomic formula and thus restore -;;; the set of clauses to their state before the assignment so alternative -;;; assignments can be tested: -;;; -;;; * The VALUE field for the atomic formula is set to NIL. -;;; -;;; * Every clause in CONTAINED-NEGATIVELY-CLAUSES has its -;;; NUMBER-OF-UNRESOLVED-NEGATIVE-LITERALS field incremented by one. -;;; -;;; Assignment of false to an atomic formula is done analogously. - -(defvar dp-tracing 100000) ;prints trace information -(defvar dp-tracing-state 10) ;prints current choice points - ;once every 10000*10 branches -(defvar dp-tracing-models nil) ;prints models found -(defvar dp-tracing-choices 2) ;print values of split atoms - ; to this depth of splitting - ; beyond shallowest backtrack -;;; When dp-tracing is the number N, branch number is printed once for each -;;; N branches. -;;; When dp-tracing = T, dp-tracing enables the following: -;;; print number of branches each time a branch is added -;;; print Succeed(M/N) when terminating a success branch -;;; print Fail(M/N) when terminating a failure branch -;;; where M is the number of success/failure branches -;;; and N is total number of terminated branches so far. - -(defstruct (dp-clause-set - (:print-function print-dp-clause-set3) - (:copier nil)) - (atoms nil) - (number-of-atoms 0 :type integer) ;in atom-hash-table, may not all appear in clauses - (number-of-clauses 0 :type integer) - (number-of-literals 0 :type integer) - (p-clauses nil) ;clauses that initially contained only positive literals - (n-clauses nil) ;clauses that initially contained only negative literals - (m1-clauses nil) ;clauses that initially were mixed Horn clauses - (m2-clauses nil) ;clauses that initially were mixed non-Horn clauses - (atom-hash-table (make-hash-table :test #'equal)) - (atoms-last nil) - (p-clauses-last nil) - (n-clauses-last nil) - (m1-clauses-last nil) - (m2-clauses-last nil) - (number-to-atom-hash-table (make-hash-table)) - (checkpoint-level 0 :type fixnum) - (checkpoints nil)) - -(defstruct (dp-clause - (:print-function print-dp-clause) - (:copier nil)) - (number-of-unresolved-positive-literals 0 :type fixnum) - (number-of-unresolved-negative-literals 0 :type fixnum) - (positive-literals nil :type list) - (negative-literals nil :type list) - (subsumption-mark nil) - (next nil)) - -(defstruct (dp-atom - (:print-function print-dp-atom) - (:copier nil)) - name - number - (value nil) - (contained-positively-clauses nil) - (contained-negatively-clauses nil) - (derived-from-clause nil) - (used-in-refutation -1) - (next nil) - (choice-point nil) - true-triable ;used by lookahead - false-triable ;used by lookahead - (number-of-occurrences 0 :type integer) - (checkpoints nil)) - -(defvar *default-find-all-models* 1) -(defvar *default-model-test-function* nil) -(defvar *default-dependency-check* t) -(defvar *default-pure-literal-check* t) -(defvar *default-atom-choice-function* 'choose-an-atom-of-a-shortest-positive-clause) -(defvar *default-more-units-function* nil) -(defvar *default-branch-limit* nil) -(defvar *default-time-limit* nil) -(defvar *default-minimal-models-suffice* t) -(defvar *default-minimal-models-only* nil) -(defvar *default-convert-to-clauses* nil) -(defvar *default-dimacs-cnf-format* :p) -(defvar *default-subsumption* nil) -(defvar *default-print-summary* t) -(defvar *default-print-warnings* t) - -(defvar *dependency-check*) -(defvar *more-units-function*) -(defvar *minimal-models-suffice*) -(defvar *clause-set*) -(defvar *failure-branch-count* 0) -(defvar *assignment-count* 0) -(declaim (type integer *failure-branch-count* *assignment-count*)) -(defvar *dp-start-time*) - -(defun dp-satisfiable-p (clause-set - &key - (find-all-models *default-find-all-models*) - (model-test-function *default-model-test-function*) - ((:dependency-check *dependency-check*) *default-dependency-check*) - (pure-literal-check *default-pure-literal-check*) - (atom-choice-function *default-atom-choice-function*) - ((:more-units-function *more-units-function*) *default-more-units-function*) - (branch-limit *default-branch-limit*) - (time-limit *default-time-limit*) - ((:minimal-models-suffice *minimal-models-suffice*) *default-minimal-models-suffice*) - (return-propagated-clauses nil) - (minimal-models-only *default-minimal-models-only*) - (subsumption *default-subsumption*) - (print-summary *default-print-summary*) - (print-warnings *default-print-warnings*) - ((:trace dp-tracing) dp-tracing) - ((:trace-choices dp-tracing-choices) dp-tracing-choices)) - ;; Determines satisfiability of the set of clauses in clause-set. - ;; If find-all-models argument is T, dp-satisfiable-p will return - ;; a list of all models it finds in an exhaustive search; if it is NIL, T/NIL - ;; will be returned if a model is/is not found; if it is an integer N >= 1, - ;; only the first N models will be returned; if it is an integer N <= -1, - ;; models after the first -N will be searched for and counted but not - ;; returned. - ;; - ;; DP-SATISFIABLE-P ordinarily is not guaranteed to find all models but only - ;; all minimal models (and possibly some non-minimal ones). It returns - ;; only the true atoms of a model; all others are false. A model M is - ;; minimal if for no other model M' is it the case that the true atoms - ;; of M' are a proper subset of the true atoms of M. For many types of - ;; problems (e.g., quasigroup existence and N-queens problems) all models - ;; are minimal. A set of clauses with no more positive clauses is - ;; recognized to be satisfiable under the assignment of false to all - ;; unassigned atoms. - ;; - ;; If minimal-models-suffice argument is NIL, DP-SATISFIABLE-P behavior is - ;; modified to exhaustively find assignments that explicitly satisfy every - ;; clause; false assignments are represented as negative literals in - ;; the models returned. Atoms not assigned a value can be either true - ;; or false. - ;; - ;; If minimal-models-only argument is non-NIL, only minimal models - ;; will be returned. As in Bry and Yahya's MM-SATCHMO, false - ;; assignments are considered before true ones when branching - ;; and redundant models are pruned by adding negated models as - ;; clauses. Pure-literal-check will not assign true to a pure atom. - ;; - ;; If dependency-check argument is non-NIL, a form of intelligent - ;; backtracking is used. If there are only failures below the - ;; true assignment at a choice point, and the assignment was never - ;; used to generate any of the contradictions, exploration of - ;; the false assignment will be skipped, as it will fail for - ;; the same reasons. - ;; - ;; If pure-literal-check argument is non-NIL, literals that are - ;; pure in the original set of clauses will be assigned a satisfying - ;; value. There is no checking if a literal becomes pure later. - ;; - ;; If more-units-function argument is non-nil, it names a function - ;; to be executed after unit propagation. The function may - ;; detect unsatisfiability or compute more unit clauses by - ;; additional means such as 2-closure or lookahead. - (assert-unvalued-dp-clause-set-p clause-set) - (cl:assert (or (eq t find-all-models) - (eq nil find-all-models) - (and (integerp find-all-models) - (not (zerop find-all-models)))) - (find-all-models) - "find-all-models = ~A but should be t, nil, or a nonzero integer." find-all-models) -;;(cl:assert (not (and *dependency-check* *more-units-function*)) -;; (*dependency-check* *more-units-function*) -;; "Dependency-check cannot be used with more-units-function.") - (cl:assert (not (and minimal-models-only (not *minimal-models-suffice*))) - (minimal-models-only *minimal-models-suffice*) - "Minimal-models-only cannot be used without minimal-models-suffice.") - (cl:assert (not (and pure-literal-check (not *minimal-models-suffice*))) - (pure-literal-check *minimal-models-suffice*) - "Pure-literal-check cannot be used without minimal-models-suffice.") - (let* ((*print-pretty* nil) - (models nil) models-last - (branch-count 1) - (success-branch-count 0) - (*failure-branch-count* 0) - (cutoff-branch-count 0) - (report-reaching-branch-limit print-summary) - (*assignment-count* 0) - (forced-choice-count 0) - (dp-tracing-choices (if (eq t dp-tracing) t dp-tracing-choices)) - (dp-tracing-choices-depth (if (and dp-tracing-choices - (not (eq t dp-tracing-choices)) - (>= 0 dp-tracing-choices)) - 0 - 10000)) - (*clause-set* clause-set) - start-time) - (declare (type integer branch-count success-branch-count *failure-branch-count*) - (type integer cutoff-branch-count forced-choice-count)) - (macrolet - ((process-success-branch () - `(progn - (incf success-branch-count) - (when (eq t dp-tracing) - (format t "Succeed (~D/~D)~%" success-branch-count (+ success-branch-count *failure-branch-count* cutoff-branch-count))) - (when minimal-models-only - ;; add constraint to eliminate supermodel generation - (add-model-constraint clause-set)) - (cond - ((null find-all-models) - t) - ((or (eq t find-all-models) - (plusp find-all-models) - (<= success-branch-count (- find-all-models))) - (let ((model (valued-atoms clause-set *minimal-models-suffice*))) - (when dp-tracing-models - (format t "~&Model ~D = ~A " success-branch-count model)) - (cond - ((and minimal-models-only (null model)) - (cl:assert (null models)) - (list model)) - (t - (collect model models) - (if (eql find-all-models success-branch-count) - models - nil))))) - (t - nil)))) - (process-failure-branch () - `(progn - (incf *failure-branch-count*) - (when (eq t dp-tracing) - (format t "Fail (~D/~D)~%" *failure-branch-count* (+ success-branch-count *failure-branch-count* cutoff-branch-count))) - nil)) - (process-cutoff-branch () - `(progn - (incf cutoff-branch-count) - (when (eq t dp-tracing) - (format t "Cutoff (~D/~D)~%" cutoff-branch-count (+ success-branch-count *failure-branch-count* cutoff-branch-count))) - nil))) - (labels - ((dp-satisfiable-p* (depth) - (declare (fixnum depth)) - (multiple-value-bind (atom value1 value2 chosen-clause) - ;; try value1, then value2 - (funcall atom-choice-function clause-set) - (when (and minimal-models-only (eq false value2)) - ;; try false assignment first when seeking minimal-models - (setf value1 false value2 true)) - (cond - ((eq :unsatisfiable atom) - (process-failure-branch)) - ((and branch-limit - (>= branch-count branch-limit) - (or (null time-limit) - (let ((time (run-time-since start-time))) - (cond - ((>= time time-limit) - t) - (t - (setf branch-limit (max branch-limit (ceiling (* branch-count (min 100 (/ time-limit time)))))) - nil))))) - (when report-reaching-branch-limit - (format t "~&Branch limit reached.") - (print-dp-choice-points clause-set (run-time-since start-time)) - (setf dp-tracing-choices nil) - (setf report-reaching-branch-limit nil)) - (setf time-limit nil) ;done with this now - (setf *dependency-check* nil) ;treat remaining branches as failed, not cutoff - (process-failure-branch)) - ((eq :satisfiable atom) - (if (or (null model-test-function) - (progn - (when (or (eq t dp-tracing) dp-tracing-models) - (format t "Test model ")) - (funcall model-test-function (valued-atoms clause-set *minimal-models-suffice*)))) - (process-success-branch) - (process-failure-branch))) - (t - (cl:assert (null (dp-atom-value atom)) () - "Atom ~A was chosen for splitting, but it is already ~A." - atom (dp-atom-value atom)) - (let (v (cut nil)) - ;; must make a copy of chosen-clause for trace output - ;; before making truth-value assignments - (when (and dp-tracing-choices - chosen-clause - (or (eq t dp-tracing-choices) - (< depth dp-tracing-choices-depth))) - (setf chosen-clause (decode-dp-clause chosen-clause))) - (setf (dp-atom-value atom) value1) - (setf (dp-atom-next atom) nil) - (cond - ((null value2) - (incf forced-choice-count) - (when (and dp-tracing-choices - (or (eq t dp-tracing-choices) - (< depth dp-tracing-choices-depth))) - (print-dp-trace-line depth atom value1 nil t chosen-clause)) - (setf v (assign-atoms atom)) - (cond - ((eq :unsatisfiable v) - (process-failure-branch)) - (t - (prog1 (dp-satisfiable-p* depth) - (unassign-atoms v))))) - (t - (incf branch-count) - (cond - ((and dp-tracing-choices - (or (eq t dp-tracing-choices) - (< depth dp-tracing-choices-depth))) - (print-dp-trace-line depth atom value1 branch-count nil chosen-clause)) - ((and dp-tracing (eql 0 (rem branch-count dp-tracing))) - (when (and dp-tracing-state - (eql 0 (rem branch-count (* dp-tracing dp-tracing-state)))) - (princ branch-count) - (print-dp-choice-points clause-set (run-time-since start-time))) - (princ branch-count) - (princ " ") - (force-output))) - (setf v (assign-atoms atom)) - (cond - ((if (eq :unsatisfiable v) - (process-failure-branch) - (prog2 - (setf (dp-atom-choice-point atom) branch-count) - (if (not *dependency-check*) - (prog1 (dp-satisfiable-p* (+ depth 1)) - (unassign-atoms v)) - (let ((old-success-branch-count 0) - (old-failure-branch-count 0)) - (declare (type integer old-success-branch-count old-failure-branch-count)) - (setf old-success-branch-count success-branch-count) - (setf old-failure-branch-count *failure-branch-count*) - (prog1 (dp-satisfiable-p* (+ depth 1)) - (when (and *dependency-check* - (not (<= old-failure-branch-count (dp-atom-used-in-refutation atom))) - (eql old-success-branch-count success-branch-count)) - (setf cut t)) - (unassign-atoms v)))) - (setf (dp-atom-choice-point atom) nil))) - ) - (t - (cond - ((null dp-tracing-choices) - ) - ((eq t dp-tracing-choices) - (print-dp-trace-line depth atom value2 nil t nil)) - ((< depth dp-tracing-choices-depth) - (let ((n (+ depth dp-tracing-choices))) - (when (< n dp-tracing-choices-depth) - (setf dp-tracing-choices-depth n))) - (print-dp-trace-line depth atom value2 nil t nil))) - (cond - (cut - (process-cutoff-branch)) - (t - (setf (dp-atom-value atom) value2) - (setf (dp-atom-next atom) nil) - (setf v (assign-atoms atom)) - (cond - ((eq :unsatisfiable v) - (process-failure-branch)) - (t - (prog1 (dp-satisfiable-p* depth) - (unassign-atoms v)))))))))))))))) - (when print-summary - (dp-count clause-set t)) - (when subsumption - (dp-subsumption clause-set print-summary)) - (when print-summary - (format t "~%~A version ~A control settings:" dp-prover dp-version) - (format t "~% atom-choice-function = ~A" atom-choice-function) - (format t "~% more-units-function = ~A" *more-units-function*) - (format t "~% model-test-function = ~A" model-test-function) - (format t "~% dependency-check = ~A" *dependency-check*) - (format t "~% pure-literal-check = ~A" pure-literal-check) - (format t "~% find-all-models = ~A" find-all-models) - (cond - (minimal-models-only - (format t "~% minimal-models-only = ~A" minimal-models-only)) - ((not *minimal-models-suffice*) - (format t "~% minimal-models-suffice = ~A" *minimal-models-suffice*))) - (when branch-limit - (format t "~% branch-limit = ~A" branch-limit)) - (when time-limit - (format t "~% time-limit = ~A" time-limit)) - (terpri)) - (when print-warnings - (let ((neg-pure-atoms nil) neg-pure-atoms-last - (pos-pure-atoms nil) pos-pure-atoms-last) - (dolist (atom (dp-clause-set-atoms clause-set)) - (when (and (null (dp-atom-contained-positively-clauses atom)) ;atom occurs negatively only - (dp-atom-contained-negatively-clauses atom)) - (collect atom neg-pure-atoms)) - (when (and (null (dp-atom-contained-negatively-clauses atom)) ;atom occurs positively only - (dp-atom-contained-positively-clauses atom)) - (collect atom pos-pure-atoms))) - (when neg-pure-atoms - (warn "There are no positive occurrences of atom~P ~A~{, ~A~}." - (unless (rest neg-pure-atoms) 1) - (first neg-pure-atoms) - (rest neg-pure-atoms))) - (when pos-pure-atoms - (warn "There are no negative occurrences of atom~P ~A~{, ~A~}." - (unless (rest pos-pure-atoms) 1) - (first pos-pure-atoms) - (rest pos-pure-atoms))))) - (let (time initial-units (result nil) (pure-literals nil) - (positive-pure-literal-count 0) (negative-pure-literal-count 0) - (normal-exit nil)) - (declare (type integer positive-pure-literal-count negative-pure-literal-count)) - (setf (values start-time *dp-start-time*) (run-time-since 0.0)) - ;; time-limit uses branch-limit that is raised when reached - ;; until time-limit is reached - (when time-limit - (unless branch-limit - (setf branch-limit 1000))) - (when pure-literal-check - (dolist (atom (dp-clause-set-atoms clause-set)) - (unless (dp-atom-value atom) - (cond - ((and (null (dp-atom-contained-positively-clauses atom)) ;atom occurs negatively only - (dp-atom-contained-negatively-clauses atom)) - (incf negative-pure-literal-count) - (setf (dp-atom-value atom) false) - (setf (dp-atom-next atom) pure-literals) - (setf pure-literals atom)) - ((and (null (dp-atom-contained-negatively-clauses atom)) ;atom occurs positively only - (dp-atom-contained-positively-clauses atom) - (not minimal-models-only)) - (incf positive-pure-literal-count) - (setf (dp-atom-value atom) true) - (setf (dp-atom-next atom) pure-literals) - (setf pure-literals atom))))) - (when pure-literals - (setf pure-literals (assign-atoms pure-literals)))) - (unwind-protect - (progn - (cond - ((or (eq :unsatisfiable (setf initial-units (find-unit-clauses clause-set))) - (eq :unsatisfiable (setf initial-units (assign-atoms initial-units)))) - (when return-propagated-clauses - (setf return-propagated-clauses (list nil))) - (setf result (process-failure-branch))) - (t - (when return-propagated-clauses - (setf return-propagated-clauses - (nconc (mapcan (lambda (atom) (when (eq true (dp-atom-value atom)) (list (list (dp-atom-name atom))))) (dp-clause-set-atoms clause-set)) - (mapcan (lambda (atom) (when (eq false (dp-atom-value atom)) (list (list (complementary-literal (dp-atom-name atom)))))) (dp-clause-set-atoms clause-set)) - (dp-clauses nil clause-set)))) - (setf result (dp-satisfiable-p* 0)) - (unassign-atoms initial-units))) - (when pure-literals - (unassign-atoms pure-literals)) - (setf normal-exit t)) - (setf time (run-time-since start-time)) - (unless normal-exit - (when print-summary - (format t "~&Abnormal exit.") - (print-dp-choice-points clause-set time)) - (fix-dp-clause-set clause-set)) - (when print-summary - (format t "~&Found ~D success, ~D failure, ~D cutoff, ~D total branches in ~,1F seconds." - success-branch-count - *failure-branch-count* - cutoff-branch-count - (+ success-branch-count *failure-branch-count* cutoff-branch-count) - time) - #+ignore - (format t "~%~D assignment~:P." *assignment-count*) - (when (plusp positive-pure-literal-count) - (format t "~%~D atom~:P occurred purely positively in the input." positive-pure-literal-count)) - (when (plusp negative-pure-literal-count) - (format t "~%~D atom~:P occurred purely negatively in the input." negative-pure-literal-count)) - (when (plusp forced-choice-count) - (format t "~%~D choice~:P forced." forced-choice-count)))) - (values (or result models) - success-branch-count - *failure-branch-count* - cutoff-branch-count - time - *assignment-count* - positive-pure-literal-count - negative-pure-literal-count - forced-choice-count - return-propagated-clauses)))))) - -(defun dp-satisfiable-file-p (filename &rest options - &key - (convert-to-clauses *default-convert-to-clauses*) - (dimacs-cnf-format *default-dimacs-cnf-format*) - (print-summary *default-print-summary*) - (print-warnings *default-print-warnings*) - &allow-other-keys) - (apply #'dp-satisfiable-p - (dp-insert-file filename nil - :convert-to-clauses convert-to-clauses - :dimacs-cnf-format dimacs-cnf-format - :print-summary print-summary - :print-warnings print-warnings) - (do ((x options (cddr x)) - (v nil) v-last) - ((null x) - v) - (unless (member (first x) '(:convert-to-clauses :dimacs-cnf-format)) - (collect (first x) v) - (collect (second x) v))))) - -(defun dp-insert (clause clause-set &key (print-warnings *default-print-warnings*)) - (cl:assert (not (null clause)) () "Cannot insert the empty clause.") - (if clause-set - (assert-dp-clause-set-p clause-set) - (setf clause-set (make-dp-clause-set))) - (unless (eq :safe print-warnings) - (let ((v (clause-contains-repeated-atom clause))) - (cond - ((eq :tautology v) - (when print-warnings - (warn "Complementary literals in clause ~A." clause)) - (return-from dp-insert clause-set)) - (v - (when print-warnings - (warn "Duplicate literals in clause ~A." clause)) - (setf clause (delete-duplicates clause :test #'equal)))))) - (let ((cl (make-dp-clause)) - (nlits 0) - (p 0) - (n 0) - (positive-literals nil) - (negative-literals nil) - positive-literals-last - negative-literals-last) - (dolist (lit clause) - (let* ((neg (negative-literal-p lit)) - (atom0 (or neg lit)) - (atom (if (dp-atom-p atom0) atom0 (dp-atom-named atom0 clause-set :if-does-not-exist :create)))) - (checkpoint-dp-atom atom clause-set) - (incf (dp-atom-number-of-occurrences atom)) - (incf nlits) - (cond - (neg - (unless (eq true (dp-atom-value atom)) - (incf n)) - (collect atom negative-literals) - (push cl (dp-atom-contained-negatively-clauses atom))) - (t - (unless (eq false (dp-atom-value atom)) - (incf p)) - (collect atom positive-literals) - (push cl (dp-atom-contained-positively-clauses atom)))))) - (incf (dp-clause-set-number-of-clauses clause-set)) - (incf (dp-clause-set-number-of-literals clause-set) nlits) - (when positive-literals - (setf (dp-clause-number-of-unresolved-positive-literals cl) p) - (setf (dp-clause-positive-literals cl) positive-literals)) - (when negative-literals - (setf (dp-clause-number-of-unresolved-negative-literals cl) n) - (setf (dp-clause-negative-literals cl) negative-literals)) - (cond - ((null negative-literals) - (if (dp-clause-set-p-clauses clause-set) - (let ((temp (dp-clause-set-p-clauses-last clause-set))) - (setf (dp-clause-next temp) (setf (dp-clause-set-p-clauses-last clause-set) cl))) - (setf (dp-clause-set-p-clauses clause-set) (setf (dp-clause-set-p-clauses-last clause-set) cl)))) - ((null positive-literals) - (if (dp-clause-set-n-clauses clause-set) - (let ((temp (dp-clause-set-n-clauses-last clause-set))) - (setf (dp-clause-next temp) (setf (dp-clause-set-n-clauses-last clause-set) cl))) - (setf (dp-clause-set-n-clauses clause-set) (setf (dp-clause-set-n-clauses-last clause-set) cl)))) - ((null (rest positive-literals)) - (if (dp-clause-set-m1-clauses clause-set) - (let ((temp (dp-clause-set-m1-clauses-last clause-set))) - (setf (dp-clause-next temp) (setf (dp-clause-set-m1-clauses-last clause-set) cl))) - (setf (dp-clause-set-m1-clauses clause-set) (setf (dp-clause-set-m1-clauses-last clause-set) cl)))) - (t - (if (dp-clause-set-m2-clauses clause-set) - (let ((temp (dp-clause-set-m2-clauses-last clause-set))) - (setf (dp-clause-next temp) (setf (dp-clause-set-m2-clauses-last clause-set) cl))) - (setf (dp-clause-set-m2-clauses clause-set) (setf (dp-clause-set-m2-clauses-last clause-set) cl)))))) - clause-set) - -(defun dp-insert-sorted (clause clause-set &key (print-warnings *default-print-warnings*)) - ;; clauses are not required to be sorted, so unsorted clause is inserted - (dp-insert clause clause-set :print-warnings print-warnings)) - -(defun dp-insert-wff (wff clause-set &key (print-warnings *default-print-warnings*)) - ;; convert a wff to clause form and insert the clauses - (if clause-set - (assert-dp-clause-set-p clause-set) - (setf clause-set (make-dp-clause-set))) - (wff-clauses wff (lambda (clause) (dp-insert-sorted clause clause-set :print-warnings print-warnings))) - clause-set) - -(defvar *dp-read-string*) -(defvar *dp-read-index*) - -(defun dp-read (s dimacs-cnf-format print-warnings) - ;; reads a single clause if dimacs-cnf-format = nil - ;; reads a single literal if dimacs-cnf-format = t - (loop - (cond - (dimacs-cnf-format - (multiple-value-bind (x i) - (read-from-string *dp-read-string* nil :eof :start *dp-read-index*) - (cond - ((eq :eof x) - (if (eq :eof (setf *dp-read-string* (read-line s nil :eof))) - (return :eof) - (setf *dp-read-index* 0))) - ((integerp x) - (setf *dp-read-index* i) - (return x)) - ((eql 0 *dp-read-index*) ;ignore DIMACS problem/comment line - (when print-warnings - (warn "Skipping line ~A" *dp-read-string*)) - (if (eq :eof (setf *dp-read-string* (read-line s nil :eof))) - (return :eof) - (setf *dp-read-index* 0))) - (t - (when print-warnings - (warn "Skipping noninteger ~A" x)) - (setf *dp-read-index* i))))) - (t - (let ((x (read s nil :eof))) - (cond - ((or (eq :eof x) (consp x)) - (return x)) ;no syntax checking - (print-warnings - (warn "Skipping nonclause ~A" x)))))))) - -(defun dp-insert-file (filename clause-set - &key - (convert-to-clauses *default-convert-to-clauses*) - (dimacs-cnf-format *default-dimacs-cnf-format*) - (print-summary *default-print-summary*) - (print-warnings *default-print-warnings*)) - (let ((start-time (run-time-since 0.0)) (nclauses 0) (nlits 0)) - (declare (type integer nclauses nlits)) - (if clause-set - (assert-dp-clause-set-p clause-set) - (setf clause-set (make-dp-clause-set))) - (when print-summary - (format t "~2%Problem from file ~A:" filename)) - (with-open-file (s filename :direction :input) - (cond - (dimacs-cnf-format - (let ((*dp-read-string* "") (*dp-read-index* 0) (lits nil)) - (loop - (let ((x (dp-read s t print-warnings))) - (cond - ((eq :eof x) - (return)) - ((eql 0 x) - (when lits - (incf nclauses) - (incf nlits (length lits)) - (dp-insert-sorted (nreverse lits) clause-set :print-warnings print-warnings) - (setf lits nil))) - (t - (push x lits))))) - (when lits - (setf lits (nreverse lits)) - (when print-warnings - (warn "Last clause ~A in file not followed by 0." lits)) - (incf nclauses) - (incf nlits (length lits)) - (dp-insert-sorted lits clause-set :print-warnings print-warnings)))) - (t - (loop - (let ((x (dp-read s nil print-warnings))) - (cond - ((eq :eof x) - (return)) - (convert-to-clauses - (dp-insert-wff x clause-set :print-warnings print-warnings)) ;nclauses, nlits not incremented as they should be - (t - (incf nclauses) - (incf nlits (length x)) - (dp-insert-sorted x clause-set :print-warnings print-warnings)))))))) - (when print-summary - (format t "~&Input from file ~D clauses with ~D literals in ~,1F seconds." - nclauses - nlits - (run-time-since start-time))) - clause-set)) - -(defmacro clause-contains-true-positive-literal (clause) - (let ((atom (gensym))) - `(dolist (,atom (dp-clause-positive-literals ,clause) nil) - (when (eq true (dp-atom-value ,atom)) - (return t))))) - -(defmacro clause-contains-true-negative-literal (clause) - (let ((atom (gensym))) - `(dolist (,atom (dp-clause-negative-literals ,clause)) - (when (eq false (dp-atom-value ,atom)) - (return t))))) - -(defun dp-horn-clause-set-p (clause-set) - ;; never more than one positive literal in a clause - ;; (unless the clause is true in the current truth assignment) - (and (do ((clause (dp-clause-set-p-clauses clause-set) (dp-clause-next clause))) - ((null clause) - t) - (when (and (< 1 (dp-clause-number-of-unresolved-positive-literals clause)) - (not (clause-contains-true-positive-literal clause))) - (return nil))) - (do ((clause (dp-clause-set-m2-clauses clause-set) (dp-clause-next clause))) - ((null clause) - t) - (when (and (< 1 (dp-clause-number-of-unresolved-positive-literals clause)) - (not (clause-contains-true-positive-literal clause)) - (not (clause-contains-true-negative-literal clause))) - (return nil))))) - -(defun dp-count (clause-set &optional print-p) - ;; (dp-count clause-set) returns and optionally prints the - ;; clause and literal count of clauses stored in clause-set - (let ((nclauses 0) (nliterals 0) (natoms 0) (assigned nil)) - (when clause-set - (dolist (atom (dp-clause-set-atoms clause-set)) - (when (or (dp-atom-contained-positively-clauses atom) ;atom appears in clause-set - (dp-atom-contained-negatively-clauses atom)) - (if (dp-atom-value atom) - (setf assigned t) - (incf natoms)))) - (cond - ((not assigned) - (setf nclauses (dp-clause-set-number-of-clauses clause-set)) - (setf nliterals (dp-clause-set-number-of-literals clause-set))) - (t - (do ((clause (dp-clause-set-p-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (clause-contains-true-positive-literal clause) - (incf nclauses) - (incf nliterals (dp-clause-number-of-unresolved-positive-literals clause)))) - (do ((clause (dp-clause-set-n-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (clause-contains-true-negative-literal clause) - (incf nclauses) - (incf nliterals (dp-clause-number-of-unresolved-negative-literals clause)))) - (do ((clause (dp-clause-set-m1-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (or (clause-contains-true-positive-literal clause) - (clause-contains-true-negative-literal clause)) - (incf nclauses) - (incf nliterals (dp-clause-number-of-unresolved-positive-literals clause)) - (incf nliterals (dp-clause-number-of-unresolved-negative-literals clause)))) - (do ((clause (dp-clause-set-m2-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (or (clause-contains-true-positive-literal clause) - (clause-contains-true-negative-literal clause)) - (incf nclauses) - (incf nliterals (dp-clause-number-of-unresolved-positive-literals clause)) - (incf nliterals (dp-clause-number-of-unresolved-negative-literals clause))))))) - (when print-p - (format t "~&Clause set contains ~D clauses with ~D literals formed from ~D atoms~A." - nclauses nliterals natoms (if (stringp print-p) print-p ""))) - (values nclauses nliterals natoms))) - -(defun dp-clauses (map-fun clause-set &optional decode-fun) - ;; either return or apply map-fun to all clauses in clause-set - (when clause-set - (cond - (map-fun - (do ((clause (dp-clause-set-p-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (clause-contains-true-positive-literal clause) - (funcall map-fun (decode-dp-clause clause decode-fun)))) - (do ((clause (dp-clause-set-n-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (clause-contains-true-negative-literal clause) - (funcall map-fun (decode-dp-clause clause decode-fun)))) - (do ((clause (dp-clause-set-m1-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (or (clause-contains-true-positive-literal clause) - (clause-contains-true-negative-literal clause)) - (funcall map-fun (decode-dp-clause clause decode-fun)))) - (do ((clause (dp-clause-set-m2-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (or (clause-contains-true-positive-literal clause) - (clause-contains-true-negative-literal clause)) - (funcall map-fun (decode-dp-clause clause decode-fun))))) - (t - (let ((result nil) result-last) - (do ((clause (dp-clause-set-p-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (clause-contains-true-positive-literal clause) - (collect (decode-dp-clause clause decode-fun) result))) - (do ((clause (dp-clause-set-n-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (clause-contains-true-negative-literal clause) - (collect (decode-dp-clause clause decode-fun) result))) - (do ((clause (dp-clause-set-m1-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (or (clause-contains-true-positive-literal clause) - (clause-contains-true-negative-literal clause)) - (collect (decode-dp-clause clause decode-fun) result))) - (do ((clause (dp-clause-set-m2-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (unless (or (clause-contains-true-positive-literal clause) - (clause-contains-true-negative-literal clause)) - (collect (decode-dp-clause clause decode-fun) result))) - result))))) - -(defun dp-output-clauses-to-file (filename clause-set &key (dimacs-cnf-format *default-dimacs-cnf-format*)) - ;; write clauses in clause-set to a file - (with-open-file (s filename :direction :output :if-exists :new-version) - (cond - (dimacs-cnf-format - (when (eq :p dimacs-cnf-format) - (format s "p cnf ~D ~D~%" (dp-clause-set-number-of-atoms clause-set) (dp-count clause-set))) - (dp-clauses (lambda (clause) - (dolist (lit clause) - (princ lit s) - (princ " " s)) - (princ 0 s) - (terpri s)) - clause-set - (if (dolist (atom (dp-clause-set-atoms clause-set) t) - (unless (and (integerp (dp-atom-name atom)) - (plusp (dp-atom-name atom))) - (return nil))) - nil - #'dp-atom-number))) - (t - (dp-clauses (lambda (clause) (prin1 clause s) (terpri s)) clause-set)))) - nil) - -(defun assert-dp-clause-set-p (clause-set) - (cl:assert (dp-clause-set-p clause-set) () "~S is not a dp-clause-set." clause-set)) - -(defun assert-unvalued-dp-clause-set-p (clause-set) - (assert-dp-clause-set-p clause-set) - (cl:assert (dolist (atom (dp-clause-set-atoms clause-set) t) - (when (dp-atom-value atom) - (return nil))))) - -(defun add-model-constraint (clause-set) - ;; for nonredundant generation of minimal models, - ;; add clause of negations of atoms true in model - (let ((cl (make-dp-clause)) - (nlits 0) - (negative-literals nil) - negative-literals-last) - (dolist (atom (dp-clause-set-atoms clause-set)) - (when (eq true (dp-atom-value atom)) - (checkpoint-dp-atom