/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem 1: 

(VAR x y)
(RULES
and(x,x) -> x
not(and(x,y)) -> or(not(x),not(y))
not(not(x)) -> x
not(or(x,y)) -> and(not(x),not(y))
or(x,x) -> x
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 NOT(and(x,y)) -> NOT(x)
 NOT(and(x,y)) -> NOT(y)
 NOT(and(x,y)) -> OR(not(x),not(y))
 NOT(or(x,y)) -> AND(not(x),not(y))
 NOT(or(x,y)) -> NOT(x)
 NOT(or(x,y)) -> NOT(y)
-> Rules:
 and(x,x) -> x
 not(and(x,y)) -> or(not(x),not(y))
 not(not(x)) -> x
 not(or(x,y)) -> and(not(x),not(y))
 or(x,x) -> x

Problem 1: 

SCC Processor:
-> Pairs:
 NOT(and(x,y)) -> NOT(x)
 NOT(and(x,y)) -> NOT(y)
 NOT(and(x,y)) -> OR(not(x),not(y))
 NOT(or(x,y)) -> AND(not(x),not(y))
 NOT(or(x,y)) -> NOT(x)
 NOT(or(x,y)) -> NOT(y)
-> Rules:
 and(x,x) -> x
 not(and(x,y)) -> or(not(x),not(y))
 not(not(x)) -> x
 not(or(x,y)) -> and(not(x),not(y))
 or(x,x) -> x
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 NOT(and(x,y)) -> NOT(x)
 NOT(and(x,y)) -> NOT(y)
 NOT(or(x,y)) -> NOT(x)
 NOT(or(x,y)) -> NOT(y)
->->-> Rules:
 and(x,x) -> x
 not(and(x,y)) -> or(not(x),not(y))
 not(not(x)) -> x
 not(or(x,y)) -> and(not(x),not(y))
 or(x,x) -> x

Problem 1: 

Subterm Processor:
-> Pairs:
 NOT(and(x,y)) -> NOT(x)
 NOT(and(x,y)) -> NOT(y)
 NOT(or(x,y)) -> NOT(x)
 NOT(or(x,y)) -> NOT(y)
-> Rules:
 and(x,x) -> x
 not(and(x,y)) -> or(not(x),not(y))
 not(not(x)) -> x
 not(or(x,y)) -> and(not(x),not(y))
 or(x,x) -> x
->Projection:
 pi(NOT) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 and(x,x) -> x
 not(and(x,y)) -> or(not(x),not(y))
 not(not(x)) -> x
 not(or(x,y)) -> and(not(x),not(y))
 or(x,x) -> x
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.