Title
Finding the Hardest Formulas for Resolution
Abstract
A CNF formula is harder than another CNF formula with the same number of clauses if it requires a longer resolution proof. The resolution hardness numbers give for \\(m=1,2,\\dots \\) the length of a shortest proof of a hardest formula on m clauses. We compute the first ten resolution hardness numbers, along with the corresponding hardest formulas. We achieve this by a candidate filtering and symmetry breaking search scheme for limiting the number of potential candidates for formulas and an efficient SAT encoding for computing a shortest resolution proof of a given candidate formula.
Year
DOI
Venue
2020
10.1007/978-3-030-58475-7_30
CP
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Tomás Peitl164.82
Stefan Szeider2134199.97