atom clause-set) - (incf (dp-atom-number-of-occurrences atom)) - (incf nlits) - (collect atom negative-literals) - (push cl (dp-atom-contained-negatively-clauses atom)))) - (when negative-literals - (incf (dp-clause-set-number-of-clauses clause-set)) - (incf (dp-clause-set-number-of-literals clause-set) nlits) - (setf (dp-clause-negative-literals cl) negative-literals) - (if (dp-clause-set-n-clauses clause-set) - (let ((temp (dp-clause-set-n-clauses-last clause-set))) - (setf (dp-clause-next temp) - (setf (dp-clause-set-n-clauses-last clause-set) cl))) - (setf (dp-clause-set-n-clauses clause-set) - (setf (dp-clause-set-n-clauses-last clause-set) cl)))))) - -(defun valued-atoms (clause-set &optional only-true-atoms) - (let ((result nil) result-last) - (dolist (atom (dp-clause-set-atoms clause-set)) - (let ((value (dp-atom-value atom))) - (when (and (if only-true-atoms (eq true value) value) - (or (dp-atom-contained-positively-clauses atom) ;atom appears in clause-set - (dp-atom-contained-negatively-clauses atom))) - (collect (if (eq true value) - (dp-atom-name atom) - (complementary-literal (dp-atom-name atom))) - result)))) - result)) - -(defun dp-atom-named (x clause-set &key (if-does-not-exist :error)) - (cl:assert (and (not (null x)) (not (eql 0 x))) () "~A cannot be used as an atomic formula." x) - (let ((table (dp-clause-set-atom-hash-table clause-set))) - (or (gethash x table) - (ecase if-does-not-exist - (:create - (let ((atom (make-dp-atom - :name x - :number (cond - ((integerp x) - (incf (dp-clause-set-number-of-atoms clause-set)) - (cl:assert (null (gethash x (dp-clause-set-number-to-atom-hash-table clause-set))) () - "Atom named ~A cannot be atom number ~A." x x) - x) - (t - (incf (dp-clause-set-number-of-atoms clause-set))))))) - (collect atom (dp-clause-set-atoms clause-set)) - (setf (gethash (dp-atom-number atom) (dp-clause-set-number-to-atom-hash-table clause-set)) atom) - (setf (gethash x table) atom))) - (:error - (error "Unknown atom ~A." x)) - ((nil) - nil))))) - -(defun negative-literal-p (lit) - ;; if 'lit' is a negative literal, return its atom - ;; if 'lit' is a positive literal, return 'nil' - (cond - ((numberp lit) ;positive number is atomic formula - (and (minusp lit) (- lit))) ;negative number is its negation - ((consp lit) - (and (eq 'not (first lit)) (second lit))) ;(not x) is negation of atomic formula x - (t - nil))) ;everything else is an atomic formula - -(defun complementary-literal (lit) - (cond - ((numberp lit) - (- lit)) - ((and (consp lit) (eq 'not (first lit))) - (second lit)) - (t - (list 'not lit)))) - -(defun clause-contains-repeated-atom (clause) - (do* ((dup nil) - (lits clause (rest lits)) - (lit (first lits) (first lits)) - (clit (complementary-literal lit) (complementary-literal lit))) - ((null (rest lits)) - dup) - (dolist (lit2 (rest lits)) - (cond - ((equal lit lit2) - (setf dup t)) - ((equal clit lit2) - (return-from clause-contains-repeated-atom :tautology)))))) - -(defun print-dp-clause-set3 (clause-set &optional (stream *standard-output*) depth) - (declare (ignore depth)) - (print-unreadable-object (clause-set stream :type t :identity t) - (princ (dp-clause-set-number-of-atoms clause-set) stream) - (princ " atoms " stream) - (princ (dp-clause-set-number-of-clauses clause-set) stream) - (princ " clauses" stream))) - -(defun decode-dp-clause (clause &optional decode-fun) - (let ((result nil) result-last) - (dolist (atom (dp-clause-negative-literals clause)) - (unless (dp-atom-value atom) - (collect (complementary-literal - (if decode-fun - (funcall decode-fun atom) - (dp-atom-name atom))) - result))) - (dolist (atom (dp-clause-positive-literals clause)) - (unless (dp-atom-value atom) - (collect (if decode-fun - (funcall decode-fun atom) - (dp-atom-name atom)) - result))) - result)) - -(defun print-dp-clause (clause &optional stream depth) - (declare (ignore depth)) - (prin1 (decode-dp-clause clause) stream) - clause) - -(defun print-dp-atom (atom &optional stream depth) - (declare (ignore depth)) - (prin1 (dp-atom-name atom) stream) - atom) - -(defun print-dp-trace-line (depth atom value branch-count xp chosen-clause) - (format t "~&~12A" (or branch-count "")) - (dotimes (i depth) - (princ (if (eql 4 (rem i 5)) "| " ": "))) - (princ (dp-atom-name atom)) - (princ (if (eq true value) "=true" "=false")) - (princ (if xp "! " " ")) - (when chosen-clause - (princ "for clause ") - (princ chosen-clause) - (princ " "))) - -(defun print-dp-choice-points (clause-set time) - (let ((atoms nil)) - (dolist (atom (dp-clause-set-atoms clause-set)) - (when (dp-atom-choice-point atom) - (push atom atoms))) - (cond - ((null atoms) - (format t "~2&--- no current choice points ")) - (t - (format t "~2&--- ~D current choice point~:P:" (length atoms)) - (let ((depth 0)) - (dolist (atom (sort atoms #'< :key #'dp-atom-choice-point)) - (print-dp-trace-line depth atom (dp-atom-value atom) (dp-atom-choice-point atom) nil nil) - (incf depth))))) - (format t "~%--- after ~,1F seconds " time))) - -(defvar float-internal-time-units-per-second (float internal-time-units-per-second)) - -(defun run-time-since (start-time) - (let ((ticks (get-internal-run-time))) - (values (- (/ ticks float-internal-time-units-per-second) start-time) ticks))) - -(defmacro first-nontrue-atom (atoms) - `(dolist (atom ,atoms) - (unless (eq true (dp-atom-value atom)) - (return atom)))) - -(defmacro first-nonfalse-atom (atoms) - `(dolist (atom ,atoms) - (unless (eq false (dp-atom-value atom)) - (return atom)))) - -(defmacro first-unassigned-atom (atoms) - `(dolist (atom ,atoms) - (unless (dp-atom-value atom) - (return atom)))) - -(defmacro nth-unassigned-atom (n atoms) - `(let ((k ,n)) - (dolist (atom ,atoms) - (unless (dp-atom-value atom) - (if (eql 0 k) (return atom) (decf k)))))) - -(defun mark-used-atoms (clause) - (let ((mark *failure-branch-count*)) - (labels - ((mark-used-atoms (clause) - (let (c) - (dolist (atom (dp-clause-positive-literals clause)) - (unless (eql mark (dp-atom-used-in-refutation atom)) - (setf (dp-atom-used-in-refutation atom) mark) - (when (setf c (dp-atom-derived-from-clause atom)) - (mark-used-atoms c)))) - (dolist (atom (dp-clause-negative-literals clause)) - (unless (eql mark (dp-atom-used-in-refutation atom)) - (setf (dp-atom-used-in-refutation atom) mark) - (when (setf c (dp-atom-derived-from-clause atom)) - (mark-used-atoms c))))))) - (mark-used-atoms clause) - (make-lemma mark nil)))) - -(defun make-lemma (fbc exclude-atom) - ;; incomplete - (flet ((lemma-atoms () - (let ((result nil) result-last) - (dolist (atom (dp-clause-set-atoms *clause-set*)) - (let ((value (dp-atom-value atom))) - (when (and value - (or (dp-atom-contained-positively-clauses atom) ;atom appears in clause-set - (dp-atom-contained-negatively-clauses atom)) - ;;(dp-atom-choice-point atom) - (not (eq exclude-atom atom)) - (not (dp-atom-derived-from-clause atom)) - (<= fbc (dp-atom-used-in-refutation atom))) - (collect (if (eq true value) - (complementary-literal (dp-atom-name atom)) - (dp-atom-name atom)) - result)))) - result))) - (when (eq t dp-tracing) - (format t "Lemma ~A " (lemma-atoms))))) - -(defvar *last-tried-atom*) - -(defun assign-atoms (assignments) - ;; apply assigments and do all resulting unit propagation - ;; if result is unsatisfiable, undo all changes and return :unsatisfiable - ;; otherwise return list of assignments made; unassign-atoms can undo - ;; the assignments - (let ((compute-more-units *more-units-function*)) - (macrolet - ((undo-assignments-and-exit (&optional no-assignments-for-this-atom) - `(progn - ,@(unless no-assignments-for-this-atom - (list `(unassign-atom atom clause))) - (unassign-atoms assignments-done) - (if *dependency-check* - (do ((a assignments (dp-atom-next a))) - ((null a)) - (setf (dp-atom-value a) nil) - (setf (dp-atom-derived-from-clause a) nil)) - (do ((a assignments (dp-atom-next a))) - ((null a)) - (setf (dp-atom-value a) nil))) - #+ignore - (incf *assignment-count* assignment-count) - (return-from assign-atoms :unsatisfiable))) - (new-unit-clause (val) - (cl:assert (or (eq 'true val) (eq 'false val))) - `(let ((at ,(if (eq 'true val) - `(first-nonfalse-atom (dp-clause-positive-literals clause)) - `(first-nontrue-atom (dp-clause-negative-literals clause))))) - (cond - ((null at) - (when *dependency-check* - (mark-used-atoms clause)) - (undo-assignments-and-exit)) - ((null (dp-atom-value at)) - (setf compute-more-units *more-units-function*) - (setf (dp-atom-value at) ,val) - (when *dependency-check* - (setf (dp-atom-derived-from-clause at) clause)) - ,@(if (eq 'true val) ;true assignments at front, false at end - `((setf (dp-atom-next at) assignments) - (when (null assignments) - (setf last-assignment at)) - (setf assignments at)) - `((setf (dp-atom-next at) nil) - (if (null assignments) - (setf assignments at) - (setf (dp-atom-next last-assignment) at)) - (setf last-assignment at))))))) - (resolve (val) - (cl:assert (or (eq 'true val) (eq 'false val))) - `(dolist (clause ,(if (eq 'true val) - `(dp-atom-contained-negatively-clauses atom) - `(dp-atom-contained-positively-clauses atom))) - (cond - ((eql 0 - (setf k1 (decf ,(if (eq 'true val) - `(dp-clause-number-of-unresolved-negative-literals clause) - `(dp-clause-number-of-unresolved-positive-literals clause))))) - (cond - ((eql 0 - (setf k2 ,(if (eq 'true val) - `(dp-clause-number-of-unresolved-positive-literals clause) - `(dp-clause-number-of-unresolved-negative-literals clause)))) - (when *dependency-check* - (mark-used-atoms clause)) - (undo-assignments-and-exit)) - ((eql 1 k2) - (new-unit-clause ,val)))) - ((and (eql 1 k1) - (eql 0 - ,(if (eq 'true val) - `(dp-clause-number-of-unresolved-positive-literals clause) - `(dp-clause-number-of-unresolved-negative-literals clause)))) - (new-unit-clause ,(if (eq 'true val) 'false 'true))))))) - (let ((k1 0) (k2 0) #+ignore (assignment-count 0) (assignments-done nil) - (*last-tried-atom* nil) ;used by lookahead - atom value last-assignment) - (declare (fixnum k1 k2 #+ignore assignment-count)) - (loop - (when assignments ;find last assignment - (do ((a assignments next) - (next (dp-atom-next assignments) (dp-atom-next next))) - ((null next) - (setf last-assignment a)))) - (loop - (when (null assignments) - (return)) - (setf atom assignments) - (setf assignments (dp-atom-next atom)) - (setf value (dp-atom-value atom)) - #+ignore - (incf assignment-count) - (if (eq true value) (resolve true) (resolve false)) - (setf (dp-atom-next atom) assignments-done) - (setf assignments-done atom)) - (cond ;find more assignments? - ((and compute-more-units - (multiple-value-bind (result call-again) - (funcall compute-more-units *clause-set*) - (cond - ((eq :unsatisfiable result) - (undo-assignments-and-exit t)) - (t - (unless call-again - (setf compute-more-units nil)) - (setf assignments result))))) - ) ;make the new assignments - (t - (return)))) ;no more assignments - #+ignore - (incf *assignment-count* assignment-count) - assignments-done)))) - -(defun unassign-atom (atom stop-clause) - (when *dependency-check* - (setf (dp-atom-derived-from-clause atom) nil)) - (if (eq true (dp-atom-value atom)) - (dolist (clause (dp-atom-contained-negatively-clauses atom)) - (incf (dp-clause-number-of-unresolved-negative-literals clause)) - (when (eq stop-clause clause) - (return))) - (dolist (clause (dp-atom-contained-positively-clauses atom)) - (incf (dp-clause-number-of-unresolved-positive-literals clause)) - (when (eq stop-clause clause) - (return)))) - (setf (dp-atom-value atom) nil)) - -(defun unassign-atoms (assignments) - (do ((atom assignments (dp-atom-next atom))) - ((null atom)) - (when *dependency-check* - (setf (dp-atom-derived-from-clause atom) nil)) - (if (eq true (dp-atom-value atom)) - (dolist (clause (dp-atom-contained-negatively-clauses atom)) - (incf (dp-clause-number-of-unresolved-negative-literals clause))) - (dolist (clause (dp-atom-contained-positively-clauses atom)) - (incf (dp-clause-number-of-unresolved-positive-literals clause)))) - (setf (dp-atom-value atom) nil))) - -(defun find-unit-clauses (clause-set) - ;; this is only used to find unit clauses in the initial set of clauses, - ;; assign-atoms detects and simplifies by derived unit clauses - (let ((assignments nil)) - (macrolet - ((add-assignment (atom value) - (cl:assert (or (eq 'true value) (eq 'false value))) - `(let ((atom ,atom)) - (cond - ((null atom) - (do ((a assignments (dp-atom-next a))) - ((null a)) - (setf (dp-atom-value a) nil) - (setf (dp-atom-derived-from-clause a) nil)) - (return-from find-unit-clauses :unsatisfiable)) - ((null (dp-atom-value atom)) - (setf (dp-atom-value atom) ,value) - (setf (dp-atom-derived-from-clause atom) clause) - (setf (dp-atom-next atom) assignments) - (setf assignments atom)))))) - (do ((clause (dp-clause-set-p-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (when (eql 1 (dp-clause-number-of-unresolved-positive-literals clause)) - (add-assignment (first-nonfalse-atom (dp-clause-positive-literals clause)) true))) - (do ((clause (dp-clause-set-n-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (when (eql 1 (dp-clause-number-of-unresolved-negative-literals clause)) - (add-assignment (first-nontrue-atom (dp-clause-negative-literals clause)) false)))) - assignments)) - -(defun choose-an-atom-of-a-shortest-clause* (clause-set positive option randomly) - ;; assume every clause has at least two literals - ;; return :satisfiable if there are no more (positive) clauses - (let ((shortest-length 10000) (length 0) (chosen-clause nil) - (chosen-atom nil) (nfound 0) (noccurrences 0)) - (declare (fixnum shortest-length length)) - (macrolet - ((check-clause () - `(progn - (setf length (if positive - (dp-clause-number-of-unresolved-positive-literals clause) - (+ (dp-clause-number-of-unresolved-positive-literals clause) - (dp-clause-number-of-unresolved-negative-literals clause)))) - (when (and (if (and (eq :none option) (not randomly)) - (> shortest-length length 1) - (>= shortest-length length 2)) - (not (clause-contains-true-positive-literal clause)) - (or positive (not (clause-contains-true-negative-literal clause)))) - (ecase option - (:none - (if randomly - (cond - ((eql length shortest-length) - (when (eql 0 (random (incf nfound))) - (setf chosen-clause clause))) - (t - (setf chosen-clause clause) - (setf shortest-length length) - (setf nfound 1))) - (cond - ((eql 2 length) - (return-from choose-an-atom-of-a-shortest-clause* - (cond - ((setf chosen-atom (first-unassigned-atom (dp-clause-positive-literals clause))) - (values chosen-atom true false clause)) - (t - (setf chosen-atom (first-unassigned-atom (dp-clause-negative-literals clause))) - (values chosen-atom false true clause))))) - (t - (setf chosen-clause clause) - (setf shortest-length length))))) - (:with-most-occurrences - (unless (eql length shortest-length) - (setf shortest-length length) - (setf noccurrences 0)) - (dolist (atom (dp-clause-positive-literals clause)) - (when (null (dp-atom-value atom)) - (let ((c (dp-atom-number-of-occurrences atom))) - (cond - ((and randomly (eql c noccurrences)) - (when (eql 0 (random (incf nfound))) - (setf chosen-clause clause) - (setf chosen-atom atom))) - ((> c noccurrences) - (setf chosen-clause clause) - (setf chosen-atom atom) - (setf noccurrences c) - (setf nfound 1)))))) - (unless positive - (dolist (atom (dp-clause-negative-literals clause)) - (when (null (dp-atom-value atom)) - (let ((c (dp-atom-number-of-occurrences atom))) - (cond - ((and randomly (eql c noccurrences)) - (when (eql 0 (random (incf nfound))) - (setf chosen-clause clause) - (setf chosen-atom atom))) - ((> c noccurrences) - (setf chosen-clause clause) - (setf chosen-atom atom) - (setf noccurrences c) - (setf nfound 1))))))))))))) - (do ((clause (dp-clause-set-p-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (check-clause)) - (do ((clause (dp-clause-set-m2-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (when (or (not positive) (eql 0 (dp-clause-number-of-unresolved-negative-literals clause))) - (check-clause))) - (unless positive - (do ((clause (dp-clause-set-m1-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (check-clause)) - (do ((clause (dp-clause-set-n-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (check-clause))) - (cond - (chosen-clause - (case option - (:none - (if randomly - (let ((n (random shortest-length))) - (if