TRS Standard pair #615296632

details

property	value
status	complete
benchmark	20.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n167.star.cs.uiowa.edu
space	Der95

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.24423789978 seconds
cpu usage	0.257795709
max memory	4407296.0

stage attributes

key	value
output-size	19931
starexec-result	"YES"

output

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


--------------------------------------------------------------------------------


YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 NOT(and(x:S,y:S)) -> NOT(not(not(x:S)))
 NOT(and(x:S,y:S)) -> NOT(not(not(y:S)))
 NOT(and(x:S,y:S)) -> NOT(not(x:S))
 NOT(and(x:S,y:S)) -> NOT(not(y:S))
 NOT(and(x:S,y:S)) -> NOT(x:S)
 NOT(and(x:S,y:S)) -> NOT(y:S)
 NOT(or(x:S,y:S)) -> NOT(not(not(x:S)))
 NOT(or(x:S,y:S)) -> NOT(not(not(y:S)))
 NOT(or(x:S,y:S)) -> NOT(not(x:S))
 NOT(or(x:S,y:S)) -> NOT(not(y:S))
 NOT(or(x:S,y:S)) -> NOT(x:S)
 NOT(or(x:S,y:S)) -> NOT(y:S)
-> Rules:
 not(not(x:S)) -> x:S
 not(and(x:S,y:S)) -> or(not(not(not(x:S))),not(not(not(y:S))))
 not(or(x:S,y:S)) -> and(not(not(not(x:S))),not(not(not(y:S))))
-> Usable rules:
 not(not(x:S)) -> x:S

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to TRS Standard