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Abstract:
We define a superposition calculus with explicit splitting and
an explicit, new backtracking rule on the basis of labelled clauses.
For the first time we show a superposition calculus with explicit
backtracking rule sound and complete. The new backtracking rule advances
backtracking with branch condensing known from SPASS.
An experimental evaluation of an implementation of the new rule
shows that it improves considerably the
previous SPASS splitting implementation.
Finally, we discuss the relationship between labelled first-order
splitting and DPLL style splitting with intelligent backtracking
and clause learning.