positive - (values (nth-unassigned-atom - n (dp-clause-positive-literals chosen-clause)) - true false chosen-clause) - (let ((m (dp-clause-number-of-unresolved-positive-literals chosen-clause))) - (if (< n m) - (values (nth-unassigned-atom - n (dp-clause-positive-literals chosen-clause)) - true false chosen-clause) - (values (nth-unassigned-atom - (- n m) (dp-clause-negative-literals chosen-clause)) - false true chosen-clause))))) - (cond - ((setf chosen-atom (first-unassigned-atom - (dp-clause-positive-literals chosen-clause))) - (values chosen-atom true false chosen-clause)) - (t - (setf chosen-atom (first-unassigned-atom - (dp-clause-negative-literals chosen-clause))) - (values chosen-atom false true chosen-clause))))) - (:with-most-occurrences - (if (or positive - (member chosen-atom - (dp-clause-positive-literals chosen-clause))) - (values chosen-atom true false chosen-clause) - (values chosen-atom false true chosen-clause))))) - ((and positive (not *minimal-models-suffice*)) - (choose-an-atom-of-a-shortest-clause* clause-set nil option randomly)) - (t - :satisfiable))))) - -(defun choose-an-atom-of-a-shortest-clause (clause-set) - (choose-an-atom-of-a-shortest-clause* clause-set nil :none nil)) - -(defun choose-an-atom-of-a-shortest-clause-randomly (clause-set) - (choose-an-atom-of-a-shortest-clause* clause-set nil :none t)) - -(defun choose-an-atom-of-a-shortest-clause-with-most-occurrences (clause-set) - (choose-an-atom-of-a-shortest-clause* clause-set nil :with-most-occurrences nil)) - -(defun choose-an-atom-of-a-shortest-clause-with-most-occurrences-randomly (clause-set) - (choose-an-atom-of-a-shortest-clause* clause-set nil :with-most-occurrences t)) - -(defun choose-an-atom-of-a-shortest-positive-clause (clause-set) - (choose-an-atom-of-a-shortest-clause* clause-set t :none nil)) - -(defun choose-an-atom-of-a-shortest-positive-clause-randomly (clause-set) - (choose-an-atom-of-a-shortest-clause* clause-set t :none t)) - -(defun choose-an-atom-of-a-shortest-positive-clause-with-most-occurrences (clause-set) - (choose-an-atom-of-a-shortest-clause* clause-set t :with-most-occurrences nil)) - -(defun choose-an-atom-of-a-shortest-positive-clause-with-most-occurrences-randomly (clause-set) - (choose-an-atom-of-a-shortest-clause* clause-set t :with-most-occurrences t)) - -(defun fix-dp-clause-set (clause-set) - ;; restores a clause-set to its original state if the user aborts out of dp-satisfiable-p - (assert-dp-clause-set-p clause-set) - (dolist (atom (dp-clause-set-atoms clause-set)) - (setf (dp-atom-value atom) nil) - (setf (dp-atom-derived-from-clause atom) nil) - (setf (dp-atom-choice-point atom) nil)) - (do ((clause (dp-clause-set-p-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (setf (dp-clause-number-of-unresolved-positive-literals clause) - (length (dp-clause-positive-literals clause)))) - (do ((clause (dp-clause-set-n-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (setf (dp-clause-number-of-unresolved-negative-literals clause) - (length (dp-clause-negative-literals clause)))) - (do ((clause (dp-clause-set-m1-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (setf (dp-clause-number-of-unresolved-positive-literals clause) 1) - (setf (dp-clause-number-of-unresolved-negative-literals clause) - (length (dp-clause-negative-literals clause)))) - (do ((clause (dp-clause-set-m2-clauses clause-set) (dp-clause-next clause))) - ((null clause)) - (setf (dp-clause-number-of-unresolved-positive-literals clause) - (length (dp-clause-positive-literals clause))) - (setf (dp-clause-number-of-unresolved-negative-literals clause) - (length (dp-clause-negative-literals clause)))) - nil) - -(defun checkpoint-dp-clause-set (clause-set) - ;; creates a checkpoint record for clause-set to allow later clause insertions to be undone - ;; and returns the level of the new checkpoint - (assert-dp-clause-set-p clause-set) - (push (list nil ;checkpointed atoms - (dp-clause-set-number-of-clauses clause-set) - (dp-clause-set-number-of-literals clause-set) - (dp-clause-set-p-clauses-last clause-set) - (dp-clause-set-n-clauses-last clause-set) - (dp-clause-set-m1-clauses-last clause-set) - (dp-clause-set-m2-clauses-last clause-set)) - (dp-clause-set-checkpoints clause-set)) - (incf (dp-clause-set-checkpoint-level clause-set))) - -(defun restore-dp-clause-set (clause-set) - ;; restores a clause-set to an earlier state undoing effects of clause insertions - (assert-dp-clause-set-p clause-set) - (cl:assert (not (eql 0 (dp-clause-set-checkpoint-level clause-set))) () - "Clause set has no checkpoint.") - (let ((l (first (dp-clause-set-checkpoints clause-set)))) - (dolist (atom (prog1 (first l) (setf (first l) nil) (setf l (rest l)))) - (restore-dp-atom atom)) - (setf (dp-clause-set-number-of-clauses clause-set) (pop l)) - (setf (dp-clause-set-number-of-literals clause-set) (pop l)) - (let ((v (pop l))) - (cond - (v - (setf (dp-clause-set-p-clauses-last clause-set) v) - (setf (dp-clause-next v) nil)) - (t - (setf (dp-clause-set-p-clauses clause-set) nil) - (setf (dp-clause-set-p-clauses-last clause-set) nil)))) - (let ((v (pop l))) - (cond - (v - (setf (dp-clause-set-n-clauses-last clause-set) v) - (setf (dp-clause-next v) nil)) - (t - (setf (dp-clause-set-n-clauses clause-set) nil) - (setf (dp-clause-set-n-clauses-last clause-set) nil)))) - (let ((v (pop l))) - (cond - (v - (setf (dp-clause-set-m1-clauses-last clause-set) v) - (setf (dp-clause-next v) nil)) - (t - (setf (dp-clause-set-m1-clauses clause-set) nil) - (setf (dp-clause-set-m1-clauses-last clause-set) nil)))) - (let ((v (first l))) - (cond - (v - (setf (dp-clause-set-m2-clauses-last clause-set) v) - (setf (dp-clause-next v) nil)) - (t - (setf (dp-clause-set-m2-clauses clause-set) nil) - (setf (dp-clause-set-m2-clauses-last clause-set) nil))))) - nil) - -(defun uncheckpoint-dp-clause-set (clause-set) - ;; removes most recent checkpoint record - ;; and returns the level of the removed checkpoint - (assert-dp-clause-set-p clause-set) - (let ((level (dp-clause-set-checkpoint-level clause-set))) - (cl:assert (not (eql 0 level)) () - "Clause set has no checkpoint.") - (let* ((level2 (- level 1)) - (checkpoint2 (dp-clause-set-checkpoints clause-set)) - (checkpoint (first checkpoint2))) - (setf checkpoint2 (first (setf (dp-clause-set-checkpoints clause-set) (rest checkpoint2)))) - (dolist (atom (first checkpoint)) - (let ((acps (dp-atom-checkpoints atom))) - (cond - ((null checkpoint2) - (setf (dp-atom-checkpoints atom) nil)) - ((eql level2 (first (second acps))) - (setf (dp-atom-checkpoints atom) (rest acps))) - (t - (push atom (first checkpoint2)) - (setf (first (first acps)) level2))))) - (setf (dp-clause-set-checkpoint-level clause-set) level2)) - level)) - -(defun checkpoint-dp-atom (atom clause-set) - (let ((level (dp-clause-set-checkpoint-level clause-set))) - (unless (eql 0 level) - (let ((checkpoints (dp-atom-checkpoints atom))) - (unless (eql level (first (first checkpoints))) ;already checkpointed - (push atom (first (first (dp-clause-set-checkpoints clause-set)))) - (setf (dp-atom-checkpoints atom) - (cons (list level - (dp-atom-contained-positively-clauses atom) - (dp-atom-contained-negatively-clauses atom) - (dp-atom-number-of-occurrences atom)) - checkpoints))))))) - -(defun restore-dp-atom (atom) - (let ((l (rest (pop (dp-atom-checkpoints atom))))) - (setf (dp-atom-contained-positively-clauses atom) (pop l)) - (setf (dp-atom-contained-negatively-clauses atom) (pop l)) - (setf (dp-atom-number-of-occurrences atom) (first l)))) - -;;; lookahead-true, lookahead-false, -;;; lookahead-true-false, lookahead-false-true -;;; can be used as more-units-function argument to dp-satisfiable-p -;;; in LDPP' to constrain search by lookahead -;;; -;;; they make trial assignments of truth values to each atom; -;;; if unit propagation demonstrates that the assignment yields an -;;; unsatisfiable set of clauses, the opposite truth value is assigned - -(defvar *verbose-lookahead* nil) -(defvar *verbose-lookahead-show-count* nil) - -(defun lookahead-true (clause-set) - ;; lookahead with true trial assignments - (lookahead* clause-set true *verbose-lookahead*)) - -(defun lookahead-false (clause-set) - ;; lookahead with false trial assignments - (lookahead* clause-set false *verbose-lookahead*)) - -(defun lookahead-true-false (clause-set) - ;; lookahead with true trial assignments, - ;; then lookahead with false trial assignments - (lookahead* clause-set :true-false *verbose-lookahead*)) - -(defun lookahead-false-true (clause-set) - ;; lookahead with false trial assignments, - ;; then lookahead with true trial assignments - (lookahead* clause-set :false-true *verbose-lookahead*)) - -(defvar values-and-passes1 (list (cons true :after-last-tried-atom) - (cons true :before-last-tried-atom))) -(defvar values-and-passes2 (list (cons false :after-last-tried-atom) - (cons false :before-last-tried-atom))) -(defvar values-and-passes3 (list (cons true :after-last-tried-atom) - (cons true :before-last-tried-atom) - (cons false :atoms-in-order))) -(defvar values-and-passes4 (list (cons false :after-last-tried-atom) - (cons false :before-last-tried-atom) - (cons true :atoms-in-order))) -(defvar values-and-passes5 (list (cons true :atoms-in-order))) -(defvar values-and-passes6 (list (cons false :atoms-in-order))) -(defvar values-and-passes7 (list (cons true :atoms-in-order) - (cons false :atoms-in-order))) -(defvar values-and-passes8 (list (cons false :atoms-in-order) - (cons true :atoms-in-order))) - -(defun lookahead* (clause-set lookahead-values verbose) - (let ((*more-units-function* nil) ;don't apply lookahead recursively - (ntrials 0)) - (when verbose - (if (null *last-tried-atom*) - (format t "~%LOOKAHEAD call ") - (format t "~% call ")) - (format t "with ~D unassigned atoms " (count-if-not #'dp-atom-value (dp-clause-set-atoms clause-set)))) - ;; initialize triable-atom slots - (cond - ((eq true lookahead-values) - (dolist (atom (dp-clause-set-atoms clause-set)) - (setf (dp-atom-true-triable atom) (null (dp-atom-value atom))))) - ((eq false lookahead-values) - (dolist (atom (dp-clause-set-atoms clause-set)) - (setf (dp-atom-false-triable atom) (null (dp-atom-value atom))))) - (t - (cl:assert (member lookahead-values '(:true-false :false-true))) - (dolist (atom (dp-clause-set-atoms clause-set)) - (setf (dp-atom-true-triable atom) (setf (dp-atom-false-triable atom) (null (dp-atom-value atom))))))) - ;; continue trying assignments in order after the last successful one in *last-tried-atom* - (dolist (value-and-pass - (if *last-tried-atom* - (cond - ((eq true lookahead-values) - values-and-passes1) - ((eq false lookahead-values) - values-and-passes2) - (t - (cond - ((eq false (dp-atom-value *last-tried-atom*)) ;trying true assignments - values-and-passes3) - (t ;trying false assignments - values-and-passes4)))) - (cond - ((eq true lookahead-values) - values-and-passes5) - ((eq false lookahead-values) - values-and-passes6) - ((eq :true-false lookahead-values) - values-and-passes7) - (t - values-and-passes8)))) - (let* ((value (car value-and-pass)) - (pass (cdr value-and-pass)) - (try-it (not (eq :after-last-tried-atom pass)))) - (dolist (atom (dp-clause-set-atoms clause-set)) - (cond - ((and (not (eq :atoms-in-order pass)) - (eq atom *last-tried-atom*)) - (if try-it - (return) - (setf try-it t))) - ((and try-it - (if (eq true value) - (dp-atom-true-triable atom) - (dp-atom-false-triable atom))) - (setf (dp-atom-value atom) value) - (setf (dp-atom-next atom) nil) - (let ((v (assign-atoms atom))) - (cond - ((eq :unsatisfiable v) - (when verbose - (when *verbose-lookahead-show-count* - (show-count (incf ntrials) t)) - (format t "derived ~A." - (if (eq true value) - (complementary-literal (dp-atom-name atom)) - (dp-atom-name atom)))) - (setf (dp-atom-value atom) (if (eq true value) false true)) - (setf (dp-atom-next atom) nil) - (setf *last-tried-atom* atom) - (return-from lookahead* (values atom t))) - (t - (when (and verbose *verbose-lookahead-show-count*) - (show-count (incf ntrials))) - (cond - ((eq true lookahead-values) - (do ((atom v (dp-atom-next atom))) - ((null atom)) - (when (eq true (dp-atom-value atom)) - (setf (dp-atom-true-triable atom) nil)))) - ((eq false lookahead-values) - (do ((atom v (dp-atom-next atom))) - ((null atom)) - (when (eq false (dp-atom-value atom)) - (setf (dp-atom-false-triable atom) nil)))) - (t - (do ((atom v (dp-atom-next atom))) - ((null atom)) - (if (eq true (dp-atom-value atom)) - (setf (dp-atom-true-triable atom) nil) - (setf (dp-atom-false-triable atom) nil))))) - (unassign-atoms v))))))))) - (when verbose - (when *verbose-lookahead-show-count* - (show-count ntrials nil t)) - (format t "failed to derive a unit clause.")) - nil)) - -(defun show-count-p (n) - (dolist (v '(100000 10000 1000 100 10) t) - (when (>= n v) - (return (eql 0 (mod n v)))))) - -(defun show-count (n &optional always neg) - (when (or always (if neg (not (show-count-p n)) (show-count-p n))) - (princ n) - (princ " "))) - -;;; routines for translating well-formed formulas (wffs) to clause form - -(defun variable-and-range-p (x) - (and (consp x) - (symbolp (first x)) - (not (null (first x))) - (variable-range (rest x)))) - -(defun variables-and-ranges-p (x) - (and (consp x) - (if (consp (first x)) - (every #'variable-and-range-p x) - (variable-and-range-p x)))) - -(defun quoteval (x &optional env) - (cond - ((consp x) - (apply (first x) (mapcar (lambda (x) (quoteval x env)) (rest x)))) - (t - (let ((v (assoc x env))) - (if v (cdr v) x))))) - -(defun variable-range (x &optional (range-term-values 'syntax-check)) - (cond - ((not (consp x)) - nil) - (t - (case (first x) - (:in ;e.g., COLOR2 :IN (LIST R G B) :EXCEPT COLOR1 - (if (eq range-term-values 'syntax-check) ;or COLOR2 :IN (LIST R G B) :AFTER COLOR1 - (and (or (consp (second x)) (symbolp (second x))) - (or (do ((l (cddr x) (cddr l))) - ((null l) - t) - (unless (and (eq :except (first l)) - (rest l) - (symbolp (second l))) - (return nil))) - (and (eq :after (first (cddr x))) - (rest (cddr x)) - (symbolp (second (cddr x))) - (null (cddddr x))))) - (cond - ((null (cddr x)) - (quoteval (second x) range-term-values)) - ((eq :after (first (cddr x))) - (rest (member (range-term-value (second (cddr x)) range-term-values x) - (quoteval (second x) range-term-values) - :test #'equal))) - (t - (let ((result nil) result-last) - (dolist (i (quoteval (second x) range-term-values)) - (do ((l (cddr x) (cddr l))) - ((null l) - (collect i result)) - (when (equal (range-term-value (second l) range-term-values x) i) - (return nil)))) - result))))) - (otherwise - nil))))) - -(defun range-term-value (x range-term-values range) - (cond - ((integerp x) - x) - (t - (let ((v (assoc x range-term-values))) - (cond - (v - (cdr v)) - (t - (error "Variable ~A has no value in range ~A." x range))))))) - -(defun expand-range-form (ranges wff range-term-values) - (let ((var (first (first ranges))) - (result nil) result-last) - (if (null (rest ranges)) - (dolist (value (variable-range (rest (first ranges)) range-term-values)) - (collect (replace-variable-by-value-in-term var value wff) result)) - (dolist (value (variable-range (rest (first ranges)) range-term-values)) - (ncollect (expand-range-form - (rest ranges) - (replace-variable-by-value-in-term var value wff) - (acons var value range-term-values)) - result))) - result)) - -(defun replace-variable-by-value-in-term (var value term) - (cond - ((consp term) - (let* ((u (car term)) - (u* (replace-variable-by-value-in-term var value u)) - (v (cdr term))) - (if (null v) - (if (eq u u*) - term - (list u*)) - (let ((v* (replace-variable-by-value-in-term var value v))) - (if (and (eq v v*) (eq u u*)) - term - (cons u* v*)))))) - ((eq var term) - value) - (t - term))) - -(defun wff-clauses (wff &optional map-fun) - ;; apply map-fun to each clause in the clause form of wff - (let ((clauses nil)) - (labels - ((wff-kind (wff) - (cond - ((consp wff) - (let ((head (first wff))) - (case head - (not - (cl:assert (eql 1 (length (rest wff))) () "Wff ~A should have one argument." wff) - head) - ((and or) - (cl:assert (<= 2 (length (rest wff))) () "Wff ~A should have two or more arguments." wff) - head) - ((implies implied-by iff xor) - (cl:assert (eql 2 (length (rest wff))) () "Wff ~A should have two arguments." wff) - head) - (if - (cl:assert (eql 3 (length (rest wff))) () "Wff ~A should have three arguments." wff) - head) - ((forall exists) - (cl:assert (eql 2 (length (rest wff))) () "Wff ~A should have two arguments." wff) - (cl:assert (variables-and-ranges-p (second wff))) - head) - (otherwise - :literal)))) - (t - :literal))) - (combine-quantifiers (wff) - (let ((quantifier (first wff)) - (ranges (if (consp (first (second wff))) (second wff) (list (second wff)))) ;(forall (x ...) ...) -> (forall ((x ...)) ...) - (form (third wff))) - (cond - ((eq quantifier (wff-kind form)) ;nesting of same quantifier - (let ((form (combine-quantifiers form))) - (list quantifier (append ranges (second form)) (third form)))) - (t - (list quantifier ranges form))))) - (wff-clauses* (wff pos lits map-fun) - (case (wff-kind wff) - (:literal - (let ((-wff (complementary-literal wff))) - (unless (eq (if pos true false) wff) - (dolist (lit lits (funcall map-fun (if (eq (if pos false true) wff) lits (cons (if pos wff -wff) lits)))) - (cond - ((equal lit wff) - (when pos - (funcall map-fun lits)) - (return)) - ((equal lit -wff) - (unless pos - (funcall map-fun lits)) - (return))))))) - (not - (wff-clauses* (second wff) (not pos) lits map-fun)) - (and - (if pos - (if (and lits (some (lambda (arg) (member arg lits :test #'equal)) (rest wff))) - (funcall map-fun lits) - (dolist (arg (rest wff)) - (wff-clauses* arg t lits map-fun))) - (wff-clauses* (second wff) nil lits (lambda (l) (wff-clauses* (if (rrrest wff) `(and ,@(rrest wff)) (third wff)) nil l map-fun))))) - (or - (if pos - (wff-clauses* (second wff) t lits (lambda (l) (wff-clauses* (if (rrrest wff) `(or ,@(rrest wff)) (third wff)) t l map-fun))) - (if (and lits (some (lambda (arg) (member (complementary-literal arg) lits :test #'equal)) (rest wff))) - (funcall map-fun lits) - (dolist (arg (rest wff)) - (wff-clauses* arg nil lits map-fun))))) - (implies - (if pos - (wff-clauses* (second wff) nil lits (lambda (l) (wff-clauses* (third wff) t l map-fun))) - (progn - (wff-clauses* (second wff) t lits map-fun) - (wff-clauses* (third wff) nil lits map-fun)))) - (implied-by - (if pos - (wff-clauses* (third wff) nil lits (lambda (l) (wff-clauses* (second wff) t l map-fun))) - (progn - (wff-clauses* (third wff) t lits map-fun) - (wff-clauses* (second wff) nil lits map-fun)))) - (iff - (if pos - (progn - (wff-clauses* (second wff) nil lits (lambda (l) (wff-clauses* (third wff) t l map-fun))) - (wff-clauses* (second wff) t lits (lambda (l) (wff-clauses* (third wff) nil l map-fun)))) - (progn - (wff-clauses* (second wff) nil lits (lambda (l) (wff-clauses* (third wff) nil l map-fun))) - (wff-clauses* (second wff) t lits (lambda (l) (wff-clauses* (third wff) t l map-fun)))))) - (xor - (if pos - (progn - (wff-clauses* (second wff) nil lits (lambda (l) (wff-clauses* (third wff) nil l map-fun))) - (wff-clauses* (second wff) t lits (lambda (l) (wff-clauses* (third wff) t l map-fun)))) - (progn - (wff-clauses* (second wff) nil lits (lambda (l) (wff-clauses* (third wff) t l map-fun))) - (wff-clauses* (second wff) t lits (lambda (l) (wff-clauses* (third wff) nil l map-fun)))))) - (if - (wff-clauses* (second wff) nil lits (lambda (l) (wff-clauses* (third wff) pos l map-fun))) - (wff-clauses* (second wff) t lits (lambda (l) (wff-clauses* (fourth wff) pos l map-fun)))) - (forall ;yields conjunction over range - (let* ((wff (combine-quantifiers wff)) - (wffs (expand-range-form (second wff) (third wff) nil))) - (cl:assert (not (null wffs)) () "Wff ~S expands into empty conjunction." wff) - (wff-clauses* (if (null (rest wffs)) (first wffs) `(and ,@wffs)) pos lits map-fun))) - (exists ;yields disjunction over range - (let* ((wff (combine-quantifiers wff)) - (wffs (expand-range-form (second wff) (third wff) nil))) - (cl:assert (not (null wffs)) () "Wff ~S expands into empty disjunction." wff) - (wff-clauses* (if (null (rest wffs)) (first wffs) `(or ,@wffs)) pos lits map-fun)))))) - (wff-clauses* wff t nil - (lambda (lits) - (if map-fun - (funcall map-fun (reverse lits)) - (push (reverse lits) clauses)))) - (nreverse clauses)))) - -(defvar *verbose-subsumption* nil) -(defvar *subsumption-show-count* nil) - -(defun dp-subsumption (clause-set &optional print-summary) - ;; eliminate subsumed clauses - ;; also add resolvents when they subsume a parent - (assert-unvalued-dp-clause-set-p clause-set) - (cl:assert (eql 0 (dp-clause-set-checkpoint-level clause-set)) () - "Cannot use subsumption on clause set that has a checkpoint.") - (let ((start-time (run-time-since 0.0)) - (changed nil) - (candidates nil) - (count 0)) - (labels - ((same-literal (clauses) - (dolist (clause2 clauses) - (let ((subsumption-mark (dp-clause-subsumption-mark clause2))) - (cond - ((null subsumption-mark) - (push clause2 candidates) - (setf (dp-clause-subsumption-mark clause2) (cons 1 0))) - ((not (eq :subsumed subsumption-mark)) - (incf (car subsumption-mark))))))) - (comp-literal (clauses) - (dolist (clause2 clauses) - (let ((subsumption-mark (dp-clause-subsumption-mark clause2))) - (cond - ((null subsumption-mark) - (push clause2 candidates) - (setf (dp-clause-subsumption-mark clause2) (cons 0 1))) - ((not (eq :subsumed subsumption-mark)) - (incf (cdr subsumption-mark))))))) - (resolve (clause clause2 &optional subsume-both) - (setf changed t) - (when *verbose-subsumption* - (if subsume-both - (format t "~%Resolve ~A with ~A subsuming both" clause clause2) - (format t "~%Resolve ~A with ~A subsuming it" clause clause2))) - (setf (dp-clause-subsumption-mark clause2) :subsumed) - (when subsume-both - (setf (dp-clause-subsumption-mark clause) :subsumed)) - (let ((poslits (dp-clause-positive-literals clause)) - (neglits (dp-clause-negative-literals clause)) - (poslits2 (dp-clause-positive-literals clause2)) - (neglits2 (dp-clause-negative-literals clause2)) - (resolvent-poslits nil) - (resolvent-neglits nil)) - (when (or (null neglits2) (null (cdr poslits))) - (psetq poslits poslits2 - neglits neglits2 - poslits2 poslits - neglits2 neglits)) - (dolist (atom poslits) - (unless (member atom neglits2) - (push atom resolvent-poslits))) - (dolist (atom poslits2) - (unless (member atom neglits) - (pushnew atom resolvent-poslits))) - (dolist (atom neglits) - (unless (member atom poslits2) - (push (list 'not atom) resolvent-neglits))) - (dolist (atom neglits2) - (unless (member atom poslits) - (pushnew (list 'not atom) resolvent-neglits :key #'second))) - (dp-insert (nconc (nreverse resolvent-poslits) (nreverse resolvent-neglits)) clause-set))) - (delete-clauses (first) - (let ((nclauses 0) (nliterals 0)) - (loop - (cond - ((null first) - (decf (dp-clause-set-number-of-clauses clause-set) nclauses) - (decf (dp-clause-set-number-of-literals clause-set) nliterals) - (return-from delete-clauses (values nil nil))) - ((eq :subsumed (dp-clause-subsumption-mark first)) - (incf nclauses) - (incf nliterals (+ (length (dp-clause-positive-literals first)) - (length (dp-clause-negative-literals first)))) - (setf first (dp-clause-next first))) - (t - (return)))) - (let* ((last first) - (next (dp-clause-next last))) - (loop - (cond - ((null next) - (decf (dp-clause-set-number-of-clauses clause-set) nclauses) - (decf (dp-clause-set-number-of-literals clause-set) nliterals) - (return-from delete-clauses (values first last))) - ((eq :subsumed (dp-clause-subsumption-mark next)) - (incf nclauses) - (incf nliterals (+ (length (dp-clause-positive-literals next)) - (length (dp-clause-negative-literals next)))) - (setf next (setf (dp-clause-next last) (dp-clause-next next)))) - (t - (setf next (dp-clause-next (setf last next))))))))) - (subsumption (clause) - (when *subsumption-show-count* - (show-count (incf count))) - (unless (eq :subsumed (dp-clause-subsumption-mark clause)) - (dolist (atom (dp-clause-positive-literals clause)) - (same-literal (rest (member clause (dp-atom-contained-positively-clauses atom)))) - (comp-literal (dp-atom-contained-negatively-clauses atom))) - (dolist (atom (dp-clause-negative-literals clause)) - (same-literal (rest (member clause (dp-atom-contained-negatively-clauses atom)))) - (comp-literal (dp-atom-contained-positively-clauses atom))) - (let ((length (+ (dp-clause-number-of-unresolved-positive-literals clause) - (dp-clause-number-of-unresolved-negative-literals clause)))) - (dolist (clause2 candidates) - (let ((same-count (car (dp-clause-subsumption-mark clause2)))) - (cond - ((eql same-count length) - (setf changed t) - (when *verbose-subsumption* - (format t "~%Subsume ~A by ~A" clause2 clause)) - (setf (dp-clause-subsumption-mark clause2) :subsumed)) - ((eql same-count (+ (dp-clause-number-of-unresolved-positive-literals clause2) - (dp-clause-number-of-unresolved-negative-literals clause2))) - (setf changed t) - (when *verbose-subsumption* - (format t "~%Subsume ~A by ~A" clause clause2)) - (setf (dp-clause-subsumption-mark clause) :subsumed))))) - (decf length) - (dolist (clause2 candidates) - (let ((subsumption-mark (dp-clause-subsumption-mark clause2))) - (unless (eq :subsumed subsumption-mark) - (setf (dp-clause-subsumption-mark clause2) nil) - (unless (or (not (eql 1 (cdr subsumption-mark))) - (eq :subsumed (dp-clause-subsumption-mark clause))) - (let ((length2 (+ (dp-clause-number-of-unresolved-positive-literals clause2) - (dp-clause-number-of-unresolved-negative-literals clause2) - -1))) - (cond - ((and (eql 0 length) (eql 0 length2)) - ) ;don't make empty resolvent - ((eql (car subsumption-mark) length) - (resolve clause clause2 (eql (car subsumption-mark) length2))) - ((eql (car subsumption-mark) length2) - (resolve clause2 clause)))))))) - (setf candidates nil))))) - (when print-summary - (format t "~&Clause set subsumption ")) - (let ((p-clauses (make-dp-clause :next (dp-clause-set-p-clauses clause-set))) - (n-clauses (make-dp-clause :next (dp-clause-set-n-clauses clause-set))) - (m1-clauses (make-dp-clause :next (dp-clause-set-m1-clauses clause-set))) - (m2-clauses (make-dp-clause :next (dp-clause-set-m2-clauses clause-set)))) - (let (next) - (loop - (if (setf next (dp-clause-next m1-clauses)) - (subsumption (setf m1-clauses next)) - (if (setf next (dp-clause-next n-clauses)) - (subsumption (setf n-clauses next)) - (if (setf next (dp-clause-next m2-clauses)) - (subsumption (setf m2-clauses next)) - (if (setf next (dp-clause-next p-clauses)) - (subsumption (setf p-clauses next)) - (return)))))))) - (when *subsumption-show-count* - (show-count count nil t)) - (when changed - (dolist (atom (dp-clause-set-atoms clause-set)) - (let ((n 0)) - (setf (dp-atom-contained-positively-clauses atom) - (delete-if (lambda (clause) - (when (eq :subsumed (dp-clause-subsumption-mark clause)) - (incf n))) - (dp-atom-contained-positively-clauses atom))) - (setf (dp-atom-contained-negatively-clauses atom) - (delete-if (lambda (clause) - (when (eq :subsumed (dp-clause-subsumption-mark clause)) - (incf n))) - (dp-atom-contained-negatively-clauses atom))) - (decf (dp-atom-number-of-occurrences atom) n))) - (multiple-value-bind (first last) - (delete-clauses (dp-clause-set-p-clauses clause-set)) - (setf (dp-clause-set-p-clauses clause-set) first) - (setf (dp-clause-set-p-clauses-last clause-set) last)) - (multiple-value-bind (first last) - (delete-clauses (dp-clause-set-n-clauses clause-set)) - (setf (dp-clause-set-n-clauses clause-set) first) - (setf (dp-clause-set-n-clauses-last clause-set) last)) - (multiple-value-bind (first last) - (delete-clauses (dp-clause-set-m1-clauses clause-set)) - (setf (dp-clause-set-m1-clauses clause-set) first) - (setf (dp-clause-set-m1-clauses-last clause-set) last)) - (multiple-value-bind (first last) - (delete-clauses (dp-clause-set-m2-clauses clause-set)) - (setf (dp-clause-set-m2-clauses clause-set) first) - (setf (dp-clause-set-m2-clauses-last clause-set) last))) - (when print-summary - (format t "took ~,1F seconds" - (run-time-since start-time)) - (cond - (changed - (princ ".") - (dp-count clause-set t)) - (t - (princ " - no change.")))) - nil))) - -;;; Examples. -;;; Clauses are represented by lists of literals. -;;; Atomic formulas can be represented by numbers > 0 or S-expressions. -;;; Example literals and their negations include -;;; 3 -3 -;;; P (NOT P) -;;; (SUBSET A B) (NOT (SUBSET A B)) -;;; Clauses are added to a set of clauses by DP-INSERT. -;;; Tautologies and duplicate literals are automatically eliminated. -;;; -;;; Formulas can be converted to clause form and inserted by DP-INSERT-WFF. -;;; -;;; DP-SATISFIABLE-P is the main function used to test a set of clauses -;;; for satisfiability. Its input is created by calls on DP-INSERT that -;;; add single clauses to a set of clauses. -;;; -;;; DP-OUTPUT-CLAUSES-TO-FILE can be used to write a set of clauses to a file. -;;; DP-SATISFIABLE-FILE-P can then be used. -;;; -;;; An alternate file format that can be specified by the :dimacs-cnf-format -;;; flag represents literals by positive or negative integers and clauses by -;;; a sequence of integers separated by zeros. For example, a file might contain -;;; 1 2 0 1 -2 0 -1 2 0 -1 -2 0 to represent the clauses (1 2) (1 -2) (-1 2) (-1 -2). -;;; This is the form used by McCune's ANL-DP for propositional problems -;;; and is also the CNF format for SAT problems suggested by DIMACS. - -(defun allways-3-problem (&rest options) - ;; all signed combinations of three propositions - ;; this is not satisfiable - ;; you can omit some of the clauses to make the set - ;; satisfiable and observe dp-satisfiable-p's behavior - (let ((clause-set (make-dp-clause-set))) - (dp-insert '(1 2 3) clause-set) - (dp-insert '(1 2 -3) clause-set) - (dp-insert '(1 -2 3) clause-set) - (dp-insert '(1 -2 -3) clause-set) - (dp-insert '(-1 2 3) clause-set) - (dp-insert '(-1 2 -3) clause-set) - (dp-insert '(-1 -2 3) clause-set) - (dp-insert '(-1 -2 -3) clause-set) -;; could have been inserted as one or more wffs instead: -;; (dp-insert-wff '(or 1 -;; (and (or 2 3) -;; (implies 3 2) -;; (implies 2 3) -;; (or (not 2) (not 3)))) -;; clause-set) -;; (dp-insert-wff '(or -1 -;; (and (or 2 3) -;; (iff 2 3) -;; (not (and 2 3)))) -;; clause-set) -;; (dp-count clause-set t) -;; (dp-clauses #'print clause-set) - (apply #'dp-satisfiable-p clause-set options))) - -(defun pigeonhole-problem (nholes &rest options) - (apply #'dp-satisfiable-p - (pigeonhole-problem-clauses nholes (if (numberp (first options)) (first options) (+ nholes 1))) - (append (if (numberp (first options)) (rest options) options) (list :dependency-check nil)))) - -(defun queens-problem (n &rest options) - (apply #'dp-satisfiable-p - (queens-problem-clauses n) - (append options (list :atom-choice-function #'choose-an-atom-of-a-shortest-positive-clause-with-most-occurrences)))) - -(defun graph-coloring-problem (colors n &rest options) - (apply #'dp-satisfiable-p - (graph-coloring-problem-clauses colors n) - options)) - -(defun pigeonhole-problem-clauses (nholes &optional (nobjects (+ nholes 1))) - (let ((clause-set (make-dp-clause-set))) - #| - (loop for i from 1 to nobjects - do (dp-insert (loop for j from 1 to nholes collect `(p ,i ,j)) clause-set)) - (loop for j from 1 to nholes - do (loop for i1 from 1 to (- nobjects 1) - do (loop for i2 from (+ i1 1) to nobjects - do (dp-insert (list `(not (p ,i1 ,j)) `(not (p ,i2 ,j))) clause-set)))) - |# - ;; the methods above and below yield the same set of clauses - (dp-insert-wff `(and - (forall (i :in (ints 1 ,nobjects)) - (exists (j :in (ints 1 ,nholes)) - (p i j))) - (forall ((j :in (ints 1 ,nholes)) - (i1 :in (ints 1 (- ,nobjects 1))) - (i2 :in (ints (+ i1 1) ,nobjects))) - (or (not (p i1 j)) (not (p i2 j))))) - clause-set) - clause-set)) - -(defun queens-problem-clauses (n) - (let ((clause-set (make-dp-clause-set))) - (loop for i from 1 to n - do (dp-insert (loop for j from 1 to n collect `(q ,i ,j)) clause-set)) - (loop for j from 1 to n - do (dp-insert (loop for i from 1 to n collect `(q ,i ,j)) clause-set)) - (loop for i from 1 to n - do (loop for j from 1 to (- n 1) - do (loop for k from (+ j 1) to n - do (dp-insert (list `(not (q ,i ,j)) `(not (q ,i ,k))) clause-set) - (dp-insert (list `(not (q ,j ,i)) `(not (q ,k ,i))) clause-set)))) - (loop for i1 from 1 to (- n 1) - do (loop for i2 from (+ i1 1) to n - as d = (- i2 i1) - do (loop for j1 from 1 to n - when (>= (- j1 d) 1) - do (dp-insert (list `(not (q ,i1 ,j1)) `(not (q ,i2 ,(- j1 d)))) clause-set) - when (<= (+ j1 d) n) - do (dp-insert (list `(not (q ,i1 ,j1)) `(not (q ,i2 ,(+ j1 d)))) clause-set)))) - clause-set)) - -(defun graph-coloring-problem-clauses (colors n) - ;; a Ramsey problem: - ;; can the edges of a complete graph with n nodes be colored - ;; with colors so that there is no isochromatic triangle? - ;; - ;; (graph-coloring-problem '(red green) 5) is solvable but - ;; (graph-coloring-problem '(red green) 6) is not - ;; - ;; (graph-coloring-problem '(red green blue) 16) is solvable but - ;; (graph-coloring-problem '(red green blue) 17) is not - ;; but this is hard to show (symmetry elimination would help) - (let ((clause-set (make-dp-clause-set))) - (dp-insert-wff `(forall ((i :in (ints 1 ,n)) - (j :in (ints (+ i 1) ,n))) - (exists (c :in (list ,@colors)) (c i j))) - clause-set) - (dp-insert-wff `(forall ((i :in (ints 1 ,n)) - (j :in (ints (+ i 1) ,n)) - (c1 :in (list ,@colors)) - (c2 :in (list ,@colors) :after c1)) - (not (and (c1 i j) (c2 i j)))) - clause-set) - (dp-insert-wff `(forall ((i :in (ints 1 ,n)) - (j :in (ints (+ i 1) ,n)) - (k :in (ints j ,n) :except j) - (c :in (list ,@colors))) - (not (and (c i j) (c i k) (c j k)))) - clause-set) -;; (dp-clauses #'print clause-set) - clause-set)) - -;;; davis-putnam3.lisp EOF diff --git a/snark-20120808r02/src/deque-system.lisp b/snark-20120808r02/src/deque-system.lisp deleted file mode 100644 index 0775d3d..0000000 --- a/snark-20120808r02/src/deque-system.lisp +++ /dev/null @@ -1,38 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: common-lisp-user -*- -;;; File: deque-system.