TRS Stand 20472 pair #381713443

details

property	value
status	complete
benchmark	2.33.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n006.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0171720981598 seconds
cpu usage	0.013870172
max memory	1511424.0

stage attributes

key	value
output-size	1939
starexec-result	YES

output

/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.

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