Playing with AVATAR

  title={Playing with AVATAR},
  author={Giles Reger and M. Suda and Andrei Voronkov},
Modern first-order resolution and superposition theorem provers use saturation algorithms to search for a refutation in clauses derivable from the input clauses. On hard problems, this search space often grows rapidly and performance degrades especially fast when long and heavy clauses are generated. One approach that has proved successful in taming the search space is splitting where clauses are split into components with disjoint variables and the components are asserted in turn. This reduces… 

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A unifying framework is presented that extends a saturation calculus with splitting and that embeds the result in a prover guided by a SAT solver, and allows us to study locking, a subsumption-like mechanism based on the current propositional model.

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The notion of lookahead selection is introduced that estimates looks ahead the effect of selecting a particular literal on the number of immediate children of the given clause and selects to minimize this value.

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A unifying framework is presented that extends a saturation calculus with splitting and embeds the result in a prover guided by a SAT solver, and allows us to study locking, a subsumption-like mechanism based on the current propositional model.

AVATAR Modulo Theories

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Techniques that address issues such as infinitely branching inference rules, new possibilities such as reasoning about formulas, and the need to curb the explosion of specific higher-order rules are described and extensively evaluated in the Zipperposition theorem prover.

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Limited resource strategy in resolution theorem proving

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Evaluating general purpose automated theorem proving systems

The TPTP Problem Library and Associated Infrastructure

  • G. Sutcliffe
  • Computer Science
    Journal of Automated Reasoning
  • 2009
This paper describes the First-Order Form (FOF) and Clause Normal Form (CNF) parts of the TPTP problem library, and the associated infrastructure. TPTP v3.5.0 was the last release containing only FOF

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