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2012. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :common-lisp-user) - -(defpackage :snark-deque - (:use :common-lisp :snark-lisp) - (:export - #:make-deque - #:deque? - #:deque-empty? - #:deque-first #:deque-rest #:deque-pop-first #:deque-add-first #:deque-push-first - #:deque-last #:deque-butlast #:deque-pop-last #:deque-add-last #:deque-push-last - #:deque-length - #:deque-delete - #:deque-delete-if - #:mapnconc-deque - )) - -(loads "deque2") - -;;; deque-system.lisp EOF diff --git a/snark-20120808r02/src/deque2.abcl b/snark-20120808r02/src/deque2.abcl deleted file mode 100644 index eeea2b34167365b457f9216006be2a23f34328a6..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 39439 zcma&NQ(&dt7N%Q>vtpxS+eXEcRBGFbI}r2I zmMa@4KtvFfk<%%_4E z-hKM>YBi3&RZF*8jPIX^m~$20)%lo)gWHtx%4*lul&89talDpEGl7oH1-aGk zj@a?`H=%jfN~`Mqg>*V}kMf^g%1`4tv3G|wly)Nxs-rBDu!2hU%F9%3b?{uu~~Pg6T!z zGxFDw>DLKo_Uy!su4iEi%RzeBuDA;JZ3j9z|Mp!1|*bz%- 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You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2012. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark-deque) - -(defstruct (deque - (:predicate deque?)) - (front nil :type list) - (last-of-front nil) - (rear nil :type list) - (last-of-rear nil)) - -(defun deque-empty? (deque) - (and (null (deque-front deque)) (null (deque-rear deque)))) - -(defun deque-first (deque) - ;; returns first item in deque, nil if deque is empty - (let ((front (deque-front deque))) - (if front (first front) (deque-last-of-rear deque)))) - -(defun deque-last (deque) - ;; returns last item in deque, nil if deque is empty - (let ((rear (deque-rear deque))) - (if rear (first rear) (deque-last-of-front deque)))) - -(defun deque-rest (deque) - ;; returns new deque with first item removed, deque if it is empty - (let ((front (deque-front deque)) - (rear (deque-rear deque))) - (cond - (front - (let ((front* (rest front))) - (make-deque - :front front* - :last-of-front (if front* (deque-last-of-front deque) nil) - :rear rear - :last-of-rear (deque-last-of-rear deque)))) - (rear - (let ((front* (rest (reverse rear)))) - (make-deque - :front front* - :last-of-front (if front* (first rear) nil) - :rear nil - :last-of-rear nil))) - (t - deque)))) - -(defun deque-butlast (deque) - ;; returns new deque with last item removed, deque if it is empty - (let ((front (deque-front deque)) - (rear (deque-rear deque))) - (cond - (rear - (let ((rear* (rest rear))) - (make-deque - :rear rear* - :last-of-rear (if rear* (deque-last-of-rear deque) nil) - :front front - :last-of-front (deque-last-of-front deque)))) - (front - (let ((rear* (rest (reverse front)))) - (make-deque - :rear rear* - :last-of-rear (if rear* (first front) nil) - :front nil - :last-of-front nil))) - (t - deque)))) - -(defun deque-pop-first (deque) - ;; like deque-rest, but return first item and destructively remove it from deque - (let ((front (deque-front deque)) - (rear (deque-rear deque))) - (cond - (front - (let ((front* (rest front))) - (setf (deque-front deque) front*) - (when (null front*) - (setf (deque-last-of-front deque) nil)) - (first front))) - (rear - (let ((item (deque-last-of-rear deque)) - (front* (rest (reverse rear)))) - (setf (deque-front deque) front*) - (setf (deque-last-of-front deque) (if front* (first rear) nil)) - (setf (deque-rear deque) nil) - (setf (deque-last-of-rear deque) nil) - item)) - (t - nil)))) - -(defun deque-pop-last (deque) - ;; like deque-butlast, but return last item and destructively remove it from deque - (let ((front (deque-front deque)) - (rear (deque-rear deque))) - (cond - (rear - (let ((rear* (rest rear))) - (setf (deque-rear deque) rear*) - (when (null rear*) - (setf (deque-last-of-rear deque) nil)) - (first rear))) - (front - (let ((item (deque-last-of-front deque)) - (rear* (rest (reverse front)))) - (setf (deque-rear deque) rear*) - (setf (deque-last-of-rear deque) (if rear* (first front) nil)) - (setf (deque-front deque) nil) - (setf (deque-last-of-front deque) nil) - item)) - (t - nil)))) - -(defun deque-add-first (deque item) - ;; returns new deque with new first item added - (let ((front (deque-front deque))) - (make-deque - :front (cons item front) - :last-of-front (if front (deque-last-of-front deque) item) - :rear (deque-rear deque) - :last-of-rear (deque-last-of-rear deque)))) - -(defun deque-add-last (deque item) - ;; returns new deque with new last item added - (let ((rear (deque-rear deque))) - (make-deque - :rear (cons item rear) - :last-of-rear (if rear (deque-last-of-rear deque) item) - :front (deque-front deque) - :last-of-front (deque-last-of-front deque)))) - -(defun deque-push-first (deque item) - ;; like deque-add-first, but returns same deque with new first item added destructively - (let ((front (deque-front deque))) - (setf (deque-front deque) (cons item front)) - (when (null front) - (setf (deque-last-of-front deque) item)) - deque)) - -(defun deque-push-last (deque item) - ;; like deque-add-last, but returns same deque with new last item added destructively - (let ((rear (deque-rear deque))) - (setf (deque-rear deque) (cons item rear)) - (when (null rear) - (setf (deque-last-of-rear deque) item)) - deque)) - -(defun deque-length (deque) - (+ (length (deque-front deque)) (length (deque-rear deque)))) - -(defun deque-delete (deque item) - ;; ad hoc function to delete single occurrence of item from deque destructively - (let ((front (deque-front deque)) - (rear (deque-rear deque))) - (cond - ((and front (eql item (first front))) - (when (null (setf (deque-front deque) (rest front))) - (setf (deque-last-of-front deque) nil)) - t) - ((and rear (eql item (first rear))) - (when (null (setf (deque-rear deque) (rest rear))) - (setf (deque-last-of-rear deque) nil)) - t) - ((dotails (l front nil) - (when (and (rest l) (eql item (second l))) - (when (null (setf (rest l) (rrest l))) - (setf (deque-last-of-front deque) (first l))) - (return t)))) - ((dotails (l rear nil) - (when (and (rest l) (eql item (second l))) - (when (null (setf (rest l) (rrest l))) - (setf (deque-last-of-rear deque) (first l))) - (return t)))) - (t - nil)))) - -(defun deque-delete-if (function deque) - ;; ad hoc function to delete items from deque destructively - (let* ((deleted nil) - (front* (prog-> - (delete-if (deque-front deque) ->* item) - (when (funcall function item) - (setf deleted t))))) - (when deleted - (setf (deque-front deque) front*) - (setf (deque-last-of-front deque) (first (last front*))))) - (let* ((deleted nil) - (rear* (prog-> - (delete-if (deque-rear deque) :from-end t ->* item) - (when (funcall function item) - (setf deleted t))))) - (when deleted - (setf (deque-rear deque) rear*) - (setf (deque-last-of-rear deque) (first (last rear*))))) - deque) - -(defun mapnconc-deque (function deque &key reverse) - ;; ad hoc function to nconc results of applying function to items in deque - (let ((front (deque-front deque)) - (rear (deque-rear deque)) - (result nil) result-last) - (dolist (item (if reverse rear front)) - (if (or (null function) (eq 'list function) (eq #'list function)) - (collect item result) - (ncollect (funcall function item) result))) - (dolist (item (if reverse (reverse front) (reverse rear))) - (if (or (null function) (eq 'list function) (eq 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Common-Lisp; Package: snark -*- -;;; File: dp-refute.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2011. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -(declaim (special map-atoms-first *subsuming* *frozen-variables*)) - -(defstruct (context - (:constructor make-context (formula &optional assignment substitution)) - (:print-function print-context)) - formula - (substitution nil) - (assignment nil)) - -(defun make-context2 (formula assignment substitution) - (make-context - (simplify-formula formula assignment substitution) ;should be incremental for efficiency - assignment - substitution)) - -(defun dp-refute-p (formula) - (prog-> - (dp-refute (make-context formula) ->* substitution) - (return-from dp-refute-p (or substitution t)))) - -(defun dp-refute (cc context) - (when (trace-dp-refute?) - (dp-refute-trace context)) - (cond - ((eq true (context-formula context)) - ) ;don't do anything if formula is not falsifiable (return failed context?) - ((eq false (context-formula context)) - (funcall cc (context-substitution context))) ;succeeded - (t - (prog-> - (refute-methods context ->* x) - (ecase (first x) - - (instantiate ;extend substitution - (second x -> substitution) -;; (cl:assert (and (neq (context-substitution context) substitution) -;; (tailp (context-substitution context) substitution))) - (dp-refute - (make-context2 - (context-formula context) - (context-assignment context) - substitution) - ->* substitution) - (funcall cc substitution)) - - (split - (second x -> atom) - (third x -> value) ;refute atom-value branch first - (if (eq true value) false true -> not-value) - (when (trace-dp-refute?) - (dp-refute-trace context atom value)) - (dp-refute - (make-context2 - (context-formula context) - (cons (list atom value) (context-assignment context)) - (context-substitution context)) - ->* substitution) - (when (trace-dp-refute?) - (dp-refute-trace context atom not-value)) - (dp-refute - (make-context2 - (context-formula context) - (cons (list atom not-value) (context-assignment context)) - substitution) - ->* substitution) - (funcall cc substitution)) - - (close-branch-and-refute-other-branch - (second x -> atom) - (third x -> value) - (fourth x -> substitution) - (if (eq true value) false true -> not-value) -;; (cl:assert (and (neq (context-substitution context) substitution) -;; (tailp (context-substitution context) substitution))) - (dp-refute - (make-context2 - (context-formula context) - (cons (list atom not-value) (context-assignment context)) - substitution) - ->* substitution) - (funcall cc substitution)))))) - nil) - -(defun dp-refute-trace (context &optional atom value) - (terpri) - (dolist (x (context-assignment context)) - (declare (ignorable x)) - (princ " ")) - (cond - ((null atom) - (princ "REFUTE: ") - (print-context context)) - (t - (princ " ") - (prin1 atom) - (princ " <- ") - (prin1 value)))) - -;;; simple versions of choose-atom, refute-methods, and simplify-formula -;;; that are suitable for SNARK are given -;;; STeP will require much more sophisticated versions - -(defun choose-atom (cc context) - ;; pick any atom not already assigned a value - ;; better heuristic selection is called for - (prog-> - (context-substitution context -> substitution) - (identity map-atoms-first -> maf) - (quote t -> map-atoms-first) - (map-atoms-in-wff (context-formula context) ->* atom polarity) - (declare (ignore polarity)) - (identity maf -> map-atoms-first) - (unless (member atom (context-assignment context) :key #'car :test (lambda (x y) (equal-p x y substitution))) - (funcall cc atom) - ;; quit after finding first one - ;; STeP may require additional choices, if falsifiability depends on order in which branches are explored - (return-from choose-atom atom)))) - -(defun refute-methods (cc context) - ;; pick an atom to assign - ;; attempt to refute it by unification with a complementary assignment - ;; there will be more ways to refute atoms when theories are interpreted - (let ((assignment (context-assignment context)) - (substitution (context-substitution context))) - (prog-> - (choose-atom context ->* atom) - (quote nil -> empty-substitution-works) - (prog-> - (dolist assignment ->* x) - (first x -> atom2) - (second x -> value2) - (if (eq true value2) false true -> value) - (unify atom atom2 substitution ->* substitution2) - (when (eq substitution2 substitution) - (setf empty-substitution-works t)) - (funcall cc `(close-branch-and-refute-other-branch ,atom ,value ,substitution2))) - (unless empty-substitution-works - (funcall cc `(split ,atom ,true)))))) - -(defun simplify-formula (formula assignment substitution) - (prog-> - (map-atoms-in-wff-and-compose-result formula ->* atom polarity) - (declare (ignore polarity)) - (or (second (assoc-p atom assignment substitution)) - (instantiate atom substitution)))) - -(defun print-context (context &optional (stream *standard-output*) depth) - (declare (ignore depth)) - (format stream "#") - context) - -(defun dp-subsume* (cc wff1 wff2 subst neg) - (cond - ((if neg - (or (eq false wff2) (eq true wff1)) - (or (eq true wff2) (eq false wff1))) - (funcall cc subst)) - ((if neg - (or (eq true wff2) (eq false wff1)) - (or (eq false wff2) (eq true wff1))) - ) - (t - (prog-> - (if neg - (maximum-and-minimum-clause-lengths-neg wff1 subst) - (maximum-and-minimum-clause-lengths wff1 subst) - -> max1 min1) - (declare (ignore min1)) - (if neg - (maximum-and-minimum-clause-lengths-neg wff2 subst) - (maximum-and-minimum-clause-lengths wff2 subst) - -> max2 min2) - (declare (ignore max2)) - (when (> max1 min2) - (return-from dp-subsume*))) - (dp-refute - cc - (make-context2 - (if neg (conjoin wff2 (negate wff1)) (conjoin (negate wff2) wff1)) - nil - subst))))) - -(defun dp-subsume-constraint-alists* (cc constraint-alist1 constraint-alist2 subst) - (cond - ((null constraint-alist1) - (funcall cc subst)) - (t - (prog-> - (first constraint-alist1 -> x) - (dp-subsume* (cdr x) (or (cdr (assoc (car x) constraint-alist2)) false) subst nil ->* subst) - (dp-subsume-constraint-alists* (rest constraint-alist1) constraint-alist2 subst ->* subst) - (funcall cc subst)))) - nil) - -(defun dp-subsume (cc wff1 wff2 subst neg) - (prog-> - (identity *subsuming* -> sb) - (quote t -> *subsuming*) - (identity *frozen-variables* -> fv) ;save list of frozen variables - (variables wff2 subst fv -> *frozen-variables*) ;add wff2's variables to frozen variables - (dp-subsume* wff1 wff2 subst neg ->* subst) - (identity sb -> *subsuming*) - (identity fv -> *frozen-variables*) ;restore list of frozen variables - (funcall cc subst))) - -(defun dp-subsume+ (row1 row2) - (prog-> - (row-wff row1 -> wff1) - (row-wff row2 -> wff2) - (row-constraints row1 -> constraint-alist1) - (row-constraints row2 -> constraint-alist2) - (row-answer row1 -> answer1) - (row-answer row2 -> answer2) - - (row-variables row2 *frozen-variables* -> *frozen-variables*) - - (dp-subsume* wff1 wff2 nil nil ->* subst) - (dp-subsume-constraint-alists* constraint-alist1 constraint-alist2 subst ->* subst) - (dp-subsume* answer1 answer2 subst nil ->* subst) - (declare (ignore subst)) - (return-from dp-subsume+ t))) - -;;; dp-refute.lisp EOF diff --git a/snark-20120808r02/src/dpll-system.lisp b/snark-20120808r02/src/dpll-system.lisp deleted file mode 100644 index 10ae9df..0000000 --- a/snark-20120808r02/src/dpll-system.lisp +++ /dev/null @@ -1,46 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: common-lisp-user -*- -;;; File: dpll-system.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2010. