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Show using DPLL that the following wff (in clausal form) is unsatisfiable: {{p1, p2, p4}, {¬p1, p2}, {¬p2, ¬p3, p4}, {¬p2, p3}, {¬p4}, {¬p4, p5}, {p3, p6}, {p2, p6}}

Show using DPLL that the following wff (in clausal form) is unsatisfiable: {{p1, p2, p4}, {¬p1, p2}, {¬p2, ¬p3, p4}, {¬p2, p3}, {¬p4}, {¬p4, p5}, {p3, p6}, {p2, p6}}

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Show using DPLL that the following wff (in clausal form) is unsatisfiable:
{{p1, p2, p4}, {¬p1, p2}, {¬p2, ¬p3, p4}, {¬p2, p3}, {¬p4}, {¬p4, p5}, {p3, p6}, {p2, p6}}

Expert Solution
Step 1

DPLL = Spliting + Unit Propagation

procedure DPLL CL(s)

input: set of colueses S

output: Satisfiable or unsatisfable

parameters: function select_literal

begin

S:= Propagate (s)

if S is empty then return satisfiable

if s contains then return unsatisfiabe

L:= select literal (s)

if DPLL CSU {L}) = satisfiable

then return sabsfiable.

else retum DPL CSU{T})

end

 

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