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VAMPIRE

swMATH ID: 2918
Software Authors: Riazanov, Alexandre; Voronkov, Andrei
Description: Vampire 8.0, [RV02,Vor05] is an automatic theorem prover for first-order classical logic. It consists of a shell and a kernel. The kernel implements the calculi of ordered binary resolution and superposition for handling equality. The splitting rule and negative equality splitting are simulated by the introduction of new predicate definitions and dynamic folding of such definitions. A number of standard redundancy criteria and simplification techniques are used for pruning the search space: subsumption, tautology deletion (optionally modulo commutativity), subsumption resolution, rewriting by ordered unit equalities, and a lightweight basicness. The CASC version uses the Knuth-Bendix ordering. The lexicographic path ordering has been implemented recently but will not be used for this CASC. A number of efficient indexing techniques are used to implement all major operations on sets of terms and clauses. Run-time algorithm specialisation is used to accelerate some costly operations, e.g., checks of ordering constraints. Although the kernel of the system works only with clausal normal forms, the shell accepts a problem in the full first-order logic syntax, clausifies it and performs a number of useful transformations before passing the result to the kernel. When a theorem is proved, the system produces a verifiable proof, which validates both the clausification phase and the refutation of the CNF.
Homepage: http://www.cs.miami.edu/~tptp/CASC/20/SystemDescriptions.html#Vampire---8.0
Keywords: VAMPIRE; high-performance theorem prover
Related Software: TPTP; E Theorem Prover; SPASS; z3; Isabelle/HOL; OTTER; Sledgehammer; Mizar; CVC4; MPTP 0.2; Coq; SMT-LIB; iProver; HOL; AVATAR; HOL Light; Mace4; MaLARea; Isabelle; Flyspeck
Cited in: 297 Documents

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
The design and implementation of VAMPIRE. Zbl 1021.68082
Riazanov, Alexandre; Voronkov, Andrei
2002
all top 5

Cited by 343 Authors

38 Voronkov, Andrei
32 Urban, Josef
20 Blanchette, Jasmin Christian
20 Kovács, Laura Ildikó
17 Kaliszyk, Cezary
17 Sutcliffe, Geoff
16 Reger, Giles
13 Suda, Martin
11 Benzmüller, Christoph Ewald
10 Jakubův, Jan
10 Paulson, Lawrence Charles
9 Schulz, Stephan
9 Waldmann, Uwe
9 Weidenbach, Christoph
8 Hustadt, Ullrich
8 Korovin, Konstantin
8 Riazanov, Alexandre
7 Bentkamp, Alexander
6 Böhme, Sascha
6 Bonacina, Maria Paola
6 Dixon, Clare
6 Robillard, Simon
6 Tourret, Sophie
5 Brown, Chad Edward
5 Cruanes, Simon
5 Hoder, Kryštof
5 Nieuwenhuis, Robert
5 Nipkow, Tobias
5 Sorge, Volker
5 Vukmirović, Petar
4 Bhayat, Ahmed
4 Chvalovský, Karel
4 Fleury, Mathias
4 Gleiss, Bernhard
4 Hozzová, Petra
4 Kühlwein, Daniel
4 Meng, Jia
4 Nalon, Cláudia
4 Olšák, Miroslav
4 Paskevich, Andrei
4 Pease, Adam
4 Peltier, Nicolas
4 Schmidt, Renate A.
4 Tinelli, Cesare
4 Vyskočil, Jiří
4 Winkler, Sarah
3 Asperti, Andrea
3 Barrett, Clark W.
3 Baumgartner, Peter
3 Colton, Simon
3 Degtyarev, Anatoli Ivanovich
3 Duarte, André
3 Färber, Michael
3 Fontaine, Pascal
3 Goertzel, Zarathustra Amadeus
3 Jamnik, Mateja
3 Janičić, Predrag
3 Kerber, Manfred
3 Konev, Boris
3 Lifschitz, Vladimir
3 Lühne, Patrick
3 Lyaletski, Alexander V.
3 Meier, Andreas
3 Plaisted, David Alan
3 Rabe, Florian
3 Rawson, Michael
3 Rinard, Martin C.
3 Schaub, Torsten H.
3 Schoisswohl, Johannes
3 Tassi, Enrico
3 Theiss, Frank
3 Verchinine, Konstantin
3 Zombori, Zsolt
2 Arkoudas, Konstantine
2 Bringsjord, Selmer
2 Bromberger, Martin
2 Burel, Guillaume
2 Choi, Seungyeob
2 Echenim, Mnacho
2 Ganzinger, Harald
2 Goubault-Larrecq, Jean
2 Gupta, Ashutosh
2 Hajdú, Márton
2 Hetzl, Stefan
2 Heule, Marijn J. H.
2 Hillenbrand, Thomas
2 Itzhaky, Shachar
2 Kotel’nikov, Evgeny A.
2 Kragl, Bernhard
2 Kuncak, Viktor
2 Kurihara, Masahito
2 Lambers, Leen
2 Ludwig, Michel
2 McCasland, Roy L.
2 Middeldorp, Aart
2 Moser, Georg
2 Narboux, Julien
2 Nguyen, Huu Hai
2 Nummelin, Visa
2 Pelzer, Björn
...and 243 more Authors

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