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :common-lisp-user) - -(defpackage :snark-dpll - (:use :common-lisp :snark-lisp) - (:export - #:dp-prover #:dp-version - #:dp-tracing #:dp-tracing-state #:dp-tracing-models #:dp-tracing-choices - #:dp-satisfiable-p #:dp-satisfiable-file-p #:make-dp-clause-set - #:dp-insert #:dp-insert-sorted #:dp-insert-wff #:dp-insert-file - #:dp-count #:dp-clauses #:dp-output-clauses-to-file #:wff-clauses - #:dp-horn-clause-set-p - #:checkpoint-dp-clause-set #:restore-dp-clause-set #:uncheckpoint-dp-clause-set - #:choose-an-atom-of-a-shortest-clause - #:choose-an-atom-of-a-shortest-clause-randomly - #:choose-an-atom-of-a-shortest-clause-with-most-occurrences - #:choose-an-atom-of-a-shortest-clause-with-most-occurrences-randomly - #:choose-an-atom-of-a-shortest-positive-clause - #:choose-an-atom-of-a-shortest-positive-clause-randomly - #:choose-an-atom-of-a-shortest-positive-clause-with-most-occurrences - #:choose-an-atom-of-a-shortest-positive-clause-with-most-occurrences-randomly - #:lookahead-true #:lookahead-false - #:lookahead-true-false #:lookahead-false-true - )) - -(loads "davis-putnam3") - -;;; dpll-system.lisp EOF diff --git a/snark-20120808r02/src/equal.abcl b/snark-20120808r02/src/equal.abcl deleted file mode 100644 index 83f84e11d292bb4623d8765005bbcb3047667958..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 8667 zcma)?Wl&sMw1u&tjYH@TF2UVBNaJq7T^e_HZQR`@xJ%IB8r*|>kYFJMCyRkbB?dO9z)j35U)=XV(H|9YM9nz*xCahV33M*UrY6Yp4R`feev+cfzL>~-c zZ&|4(WfcOqGDmKf+@^-aq_gC;#;Ede`iz~$(fS(k5V0GL>Faiw%4ixJBdjnLotGG5 z=Z34Q2uiG*Dl}8OuSwio>e8l5pFCAoIlRBrRDD>TALAtKQXkgkJ_(`tUZuko;QrdJ zBw%j_Q|!$p=N}w*3(H$S^ zQ24}|Ky98)R#3G2R2%O$3^FXJ(;DvmxDDWl<9OJO;po1H+%Y~+t-M#)eg!;^cAd-F zaPe>b`sjC<^W$>q_6^KYZ#rOY+@f2bhbCq{qcHnysDHuCr&uemGHduI#r_yqa){NO z70Sh(=Jb%XV`Kz^UON#+U#&zoI5%j9;WG13eFW4Bg{c-crW+?aV8?$V$G7(swCra` zl%jYES+<2t+epXdvNqz6H4-s+rlkT-&N1XA(L$2s%}qwZ8U2kJQBoJ>ga*|nyxm$F z=%|+UL`@vylst^Es%-@*|ce2wR?$V1O0D^o8ST#X< zp)Cy#;LNBKuW;Om9=f2@`+f$!_DKXdP8({F|N`^Zs|mu)e#@)1ITPICb8yi z`Sz@&x)5vf#?iNJt5D!V(9urcvIu7eNJawxwD2sSL$W3!=;vx#otAu{NlHjjK3(UM$y5q5SHnFHyTBqeXZhTFpPMO=!U8haea z`%_YR@SQP`isCWJiTPpHOUH-bTm9%|jcLk>;V`OmtHK9A-mh4n4&9(wFfa9p48zVct|%2MG{c^yNgh)DZ9 z85Jh-x)qkrneicv9aE@Qb=xs0C1_LXox_hm=?x%Sc{N$3DwSFS-YQ($)av7ep2 zFDoE(jF8xhiu%lalbN%+D4&8tl8)xYo~YJuap8_#ay(~wwhjJ!a*580IT^7(2*1gX ztQ=V>Vi&H=wPnO#G-OBIg?=VvNr?fwnM|;9JZQ~sPts{lRyXvJ84Rj?2$2#&OYO<@ zr)jTG^N7s*)tuS)8-A?z zJkB2auIV`QsOtCngzH#oZ?p0i|C{T%?v7$(CZ-nv^~{EBzcZ+`ZOe&RfwD=tR!rfs z7@x zSEtlHKdyfT2i1LUE;&Rw+4@4|$AMh!mz`e5j$p1U#AT1Wlmq5Q!mQ-@I~5nGp6DdL z>c>*0ch(r6X5LiOaS>sRnkeRFCtIE4%n2?F37ARZpndNj_&!#A2r(L)pp-_;<6|T_?Kj?7=3&#_TfP6L-|zL3og6*!o${|m_qC{;ACD(#*d)c zV#yR%YFfAG0>S8IDuu)F5cdQ=(Hl#ybZRw7F-SVjilkOMR1HB{Wl4{C?=A5pp*3w1 zX;|(LRBVP$itV{-9AHTYCj?!M+@ovRg)3)iouEO!)8>3UI5;~v_#`C=)gEnCJ-wlZ zk1}|A{HPEcvAdnecp>|f#fOU1jTi5D8VovEV>fQ{K)Tc6Ed;wO9XZU=C*L`o(m5Us zB)0PBmqS^e5r4Zisg1v=+Y1;N0QP@#Yxdu6J@od(MNIf1Ah z6lD=W366;lrB}-4do1M>J7+tV&nosws8Qv2{sMbt{CiSongH>mh&_Pe)4RbY9|v+1 z%S_Q>MacA~P|wp@-d3Ja_M4v%XP7YLzSG;$;E)D2wM4L^7^118O~uF0G9W@=OKMF! 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You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2010. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -;;; EQ suffices to compare function, relation, and variable symbols -;;; EQL suffices to compare constant symbols -;;; string constants must be term-hashed to be EQ - -(defun equal-p (x y &optional subst) - (or (eql x y) - (dereference - x subst - :if-variable (dereference y subst :if-variable (eq x y)) - :if-constant (dereference y subst :if-constant (eql x y)) - :if-compound-cons (dereference - y subst - :if-compound-cons (and (equal-p (carc x) (carc y) subst) - (equal-p (cdrc x) (cdrc y) subst))) - :if-compound-appl (dereference - y subst - :if-compound-appl - (or (eq x y) - (let ((head (heada x))) - (cond - ((neq head (heada y)) - nil) - (t - (dolist (fun (function-equal-code head) (equal-p (argsa x) (argsa y) subst)) - (let ((v (funcall fun x y subst))) - (unless (eq none v) - (return v)))))))))))) - -(defun ac-equal-p (x y subst) - (let ((fn (head x)) - (terms1 (args x)) - (terms2 (args y))) - (and (similar-argument-list-ac1-p fn terms1 terms2 subst) - (progn - (setf terms2 (cons nil (copy-list (argument-list-a1 fn terms2 subst)))) - (loop for term1 in (argument-list-a1 fn terms1 subst) - always (loop for y1 = terms2 then y2 - for y2 on (cdr terms2) - thereis (if (equal-p term1 (car y2) subst) - (rplacd y1 (cdr y2)) ;non-nil - nil))))))) - -(defun commutative-equal-p (x y subst) - (mvlet (((list* x y z) (args x)) - ((list* u v w) (args y))) - (and (or (eq z w) (equal-p z w subst)) - (cond - ((equal-p x u subst) - (equal-p y v subst)) - ((equal-p x v subst) - (equal-p y u subst)) - (t - nil))))) - -(defun associative-equal-p (x y subst) - (let ((fn (head x)) - (terms1 (args x)) - (terms2 (args y))) - (and (eql (argument-count-a1 fn terms1 subst) - (argument-count-a1 fn terms2 subst)) - (let (x y) - (loop - (cond - ((null terms1) - (return (null terms2))) - ((null terms2) - (return nil)) - (t - (setf (values x terms1) (first-and-rest-of-vector terms1 subst fn none)) - (setf (values y terms2) (first-and-rest-of-vector terms2 subst fn none)) - (unless (equal-p x y subst) - (return nil))))))))) - -(defun member-p (item list &optional subst) - (or (member item list) - (dotails (l list nil) - (when (equal-p item (first l) subst) - (return l))))) - -(defun assoc-p (item alist &optional subst) - (or (assoc item alist) - (dolist (pair alist nil) - (when (equal-p item (car pair) subst) - (return pair))))) - -(defun literal-member-p (atom polarity list) - (or (dolist (x list nil) - (when (and (eq atom (first x)) (eq polarity (second x))) - (return x))) - (dolist (x list nil) - (when (and (eq polarity (second x)) (equal-p atom (first x))) - (return x))))) - -;;; equal.lisp EOF diff --git a/snark-20120808r02/src/eval.abcl b/snark-20120808r02/src/eval.abcl deleted file mode 100644 index c2f7a15f20deaa98ca5c68d9cffd8099109fa358..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 39264 zcmb5VV|?6w+wGmCaVFNpwr!(vW81dTroqHE+t{`-u^Y3o-K34vo%XtJJomHr{+xSW 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diff --git a/snark-20120808r02/src/eval.lisp b/snark-20120808r02/src/eval.lisp deleted file mode 100644 index a007435..0000000 --- a/snark-20120808r02/src/eval.lisp +++ /dev/null @@ -1,350 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark -*- -;;; File: eval.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2012. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -(defvar *polarity*) - -(defun fifo (row) - (declare (ignore row)) - (values 0 nil)) - -(defun lifo (row) - (declare (ignore row)) - (values 0 t)) - -(defun row-depth (row) - (if (row-embedding-p row) - (row-depth (row-parent row)) - (wff-depth (row-wff row)))) - -(defun row-size (row) - (if (row-embedding-p row) - (row-size (row-parent row)) - (wff-size (row-wff row)))) - -(defun row-weight (row) - (if (row-embedding-p row) - (row-weight (row-parent row)) - (wff-weight (row-wff row)))) - -(defun row-size+depth (row) - (if (row-embedding-p row) - (row-size+depth (row-parent row)) - (wff-size+depth (row-wff row)))) - -(defun row-weight+depth (row) - (if (row-embedding-p row) - (row-weight+depth (row-parent row)) - (wff-weight+depth (row-wff row)))) - -(defun row-size+depth+level (row) - (if (row-embedding-p row) - (row-size+depth+level (row-parent row)) - (+ (wff-size+depth (row-wff row)) (row-level row)))) - -(defun row-weight+depth+level (row) - (if (row-embedding-p row) - (row-weight+depth+level (row-parent row)) - (+ (wff-weight+depth (row-wff row)) (row-level row)))) - -(defun row-priority (row) - (if (row-embedding-p row) - (row-priority (row-parent row)) - (+ (let ((f (row-priority-size-factor?))) - (if (= 0 f) 0 (* f (wff-size (row-wff row))))) - (let ((f (row-priority-weight-factor?))) - (if (= 0 f) 0 (* f (wff-weight (row-wff row))))) - (let ((f (row-priority-depth-factor?))) - (if (= 0 f) 0 (* f (wff-depth (row-wff row))))) - (let ((f (row-priority-level-factor?))) - (if (= 0 f) 0 (* f (row-level row))))))) - -(defun row-wff&answer-weight+depth (row) - (if (row-embedding-p row) - (row-wff&answer-weight+depth (row-parent row)) - (+ (wff-weight+depth (row-wff row)) (wff-weight+depth (row-answer row))))) - -(defun row-neg (row) - (if (row-embedding-p row) - (row-neg (row-parent row)) - (wff-neg (row-wff row)))) - -(defun row-neg-size+depth (row) - (if (row-embedding-p row) - (row-neg-size+depth (row-parent row)) - (list (wff-neg (row-wff row)) (wff-size+depth (row-wff row))))) - -(defun row-answer-weight (row) - (weight (row-answer row))) - -(defun wff-depth (wff &optional subst &key (polarity :pos)) - (prog-> - (wff-size* wff subst polarity ->* atom subst) - (depth atom subst))) - -(defun wff-size (wff &optional subst &key (polarity :pos)) - (prog-> - (wff-size* wff subst polarity ->* atom subst) - (size atom subst))) - -(defun wff-weight (wff &optional subst &key (polarity :pos)) - (prog-> - (wff-size* wff subst polarity ->* atom subst) - (weight atom subst))) - -(defun wff-size+depth (wff &optional subst &key (polarity :pos)) - (prog-> - (wff-size* wff subst polarity ->* atom subst) - (+ (size atom subst) (depth atom subst)))) - -(defun wff-weight+depth (wff &optional subst &key (polarity :pos)) - (prog-> - (wff-size* wff subst polarity ->* atom subst) - (+ (weight atom subst) (depth atom subst)))) - -(defun wff-length (wff &optional subst &key (polarity :pos)) - (prog-> - (wff-size* wff subst polarity ->* atom subst) - (declare (ignore atom subst)) - 1)) - -(defun wff-size* (atom-size-fun wff subst *polarity*) - (dereference - wff subst - :if-variable (funcall atom-size-fun wff subst) - :if-constant (cond - ((eq true wff) - (if (eq :pos *polarity*) 1000000 0)) - ((eq false wff) - (if (eq :pos *polarity*) 0 1000000)) - (t - (funcall atom-size-fun wff subst))) - :if-compound (let* ((head (head wff)) - (kind (function-logical-symbol-p head)) - (args (args wff))) - (ecase kind - (not - (wff-size* atom-size-fun (first args) subst (opposite-polarity *polarity*))) - ((and or) - (if (if (eq 'and kind) - (eq :pos *polarity*) - (eq :neg *polarity*)) - (let ((n 1000000)) - (dolist (arg args) - (let ((m (wff-size* atom-size-fun arg subst *polarity*))) - (when (< m n) - (setf n m)))) - n) - (let ((n 0)) - (dolist (arg args) - (incf n (wff-size* atom-size-fun arg subst *polarity*))) - n))) - (implies - (if (eq :pos *polarity*) - (+ (wff-size* atom-size-fun (first args) subst :neg) - (wff-size* atom-size-fun (second args) subst :pos)) - (min (wff-size* atom-size-fun (first args) subst :pos) - (wff-size* atom-size-fun (second args) subst :neg)))) - (implied-by - (if (eq :pos *polarity*) - (+ (wff-size* atom-size-fun (second args) subst :neg) - (wff-size* atom-size-fun (first args) subst :pos)) - (min (wff-size* atom-size-fun (second args) subst :pos) - (wff-size* atom-size-fun (first args) subst :neg)))) - ((iff xor) - (let ((y (if (null (cddr args)) - (second args) - (make-compound head (rest args))))) - (if (if (eq 'iff kind) - (eq :pos *polarity*) - (eq :neg *polarity*)) - (min (+ (wff-size* atom-size-fun (first args) subst :pos) - (wff-size* atom-size-fun y subst :neg)) - (+ (wff-size* atom-size-fun (first args) subst :neg) - (wff-size* atom-size-fun y subst :pos))) - (min (+ (wff-size* atom-size-fun (first args) subst :pos) - (wff-size* atom-size-fun y subst :pos)) - (+ (wff-size* atom-size-fun (first args) subst :neg) - (wff-size* atom-size-fun y subst :neg)))))) - ((if answer-if) - (if (eq :pos *polarity*) - (min (+ (wff-size* atom-size-fun (first args) subst :neg) - (wff-size* atom-size-fun (second args) subst :pos)) - (+ (wff-size* atom-size-fun (first args) subst :pos) - (wff-size* atom-size-fun (third args) subst :pos))) - (min (+ (wff-size* atom-size-fun (first args) subst :neg) - (wff-size* atom-size-fun (second args) subst :neg)) - (+ (wff-size* atom-size-fun (first args) subst :pos) - (wff-size* atom-size-fun (third args) subst :neg))))) - ((nil) ;atomic - (funcall atom-size-fun wff subst)))))) - -(defun wff-neg (wff &optional subst) - (dereference - wff subst - :if-constant 1 - :if-variable 1 - :if-compound (case (function-logical-symbol-p (head wff)) - ((not implies implied-by iff xor if) - 0) - ((and or) - (dolist (arg (args wff) 1) - (when (eql 0 (wff-neg arg subst)) - (return 0)))) - (otherwise - 1)))) - -(defun row-argument-count-limit-exceeded (row) - (prog-> - (row-argument-count-limit? ->nonnil lim) - (quote nil -> arguments) - (map-terms-in-wff (row-wff row) ->* term polarity) - (declare (ignore polarity)) - (cond - ((member-p term arguments) - ) - ((eql 0 lim) - (return-from prog-> t)) - (t - (decf lim) - (push term arguments))))) - -(defun row-weight-limit-exceeded (row) - (let ((lim (row-weight-limit?))) - (and lim - (not (row-input-p row)) - (not (row-embedding-p row)) - (< lim (row-weight row))))) - -(defun row-weight-before-simplification-limit-exceeded (row) - (let ((lim (row-weight-before-simplification-limit?))) - (and lim - (not (row-input-p row)) - (not (row-embedding-p row)) - (< lim (row-weight row))))) - -(defun row-proof-length-limit-exceeded (row lim) - (cond - ((member (row-reason row) '(assertion assumption negated_conjecture)) - nil) - (t - (let ((lim-1 (- lim 1)) - (row-numbers (make-sparse-vector :boolean t))) - (labels - ((row-proof-length-limit-exceeded* (row) - (unless (or (member (row-reason row) '(assertion assumption negated_conjecture)) - (sparef row-numbers (row-number row))) - (cond - ((= lim-1 (sparse-vector-count row-numbers)) - (return-from row-proof-length-limit-exceeded t)) - (t - (setf (sparef row-numbers (row-number row)) t) - (map-rows-in-reason #'row-proof-length-limit-exceeded* (row-reason row))))))) - (map-rows-in-reason #'row-proof-length-limit-exceeded* (row-reason row))))))) - -(defun maximum-and-minimum-clause-lengths (wff subst) - ;; return maximum and minimum lengths of clauses in cnf expansion of wff - (dereference - wff subst - :if-variable (values 1 1) - :if-constant (values 1 1) ;special case for true and false? - :if-compound (let* ((head (head wff)) - (kind (function-logical-symbol-p head))) - (ecase kind - (not - (maximum-and-minimum-clause-lengths-neg (arg1 wff) subst)) - (and - (let ((max 0) (min 1000000)) - (prog-> - (dolist (args wff) ->* arg) - (maximum-and-minimum-clause-lengths arg subst -> max1 min1) - (setf max (max max max1)) - (setf min (min min min1))) - (values max min))) - (or - (let ((max 0) (min 0)) - (prog-> - (dolist (args wff) ->* arg) - (maximum-and-minimum-clause-lengths arg subst -> max1 min1) - (setf max (+ max max1)) - (setf min (+ min min1))) - (values max min))) - (implies - (prog-> - (args wff -> args) - (maximum-and-minimum-clause-lengths-neg (first args) subst -> max1 min1) - (maximum-and-minimum-clause-lengths (second args) subst -> max2 min2) - (values (+ max1 max2) (+ min1 min2)))) - (implied-by - (prog-> - (args wff -> args) - (maximum-and-minimum-clause-lengths-neg (second args) subst -> max1 min1) - (maximum-and-minimum-clause-lengths (first args) subst -> max2 min2) - (values (+ max1 max2) (+ min1 min2)))) - ((iff xor if answer-if) - (unimplemented)) - ((nil) - (values 1 1)))))) - -(defun maximum-and-minimum-clause-lengths-neg (wff subst) - ;; return maximum and minimum lengths of clauses in cnf expansion of wff - (dereference - wff subst - :if-variable (values 1 1) - :if-constant (values 1 1) ;special case for true and false? - :if-compound (let* ((head (head wff)) - (kind (function-logical-symbol-p head))) - (ecase kind - (not - (maximum-and-minimum-clause-lengths (arg1 wff) subst)) - (and - (let ((max 0) (min 0)) - (prog-> - (dolist (args wff) ->* arg) - (maximum-and-minimum-clause-lengths-neg arg subst -> max1 min1) - (setf max (+ max max1)) - (setf min (+ min min1))) - (values max min))) - (or - (let ((max 0) (min 1000000)) - (prog-> - (dolist (args wff) ->* arg) - (maximum-and-minimum-clause-lengths-neg arg subst -> max1 min1) - (setf max (max max max1)) - (setf min (min min min1))) - (values max min))) - (implies - (prog-> - (args wff -> args) - (maximum-and-minimum-clause-lengths (first args) subst -> max1 min1) - (maximum-and-minimum-clause-lengths-neg (second args) subst -> max2 min2) - (values (max max1 max2) (min min1 min2)))) - (implied-by - (prog-> - (args wff -> args) - (maximum-and-minimum-clause-lengths (second args) subst -> max1 min1) - (maximum-and-minimum-clause-lengths-neg (first args) subst -> max2 min2) - (values (max max1 max2) (min min1 min2)))) - ((iff xor if answer-if) - (unimplemented)) - ((nil) - (values 1 1)))))) - -;;; eval.lisp EOF diff --git a/snark-20120808r02/src/feature-system.lisp b/snark-20120808r02/src/feature-system.lisp deleted file mode 100644 index e213106..0000000 --- a/snark-20120808r02/src/feature-system.lisp +++ /dev/null @@ -1,37 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: common-lisp-user -*- -;;; File: feature-system.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2005. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :common-lisp-user) - -(defpackage :snark-feature - (:use :common-lisp :snark-lisp) - (:export - #:initialize-features - #:make-feature #:declare-feature - #:declare-features-incompatible - #:feature? #:feature-parent - #:the-feature - #:delete-feature #:feature-live? - #:feature-union #:feature-subsumes? - #:print-feature-tree - )) - -(loads "feature") - -;;; feature-system.lisp EOF diff --git a/snark-20120808r02/src/feature-vector-index.abcl b/snark-20120808r02/src/feature-vector-index.abcl deleted file mode 100644 index a9cdb5221f1a932e73de949041bc2f100c7b18ea..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 59806 zcmbrlV`JUjySCdjZf0!Twrw`HZCg!)85@nAG`4Nqww*LqciMaJ=fC!T)_Pvtd%l_< z;QF287{_%Ed1+8EluuAlP@krg0wq8Fmmk{4e^V0!XBS5kT2~VzXFEq)3tM9ocRIa# zH5;W;F_ia-$|dO8v=~glDEF~34hgn2sQ~)a3cZ_RL1V-G8ll>1)@JQ!xFnqz=yQMB z8RwzL1a)wCv;^L$d2`43Pl~2hZq&cDZK@zp3O=QRP zMRAzq3SzuWVun1)#%XO!GI*+AJ>IK4yqk1T^~m(X@ARI=8)3P5_WO;M)?_Z!+~DJh 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a/snark-20120808r02/src/feature-vector-index.lisp +++ /dev/null @@ -1,157 +0,0 @@ -;;; -*- Mode: Lisp; Syntax: Common-Lisp; Package: snark -*- -;;; File: feature-vector-index.lisp -;;; The contents of this file are subject to the Mozilla Public License -;;; Version 1.1 (the "License"); you may not use this file except in -;;; compliance with the License. You may obtain a copy of the License at -;;; http://www.mozilla.org/MPL/ -;;; -;;; Software distributed under the License is distributed on an "AS IS" -;;; basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the -;;; License for the specific language governing rights and limitations -;;; under the License. -;;; -;;; The Original Code is SNARK. -;;; The Initial Developer of the Original Code is SRI International. -;;; Portions created by the Initial Developer are Copyright (C) 1981-2012. -;;; All Rights Reserved. -;;; -;;; Contributor(s): Mark E. Stickel . - -(in-package :snark) - -(defvar *feature-vector-row-index*) -(defvar *feature-vector-term-index*) - -(defstruct (feature-vector-index - (:include trie) - (:constructor make-feature-vector-index0) - (:copier nil)) - (entry-counter (make-counter) :read-only t) - (retrieve-generalization-calls 0 :type integer) ;forward subsumption - (retrieve-generalization-count 0 :type integer) - (retrieve-instance-calls 0 :type integer) ;backward subsumption - (retrieve-instance-count 0 :type integer)) - -(defun make-feature-vector-row-index () - (setf *feature-vector-row-index* (make-feature-vector-index0))) - -(defun make-feature-vector-term-index () - (setf *feature-vector-term-index* (make-feature-vector-index0))) - -(defun feature-vector-index-entry-number (entry) - (cond - ((row-p entry) - (row-number entry)) - (t - (tme-number entry)))) - -(defun feature-vector-index-entry-keys (entry) - (cond - ((row-p entry) - (clause-feature-vector (row-wff entry))) - (t - (atom-or-term-feature-vector (index-entry-term entry))))) - -(defun feature-vector-index-insert (entry index) - (let* ((entry# (feature-vector-index-entry-number entry)) - (keys (feature-vector-index-entry-keys entry)) - (entries (trieref index keys))) - (cond - ((null entries) - (setf (sparef (setf (trieref index keys) (make-sparse-vector)) entry#) entry) - (increment-counter (feature-vector-index-entry-counter index))) - (t - (let ((c (sparse-vector-count entries))) - (setf (sparef entries entry#) entry) - (let ((c* (sparse-vector-count entries))) - (when (< c c*) - (increment-counter (feature-vector-index-entry-counter index))))))) - nil)) - -(defun feature-vector-index-delete (entry index) - (let* ((entry# (feature-vector-index-entry-number entry)) - (keys (feature-vector-index-entry-keys entry)) - (entries (trieref index keys))) - (unless (null entries) - (let ((c (sparse-vector-count entries))) - (setf (sparef entries entry#) nil) - (let ((c* (sparse-vector-count entries))) - (when (> c c*) - (decrement-counter (feature-vector-index-entry-counter index)) - (when (= 0 c*) - (setf (trieref index keys) nil)))))) - nil)) - -(defun map-feature-vector-row-index-forward-subsumption-candidates (function row) - (prog-> - (identity *feature-vector-row-index* -> index) - (incf (feature-vector-index-retrieve-generalization-calls index)) - (map-fv-trie<= index (clause-feature-vector (row-wff row)) ->* entries) - (incf (feature-vector-index-retrieve-generalization-count index) (sparse-vector-count entries)) - (map-sparse-vector function entries))) - -(defun map-feature-vector-row-index-backward-subsumption-candidates (function row) - (prog-> - (identity *feature-vector-row-index* -> index) - (incf (feature-vector-index-retrieve-instance-calls index)) - (map-fv-trie>= index (clause-feature-vector (row-wff row)) ->* entries) - (incf (feature-vector-index-retrieve-instance-count index) (sparse-vector-count entries)) - (map-sparse-vector function entries))) - -(defun map-feature-vector-term-index-generalizations (function term &optional subst) - (prog-> - (dereference term subst :if-variable none :if-constant term :if-compound (head term) -> head) - (identity *feature-vector-term-index* -> index) - (incf (feature-vector-index-retrieve-generalization-calls index)) - (map-fv-trie<= index (atom-or-term-feature-vector term subst) ->* entries) - (map-sparse-vector entries ->* entry) - (index-entry-term entry -> term2) - (dereference term2 nil :if-variable head :if-constant term2 :if-compound (head term2) -> head2) - (when (eql head head2) - (incf (feature-vector-index-retrieve-generalization-count index)) - (funcall function entry)))) - -(defun map-feature-vector-term-index-instances (function term &optional subst) - (prog-> - (dereference term subst :if-variable none :if-constant term :if-compound (head term) -> head) - (identity *feature-vector-term-index* -> index) - (incf (feature-vector-index-retrieve-instance-calls index)) - (map-fv-trie>= index (atom-or-term-feature-vector term subst) ->* entries) - (map-sparse-vector entries ->* entry) - (index-entry-term entry -> term2) - (dereference term2 nil :if-variable none :if-constant term2 :if-compound (head term2) -> head2) - (when (or (eq none head) (eql head head2)) - (incf (feature-vector-index-retrieve-instance-count index)) - (funcall function entry)))) - -(defun print-feature-vector-index1 (index format1 format2 format3 format4) - (let ((entries-count 0)) - (prog-> - (map-trie index ->* entries) - (setf entries-count (+ entries-count (sparse-vector-count entries)))) - (mvlet (((:values current peak added deleted) (counter-values (feature-vector-index-entry-counter index)))) - (format t format1 current peak added deleted)) - (mvlet (((:values current peak added deleted) (counter-values (feature-vector-index-node-counter index)))) - (format t format2 current peak added deleted)) - (unless (eql 0 (feature-vector-index-retrieve-generalization-calls index)) - (format t format3 (feature-vector-index-retrieve-generalization-count index) (feature-vector-index-retrieve-generalization-calls index))) - (unless (eql 0 (feature-vector-index-retrieve-instance-calls index)) - (format t format4 (feature-vector-index-retrieve-instance-count index) (feature-vector-index-retrieve-instance-calls index))))) - -(defun print-feature-vector-row-index () - (print-feature-vector-index1 - *feature-vector-row-index* - "~%; Feature-vector-row-index has ~:D entr~:@P (~:D at peak, ~:D added, ~:D deleted)." - "~%; Feature-vector-row-index has ~:D node~:P (~:D at peak, ~:D added, ~:D deleted)." - "~%; Retrieved ~:D possibly forward subsuming row~:P in ~:D call~:P." - "~%; Retrieved ~:D possibly backward subsumed row~:P in ~:D call~:P.")) - -(defun print-feature-vector-term-index () - (print-feature-vector-index1 - *feature-vector-term-index* - "~%; Feature-vector-term-index has ~:D entr~:@P (~:D at peak, ~:D added, ~:D deleted)." - "~%; Feature-vector-term-index has ~:D node~:P (~:D at peak, ~:D added, ~:D deleted)." - "~%; Retrieved ~:D possibly generalization term~:P in ~:D call~:P." - "~%; Retrieved ~:D possibly instance term~:P in ~:D call~:P.")) - -;;; feature-vector-index.lisp EOF diff --git a/snark-20120808r02/src/feature-vector-trie.abcl b/snark-20120808r02/src/feature-vector-trie.abcl deleted file mode 100644 index 6ff4635095b1d623996d64668779e9f8cf2ca31d..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 13058 zcmbW7Ra9Kt)~#_TI20~Hg1fuBySr1kYjAgm;O?%$-9m7JTd?3x2y#izY3(HY?)^XP zMLiTRUp=foM;~MMp&$(ofer!#0|PRh5+n)o+k^4?-OSX`*~QV6*45P5+0K#H+0oLJ zPQNNq-)@-!eQ@JDy1F15X~HNWT;USeXwjPp34};A((H1Cju;?mGUD;kXIRPfFAJ1P z8`ZlVS?*_er*{ zn~SvDY-M|YJe~(_Bi?u^W>>4a_Jh<{_|I>|d#5GKu)y#KVvu}G5tcFX%#%VE(O6q3K)TBV0)ruCt8JB z;1~^kgPMZ7U>O<6w&TB&QP~XSn%?1@HcpqQ(3w;^1B*y;=Ne`P!ztj%woaAR&lC8p zpGW!zCL{4C*g$NuCG0UtF7XocMat%IQ%-E^@Wv+~k%c_0c)C*vm_m(LED~DnBOa*0 znd-=appCoqK>elE)w*gK`$>~(kRQ&iELua0!)-f 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$fv-maximum-feature-value 1)))) - -(definline fv-trie-key-value (key) - (mod key (+ $fv-maximum-feature-value 1))) - -(defun map-fv-trie<= (function trie keys) - (labels - ((mfvt (node keys done) - (unless done - (let ((d (trie-node-data node))) - (when d - (funcall function d)))) - (when keys - (prog-> - (rest keys -> r) - (mfvt node r t) - (trie-node-branches node ->nonnil b) - (first keys -> key) - ;; map over subtries for key-feature = 1 ... key-feature = key-value - (+ key (- 1 (fv-trie-key-value key)) -> key1) - (cond - ((= key1 key) - (sparef b key ->nonnil node) - (mfvt node r nil)) - (t - (map-sparse-vector b :min key1 :max key ->* node) - (mfvt node r nil))))))) - (mfvt (trie-top-node trie) keys nil))) - -(defun map-fv-trie>= (function trie keys) - (labels - ((mfvt (node keys) - (if (null keys) - (map-trie function node) - (prog-> - (trie-node-branches node ->nonnil b) - (rest keys -> r) - (first keys -> key) - (- key (fv-trie-key-value key) -> key0) - 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occurrences in positive literals -(defconstant $fv-offset-neg-max-depth 3) ;maximum depth of occurrences in negative literals -(defconstant $fv-offset-pos-min-depth 4) ;minimum depth of occurrences in positive literals (negated) -(defconstant $fv-offset-neg-min-depth 5) ;minimum depth of occurrences in negative literals (negated) -(defconstant $fv-number-ground 0) ;pseudo symbol-number for ground literal counts, doesn't match any actual symbol-number - -(declare-snark-option feature-vector-symbol-number-folding 10 10) - -(defun new-feature-vector () - (make-sparse-vector :default-value 0)) - -(defun feature-vector-list (fv) - ;; convert to list form suitable for input to trie.lisp operations - (let ((fv* nil)) - (prog-> - (map-sparse-vector-with-indexes fv :reverse t ->* v k) - (cl:assert (< 0 v)) - (setf fv* (list* (fv-trie-key k v) fv*))) - fv*)) - -(defun update-feature-vector (symbol-number relation-symbol? arity polarity count depth fv) - (let* ((symbol-number* (let ((n (feature-vector-symbol-number-folding?))) - (if n - (+ (mod symbol-number n) - (if relation-symbol? ;fold relations and functions separately - (+ 1 (case arity (0 (* 1 n)) (1 (* 2 n)) (2 (* 3 n)) (otherwise (* 4 n)))) - (+ 1 (case arity (0 (* 5 n)) (1 (* 6 n)) (2 (* 7 n)) (otherwise (* 8 n)))))) - symbol-number))) - (base (* $fv-features-per-symbol symbol-number*)) - (pos (ecase polarity (:pos t) (:neg nil)))) - (cl:assert (and (<= 1 count) (<= 0 depth))) - (cond - (relation-symbol? - (let* ((count-index (+ base (if pos $fv-offset-pos-count $fv-offset-neg-count))) - (v (sparef fv count-index)) - (v* (min $fv-maximum-feature-value (+ v count)))) - (unless (= v v*) - (setf (sparef fv count-index) v*)))) - (t - (let* ((max-depth-index (+ base (if pos $fv-offset-pos-max-depth $fv-offset-neg-max-depth))) - (v (sparef fv max-depth-index)) - (v* (min $fv-maximum-feature-value (max v depth)))) - (unless (= v v*) - (setf (sparef fv max-depth-index) v*))) - (cond - ((test-option49?) - (let* ((count-index (+ base (if pos $fv-offset-pos-count $fv-offset-neg-count))) - (v (sparef fv count-index)) - (v* (min $fv-maximum-feature-value (+ v count)))) - (unless (= v v*) - (setf (sparef fv count-index) v*)))) - (t - (let* ((min-depth-index (+ base (if pos $fv-offset-pos-min-depth $fv-offset-neg-min-depth))) - (v (sparef fv min-depth-index)) ;translate lower depths to higher feature values - (v* (max 1 (max v (- $fv-maximum-feature-value depth))))) - (unless (= v v*) - (setf (sparef fv min-depth-index) v*)) - (cond - ((and (= 0 v) (< 1 count)) - (let ((count-index (+ base (if pos $fv-offset-pos-count $fv-offset-neg-count)))) - (setf (sparef fv count-index) (min $fv-maximum-feature-value count)))) - ((< 0 v) ;don't store count for single occurrence - (let* ((count-index (+ base (if pos $fv-offset-pos-count $fv-offset-neg-count))) - (v (sparef fv count-index)) - (v* (min $fv-maximum-feature-value (if (= 0 v) (+ 1 count) (+ v count))))) - (unless (= v v*) - (setf (sparef fv count-index) v*)))))))))) - fv)) - -(defun clause-feature-vector (clause &optional subst (convert-to-list? t)) - (let ((fv (new-feature-vector))) - (prog-> - (map-atoms-in-clause clause ->* atom polarity) - (atom-feature-vector atom subst polarity fv) - (unless (test-option50?) - (when (ground-p atom subst) - (incf (sparef fv (+ $fv-number-ground (if (eq :pos polarity) $fv-offset-pos-count $fv-offset-neg-count))))))) - (if convert-to-list? (feature-vector-list fv) fv))) - -(defun atom-or-term-feature-vector (x &optional subst (convert-to-list? t)) - (let ((fv (new-feature-vector))) - (if (dereference - x subst - :if-constant (constant-boolean-valued-p x) - :if-compound-appl (function-boolean-valued-p (heada x))) - (atom-feature-vector x subst :pos fv) - (term-feature-vector x subst :pos 0 fv)) - (if convert-to-list? (feature-vector-list fv) fv))) - -(defun atom-feature-vector (atom &optional subst (polarity :pos) (fv (new-feature-vector))) - (dereference - atom subst - :if-constant (update-feature-vector (constant-number atom) t 0 polarity 1 0 fv) - :if-compound (progn - (update-feature-vector (function-number (head atom)) t (function-arity (head atom)) polarity 1 0 fv) - (mapc #'(lambda (arg) (term-feature-vector arg subst polarity 0 fv)) (args atom)))) - fv) - -(defun term-feature-vector (term &optional subst (polarity :pos) (depth 0) (fv (new-feature-vector))) - ;; in (p a (f b)), depth(p)=depth(a)=depth(f)=0, depth(b)=1 - ;; compute count of associative function symbols as if term is in unflattened form - ;; count(f)=2 for f(a,b,c) - ;; compute depth of terms with associatve function symbols as if term is in flattened form - ;; depth(a)=1 for f(f(a,b),c) - (labels - ((tfv (term depth) - (dereference - term subst - :if-constant (update-feature-vector (constant-number term) nil 0 polarity 1 depth fv) - :if-compound (prog-> - (head term -> head) - (args term -> args) - (if (function-associative head) head nil -> head-if-associative) - (if head-if-associative - (update-feature-vector (function-number head) nil (function-arity head) polarity (max (- (length args) 1) 1) depth fv) - (update-feature-vector (function-number head) nil (function-arity head) polarity 1 depth fv)) - (mapc #'(lambda (arg) - (if (and head-if-associative - (dereference - arg subst - :if-compound (and head-if-associative (eq head-if-associative (head arg))))) - (tfv arg depth) - (tfv arg (+ depth 1)))) - args))))) - (tfv term depth)) - fv) - -;;; feature-vector.lisp EOF diff --git a/snark-20120808r02/src/feature.abcl b/snark-20120808r02/src/feature.abcl deleted file mode 100644 index 8ab87dac270807e88f7547d0d00fc71cbc7449e6..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 189510 zcmb5VQ+TE8wzgYIDzviwsWNqxhP7m*)Tl=Hg?|o_RXiKm5dT8$b+2rHt`E0Ld 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